TSTP Solution File: SYN488+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN488+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 13:42:44 EST 2010

% Result   : Theorem 106.89s
% Output   : CNFRefutation 106.89s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 5350

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a2402)
          & c3_1(a2402)
          & ~ c1_1(a2402) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a2403)
          & ~ c2_1(a2403)
          & ~ c3_1(a2403) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a2404)
          & ~ c2_1(a2404)
          & ~ c3_1(a2404) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a2405)
          & c2_1(a2405)
          & ~ c3_1(a2405) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a2407)
          & ~ c1_1(a2407)
          & ~ c2_1(a2407) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a2408)
          & c3_1(a2408)
          & ~ c2_1(a2408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2410)
          & c1_1(a2410)
          & ~ c2_1(a2410) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2411)
          & ~ c1_1(a2411)
          & ~ c3_1(a2411) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a2412)
          & ~ c0_1(a2412)
          & ~ c2_1(a2412) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2413)
          & ~ c0_1(a2413)
          & ~ c1_1(a2413) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a2414)
          & ~ c1_1(a2414)
          & ~ c3_1(a2414) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a2416)
          & ~ c1_1(a2416)
          & ~ c2_1(a2416) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a2417)
          & ~ c0_1(a2417)
          & ~ c1_1(a2417) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a2418)
          & c2_1(a2418)
          & ~ c0_1(a2418) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a2420)
          & c2_1(a2420)
          & ~ c3_1(a2420) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a2422)
          & c3_1(a2422)
          & ~ c2_1(a2422) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a2425)
          & ~ c2_1(a2425)
          & ~ c3_1(a2425) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2427)
          & c3_1(a2427)
          & ~ c1_1(a2427) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a2428)
          & ~ c2_1(a2428)
          & ~ c3_1(a2428) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a2432)
          & c3_1(a2432)
          & ~ c0_1(a2432) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a2435)
          & ~ c0_1(a2435)
          & ~ c2_1(a2435) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2437)
          & c2_1(a2437)
          & ~ c1_1(a2437) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a2453)
          & ~ c1_1(a2453)
          & ~ c2_1(a2453) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a2455)
          & c3_1(a2455)
          & ~ c0_1(a2455) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2468)
          & ~ c0_1(a2468)
          & ~ c3_1(a2468) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a2478)
          & ~ c0_1(a2478)
          & ~ c3_1(a2478) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2484)
          & c1_1(a2484)
          & ~ c3_1(a2484) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a2500)
          & ~ c1_1(a2500)
          & ~ c3_1(a2500) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a2406)
          & c2_1(a2406)
          & c3_1(a2406) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a2409)
          & c2_1(a2409)
          & c3_1(a2409) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2450)
          & c1_1(a2450)
          & c3_1(a2450) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a2498)
          & c1_1(a2498)
          & c2_1(a2498) ) )
      & ( ! [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
           => ( c1_1(X3)
              | ~ c0_1(X3)
              | ~ c2_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | ~ c3_1(X5) ) )
        | hskp0 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp1 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c3_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | ~ c1_1(X10)
              | ~ c3_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | ~ c1_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | ~ c1_1(X15)
              | ~ c2_1(X15) ) )
        | hskp2 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | hskp3
        | hskp28 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | ~ c1_1(X18)
              | ~ c3_1(X18) ) )
        | hskp4 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) )
        | hskp5 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c0_1(X22)
              | ~ c3_1(X22) ) )
        | hskp29 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | hskp6
        | hskp7 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c2_1(X24) ) )
        | hskp8
        | hskp9 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) )
        | hskp10 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | hskp6
        | hskp11 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | hskp12 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c1_1(X33)
              | ~ c2_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | hskp13
        | hskp1 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | c3_1(X36) ) )
        | hskp14
        | hskp1 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c2_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | ~ c0_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | hskp15 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) )
        | hskp29
        | hskp0 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | hskp16
        | hskp13 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c1_1(X44) ) )
        | hskp17
        | hskp18 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c0_1(X46)
              | ~ c2_1(X46) ) )
        | hskp2 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c1_1(X48)
              | ~ c3_1(X48) ) )
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp4 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) )
        | hskp19 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | hskp12
        | hskp11 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | hskp20 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c0_1(X57)
              | ~ c2_1(X57) ) )
        | hskp7 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | hskp21
        | hskp17 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | hskp1
        | hskp9 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | hskp7
        | hskp20 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp2 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp6
        | hskp21 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp28
        | hskp9 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp15 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | hskp10 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | hskp30
        | hskp21 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c0_1(X69) ) )
        | hskp5
        | hskp22 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | hskp1 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | hskp23 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp10
        | hskp16 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c2_1(X77)
              | ~ c3_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c2_1(X79) ) )
        | hskp3 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | hskp2 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | hskp14 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | hskp0
        | hskp9 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c2_1(X85) ) )
        | hskp16
        | hskp12 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | c3_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp21
        | hskp11 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp15
        | hskp24 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c0_1(X94) ) )
        | hskp5
        | hskp19 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp30
        | hskp2 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | c3_1(X96)
              | ~ c1_1(X96) ) )
        | hskp6
        | hskp1 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp5
        | hskp1 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp19
        | hskp25 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | hskp25
        | hskp7 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp30 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp10 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | hskp6
        | hskp26 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c2_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp20 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | hskp6
        | hskp23 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c2_1(X108) ) )
        | hskp3
        | hskp24 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | hskp14
        | hskp23 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c2_1(X110)
              | ~ c3_1(X110) ) )
        | hskp20
        | hskp18 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c2_1(X111)
              | ~ c3_1(X111) ) )
        | hskp21
        | hskp0 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c2_1(X112)
              | ~ c3_1(X112) ) )
        | hskp15
        | hskp11 )
      & ( hskp31
        | hskp25
        | hskp27 )
      & ( hskp30
        | hskp26
        | hskp19 )
      & ( hskp26
        | hskp8
        | hskp11 )
      & ( hskp3
        | hskp5
        | hskp18 )
      & ( hskp5
        | hskp19
        | hskp25 )
      & ( hskp8
        | hskp9
        | hskp7 ) ),
    file('/tmp/tmpxA9AfK/sel_SYN488+1.p_2',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a2402)
            & c3_1(a2402)
            & ~ c1_1(a2402) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a2403)
            & ~ c2_1(a2403)
            & ~ c3_1(a2403) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a2404)
            & ~ c2_1(a2404)
            & ~ c3_1(a2404) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a2405)
            & c2_1(a2405)
            & ~ c3_1(a2405) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a2407)
            & ~ c1_1(a2407)
            & ~ c2_1(a2407) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a2408)
            & c3_1(a2408)
            & ~ c2_1(a2408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2410)
            & c1_1(a2410)
            & ~ c2_1(a2410) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2411)
            & ~ c1_1(a2411)
            & ~ c3_1(a2411) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a2412)
            & ~ c0_1(a2412)
            & ~ c2_1(a2412) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2413)
            & ~ c0_1(a2413)
            & ~ c1_1(a2413) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a2414)
            & ~ c1_1(a2414)
            & ~ c3_1(a2414) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a2416)
            & ~ c1_1(a2416)
            & ~ c2_1(a2416) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a2417)
            & ~ c0_1(a2417)
            & ~ c1_1(a2417) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a2418)
            & c2_1(a2418)
            & ~ c0_1(a2418) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a2420)
            & c2_1(a2420)
            & ~ c3_1(a2420) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a2422)
            & c3_1(a2422)
            & ~ c2_1(a2422) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a2425)
            & ~ c2_1(a2425)
            & ~ c3_1(a2425) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2427)
            & c3_1(a2427)
            & ~ c1_1(a2427) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a2428)
            & ~ c2_1(a2428)
            & ~ c3_1(a2428) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a2432)
            & c3_1(a2432)
            & ~ c0_1(a2432) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a2435)
            & ~ c0_1(a2435)
            & ~ c2_1(a2435) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2437)
            & c2_1(a2437)
            & ~ c1_1(a2437) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a2453)
            & ~ c1_1(a2453)
            & ~ c2_1(a2453) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a2455)
            & c3_1(a2455)
            & ~ c0_1(a2455) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2468)
            & ~ c0_1(a2468)
            & ~ c3_1(a2468) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a2478)
            & ~ c0_1(a2478)
            & ~ c3_1(a2478) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2484)
            & c1_1(a2484)
            & ~ c3_1(a2484) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a2500)
            & ~ c1_1(a2500)
            & ~ c3_1(a2500) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a2406)
            & c2_1(a2406)
            & c3_1(a2406) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a2409)
            & c2_1(a2409)
            & c3_1(a2409) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2450)
            & c1_1(a2450)
            & c3_1(a2450) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a2498)
            & c1_1(a2498)
            & c2_1(a2498) ) )
        & ( ! [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
             => ( c1_1(X3)
                | ~ c0_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | ~ c3_1(X5) ) )
          | hskp0 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c3_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c1_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | ~ c1_1(X15)
                | ~ c2_1(X15) ) )
          | hskp2 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | hskp3
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) )
          | hskp4 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | hskp5 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c3_1(X22) ) )
          | hskp29 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp6
          | hskp7 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | hskp8
          | hskp9 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp10 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp6
          | hskp11 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp12 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | hskp13
          | hskp1 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | hskp14
          | hskp1 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp15 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | hskp29
          | hskp0 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | hskp16
          | hskp13 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | hskp17
          | hskp18 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | ~ c2_1(X46) ) )
          | hskp2 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp4 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | hskp19 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | hskp12
          | hskp11 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp20 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | hskp7 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | hskp21
          | hskp17 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp1
          | hskp9 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp7
          | hskp20 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp2 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp6
          | hskp21 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp28
          | hskp9 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp15 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | hskp10 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp30
          | hskp21 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | hskp5
          | hskp22 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp1 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp23 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp10
          | hskp16 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c2_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | hskp3 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp2 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | hskp14 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | hskp0
          | hskp9 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c2_1(X85) ) )
          | hskp16
          | hskp12 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp21
          | hskp11 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp15
          | hskp24 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c0_1(X94) ) )
          | hskp5
          | hskp19 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp30
          | hskp2 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c3_1(X96)
                | ~ c1_1(X96) ) )
          | hskp6
          | hskp1 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp5
          | hskp1 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp19
          | hskp25 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp25
          | hskp7 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp30 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp10 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp6
          | hskp26 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp20 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | hskp6
          | hskp23 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | hskp3
          | hskp24 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | hskp14
          | hskp23 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp20
          | hskp18 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | ~ c3_1(X111) ) )
          | hskp21
          | hskp0 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp15
          | hskp11 )
        & ( hskp31
          | hskp25
          | hskp27 )
        & ( hskp30
          | hskp26
          | hskp19 )
        & ( hskp26
          | hskp8
          | hskp11 )
        & ( hskp3
          | hskp5
          | hskp18 )
        & ( hskp5
          | hskp19
          | hskp25 )
        & ( hskp8
          | hskp9
          | hskp7 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a2402)
            & c3_1(a2402)
            & ~ c1_1(a2402) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a2403)
            & ~ c2_1(a2403)
            & ~ c3_1(a2403) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a2404)
            & ~ c2_1(a2404)
            & ~ c3_1(a2404) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a2405)
            & c2_1(a2405)
            & ~ c3_1(a2405) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a2407)
            & ~ c1_1(a2407)
            & ~ c2_1(a2407) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a2408)
            & c3_1(a2408)
            & ~ c2_1(a2408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2410)
            & c1_1(a2410)
            & ~ c2_1(a2410) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2411)
            & ~ c1_1(a2411)
            & ~ c3_1(a2411) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a2412)
            & ~ c0_1(a2412)
            & ~ c2_1(a2412) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2413)
            & ~ c0_1(a2413)
            & ~ c1_1(a2413) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a2414)
            & ~ c1_1(a2414)
            & ~ c3_1(a2414) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a2416)
            & ~ c1_1(a2416)
            & ~ c2_1(a2416) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a2417)
            & ~ c0_1(a2417)
            & ~ c1_1(a2417) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a2418)
            & c2_1(a2418)
            & ~ c0_1(a2418) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a2420)
            & c2_1(a2420)
            & ~ c3_1(a2420) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a2422)
            & c3_1(a2422)
            & ~ c2_1(a2422) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a2425)
            & ~ c2_1(a2425)
            & ~ c3_1(a2425) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2427)
            & c3_1(a2427)
            & ~ c1_1(a2427) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a2428)
            & ~ c2_1(a2428)
            & ~ c3_1(a2428) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a2432)
            & c3_1(a2432)
            & ~ c0_1(a2432) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a2435)
            & ~ c0_1(a2435)
            & ~ c2_1(a2435) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2437)
            & c2_1(a2437)
            & ~ c1_1(a2437) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a2453)
            & ~ c1_1(a2453)
            & ~ c2_1(a2453) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a2455)
            & c3_1(a2455)
            & ~ c0_1(a2455) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2468)
            & ~ c0_1(a2468)
            & ~ c3_1(a2468) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a2478)
            & ~ c0_1(a2478)
            & ~ c3_1(a2478) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2484)
            & c1_1(a2484)
            & ~ c3_1(a2484) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a2500)
            & ~ c1_1(a2500)
            & ~ c3_1(a2500) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a2406)
            & c2_1(a2406)
            & c3_1(a2406) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a2409)
            & c2_1(a2409)
            & c3_1(a2409) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2450)
            & c1_1(a2450)
            & c3_1(a2450) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a2498)
            & c1_1(a2498)
            & c2_1(a2498) ) )
        & ( ! [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
             => ( c1_1(X3)
                | ~ c0_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | ~ c3_1(X5) ) )
          | hskp0 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c3_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c1_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | ~ c1_1(X15)
                | ~ c2_1(X15) ) )
          | hskp2 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | hskp3
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) )
          | hskp4 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | hskp5 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c3_1(X22) ) )
          | hskp29 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp6
          | hskp7 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | hskp8
          | hskp9 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp10 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp6
          | hskp11 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp12 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | hskp13
          | hskp1 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | hskp14
          | hskp1 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp15 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | hskp29
          | hskp0 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | hskp16
          | hskp13 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | hskp17
          | hskp18 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | ~ c2_1(X46) ) )
          | hskp2 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp4 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | hskp19 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | hskp12
          | hskp11 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp20 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | hskp7 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | hskp21
          | hskp17 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp1
          | hskp9 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp7
          | hskp20 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp2 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp6
          | hskp21 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp28
          | hskp9 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp15 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | hskp10 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp30
          | hskp21 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | hskp5
          | hskp22 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp1 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp23 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp10
          | hskp16 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c2_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | hskp3 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp2 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | hskp14 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | hskp0
          | hskp9 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c2_1(X85) ) )
          | hskp16
          | hskp12 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp21
          | hskp11 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp15
          | hskp24 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c0_1(X94) ) )
          | hskp5
          | hskp19 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp30
          | hskp2 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c3_1(X96)
                | ~ c1_1(X96) ) )
          | hskp6
          | hskp1 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp5
          | hskp1 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp19
          | hskp25 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp25
          | hskp7 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp30 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp10 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp6
          | hskp26 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp20 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | hskp6
          | hskp23 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | hskp3
          | hskp24 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | hskp14
          | hskp23 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp20
          | hskp18 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | ~ c3_1(X111) ) )
          | hskp21
          | hskp0 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp15
          | hskp11 )
        & ( hskp31
          | hskp25
          | hskp27 )
        & ( hskp30
          | hskp26
          | hskp19 )
        & ( hskp26
          | hskp8
          | hskp11 )
        & ( hskp3
          | hskp5
          | hskp18 )
        & ( hskp5
          | hskp19
          | hskp25 )
        & ( hskp8
          | hskp9
          | hskp7 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [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
          | c1_1(X3)
          | ~ c0_1(X3)
          | ~ c2_1(X3) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c1_1(X4)
          | c2_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c0_1(X5)
          | c1_1(X5)
          | ~ c3_1(X5) )
      | hskp0 )
    & ( ! [X6] :
          ( ~ ndr1_0
          | c0_1(X6)
          | c1_1(X6)
          | c2_1(X6) )
      | ! [X7] :
          ( ~ ndr1_0
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7) )
      | hskp1 )
    & ( ! [X8] :
          ( ~ ndr1_0
          | c0_1(X8)
          | c1_1(X8)
          | c2_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c3_1(X9)
          | ~ c0_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | c1_1(X11)
          | c2_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c1_1(X14)
          | c3_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c0_1(X15)
          | ~ c1_1(X15)
          | ~ c2_1(X15) )
      | hskp2 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c0_1(X16)
          | c1_1(X16)
          | c3_1(X16) )
      | hskp3
      | hskp28 )
    & ( ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | c0_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18) )
      | hskp4 )
    & ( ! [X19] :
          ( ~ ndr1_0
          | c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20) )
      | hskp5 )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | c1_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22) )
      | hskp29 )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23) )
      | hskp6
      | hskp7 )
    & ( ! [X24] :
          ( ~ ndr1_0
          | c0_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24) )
      | hskp8
      | hskp9 )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c2_1(X26)
          | c3_1(X26) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28) )
      | ! [X29] :
          ( ~ ndr1_0
          | c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29) )
      | hskp10 )
    & ( ! [X30] :
          ( ~ ndr1_0
          | c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30) )
      | hskp6
      | hskp11 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31) )
      | hskp12 )
    & ( ! [X32] :
          ( ~ ndr1_0
          | c0_1(X32)
          | c2_1(X32)
          | c3_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33) )
      | ! [X34] :
          ( ~ ndr1_0
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | c2_1(X35)
          | c3_1(X35) )
      | hskp13
      | hskp1 )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c2_1(X36)
          | c3_1(X36) )
      | hskp14
      | hskp1 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38) )
      | ! [X39] :
          ( ~ ndr1_0
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41) )
      | hskp15 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42) )
      | hskp29
      | hskp0 )
    & ( ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43) )
      | hskp16
      | hskp13 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44) )
      | hskp17
      | hskp18 )
    & ( ! [X45] :
          ( ~ ndr1_0
          | c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ c2_1(X46) )
      | hskp2 )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48) )
      | hskp12 )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49) )
      | ! [X50] :
          ( ~ ndr1_0
          | c1_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50) )
      | hskp4 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | c1_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52) )
      | hskp19 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53) )
      | hskp12
      | hskp11 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55) )
      | hskp20 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57) )
      | hskp7 )
    & ( ! [X58] :
          ( ~ ndr1_0
          | c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58) )
      | hskp21
      | hskp17 )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59) )
      | hskp1
      | hskp9 )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60) )
      | hskp7
      | hskp20 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61) )
      | ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62) )
      | hskp2 )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63) )
      | hskp6
      | hskp21 )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64) )
      | hskp28
      | hskp9 )
    & ( ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65) )
      | hskp15 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67) )
      | hskp10 )
    & ( ! [X68] :
          ( ~ ndr1_0
          | c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68) )
      | hskp30
      | hskp21 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69) )
      | hskp5
      | hskp22 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70) )
      | ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71) )
      | hskp1 )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72) )
      | ! [X73] :
          ( ~ ndr1_0
          | c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73) )
      | hskp23 )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74) )
      | hskp10
      | hskp16 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c1_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75) )
      | ! [X76] :
          ( ~ ndr1_0
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ c1_1(X76) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ c3_1(X77) ) )
    & ( ! [X78] :
          ( ~ ndr1_0
          | c1_1(X78)
          | c3_1(X78)
          | ~ c2_1(X78) )
      | ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79) )
      | hskp3 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81) )
      | hskp2 )
    & ( ! [X82] :
          ( ~ ndr1_0
          | c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83) )
      | hskp14 )
    & ( ! [X84] :
          ( ~ ndr1_0
          | c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84) )
      | hskp0
      | hskp9 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | c3_1(X85)
          | ~ c2_1(X85) )
      | hskp16
      | hskp12 )
    & ( ! [X86] :
          ( ~ ndr1_0
          | c1_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86) )
      | ! [X87] :
          ( ~ ndr1_0
          | c2_1(X87)
          | c3_1(X87)
          | ~ c1_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88) ) )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89) )
      | ! [X90] :
          ( ~ ndr1_0
          | c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91) ) )
    & ( ! [X92] :
          ( ~ ndr1_0
          | c1_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92) )
      | hskp21
      | hskp11 )
    & ( ! [X93] :
          ( ~ ndr1_0
          | c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93) )
      | hskp15
      | hskp24 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c2_1(X94)
          | c3_1(X94)
          | ~ c0_1(X94) )
      | hskp5
      | hskp19 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95) )
      | hskp30
      | hskp2 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c2_1(X96)
          | c3_1(X96)
          | ~ c1_1(X96) )
      | hskp6
      | hskp1 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97) )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98) )
      | hskp19
      | hskp25 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99) )
      | hskp25
      | hskp7 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100) )
      | ! [X101] :
          ( ~ ndr1_0
          | c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101) )
      | hskp30 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ c1_1(X102) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103) )
      | hskp10 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104) )
      | hskp6
      | hskp26 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106) )
      | hskp20 )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107) )
      | hskp6
      | hskp23 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c2_1(X108) )
      | hskp3
      | hskp24 )
    & ( ! [X109] :
          ( ~ ndr1_0
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109) )
      | hskp14
      | hskp23 )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110) )
      | hskp20
      | hskp18 )
    & ( ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111) )
      | hskp21
      | hskp0 )
    & ( ! [X112] :
          ( ~ ndr1_0
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112) )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X113] :
          ( ~ ndr1_0
          | c0_1(X113)
          | c1_1(X113)
          | c2_1(X113) )
      | ! [X114] :
          ( ~ ndr1_0
          | c0_1(X114)
          | c1_1(X114)
          | ~ c2_1(X114) )
      | ! [X115] :
          ( ~ ndr1_0
          | c1_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115) ) )
    & ( ! [X116] :
          ( ~ ndr1_0
          | c0_1(X116)
          | c1_1(X116)
          | c2_1(X116) )
      | ! [X117] :
          ( ~ ndr1_0
          | c0_1(X117)
          | c1_1(X117)
          | ~ c3_1(X117) )
      | hskp0 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | c0_1(X118)
          | c1_1(X118)
          | c2_1(X118) )
      | ! [X119] :
          ( ~ ndr1_0
          | c1_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119) )
      | hskp1 )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c1_1(X120)
          | c2_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | c2_1(X121)
          | c3_1(X121)
          | ~ c0_1(X121) )
      | ! [X122] :
          ( ~ ndr1_0
          | c2_1(X122)
          | ~ c1_1(X122)
          | ~ c3_1(X122) ) )
    & ( ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c1_1(X123)
          | c2_1(X123) )
      | ! [X124] :
          ( ~ ndr1_0
          | c2_1(X124)
          | c3_1(X124)
          | ~ c1_1(X124) )
      | ! [X125] :
          ( ~ ndr1_0
          | c2_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125) ) )
    & ( ! [X126] :
          ( ~ ndr1_0
          | c0_1(X126)
          | c1_1(X126)
          | c3_1(X126) )
      | ! [X127] :
          ( ~ ndr1_0
          | ~ c0_1(X127)
          | ~ c1_1(X127)
          | ~ c2_1(X127) )
      | hskp2 )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c1_1(X128)
          | c3_1(X128) )
      | hskp3
      | hskp28 )
    & ( ! [X129] :
          ( ~ ndr1_0
          | c0_1(X129)
          | c1_1(X129)
          | ~ c2_1(X129) )
      | ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | ~ c1_1(X130)
          | ~ c3_1(X130) )
      | hskp4 )
    & ( ! [X131] :
          ( ~ ndr1_0
          | c0_1(X131)
          | c1_1(X131)
          | ~ c2_1(X131) )
      | ! [X132] :
          ( ~ ndr1_0
          | c0_1(X132)
          | ~ c2_1(X132)
          | ~ c3_1(X132) )
      | hskp5 )
    & ( ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c1_1(X133)
          | ~ c2_1(X133) )
      | ! [X134] :
          ( ~ ndr1_0
          | c1_1(X134)
          | ~ c0_1(X134)
          | ~ c3_1(X134) )
      | hskp29 )
    & ( ! [X135] :
          ( ~ ndr1_0
          | c0_1(X135)
          | c1_1(X135)
          | ~ c2_1(X135) )
      | hskp6
      | hskp7 )
    & ( ! [X136] :
          ( ~ ndr1_0
          | c0_1(X136)
          | c1_1(X136)
          | ~ c2_1(X136) )
      | hskp8
      | hskp9 )
    & ( ! [X137] :
          ( ~ ndr1_0
          | c0_1(X137)
          | c1_1(X137)
          | ~ c3_1(X137) )
      | ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c2_1(X138)
          | c3_1(X138) )
      | ! [X139] :
          ( ~ ndr1_0
          | ~ c1_1(X139)
          | ~ c2_1(X139)
          | ~ c3_1(X139) ) )
    & ( ! [X140] :
          ( ~ ndr1_0
          | c0_1(X140)
          | c1_1(X140)
          | ~ c3_1(X140) )
      | ! [X141] :
          ( ~ ndr1_0
          | c1_1(X141)
          | ~ c2_1(X141)
          | ~ c3_1(X141) )
      | hskp10 )
    & ( ! [X142] :
          ( ~ ndr1_0
          | c0_1(X142)
          | c1_1(X142)
          | ~ c3_1(X142) )
      | hskp6
      | hskp11 )
    & ( ! [X143] :
          ( ~ ndr1_0
          | c0_1(X143)
          | c1_1(X143)
          | ~ c3_1(X143) )
      | hskp12 )
    & ( ! [X144] :
          ( ~ ndr1_0
          | c0_1(X144)
          | c2_1(X144)
          | c3_1(X144) )
      | ! [X145] :
          ( ~ ndr1_0
          | c0_1(X145)
          | ~ c1_1(X145)
          | ~ c2_1(X145) )
      | ! [X146] :
          ( ~ ndr1_0
          | c2_1(X146)
          | ~ c1_1(X146)
          | ~ c3_1(X146) ) )
    & ( ! [X147] :
          ( ~ ndr1_0
          | c0_1(X147)
          | c2_1(X147)
          | c3_1(X147) )
      | hskp13
      | hskp1 )
    & ( ! [X148] :
          ( ~ ndr1_0
          | c0_1(X148)
          | c2_1(X148)
          | c3_1(X148) )
      | hskp14
      | hskp1 )
    & ( ! [X149] :
          ( ~ ndr1_0
          | c0_1(X149)
          | c2_1(X149)
          | ~ c1_1(X149) )
      | ! [X150] :
          ( ~ ndr1_0
          | c1_1(X150)
          | c2_1(X150)
          | ~ c0_1(X150) )
      | ! [X151] :
          ( ~ ndr1_0
          | c2_1(X151)
          | ~ c0_1(X151)
          | ~ c1_1(X151) ) )
    & ( ! [X152] :
          ( ~ ndr1_0
          | c0_1(X152)
          | c2_1(X152)
          | ~ c1_1(X152) )
      | ! [X153] :
          ( ~ ndr1_0
          | ~ c0_1(X153)
          | ~ c1_1(X153)
          | ~ c2_1(X153) )
      | hskp15 )
    & ( ! [X154] :
          ( ~ ndr1_0
          | c0_1(X154)
          | c2_1(X154)
          | ~ c1_1(X154) )
      | hskp29
      | hskp0 )
    & ( ! [X155] :
          ( ~ ndr1_0
          | c0_1(X155)
          | c2_1(X155)
          | ~ c1_1(X155) )
      | hskp16
      | hskp13 )
    & ( ! [X156] :
          ( ~ ndr1_0
          | c0_1(X156)
          | c2_1(X156)
          | ~ c1_1(X156) )
      | hskp17
      | hskp18 )
    & ( ! [X157] :
          ( ~ ndr1_0
          | c0_1(X157)
          | c2_1(X157)
          | ~ c3_1(X157) )
      | ! [X158] :
          ( ~ ndr1_0
          | c3_1(X158)
          | ~ c0_1(X158)
          | ~ c2_1(X158) )
      | hskp2 )
    & ( ! [X159] :
          ( ~ ndr1_0
          | c0_1(X159)
          | c2_1(X159)
          | ~ c3_1(X159) )
      | ! [X160] :
          ( ~ ndr1_0
          | ~ c0_1(X160)
          | ~ c1_1(X160)
          | ~ c3_1(X160) )
      | hskp12 )
    & ( ! [X161] :
          ( ~ ndr1_0
          | c0_1(X161)
          | c3_1(X161)
          | ~ c1_1(X161) )
      | ! [X162] :
          ( ~ ndr1_0
          | c1_1(X162)
          | c2_1(X162)
          | ~ c3_1(X162) )
      | hskp4 )
    & ( ! [X163] :
          ( ~ ndr1_0
          | c0_1(X163)
          | ~ c1_1(X163)
          | ~ c2_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | c1_1(X164)
          | c3_1(X164)
          | ~ c0_1(X164) )
      | hskp19 )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c0_1(X165)
          | ~ c1_1(X165)
          | ~ c2_1(X165) )
      | hskp12
      | hskp11 )
    & ( ! [X166] :
          ( ~ ndr1_0
          | c0_1(X166)
          | ~ c1_1(X166)
          | ~ c3_1(X166) )
      | ! [X167] :
          ( ~ ndr1_0
          | c2_1(X167)
          | ~ c1_1(X167)
          | ~ c3_1(X167) )
      | hskp20 )
    & ( ! [X168] :
          ( ~ ndr1_0
          | c0_1(X168)
          | ~ c1_1(X168)
          | ~ c3_1(X168) )
      | ! [X169] :
          ( ~ ndr1_0
          | c3_1(X169)
          | ~ c0_1(X169)
          | ~ c2_1(X169) )
      | hskp7 )
    & ( ! [X170] :
          ( ~ ndr1_0
          | c0_1(X170)
          | ~ c1_1(X170)
          | ~ c3_1(X170) )
      | hskp21
      | hskp17 )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c0_1(X171)
          | ~ c1_1(X171)
          | ~ c3_1(X171) )
      | hskp1
      | hskp9 )
    & ( ! [X172] :
          ( ~ ndr1_0
          | c0_1(X172)
          | ~ c1_1(X172)
          | ~ c3_1(X172) )
      | hskp7
      | hskp20 )
    & ( ! [X173] :
          ( ~ ndr1_0
          | c0_1(X173)
          | ~ c2_1(X173)
          | ~ c3_1(X173) )
      | ! [X174] :
          ( ~ ndr1_0
          | c1_1(X174)
          | ~ c2_1(X174)
          | ~ c3_1(X174) )
      | hskp2 )
    & ( ! [X175] :
          ( ~ ndr1_0
          | c0_1(X175)
          | ~ c2_1(X175)
          | ~ c3_1(X175) )
      | hskp6
      | hskp21 )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c0_1(X176)
          | ~ c2_1(X176)
          | ~ c3_1(X176) )
      | hskp28
      | hskp9 )
    & ( ! [X177] :
          ( ~ ndr1_0
          | c0_1(X177)
          | ~ c2_1(X177)
          | ~ c3_1(X177) )
      | hskp15 )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c1_1(X178)
          | c2_1(X178)
          | ~ c0_1(X178) )
      | ! [X179] :
          ( ~ ndr1_0
          | c1_1(X179)
          | c3_1(X179)
          | ~ c0_1(X179) )
      | hskp10 )
    & ( ! [X180] :
          ( ~ ndr1_0
          | c1_1(X180)
          | c2_1(X180)
          | ~ c0_1(X180) )
      | hskp30
      | hskp21 )
    & ( ! [X181] :
          ( ~ ndr1_0
          | c1_1(X181)
          | c2_1(X181)
          | ~ c0_1(X181) )
      | hskp5
      | hskp22 )
    & ( ! [X182] :
          ( ~ ndr1_0
          | c1_1(X182)
          | c2_1(X182)
          | ~ c3_1(X182) )
      | ! [X183] :
          ( ~ ndr1_0
          | c1_1(X183)
          | ~ c2_1(X183)
          | ~ c3_1(X183) )
      | hskp1 )
    & ( ! [X184] :
          ( ~ ndr1_0
          | c1_1(X184)
          | c2_1(X184)
          | ~ c3_1(X184) )
      | ! [X185] :
          ( ~ ndr1_0
          | c2_1(X185)
          | c3_1(X185)
          | ~ c1_1(X185) )
      | hskp23 )
    & ( ! [X186] :
          ( ~ ndr1_0
          | c1_1(X186)
          | c2_1(X186)
          | ~ c3_1(X186) )
      | hskp10
      | hskp16 )
    & ( ! [X187] :
          ( ~ ndr1_0
          | c1_1(X187)
          | c3_1(X187)
          | ~ c0_1(X187) )
      | ! [X188] :
          ( ~ ndr1_0
          | c3_1(X188)
          | ~ c0_1(X188)
          | ~ c1_1(X188) )
      | ! [X189] :
          ( ~ ndr1_0
          | ~ c1_1(X189)
          | ~ c2_1(X189)
          | ~ c3_1(X189) ) )
    & ( ! [X190] :
          ( ~ ndr1_0
          | c1_1(X190)
          | c3_1(X190)
          | ~ c2_1(X190) )
      | ! [X191] :
          ( ~ ndr1_0
          | c1_1(X191)
          | ~ c0_1(X191)
          | ~ c2_1(X191) )
      | hskp3 )
    & ( ! [X192] :
          ( ~ ndr1_0
          | c1_1(X192)
          | c3_1(X192)
          | ~ c2_1(X192) )
      | ! [X193] :
          ( ~ ndr1_0
          | c2_1(X193)
          | ~ c0_1(X193)
          | ~ c1_1(X193) )
      | hskp2 )
    & ( ! [X194] :
          ( ~ ndr1_0
          | c1_1(X194)
          | c3_1(X194)
          | ~ c2_1(X194) )
      | ! [X195] :
          ( ~ ndr1_0
          | c3_1(X195)
          | ~ c0_1(X195)
          | ~ c1_1(X195) )
      | hskp14 )
    & ( ! [X196] :
          ( ~ ndr1_0
          | c1_1(X196)
          | c3_1(X196)
          | ~ c2_1(X196) )
      | hskp0
      | hskp9 )
    & ( ! [X197] :
          ( ~ ndr1_0
          | c1_1(X197)
          | c3_1(X197)
          | ~ c2_1(X197) )
      | hskp16
      | hskp12 )
    & ( ! [X198] :
          ( ~ ndr1_0
          | c1_1(X198)
          | ~ c0_1(X198)
          | ~ c2_1(X198) )
      | ! [X199] :
          ( ~ ndr1_0
          | c2_1(X199)
          | c3_1(X199)
          | ~ c1_1(X199) )
      | ! [X200] :
          ( ~ ndr1_0
          | ~ c0_1(X200)
          | ~ c2_1(X200)
          | ~ c3_1(X200) ) )
    & ( ! [X201] :
          ( ~ ndr1_0
          | c1_1(X201)
          | ~ c2_1(X201)
          | ~ c3_1(X201) )
      | ! [X202] :
          ( ~ ndr1_0
          | c2_1(X202)
          | c3_1(X202)
          | ~ c0_1(X202) )
      | ! [X203] :
          ( ~ ndr1_0
          | ~ c0_1(X203)
          | ~ c1_1(X203)
          | ~ c3_1(X203) ) )
    & ( ! [X204] :
          ( ~ ndr1_0
          | c1_1(X204)
          | ~ c2_1(X204)
          | ~ c3_1(X204) )
      | hskp21
      | hskp11 )
    & ( ! [X205] :
          ( ~ ndr1_0
          | c1_1(X205)
          | ~ c2_1(X205)
          | ~ c3_1(X205) )
      | hskp15
      | hskp24 )
    & ( ! [X206] :
          ( ~ ndr1_0
          | c2_1(X206)
          | c3_1(X206)
          | ~ c0_1(X206) )
      | hskp5
      | hskp19 )
    & ( ! [X207] :
          ( ~ ndr1_0
          | c2_1(X207)
          | c3_1(X207)
          | ~ c1_1(X207) )
      | hskp30
      | hskp2 )
    & ( ! [X208] :
          ( ~ ndr1_0
          | c2_1(X208)
          | c3_1(X208)
          | ~ c1_1(X208) )
      | hskp6
      | hskp1 )
    & ( ! [X209] :
          ( ~ ndr1_0
          | c2_1(X209)
          | ~ c0_1(X209)
          | ~ c1_1(X209) )
      | hskp5
      | hskp1 )
    & ( ! [X210] :
          ( ~ ndr1_0
          | c2_1(X210)
          | ~ c0_1(X210)
          | ~ c1_1(X210) )
      | hskp19
      | hskp25 )
    & ( ! [X211] :
          ( ~ ndr1_0
          | c2_1(X211)
          | ~ c0_1(X211)
          | ~ c1_1(X211) )
      | hskp25
      | hskp7 )
    & ( ! [X212] :
          ( ~ ndr1_0
          | c2_1(X212)
          | ~ c1_1(X212)
          | ~ c3_1(X212) )
      | ! [X213] :
          ( ~ ndr1_0
          | c3_1(X213)
          | ~ c0_1(X213)
          | ~ c1_1(X213) )
      | hskp30 )
    & ( ! [X214] :
          ( ~ ndr1_0
          | c3_1(X214)
          | ~ c0_1(X214)
          | ~ c1_1(X214) )
      | ! [X215] :
          ( ~ ndr1_0
          | ~ c1_1(X215)
          | ~ c2_1(X215)
          | ~ c3_1(X215) )
      | hskp10 )
    & ( ! [X216] :
          ( ~ ndr1_0
          | c3_1(X216)
          | ~ c0_1(X216)
          | ~ c1_1(X216) )
      | hskp6
      | hskp26 )
    & ( ! [X217] :
          ( ~ ndr1_0
          | c3_1(X217)
          | ~ c0_1(X217)
          | ~ c2_1(X217) )
      | ! [X218] :
          ( ~ ndr1_0
          | ~ c0_1(X218)
          | ~ c1_1(X218)
          | ~ c2_1(X218) )
      | hskp20 )
    & ( ! [X219] :
          ( ~ ndr1_0
          | c3_1(X219)
          | ~ c1_1(X219)
          | ~ c2_1(X219) )
      | hskp6
      | hskp23 )
    & ( ! [X220] :
          ( ~ ndr1_0
          | ~ c0_1(X220)
          | ~ c1_1(X220)
          | ~ c2_1(X220) )
      | hskp3
      | hskp24 )
    & ( ! [X221] :
          ( ~ ndr1_0
          | ~ c0_1(X221)
          | ~ c1_1(X221)
          | ~ c3_1(X221) )
      | hskp14
      | hskp23 )
    & ( ! [X222] :
          ( ~ ndr1_0
          | ~ c0_1(X222)
          | ~ c2_1(X222)
          | ~ c3_1(X222) )
      | hskp20
      | hskp18 )
    & ( ! [X223] :
          ( ~ ndr1_0
          | ~ c1_1(X223)
          | ~ c2_1(X223)
          | ~ c3_1(X223) )
      | hskp21
      | hskp0 )
    & ( ! [X224] :
          ( ~ ndr1_0
          | ~ c1_1(X224)
          | ~ c2_1(X224)
          | ~ c3_1(X224) )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224] :
      ( ( ~ ndr1_0
        | ~ c1_1(X224)
        | ~ c2_1(X224)
        | ~ c3_1(X224)
        | hskp15
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c1_1(X223)
        | ~ c2_1(X223)
        | ~ c3_1(X223)
        | hskp21
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X222)
        | ~ c2_1(X222)
        | ~ c3_1(X222)
        | hskp20
        | hskp18 )
      & ( ~ ndr1_0
        | ~ c0_1(X221)
        | ~ c1_1(X221)
        | ~ c3_1(X221)
        | hskp14
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X220)
        | ~ c1_1(X220)
        | ~ c2_1(X220)
        | hskp3
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X219)
        | ~ c1_1(X219)
        | ~ c2_1(X219)
        | hskp6
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X218)
        | ~ c1_1(X218)
        | ~ c2_1(X218)
        | ~ ndr1_0
        | c3_1(X217)
        | ~ c0_1(X217)
        | ~ c2_1(X217)
        | hskp20 )
      & ( ~ ndr1_0
        | c3_1(X216)
        | ~ c0_1(X216)
        | ~ c1_1(X216)
        | hskp6
        | hskp26 )
      & ( ~ ndr1_0
        | ~ c1_1(X215)
        | ~ c2_1(X215)
        | ~ c3_1(X215)
        | ~ ndr1_0
        | c3_1(X214)
        | ~ c0_1(X214)
        | ~ c1_1(X214)
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X213)
        | ~ c0_1(X213)
        | ~ c1_1(X213)
        | ~ ndr1_0
        | c2_1(X212)
        | ~ c1_1(X212)
        | ~ c3_1(X212)
        | hskp30 )
      & ( ~ ndr1_0
        | c2_1(X211)
        | ~ c0_1(X211)
        | ~ c1_1(X211)
        | hskp25
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X210)
        | ~ c0_1(X210)
        | ~ c1_1(X210)
        | hskp19
        | hskp25 )
      & ( ~ ndr1_0
        | c2_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | hskp5
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X208)
        | c3_1(X208)
        | ~ c1_1(X208)
        | hskp6
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X207)
        | c3_1(X207)
        | ~ c1_1(X207)
        | hskp30
        | hskp2 )
      & ( ~ ndr1_0
        | c2_1(X206)
        | c3_1(X206)
        | ~ c0_1(X206)
        | hskp5
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | ~ c2_1(X205)
        | ~ c3_1(X205)
        | hskp15
        | hskp24 )
      & ( ~ ndr1_0
        | c1_1(X204)
        | ~ c2_1(X204)
        | ~ c3_1(X204)
        | hskp21
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | ~ c3_1(X203)
        | ~ ndr1_0
        | c2_1(X202)
        | c3_1(X202)
        | ~ c0_1(X202)
        | ~ ndr1_0
        | c1_1(X201)
        | ~ c2_1(X201)
        | ~ c3_1(X201) )
      & ( ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ c3_1(X200)
        | ~ ndr1_0
        | c2_1(X199)
        | c3_1(X199)
        | ~ c1_1(X199)
        | ~ ndr1_0
        | c1_1(X198)
        | ~ c0_1(X198)
        | ~ c2_1(X198) )
      & ( ~ ndr1_0
        | c1_1(X197)
        | c3_1(X197)
        | ~ c2_1(X197)
        | hskp16
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c3_1(X196)
        | ~ c2_1(X196)
        | hskp0
        | hskp9 )
      & ( ~ ndr1_0
        | c3_1(X195)
        | ~ c0_1(X195)
        | ~ c1_1(X195)
        | ~ ndr1_0
        | c1_1(X194)
        | c3_1(X194)
        | ~ c2_1(X194)
        | hskp14 )
      & ( ~ ndr1_0
        | c2_1(X193)
        | ~ c0_1(X193)
        | ~ c1_1(X193)
        | ~ ndr1_0
        | c1_1(X192)
        | c3_1(X192)
        | ~ c2_1(X192)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X191)
        | ~ c0_1(X191)
        | ~ c2_1(X191)
        | ~ ndr1_0
        | c1_1(X190)
        | c3_1(X190)
        | ~ c2_1(X190)
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c1_1(X189)
        | ~ c2_1(X189)
        | ~ c3_1(X189)
        | ~ ndr1_0
        | c3_1(X188)
        | ~ c0_1(X188)
        | ~ c1_1(X188)
        | ~ ndr1_0
        | c1_1(X187)
        | c3_1(X187)
        | ~ c0_1(X187) )
      & ( ~ ndr1_0
        | c1_1(X186)
        | c2_1(X186)
        | ~ c3_1(X186)
        | hskp10
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X185)
        | c3_1(X185)
        | ~ c1_1(X185)
        | ~ ndr1_0
        | c1_1(X184)
        | c2_1(X184)
        | ~ c3_1(X184)
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | ~ ndr1_0
        | c1_1(X182)
        | c2_1(X182)
        | ~ c3_1(X182)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X181)
        | c2_1(X181)
        | ~ c0_1(X181)
        | hskp5
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X180)
        | c2_1(X180)
        | ~ c0_1(X180)
        | hskp30
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X179)
        | c3_1(X179)
        | ~ c0_1(X179)
        | ~ ndr1_0
        | c1_1(X178)
        | c2_1(X178)
        | ~ c0_1(X178)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X176)
        | ~ c2_1(X176)
        | ~ c3_1(X176)
        | hskp28
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | ~ c2_1(X175)
        | ~ c3_1(X175)
        | hskp6
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X174)
        | ~ c2_1(X174)
        | ~ c3_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | ~ c2_1(X173)
        | ~ c3_1(X173)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp7
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | hskp1
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X170)
        | ~ c1_1(X170)
        | ~ c3_1(X170)
        | hskp21
        | hskp17 )
      & ( ~ ndr1_0
        | c3_1(X169)
        | ~ c0_1(X169)
        | ~ c2_1(X169)
        | ~ ndr1_0
        | c0_1(X168)
        | ~ c1_1(X168)
        | ~ c3_1(X168)
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X167)
        | ~ c1_1(X167)
        | ~ c3_1(X167)
        | ~ ndr1_0
        | c0_1(X166)
        | ~ c1_1(X166)
        | ~ c3_1(X166)
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X165)
        | ~ c1_1(X165)
        | ~ c2_1(X165)
        | hskp12
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X164)
        | c3_1(X164)
        | ~ c0_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | ~ c1_1(X163)
        | ~ c2_1(X163)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X162)
        | c2_1(X162)
        | ~ c3_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c1_1(X161)
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X160)
        | ~ c1_1(X160)
        | ~ c3_1(X160)
        | ~ ndr1_0
        | c0_1(X159)
        | c2_1(X159)
        | ~ c3_1(X159)
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X158)
        | ~ c0_1(X158)
        | ~ c2_1(X158)
        | ~ ndr1_0
        | c0_1(X157)
        | c2_1(X157)
        | ~ c3_1(X157)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | ~ c1_1(X155)
        | hskp16
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X154)
        | c2_1(X154)
        | ~ c1_1(X154)
        | hskp29
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X153)
        | ~ c1_1(X153)
        | ~ c2_1(X153)
        | ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | ~ c1_1(X152)
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X151)
        | ~ c0_1(X151)
        | ~ c1_1(X151)
        | ~ ndr1_0
        | c1_1(X150)
        | c2_1(X150)
        | ~ c0_1(X150)
        | ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c1_1(X149) )
      & ( ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | hskp14
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | c3_1(X147)
        | hskp13
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X146)
        | ~ c1_1(X146)
        | ~ c3_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | ~ c1_1(X145)
        | ~ c2_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c2_1(X144)
        | c3_1(X144) )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c1_1(X143)
        | ~ c3_1(X143)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X142)
        | c1_1(X142)
        | ~ c3_1(X142)
        | hskp6
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X141)
        | ~ c2_1(X141)
        | ~ c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | c1_1(X140)
        | ~ c3_1(X140)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c1_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | ~ ndr1_0
        | c0_1(X137)
        | c1_1(X137)
        | ~ c3_1(X137) )
      & ( ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c2_1(X136)
        | hskp8
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X135)
        | c1_1(X135)
        | ~ c2_1(X135)
        | hskp6
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X134)
        | ~ c0_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c2_1(X133)
        | hskp29 )
      & ( ~ ndr1_0
        | c0_1(X132)
        | ~ c2_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c1_1(X131)
        | ~ c2_1(X131)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X130)
        | ~ c1_1(X130)
        | ~ c3_1(X130)
        | ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | ~ c2_1(X129)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | c3_1(X128)
        | hskp3
        | hskp28 )
      & ( ~ ndr1_0
        | ~ c0_1(X127)
        | ~ c1_1(X127)
        | ~ c2_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c1_1(X126)
        | c3_1(X126)
        | hskp2 )
      & ( ~ ndr1_0
        | c2_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c2_1(X124)
        | c3_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | c2_1(X123) )
      & ( ~ ndr1_0
        | c2_1(X122)
        | ~ c1_1(X122)
        | ~ c3_1(X122)
        | ~ ndr1_0
        | c2_1(X121)
        | c3_1(X121)
        | ~ c0_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120) )
      & ( ~ ndr1_0
        | c1_1(X119)
        | ~ c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c0_1(X118)
        | c1_1(X118)
        | c2_1(X118)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | ~ c3_1(X117)
        | ~ ndr1_0
        | c0_1(X116)
        | c1_1(X116)
        | c2_1(X116)
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X115)
        | ~ c0_1(X115)
        | ~ c2_1(X115)
        | ~ ndr1_0
        | c0_1(X114)
        | c1_1(X114)
        | ~ c2_1(X114)
        | ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | c2_1(X113) )
      & ( ~ hskp0
        | ( ndr1_0
          & c0_1(a2402)
          & c3_1(a2402)
          & ~ c1_1(a2402) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a2403)
          & ~ c2_1(a2403)
          & ~ c3_1(a2403) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a2404)
          & ~ c2_1(a2404)
          & ~ c3_1(a2404) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a2405)
          & c2_1(a2405)
          & ~ c3_1(a2405) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a2407)
          & ~ c1_1(a2407)
          & ~ c2_1(a2407) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a2408)
          & c3_1(a2408)
          & ~ c2_1(a2408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2410)
          & c1_1(a2410)
          & ~ c2_1(a2410) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2411)
          & ~ c1_1(a2411)
          & ~ c3_1(a2411) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a2412)
          & ~ c0_1(a2412)
          & ~ c2_1(a2412) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2413)
          & ~ c0_1(a2413)
          & ~ c1_1(a2413) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a2414)
          & ~ c1_1(a2414)
          & ~ c3_1(a2414) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a2416)
          & ~ c1_1(a2416)
          & ~ c2_1(a2416) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a2417)
          & ~ c0_1(a2417)
          & ~ c1_1(a2417) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a2418)
          & c2_1(a2418)
          & ~ c0_1(a2418) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a2420)
          & c2_1(a2420)
          & ~ c3_1(a2420) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a2422)
          & c3_1(a2422)
          & ~ c2_1(a2422) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a2425)
          & ~ c2_1(a2425)
          & ~ c3_1(a2425) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2427)
          & c3_1(a2427)
          & ~ c1_1(a2427) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a2428)
          & ~ c2_1(a2428)
          & ~ c3_1(a2428) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a2432)
          & c3_1(a2432)
          & ~ c0_1(a2432) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a2435)
          & ~ c0_1(a2435)
          & ~ c2_1(a2435) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2437)
          & c2_1(a2437)
          & ~ c1_1(a2437) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a2453)
          & ~ c1_1(a2453)
          & ~ c2_1(a2453) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a2455)
          & c3_1(a2455)
          & ~ c0_1(a2455) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2468)
          & ~ c0_1(a2468)
          & ~ c3_1(a2468) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a2478)
          & ~ c0_1(a2478)
          & ~ c3_1(a2478) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2484)
          & c1_1(a2484)
          & ~ c3_1(a2484) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a2500)
          & ~ c1_1(a2500)
          & ~ c3_1(a2500) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a2406)
          & c2_1(a2406)
          & c3_1(a2406) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a2409)
          & c2_1(a2409)
          & c3_1(a2409) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2450)
          & c1_1(a2450)
          & c3_1(a2450) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a2498)
          & c1_1(a2498)
          & c2_1(a2498) ) )
      & ( hskp31
        | hskp25
        | hskp27 )
      & ( hskp30
        | hskp26
        | hskp19 )
      & ( hskp26
        | hskp8
        | hskp11 )
      & ( hskp3
        | hskp5
        | hskp18 )
      & ( hskp5
        | hskp19
        | hskp25 )
      & ( hskp8
        | hskp9
        | hskp7 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224] :
      ( ( ~ ndr1_0
        | ~ c1_1(X224)
        | ~ c2_1(X224)
        | ~ c3_1(X224)
        | hskp15
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c1_1(X223)
        | ~ c2_1(X223)
        | ~ c3_1(X223)
        | hskp21
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X222)
        | ~ c2_1(X222)
        | ~ c3_1(X222)
        | hskp20
        | hskp18 )
      & ( ~ ndr1_0
        | ~ c0_1(X221)
        | ~ c1_1(X221)
        | ~ c3_1(X221)
        | hskp14
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X220)
        | ~ c1_1(X220)
        | ~ c2_1(X220)
        | hskp3
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X219)
        | ~ c1_1(X219)
        | ~ c2_1(X219)
        | hskp6
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X218)
        | ~ c1_1(X218)
        | ~ c2_1(X218)
        | ~ ndr1_0
        | c3_1(X217)
        | ~ c0_1(X217)
        | ~ c2_1(X217)
        | hskp20 )
      & ( ~ ndr1_0
        | c3_1(X216)
        | ~ c0_1(X216)
        | ~ c1_1(X216)
        | hskp6
        | hskp26 )
      & ( ~ ndr1_0
        | ~ c1_1(X215)
        | ~ c2_1(X215)
        | ~ c3_1(X215)
        | ~ ndr1_0
        | c3_1(X214)
        | ~ c0_1(X214)
        | ~ c1_1(X214)
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X213)
        | ~ c0_1(X213)
        | ~ c1_1(X213)
        | ~ ndr1_0
        | c2_1(X212)
        | ~ c1_1(X212)
        | ~ c3_1(X212)
        | hskp30 )
      & ( ~ ndr1_0
        | c2_1(X211)
        | ~ c0_1(X211)
        | ~ c1_1(X211)
        | hskp25
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X210)
        | ~ c0_1(X210)
        | ~ c1_1(X210)
        | hskp19
        | hskp25 )
      & ( ~ ndr1_0
        | c2_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | hskp5
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X208)
        | c3_1(X208)
        | ~ c1_1(X208)
        | hskp6
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X207)
        | c3_1(X207)
        | ~ c1_1(X207)
        | hskp30
        | hskp2 )
      & ( ~ ndr1_0
        | c2_1(X206)
        | c3_1(X206)
        | ~ c0_1(X206)
        | hskp5
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | ~ c2_1(X205)
        | ~ c3_1(X205)
        | hskp15
        | hskp24 )
      & ( ~ ndr1_0
        | c1_1(X204)
        | ~ c2_1(X204)
        | ~ c3_1(X204)
        | hskp21
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | ~ c3_1(X203)
        | ~ ndr1_0
        | c2_1(X202)
        | c3_1(X202)
        | ~ c0_1(X202)
        | ~ ndr1_0
        | c1_1(X201)
        | ~ c2_1(X201)
        | ~ c3_1(X201) )
      & ( ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ c3_1(X200)
        | ~ ndr1_0
        | c2_1(X199)
        | c3_1(X199)
        | ~ c1_1(X199)
        | ~ ndr1_0
        | c1_1(X198)
        | ~ c0_1(X198)
        | ~ c2_1(X198) )
      & ( ~ ndr1_0
        | c1_1(X197)
        | c3_1(X197)
        | ~ c2_1(X197)
        | hskp16
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c3_1(X196)
        | ~ c2_1(X196)
        | hskp0
        | hskp9 )
      & ( ~ ndr1_0
        | c3_1(X195)
        | ~ c0_1(X195)
        | ~ c1_1(X195)
        | ~ ndr1_0
        | c1_1(X194)
        | c3_1(X194)
        | ~ c2_1(X194)
        | hskp14 )
      & ( ~ ndr1_0
        | c2_1(X193)
        | ~ c0_1(X193)
        | ~ c1_1(X193)
        | ~ ndr1_0
        | c1_1(X192)
        | c3_1(X192)
        | ~ c2_1(X192)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X191)
        | ~ c0_1(X191)
        | ~ c2_1(X191)
        | ~ ndr1_0
        | c1_1(X190)
        | c3_1(X190)
        | ~ c2_1(X190)
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c1_1(X189)
        | ~ c2_1(X189)
        | ~ c3_1(X189)
        | ~ ndr1_0
        | c3_1(X188)
        | ~ c0_1(X188)
        | ~ c1_1(X188)
        | ~ ndr1_0
        | c1_1(X187)
        | c3_1(X187)
        | ~ c0_1(X187) )
      & ( ~ ndr1_0
        | c1_1(X186)
        | c2_1(X186)
        | ~ c3_1(X186)
        | hskp10
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X185)
        | c3_1(X185)
        | ~ c1_1(X185)
        | ~ ndr1_0
        | c1_1(X184)
        | c2_1(X184)
        | ~ c3_1(X184)
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | ~ ndr1_0
        | c1_1(X182)
        | c2_1(X182)
        | ~ c3_1(X182)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X181)
        | c2_1(X181)
        | ~ c0_1(X181)
        | hskp5
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X180)
        | c2_1(X180)
        | ~ c0_1(X180)
        | hskp30
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X179)
        | c3_1(X179)
        | ~ c0_1(X179)
        | ~ ndr1_0
        | c1_1(X178)
        | c2_1(X178)
        | ~ c0_1(X178)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X176)
        | ~ c2_1(X176)
        | ~ c3_1(X176)
        | hskp28
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | ~ c2_1(X175)
        | ~ c3_1(X175)
        | hskp6
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X174)
        | ~ c2_1(X174)
        | ~ c3_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | ~ c2_1(X173)
        | ~ c3_1(X173)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp7
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | hskp1
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X170)
        | ~ c1_1(X170)
        | ~ c3_1(X170)
        | hskp21
        | hskp17 )
      & ( ~ ndr1_0
        | c3_1(X169)
        | ~ c0_1(X169)
        | ~ c2_1(X169)
        | ~ ndr1_0
        | c0_1(X168)
        | ~ c1_1(X168)
        | ~ c3_1(X168)
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X167)
        | ~ c1_1(X167)
        | ~ c3_1(X167)
        | ~ ndr1_0
        | c0_1(X166)
        | ~ c1_1(X166)
        | ~ c3_1(X166)
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X165)
        | ~ c1_1(X165)
        | ~ c2_1(X165)
        | hskp12
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X164)
        | c3_1(X164)
        | ~ c0_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | ~ c1_1(X163)
        | ~ c2_1(X163)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X162)
        | c2_1(X162)
        | ~ c3_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c1_1(X161)
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X160)
        | ~ c1_1(X160)
        | ~ c3_1(X160)
        | ~ ndr1_0
        | c0_1(X159)
        | c2_1(X159)
        | ~ c3_1(X159)
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X158)
        | ~ c0_1(X158)
        | ~ c2_1(X158)
        | ~ ndr1_0
        | c0_1(X157)
        | c2_1(X157)
        | ~ c3_1(X157)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | ~ c1_1(X155)
        | hskp16
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X154)
        | c2_1(X154)
        | ~ c1_1(X154)
        | hskp29
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X153)
        | ~ c1_1(X153)
        | ~ c2_1(X153)
        | ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | ~ c1_1(X152)
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X151)
        | ~ c0_1(X151)
        | ~ c1_1(X151)
        | ~ ndr1_0
        | c1_1(X150)
        | c2_1(X150)
        | ~ c0_1(X150)
        | ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c1_1(X149) )
      & ( ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | hskp14
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | c3_1(X147)
        | hskp13
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X146)
        | ~ c1_1(X146)
        | ~ c3_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | ~ c1_1(X145)
        | ~ c2_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c2_1(X144)
        | c3_1(X144) )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c1_1(X143)
        | ~ c3_1(X143)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X142)
        | c1_1(X142)
        | ~ c3_1(X142)
        | hskp6
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X141)
        | ~ c2_1(X141)
        | ~ c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | c1_1(X140)
        | ~ c3_1(X140)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c1_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | ~ ndr1_0
        | c0_1(X137)
        | c1_1(X137)
        | ~ c3_1(X137) )
      & ( ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c2_1(X136)
        | hskp8
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X135)
        | c1_1(X135)
        | ~ c2_1(X135)
        | hskp6
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X134)
        | ~ c0_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c2_1(X133)
        | hskp29 )
      & ( ~ ndr1_0
        | c0_1(X132)
        | ~ c2_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c1_1(X131)
        | ~ c2_1(X131)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X130)
        | ~ c1_1(X130)
        | ~ c3_1(X130)
        | ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | ~ c2_1(X129)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | c3_1(X128)
        | hskp3
        | hskp28 )
      & ( ~ ndr1_0
        | ~ c0_1(X127)
        | ~ c1_1(X127)
        | ~ c2_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c1_1(X126)
        | c3_1(X126)
        | hskp2 )
      & ( ~ ndr1_0
        | c2_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c2_1(X124)
        | c3_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | c2_1(X123) )
      & ( ~ ndr1_0
        | c2_1(X122)
        | ~ c1_1(X122)
        | ~ c3_1(X122)
        | ~ ndr1_0
        | c2_1(X121)
        | c3_1(X121)
        | ~ c0_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120) )
      & ( ~ ndr1_0
        | c1_1(X119)
        | ~ c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c0_1(X118)
        | c1_1(X118)
        | c2_1(X118)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | ~ c3_1(X117)
        | ~ ndr1_0
        | c0_1(X116)
        | c1_1(X116)
        | c2_1(X116)
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X115)
        | ~ c0_1(X115)
        | ~ c2_1(X115)
        | ~ ndr1_0
        | c0_1(X114)
        | c1_1(X114)
        | ~ c2_1(X114)
        | ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | c2_1(X113) )
      & ( ndr1_0
        | ~ hskp0 )
      & ( c0_1(a2402)
        | ~ hskp0 )
      & ( c3_1(a2402)
        | ~ hskp0 )
      & ( ~ c1_1(a2402)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c1_1(a2403)
        | ~ hskp1 )
      & ( ~ c2_1(a2403)
        | ~ hskp1 )
      & ( ~ c3_1(a2403)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( ~ c1_1(a2404)
        | ~ hskp2 )
      & ( ~ c2_1(a2404)
        | ~ hskp2 )
      & ( ~ c3_1(a2404)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a2405)
        | ~ hskp3 )
      & ( c2_1(a2405)
        | ~ hskp3 )
      & ( ~ c3_1(a2405)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a2407)
        | ~ hskp4 )
      & ( ~ c1_1(a2407)
        | ~ hskp4 )
      & ( ~ c2_1(a2407)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c0_1(a2408)
        | ~ hskp5 )
      & ( c3_1(a2408)
        | ~ hskp5 )
      & ( ~ c2_1(a2408)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c0_1(a2410)
        | ~ hskp6 )
      & ( c1_1(a2410)
        | ~ hskp6 )
      & ( ~ c2_1(a2410)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c2_1(a2411)
        | ~ hskp7 )
      & ( ~ c1_1(a2411)
        | ~ hskp7 )
      & ( ~ c3_1(a2411)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c1_1(a2412)
        | ~ hskp8 )
      & ( ~ c0_1(a2412)
        | ~ hskp8 )
      & ( ~ c2_1(a2412)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c2_1(a2413)
        | ~ hskp9 )
      & ( ~ c0_1(a2413)
        | ~ hskp9 )
      & ( ~ c1_1(a2413)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c0_1(a2414)
        | ~ hskp10 )
      & ( ~ c1_1(a2414)
        | ~ hskp10 )
      & ( ~ c3_1(a2414)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c3_1(a2416)
        | ~ hskp11 )
      & ( ~ c1_1(a2416)
        | ~ hskp11 )
      & ( ~ c2_1(a2416)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c3_1(a2417)
        | ~ hskp12 )
      & ( ~ c0_1(a2417)
        | ~ hskp12 )
      & ( ~ c1_1(a2417)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c1_1(a2418)
        | ~ hskp13 )
      & ( c2_1(a2418)
        | ~ hskp13 )
      & ( ~ c0_1(a2418)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c1_1(a2420)
        | ~ hskp14 )
      & ( c2_1(a2420)
        | ~ hskp14 )
      & ( ~ c3_1(a2420)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c1_1(a2422)
        | ~ hskp15 )
      & ( c3_1(a2422)
        | ~ hskp15 )
      & ( ~ c2_1(a2422)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c0_1(a2425)
        | ~ hskp16 )
      & ( ~ c2_1(a2425)
        | ~ hskp16 )
      & ( ~ c3_1(a2425)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c2_1(a2427)
        | ~ hskp17 )
      & ( c3_1(a2427)
        | ~ hskp17 )
      & ( ~ c1_1(a2427)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( ~ c0_1(a2428)
        | ~ hskp18 )
      & ( ~ c2_1(a2428)
        | ~ hskp18 )
      & ( ~ c3_1(a2428)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a2432)
        | ~ hskp19 )
      & ( c3_1(a2432)
        | ~ hskp19 )
      & ( ~ c0_1(a2432)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c3_1(a2435)
        | ~ hskp20 )
      & ( ~ c0_1(a2435)
        | ~ hskp20 )
      & ( ~ c2_1(a2435)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c0_1(a2437)
        | ~ hskp21 )
      & ( c2_1(a2437)
        | ~ hskp21 )
      & ( ~ c1_1(a2437)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( ~ c0_1(a2453)
        | ~ hskp22 )
      & ( ~ c1_1(a2453)
        | ~ hskp22 )
      & ( ~ c2_1(a2453)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c2_1(a2455)
        | ~ hskp23 )
      & ( c3_1(a2455)
        | ~ hskp23 )
      & ( ~ c0_1(a2455)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c1_1(a2468)
        | ~ hskp24 )
      & ( ~ c0_1(a2468)
        | ~ hskp24 )
      & ( ~ c3_1(a2468)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c2_1(a2478)
        | ~ hskp25 )
      & ( ~ c0_1(a2478)
        | ~ hskp25 )
      & ( ~ c3_1(a2478)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a2484)
        | ~ hskp26 )
      & ( c1_1(a2484)
        | ~ hskp26 )
      & ( ~ c3_1(a2484)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( ~ c0_1(a2500)
        | ~ hskp27 )
      & ( ~ c1_1(a2500)
        | ~ hskp27 )
      & ( ~ c3_1(a2500)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c1_1(a2406)
        | ~ hskp28 )
      & ( c2_1(a2406)
        | ~ hskp28 )
      & ( c3_1(a2406)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a2409)
        | ~ hskp29 )
      & ( c2_1(a2409)
        | ~ hskp29 )
      & ( c3_1(a2409)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c0_1(a2450)
        | ~ hskp30 )
      & ( c1_1(a2450)
        | ~ hskp30 )
      & ( c3_1(a2450)
        | ~ hskp30 )
      & ( ndr1_0
        | ~ hskp31 )
      & ( c0_1(a2498)
        | ~ hskp31 )
      & ( c1_1(a2498)
        | ~ hskp31 )
      & ( c2_1(a2498)
        | ~ hskp31 )
      & ( hskp31
        | hskp25
        | hskp27 )
      & ( hskp30
        | hskp26
        | hskp19 )
      & ( hskp26
        | hskp8
        | hskp11 )
      & ( hskp3
        | hskp5
        | hskp18 )
      & ( hskp5
        | hskp19
        | hskp25 )
      & ( hskp8
        | hskp9
        | hskp7 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(10,negated_conjecture,
    ( hskp18
    | hskp5
    | hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp11
    | hskp8
    | hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( hskp19
    | hskp26
    | hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( c2_1(a2498)
    | ~ hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(15,negated_conjecture,
    ( c1_1(a2498)
    | ~ hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(16,negated_conjecture,
    ( c0_1(a2498)
    | ~ hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c3_1(a2450)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(19,negated_conjecture,
    ( c1_1(a2450)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( c0_1(a2450)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c3_1(a2409)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( c0_1(a2409)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c3_1(a2406)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( c2_1(a2406)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(28,negated_conjecture,
    ( c1_1(a2406)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a2500) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(31,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a2500) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(32,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a2500) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(35,negated_conjecture,
    ( c1_1(a2484)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(36,negated_conjecture,
    ( c0_1(a2484)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2478) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(39,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2478) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a2468) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(43,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a2468) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(44,negated_conjecture,
    ( c1_1(a2468)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a2455) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(47,negated_conjecture,
    ( c3_1(a2455)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( c2_1(a2455)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2453) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(51,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a2453) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a2437) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(55,negated_conjecture,
    ( c2_1(a2437)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(56,negated_conjecture,
    ( c0_1(a2437)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a2435) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(60,negated_conjecture,
    ( c3_1(a2435)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a2432) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( c3_1(a2432)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(64,negated_conjecture,
    ( c1_1(a2432)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2428) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2428) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(68,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2428) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(69,negated_conjecture,
    ( ndr1_0
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(71,negated_conjecture,
    ( c3_1(a2427)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(72,negated_conjecture,
    ( c2_1(a2427)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2425) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(75,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2425) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(76,negated_conjecture,
    ( c0_1(a2425)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(78,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(79,negated_conjecture,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(80,negated_conjecture,
    ( c1_1(a2422)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(83,negated_conjecture,
    ( c2_1(a2420)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(84,negated_conjecture,
    ( c1_1(a2420)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a2418) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(87,negated_conjecture,
    ( c2_1(a2418)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(88,negated_conjecture,
    ( c1_1(a2418)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(91,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( c3_1(a2417)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a2416) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(96,negated_conjecture,
    ( c3_1(a2416)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2414) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2414) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(100,negated_conjecture,
    ( c0_1(a2414)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a2413) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(103,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(104,negated_conjecture,
    ( c2_1(a2413)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a2412) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(107,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(108,negated_conjecture,
    ( c1_1(a2412)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a2411) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(111,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a2411) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(112,negated_conjecture,
    ( c2_1(a2411)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a2410) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( c1_1(a2410)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a2408) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(119,negated_conjecture,
    ( c3_1(a2408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(120,negated_conjecture,
    ( c0_1(a2408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(121,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a2407) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(123,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a2407) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( c0_1(a2407)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2405) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(127,negated_conjecture,
    ( c2_1(a2405)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(128,negated_conjecture,
    ( c0_1(a2405)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(130,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2404) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(131,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a2404) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a2404) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2403) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(136,negated_conjecture,
    ( c1_1(a2403)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(138,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a2402) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(139,negated_conjecture,
    ( c3_1(a2402)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(140,negated_conjecture,
    ( c0_1(a2402)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

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

cnf(144,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(147,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | c1_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(148,negated_conjecture,
    ( hskp28
    | hskp3
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(149,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(150,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp29
    | c1_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(152,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(153,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(154,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(155,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(156,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(158,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( hskp1
    | hskp13
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(160,negated_conjecture,
    ( hskp1
    | hskp14
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(163,negated_conjecture,
    ( hskp0
    | hskp29
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(164,negated_conjecture,
    ( hskp13
    | hskp16
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(165,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(167,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(168,negated_conjecture,
    ( hskp4
    | c3_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(169,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( hskp11
    | hskp12
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( hskp17
    | hskp21
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(175,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(176,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(177,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(178,negated_conjecture,
    ( hskp9
    | hskp28
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp21
    | hskp30
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(182,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(183,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(185,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(187,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( hskp14
    | c3_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp9
    | hskp0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(191,negated_conjecture,
    ( hskp12
    | hskp16
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(192,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(194,negated_conjecture,
    ( hskp11
    | hskp21
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(195,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(196,negated_conjecture,
    ( hskp19
    | hskp5
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(197,negated_conjecture,
    ( hskp2
    | hskp30
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(198,negated_conjecture,
    ( hskp1
    | hskp6
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(199,negated_conjecture,
    ( hskp1
    | hskp5
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(200,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(201,negated_conjecture,
    ( hskp7
    | hskp25
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(202,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(203,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(204,negated_conjecture,
    ( hskp26
    | hskp6
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(205,negated_conjecture,
    ( hskp20
    | 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(206,negated_conjecture,
    ( hskp23
    | hskp6
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(207,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(208,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(209,negated_conjecture,
    ( hskp18
    | hskp20
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(210,negated_conjecture,
    ( hskp0
    | hskp21
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(211,negated_conjecture,
    ( hskp11
    | hskp15
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(212,negated_conjecture,
    ( ndr1_0
    | hskp5
    | hskp3 ),
    inference(spm,[status(thm)],[69,10,theory(equality)]) ).

cnf(1494,negated_conjecture,
    ( hskp5
    | ndr1_0 ),
    inference(csr,[status(thm)],[212,129]) ).

cnf(1495,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[1494,121]) ).

cnf(1496,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[192,1495,theory(equality)]) ).

cnf(1497,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1496,theory(equality)]) ).

cnf(1498,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[193,1495,theory(equality)]) ).

cnf(1499,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1498,theory(equality)]) ).

cnf(1500,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,1495,theory(equality)]) ).

cnf(1501,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1500,theory(equality)]) ).

cnf(1502,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[161,1495,theory(equality)]) ).

cnf(1503,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1502,theory(equality)]) ).

cnf(1504,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[158,1495,theory(equality)]) ).

cnf(1505,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1504,theory(equality)]) ).

cnf(1506,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[154,1495,theory(equality)]) ).

cnf(1507,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1506,theory(equality)]) ).

cnf(1510,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[145,1495,theory(equality)]) ).

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

cnf(1512,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | $false ),
    inference(rw,[status(thm)],[142,1495,theory(equality)]) ).

cnf(1513,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[1512,theory(equality)]) ).

cnf(1514,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[205,1495,theory(equality)]) ).

cnf(1515,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1514,theory(equality)]) ).

cnf(1516,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[203,1495,theory(equality)]) ).

cnf(1517,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1516,theory(equality)]) ).

cnf(1518,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[202,1495,theory(equality)]) ).

cnf(1519,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1518,theory(equality)]) ).

cnf(1520,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[171,1495,theory(equality)]) ).

cnf(1521,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1520,theory(equality)]) ).

cnf(1522,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[162,1495,theory(equality)]) ).

cnf(1523,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1522,theory(equality)]) ).

cnf(1524,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[167,1495,theory(equality)]) ).

cnf(1525,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1524,theory(equality)]) ).

cnf(1526,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,1495,theory(equality)]) ).

cnf(1527,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1526,theory(equality)]) ).

cnf(1528,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[176,1495,theory(equality)]) ).

cnf(1529,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1528,theory(equality)]) ).

cnf(1530,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[151,1495,theory(equality)]) ).

cnf(1531,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1530,theory(equality)]) ).

cnf(1532,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[169,1495,theory(equality)]) ).

cnf(1533,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1532,theory(equality)]) ).

cnf(1534,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[189,1495,theory(equality)]) ).

cnf(1535,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1534,theory(equality)]) ).

cnf(1536,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[155,1495,theory(equality)]) ).

cnf(1537,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1536,theory(equality)]) ).

cnf(1538,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[150,1495,theory(equality)]) ).

cnf(1539,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1538,theory(equality)]) ).

cnf(1540,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[149,1495,theory(equality)]) ).

cnf(1541,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1540,theory(equality)]) ).

cnf(1542,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[187,1495,theory(equality)]) ).

cnf(1543,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1542,theory(equality)]) ).

cnf(1544,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,1495,theory(equality)]) ).

cnf(1545,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1544,theory(equality)]) ).

cnf(1546,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[147,1495,theory(equality)]) ).

cnf(1547,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1546,theory(equality)]) ).

cnf(1548,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[166,1495,theory(equality)]) ).

cnf(1549,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1548,theory(equality)]) ).

cnf(1550,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[183,1495,theory(equality)]) ).

cnf(1551,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1550,theory(equality)]) ).

cnf(1552,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,1495,theory(equality)]) ).

cnf(1553,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1552,theory(equality)]) ).

cnf(1554,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,1495,theory(equality)]) ).

cnf(1555,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1554,theory(equality)]) ).

cnf(1556,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[168,1495,theory(equality)]) ).

cnf(1557,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1556,theory(equality)]) ).

cnf(1558,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[144,1495,theory(equality)]) ).

cnf(1559,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1558,theory(equality)]) ).

cnf(1560,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[143,1495,theory(equality)]) ).

cnf(1561,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1560,theory(equality)]) ).

cnf(1562,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[209,1495,theory(equality)]) ).

cnf(1563,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1562,theory(equality)]) ).

cnf(1564,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[208,1495,theory(equality)]) ).

cnf(1565,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1564,theory(equality)]) ).

cnf(1566,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[211,1495,theory(equality)]) ).

cnf(1567,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1566,theory(equality)]) ).

cnf(1568,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[207,1495,theory(equality)]) ).

cnf(1569,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1568,theory(equality)]) ).

cnf(1570,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[210,1495,theory(equality)]) ).

cnf(1571,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1570,theory(equality)]) ).

cnf(1572,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[200,1495,theory(equality)]) ).

cnf(1573,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1572,theory(equality)]) ).

cnf(1574,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[173,1495,theory(equality)]) ).

cnf(1575,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1574,theory(equality)]) ).

cnf(1576,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[195,1495,theory(equality)]) ).

cnf(1577,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1576,theory(equality)]) ).

cnf(1578,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[194,1495,theory(equality)]) ).

cnf(1579,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1578,theory(equality)]) ).

cnf(1580,negated_conjecture,
    ( hskp12
    | hskp11
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[170,1495,theory(equality)]) ).

cnf(1581,negated_conjecture,
    ( hskp12
    | hskp11
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1580,theory(equality)]) ).

cnf(1582,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[178,1495,theory(equality)]) ).

cnf(1583,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1582,theory(equality)]) ).

cnf(1584,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[201,1495,theory(equality)]) ).

cnf(1585,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1584,theory(equality)]) ).

cnf(1586,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[175,1495,theory(equality)]) ).

cnf(1587,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1586,theory(equality)]) ).

cnf(1588,negated_conjecture,
    ( hskp26
    | hskp6
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[204,1495,theory(equality)]) ).

cnf(1589,negated_conjecture,
    ( hskp26
    | hskp6
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1588,theory(equality)]) ).

cnf(1590,negated_conjecture,
    ( hskp23
    | hskp6
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[206,1495,theory(equality)]) ).

cnf(1591,negated_conjecture,
    ( hskp23
    | hskp6
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1590,theory(equality)]) ).

cnf(1592,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[177,1495,theory(equality)]) ).

cnf(1593,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1592,theory(equality)]) ).

cnf(1594,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[174,1495,theory(equality)]) ).

cnf(1595,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1594,theory(equality)]) ).

cnf(1596,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[199,1495,theory(equality)]) ).

cnf(1597,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1596,theory(equality)]) ).

cnf(1598,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,1495,theory(equality)]) ).

cnf(1599,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1598,theory(equality)]) ).

cnf(1600,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[165,1495,theory(equality)]) ).

cnf(1601,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1600,theory(equality)]) ).

cnf(1602,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[164,1495,theory(equality)]) ).

cnf(1603,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1602,theory(equality)]) ).

cnf(1604,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[191,1495,theory(equality)]) ).

cnf(1605,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1604,theory(equality)]) ).

cnf(1606,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[185,1495,theory(equality)]) ).

cnf(1607,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1606,theory(equality)]) ).

cnf(1608,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[153,1495,theory(equality)]) ).

cnf(1609,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1608,theory(equality)]) ).

cnf(1610,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[156,1495,theory(equality)]) ).

cnf(1611,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1610,theory(equality)]) ).

cnf(1612,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[152,1495,theory(equality)]) ).

cnf(1613,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1612,theory(equality)]) ).

cnf(1614,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[182,1495,theory(equality)]) ).

cnf(1615,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1614,theory(equality)]) ).

cnf(1616,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[196,1495,theory(equality)]) ).

cnf(1617,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1616,theory(equality)]) ).

cnf(1618,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[197,1495,theory(equality)]) ).

cnf(1619,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1618,theory(equality)]) ).

cnf(1620,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[198,1495,theory(equality)]) ).

cnf(1621,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1620,theory(equality)]) ).

cnf(1622,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[163,1495,theory(equality)]) ).

cnf(1623,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1622,theory(equality)]) ).

cnf(1624,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c3_1(X1)
    | hskp0
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[190,1495,theory(equality)]) ).

cnf(1625,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c3_1(X1)
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1624,theory(equality)]) ).

cnf(1626,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[148,1495,theory(equality)]) ).

cnf(1627,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[1626,theory(equality)]) ).

cnf(1628,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[160,1495,theory(equality)]) ).

cnf(1629,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[1628,theory(equality)]) ).

cnf(1630,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[159,1495,theory(equality)]) ).

cnf(1631,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[1630,theory(equality)]) ).

cnf(1632,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,1495,theory(equality)]) ).

cnf(1633,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1632,theory(equality)]) ).

cnf(1634,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[157,1495,theory(equality)]) ).

cnf(1635,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1634,theory(equality)]) ).

cnf(1671,negated_conjecture,
    ( hskp15
    | c0_1(a2417)
    | ~ c2_1(a2417)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1633,92,theory(equality)]) ).

cnf(1673,negated_conjecture,
    ( hskp15
    | c0_1(a2427)
    | ~ c2_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1633,71,theory(equality)]) ).

cnf(1674,negated_conjecture,
    ( hskp15
    | c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1633,63,theory(equality)]) ).

cnf(1676,negated_conjecture,
    ( hskp15
    | c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1633,47,theory(equality)]) ).

cnf(1677,negated_conjecture,
    ( hskp15
    | c0_1(a2406)
    | ~ c2_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1633,26,theory(equality)]) ).

cnf(1680,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2402)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(a2402)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1497,140,theory(equality)]) ).

cnf(1681,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(a2405)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1497,128,theory(equality)]) ).

cnf(1685,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2414)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(a2414)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1497,100,theory(equality)]) ).

cnf(1687,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2437)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(a2437)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1497,56,theory(equality)]) ).

cnf(1689,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(a2409)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1497,24,theory(equality)]) ).

cnf(1698,negated_conjecture,
    ( hskp15
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[1671,91]) ).

cnf(1699,negated_conjecture,
    ( hskp15
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1673,72]) ).

cnf(1700,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | hskp15
    | ~ c2_1(X2)
    | ~ c2_1(a2427)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1497,1699,theory(equality)]) ).

cnf(1701,negated_conjecture,
    ( hskp15
    | ~ hskp19
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[1674,62]) ).

cnf(1706,negated_conjecture,
    ( hskp12
    | c1_1(a2416)
    | c0_1(a2416)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1635,96,theory(equality)]) ).

cnf(1709,negated_conjecture,
    ( hskp12
    | c1_1(a2427)
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1635,71,theory(equality)]) ).

cnf(1711,negated_conjecture,
    ( hskp12
    | c1_1(a2435)
    | c0_1(a2435)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1635,60,theory(equality)]) ).

cnf(1712,negated_conjecture,
    ( hskp12
    | c1_1(a2455)
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1635,47,theory(equality)]) ).

cnf(1717,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2408)
    | ~ c3_1(X2)
    | ~ c0_1(a2408)
    | ~ c0_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1499,119,theory(equality)]) ).

cnf(1720,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2422)
    | ~ c3_1(X2)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1499,79,theory(equality)]) ).

cnf(1725,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2406)
    | ~ c3_1(X2)
    | ~ c0_1(a2406)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1499,26,theory(equality)]) ).

cnf(1726,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2409)
    | ~ c3_1(X2)
    | ~ c0_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1499,22,theory(equality)]) ).

cnf(1727,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2450)
    | ~ c3_1(X2)
    | ~ c0_1(a2450)
    | ~ c0_1(X1)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1499,18,theory(equality)]) ).

cnf(1728,negated_conjecture,
    ( hskp15
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1676,48]) ).

cnf(1729,negated_conjecture,
    ( hskp15
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1728,46]) ).

cnf(1730,negated_conjecture,
    ( hskp15
    | c0_1(a2406)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1677,27]) ).

cnf(1740,negated_conjecture,
    ( hskp12
    | c0_1(a2416)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[1706,95]) ).

cnf(1742,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(a2402)
    | ~ c0_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1563,139,theory(equality)]) ).

cnf(1747,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(a2427)
    | ~ c0_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1563,71,theory(equality)]) ).

cnf(1751,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(a2406)
    | ~ c0_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1563,26,theory(equality)]) ).

cnf(1752,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(a2409)
    | ~ c0_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1563,22,theory(equality)]) ).

cnf(1753,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(a2450)
    | ~ c0_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1563,18,theory(equality)]) ).

cnf(1764,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1501,22,theory(equality)]) ).

cnf(1776,negated_conjecture,
    ( hskp12
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1709,70]) ).

cnf(1777,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | hskp12
    | ~ c2_1(X2)
    | ~ c2_1(a2427)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1497,1776,theory(equality)]) ).

cnf(1778,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1777,72]) ).

cnf(1779,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1778,70]) ).

cnf(1785,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(a2427)
    | ~ c1_1(X1)
    | ~ c0_1(a2427) ),
    inference(spm,[status(thm)],[1779,71,theory(equality)]) ).

cnf(1794,negated_conjecture,
    ( hskp12
    | c1_1(a2435)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1711,59]) ).

cnf(1795,negated_conjecture,
    ( hskp12
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1712,46]) ).

cnf(1797,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(a2408)
    | ~ c0_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1565,119,theory(equality)]) ).

cnf(1800,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(a2422)
    | ~ c0_1(a2422)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1565,79,theory(equality)]) ).

cnf(1805,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(a2406)
    | ~ c0_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1565,26,theory(equality)]) ).

cnf(1806,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(a2409)
    | ~ c0_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1565,22,theory(equality)]) ).

cnf(1807,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(a2450)
    | ~ c0_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1565,18,theory(equality)]) ).

cnf(1811,negated_conjecture,
    ( c2_1(a2408)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(a2408)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1503,120,theory(equality)]) ).

cnf(1812,negated_conjecture,
    ( c2_1(a2410)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(a2410)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1503,116,theory(equality)]) ).

cnf(1818,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(a2450)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1503,20,theory(equality)]) ).

cnf(1824,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(a2427)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1785,1776]) ).

cnf(1825,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1824,72]) ).

cnf(1826,negated_conjecture,
    ( hskp12
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp17
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,1825,theory(equality)]) ).

cnf(1832,negated_conjecture,
    ( hskp12
    | c2_1(a2425)
    | ~ hskp16
    | ~ hskp17
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,1825,theory(equality)]) ).

cnf(1833,negated_conjecture,
    ( hskp12
    | c2_1(a2428)
    | ~ hskp18
    | ~ hskp17
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[66,1825,theory(equality)]) ).

cnf(1834,negated_conjecture,
    ( hskp12
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp17
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,1825,theory(equality)]) ).

cnf(1836,negated_conjecture,
    ( hskp12
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp17
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,1825,theory(equality)]) ).

cnf(1844,negated_conjecture,
    ( hskp12
    | c2_1(a2403)
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1826,136]) ).

cnf(1845,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1844,135]) ).

cnf(1867,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1567,26,theory(equality)]) ).

cnf(1868,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1567,22,theory(equality)]) ).

cnf(1869,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ c2_1(a2450)
    | ~ c1_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1567,18,theory(equality)]) ).

cnf(1877,negated_conjecture,
    ( c2_1(a2432)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2432)
    | ~ c1_1(X2)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1505,63,theory(equality)]) ).

cnf(1878,negated_conjecture,
    ( c2_1(a2435)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2435)
    | ~ c1_1(X2)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1505,60,theory(equality)]) ).

cnf(1893,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[1832,75]) ).

cnf(1894,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1742,140]) ).

cnf(1909,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a2484)
    | ~ c1_1(a2484)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1569,36,theory(equality)]) ).

cnf(1910,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1569,24,theory(equality)]) ).

cnf(1912,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a2498)
    | ~ c1_1(a2498)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1569,16,theory(equality)]) ).

cnf(1914,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp15
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1569,1730,theory(equality)]) ).

cnf(1923,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ c3_1(X2)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1507,63,theory(equality)]) ).

cnf(1925,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(a2455)
    | ~ c1_1(a2455)
    | ~ c3_1(X2)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1507,47,theory(equality)]) ).

cnf(1926,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ c3_1(X2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1507,26,theory(equality)]) ).

cnf(1927,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ c3_1(X2)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1507,22,theory(equality)]) ).

cnf(1928,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(a2450)
    | ~ c1_1(a2450)
    | ~ c3_1(X2)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1507,18,theory(equality)]) ).

cnf(1930,negated_conjecture,
    ( hskp12
    | ~ hskp18
    | ~ hskp17
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[1833,67]) ).

cnf(1931,negated_conjecture,
    ( hskp12
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1834,44]) ).

cnf(1935,negated_conjecture,
    ( hskp12
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1836,35]) ).

cnf(1942,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp17
    | ~ c0_1(a2427) ),
    inference(csr,[status(thm)],[1747,72]) ).

cnf(1943,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp15
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1942,1699,theory(equality)]) ).

cnf(1944,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1942,1776,theory(equality)]) ).

cnf(1951,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1571,63,theory(equality)]) ).

cnf(1954,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1571,26,theory(equality)]) ).

cnf(1955,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1571,22,theory(equality)]) ).

cnf(1991,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2408)
    | ~ c1_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1573,120,theory(equality)]) ).

cnf(1992,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2410)
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1573,116,theory(equality)]) ).

cnf(1994,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2425)
    | ~ c1_1(a2425)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1573,76,theory(equality)]) ).

cnf(1996,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2484)
    | ~ c1_1(a2484)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1573,36,theory(equality)]) ).

cnf(1998,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2450)
    | ~ c1_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1573,20,theory(equality)]) ).

cnf(2008,negated_conjecture,
    ( c2_1(a2422)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c1_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1511,79,theory(equality)]) ).

cnf(2015,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c1_1(a2450)
    | ~ c0_1(X1)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1511,18,theory(equality)]) ).

cnf(2045,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp28
    | ~ c0_1(a2406) ),
    inference(csr,[status(thm)],[1751,27]) ).

cnf(2047,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp29
    | ~ c2_1(a2409) ),
    inference(csr,[status(thm)],[1752,24]) ).

cnf(2048,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2047,23]) ).

cnf(2053,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2422)
    | ~ c1_1(a2422)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1575,79,theory(equality)]) ).

cnf(2055,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2432)
    | ~ c1_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1575,63,theory(equality)]) ).

cnf(2056,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2435)
    | ~ c1_1(a2435)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1575,60,theory(equality)]) ).

cnf(2057,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1575,47,theory(equality)]) ).

cnf(2058,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1575,26,theory(equality)]) ).

cnf(2063,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(a2405)
    | ~ c2_1(X2)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1513,128,theory(equality)]) ).

cnf(2067,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2414)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(a2414)
    | ~ c2_1(X2)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1513,100,theory(equality)]) ).

cnf(2069,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2437)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(a2437)
    | ~ c2_1(X2)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1513,56,theory(equality)]) ).

cnf(2094,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp30
    | ~ c2_1(a2450) ),
    inference(csr,[status(thm)],[1753,20]) ).

cnf(2098,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[1797,120]) ).

cnf(2099,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a2402)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1577,139,theory(equality)]) ).

cnf(2104,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a2427)
    | ~ c2_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1577,71,theory(equality)]) ).

cnf(2109,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1577,22,theory(equality)]) ).

cnf(2113,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c2_1(a2405)
    | ~ c2_1(X1)
    | ~ c1_1(a2405)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1515,128,theory(equality)]) ).

cnf(2120,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c2_1(a2484)
    | ~ c2_1(X1)
    | ~ c1_1(a2484)
    | ~ c0_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1515,36,theory(equality)]) ).

cnf(2121,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c2_1(a2409)
    | ~ c2_1(X1)
    | ~ c1_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1515,24,theory(equality)]) ).

cnf(2149,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[1800,80]) ).

cnf(2150,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2402)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1579,139,theory(equality)]) ).

cnf(2153,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2417)
    | ~ c2_1(a2417)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1579,92,theory(equality)]) ).

cnf(2155,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2427)
    | ~ c2_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1579,71,theory(equality)]) ).

cnf(2158,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1579,47,theory(equality)]) ).

cnf(2160,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1579,22,theory(equality)]) ).

cnf(2169,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1517,63,theory(equality)]) ).

cnf(2171,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(a2455)
    | ~ c1_1(a2455)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1517,47,theory(equality)]) ).

cnf(2172,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1517,26,theory(equality)]) ).

cnf(2173,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1517,22,theory(equality)]) ).

cnf(2201,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp13
    | ~ c2_1(a2418)
    | ~ c1_1(a2418) ),
    inference(spm,[status(thm)],[86,1581,theory(equality)]) ).

cnf(2203,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,1581,theory(equality)]) ).

cnf(2206,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp23
    | ~ c2_1(a2455)
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[46,1581,theory(equality)]) ).

cnf(2207,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp24
    | ~ c2_1(a2468)
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[43,1581,theory(equality)]) ).

cnf(2208,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp25
    | ~ c2_1(a2478)
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[39,1581,theory(equality)]) ).

cnf(2212,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp12
    | hskp11
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1569,1581,theory(equality)]) ).

cnf(2218,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | hskp12
    | hskp11
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1515,1581,theory(equality)]) ).

cnf(2221,negated_conjecture,
    ( hskp30
    | c2_1(a2408)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(a2408)
    | ~ c0_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1519,119,theory(equality)]) ).

cnf(2224,negated_conjecture,
    ( hskp30
    | c2_1(a2422)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1519,79,theory(equality)]) ).

cnf(2226,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(a2432)
    | ~ c0_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1519,63,theory(equality)]) ).

cnf(2227,negated_conjecture,
    ( hskp30
    | c2_1(a2435)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(a2435)
    | ~ c0_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1519,60,theory(equality)]) ).

cnf(2239,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp13
    | ~ c2_1(a2418) ),
    inference(csr,[status(thm)],[2201,88]) ).

cnf(2240,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2239,87]) ).

cnf(2244,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp28
    | ~ c0_1(a2406) ),
    inference(csr,[status(thm)],[1805,28]) ).

cnf(2245,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp15
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2244,1730,theory(equality)]) ).

cnf(2246,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp12
    | hskp11
    | ~ hskp28
    | ~ c2_1(a2406)
    | ~ c1_1(a2406) ),
    inference(spm,[status(thm)],[2244,1581,theory(equality)]) ).

cnf(2247,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2245,1729]) ).

cnf(2248,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[1806,24]) ).

cnf(2252,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(a2417)
    | ~ c2_1(a2417)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1583,92,theory(equality)]) ).

cnf(2254,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(a2427)
    | ~ c2_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1583,71,theory(equality)]) ).

cnf(2255,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1583,63,theory(equality)]) ).

cnf(2257,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1583,47,theory(equality)]) ).

cnf(2266,negated_conjecture,
    ( hskp20
    | c2_1(a2422)
    | c0_1(X1)
    | ~ c1_1(a2422)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1521,79,theory(equality)]) ).

cnf(2268,negated_conjecture,
    ( hskp20
    | c2_1(a2432)
    | c0_1(X1)
    | ~ c1_1(a2432)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1521,63,theory(equality)]) ).

cnf(2275,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp19
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[2203,64]) ).

cnf(2282,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp23
    | ~ c2_1(a2455) ),
    inference(csr,[status(thm)],[2206,1795]) ).

cnf(2283,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2282,48]) ).

cnf(2284,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp30
    | ~ c1_1(a2450) ),
    inference(csr,[status(thm)],[1807,20]) ).

cnf(2285,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2284,19]) ).

cnf(2286,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1729,2285,theory(equality)]) ).

cnf(2287,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2283,2285,theory(equality)]) ).

cnf(2292,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(a2410)
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1585,116,theory(equality)]) ).

cnf(2296,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(a2484)
    | ~ c1_1(a2484)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1585,36,theory(equality)]) ).

cnf(2306,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2405)
    | ~ c1_1(a2405)
    | ~ c1_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1523,128,theory(equality)]) ).

cnf(2313,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2484)
    | ~ c1_1(a2484)
    | ~ c1_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1523,36,theory(equality)]) ).

cnf(2314,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1523,24,theory(equality)]) ).

cnf(2316,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2498)
    | ~ c1_1(a2498)
    | ~ c1_1(X1)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1523,16,theory(equality)]) ).

cnf(2318,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ c1_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1523,1730,theory(equality)]) ).

cnf(2321,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | hskp12
    | hskp11
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1523,1581,theory(equality)]) ).

cnf(2322,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp24
    | ~ c2_1(a2468) ),
    inference(csr,[status(thm)],[2207,44]) ).

cnf(2323,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp24
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2322,1931,theory(equality)]) ).

cnf(2324,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[2208,40]) ).

cnf(2342,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(a2432)
    | ~ c1_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1587,63,theory(equality)]) ).

cnf(2344,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1587,47,theory(equality)]) ).

cnf(2345,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1587,26,theory(equality)]) ).

cnf(2350,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(a2408)
    | ~ c3_1(X1)
    | ~ c0_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1525,119,theory(equality)]) ).

cnf(2353,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(a2422)
    | ~ c3_1(X1)
    | ~ c0_1(a2422)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1525,79,theory(equality)]) ).

cnf(2359,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(a2409)
    | ~ c3_1(X1)
    | ~ c0_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1525,22,theory(equality)]) ).

cnf(2360,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(a2450)
    | ~ c3_1(X1)
    | ~ c0_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1525,18,theory(equality)]) ).

cnf(2388,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp1
    | ~ c1_1(a2403)
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,1589,theory(equality)]) ).

cnf(2390,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,1589,theory(equality)]) ).

cnf(2393,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp14
    | ~ c1_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,1589,theory(equality)]) ).

cnf(2394,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp16
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,1589,theory(equality)]) ).

cnf(2405,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp26
    | hskp6
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1565,1589,theory(equality)]) ).

cnf(2420,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | hskp26
    | hskp6
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[1525,1589,theory(equality)]) ).

cnf(2425,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(a2422)
    | ~ c2_1(X1)
    | ~ c1_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1527,79,theory(equality)]) ).

cnf(2427,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(a2432)
    | ~ c2_1(X1)
    | ~ c1_1(a2432)
    | ~ c0_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1527,63,theory(equality)]) ).

cnf(2428,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(a2435)
    | ~ c2_1(X1)
    | ~ c1_1(a2435)
    | ~ c0_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1527,60,theory(equality)]) ).

cnf(2429,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(a2455)
    | ~ c2_1(X1)
    | ~ c1_1(a2455)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1527,47,theory(equality)]) ).

cnf(2435,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[2388,136]) ).

cnf(2440,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[2390,128]) ).

cnf(2447,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[1867,28]) ).

cnf(2448,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2447,27]) ).

cnf(2449,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[1868,23]) ).

cnf(2452,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp3
    | ~ c2_1(a2405)
    | ~ c1_1(a2405) ),
    inference(spm,[status(thm)],[126,1591,theory(equality)]) ).

cnf(2455,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp14
    | ~ c2_1(a2420)
    | ~ c1_1(a2420) ),
    inference(spm,[status(thm)],[82,1591,theory(equality)]) ).

cnf(2458,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp24
    | ~ c2_1(a2468)
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,1591,theory(equality)]) ).

cnf(2459,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp25
    | ~ c2_1(a2478)
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[38,1591,theory(equality)]) ).

cnf(2460,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,1591,theory(equality)]) ).

cnf(2462,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | hskp23
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1633,1591,theory(equality)]) ).

cnf(2467,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1565,1591,theory(equality)]) ).

cnf(2471,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp23
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1571,1591,theory(equality)]) ).

cnf(2479,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(X1)
    | hskp23
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1583,1591,theory(equality)]) ).

cnf(2484,negated_conjecture,
    ( hskp2
    | c1_1(a2402)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1529,139,theory(equality)]) ).

cnf(2487,negated_conjecture,
    ( hskp2
    | c1_1(a2417)
    | c0_1(X1)
    | ~ c2_1(a2417)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1529,92,theory(equality)]) ).

cnf(2489,negated_conjecture,
    ( hskp2
    | c1_1(a2427)
    | c0_1(X1)
    | ~ c2_1(a2427)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1529,71,theory(equality)]) ).

cnf(2492,negated_conjecture,
    ( hskp2
    | c1_1(a2455)
    | c0_1(X1)
    | ~ c2_1(a2455)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1529,47,theory(equality)]) ).

cnf(2494,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | c0_1(X1)
    | ~ c2_1(a2409)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1529,22,theory(equality)]) ).

cnf(2502,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[2393,84]) ).

cnf(2504,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[2394,76]) ).

cnf(2508,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp30
    | ~ c2_1(a2450) ),
    inference(csr,[status(thm)],[1869,19]) ).

cnf(2521,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1593,63,theory(equality)]) ).

cnf(2523,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1593,47,theory(equality)]) ).

cnf(2529,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(X1)
    | hskp23
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1593,1591,theory(equality)]) ).

cnf(2530,negated_conjecture,
    ( hskp29
    | c1_1(a2402)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1531,139,theory(equality)]) ).

cnf(2531,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1531,119,theory(equality)]) ).

cnf(2532,negated_conjecture,
    ( hskp29
    | c1_1(a2416)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a2416)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1531,96,theory(equality)]) ).

cnf(2570,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2422)
    | ~ c1_1(a2422)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1595,79,theory(equality)]) ).

cnf(2572,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2432)
    | ~ c1_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1595,63,theory(equality)]) ).

cnf(2573,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2435)
    | ~ c1_1(a2435)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1595,60,theory(equality)]) ).

cnf(2574,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1595,47,theory(equality)]) ).

cnf(2575,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1595,26,theory(equality)]) ).

cnf(2584,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2418)
    | ~ c1_1(a2418)
    | ~ c0_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1533,87,theory(equality)]) ).

cnf(2585,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ c0_1(X1)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1533,83,theory(equality)]) ).

cnf(2588,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1533,48,theory(equality)]) ).

cnf(2589,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2478)
    | ~ c1_1(a2478)
    | ~ c0_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1533,40,theory(equality)]) ).

cnf(2590,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2406)
    | ~ c1_1(a2406)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1533,27,theory(equality)]) ).

cnf(2598,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[2452,127]) ).

cnf(2611,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp26
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[1909,35]) ).

cnf(2617,negated_conjecture,
    ( hskp5
    | c2_1(a2410)
    | hskp1
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1597,116,theory(equality)]) ).

cnf(2621,negated_conjecture,
    ( hskp5
    | c2_1(a2484)
    | hskp1
    | ~ c1_1(a2484)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1597,36,theory(equality)]) ).

cnf(2623,negated_conjecture,
    ( hskp5
    | c2_1(a2450)
    | hskp1
    | ~ c1_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1597,20,theory(equality)]) ).

cnf(2630,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | c3_1(X1)
    | c3_1(a2405)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1535,127,theory(equality)]) ).

cnf(2631,negated_conjecture,
    ( hskp14
    | c1_1(a2411)
    | c3_1(X1)
    | c3_1(a2411)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1535,112,theory(equality)]) ).

cnf(2638,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | c3_1(X1)
    | c3_1(a2478)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1535,40,theory(equality)]) ).

cnf(2645,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp14
    | ~ c2_1(a2420) ),
    inference(csr,[status(thm)],[2455,84]) ).

cnf(2646,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2645,83]) ).

cnf(2647,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1729,2646,theory(equality)]) ).

cnf(2648,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2283,2646,theory(equality)]) ).

cnf(2649,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2647,2286,theory(equality)]) ).

cnf(2652,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2648,2287,theory(equality)]) ).

cnf(2653,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2402)
    | c1_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1599,140,theory(equality)]) ).

cnf(2655,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2407)
    | c1_1(a2407)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1599,124,theory(equality)]) ).

cnf(2656,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2408)
    | c1_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1599,120,theory(equality)]) ).

cnf(2658,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2414)
    | c1_1(a2414)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1599,100,theory(equality)]) ).

cnf(2659,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2425)
    | c1_1(a2425)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1599,76,theory(equality)]) ).

cnf(2667,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2416)
    | c1_1(a2416)
    | hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1599,1740,theory(equality)]) ).

cnf(2673,negated_conjecture,
    ( hskp10
    | c1_1(a2417)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2417)
    | ~ c3_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1537,92,theory(equality)]) ).

cnf(2675,negated_conjecture,
    ( hskp10
    | c1_1(a2427)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2427)
    | ~ c3_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1537,71,theory(equality)]) ).

cnf(2678,negated_conjecture,
    ( hskp10
    | c1_1(a2455)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2455)
    | ~ c3_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1537,47,theory(equality)]) ).

cnf(2680,negated_conjecture,
    ( hskp10
    | c1_1(a2409)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2409)
    | ~ c3_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1537,22,theory(equality)]) ).

cnf(2694,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[1910,23]) ).

cnf(2696,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp31
    | ~ c2_1(a2498) ),
    inference(csr,[status(thm)],[1912,15]) ).

cnf(2697,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp31 ),
    inference(csr,[status(thm)],[2696,14]) ).

cnf(2698,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp27
    | hskp25 ),
    inference(spm,[status(thm)],[2697,13,theory(equality)]) ).

cnf(2699,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2412)
    | ~ hskp8
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,1601,theory(equality)]) ).

cnf(2704,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2432)
    | ~ hskp19
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,1601,theory(equality)]) ).

cnf(2705,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2435)
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,1601,theory(equality)]) ).

cnf(2708,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2468)
    | ~ hskp24
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[43,1601,theory(equality)]) ).

cnf(2715,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(X1)
    | hskp18
    | hskp17
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1573,1601,theory(equality)]) ).

cnf(2720,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp18
    | hskp17
    | c2_1(a2422)
    | ~ hskp15
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[2149,1601,theory(equality)]) ).

cnf(2724,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp18
    | hskp17
    | c2_1(a2403)
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[2435,1601,theory(equality)]) ).

cnf(2731,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | ~ c2_1(a2417)
    | ~ c2_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1539,92,theory(equality)]) ).

cnf(2734,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(a2432)
    | c0_1(X1)
    | ~ c2_1(a2432)
    | ~ c2_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1539,63,theory(equality)]) ).

cnf(2736,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(a2455)
    | c0_1(X1)
    | ~ c2_1(a2455)
    | ~ c2_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1539,47,theory(equality)]) ).

cnf(2743,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp24
    | ~ c2_1(a2468) ),
    inference(csr,[status(thm)],[2458,44]) ).

cnf(2746,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[2459,40]) ).

cnf(2753,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2412)
    | ~ hskp8
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,1603,theory(equality)]) ).

cnf(2757,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2428)
    | ~ hskp18
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[68,1603,theory(equality)]) ).

cnf(2758,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2432)
    | ~ hskp19
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,1603,theory(equality)]) ).

cnf(2759,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2435)
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,1603,theory(equality)]) ).

cnf(2762,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2468)
    | ~ hskp24
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[43,1603,theory(equality)]) ).

cnf(2769,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(X1)
    | hskp16
    | hskp13
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1573,1603,theory(equality)]) ).

cnf(2778,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp16
    | hskp13
    | c2_1(a2403)
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[2435,1603,theory(equality)]) ).

cnf(2786,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2422)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2422)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1541,79,theory(equality)]) ).

cnf(2788,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2432)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1541,63,theory(equality)]) ).

cnf(2789,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2435)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2435)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1541,60,theory(equality)]) ).

cnf(2790,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2455)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1541,47,theory(equality)]) ).

cnf(2797,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp26
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[2460,35]) ).

cnf(2802,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2412)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2699,108]) ).

cnf(2803,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2802,106]) ).

cnf(2804,negated_conjecture,
    ( hskp12
    | hskp18
    | ~ hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1845,2803,theory(equality)]) ).

cnf(2805,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1944,2803,theory(equality)]) ).

cnf(2815,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2405)
    | ~ hskp3
    | ~ c2_1(a2405) ),
    inference(spm,[status(thm)],[126,1605,theory(equality)]) ).

cnf(2816,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2411)
    | ~ hskp7
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[110,1605,theory(equality)]) ).

cnf(2817,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2414)
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(spm,[status(thm)],[98,1605,theory(equality)]) ).

cnf(2822,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2478)
    | ~ hskp25
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[38,1605,theory(equality)]) ).

cnf(2826,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c0_1(X1)
    | hskp16
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1635,1605,theory(equality)]) ).

cnf(2854,negated_conjecture,
    ( hskp3
    | c1_1(a2402)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1543,140,theory(equality)]) ).

cnf(2859,negated_conjecture,
    ( hskp3
    | c1_1(a2414)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2414)
    | ~ c2_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1543,100,theory(equality)]) ).

cnf(2861,negated_conjecture,
    ( hskp3
    | c1_1(a2437)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2437)
    | ~ c2_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1543,56,theory(equality)]) ).

cnf(2863,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2409)
    | ~ c2_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1543,24,theory(equality)]) ).

cnf(2884,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2402)
    | c1_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1607,139,theory(equality)]) ).

cnf(2885,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2408)
    | c1_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1607,119,theory(equality)]) ).

cnf(2886,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2416)
    | c1_1(a2416)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1607,96,theory(equality)]) ).

cnf(2887,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2417)
    | c1_1(a2417)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1607,92,theory(equality)]) ).

cnf(2891,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2435)
    | c1_1(a2435)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1607,60,theory(equality)]) ).

cnf(2904,negated_conjecture,
    ( hskp2
    | c2_1(a2410)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1545,116,theory(equality)]) ).

cnf(2906,negated_conjecture,
    ( hskp2
    | c2_1(a2425)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2425)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1545,76,theory(equality)]) ).

cnf(2917,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp18
    | hskp17
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1545,1601,theory(equality)]) ).

cnf(2927,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp19
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[1951,64]) ).

cnf(2941,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(a2455)
    | ~ hskp23
    | ~ c2_1(a2455) ),
    inference(spm,[status(thm)],[46,1609,theory(equality)]) ).

cnf(2943,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(a2478)
    | ~ hskp25
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[39,1609,theory(equality)]) ).

cnf(2995,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[1954,28]) ).

cnf(2996,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2995,27]) ).

cnf(2997,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[1955,23]) ).

cnf(3002,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(a2417)
    | c0_1(a2417)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1611,92,theory(equality)]) ).

cnf(3007,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(a2455)
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1611,47,theory(equality)]) ).

cnf(3018,negated_conjecture,
    ( hskp2
    | c2_1(a2417)
    | c3_1(X1)
    | c0_1(a2417)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1549,92,theory(equality)]) ).

cnf(3021,negated_conjecture,
    ( hskp2
    | c2_1(a2432)
    | c3_1(X1)
    | c0_1(a2432)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1549,63,theory(equality)]) ).

cnf(3022,negated_conjecture,
    ( hskp2
    | c2_1(a2435)
    | c3_1(X1)
    | c0_1(a2435)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1549,60,theory(equality)]) ).

cnf(3050,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,1613,theory(equality)]) ).

cnf(3057,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(a2455)
    | ~ hskp23
    | ~ c2_1(a2455) ),
    inference(spm,[status(thm)],[46,1613,theory(equality)]) ).

cnf(3059,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(a2478)
    | ~ hskp25
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[39,1613,theory(equality)]) ).

cnf(3081,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2402)
    | c1_1(X1)
    | ~ c2_1(a2402)
    | ~ c3_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1551,139,theory(equality)]) ).

cnf(3084,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2417)
    | c1_1(X1)
    | ~ c2_1(a2417)
    | ~ c3_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1551,92,theory(equality)]) ).

cnf(3086,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2427)
    | c1_1(X1)
    | ~ c2_1(a2427)
    | ~ c3_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1551,71,theory(equality)]) ).

cnf(3089,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2455)
    | c1_1(X1)
    | ~ c2_1(a2455)
    | ~ c3_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1551,47,theory(equality)]) ).

cnf(3091,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X1)
    | ~ c2_1(a2409)
    | ~ c3_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1551,22,theory(equality)]) ).

cnf(3105,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2408)
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[1991,9]) ).

cnf(3106,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(spm,[status(thm)],[118,3105,theory(equality)]) ).

cnf(3109,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[3106,9]) ).

cnf(3110,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2410)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[1992,115]) ).

cnf(3111,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3110,114]) ).

cnf(3112,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(a2402)
    | c1_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1615,140,theory(equality)]) ).

cnf(3114,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(a2407)
    | c1_1(a2407)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1615,124,theory(equality)]) ).

cnf(3126,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(a2416)
    | c1_1(a2416)
    | hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1615,1740,theory(equality)]) ).

cnf(3133,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c2_1(a2402)
    | c1_1(a2402)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1553,139,theory(equality)]) ).

cnf(3135,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c2_1(a2416)
    | c1_1(a2416)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1553,96,theory(equality)]) ).

cnf(3136,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c2_1(a2417)
    | c1_1(a2417)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1553,92,theory(equality)]) ).

cnf(3140,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c2_1(a2435)
    | c1_1(a2435)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1553,60,theory(equality)]) ).

cnf(3152,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2704,64]) ).

cnf(3153,negated_conjecture,
    ( hskp15
    | hskp18
    | hskp17
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1701,3152,theory(equality)]) ).

cnf(3154,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp18
    | hskp17
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2275,3152,theory(equality)]) ).

cnf(3164,negated_conjecture,
    ( hskp12
    | hskp18
    | hskp11
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1845,3154,theory(equality)]) ).

cnf(3165,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1944,3154,theory(equality)]) ).

cnf(3176,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2403)
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,1617,theory(equality)]) ).

cnf(3180,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2414)
    | ~ hskp10
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,1617,theory(equality)]) ).

cnf(3182,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2425)
    | ~ hskp16
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,1617,theory(equality)]) ).

cnf(3186,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2484)
    | ~ hskp26
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,1617,theory(equality)]) ).

cnf(3224,negated_conjecture,
    ( hskp10
    | c2_1(a2407)
    | c1_1(X1)
    | c1_1(a2407)
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1555,124,theory(equality)]) ).

cnf(3228,negated_conjecture,
    ( hskp10
    | c2_1(a2425)
    | c1_1(X1)
    | c1_1(a2425)
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1555,76,theory(equality)]) ).

cnf(3249,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[1994,75]) ).

cnf(3253,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2403)
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,1619,theory(equality)]) ).

cnf(3259,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2425)
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,1619,theory(equality)]) ).

cnf(3261,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2468)
    | ~ hskp24
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,1619,theory(equality)]) ).

cnf(3263,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2484)
    | ~ hskp26
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,1619,theory(equality)]) ).

cnf(3270,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp30
    | hskp2
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1565,1619,theory(equality)]) ).

cnf(3299,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | c1_1(a2402)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1557,139,theory(equality)]) ).

cnf(3300,negated_conjecture,
    ( hskp4
    | c2_1(a2408)
    | c1_1(a2408)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1557,119,theory(equality)]) ).

cnf(3301,negated_conjecture,
    ( hskp4
    | c2_1(a2416)
    | c1_1(a2416)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1557,96,theory(equality)]) ).

cnf(3302,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1557,92,theory(equality)]) ).

cnf(3306,negated_conjecture,
    ( hskp4
    | c2_1(a2435)
    | c1_1(a2435)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1557,60,theory(equality)]) ).

cnf(3321,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2484)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1996,35]) ).

cnf(3323,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2611,3321,theory(equality)]) ).

cnf(3325,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2797,3321,theory(equality)]) ).

cnf(3328,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp19
    | ~ hskp26 ),
    inference(csr,[status(thm)],[3325,3111]) ).

cnf(3329,negated_conjecture,
    ( hskp15
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1729,3328,theory(equality)]) ).

cnf(3330,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2283,3328,theory(equality)]) ).

cnf(3338,negated_conjecture,
    ( hskp6
    | c2_1(a2425)
    | hskp1
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,1621,theory(equality)]) ).

cnf(3340,negated_conjecture,
    ( hskp6
    | c2_1(a2468)
    | hskp1
    | ~ hskp24
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,1621,theory(equality)]) ).

cnf(3342,negated_conjecture,
    ( hskp6
    | c2_1(a2484)
    | hskp1
    | ~ hskp26
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,1621,theory(equality)]) ).

cnf(3349,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | c2_1(X1)
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1565,1621,theory(equality)]) ).

cnf(3360,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X2)
    | hskp6
    | hskp1
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[1519,1621,theory(equality)]) ).

cnf(3379,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2402)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1559,139,theory(equality)]) ).

cnf(3384,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2427)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1559,71,theory(equality)]) ).

cnf(3389,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1559,22,theory(equality)]) ).

cnf(3399,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp15
    | hskp30 ),
    inference(spm,[status(thm)],[3329,12,theory(equality)]) ).

cnf(3403,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp12
    | hskp11
    | hskp8 ),
    inference(spm,[status(thm)],[3330,11,theory(equality)]) ).

cnf(3404,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp12
    | hskp11
    | hskp30 ),
    inference(spm,[status(thm)],[3330,12,theory(equality)]) ).

cnf(3405,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp25
    | hskp19
    | hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2804,3403,theory(equality)]) ).

cnf(3406,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp25
    | hskp19
    | hskp11 ),
    inference(spm,[status(thm)],[2805,3403,theory(equality)]) ).

cnf(3411,negated_conjecture,
    ( hskp29
    | c2_1(a2412)
    | hskp0
    | ~ hskp8
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,1623,theory(equality)]) ).

cnf(3415,negated_conjecture,
    ( hskp29
    | c2_1(a2428)
    | hskp0
    | ~ hskp18
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[68,1623,theory(equality)]) ).

cnf(3416,negated_conjecture,
    ( hskp29
    | c2_1(a2432)
    | hskp0
    | ~ hskp19
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,1623,theory(equality)]) ).

cnf(3417,negated_conjecture,
    ( hskp29
    | c2_1(a2435)
    | hskp0
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,1623,theory(equality)]) ).

cnf(3420,negated_conjecture,
    ( hskp29
    | c2_1(a2468)
    | hskp0
    | ~ hskp24
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[43,1623,theory(equality)]) ).

cnf(3432,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp29
    | c2_1(a2422)
    | hskp0
    | ~ hskp15
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[2149,1623,theory(equality)]) ).

cnf(3436,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp29
    | c2_1(a2403)
    | hskp0
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[2435,1623,theory(equality)]) ).

cnf(3448,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c1_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1561,92,theory(equality)]) ).

cnf(3452,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2435)
    | c1_1(X1)
    | c0_1(a2435)
    | c0_1(X1)
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1561,60,theory(equality)]) ).

cnf(3453,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c1_1(X1)
    | c0_1(a2455)
    | c0_1(X1)
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1561,47,theory(equality)]) ).

cnf(3460,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | hskp0
    | hskp16
    | hskp12
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[1561,1605,theory(equality)]) ).

cnf(3465,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp18
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[3406,3165]) ).

cnf(3471,negated_conjecture,
    ( hskp25
    | hskp19
    | c2_1(a2450)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1998,19]) ).

cnf(3472,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp25
    | hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2094,3471,theory(equality)]) ).

cnf(3473,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp25
    | hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2508,3471,theory(equality)]) ).

cnf(3478,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp15
    | hskp11 ),
    inference(csr,[status(thm)],[3473,3399]) ).

cnf(3481,negated_conjecture,
    ( hskp9
    | c1_1(a2405)
    | hskp0
    | ~ hskp3
    | ~ c2_1(a2405) ),
    inference(spm,[status(thm)],[126,1625,theory(equality)]) ).

cnf(3482,negated_conjecture,
    ( hskp9
    | c1_1(a2411)
    | hskp0
    | ~ hskp7
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[110,1625,theory(equality)]) ).

cnf(3529,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2404)
    | c0_1(a2404)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[130,1627,theory(equality)]) ).

cnf(3531,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2411)
    | c0_1(a2411)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[110,1627,theory(equality)]) ).

cnf(3535,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2428)
    | c0_1(a2428)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[66,1627,theory(equality)]) ).

cnf(3537,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2478)
    | c0_1(a2478)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[38,1627,theory(equality)]) ).

cnf(3539,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2500)
    | c0_1(a2500)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[30,1627,theory(equality)]) ).

cnf(3540,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | hskp28
    | hskp3
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1633,1627,theory(equality)]) ).

cnf(3541,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c0_1(X1)
    | hskp28
    | hskp3 ),
    inference(spm,[status(thm)],[1635,1627,theory(equality)]) ).

cnf(3577,negated_conjecture,
    ( hskp25
    | hskp18
    | hskp12
    | hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[3405,3164]) ).

cnf(3581,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp3
    | c1_1(a2413)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[103,3541,theory(equality)]) ).

cnf(3590,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp3
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[39,3541,theory(equality)]) ).

cnf(3595,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp28
    | hskp12
    | hskp3
    | c1_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1942,3541,theory(equality)]) ).

cnf(3617,negated_conjecture,
    ( hskp14
    | c2_1(a2404)
    | hskp1
    | c0_1(a2404)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[130,1629,theory(equality)]) ).

cnf(3623,negated_conjecture,
    ( hskp14
    | c2_1(a2428)
    | hskp1
    | c0_1(a2428)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[66,1629,theory(equality)]) ).

cnf(3627,negated_conjecture,
    ( hskp14
    | c2_1(a2500)
    | hskp1
    | c0_1(a2500)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[30,1629,theory(equality)]) ).

cnf(3666,negated_conjecture,
    ( hskp13
    | c2_1(a2404)
    | hskp1
    | c0_1(a2404)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[130,1631,theory(equality)]) ).

cnf(3672,negated_conjecture,
    ( hskp13
    | c2_1(a2428)
    | hskp1
    | c0_1(a2428)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[66,1631,theory(equality)]) ).

cnf(3673,negated_conjecture,
    ( hskp13
    | c2_1(a2468)
    | hskp1
    | c0_1(a2468)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[42,1631,theory(equality)]) ).

cnf(3717,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[3581,102]) ).

cnf(3721,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp12
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2996,3717,theory(equality)]) ).

cnf(3729,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1680,138]) ).

cnf(3730,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2402)
    | ~ c1_1(X1)
    | ~ c0_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3729,139,theory(equality)]) ).

cnf(3768,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp28
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2324,3590,theory(equality)]) ).

cnf(3772,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp12
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2448,3768,theory(equality)]) ).

cnf(3774,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c3_1(X1)
    | ~ hskp3
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1681,127]) ).

cnf(3785,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c3_1(X1)
    | ~ hskp3
    | ~ c2_1(a2409)
    | ~ c1_1(X1)
    | ~ c0_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[3774,22,theory(equality)]) ).

cnf(3838,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2422)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2053,80]) ).

cnf(3846,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp21
    | hskp17
    | ~ hskp15 ),
    inference(spm,[status(thm)],[2149,3838,theory(equality)]) ).

cnf(3885,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2055,64]) ).

cnf(3886,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp19 ),
    inference(csr,[status(thm)],[3885,62]) ).

cnf(3908,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[2056,59]) ).

cnf(3909,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3908,1794,theory(equality)]) ).

cnf(3910,negated_conjecture,
    ( hskp12
    | hskp21
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1845,3909,theory(equality)]) ).

cnf(3919,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1685,99]) ).

cnf(3930,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c2_1(a2409)
    | ~ c1_1(X1)
    | ~ c0_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[3919,22,theory(equality)]) ).

cnf(3954,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[2057,46]) ).

cnf(3955,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[3954,1795,theory(equality)]) ).

cnf(3956,negated_conjecture,
    ( hskp12
    | hskp21
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1845,3955,theory(equality)]) ).

cnf(4008,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(a2406)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2058,28]) ).

cnf(4011,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp21
    | hskp17
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1569,4008,theory(equality)]) ).

cnf(4017,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp21
    | hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2244,4008,theory(equality)]) ).

cnf(4032,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2437)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1687,55]) ).

cnf(4033,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[4032,54]) ).

cnf(4039,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(a2427)
    | ~ c1_1(X1)
    | ~ c0_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4033,71,theory(equality)]) ).

cnf(4044,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(a2409)
    | ~ c1_1(X1)
    | ~ c0_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[4033,22,theory(equality)]) ).

cnf(4045,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ c1_1(X1)
    | ~ c0_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[4033,18,theory(equality)]) ).

cnf(4047,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp6
    | ~ hskp21
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(spm,[status(thm)],[4033,1589,theory(equality)]) ).

cnf(4123,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2099,138]) ).

cnf(4134,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1689,23]) ).

cnf(4145,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2409)
    | ~ c1_1(X1)
    | ~ c0_1(a2409) ),
    inference(spm,[status(thm)],[4134,22,theory(equality)]) ).

cnf(4176,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2104,72]) ).

cnf(4177,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4176,70]) ).

cnf(4178,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp15
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2323,4177,theory(equality)]) ).

cnf(4180,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4178,2803,theory(equality)]) ).

cnf(4242,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(a2427)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1700,1633]) ).

cnf(4243,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[4242,72]) ).

cnf(4244,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[4243,70]) ).

cnf(4250,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(a2427)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[4244,71,theory(equality)]) ).

cnf(4282,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2109,23]) ).

cnf(4283,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp24
    | hskp15
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2248,4282,theory(equality)]) ).

cnf(4284,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp24
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2449,4282,theory(equality)]) ).

cnf(4285,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp15
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2694,4282,theory(equality)]) ).

cnf(4303,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp14
    | ~ hskp29 ),
    inference(csr,[status(thm)],[4283,1729]) ).

cnf(4309,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ hskp5
    | ~ c2_1(X2)
    | ~ c1_1(a2408)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1717,120]) ).

cnf(4315,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp5
    | ~ c2_1(a2427)
    | ~ c1_1(a2408)
    | ~ c0_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4309,71,theory(equality)]) ).

cnf(4356,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2150,138]) ).

cnf(4360,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[2153,90]) ).

cnf(4379,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2155,72]) ).

cnf(4380,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4379,70]) ).

cnf(4384,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp23
    | hskp14
    | ~ hskp15 ),
    inference(spm,[status(thm)],[4380,3846,theory(equality)]) ).

cnf(4385,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[4380,3886,theory(equality)]) ).

cnf(4386,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[4380,3909,theory(equality)]) ).

cnf(4422,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1720,80]) ).

cnf(4423,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2402)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4422,139,theory(equality)]) ).

cnf(4426,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2417)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4422,92,theory(equality)]) ).

cnf(4428,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2427)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4422,71,theory(equality)]) ).

cnf(4431,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2455)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[4422,47,theory(equality)]) ).

cnf(4458,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2158,48]) ).

cnf(4460,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp11
    | ~ hskp23 ),
    inference(spm,[status(thm)],[3954,4458,theory(equality)]) ).

cnf(4479,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp23 ),
    inference(csr,[status(thm)],[4460,4380]) ).

cnf(4481,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[4479,2646,theory(equality)]) ).

cnf(4490,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp14
    | ~ hskp15 ),
    inference(spm,[status(thm)],[4479,4384,theory(equality)]) ).

cnf(4515,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[4481,4490,theory(equality)]) ).

cnf(4518,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp6
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[4515,3478,theory(equality)]) ).

cnf(4521,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp6
    | hskp12
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[4515,3772,theory(equality)]) ).

cnf(4541,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[4518,4385]) ).

cnf(4564,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2160,23]) ).

cnf(4568,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp11
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2997,4564,theory(equality)]) ).

cnf(4584,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ hskp28
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(a2406)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1725,28]) ).

cnf(4590,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp28
    | ~ c2_1(a2427)
    | ~ c0_1(a2406)
    | ~ c0_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4584,71,theory(equality)]) ).

cnf(4625,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(X2)
    | ~ c1_1(a2409)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1726,24]) ).

cnf(4626,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2402)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2402)
    | ~ c1_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4625,139,theory(equality)]) ).

cnf(4629,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2417)
    | ~ c1_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4625,92,theory(equality)]) ).

cnf(4631,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2427)
    | ~ c1_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4625,71,theory(equality)]) ).

cnf(4634,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2455)
    | ~ c1_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[4625,47,theory(equality)]) ).

cnf(4661,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[2252,91]) ).

cnf(4665,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2254,72]) ).

cnf(4669,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp28
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1942,4665,theory(equality)]) ).

cnf(4689,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ hskp30
    | ~ c2_1(X2)
    | ~ c1_1(a2450)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1727,20]) ).

cnf(4690,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ hskp30
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4689,19]) ).

cnf(4694,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | ~ hskp30
    | ~ c2_1(a2417)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4690,92,theory(equality)]) ).

cnf(4696,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp30
    | ~ c2_1(a2427)
    | ~ c0_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4690,71,theory(equality)]) ).

cnf(4726,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp19
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[2255,62]) ).

cnf(4752,negated_conjecture,
    ( hskp28
    | hskp9
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2257,48]) ).

cnf(4753,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp23 ),
    inference(csr,[status(thm)],[4752,46]) ).

cnf(4858,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(a2410)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2292,115]) ).

cnf(4859,negated_conjecture,
    ( hskp25
    | hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[4858,114]) ).

cnf(4884,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(a2484)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2296,35]) ).

cnf(4888,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp25
    | hskp7
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2797,4884,theory(equality)]) ).

cnf(4898,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp7
    | ~ hskp26 ),
    inference(csr,[status(thm)],[4888,4859]) ).

cnf(4970,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp11
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[4521,4541]) ).

cnf(5049,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2342,64]) ).

cnf(5050,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp19 ),
    inference(csr,[status(thm)],[5049,62]) ).

cnf(5058,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1764,23]) ).

cnf(5077,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[2344,46]) ).

cnf(5137,negated_conjecture,
    ( hskp20
    | hskp7
    | c0_1(a2406)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2345,28]) ).

cnf(5143,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp7
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2045,5137,theory(equality)]) ).

cnf(5156,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp7
    | hskp12
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[5143,3717,theory(equality)]) ).

cnf(5161,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp7
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[5143,4669,theory(equality)]) ).

cnf(5172,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[5161,2803,theory(equality)]) ).

cnf(5199,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[5172,8]) ).

cnf(5295,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1811,118]) ).

cnf(5296,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2402)
    | c1_1(a2402)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[5295,140,theory(equality)]) ).

cnf(5298,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2407)
    | c1_1(a2407)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[5295,124,theory(equality)]) ).

cnf(5333,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp19
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[2521,62]) ).

cnf(5341,negated_conjecture,
    ( c2_1(a2410)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1812,115]) ).

cnf(5342,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5341,114]) ).

cnf(5343,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2402)
    | c1_1(a2402)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[5342,140,theory(equality)]) ).

cnf(5345,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2407)
    | c1_1(a2407)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[5342,124,theory(equality)]) ).

cnf(5348,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2414)
    | c1_1(a2414)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5342,100,theory(equality)]) ).

cnf(5378,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2523,48]) ).

cnf(5379,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp23 ),
    inference(csr,[status(thm)],[5378,46]) ).

cnf(5380,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[5379,2285,theory(equality)]) ).

cnf(5381,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[5379,2646,theory(equality)]) ).

cnf(5384,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[5379,3328,theory(equality)]) ).

cnf(5390,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp25
    | hskp7
    | ~ hskp26 ),
    inference(spm,[status(thm)],[5379,4898,theory(equality)]) ).

cnf(5411,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp30 ),
    inference(csr,[status(thm)],[5380,5381]) ).

cnf(5422,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp19
    | ~ hskp26 ),
    inference(csr,[status(thm)],[5384,3111]) ).

cnf(5424,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp19
    | hskp30 ),
    inference(spm,[status(thm)],[5422,12,theory(equality)]) ).

cnf(5425,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[5411,5424,theory(equality)]) ).

cnf(5426,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp19 ),
    inference(csr,[status(thm)],[5425,3111]) ).

cnf(5461,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp7
    | ~ hskp26 ),
    inference(csr,[status(thm)],[5390,4859]) ).

cnf(5599,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp30
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1818,19]) ).

cnf(5600,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(a2402)
    | c1_1(a2402)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[5599,140,theory(equality)]) ).

cnf(5639,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2422)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2570,80]) ).

cnf(5647,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp9
    | hskp1
    | ~ hskp15 ),
    inference(spm,[status(thm)],[2149,5639,theory(equality)]) ).

cnf(5683,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[5156,5199]) ).

cnf(5696,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2572,64]) ).

cnf(5697,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[5696,62]) ).

cnf(5698,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[2573,59]) ).

cnf(5699,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[5698,1794,theory(equality)]) ).

cnf(5720,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[2574,46]) ).

cnf(5721,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5720,1795,theory(equality)]) ).

cnf(5723,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[5721,2646,theory(equality)]) ).

cnf(5732,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp14
    | ~ hskp15 ),
    inference(spm,[status(thm)],[5721,5647,theory(equality)]) ).

cnf(5769,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp6
    | hskp1
    | ~ hskp15 ),
    inference(spm,[status(thm)],[5723,5732,theory(equality)]) ).

cnf(5778,negated_conjecture,
    ( hskp9
    | hskp1
    | c0_1(a2406)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2575,28]) ).

cnf(5781,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp9
    | hskp1
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1569,5778,theory(equality)]) ).

cnf(5891,negated_conjecture,
    ( hskp5
    | c2_1(a2410)
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2617,115]) ).

cnf(5892,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[5891,114]) ).

cnf(5968,negated_conjecture,
    ( hskp5
    | c2_1(a2484)
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2621,35]) ).

cnf(5972,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp5
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2797,5968,theory(equality)]) ).

cnf(5975,negated_conjecture,
    ( hskp23
    | hskp5
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[5972,5892]) ).

cnf(5976,negated_conjecture,
    ( hskp15
    | hskp5
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1729,5975,theory(equality)]) ).

cnf(5984,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp5
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[5379,5975,theory(equality)]) ).

cnf(5988,negated_conjecture,
    ( hskp15
    | hskp5
    | hskp1
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[5976,12,theory(equality)]) ).

cnf(6026,negated_conjecture,
    ( hskp21
    | hskp5
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[5984,5892]) ).

cnf(6043,negated_conjecture,
    ( hskp5
    | c2_1(a2450)
    | hskp1
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2623,19]) ).

cnf(6092,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2653,138]) ).

cnf(6096,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp30
    | hskp21
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4123,6092,theory(equality)]) ).

cnf(6097,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp30
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4356,6092,theory(equality)]) ).

cnf(6123,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2407)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2655,123]) ).

cnf(6124,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp4 ),
    inference(csr,[status(thm)],[6123,122]) ).

cnf(6125,negated_conjecture,
    ( hskp30
    | hskp21
    | c1_1(a2408)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[2656,118]) ).

cnf(6126,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp30
    | hskp21
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2098,6125,theory(equality)]) ).

cnf(6130,negated_conjecture,
    ( hskp23
    | hskp21
    | hskp14
    | ~ hskp5 ),
    inference(csr,[status(thm)],[6126,2285]) ).

cnf(6139,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp14
    | ~ hskp5 ),
    inference(spm,[status(thm)],[5379,6130,theory(equality)]) ).

cnf(6142,negated_conjecture,
    ( c2_1(a2432)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp19
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1877,64]) ).

cnf(6153,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[6139,5381]) ).

cnf(6160,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp20
    | ~ c2_1(X2)
    | ~ c1_1(a2435)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1878,58]) ).

cnf(6161,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | hskp12
    | ~ hskp20
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(spm,[status(thm)],[6160,1794,theory(equality)]) ).

cnf(6213,negated_conjecture,
    ( hskp30
    | hskp21
    | c2_1(a2414)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2658,99]) ).

cnf(6216,negated_conjecture,
    ( hskp30
    | hskp21
    | c1_1(a2425)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2659,75]) ).

cnf(6217,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp21
    | ~ hskp17
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1893,6216,theory(equality)]) ).

cnf(6218,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp30
    | hskp21
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2504,6216,theory(equality)]) ).

cnf(6226,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp16
    | ~ hskp19 ),
    inference(spm,[status(thm)],[6217,3886,theory(equality)]) ).

cnf(6227,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp16
    | ~ hskp20 ),
    inference(spm,[status(thm)],[6217,3909,theory(equality)]) ).

cnf(6237,negated_conjecture,
    ( hskp26
    | hskp21
    | hskp6
    | ~ hskp16 ),
    inference(csr,[status(thm)],[6218,5411]) ).

cnf(6297,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[2705,58]) ).

cnf(6298,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[6297,1794,theory(equality)]) ).

cnf(6299,negated_conjecture,
    ( hskp12
    | hskp18
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1845,6298,theory(equality)]) ).

cnf(6307,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp18
    | ~ hskp20 ),
    inference(spm,[status(thm)],[4178,6298,theory(equality)]) ).

cnf(6339,negated_conjecture,
    ( hskp18
    | hskp17
    | c2_1(a2468)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2708,44]) ).

cnf(6341,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | hskp18
    | hskp17
    | ~ c1_1(a2468)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1533,6339,theory(equality)]) ).

cnf(6396,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp3
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[1914,28]) ).

cnf(6397,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[6396,27]) ).

cnf(6421,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2412)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2753,108]) ).

cnf(6422,negated_conjecture,
    ( hskp16
    | hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[6421,106]) ).

cnf(6423,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2240,6422,theory(equality)]) ).

cnf(6457,negated_conjecture,
    ( hskp16
    | hskp13
    | ~ hskp18
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[2757,67]) ).

cnf(6506,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2758,64]) ).

cnf(6508,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp16
    | hskp13
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2275,6506,theory(equality)]) ).

cnf(6511,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp16
    | hskp13
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2927,6506,theory(equality)]) ).

cnf(6514,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp16
    | hskp13
    | ~ hskp19 ),
    inference(spm,[status(thm)],[5333,6506,theory(equality)]) ).

cnf(6516,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp11
    | ~ hskp19 ),
    inference(csr,[status(thm)],[6508,2240]) ).

cnf(6547,negated_conjecture,
    ( hskp16
    | hskp13
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[2759,58]) ).

cnf(6548,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[6547,1794,theory(equality)]) ).

cnf(6549,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp16
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2240,6548,theory(equality)]) ).

cnf(6664,negated_conjecture,
    ( hskp16
    | hskp13
    | c2_1(a2468)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2762,44]) ).

cnf(6665,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp16
    | hskp13
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2322,6664,theory(equality)]) ).

cnf(6666,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | hskp16
    | hskp13
    | ~ c1_1(a2468)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1533,6664,theory(equality)]) ).

cnf(6669,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[6665,2240]) ).

cnf(6671,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp11
    | hskp25
    | hskp19
    | hskp3
    | ~ hskp26 ),
    inference(spm,[status(thm)],[6669,3323,theory(equality)]) ).

cnf(6742,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2405)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2815,127]) ).

cnf(6744,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp16
    | hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2598,6742,theory(equality)]) ).

cnf(6755,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp16
    | hskp12
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4479,6744,theory(equality)]) ).

cnf(6762,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1923,64]) ).

cnf(6860,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2411)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2816,112]) ).

cnf(6861,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[6860,111]) ).

cnf(6865,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp19
    | ~ hskp7 ),
    inference(spm,[status(thm)],[6226,6861,theory(equality)]) ).

cnf(6888,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1925,48]) ).

cnf(6892,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[6888,92,theory(equality)]) ).

cnf(6927,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[2817,99]) ).

cnf(6928,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp30
    | hskp21
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6927,6213,theory(equality)]) ).

cnf(6933,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6227,6928,theory(equality)]) ).

cnf(6940,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp28
    | ~ c2_1(a2406)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1926,28]) ).

cnf(6941,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp28
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[6940,27]) ).

cnf(6945,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[6941,92,theory(equality)]) ).

cnf(6989,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1927,23]) ).

cnf(6993,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[6989,92,theory(equality)]) ).

cnf(6998,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | c0_1(a2455)
    | c0_1(X1)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[6989,47,theory(equality)]) ).

cnf(7039,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2822,40]) ).

cnf(7040,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp16
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2324,7039,theory(equality)]) ).

cnf(7068,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp30
    | ~ c2_1(a2450)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1928,19]) ).

cnf(7170,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2884,138]) ).

cnf(7174,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp16
    | hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4123,7170,theory(equality)]) ).

cnf(7187,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp11
    | hskp15
    | hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[6669,7174,theory(equality)]) ).

cnf(7205,negated_conjecture,
    ( hskp16
    | hskp10
    | c1_1(a2408)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[2885,118]) ).

cnf(7206,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp16
    | hskp10
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2098,7205,theory(equality)]) ).

cnf(7207,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp10
    | ~ hskp5 ),
    inference(spm,[status(thm)],[3109,7205,theory(equality)]) ).

cnf(7212,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp16
    | hskp14
    | hskp10
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2283,7206,theory(equality)]) ).

cnf(7223,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp10 ),
    inference(csr,[status(thm)],[7207,9]) ).

cnf(7260,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2416)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2886,95]) ).

cnf(7261,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[7260,94]) ).

cnf(7262,negated_conjecture,
    ( hskp26
    | hskp21
    | hskp6
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[6237,7261,theory(equality)]) ).

cnf(7281,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp7
    | hskp10
    | hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5461,7262,theory(equality)]) ).

cnf(7291,negated_conjecture,
    ( hskp16
    | hskp10
    | c2_1(a2417)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2887,90]) ).

cnf(7292,negated_conjecture,
    ( hskp15
    | hskp16
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1698,7291,theory(equality)]) ).

cnf(7295,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp16
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4360,7291,theory(equality)]) ).

cnf(7312,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp10
    | ~ hskp12 ),
    inference(csr,[status(thm)],[7295,7261]) ).

cnf(7405,negated_conjecture,
    ( hskp16
    | hskp10
    | c1_1(a2435)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2891,58]) ).

cnf(7406,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3908,7405,theory(equality)]) ).

cnf(7422,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp16
    | hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[4380,7406,theory(equality)]) ).

cnf(7461,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp10
    | ~ hskp20 ),
    inference(csr,[status(thm)],[7422,7261]) ).

cnf(7466,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[6227,7461,theory(equality)]) ).

cnf(7491,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp20 ),
    inference(csr,[status(thm)],[7466,6933]) ).

cnf(7493,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | hskp7
    | ~ hskp19 ),
    inference(spm,[status(thm)],[7491,5050,theory(equality)]) ).

cnf(7504,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp19 ),
    inference(csr,[status(thm)],[7493,6865]) ).

cnf(7637,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2941,48]) ).

cnf(7642,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5720,7637,theory(equality)]) ).

cnf(7643,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[7642,2285,theory(equality)]) ).

cnf(7644,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[7642,2646,theory(equality)]) ).

cnf(7722,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp6
    | hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[7644,7643,theory(equality)]) ).

cnf(7786,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2943,40]) ).

cnf(7787,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp9
    | hskp8
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2324,7786,theory(equality)]) ).

cnf(7789,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp11
    | hskp9
    | ~ hskp1
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2804,7787,theory(equality)]) ).

cnf(7790,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp11
    | hskp9
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2805,7787,theory(equality)]) ).

cnf(7873,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(a2417)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[3002,91]) ).

cnf(7874,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[7873,90]) ).

cnf(7875,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[7874,2652,theory(equality)]) ).

cnf(7876,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp30
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[7874,3404,theory(equality)]) ).

cnf(7882,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp21
    | hskp3 ),
    inference(spm,[status(thm)],[7874,4970,theory(equality)]) ).

cnf(7903,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[7876,7875]) ).

cnf(7904,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp11 ),
    inference(csr,[status(thm)],[7903,3111]) ).

cnf(7988,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp12
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[6755,7882]) ).

cnf(7989,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[7988,7874]) ).

cnf(8061,negated_conjecture,
    ( c2_1(a2422)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp15
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2008,80]) ).

cnf(8062,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp15
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[8061,78]) ).

cnf(8063,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | hskp6
    | ~ c0_1(X2)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[8062,2649,theory(equality)]) ).

cnf(8096,negated_conjecture,
    ( hskp11
    | hskp6
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3007,46]) ).

cnf(8243,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(a2413)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[3050,104]) ).

cnf(8244,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[8243,102]) ).

cnf(8245,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[8244,5697,theory(equality)]) ).

cnf(8332,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3057,48]) ).

cnf(8336,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5077,8332,theory(equality)]) ).

cnf(8337,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp7
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5720,8332,theory(equality)]) ).

cnf(8338,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[8336,2285,theory(equality)]) ).

cnf(8339,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[8336,2646,theory(equality)]) ).

cnf(8342,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[8336,3328,theory(equality)]) ).

cnf(8346,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | hskp25
    | ~ hskp26 ),
    inference(spm,[status(thm)],[8336,4898,theory(equality)]) ).

cnf(8402,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[8337,8244]) ).

cnf(8403,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[8402,2285,theory(equality)]) ).

cnf(8404,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | ~ hskp14 ),
    inference(spm,[status(thm)],[8402,2646,theory(equality)]) ).

cnf(8411,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | hskp25
    | ~ hskp26 ),
    inference(spm,[status(thm)],[8402,4898,theory(equality)]) ).

cnf(8456,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | ~ hskp30 ),
    inference(csr,[status(thm)],[8338,8339]) ).

cnf(8465,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp7
    | ~ hskp26 ),
    inference(csr,[status(thm)],[8346,4859]) ).

cnf(8484,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp30
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2015,19]) ).

cnf(8511,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | ~ hskp30 ),
    inference(csr,[status(thm)],[8403,8404]) ).

cnf(8514,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[8411,4859]) ).

cnf(8516,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp1
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[8514,12,theory(equality)]) ).

cnf(8552,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[8511,8516,theory(equality)]) ).

cnf(8553,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[8552,8245]) ).

cnf(8554,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp1 ),
    inference(csr,[status(thm)],[8553,4859]) ).

cnf(8599,negated_conjecture,
    ( hskp7
    | hskp6
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[3059,40]) ).

cnf(8600,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp7
    | hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2324,8599,theory(equality)]) ).

cnf(8601,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp7
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2746,8599,theory(equality)]) ).

cnf(8602,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1729,8601,theory(equality)]) ).

cnf(8610,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp7
    | ~ hskp25 ),
    inference(spm,[status(thm)],[5379,8601,theory(equality)]) ).

cnf(8616,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[8336,8601,theory(equality)]) ).

cnf(8617,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1
    | ~ hskp25 ),
    inference(spm,[status(thm)],[8402,8601,theory(equality)]) ).

cnf(8649,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[8617,8554]) ).

cnf(8650,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[8600,7874]) ).

cnf(8656,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp6
    | hskp19 ),
    inference(spm,[status(thm)],[8650,7904,theory(equality)]) ).

cnf(8668,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp3
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[2063,127]) ).

cnf(8692,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3112,138]) ).

cnf(8719,negated_conjecture,
    ( hskp22
    | hskp5
    | c2_1(a2407)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3114,123]) ).

cnf(8720,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp4 ),
    inference(csr,[status(thm)],[8719,122]) ).

cnf(8776,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[2067,99]) ).

cnf(8777,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp30
    | hskp21
    | ~ hskp10
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[8776,6213,theory(equality)]) ).

cnf(8837,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2437)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp21
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[2069,55]) ).

cnf(8838,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp21
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[8837,54]) ).

cnf(8894,negated_conjecture,
    ( hskp19
    | hskp5
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[3176,135]) ).

cnf(8897,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp16
    | hskp13
    | c2_1(a2403)
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[8894,1603,theory(equality)]) ).

cnf(8970,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2414)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3180,100]) ).

cnf(8973,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp19
    | hskp5
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6927,8970,theory(equality)]) ).

cnf(9021,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2425)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[3182,76]) ).

cnf(9022,negated_conjecture,
    ( hskp19
    | hskp5
    | ~ hskp16 ),
    inference(csr,[status(thm)],[9021,75]) ).

cnf(9033,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp12
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[9022,7040,theory(equality)]) ).

cnf(9041,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[9022,7261,theory(equality)]) ).

cnf(9047,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp21
    | hskp11
    | hskp6 ),
    inference(spm,[status(thm)],[9022,7989,theory(equality)]) ).

cnf(9053,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[9022,8973,theory(equality)]) ).

cnf(9064,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[9047,6153]) ).

cnf(9065,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[9064,4385]) ).

cnf(9091,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp11
    | hskp5 ),
    inference(csr,[status(thm)],[9033,9]) ).

cnf(9186,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp12
    | hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[7187,7261]) ).

cnf(9187,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9186,7292]) ).

cnf(9212,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp12
    | hskp10
    | ~ hskp5 ),
    inference(csr,[status(thm)],[7212,7261]) ).

cnf(9221,negated_conjecture,
    ( hskp19
    | hskp5
    | c2_1(a2484)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[3186,36]) ).

cnf(9225,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp19
    | hskp5
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2797,9221,theory(equality)]) ).

cnf(9240,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp19
    | hskp5
    | ~ hskp26 ),
    inference(spm,[status(thm)],[5379,9225,theory(equality)]) ).

cnf(9279,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[9240,6153]) ).

cnf(9281,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp6
    | hskp30 ),
    inference(spm,[status(thm)],[9279,12,theory(equality)]) ).

cnf(9290,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp6 ),
    inference(csr,[status(thm)],[9281,5411]) ).

cnf(9299,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2403)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[3253,136]) ).

cnf(9300,negated_conjecture,
    ( hskp30
    | hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[9299,135]) ).

cnf(9331,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ hskp3
    | ~ c2_1(X1)
    | ~ c1_1(a2405)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2113,127]) ).

cnf(9334,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ c2_1(a2405)
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,9331,theory(equality)]) ).

cnf(9401,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp10
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[7281,9065]) ).

cnf(9402,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp10
    | hskp7 ),
    inference(csr,[status(thm)],[9401,4859]) ).

cnf(9406,negated_conjecture,
    ( hskp30
    | hskp2
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[3259,75]) ).

cnf(9407,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp21
    | ~ hskp16 ),
    inference(spm,[status(thm)],[9406,6216,theory(equality)]) ).

cnf(9429,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp2
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[9407,7312,theory(equality)]) ).

cnf(9492,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2468)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3261,44]) ).

cnf(9544,negated_conjecture,
    ( hskp30
    | hskp2
    | c2_1(a2484)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[3263,35]) ).

cnf(9548,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp30
    | hskp2
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2797,9544,theory(equality)]) ).

cnf(9557,negated_conjecture,
    ( hskp15
    | hskp30
    | hskp6
    | hskp2
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1729,9548,theory(equality)]) ).

cnf(9577,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | ~ hskp26 ),
    inference(csr,[status(thm)],[9557,2649]) ).

cnf(9579,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[9577,12,theory(equality)]) ).

cnf(9601,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[9579,2649]) ).

cnf(9665,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2120,35]) ).

cnf(9676,negated_conjecture,
    ( hskp20
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,9665,theory(equality)]) ).

cnf(9737,negated_conjecture,
    ( hskp20
    | ~ hskp26
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[9676,36]) ).

cnf(9739,negated_conjecture,
    ( hskp20
    | hskp25
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[9737,3321,theory(equality)]) ).

cnf(9742,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp5
    | ~ hskp26 ),
    inference(spm,[status(thm)],[9737,9221,theory(equality)]) ).

cnf(9743,negated_conjecture,
    ( hskp20
    | hskp30
    | hskp2
    | ~ hskp26 ),
    inference(spm,[status(thm)],[9737,9544,theory(equality)]) ).

cnf(9774,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(X1)
    | ~ c1_1(a2409)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2121,23]) ).

cnf(9777,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ hskp29
    | ~ c2_1(a2405)
    | ~ c1_1(a2409)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,9774,theory(equality)]) ).

cnf(9779,negated_conjecture,
    ( hskp20
    | ~ hskp10
    | ~ hskp29
    | ~ c2_1(a2414)
    | ~ c1_1(a2409)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,9774,theory(equality)]) ).

cnf(9780,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ hskp29
    | ~ c2_1(a2420)
    | ~ c1_1(a2409)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,9774,theory(equality)]) ).

cnf(9784,negated_conjecture,
    ( hskp20
    | ~ hskp25
    | ~ hskp29
    | ~ c2_1(a2478)
    | ~ c1_1(a2409)
    | ~ c0_1(a2478) ),
    inference(spm,[status(thm)],[38,9774,theory(equality)]) ).

cnf(9851,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp5
    | hskp11
    | hskp8 ),
    inference(spm,[status(thm)],[9742,11,theory(equality)]) ).

cnf(9852,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp5
    | hskp30 ),
    inference(spm,[status(thm)],[9742,12,theory(equality)]) ).

cnf(9870,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp2
    | hskp19 ),
    inference(spm,[status(thm)],[9743,12,theory(equality)]) ).

cnf(9882,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp30
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[5699,9870,theory(equality)]) ).

cnf(9883,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[7491,9870,theory(equality)]) ).

cnf(10003,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | hskp2 ),
    inference(csr,[status(thm)],[9883,7504]) ).

cnf(10005,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp10
    | hskp2 ),
    inference(spm,[status(thm)],[9429,10003,theory(equality)]) ).

cnf(10137,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[3338,75]) ).

cnf(10267,negated_conjecture,
    ( hskp6
    | c2_1(a2468)
    | hskp1
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3340,44]) ).

cnf(10271,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2743,10267,theory(equality)]) ).

cnf(10277,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1
    | hskp15
    | ~ hskp17 ),
    inference(spm,[status(thm)],[10271,4177,theory(equality)]) ).

cnf(10303,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[10277,1729]) ).

cnf(10305,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | hskp18
    | ~ hskp19 ),
    inference(spm,[status(thm)],[10303,3153,theory(equality)]) ).

cnf(10357,negated_conjecture,
    ( hskp6
    | c2_1(a2484)
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[3342,35]) ).

cnf(10361,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2797,10357,theory(equality)]) ).

cnf(10363,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1729,10361,theory(equality)]) ).

cnf(10375,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[7642,10361,theory(equality)]) ).

cnf(10390,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[10363,12,theory(equality)]) ).

cnf(10431,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[10390,2649]) ).

cnf(10432,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp6
    | hskp1
    | hskp19 ),
    inference(spm,[status(thm)],[5769,10431,theory(equality)]) ).

cnf(10459,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[10432,5697]) ).

cnf(10460,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[7874,10459,theory(equality)]) ).

cnf(10492,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp6
    | hskp1
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[10375,12,theory(equality)]) ).

cnf(10521,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp9
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[9882,5697]) ).

cnf(10522,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[10521,9300]) ).

cnf(10525,negated_conjecture,
    ( hskp29
    | c2_1(a2412)
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3411,108]) ).

cnf(10526,negated_conjecture,
    ( hskp29
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[10525,106]) ).

cnf(10527,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2048,10526,theory(equality)]) ).

cnf(10528,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp11
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4284,10526,theory(equality)]) ).

cnf(10533,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4568,10526,theory(equality)]) ).

cnf(10571,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | hskp12
    | hskp9
    | ~ hskp25 ),
    inference(spm,[status(thm)],[10533,7787,theory(equality)]) ).

cnf(10612,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2169,64]) ).

cnf(10613,negated_conjecture,
    ( hskp10
    | ~ hskp1
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c1_1(a2403)
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,10612,theory(equality)]) ).

cnf(10619,negated_conjecture,
    ( hskp10
    | ~ hskp16
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,10612,theory(equality)]) ).

cnf(10731,negated_conjecture,
    ( hskp29
    | hskp0
    | ~ hskp18
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[3415,67]) ).

cnf(10733,negated_conjecture,
    ( hskp29
    | c2_1(a2432)
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[3416,64]) ).

cnf(10738,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp29
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2927,10733,theory(equality)]) ).

cnf(10752,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2171,48]) ).

cnf(10755,negated_conjecture,
    ( hskp10
    | ~ hskp3
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,10752,theory(equality)]) ).

cnf(10759,negated_conjecture,
    ( hskp10
    | ~ hskp16
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,10752,theory(equality)]) ).

cnf(10865,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp28
    | ~ c2_1(a2406)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2172,28]) ).

cnf(10866,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp28
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[10865,27]) ).

cnf(10869,negated_conjecture,
    ( hskp10
    | ~ hskp3
    | ~ hskp28
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,10866,theory(equality)]) ).

cnf(10872,negated_conjecture,
    ( hskp10
    | ~ hskp14
    | ~ hskp28
    | ~ c1_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,10866,theory(equality)]) ).

cnf(10873,negated_conjecture,
    ( hskp10
    | ~ hskp16
    | ~ hskp28
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,10866,theory(equality)]) ).

cnf(10877,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ hskp28
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,10866,theory(equality)]) ).

cnf(10884,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp10
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1565,10866,theory(equality)]) ).

cnf(10989,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2173,23]) ).

cnf(10992,negated_conjecture,
    ( hskp10
    | ~ hskp3
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,10989,theory(equality)]) ).

cnf(10996,negated_conjecture,
    ( hskp10
    | ~ hskp16
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,10989,theory(equality)]) ).

cnf(11000,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,10989,theory(equality)]) ).

cnf(11066,negated_conjecture,
    ( hskp29
    | hskp0
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[3417,58]) ).

cnf(11176,negated_conjecture,
    ( hskp29
    | c2_1(a2468)
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3420,44]) ).

cnf(11177,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp29
    | hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2322,11176,theory(equality)]) ).

cnf(11178,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | hskp29
    | hskp0
    | ~ c1_1(a2468)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1533,11176,theory(equality)]) ).

cnf(11187,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | hskp12
    | ~ hskp24 ),
    inference(spm,[status(thm)],[4568,11177,theory(equality)]) ).

cnf(11195,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp11
    | hskp3
    | ~ c1_1(a2420)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2212,83,theory(equality)]) ).

cnf(11328,negated_conjecture,
    ( hskp9
    | c1_1(a2405)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3481,127]) ).

cnf(11395,negated_conjecture,
    ( hskp9
    | c1_1(a2411)
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[3482,112]) ).

cnf(11396,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[11395,111]) ).

cnf(11410,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2420)
    | ~ c0_1(X1)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2218,83,theory(equality)]) ).

cnf(11445,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | hskp29
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(a2468)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2218,11176,theory(equality)]) ).

cnf(11534,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2221,118]) ).

cnf(11537,negated_conjecture,
    ( hskp30
    | ~ hskp3
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,11534,theory(equality)]) ).

cnf(11540,negated_conjecture,
    ( hskp30
    | ~ hskp14
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,11534,theory(equality)]) ).

cnf(11541,negated_conjecture,
    ( hskp30
    | ~ hskp16
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,11534,theory(equality)]) ).

cnf(11545,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,11534,theory(equality)]) ).

cnf(11627,negated_conjecture,
    ( hskp28
    | hskp3
    | c0_1(a2404)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[3529,132]) ).

cnf(11643,negated_conjecture,
    ( hskp10
    | c2_1(a2404)
    | c1_1(X1)
    | c1_1(a2404)
    | c3_1(X1)
    | hskp28
    | hskp3
    | ~ c0_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1555,11627,theory(equality)]) ).

cnf(11665,negated_conjecture,
    ( hskp28
    | hskp3
    | c0_1(a2411)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[3531,111]) ).

cnf(11677,negated_conjecture,
    ( hskp3
    | c1_1(a2411)
    | c1_1(X1)
    | c3_1(X1)
    | hskp28
    | ~ c2_1(a2411)
    | ~ c2_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1543,11665,theory(equality)]) ).

cnf(11679,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp28
    | hskp3
    | ~ c2_1(a2411)
    | ~ c1_1(a2411)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1547,11665,theory(equality)]) ).

cnf(11710,negated_conjecture,
    ( hskp30
    | c2_1(a2422)
    | c3_1(X1)
    | ~ hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2224,80]) ).

cnf(11711,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | ~ hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[11710,78]) ).

cnf(11712,negated_conjecture,
    ( hskp30
    | ~ hskp1
    | ~ hskp15
    | ~ c1_1(a2403)
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,11711,theory(equality)]) ).

cnf(11714,negated_conjecture,
    ( hskp30
    | ~ hskp3
    | ~ hskp15
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,11711,theory(equality)]) ).

cnf(11717,negated_conjecture,
    ( hskp30
    | ~ hskp14
    | ~ hskp15
    | ~ c1_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,11711,theory(equality)]) ).

cnf(11718,negated_conjecture,
    ( hskp30
    | ~ hskp16
    | ~ hskp15
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,11711,theory(equality)]) ).

cnf(11722,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp15
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,11711,theory(equality)]) ).

cnf(11729,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp30
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1565,11711,theory(equality)]) ).

cnf(11782,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp8
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[10492,5697]) ).

cnf(11783,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[11782,7722]) ).

cnf(11802,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2428)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[3535,68]) ).

cnf(11804,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp28
    | hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[6457,11802,theory(equality)]) ).

cnf(11807,negated_conjecture,
    ( hskp29
    | hskp0
    | hskp28
    | hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[10731,11802,theory(equality)]) ).

cnf(11921,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | c3_1(X1)
    | ~ hskp19
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2226,64]) ).

cnf(11924,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp3
    | ~ hskp19
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,11921,theory(equality)]) ).

cnf(11928,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp16
    | ~ hskp19
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,11921,theory(equality)]) ).

cnf(11932,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp26
    | ~ hskp19
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,11921,theory(equality)]) ).

cnf(11942,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | hskp30
    | c2_1(a2432)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ hskp19
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[1507,11921,theory(equality)]) ).

cnf(11996,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[3537,39]) ).

cnf(11998,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp28
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2746,11996,theory(equality)]) ).

cnf(12016,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2227,58]) ).

cnf(12019,negated_conjecture,
    ( hskp30
    | ~ hskp3
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,12016,theory(equality)]) ).

cnf(12022,negated_conjecture,
    ( hskp30
    | ~ hskp14
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ c1_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,12016,theory(equality)]) ).

cnf(12023,negated_conjecture,
    ( hskp30
    | ~ hskp16
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,12016,theory(equality)]) ).

cnf(12027,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,12016,theory(equality)]) ).

cnf(12049,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | hskp30
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[1525,12016,theory(equality)]) ).

cnf(12091,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2500)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[3539,32]) ).

cnf(12092,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[12091,31]) ).

cnf(12093,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp25
    | hskp24 ),
    inference(spm,[status(thm)],[12092,2698,theory(equality)]) ).

cnf(12152,negated_conjecture,
    ( hskp14
    | hskp1
    | c0_1(a2404)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[3617,131]) ).

cnf(12226,negated_conjecture,
    ( hskp14
    | c2_1(a2428)
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[3623,68]) ).

cnf(12227,negated_conjecture,
    ( hskp14
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[12226,67]) ).

cnf(12228,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[2647,12227,theory(equality)]) ).

cnf(12265,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[12228,10305,theory(equality)]) ).

cnf(12350,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[12265,10431]) ).

cnf(12353,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | hskp6
    | hskp1
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[8062,12350,theory(equality)]) ).

cnf(12408,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp12
    | hskp11
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[2246,28]) ).

cnf(12409,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp12
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[12408,27]) ).

cnf(12410,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[12409,2283]) ).

cnf(12413,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[12410,3768,theory(equality)]) ).

cnf(12425,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp25
    | hskp24
    | hskp3 ),
    inference(spm,[status(thm)],[12410,12093,theory(equality)]) ).

cnf(12577,negated_conjecture,
    ( hskp14
    | c2_1(a2500)
    | hskp1
    | ~ hskp27 ),
    inference(csr,[status(thm)],[3627,32]) ).

cnf(12599,negated_conjecture,
    ( hskp13
    | hskp1
    | c0_1(a2404)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[3666,131]) ).

cnf(12629,negated_conjecture,
    ( hskp20
    | c2_1(a2422)
    | c0_1(X1)
    | ~ hskp15
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2266,80]) ).

cnf(12630,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | ~ hskp15
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[12629,78]) ).

cnf(12635,negated_conjecture,
    ( hskp20
    | c0_1(a2422)
    | ~ hskp15
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[12630,79,theory(equality)]) ).

cnf(12637,negated_conjecture,
    ( hskp20
    | c0_1(a2432)
    | ~ hskp15
    | ~ c1_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[12630,63,theory(equality)]) ).

cnf(12639,negated_conjecture,
    ( hskp20
    | c0_1(a2455)
    | ~ hskp15
    | ~ c1_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[12630,47,theory(equality)]) ).

cnf(12640,negated_conjecture,
    ( hskp20
    | c0_1(a2406)
    | ~ hskp15
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[12630,26,theory(equality)]) ).

cnf(12677,negated_conjecture,
    ( hskp20
    | c0_1(a2422)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[12635,80]) ).

cnf(12685,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp20
    | ~ hskp15 ),
    inference(spm,[status(thm)],[2149,12677,theory(equality)]) ).

cnf(12747,negated_conjecture,
    ( hskp20
    | c2_1(a2432)
    | c0_1(X1)
    | ~ hskp19
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2268,64]) ).

cnf(12754,negated_conjecture,
    ( hskp20
    | c2_1(a2432)
    | c0_1(a2432)
    | ~ hskp19
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[12747,63,theory(equality)]) ).

cnf(12825,negated_conjecture,
    ( hskp13
    | c2_1(a2428)
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[3672,68]) ).

cnf(12826,negated_conjecture,
    ( hskp13
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[12825,67]) ).

cnf(12827,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[2240,12826,theory(equality)]) ).

cnf(12982,negated_conjecture,
    ( hskp13
    | c2_1(a2468)
    | hskp1
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3673,43]) ).

cnf(12983,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp13
    | hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2322,12982,theory(equality)]) ).

cnf(12984,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | hskp13
    | hskp1
    | ~ c1_1(a2468)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1533,12982,theory(equality)]) ).

cnf(12989,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | ~ hskp24 ),
    inference(csr,[status(thm)],[12983,2240]) ).

cnf(13164,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2306,127]) ).

cnf(13165,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,13164,theory(equality)]) ).

cnf(13171,negated_conjecture,
    ( hskp15
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,13164,theory(equality)]) ).

cnf(13180,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp15
    | c2_1(a2427)
    | ~ hskp17
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(a2427) ),
    inference(spm,[status(thm)],[1942,13164,theory(equality)]) ).

cnf(13312,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[10869,128]) ).

cnf(13313,negated_conjecture,
    ( hskp10
    | hskp16
    | hskp12
    | ~ hskp28
    | ~ hskp3 ),
    inference(spm,[status(thm)],[13312,6742,theory(equality)]) ).

cnf(13320,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp10
    | hskp9
    | ~ hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[13313,4753,theory(equality)]) ).

cnf(13414,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[10872,84]) ).

cnf(13415,negated_conjecture,
    ( hskp10
    | hskp12
    | hskp11
    | ~ hskp28
    | ~ hskp14
    | ~ c2_1(a2420)
    | ~ c1_1(a2420) ),
    inference(spm,[status(thm)],[13414,1581,theory(equality)]) ).

cnf(13459,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[10873,76]) ).

cnf(13505,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2313,35]) ).

cnf(13506,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,13505,theory(equality)]) ).

cnf(13512,negated_conjecture,
    ( hskp15
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,13505,theory(equality)]) ).

cnf(13561,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp26
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[10877,36]) ).

cnf(13562,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp26 ),
    inference(csr,[status(thm)],[13561,35]) ).

cnf(13568,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26
    | ~ hskp23 ),
    inference(spm,[status(thm)],[13562,4753,theory(equality)]) ).

cnf(13600,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp6
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[13568,10361,theory(equality)]) ).

cnf(13619,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2314,23]) ).

cnf(13620,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,13619,theory(equality)]) ).

cnf(13626,negated_conjecture,
    ( hskp15
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,13619,theory(equality)]) ).

cnf(13750,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp6
    | hskp1
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[13600,12,theory(equality)]) ).

cnf(13818,negated_conjecture,
    ( hskp30
    | ~ hskp15
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[11712,136]) ).

cnf(13821,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp13
    | c2_1(a2403)
    | ~ hskp15
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[13818,1603,theory(equality)]) ).

cnf(13838,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp31
    | ~ c2_1(a2498)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2316,15]) ).

cnf(13839,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp31
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[13838,14]) ).

cnf(13845,negated_conjecture,
    ( hskp15
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp31
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,13839,theory(equality)]) ).

cnf(13896,negated_conjecture,
    ( hskp30
    | ~ hskp15
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[11714,128]) ).

cnf(13956,negated_conjecture,
    ( hskp30
    | ~ hskp15
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[11717,84]) ).

cnf(13957,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp15
    | ~ hskp14
    | ~ c2_1(a2420)
    | ~ c1_1(a2420) ),
    inference(spm,[status(thm)],[13956,1581,theory(equality)]) ).

cnf(13995,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ c2_1(a2406)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2318,28]) ).

cnf(13996,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[13995,27]) ).

cnf(13997,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp28
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,13996,theory(equality)]) ).

cnf(14002,negated_conjecture,
    ( hskp15
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp28
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,13996,theory(equality)]) ).

cnf(14006,negated_conjecture,
    ( hskp15
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp28
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[43,13996,theory(equality)]) ).

cnf(14020,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(X1)
    | hskp15
    | ~ c1_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1585,13996,theory(equality)]) ).

cnf(14055,negated_conjecture,
    ( hskp30
    | ~ hskp16
    | ~ hskp15
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[11718,76]) ).

cnf(14056,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14055,6216,theory(equality)]) ).

cnf(14274,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2321,1581]) ).

cnf(14279,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | c0_1(X1)
    | ~ c1_1(a2420)
    | ~ c1_1(X1)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[14274,83,theory(equality)]) ).

cnf(14319,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[12425,12413]) ).

cnf(14429,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp15
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[11722,36]) ).

cnf(14430,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp15 ),
    inference(csr,[status(thm)],[14429,35]) ).

cnf(14431,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp8
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14430,11,theory(equality)]) ).

cnf(14432,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14430,12,theory(equality)]) ).

cnf(14439,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp25 ),
    inference(spm,[status(thm)],[14432,3399,theory(equality)]) ).

cnf(14444,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp5
    | hskp1 ),
    inference(spm,[status(thm)],[14432,5988,theory(equality)]) ).

cnf(14446,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp7
    | hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[14432,8602,theory(equality)]) ).

cnf(14477,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | hskp30
    | ~ hskp15 ),
    inference(spm,[status(thm)],[10533,14431,theory(equality)]) ).

cnf(14506,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2350,120]) ).

cnf(14514,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | c0_1(a2435)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[14506,60,theory(equality)]) ).

cnf(14549,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[14446,14439]) ).

cnf(14593,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp11
    | ~ hskp15 ),
    inference(csr,[status(thm)],[14477,6097]) ).

cnf(14616,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp15
    | ~ c3_1(X1)
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[2353,80]) ).

cnf(14624,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | c0_1(a2435)
    | ~ hskp15
    | ~ c0_1(a2422)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[14616,60,theory(equality)]) ).

cnf(14728,negated_conjecture,
    ( hskp20
    | c0_1(a2432)
    | ~ hskp19
    | ~ hskp15 ),
    inference(csr,[status(thm)],[12637,64]) ).

cnf(14729,negated_conjecture,
    ( hskp20
    | ~ hskp19
    | ~ hskp15 ),
    inference(csr,[status(thm)],[14728,62]) ).

cnf(14770,negated_conjecture,
    ( hskp20
    | c0_1(a2455)
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[12639,1729]) ).

cnf(14771,negated_conjecture,
    ( hskp20
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[14770,46]) ).

cnf(14772,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[14771,1795,theory(equality)]) ).

cnf(14773,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[14771,7637,theory(equality)]) ).

cnf(14774,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[14771,8096,theory(equality)]) ).

cnf(14776,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14772,2285,theory(equality)]) ).

cnf(14777,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[14772,2646,theory(equality)]) ).

cnf(14800,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp14
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14772,12685,theory(equality)]) ).

cnf(14801,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14773,2285,theory(equality)]) ).

cnf(14802,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[14773,2646,theory(equality)]) ).

cnf(14838,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp6
    | hskp16
    | hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[14774,6744,theory(equality)]) ).

cnf(14898,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[14777,12227,theory(equality)]) ).

cnf(14906,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14777,14776,theory(equality)]) ).

cnf(14912,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14777,14800,theory(equality)]) ).

cnf(15036,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2359,24]) ).

cnf(15041,negated_conjecture,
    ( hskp12
    | c2_1(a2422)
    | c0_1(a2422)
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[15036,79,theory(equality)]) ).

cnf(15118,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14802,14801,theory(equality)]) ).

cnf(15147,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(a2450)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2360,20]) ).

cnf(15148,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[15147,19]) ).

cnf(15155,negated_conjecture,
    ( hskp12
    | c2_1(a2432)
    | c0_1(a2432)
    | ~ hskp30
    | ~ hskp19 ),
    inference(spm,[status(thm)],[15148,63,theory(equality)]) ).

cnf(15156,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | c0_1(a2435)
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[15148,60,theory(equality)]) ).

cnf(15425,negated_conjecture,
    ( hskp20
    | c0_1(a2406)
    | ~ hskp28
    | ~ hskp15 ),
    inference(csr,[status(thm)],[12640,28]) ).

cnf(15426,negated_conjecture,
    ( hskp20
    | c0_1(a2406)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[15425,1730]) ).

cnf(15429,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp20
    | ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1569,15426,theory(equality)]) ).

cnf(15432,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2045,15426,theory(equality)]) ).

cnf(15434,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c2_1(a2406)
    | ~ c2_1(X1)
    | ~ c1_1(a2406)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1515,15426,theory(equality)]) ).

cnf(15435,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp20
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2244,15426,theory(equality)]) ).

cnf(15453,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[15432,3717,theory(equality)]) ).

cnf(15456,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[15432,4669,theory(equality)]) ).

cnf(15458,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[15432,4753,theory(equality)]) ).

cnf(15491,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | ~ hskp8 ),
    inference(spm,[status(thm)],[15456,2803,theory(equality)]) ).

cnf(15572,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2405,2646]) ).

cnf(15576,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ c1_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[15572,120,theory(equality)]) ).

cnf(15583,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ c1_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[15572,20,theory(equality)]) ).

cnf(15584,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ c1_1(a2498)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[15572,16,theory(equality)]) ).

cnf(15590,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | hskp18
    | hskp17
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[15572,1601,theory(equality)]) ).

cnf(15762,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp11
    | hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[7789,3577]) ).

cnf(15825,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp11
    | hskp9 ),
    inference(csr,[status(thm)],[7790,3465]) ).

cnf(15830,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | hskp20
    | hskp9 ),
    inference(spm,[status(thm)],[12827,15825,theory(equality)]) ).

cnf(15869,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[15830,5699]) ).

cnf(15881,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ hskp30 ),
    inference(csr,[status(thm)],[15583,19]) ).

cnf(15953,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ hskp31 ),
    inference(csr,[status(thm)],[15584,15]) ).

cnf(15954,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | hskp27
    | hskp25 ),
    inference(spm,[status(thm)],[15953,13,theory(equality)]) ).

cnf(15955,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp26
    | hskp25
    | hskp23
    | hskp6 ),
    inference(spm,[status(thm)],[12092,15954,theory(equality)]) ).

cnf(16229,negated_conjecture,
    ( hskp15
    | c2_1(a2432)
    | ~ hskp31
    | ~ hskp19 ),
    inference(csr,[status(thm)],[13845,64]) ).

cnf(16230,negated_conjecture,
    ( hskp15
    | ~ hskp31
    | ~ hskp19 ),
    inference(csr,[status(thm)],[16229,1701]) ).

cnf(16231,negated_conjecture,
    ( hskp15
    | hskp27
    | hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[16230,13,theory(equality)]) ).

cnf(16232,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp25
    | hskp15
    | ~ hskp19 ),
    inference(spm,[status(thm)],[12092,16231,theory(equality)]) ).

cnf(16447,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[13997,108]) ).

cnf(16448,negated_conjecture,
    ( hskp15
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[16447,106]) ).

cnf(16451,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp8
    | ~ hskp25 ),
    inference(spm,[status(thm)],[16448,3768,theory(equality)]) ).

cnf(16553,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp9
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[13750,5697]) ).

cnf(16568,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(a2422)
    | ~ hskp15
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2425,80]) ).

cnf(16571,negated_conjecture,
    ( hskp7
    | c0_1(a2422)
    | ~ hskp3
    | ~ hskp15
    | ~ c2_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,16568,theory(equality)]) ).

cnf(16574,negated_conjecture,
    ( hskp7
    | c0_1(a2422)
    | ~ hskp14
    | ~ hskp15
    | ~ c2_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,16568,theory(equality)]) ).

cnf(16658,negated_conjecture,
    ( hskp15
    | c2_1(a2432)
    | ~ hskp28
    | ~ hskp19 ),
    inference(csr,[status(thm)],[14002,64]) ).

cnf(16659,negated_conjecture,
    ( hskp15
    | ~ hskp28
    | ~ hskp19 ),
    inference(csr,[status(thm)],[16658,1701]) ).

cnf(16675,negated_conjecture,
    ( hskp15
    | hskp25
    | hskp3
    | ~ hskp19 ),
    inference(spm,[status(thm)],[16659,16232,theory(equality)]) ).

cnf(16744,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(a2432)
    | ~ hskp19
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2427,64]) ).

cnf(16745,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | ~ hskp19
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[16744,62]) ).

cnf(16748,negated_conjecture,
    ( hskp7
    | ~ hskp3
    | ~ hskp19
    | ~ c2_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,16745,theory(equality)]) ).

cnf(16750,negated_conjecture,
    ( hskp7
    | ~ hskp10
    | ~ hskp19
    | ~ c2_1(a2414)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,16745,theory(equality)]) ).

cnf(16756,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp19
    | ~ c2_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,16745,theory(equality)]) ).

cnf(16870,negated_conjecture,
    ( hskp15
    | c2_1(a2468)
    | ~ hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[14006,44]) ).

cnf(16872,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | hskp15
    | ~ c1_1(a2468)
    | ~ c0_1(X1)
    | ~ hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1533,16870,theory(equality)]) ).

cnf(16880,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | ~ hskp20
    | ~ c2_1(X1)
    | ~ c1_1(a2435)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2428,59]) ).

cnf(16883,negated_conjecture,
    ( hskp7
    | ~ hskp3
    | ~ hskp20
    | ~ c2_1(a2405)
    | ~ c1_1(a2435)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,16880,theory(equality)]) ).

cnf(16885,negated_conjecture,
    ( hskp7
    | ~ hskp10
    | ~ hskp20
    | ~ c2_1(a2414)
    | ~ c1_1(a2435)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,16880,theory(equality)]) ).

cnf(16891,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp20
    | ~ c2_1(a2484)
    | ~ c1_1(a2435)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,16880,theory(equality)]) ).

cnf(17002,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ c1_1(a2455)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2429,46]) ).

cnf(17005,negated_conjecture,
    ( hskp7
    | ~ hskp3
    | ~ hskp23
    | ~ c2_1(a2405)
    | ~ c1_1(a2455)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,17002,theory(equality)]) ).

cnf(17013,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp23
    | ~ c2_1(a2484)
    | ~ c1_1(a2455)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,17002,theory(equality)]) ).

cnf(17225,negated_conjecture,
    ( hskp12
    | c2_1(a2432)
    | ~ hskp30
    | ~ hskp19 ),
    inference(csr,[status(thm)],[15155,62]) ).

cnf(17226,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1701,17225,theory(equality)]) ).

cnf(17282,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[15156,59]) ).

cnf(17283,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[17282,58]) ).

cnf(17302,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp19
    | ~ hskp15 ),
    inference(spm,[status(thm)],[17283,14729,theory(equality)]) ).

cnf(17303,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,14906,theory(equality)]) ).

cnf(17313,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp19 ),
    inference(csr,[status(thm)],[17302,17226]) ).

cnf(17369,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2462,1729]) ).

cnf(17379,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp24
    | ~ c2_1(a2468)
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[43,17369,theory(equality)]) ).

cnf(17380,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ c2_1(a2478)
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[39,17369,theory(equality)]) ).

cnf(17441,negated_conjecture,
    ( hskp7
    | ~ hskp19
    | ~ hskp3
    | ~ c2_1(a2405) ),
    inference(csr,[status(thm)],[16748,128]) ).

cnf(17442,negated_conjecture,
    ( hskp7
    | ~ hskp19
    | ~ hskp3 ),
    inference(csr,[status(thm)],[17441,127]) ).

cnf(17563,negated_conjecture,
    ( hskp7
    | ~ hskp19
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[16750,100]) ).

cnf(17564,negated_conjecture,
    ( hskp7
    | hskp30
    | hskp21
    | ~ hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[17563,6213,theory(equality)]) ).

cnf(17569,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp7
    | hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[17564,9402,theory(equality)]) ).

cnf(17580,negated_conjecture,
    ( hskp30
    | hskp25
    | hskp21
    | hskp7 ),
    inference(csr,[status(thm)],[17569,14439]) ).

cnf(17581,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp25
    | hskp7 ),
    inference(spm,[status(thm)],[5411,17580,theory(equality)]) ).

cnf(17632,negated_conjecture,
    ( hskp21
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[17581,8610]) ).

cnf(17670,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2467,2646]) ).

cnf(17680,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[17670,24,theory(equality)]) ).

cnf(17681,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ c2_1(a2450)
    | ~ c1_1(a2450)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17670,20,theory(equality)]) ).

cnf(17682,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ c2_1(a2498)
    | ~ c1_1(a2498)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[17670,16,theory(equality)]) ).

cnf(17715,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp15
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[17670,17369,theory(equality)]) ).

cnf(17727,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp19
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[16756,36]) ).

cnf(17730,negated_conjecture,
    ( hskp7
    | hskp25
    | ~ hskp26
    | ~ hskp19 ),
    inference(spm,[status(thm)],[17727,4884,theory(equality)]) ).

cnf(17735,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp11
    | hskp8
    | ~ hskp19 ),
    inference(spm,[status(thm)],[17730,11,theory(equality)]) ).

cnf(17812,negated_conjecture,
    ( hskp25
    | hskp11
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[17735,7904]) ).

cnf(17906,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2471,5379]) ).

cnf(17910,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp0
    | ~ c1_1(a2418)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[17906,87,theory(equality)]) ).

cnf(18142,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2479,4753]) ).

cnf(18153,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ hskp25
    | ~ c2_1(a2478)
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[39,18142,theory(equality)]) ).

cnf(18197,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp28
    | hskp9
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[17670,18142,theory(equality)]) ).

cnf(18316,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[17910,88]) ).

cnf(18319,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp0
    | hskp16
    | ~ hskp19 ),
    inference(spm,[status(thm)],[18316,6511,theory(equality)]) ).

cnf(18431,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[18319,9290]) ).

cnf(18432,negated_conjecture,
    ( hskp26
    | hskp21
    | hskp6
    | hskp0 ),
    inference(spm,[status(thm)],[6237,18431,theory(equality)]) ).

cnf(18448,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp7
    | hskp6
    | hskp0 ),
    inference(spm,[status(thm)],[5461,18432,theory(equality)]) ).

cnf(18479,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2484,138]) ).

cnf(18483,negated_conjecture,
    ( hskp2
    | c0_1(a2417)
    | ~ c2_1(a2402)
    | ~ c2_1(a2417)
    | ~ hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[18479,92,theory(equality)]) ).

cnf(18486,negated_conjecture,
    ( hskp2
    | c0_1(a2432)
    | ~ c2_1(a2402)
    | ~ c2_1(a2432)
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[18479,63,theory(equality)]) ).

cnf(18530,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[18448,17632]) ).

cnf(18531,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp7 ),
    inference(csr,[status(thm)],[18530,4859]) ).

cnf(18590,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2487,90]) ).

cnf(18594,negated_conjecture,
    ( hskp2
    | c0_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(spm,[status(thm)],[18590,92,theory(equality)]) ).

cnf(18638,negated_conjecture,
    ( hskp2
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[18594,91]) ).

cnf(18639,negated_conjecture,
    ( hskp2
    | hskp16
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[18638,7291,theory(equality)]) ).

cnf(18745,negated_conjecture,
    ( hskp2
    | c1_1(a2427)
    | c0_1(X1)
    | ~ hskp17
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2489,72]) ).

cnf(18746,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | ~ hskp17
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[18745,70]) ).

cnf(18752,negated_conjecture,
    ( hskp2
    | c0_1(a2427)
    | ~ hskp17
    | ~ c2_1(a2427) ),
    inference(spm,[status(thm)],[18746,71,theory(equality)]) ).

cnf(18753,negated_conjecture,
    ( hskp2
    | c0_1(a2432)
    | ~ hskp17
    | ~ c2_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[18746,63,theory(equality)]) ).

cnf(18755,negated_conjecture,
    ( hskp2
    | c0_1(a2455)
    | ~ hskp17
    | ~ c2_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[18746,47,theory(equality)]) ).

cnf(18798,negated_conjecture,
    ( hskp2
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[18752,72]) ).

cnf(18811,negated_conjecture,
    ( hskp3
    | c1_1(a2427)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2
    | ~ c2_1(a2427)
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1543,18798,theory(equality)]) ).

cnf(18909,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp23
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[15955,11998]) ).

cnf(18910,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp26
    | hskp23
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[2247,18909,theory(equality)]) ).

cnf(18970,negated_conjecture,
    ( hskp2
    | c1_1(a2455)
    | c0_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2492,48]) ).

cnf(18979,negated_conjecture,
    ( hskp2
    | c1_1(a2455)
    | c0_1(a2455)
    | ~ hskp23
    | ~ c2_1(a2455) ),
    inference(spm,[status(thm)],[18970,47,theory(equality)]) ).

cnf(19071,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | c0_1(X1)
    | ~ hskp29
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2494,23]) ).

cnf(19080,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | c0_1(a2455)
    | ~ hskp29
    | ~ c2_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[19071,47,theory(equality)]) ).

cnf(19231,negated_conjecture,
    ( hskp21
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2529,5379]) ).

cnf(19235,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp13
    | ~ c2_1(a2418)
    | ~ c1_1(a2418) ),
    inference(spm,[status(thm)],[86,19231,theory(equality)]) ).

cnf(19315,negated_conjecture,
    ( hskp29
    | c1_1(a2402)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2530,140]) ).

cnf(19316,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19315,138]) ).

cnf(19318,negated_conjecture,
    ( hskp29
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2413)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[103,19316,theory(equality)]) ).

cnf(19319,negated_conjecture,
    ( hskp29
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[91,19316,theory(equality)]) ).

cnf(19325,negated_conjecture,
    ( hskp29
    | c1_1(a2455)
    | ~ hskp23
    | ~ c2_1(a2455)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[46,19316,theory(equality)]) ).

cnf(19327,negated_conjecture,
    ( hskp29
    | c1_1(a2478)
    | ~ hskp25
    | ~ c2_1(a2478)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[39,19316,theory(equality)]) ).

cnf(19332,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp29
    | c1_1(a2427)
    | ~ hskp17
    | ~ c2_1(a2427)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1942,19316,theory(equality)]) ).

cnf(19404,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2531,120]) ).

cnf(19406,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp5
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,19404,theory(equality)]) ).

cnf(19407,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2417)
    | ~ hskp12
    | ~ hskp5
    | ~ c2_1(a2417) ),
    inference(spm,[status(thm)],[91,19404,theory(equality)]) ).

cnf(19413,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp5
    | ~ c2_1(a2455) ),
    inference(spm,[status(thm)],[46,19404,theory(equality)]) ).

cnf(19416,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2500)
    | ~ hskp27
    | ~ hskp5
    | ~ c2_1(a2500) ),
    inference(spm,[status(thm)],[32,19404,theory(equality)]) ).

cnf(19479,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c2_1(X1)
    | ~ c0_1(a2416) ),
    inference(csr,[status(thm)],[2532,95]) ).

cnf(19480,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X1)
    | hskp12
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[19479,1740,theory(equality)]) ).

cnf(19782,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp7
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[8342,5050]) ).

cnf(19783,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[19782,8616]) ).

cnf(19785,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[19783,12,theory(equality)]) ).

cnf(19867,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[19785,5050]) ).

cnf(19868,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[19867,8456]) ).

cnf(19976,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp24
    | ~ c2_1(a2468) ),
    inference(csr,[status(thm)],[17379,44]) ).

cnf(19980,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp30
    | hskp2
    | ~ hskp24 ),
    inference(spm,[status(thm)],[19976,9492,theory(equality)]) ).

cnf(20065,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | ~ hskp24 ),
    inference(csr,[status(thm)],[19980,2649]) ).

cnf(20070,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | ~ hskp17 ),
    inference(spm,[status(thm)],[20065,4177,theory(equality)]) ).

cnf(20101,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | hskp18
    | ~ hskp19 ),
    inference(spm,[status(thm)],[20070,3153,theory(equality)]) ).

cnf(20147,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2418)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2584,88]) ).

cnf(20148,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[20147,86]) ).

cnf(20150,negated_conjecture,
    ( hskp19
    | c1_1(a2404)
    | ~ hskp2
    | ~ hskp13
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,20148,theory(equality)]) ).

cnf(20151,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | ~ hskp3
    | ~ hskp13
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,20148,theory(equality)]) ).

cnf(20152,negated_conjecture,
    ( hskp19
    | c1_1(a2411)
    | ~ hskp7
    | ~ hskp13
    | ~ c0_1(a2411) ),
    inference(spm,[status(thm)],[110,20148,theory(equality)]) ).

cnf(20153,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp10
    | ~ hskp13
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,20148,theory(equality)]) ).

cnf(20155,negated_conjecture,
    ( hskp19
    | c1_1(a2425)
    | ~ hskp16
    | ~ hskp13
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,20148,theory(equality)]) ).

cnf(20175,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(X1)
    | hskp19
    | ~ c2_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1579,20148,theory(equality)]) ).

cnf(20260,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[20101,9601]) ).

cnf(20265,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | hskp1
    | hskp15
    | hskp2 ),
    inference(spm,[status(thm)],[14898,20260,theory(equality)]) ).

cnf(20271,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2420)
    | ~ hskp14
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2585,84]) ).

cnf(20273,negated_conjecture,
    ( hskp19
    | c1_1(a2404)
    | c0_1(a2420)
    | ~ hskp2
    | ~ hskp14
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,20271,theory(equality)]) ).

cnf(20276,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | c0_1(a2420)
    | ~ hskp10
    | ~ hskp14
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,20271,theory(equality)]) ).

cnf(20367,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[17380,40]) ).

cnf(20446,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2588,46]) ).

cnf(20448,negated_conjecture,
    ( hskp19
    | c1_1(a2404)
    | ~ hskp2
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,20446,theory(equality)]) ).

cnf(20451,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp10
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,20446,theory(equality)]) ).

cnf(20456,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c0_1(a2478) ),
    inference(spm,[status(thm)],[38,20446,theory(equality)]) ).

cnf(20557,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2589,39]) ).

cnf(20559,negated_conjecture,
    ( hskp19
    | c1_1(a2404)
    | ~ hskp2
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,20557,theory(equality)]) ).

cnf(20560,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | ~ hskp3
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,20557,theory(equality)]) ).

cnf(20562,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp10
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,20557,theory(equality)]) ).

cnf(20564,negated_conjecture,
    ( hskp19
    | c1_1(a2425)
    | ~ hskp16
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,20557,theory(equality)]) ).

cnf(20584,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(X1)
    | hskp19
    | ~ c2_1(X1)
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1579,20557,theory(equality)]) ).

cnf(20662,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2406)
    | ~ hskp28
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2590,28]) ).

cnf(20667,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | c0_1(a2406)
    | ~ hskp10
    | ~ hskp28
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,20662,theory(equality)]) ).

cnf(20751,negated_conjecture,
    ( hskp26
    | hskp15
    | hskp14
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[18910,1729]) ).

cnf(20752,negated_conjecture,
    ( hskp26
    | hskp15
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[20751,2647]) ).

cnf(20756,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp15
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[3329,20752,theory(equality)]) ).

cnf(20802,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp15
    | hskp3 ),
    inference(csr,[status(thm)],[20756,3111]) ).

cnf(20803,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp3 ),
    inference(csr,[status(thm)],[20802,16675]) ).

cnf(20977,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[17680,23]) ).

cnf(20978,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp24
    | hskp15
    | ~ hskp29 ),
    inference(spm,[status(thm)],[20977,4282,theory(equality)]) ).

cnf(20980,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp6
    | ~ hskp29 ),
    inference(csr,[status(thm)],[20978,1729]) ).

cnf(21231,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp30
    | ~ c2_1(a2450) ),
    inference(csr,[status(thm)],[17681,19]) ).

cnf(21232,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp25
    | hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[21231,3471,theory(equality)]) ).

cnf(21234,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp5
    | hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[21231,6043,theory(equality)]) ).

cnf(21235,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp19
    | hskp6 ),
    inference(csr,[status(thm)],[21232,14439]) ).

cnf(21236,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp19 ),
    inference(csr,[status(thm)],[21235,3111]) ).

cnf(21237,negated_conjecture,
    ( hskp15
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[1729,21236,theory(equality)]) ).

cnf(21241,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[4479,21236,theory(equality)]) ).

cnf(21246,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[7642,21236,theory(equality)]) ).

cnf(21250,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[14772,21236,theory(equality)]) ).

cnf(21251,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[14773,21236,theory(equality)]) ).

cnf(21271,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp11 ),
    inference(csr,[status(thm)],[21241,4385]) ).

cnf(21281,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,21250,theory(equality)]) ).

cnf(21283,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp12 ),
    inference(csr,[status(thm)],[21281,14439]) ).

cnf(21304,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | c3_1(X1)
    | ~ hskp3
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2630,126]) ).

cnf(21305,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp1
    | ~ hskp3
    | ~ c1_1(a2403)
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,21304,theory(equality)]) ).

cnf(21311,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp16
    | ~ hskp3
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,21304,theory(equality)]) ).

cnf(21315,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,21304,theory(equality)]) ).

cnf(21398,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp8
    | hskp1 ),
    inference(csr,[status(thm)],[21246,5697]) ).

cnf(21429,negated_conjecture,
    ( hskp23
    | hskp5
    | hskp1
    | ~ hskp30 ),
    inference(csr,[status(thm)],[21234,5892]) ).

cnf(21447,negated_conjecture,
    ( hskp14
    | c1_1(a2411)
    | c3_1(X1)
    | ~ hskp7
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2631,110]) ).

cnf(21448,negated_conjecture,
    ( hskp14
    | c3_1(X1)
    | ~ hskp7
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[21447,111]) ).

cnf(21451,negated_conjecture,
    ( hskp14
    | ~ hskp3
    | ~ hskp7
    | ~ c1_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,21448,theory(equality)]) ).

cnf(21455,negated_conjecture,
    ( hskp14
    | ~ hskp16
    | ~ hskp7
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,21448,theory(equality)]) ).

cnf(21459,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp7
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,21448,theory(equality)]) ).

cnf(21466,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1565,21448,theory(equality)]) ).

cnf(21608,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp31
    | ~ c2_1(a2498) ),
    inference(csr,[status(thm)],[17682,15]) ).

cnf(21609,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp31 ),
    inference(csr,[status(thm)],[21608,14]) ).

cnf(21610,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp27
    | hskp25 ),
    inference(spm,[status(thm)],[21609,13,theory(equality)]) ).

cnf(21611,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp25
    | hskp23
    | hskp6 ),
    inference(spm,[status(thm)],[12092,21610,theory(equality)]) ).

cnf(21618,negated_conjecture,
    ( hskp28
    | hskp23
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[21611,11998]) ).

cnf(21619,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp23
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[2247,21618,theory(equality)]) ).

cnf(21627,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp23
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[12410,21618,theory(equality)]) ).

cnf(21650,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[21619,1729]) ).

cnf(21651,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[21650,2647]) ).

cnf(21750,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | c3_1(X1)
    | ~ hskp25
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2638,38]) ).

cnf(21757,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | ~ hskp16
    | ~ hskp25
    | ~ c1_1(a2425)
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,21750,theory(equality)]) ).

cnf(21761,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | ~ hskp26
    | ~ hskp25
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,21750,theory(equality)]) ).

cnf(21935,negated_conjecture,
    ( hskp2
    | ~ hskp19
    | ~ hskp17
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[18753,62]) ).

cnf(22012,negated_conjecture,
    ( hskp2
    | c0_1(a2455)
    | ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[18755,48]) ).

cnf(22013,negated_conjecture,
    ( hskp2
    | ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[22012,46]) ).

cnf(22014,negated_conjecture,
    ( hskp2
    | hskp18
    | ~ hskp23
    | ~ hskp8 ),
    inference(spm,[status(thm)],[22013,2803,theory(equality)]) ).

cnf(22308,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | c2_1(a2416)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2667,95]) ).

cnf(22309,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[22308,94]) ).

cnf(22487,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp12
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[20265,12350]) ).

cnf(22488,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[22487,14912]) ).

cnf(22616,negated_conjecture,
    ( hskp10
    | c1_1(a2417)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2417)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2673,1635]) ).

cnf(22620,negated_conjecture,
    ( hskp10
    | c1_1(a2417)
    | c0_1(a2417)
    | ~ c2_1(a2417)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[22616,92,theory(equality)]) ).

cnf(22735,negated_conjecture,
    ( hskp10
    | c1_1(a2427)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2675,72]) ).

cnf(22736,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[22735,70]) ).

cnf(22740,negated_conjecture,
    ( hskp10
    | c1_1(a2417)
    | c0_1(a2417)
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[22736,92,theory(equality)]) ).

cnf(22742,negated_conjecture,
    ( hskp10
    | c1_1(a2427)
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[22736,71,theory(equality)]) ).

cnf(22794,negated_conjecture,
    ( hskp10
    | c0_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[22742,70]) ).

cnf(22798,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1942,22794,theory(equality)]) ).

cnf(22827,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp10
    | hskp15
    | ~ hskp19 ),
    inference(spm,[status(thm)],[22798,3153,theory(equality)]) ).

cnf(22870,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp10
    | ~ hskp19 ),
    inference(csr,[status(thm)],[22827,14729]) ).

cnf(22876,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp13
    | ~ c2_1(a2418) ),
    inference(csr,[status(thm)],[19235,88]) ).

cnf(22877,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[22876,87]) ).

cnf(22881,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp16
    | ~ hskp19 ),
    inference(spm,[status(thm)],[22877,6514,theory(equality)]) ).

cnf(22896,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp6 ),
    inference(csr,[status(thm)],[22881,9290]) ).

cnf(22897,negated_conjecture,
    ( hskp26
    | hskp21
    | hskp6 ),
    inference(spm,[status(thm)],[6237,22896,theory(equality)]) ).

cnf(22912,negated_conjecture,
    ( hskp21
    | hskp5
    | hskp1
    | hskp6 ),
    inference(spm,[status(thm)],[6026,22897,theory(equality)]) ).

cnf(22948,negated_conjecture,
    ( hskp21
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[22912,5892]) ).

cnf(22954,negated_conjecture,
    ( hskp10
    | c1_1(a2455)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp23
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2678,48]) ).

cnf(22963,negated_conjecture,
    ( hskp10
    | c1_1(a2455)
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[22954,47,theory(equality)]) ).

cnf(23044,negated_conjecture,
    ( hskp10
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[22963,46]) ).

cnf(23046,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[3954,23044,theory(equality)]) ).

cnf(23048,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5720,23044,theory(equality)]) ).

cnf(23049,negated_conjecture,
    ( hskp20
    | hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[14771,23044,theory(equality)]) ).

cnf(23110,negated_conjecture,
    ( hskp10
    | c1_1(a2409)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2680,23]) ).

cnf(23114,negated_conjecture,
    ( hskp10
    | c1_1(a2409)
    | c1_1(a2417)
    | c0_1(a2417)
    | ~ hskp29
    | ~ hskp12 ),
    inference(spm,[status(thm)],[23110,92,theory(equality)]) ).

cnf(23208,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp1
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[23048,2285,theory(equality)]) ).

cnf(23209,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp1
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[23048,2646,theory(equality)]) ).

cnf(23403,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp18
    | hskp17
    | ~ hskp15
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[78,2715,theory(equality)]) ).

cnf(23478,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp17
    | hskp14
    | c2_1(a2422)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2720,80]) ).

cnf(23479,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp17
    | hskp14
    | ~ hskp15 ),
    inference(csr,[status(thm)],[23478,78]) ).

cnf(23668,negated_conjecture,
    ( hskp26
    | hskp18
    | hskp17
    | hskp6
    | c2_1(a2403)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2724,136]) ).

cnf(23669,negated_conjecture,
    ( hskp26
    | hskp18
    | hskp17
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[23668,135]) ).

cnf(23670,negated_conjecture,
    ( hskp12
    | hskp26
    | hskp18
    | hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1845,23669,theory(equality)]) ).

cnf(23757,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp6
    | hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[23209,23208,theory(equality)]) ).

cnf(24059,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[23757,16553]) ).

cnf(24114,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2731,91]) ).

cnf(24117,negated_conjecture,
    ( hskp5
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(spm,[status(thm)],[91,24114,theory(equality)]) ).

cnf(24180,negated_conjecture,
    ( hskp5
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[24117,90]) ).

cnf(24181,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[24180,7291,theory(equality)]) ).

cnf(24187,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[9022,24181,theory(equality)]) ).

cnf(24196,negated_conjecture,
    ( hskp19
    | hskp10
    | hskp5
    | hskp11 ),
    inference(spm,[status(thm)],[24187,9091,theory(equality)]) ).

cnf(24228,negated_conjecture,
    ( hskp19
    | hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[24196,9041]) ).

cnf(24286,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2734,62]) ).

cnf(24288,negated_conjecture,
    ( hskp5
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,24286,theory(equality)]) ).

cnf(24298,negated_conjecture,
    ( hskp5
    | c1_1(a2500)
    | ~ hskp27
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ c2_1(a2500) ),
    inference(spm,[status(thm)],[32,24286,theory(equality)]) ).

cnf(24414,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(a2455)
    | c0_1(X1)
    | ~ hskp23
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2736,48]) ).

cnf(24415,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp23
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[24414,46]) ).

cnf(24417,negated_conjecture,
    ( hskp5
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp23
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,24415,theory(equality)]) ).

cnf(24424,negated_conjecture,
    ( hskp5
    | c1_1(a2455)
    | ~ hskp23
    | ~ c2_1(a2455) ),
    inference(spm,[status(thm)],[46,24415,theory(equality)]) ).

cnf(24480,negated_conjecture,
    ( hskp5
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[24424,48]) ).

cnf(24484,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp5
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5720,24480,theory(equality)]) ).

cnf(24485,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp23 ),
    inference(spm,[status(thm)],[14771,24480,theory(equality)]) ).

cnf(24487,negated_conjecture,
    ( hskp20
    | hskp5
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[24485,2646,theory(equality)]) ).

cnf(24629,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[24484,21429,theory(equality)]) ).

cnf(24675,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp5
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[24487,12227,theory(equality)]) ).

cnf(24770,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp1
    | hskp19 ),
    inference(spm,[status(thm)],[24629,14444,theory(equality)]) ).

cnf(24776,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[24770,5697]) ).

cnf(24944,negated_conjecture,
    ( hskp20
    | hskp5
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[24675,5892]) ).

cnf(24999,negated_conjecture,
    ( hskp20
    | hskp5
    | hskp1
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[24944,22870,theory(equality)]) ).

cnf(25014,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp13
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[135,2769,theory(equality)]) ).

cnf(25334,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[24999,24228]) ).

cnf(25349,negated_conjecture,
    ( hskp26
    | hskp16
    | hskp13
    | hskp6
    | c2_1(a2403)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2778,136]) ).

cnf(25350,negated_conjecture,
    ( hskp26
    | hskp16
    | hskp13
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[25349,135]) ).

cnf(25394,negated_conjecture,
    ( hskp29
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19318,104]) ).

cnf(25395,negated_conjecture,
    ( hskp29
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[25394,102]) ).

cnf(25396,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2048,25395,theory(equality)]) ).

cnf(25409,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | hskp20
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[12827,25396,theory(equality)]) ).

cnf(25622,negated_conjecture,
    ( hskp29
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19319,90]) ).

cnf(25721,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[21627,2283]) ).

cnf(25722,negated_conjecture,
    ( hskp14
    | hskp11
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[25721,7874]) ).

cnf(25724,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[2648,25722,theory(equality)]) ).

cnf(25737,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[25724,7874]) ).

cnf(25740,negated_conjecture,
    ( hskp7
    | hskp11
    | hskp6
    | ~ hskp19 ),
    inference(spm,[status(thm)],[17442,25737,theory(equality)]) ).

cnf(25741,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[25740,8656]) ).

cnf(25767,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2422)
    | c0_1(X1)
    | ~ hskp15
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2786,80]) ).

cnf(25831,negated_conjecture,
    ( hskp29
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19325,48]) ).

cnf(25833,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp29
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3954,25831,theory(equality)]) ).

cnf(25835,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp29
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[5720,25831,theory(equality)]) ).

cnf(25836,negated_conjecture,
    ( hskp20
    | hskp29
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[14771,25831,theory(equality)]) ).

cnf(25837,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2048,25836,theory(equality)]) ).

cnf(25879,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2432)
    | c0_1(X1)
    | ~ hskp19
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2788,64]) ).

cnf(25880,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp19
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[25879,62]) ).

cnf(25882,negated_conjecture,
    ( hskp4
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp19
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,25880,theory(equality)]) ).

cnf(25883,negated_conjecture,
    ( hskp4
    | c1_1(a2417)
    | ~ hskp12
    | ~ hskp19
    | ~ c2_1(a2417) ),
    inference(spm,[status(thm)],[91,25880,theory(equality)]) ).

cnf(25891,negated_conjecture,
    ( hskp4
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp19
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[39,25880,theory(equality)]) ).

cnf(25892,negated_conjecture,
    ( hskp4
    | c1_1(a2500)
    | ~ hskp27
    | ~ hskp19
    | ~ c2_1(a2500) ),
    inference(spm,[status(thm)],[32,25880,theory(equality)]) ).

cnf(25949,negated_conjecture,
    ( hskp29
    | hskp1
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[25835,25395]) ).

cnf(26067,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp20
    | ~ c2_1(X1)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[2789,59]) ).

cnf(26069,negated_conjecture,
    ( hskp4
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp20
    | ~ c2_1(a2413)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[103,26067,theory(equality)]) ).

cnf(26070,negated_conjecture,
    ( hskp4
    | c1_1(a2417)
    | ~ hskp12
    | ~ hskp20
    | ~ c2_1(a2417)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[91,26067,theory(equality)]) ).

cnf(26078,negated_conjecture,
    ( hskp4
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp20
    | ~ c2_1(a2478)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[39,26067,theory(equality)]) ).

cnf(26142,negated_conjecture,
    ( hskp29
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19327,40]) ).

cnf(26143,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp29
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2324,26142,theory(equality)]) ).

cnf(26145,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp29
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[20367,26142,theory(equality)]) ).

cnf(26169,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[2790,46]) ).

cnf(26171,negated_conjecture,
    ( hskp4
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp23
    | ~ c2_1(a2413)
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[103,26169,theory(equality)]) ).

cnf(26180,negated_conjecture,
    ( hskp4
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp23
    | ~ c2_1(a2478)
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[39,26169,theory(equality)]) ).

cnf(26400,negated_conjecture,
    ( hskp19
    | ~ hskp13
    | ~ hskp2
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[20150,132]) ).

cnf(26408,negated_conjecture,
    ( hskp19
    | hskp28
    | hskp3
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[26400,11627,theory(equality)]) ).

cnf(26431,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp19
    | hskp3
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2996,26408,theory(equality)]) ).

cnf(26441,negated_conjecture,
    ( hskp10
    | hskp19
    | hskp3
    | ~ hskp26
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[13562,26408,theory(equality)]) ).

cnf(26490,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[20151,128]) ).

cnf(26605,negated_conjecture,
    ( hskp19
    | ~ hskp13
    | ~ hskp7
    | ~ c0_1(a2411) ),
    inference(csr,[status(thm)],[20152,111]) ).

cnf(26609,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | c1_1(a2411)
    | ~ hskp13
    | ~ hskp7
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[26605,1609,theory(equality)]) ).

cnf(26613,negated_conjecture,
    ( hskp19
    | hskp28
    | hskp3
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[26605,11665,theory(equality)]) ).

cnf(26656,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[20153,100]) ).

cnf(26657,negated_conjecture,
    ( hskp19
    | ~ hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[26656,99]) ).

cnf(26658,negated_conjecture,
    ( hskp19
    | hskp16
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[26657,6422,theory(equality)]) ).

cnf(26661,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp12
    | ~ hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[26657,6548,theory(equality)]) ).

cnf(26665,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp10
    | ~ hskp18 ),
    inference(spm,[status(thm)],[26657,12826,theory(equality)]) ).

cnf(26668,negated_conjecture,
    ( hskp19
    | hskp26
    | hskp16
    | hskp6
    | ~ hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[26657,25350,theory(equality)]) ).

cnf(26671,negated_conjecture,
    ( hskp19
    | hskp5
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[9022,26658,theory(equality)]) ).

cnf(26673,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp19
    | ~ hskp15
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[14056,26658,theory(equality)]) ).

cnf(26794,negated_conjecture,
    ( hskp19
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[26671,24228]) ).

cnf(26805,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp20
    | hskp11 ),
    inference(spm,[status(thm)],[26794,9851,theory(equality)]) ).

cnf(26831,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp12
    | ~ hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[9022,26661,theory(equality)]) ).

cnf(26835,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,2826,theory(equality)]) ).

cnf(26971,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp5
    | ~ hskp20 ),
    inference(csr,[status(thm)],[26831,24228]) ).

cnf(27003,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp5
    | hskp10
    | hskp1 ),
    inference(spm,[status(thm)],[26971,25334,theory(equality)]) ).

cnf(27124,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[27003,24228]) ).

cnf(27125,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp5 ),
    inference(csr,[status(thm)],[27124,9053]) ).

cnf(27133,negated_conjecture,
    ( hskp19
    | c1_1(a2425)
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[20155,76]) ).

cnf(27136,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3249,27133,theory(equality)]) ).

cnf(27140,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp19
    | ~ hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[10137,27133,theory(equality)]) ).

cnf(27141,negated_conjecture,
    ( hskp10
    | hskp19
    | ~ hskp28
    | ~ hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[13459,27133,theory(equality)]) ).

cnf(27149,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | ~ hskp16
    | ~ hskp18 ),
    inference(spm,[status(thm)],[27136,12826,theory(equality)]) ).

cnf(27200,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | ~ hskp16
    | ~ hskp18 ),
    inference(spm,[status(thm)],[27140,12826,theory(equality)]) ).

cnf(27204,negated_conjecture,
    ( hskp19
    | ~ hskp28
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[27141,26657]) ).

cnf(27205,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp3
    | ~ hskp16
    | ~ hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[27204,3717,theory(equality)]) ).

cnf(27209,negated_conjecture,
    ( hskp19
    | hskp9
    | ~ hskp16
    | ~ hskp13
    | ~ hskp23 ),
    inference(spm,[status(thm)],[27204,4753,theory(equality)]) ).

cnf(27224,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp16
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27204,26613,theory(equality)]) ).

cnf(27240,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | hskp10
    | ~ hskp18 ),
    inference(spm,[status(thm)],[27149,7223,theory(equality)]) ).

cnf(27366,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | ~ hskp18
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[27200,26658,theory(equality)]) ).

cnf(27374,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp1
    | ~ hskp23
    | ~ hskp16
    | ~ hskp18 ),
    inference(spm,[status(thm)],[27209,12826,theory(equality)]) ).

cnf(27394,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp1
    | ~ hskp16
    | ~ hskp7
    | ~ hskp18 ),
    inference(spm,[status(thm)],[27224,12826,theory(equality)]) ).

cnf(27398,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[27240,26665]) ).

cnf(27406,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | hskp20
    | ~ hskp30 ),
    inference(spm,[status(thm)],[27398,3472,theory(equality)]) ).

cnf(27479,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp1 ),
    inference(csr,[status(thm)],[27406,14439]) ).

cnf(27597,negated_conjecture,
    ( hskp14
    | ~ hskp7
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[21451,128]) ).

cnf(27603,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2854,138]) ).

cnf(27607,negated_conjecture,
    ( hskp3
    | c1_1(a2411)
    | ~ hskp7
    | ~ c2_1(a2402)
    | ~ c2_1(a2411)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[110,27603,theory(equality)]) ).

cnf(27684,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp3
    | c1_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[18479,27603,theory(equality)]) ).

cnf(27713,negated_conjecture,
    ( hskp14
    | ~ hskp16
    | ~ hskp7
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[21455,76]) ).

cnf(27714,negated_conjecture,
    ( hskp14
    | hskp30
    | hskp21
    | ~ hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27713,6216,theory(equality)]) ).

cnf(27753,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp14
    | hskp6
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27714,22896,theory(equality)]) ).

cnf(27791,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp14
    | hskp6 ),
    inference(csr,[status(thm)],[27753,17632]) ).

cnf(27792,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp6 ),
    inference(csr,[status(thm)],[27791,5381]) ).

cnf(27793,negated_conjecture,
    ( hskp21
    | hskp6 ),
    inference(csr,[status(thm)],[27792,5411]) ).

cnf(27827,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp7
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[21459,36]) ).

cnf(27828,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[27827,35]) ).

cnf(27829,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2647,27828,theory(equality)]) ).

cnf(27830,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2648,27828,theory(equality)]) ).

cnf(27832,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | ~ hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[14777,27828,theory(equality)]) ).

cnf(27843,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp30
    | hskp19
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27829,12,theory(equality)]) ).

cnf(27846,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[27830,25741]) ).

cnf(27847,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[27846,7874]) ).

cnf(27848,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp8 ),
    inference(spm,[status(thm)],[27847,11,theory(equality)]) ).

cnf(27849,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[27847,12,theory(equality)]) ).

cnf(27851,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp18
    | hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[27847,23670,theory(equality)]) ).

cnf(27855,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp12
    | hskp11
    | hskp6 ),
    inference(spm,[status(thm)],[4180,27848,theory(equality)]) ).

cnf(27875,negated_conjecture,
    ( hskp19
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[27849,7875]) ).

cnf(27893,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2859,99]) ).

cnf(27898,negated_conjecture,
    ( hskp3
    | c1_1(a2414)
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(spm,[status(thm)],[98,27893,theory(equality)]) ).

cnf(27983,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[27855,7874]) ).

cnf(27993,negated_conjecture,
    ( hskp3
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[27898,99]) ).

cnf(28031,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[27832,19868]) ).

cnf(28033,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[28031,12,theory(equality)]) ).

cnf(28035,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | hskp18
    | ~ hskp1 ),
    inference(spm,[status(thm)],[28031,23670,theory(equality)]) ).

cnf(28036,negated_conjecture,
    ( hskp3
    | c1_1(a2437)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2861,55]) ).

cnf(28037,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[28036,54]) ).

cnf(28041,negated_conjecture,
    ( hskp3
    | c1_1(a2411)
    | ~ hskp7
    | ~ hskp21
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[110,28037,theory(equality)]) ).

cnf(28047,negated_conjecture,
    ( hskp3
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp21
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[38,28037,theory(equality)]) ).

cnf(28051,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c0_1(X1)
    | hskp3
    | ~ hskp21
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1635,28037,theory(equality)]) ).

cnf(28096,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | hskp3
    | ~ hskp30
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4690,28037,theory(equality)]) ).

cnf(28102,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | hskp3
    | ~ hskp30
    | ~ c2_1(a2450)
    | ~ hskp21
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[7068,28037,theory(equality)]) ).

cnf(28142,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[28033,17303]) ).

cnf(28180,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2863,23]) ).

cnf(28184,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | c1_1(a2411)
    | ~ hskp7
    | ~ hskp29
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[110,28180,theory(equality)]) ).

cnf(28190,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp29
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[38,28180,theory(equality)]) ).

cnf(28224,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | hskp3
    | c1_1(a2409)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1551,28180,theory(equality)]) ).

cnf(28227,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | hskp3
    | c1_1(a2409)
    | ~ c2_1(X2)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1559,28180,theory(equality)]) ).

cnf(28293,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[27843,14549]) ).

cnf(28294,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[28293,2649]) ).

cnf(28302,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp6 ),
    inference(spm,[status(thm)],[14432,28294,theory(equality)]) ).

cnf(28322,negated_conjecture,
    ( hskp18
    | hskp11
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[27851,7874]) ).

cnf(28364,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[28035,22488]) ).

cnf(28369,negated_conjecture,
    ( hskp20
    | hskp5
    | hskp1
    | hskp12
    | hskp6 ),
    inference(spm,[status(thm)],[24944,28364,theory(equality)]) ).

cnf(28375,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[28369,5892]) ).

cnf(28562,negated_conjecture,
    ( hskp10
    | c1_1(a2417)
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[22740,91]) ).

cnf(28563,negated_conjecture,
    ( hskp10
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[28562,90]) ).

cnf(28564,negated_conjecture,
    ( hskp10
    | hskp18
    | ~ hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[28563,2803,theory(equality)]) ).

cnf(28575,negated_conjecture,
    ( hskp10
    | hskp21
    | ~ hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[28563,23046,theory(equality)]) ).

cnf(29059,negated_conjecture,
    ( hskp2
    | c2_1(a2410)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp6
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2904,115]) ).

cnf(29060,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp6
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[29059,114]) ).

cnf(29063,negated_conjecture,
    ( hskp2
    | c1_1(a2405)
    | ~ hskp3
    | ~ hskp6
    | ~ c2_1(a2405) ),
    inference(spm,[status(thm)],[126,29060,theory(equality)]) ).

cnf(29064,negated_conjecture,
    ( hskp2
    | c1_1(a2411)
    | ~ hskp7
    | ~ hskp6
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[110,29060,theory(equality)]) ).

cnf(29065,negated_conjecture,
    ( hskp2
    | c1_1(a2414)
    | ~ hskp10
    | ~ hskp6
    | ~ c2_1(a2414) ),
    inference(spm,[status(thm)],[98,29060,theory(equality)]) ).

cnf(29070,negated_conjecture,
    ( hskp2
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp6
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[38,29060,theory(equality)]) ).

cnf(29095,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1529,29060,theory(equality)]) ).

cnf(29172,negated_conjecture,
    ( hskp5
    | c1_1(a2413)
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[24417,104]) ).

cnf(29173,negated_conjecture,
    ( hskp5
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[29172,102]) ).

cnf(29175,negated_conjecture,
    ( hskp5
    | hskp6
    | ~ hskp9
    | ~ hskp14 ),
    inference(spm,[status(thm)],[29173,2646,theory(equality)]) ).

cnf(29183,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp9
    | ~ hskp26 ),
    inference(spm,[status(thm)],[29173,5975,theory(equality)]) ).

cnf(29201,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp9
    | ~ hskp30 ),
    inference(spm,[status(thm)],[29173,21429,theory(equality)]) ).

cnf(29252,negated_conjecture,
    ( hskp6
    | hskp5
    | hskp1
    | ~ hskp9
    | ~ hskp18 ),
    inference(spm,[status(thm)],[29175,12227,theory(equality)]) ).

cnf(29295,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[29183,24776]) ).

cnf(29296,negated_conjecture,
    ( hskp5
    | hskp1
    | hskp11
    | hskp8 ),
    inference(spm,[status(thm)],[29295,11,theory(equality)]) ).

cnf(29319,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp30 ),
    inference(csr,[status(thm)],[29201,24776]) ).

cnf(29323,negated_conjecture,
    ( hskp5
    | hskp1
    | hskp19 ),
    inference(spm,[status(thm)],[29319,14444,theory(equality)]) ).

cnf(29329,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp16
    | ~ c2_1(X1)
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[2906,75]) ).

cnf(29416,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c0_1(X1)
    | hskp2
    | ~ hskp17
    | ~ hskp16
    | ~ c2_1(X1)
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[22736,29329,theory(equality)]) ).

cnf(29548,negated_conjecture,
    ( hskp6
    | hskp5
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[29252,24776]) ).

cnf(29549,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[29548,5892]) ).

cnf(29912,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp2
    | c2_1(X1)
    | c1_1(a2409)
    | c3_1(a2409)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2917,23,theory(equality)]) ).

cnf(29970,negated_conjecture,
    ( hskp4
    | c1_1(a2413)
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[25882,104]) ).

cnf(29971,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[29970,102]) ).

cnf(30049,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[25883,90]) ).

cnf(30259,negated_conjecture,
    ( hskp4
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[25891,40]) ).

cnf(30260,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp4
    | ~ hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2324,30259,theory(equality)]) ).

cnf(30288,negated_conjecture,
    ( hskp4
    | ~ hskp27
    | ~ hskp19
    | ~ c2_1(a2500) ),
    inference(csr,[status(thm)],[25892,31]) ).

cnf(30338,negated_conjecture,
    ( hskp16
    | hskp12
    | c1_1(a2413)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[26835,104]) ).

cnf(30339,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[30338,102]) ).

cnf(30505,negated_conjecture,
    ( hskp3
    | c1_1(a2411)
    | ~ hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[28041,112]) ).

cnf(30506,negated_conjecture,
    ( hskp3
    | ~ hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[30505,111]) ).

cnf(30639,negated_conjecture,
    ( hskp3
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp21 ),
    inference(csr,[status(thm)],[28047,40]) ).

cnf(30640,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp3
    | ~ hskp25
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2324,30639,theory(equality)]) ).

cnf(30761,negated_conjecture,
    ( hskp2
    | c1_1(a2405)
    | ~ hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[29063,127]) ).

cnf(30839,negated_conjecture,
    ( hskp2
    | c1_1(a2411)
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[29064,112]) ).

cnf(30840,negated_conjecture,
    ( hskp2
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[30839,111]) ).

cnf(30841,negated_conjecture,
    ( hskp2
    | ~ hskp10
    | ~ hskp6
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[29065,99]) ).

cnf(30842,negated_conjecture,
    ( hskp2
    | hskp30
    | hskp21
    | ~ hskp10
    | ~ hskp6 ),
    inference(spm,[status(thm)],[30841,6213,theory(equality)]) ).

cnf(30852,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp2
    | ~ hskp10 ),
    inference(csr,[status(thm)],[30842,27793]) ).

cnf(30853,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp2 ),
    inference(csr,[status(thm)],[30852,10005]) ).

cnf(30916,negated_conjecture,
    ( hskp2
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp6 ),
    inference(csr,[status(thm)],[29070,40]) ).

cnf(31160,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ c2_1(a2405)
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[9334,128]) ).

cnf(31161,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[31160,127]) ).

cnf(31162,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[31161,6742,theory(equality)]) ).

cnf(31163,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[31161,11328,theory(equality)]) ).

cnf(31164,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[31161,26490,theory(equality)]) ).

cnf(31165,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp3
    | ~ hskp6 ),
    inference(spm,[status(thm)],[31161,30761,theory(equality)]) ).

cnf(31186,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp1
    | ~ hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[31164,12826,theory(equality)]) ).

cnf(31792,negated_conjecture,
    ( hskp20
    | c2_1(a2432)
    | c0_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[12754,64]) ).

cnf(31793,negated_conjecture,
    ( hskp20
    | c2_1(a2432)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[31792,62]) ).

cnf(31794,negated_conjecture,
    ( hskp15
    | hskp20
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1701,31793,theory(equality)]) ).

cnf(31822,negated_conjecture,
    ( hskp20
    | ~ hskp19 ),
    inference(csr,[status(thm)],[31794,14729]) ).

cnf(31827,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp19 ),
    inference(spm,[status(thm)],[7491,31822,theory(equality)]) ).

cnf(31848,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp19 ),
    inference(csr,[status(thm)],[31827,17313]) ).

cnf(31955,negated_conjecture,
    ( hskp2
    | c1_1(a2455)
    | c0_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[18979,48]) ).

cnf(31956,negated_conjecture,
    ( hskp2
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[31955,46]) ).

cnf(31958,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[3954,31956,theory(equality)]) ).

cnf(31961,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[14771,31956,theory(equality)]) ).

cnf(31962,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[31961,2285,theory(equality)]) ).

cnf(31963,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[31961,2646,theory(equality)]) ).

cnf(32042,negated_conjecture,
    ( hskp21
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[31958,22013]) ).

cnf(32043,negated_conjecture,
    ( hskp21
    | hskp2
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[32042,2285,theory(equality)]) ).

cnf(32182,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp2
    | ~ hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[31963,27828,theory(equality)]) ).

cnf(32189,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp2
    | ~ hskp30 ),
    inference(spm,[status(thm)],[31963,31962,theory(equality)]) ).

cnf(32211,negated_conjecture,
    ( hskp21
    | hskp14
    | hskp2 ),
    inference(csr,[status(thm)],[32043,30853]) ).

cnf(32351,negated_conjecture,
    ( hskp2
    | c2_1(a2417)
    | c3_1(X1)
    | ~ hskp12
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3018,91]) ).

cnf(32352,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | ~ hskp12
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[32351,18638]) ).

cnf(32357,negated_conjecture,
    ( hskp2
    | ~ hskp10
    | ~ hskp12
    | ~ c2_1(a2414)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,32352,theory(equality)]) ).

cnf(32358,negated_conjecture,
    ( hskp2
    | ~ hskp14
    | ~ hskp12
    | ~ c2_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,32352,theory(equality)]) ).

cnf(32586,negated_conjecture,
    ( hskp2
    | c2_1(a2432)
    | c3_1(X1)
    | ~ hskp19
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3021,62]) ).

cnf(32591,negated_conjecture,
    ( hskp2
    | c2_1(a2432)
    | ~ hskp10
    | ~ hskp19
    | ~ c2_1(a2414)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,32586,theory(equality)]) ).

cnf(32789,negated_conjecture,
    ( hskp2
    | c2_1(a2435)
    | c3_1(X1)
    | ~ hskp20
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3022,59]) ).

cnf(32790,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | ~ hskp20
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[32789,58]) ).

cnf(32793,negated_conjecture,
    ( hskp2
    | ~ hskp3
    | ~ hskp20
    | ~ c2_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,32790,theory(equality)]) ).

cnf(32796,negated_conjecture,
    ( hskp2
    | ~ hskp14
    | ~ hskp20
    | ~ c2_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,32790,theory(equality)]) ).

cnf(32801,negated_conjecture,
    ( hskp2
    | ~ hskp26
    | ~ hskp20
    | ~ c2_1(a2484)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,32790,theory(equality)]) ).

cnf(32964,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp2
    | ~ hskp26 ),
    inference(csr,[status(thm)],[32182,19868]) ).

cnf(32966,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp2
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[32964,12,theory(equality)]) ).

cnf(32977,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[32966,31822]) ).

cnf(32978,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[32977,32189]) ).

cnf(33618,negated_conjecture,
    ( hskp2
    | ~ hskp12
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[32357,100]) ).

cnf(33632,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | ~ c2_1(a2402)
    | ~ c3_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3081,138]) ).

cnf(33634,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | ~ c2_1(a2402)
    | ~ hskp0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33632,119,theory(equality)]) ).

cnf(33636,negated_conjecture,
    ( c2_1(a2417)
    | hskp1
    | c1_1(a2417)
    | ~ c2_1(a2402)
    | ~ hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[33632,92,theory(equality)]) ).

cnf(33654,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | hskp14
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[33632,1629,theory(equality)]) ).

cnf(33713,negated_conjecture,
    ( hskp2
    | ~ hskp14
    | ~ hskp12
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[32358,83]) ).

cnf(33851,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[3084,90]) ).

cnf(33853,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33851,119,theory(equality)]) ).

cnf(33854,negated_conjecture,
    ( c2_1(a2416)
    | hskp1
    | c1_1(a2416)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[33851,96,theory(equality)]) ).

cnf(33980,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2427)
    | c1_1(X1)
    | ~ hskp17
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[3086,72]) ).

cnf(33981,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | ~ hskp17
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[33980,70]) ).

cnf(33982,negated_conjecture,
    ( c2_1(a2402)
    | hskp1
    | c1_1(a2402)
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[33981,139,theory(equality)]) ).

cnf(33983,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | ~ hskp17
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33981,119,theory(equality)]) ).

cnf(33984,negated_conjecture,
    ( c2_1(a2416)
    | hskp1
    | c1_1(a2416)
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[33981,96,theory(equality)]) ).

cnf(33985,negated_conjecture,
    ( c2_1(a2417)
    | hskp1
    | c1_1(a2417)
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[33981,92,theory(equality)]) ).

cnf(33989,negated_conjecture,
    ( c2_1(a2435)
    | hskp1
    | c1_1(a2435)
    | ~ hskp17
    | ~ hskp20 ),
    inference(spm,[status(thm)],[33981,60,theory(equality)]) ).

cnf(34084,negated_conjecture,
    ( hskp2
    | ~ hskp20
    | ~ hskp3
    | ~ c2_1(a2405) ),
    inference(csr,[status(thm)],[32793,128]) ).

cnf(34085,negated_conjecture,
    ( hskp2
    | ~ hskp20
    | ~ hskp3 ),
    inference(csr,[status(thm)],[34084,127]) ).

cnf(34119,negated_conjecture,
    ( hskp2
    | ~ hskp3
    | ~ hskp6 ),
    inference(spm,[status(thm)],[34085,31165,theory(equality)]) ).

cnf(34122,negated_conjecture,
    ( hskp2
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[34085,32978,theory(equality)]) ).

cnf(34149,negated_conjecture,
    ( hskp2
    | ~ hskp3 ),
    inference(csr,[status(thm)],[34122,34119]) ).

cnf(34155,negated_conjecture,
    ( hskp2
    | ~ hskp21
    | ~ hskp7 ),
    inference(spm,[status(thm)],[34149,30506,theory(equality)]) ).

cnf(34159,negated_conjecture,
    ( hskp2
    | hskp6
    | ~ hskp7 ),
    inference(spm,[status(thm)],[34155,27793,theory(equality)]) ).

cnf(34161,negated_conjecture,
    ( hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[34159,30840]) ).

cnf(34197,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2455)
    | c1_1(X1)
    | ~ hskp23
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[3089,48]) ).

cnf(34199,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2455)
    | c1_1(a2408)
    | ~ hskp23
    | ~ hskp5 ),
    inference(spm,[status(thm)],[34197,119,theory(equality)]) ).

cnf(34200,negated_conjecture,
    ( c2_1(a2416)
    | hskp1
    | c1_1(a2455)
    | c1_1(a2416)
    | ~ hskp23
    | ~ hskp11 ),
    inference(spm,[status(thm)],[34197,96,theory(equality)]) ).

cnf(34205,negated_conjecture,
    ( c2_1(a2435)
    | hskp1
    | c1_1(a2455)
    | c1_1(a2435)
    | ~ hskp23
    | ~ hskp20 ),
    inference(spm,[status(thm)],[34197,60,theory(equality)]) ).

cnf(34280,negated_conjecture,
    ( hskp2
    | ~ hskp20
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[32796,83]) ).

cnf(34343,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[3091,23]) ).

cnf(34428,negated_conjecture,
    ( hskp2
    | ~ hskp26
    | ~ hskp20
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[32801,36]) ).

cnf(34429,negated_conjecture,
    ( hskp2
    | ~ hskp26
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[34428,9737]) ).

cnf(34430,negated_conjecture,
    ( hskp2
    | hskp12
    | ~ hskp26
    | ~ hskp17 ),
    inference(spm,[status(thm)],[34429,1935,theory(equality)]) ).

cnf(34434,negated_conjecture,
    ( hskp2
    | hskp30
    | ~ hskp26 ),
    inference(spm,[status(thm)],[34429,9544,theory(equality)]) ).

cnf(34443,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp11
    | hskp8 ),
    inference(spm,[status(thm)],[34434,11,theory(equality)]) ).

cnf(34444,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp19 ),
    inference(spm,[status(thm)],[34434,12,theory(equality)]) ).

cnf(34486,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp18
    | ~ hskp26
    | ~ hskp20 ),
    inference(spm,[status(thm)],[34430,6298,theory(equality)]) ).

cnf(34635,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp2
    | hskp11
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[34486,11,theory(equality)]) ).

cnf(34643,negated_conjecture,
    ( c2_1(a2402)
    | hskp1
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33982,138]) ).

cnf(34644,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp1
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1894,34643,theory(equality)]) ).

cnf(34672,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp1
    | ~ hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[34644,2803,theory(equality)]) ).

cnf(34689,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp5
    | c2_1(a2416)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[3126,95]) ).

cnf(34690,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp5
    | ~ hskp11 ),
    inference(csr,[status(thm)],[34689,94]) ).

cnf(34694,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[34672,10527]) ).

cnf(34750,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | ~ hskp17
    | ~ hskp5 ),
    inference(csr,[status(thm)],[33983,118]) ).

cnf(34751,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2098,34750,theory(equality)]) ).

cnf(34752,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | ~ hskp17
    | ~ hskp5 ),
    inference(spm,[status(thm)],[3109,34750,theory(equality)]) ).

cnf(34758,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | hskp18
    | ~ hskp5
    | ~ hskp8 ),
    inference(spm,[status(thm)],[34751,2803,theory(equality)]) ).

cnf(34773,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[34752,9]) ).

cnf(34774,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[34773,2803,theory(equality)]) ).

cnf(34791,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3133,138]) ).

cnf(34792,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2403)
    | ~ hskp1
    | ~ c1_1(a2403)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[134,34791,theory(equality)]) ).

cnf(34798,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2425)
    | ~ hskp16
    | ~ c1_1(a2425)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[74,34791,theory(equality)]) ).

cnf(34799,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2428)
    | ~ hskp18
    | ~ c1_1(a2428)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[66,34791,theory(equality)]) ).

cnf(34800,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2468)
    | ~ hskp24
    | ~ c1_1(a2468)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[42,34791,theory(equality)]) ).

cnf(34802,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2484)
    | ~ hskp26
    | ~ c1_1(a2484)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[34,34791,theory(equality)]) ).

cnf(34809,negated_conjecture,
    ( hskp23
    | hskp14
    | c2_1(a2402)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1565,34791,theory(equality)]) ).

cnf(34869,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp6
    | c2_1(X1)
    | c0_1(X1)
    | hskp23
    | c2_1(a2402)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2420,34791,theory(equality)]) ).

cnf(34884,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[34774,27398]) ).

cnf(34896,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | hskp9 ),
    inference(spm,[status(thm)],[34884,21398,theory(equality)]) ).

cnf(34897,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | hskp20
    | hskp9 ),
    inference(spm,[status(thm)],[34884,21251,theory(equality)]) ).

cnf(34903,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[34896,5697]) ).

cnf(34911,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp1 ),
    inference(csr,[status(thm)],[34897,27479]) ).

cnf(34912,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp1 ),
    inference(csr,[status(thm)],[34911,31822]) ).

cnf(35029,negated_conjecture,
    ( hskp23
    | c2_1(a2416)
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3135,95]) ).

cnf(35030,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[35029,94]) ).

cnf(35031,negated_conjecture,
    ( hskp23
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp11
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,35030,theory(equality)]) ).

cnf(35037,negated_conjecture,
    ( hskp23
    | c2_1(a2425)
    | ~ hskp16
    | ~ hskp11
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,35030,theory(equality)]) ).

cnf(35038,negated_conjecture,
    ( hskp23
    | c2_1(a2428)
    | ~ hskp18
    | ~ hskp11
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[66,35030,theory(equality)]) ).

cnf(35039,negated_conjecture,
    ( hskp23
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp11
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,35030,theory(equality)]) ).

cnf(35041,negated_conjecture,
    ( hskp23
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp11
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,35030,theory(equality)]) ).

cnf(35055,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(X1)
    | hskp23
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1575,35030,theory(equality)]) ).

cnf(35130,negated_conjecture,
    ( c2_1(a2416)
    | hskp1
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[33984,95]) ).

cnf(35131,negated_conjecture,
    ( hskp1
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35130,94]) ).

cnf(35132,negated_conjecture,
    ( hskp1
    | hskp18
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[35131,2803,theory(equality)]) ).

cnf(35136,negated_conjecture,
    ( hskp1
    | hskp21
    | ~ hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[35131,3886,theory(equality)]) ).

cnf(35137,negated_conjecture,
    ( hskp1
    | hskp21
    | hskp12
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[35131,3909,theory(equality)]) ).

cnf(35138,negated_conjecture,
    ( hskp1
    | hskp21
    | hskp12
    | ~ hskp11
    | ~ hskp23 ),
    inference(spm,[status(thm)],[35131,3955,theory(equality)]) ).

cnf(35139,negated_conjecture,
    ( hskp1
    | hskp18
    | hskp12
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[35131,6298,theory(equality)]) ).

cnf(35144,negated_conjecture,
    ( hskp1
    | hskp23
    | hskp18
    | hskp14
    | ~ hskp11
    | ~ hskp15 ),
    inference(spm,[status(thm)],[35131,23479,theory(equality)]) ).

cnf(35152,negated_conjecture,
    ( hskp18
    | hskp1
    | hskp9
    | hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[35132,11783,theory(equality)]) ).

cnf(35164,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[35136,4385]) ).

cnf(35165,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp1
    | ~ c2_1(X2)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[8838,35164,theory(equality)]) ).

cnf(35174,negated_conjecture,
    ( hskp23
    | c2_1(a2417)
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3136,90]) ).

cnf(35175,negated_conjecture,
    ( hskp23
    | c2_1(a2417)
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp12
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,35174,theory(equality)]) ).

cnf(35267,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[35137,4386]) ).

cnf(35268,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp20 ),
    inference(csr,[status(thm)],[35267,3910]) ).

cnf(35289,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp19
    | hskp11
    | hskp5 ),
    inference(spm,[status(thm)],[35268,26805,theory(equality)]) ).

cnf(35327,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[35138,4479]) ).

cnf(35328,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp23 ),
    inference(csr,[status(thm)],[35327,3956]) ).

cnf(35350,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp25
    | hskp19 ),
    inference(spm,[status(thm)],[35328,21236,theory(equality)]) ).

cnf(35361,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp12 ),
    inference(csr,[status(thm)],[35350,31848]) ).

cnf(35419,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp12
    | hskp5 ),
    inference(csr,[status(thm)],[35289,27125]) ).

cnf(35420,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp5 ),
    inference(csr,[status(thm)],[35419,31848]) ).

cnf(35424,negated_conjecture,
    ( hskp18
    | hskp12
    | ~ hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35139,6299]) ).

cnf(35427,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp12
    | ~ hskp10
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[26665,35424,theory(equality)]) ).

cnf(35429,negated_conjecture,
    ( hskp5
    | hskp1
    | hskp12
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[29549,35424,theory(equality)]) ).

cnf(35431,negated_conjecture,
    ( hskp23
    | c2_1(X1)
    | c1_1(a2435)
    | c3_1(X1)
    | ~ hskp20
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3140,58]) ).

cnf(35432,negated_conjecture,
    ( hskp23
    | c2_1(a2403)
    | c1_1(a2435)
    | ~ hskp1
    | ~ hskp20
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,35431,theory(equality)]) ).

cnf(35595,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[35152,10460]) ).

cnf(35598,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp9
    | hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26665,35595,theory(equality)]) ).

cnf(35671,negated_conjecture,
    ( hskp12
    | hskp5
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35429,28375]) ).

cnf(35732,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[35598,24059]) ).

cnf(35733,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[35732,5697]) ).

cnf(35753,negated_conjecture,
    ( c2_1(a2417)
    | hskp1
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[33985,90]) ).

cnf(35754,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1698,35753,theory(equality)]) ).

cnf(35758,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp1
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4661,35753,theory(equality)]) ).

cnf(35769,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[18638,35753,theory(equality)]) ).

cnf(35772,negated_conjecture,
    ( hskp29
    | hskp1
    | ~ hskp12
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[25622,35753,theory(equality)]) ).

cnf(35780,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp19
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[30049,35753,theory(equality)]) ).

cnf(35799,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp18
    | ~ hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[35769,2803,theory(equality)]) ).

cnf(35831,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp9
    | hskp1
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2448,35758,theory(equality)]) ).

cnf(35843,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp14
    | hskp9
    | hskp1
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[15435,35758,theory(equality)]) ).

cnf(35845,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp19
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[16659,35758,theory(equality)]) ).

cnf(35933,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp1
    | hskp9
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[35799,8,theory(equality)]) ).

cnf(36035,negated_conjecture,
    ( hskp1
    | c1_1(a2435)
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[33989,58]) ).

cnf(36037,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[5698,36035,theory(equality)]) ).

cnf(36046,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp18
    | ~ hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[36037,2803,theory(equality)]) ).

cnf(36163,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[36046,34694]) ).

cnf(36164,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1
    | hskp7 ),
    inference(spm,[status(thm)],[36163,8,theory(equality)]) ).

cnf(36166,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1
    | hskp12
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[36163,7787,theory(equality)]) ).

cnf(36182,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp9
    | hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26665,36164,theory(equality)]) ).

cnf(36259,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[36182,5697]) ).

cnf(36365,negated_conjecture,
    ( hskp23
    | c2_1(a2403)
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[35031,136]) ).

cnf(36366,negated_conjecture,
    ( hskp23
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[36365,135]) ).

cnf(36367,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1729,36366,theory(equality)]) ).

cnf(36375,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[14772,36366,theory(equality)]) ).

cnf(36379,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp8
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[22014,36366,theory(equality)]) ).

cnf(36384,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[24485,36366,theory(equality)]) ).

cnf(36391,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[31961,36366,theory(equality)]) ).

cnf(36394,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[35328,36366,theory(equality)]) ).

cnf(36403,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[14432,36367,theory(equality)]) ).

cnf(36411,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17283,36375,theory(equality)]) ).

cnf(36480,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp30
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17283,36384,theory(equality)]) ).

cnf(36487,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp30
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17283,36391,theory(equality)]) ).

cnf(36612,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[36379,35132]) ).

cnf(36613,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp9
    | hskp7
    | ~ hskp11 ),
    inference(spm,[status(thm)],[36612,8,theory(equality)]) ).

cnf(36664,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp30
    | ~ hskp11 ),
    inference(csr,[status(thm)],[36480,29319]) ).

cnf(36731,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[36487,9300]) ).

cnf(36735,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp2
    | ~ hskp11 ),
    inference(csr,[status(thm)],[36613,34161]) ).

cnf(36846,negated_conjecture,
    ( hskp23
    | ~ hskp16
    | ~ hskp11
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[35037,75]) ).

cnf(36849,negated_conjecture,
    ( hskp23
    | hskp19
    | ~ hskp16
    | ~ hskp11
    | ~ hskp13 ),
    inference(spm,[status(thm)],[36846,27133,theory(equality)]) ).

cnf(36980,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp1
    | ~ hskp16
    | ~ hskp11
    | ~ hskp18 ),
    inference(spm,[status(thm)],[36849,12826,theory(equality)]) ).

cnf(37052,negated_conjecture,
    ( hskp23
    | ~ hskp18
    | ~ hskp11
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[35038,67]) ).

cnf(37081,negated_conjecture,
    ( hskp10
    | c2_1(a2407)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3224,123]) ).

cnf(37082,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[37081,122]) ).

cnf(37085,negated_conjecture,
    ( hskp10
    | c1_1(a2405)
    | ~ hskp3
    | ~ hskp4
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,37082,theory(equality)]) ).

cnf(37185,negated_conjecture,
    ( hskp23
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35039,44]) ).

cnf(37198,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp23
    | ~ hskp24
    | ~ hskp11 ),
    inference(spm,[status(thm)],[19976,37185,theory(equality)]) ).

cnf(37243,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[37198,1729]) ).

cnf(37248,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[37243,4177,theory(equality)]) ).

cnf(37276,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp18
    | ~ hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[37248,3153,theory(equality)]) ).

cnf(37457,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp6
    | ~ hskp11 ),
    inference(csr,[status(thm)],[37276,28294]) ).

cnf(37458,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[37457,27983]) ).

cnf(37464,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp1
    | hskp15
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[31186,37458,theory(equality)]) ).

cnf(37485,negated_conjecture,
    ( hskp10
    | c1_1(a2425)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp16
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3228,75]) ).

cnf(37492,negated_conjecture,
    ( hskp10
    | c1_1(a2425)
    | ~ hskp16
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,37485,theory(equality)]) ).

cnf(37593,negated_conjecture,
    ( hskp10
    | c1_1(a2425)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[37492,76]) ).

cnf(37594,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp17
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1893,37593,theory(equality)]) ).

cnf(37595,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp10
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2504,37593,theory(equality)]) ).

cnf(37599,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp10
    | ~ hskp16 ),
    inference(spm,[status(thm)],[9406,37593,theory(equality)]) ).

cnf(37600,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp10
    | ~ hskp16 ),
    inference(spm,[status(thm)],[10137,37593,theory(equality)]) ).

cnf(37601,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp16 ),
    inference(spm,[status(thm)],[13459,37593,theory(equality)]) ).

cnf(37602,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp16
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14055,37593,theory(equality)]) ).

cnf(37603,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27713,37593,theory(equality)]) ).

cnf(37604,negated_conjecture,
    ( hskp23
    | hskp10
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[36846,37593,theory(equality)]) ).

cnf(37607,negated_conjecture,
    ( hskp10
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp16
    | ~ hskp25 ),
    inference(spm,[status(thm)],[37601,3768,theory(equality)]) ).

cnf(37609,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp16
    | ~ hskp23 ),
    inference(spm,[status(thm)],[37601,4753,theory(equality)]) ).

cnf(37626,negated_conjecture,
    ( hskp10
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[37594,28563]) ).

cnf(37627,negated_conjecture,
    ( hskp10
    | hskp18
    | ~ hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[37626,2803,theory(equality)]) ).

cnf(37632,negated_conjecture,
    ( hskp10
    | hskp18
    | hskp12
    | ~ hskp16
    | ~ hskp20 ),
    inference(spm,[status(thm)],[37626,6298,theory(equality)]) ).

cnf(37881,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[37599,18639,theory(equality)]) ).

cnf(37895,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp2
    | hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[37599,30339,theory(equality)]) ).

cnf(37905,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp1
    | hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[37600,6861,theory(equality)]) ).

cnf(37913,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[37600,7261,theory(equality)]) ).

cnf(37943,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp12
    | hskp11
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[37602,6423,theory(equality)]) ).

cnf(37958,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp15
    | ~ hskp11 ),
    inference(spm,[status(thm)],[37602,7261,theory(equality)]) ).

cnf(37995,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[37603,6861,theory(equality)]) ).

cnf(38033,negated_conjecture,
    ( hskp23
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[37604,7261]) ).

cnf(38034,negated_conjecture,
    ( hskp15
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1729,38033,theory(equality)]) ).

cnf(38038,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5721,38033,theory(equality)]) ).

cnf(38048,negated_conjecture,
    ( hskp20
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[23049,38033,theory(equality)]) ).

cnf(38054,negated_conjecture,
    ( hskp21
    | hskp10
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[28575,38033,theory(equality)]) ).

cnf(38061,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[35328,38033,theory(equality)]) ).

cnf(38078,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp30
    | ~ hskp11 ),
    inference(spm,[status(thm)],[17283,38048,theory(equality)]) ).

cnf(38106,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[37609,38033,theory(equality)]) ).

cnf(38112,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp12
    | hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[37627,6423,theory(equality)]) ).

cnf(38127,negated_conjecture,
    ( hskp18
    | hskp10
    | ~ hskp8
    | ~ hskp11 ),
    inference(spm,[status(thm)],[37627,7261,theory(equality)]) ).

cnf(38274,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp2
    | hskp9 ),
    inference(spm,[status(thm)],[37881,10522,theory(equality)]) ).

cnf(38302,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp1
    | hskp30
    | hskp2 ),
    inference(spm,[status(thm)],[36259,38274,theory(equality)]) ).

cnf(38310,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[37958,38034]) ).

cnf(38314,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp10
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2648,37995,theory(equality)]) ).

cnf(38391,negated_conjecture,
    ( hskp21
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[38061,38054]) ).

cnf(38403,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[38078,38310]) ).

cnf(38409,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp11 ),
    inference(csr,[status(thm)],[38106,7261]) ).

cnf(38411,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[36259,38409,theory(equality)]) ).

cnf(38600,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp2
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3270,2285]) ).

cnf(38605,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp2
    | c2_1(a2410)
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[38600,116,theory(equality)]) ).

cnf(38786,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp10
    | hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[37632,6549,theory(equality)]) ).

cnf(38833,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[38302,9300]) ).

cnf(38834,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[38833,34161]) ).

cnf(39380,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp10
    | hskp2 ),
    inference(csr,[status(thm)],[37895,38834]) ).

cnf(39381,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp2 ),
    inference(csr,[status(thm)],[39380,37881]) ).

cnf(39465,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[37905,8649]) ).

cnf(39466,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp10
    | hskp1 ),
    inference(spm,[status(thm)],[7874,39465,theory(equality)]) ).

cnf(39469,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[39466,37913]) ).

cnf(39800,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[38038,15869]) ).

cnf(39915,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3299,138]) ).

cnf(39924,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c1_1(a2468)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[42,39915,theory(equality)]) ).

cnf(39925,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | c0_1(a2478)
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[38,39915,theory(equality)]) ).

cnf(40015,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[38112,38127]) ).

cnf(40016,negated_conjecture,
    ( hskp18
    | hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[40015,28564]) ).

cnf(40019,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp12
    | hskp11
    | hskp9
    | ~ hskp25 ),
    inference(spm,[status(thm)],[40016,7787,theory(equality)]) ).

cnf(40098,negated_conjecture,
    ( hskp4
    | c1_1(a2408)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3300,118]) ).

cnf(40107,negated_conjecture,
    ( hskp4
    | c1_1(a2408)
    | c0_1(a2468)
    | ~ hskp24
    | ~ hskp5
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,40098,theory(equality)]) ).

cnf(40215,negated_conjecture,
    ( hskp4
    | c2_1(a2416)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3301,95]) ).

cnf(40216,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[40215,94]) ).

cnf(40217,negated_conjecture,
    ( hskp4
    | c0_1(a2403)
    | ~ hskp1
    | ~ hskp11
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,40216,theory(equality)]) ).

cnf(40222,negated_conjecture,
    ( hskp4
    | c0_1(a2420)
    | ~ hskp14
    | ~ hskp11
    | ~ c1_1(a2420) ),
    inference(spm,[status(thm)],[82,40216,theory(equality)]) ).

cnf(40224,negated_conjecture,
    ( hskp4
    | c0_1(a2428)
    | ~ hskp18
    | ~ hskp11
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[66,40216,theory(equality)]) ).

cnf(40225,negated_conjecture,
    ( hskp4
    | c0_1(a2468)
    | ~ hskp24
    | ~ hskp11
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,40216,theory(equality)]) ).

cnf(40226,negated_conjecture,
    ( hskp4
    | c0_1(a2478)
    | ~ hskp25
    | ~ hskp11
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[38,40216,theory(equality)]) ).

cnf(40370,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3302,90]) ).

cnf(40371,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | c0_1(a2403)
    | ~ hskp1
    | ~ hskp12
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,40370,theory(equality)]) ).

cnf(40380,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | c0_1(a2478)
    | ~ hskp25
    | ~ hskp12
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[38,40370,theory(equality)]) ).

cnf(40514,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[38314,25741]) ).

cnf(40515,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[40514,38403]) ).

cnf(40516,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp10 ),
    inference(spm,[status(thm)],[7874,40515,theory(equality)]) ).

cnf(40565,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp20
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3306,58]) ).

cnf(40566,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | c0_1(a2403)
    | ~ hskp1
    | ~ hskp20
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,40565,theory(equality)]) ).

cnf(40575,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | c0_1(a2478)
    | ~ hskp25
    | ~ hskp20
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[38,40565,theory(equality)]) ).

cnf(40695,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp10
    | ~ hskp20 ),
    inference(csr,[status(thm)],[38786,35424]) ).

cnf(40697,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[12827,40695,theory(equality)]) ).

cnf(40951,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[40697,38403]) ).

cnf(41125,negated_conjecture,
    ( hskp23
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35041,35]) ).

cnf(41129,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2797,41125,theory(equality)]) ).

cnf(41130,negated_conjecture,
    ( hskp20
    | hskp23
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[9737,41125,theory(equality)]) ).

cnf(41155,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[41129,27847]) ).

cnf(41156,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1729,41155,theory(equality)]) ).

cnf(41165,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[14773,41155,theory(equality)]) ).

cnf(41195,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3349,17670]) ).

cnf(41196,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[41195,2646]) ).

cnf(41200,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1
    | ~ c1_1(a2408)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[41196,120,theory(equality)]) ).

cnf(41259,negated_conjecture,
    ( hskp15
    | hskp20
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1729,41130,theory(equality)]) ).

cnf(41267,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[14772,41130,theory(equality)]) ).

cnf(41276,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[24485,41130,theory(equality)]) ).

cnf(41278,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp0
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[25837,41130,theory(equality)]) ).

cnf(41283,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[31961,41130,theory(equality)]) ).

cnf(41400,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp30
    | hskp19
    | ~ hskp11 ),
    inference(spm,[status(thm)],[41267,12,theory(equality)]) ).

cnf(41409,negated_conjecture,
    ( hskp20
    | hskp5
    | hskp30
    | hskp19
    | ~ hskp11 ),
    inference(spm,[status(thm)],[41276,12,theory(equality)]) ).

cnf(41417,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp30
    | hskp19
    | ~ hskp11 ),
    inference(spm,[status(thm)],[41283,12,theory(equality)]) ).

cnf(41548,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp6
    | hskp30
    | hskp19 ),
    inference(spm,[status(thm)],[41165,12,theory(equality)]) ).

cnf(41616,negated_conjecture,
    ( hskp30
    | hskp6
    | c2_1(X1)
    | hskp1
    | c3_1(a2484)
    | ~ c1_1(X1)
    | ~ c0_1(a2484)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[3360,35,theory(equality)]) ).

cnf(41799,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp30
    | hskp19
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[41278,12,theory(equality)]) ).

cnf(41944,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[41400,31822]) ).

cnf(41945,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp30
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5699,41944,theory(equality)]) ).

cnf(41953,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp5 ),
    inference(csr,[status(thm)],[41409,9852]) ).

cnf(41954,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp5 ),
    inference(csr,[status(thm)],[41953,31822]) ).

cnf(41974,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp2 ),
    inference(csr,[status(thm)],[41417,34444]) ).

cnf(41975,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp2 ),
    inference(csr,[status(thm)],[41974,31822]) ).

cnf(42076,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[41945,15869]) ).

cnf(42160,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp11
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[10571,21271]) ).

cnf(42163,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3379,138]) ).

cnf(42455,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2427)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3384,72]) ).

cnf(42456,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[42455,70]) ).

cnf(42461,negated_conjecture,
    ( c2_1(a2428)
    | hskp1
    | c1_1(a2428)
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[68,42456,theory(equality)]) ).

cnf(42464,negated_conjecture,
    ( c2_1(a2453)
    | hskp1
    | c1_1(a2453)
    | ~ hskp22
    | ~ hskp17 ),
    inference(spm,[status(thm)],[52,42456,theory(equality)]) ).

cnf(42468,negated_conjecture,
    ( c2_1(a2500)
    | hskp1
    | c1_1(a2500)
    | ~ hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[32,42456,theory(equality)]) ).

cnf(42669,negated_conjecture,
    ( hskp10
    | c1_1(a2405)
    | ~ hskp4
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37085,128]) ).

cnf(42676,negated_conjecture,
    ( hskp20
    | hskp10
    | ~ hskp3
    | ~ hskp4 ),
    inference(spm,[status(thm)],[31161,42669,theory(equality)]) ).

cnf(42916,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[3389,23]) ).

cnf(43023,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp9
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[41548,31822]) ).

cnf(43024,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[43023,15118]) ).

cnf(43034,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | hskp6 ),
    inference(spm,[status(thm)],[15491,43024,theory(equality)]) ).

cnf(43160,negated_conjecture,
    ( hskp4
    | c0_1(a2403)
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[40217,136]) ).

cnf(43168,negated_conjecture,
    ( hskp25
    | hskp7
    | c2_1(a2403)
    | hskp4
    | ~ c1_1(a2403)
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1585,43160,theory(equality)]) ).

cnf(43186,negated_conjecture,
    ( hskp30
    | hskp4
    | ~ hskp15
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[13818,43160,theory(equality)]) ).

cnf(43263,negated_conjecture,
    ( hskp30
    | hskp4
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[43186,36367]) ).

cnf(43264,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[6124,43263,theory(equality)]) ).

cnf(43523,negated_conjecture,
    ( hskp4
    | c0_1(a2420)
    | ~ hskp14
    | ~ hskp11 ),
    inference(csr,[status(thm)],[40222,84]) ).

cnf(43559,negated_conjecture,
    ( hskp2
    | hskp4
    | ~ hskp20
    | ~ hskp14
    | ~ hskp11 ),
    inference(spm,[status(thm)],[34280,43523,theory(equality)]) ).

cnf(43610,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp14
    | c2_1(a2422)
    | hskp0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3432,80]) ).

cnf(43611,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp14
    | hskp0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[43610,78]) ).

cnf(44016,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp6
    | c2_1(a2403)
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[3436,136]) ).

cnf(44017,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[44016,135]) ).

cnf(44057,negated_conjecture,
    ( hskp4
    | ~ hskp18
    | ~ hskp11
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[40224,68]) ).

cnf(44058,negated_conjecture,
    ( hskp4
    | hskp28
    | hskp3
    | ~ hskp18
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44057,11802,theory(equality)]) ).

cnf(44190,negated_conjecture,
    ( hskp4
    | c0_1(a2468)
    | ~ hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[40225,44]) ).

cnf(44191,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[44190,43]) ).

cnf(44196,negated_conjecture,
    ( hskp4
    | hskp15
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[44191,4177,theory(equality)]) ).

cnf(44199,negated_conjecture,
    ( hskp4
    | hskp30
    | hskp21
    | hskp15
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[44191,6096,theory(equality)]) ).

cnf(44230,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp18
    | hskp12
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[44196,6298,theory(equality)]) ).

cnf(44369,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp11
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[40226,39]) ).

cnf(44370,negated_conjecture,
    ( hskp4
    | hskp16
    | hskp12
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44369,7039,theory(equality)]) ).

cnf(44372,negated_conjecture,
    ( hskp4
    | hskp7
    | hskp6
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44369,8599,theory(equality)]) ).

cnf(44374,negated_conjecture,
    ( hskp4
    | hskp28
    | hskp3
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44369,11996,theory(equality)]) ).

cnf(44375,negated_conjecture,
    ( hskp4
    | hskp29
    | ~ hskp25
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[44369,26142,theory(equality)]) ).

cnf(44377,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[44369,30259,theory(equality)]) ).

cnf(44400,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp4
    | ~ hskp25 ),
    inference(csr,[status(thm)],[44370,7040]) ).

cnf(44401,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp16
    | hskp12
    | ~ hskp25 ),
    inference(spm,[status(thm)],[6124,44400,theory(equality)]) ).

cnf(44407,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp16
    | hskp12
    | ~ hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[42676,44400,theory(equality)]) ).

cnf(44429,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp4
    | ~ hskp25 ),
    inference(csr,[status(thm)],[44372,25741]) ).

cnf(44464,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp3
    | hskp4
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[6397,44374,theory(equality)]) ).

cnf(44551,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp16
    | hskp12 ),
    inference(csr,[status(thm)],[44401,35361]) ).

cnf(44568,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[3448,91]) ).

cnf(44569,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[44568,90]) ).

cnf(44572,negated_conjecture,
    ( c2_1(a2417)
    | c1_1(a2417)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[91,44569,theory(equality)]) ).

cnf(44574,negated_conjecture,
    ( c2_1(a2428)
    | c1_1(a2428)
    | hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[68,44569,theory(equality)]) ).

cnf(44625,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(a2416)
    | c1_1(a2416)
    | hskp0
    | ~ hskp11
    | ~ c2_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[19479,44569,theory(equality)]) ).

cnf(44666,negated_conjecture,
    ( c2_1(a2417)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[44572,90]) ).

cnf(44667,negated_conjecture,
    ( hskp15
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1698,44666,theory(equality)]) ).

cnf(44668,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1533,44666,theory(equality)]) ).

cnf(44670,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4360,44666,theory(equality)]) ).

cnf(44671,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4661,44666,theory(equality)]) ).

cnf(44682,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[18638,44666,theory(equality)]) ).

cnf(44683,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[24180,44666,theory(equality)]) ).

cnf(44693,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[30049,44666,theory(equality)]) ).

cnf(44707,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[14432,44667,theory(equality)]) ).

cnf(44708,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp11
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[14593,44667,theory(equality)]) ).

cnf(44710,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2422)
    | c0_1(X1)
    | hskp0
    | ~ c2_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[25767,44667,theory(equality)]) ).

cnf(44716,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp21
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[44682,3721,theory(equality)]) ).

cnf(44728,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp11
    | hskp3
    | ~ hskp25
    | ~ hskp21 ),
    inference(spm,[status(thm)],[44682,30640,theory(equality)]) ).

cnf(44757,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp30
    | ~ hskp19 ),
    inference(spm,[status(thm)],[44683,17313,theory(equality)]) ).

cnf(44763,negated_conjecture,
    ( hskp5
    | hskp0
    | hskp19 ),
    inference(spm,[status(thm)],[44683,27125,theory(equality)]) ).

cnf(44772,negated_conjecture,
    ( hskp5
    | hskp0
    | hskp21 ),
    inference(spm,[status(thm)],[44683,35420,theory(equality)]) ).

cnf(44774,negated_conjecture,
    ( hskp5
    | hskp0
    | hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44683,35671,theory(equality)]) ).

cnf(44834,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | hskp9 ),
    inference(spm,[status(thm)],[44670,42160,theory(equality)]) ).

cnf(44865,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2996,44671,theory(equality)]) ).

cnf(44961,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp0
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[6124,44693,theory(equality)]) ).

cnf(44985,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp0
    | hskp21
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44707,22309,theory(equality)]) ).

cnf(45010,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2435)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3452,59]) ).

cnf(45017,negated_conjecture,
    ( c2_1(a2435)
    | c1_1(a2435)
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[59,45010,theory(equality)]) ).

cnf(45095,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3453,46]) ).

cnf(45100,negated_conjecture,
    ( c2_1(a2428)
    | c1_1(a2455)
    | c1_1(a2428)
    | hskp0
    | ~ hskp18
    | ~ hskp23 ),
    inference(spm,[status(thm)],[68,45095,theory(equality)]) ).

cnf(45103,negated_conjecture,
    ( c2_1(a2453)
    | c1_1(a2455)
    | c1_1(a2453)
    | hskp0
    | ~ hskp22
    | ~ hskp23 ),
    inference(spm,[status(thm)],[52,45095,theory(equality)]) ).

cnf(45172,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[44757,44763]) ).

cnf(45203,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[44865,36394,theory(equality)]) ).

cnf(45209,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0
    | hskp10
    | hskp1 ),
    inference(spm,[status(thm)],[44865,39800,theory(equality)]) ).

cnf(45233,negated_conjecture,
    ( c1_1(a2435)
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[45017,58]) ).

cnf(45234,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3908,45233,theory(equality)]) ).

cnf(45237,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[6297,45233,theory(equality)]) ).

cnf(45241,negated_conjecture,
    ( hskp29
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[11066,45233,theory(equality)]) ).

cnf(45253,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp11
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[4284,45241,theory(equality)]) ).

cnf(45258,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[4568,45241,theory(equality)]) ).

cnf(45298,negated_conjecture,
    ( hskp10
    | hskp21
    | hskp0
    | ~ hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[28563,45234,theory(equality)]) ).

cnf(45381,negated_conjecture,
    ( hskp1
    | hskp18
    | hskp0
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[35131,45237,theory(equality)]) ).

cnf(45392,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp18
    | hskp0
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[44196,45237,theory(equality)]) ).

cnf(45483,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[3460,44569]) ).

cnf(45542,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a2417)
    | c0_1(X1)
    | c0_1(a2417)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[45483,44666,theory(equality)]) ).

cnf(45603,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp11
    | ~ hskp12 ),
    inference(csr,[status(thm)],[44708,6097]) ).

cnf(45944,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp1
    | hskp21
    | hskp0 ),
    inference(spm,[status(thm)],[36259,45209,theory(equality)]) ).

cnf(45949,negated_conjecture,
    ( hskp21
    | hskp2
    | hskp0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[44716,34149]) ).

cnf(46379,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[45944,11396]) ).

cnf(46886,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[44961,31848]) ).

cnf(46889,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[44985,46886]) ).

cnf(46961,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[45203,46379]) ).

cnf(46962,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[46961,44834]) ).

cnf(47016,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp3
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,3540,theory(equality)]) ).

cnf(47133,negated_conjecture,
    ( hskp21
    | hskp10
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[45298,35268]) ).

cnf(47664,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp0
    | ~ hskp10
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[26665,45381,theory(equality)]) ).

cnf(48465,negated_conjecture,
    ( hskp1
    | c1_1(a2428)
    | ~ hskp18
    | ~ hskp17 ),
    inference(csr,[status(thm)],[42461,67]) ).

cnf(48466,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1930,48465,theory(equality)]) ).

cnf(48473,negated_conjecture,
    ( hskp23
    | hskp1
    | ~ hskp18
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[37052,48465,theory(equality)]) ).

cnf(48484,negated_conjecture,
    ( hskp12
    | ~ hskp18
    | ~ hskp17 ),
    inference(csr,[status(thm)],[48466,1845]) ).

cnf(48729,negated_conjecture,
    ( hskp23
    | hskp1
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[48473,35131]) ).

cnf(48730,negated_conjecture,
    ( hskp23
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[48729,36366]) ).

cnf(48731,negated_conjecture,
    ( hskp23
    | hskp18
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[48730,2803,theory(equality)]) ).

cnf(48732,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp15
    | ~ hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[48730,3153,theory(equality)]) ).

cnf(48735,negated_conjecture,
    ( hskp23
    | hskp21
    | ~ hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[48730,3886,theory(equality)]) ).

cnf(48742,negated_conjecture,
    ( hskp23
    | hskp26
    | hskp18
    | hskp6
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[48730,23669,theory(equality)]) ).

cnf(48744,negated_conjecture,
    ( hskp23
    | hskp21
    | hskp0
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[48730,45234,theory(equality)]) ).

cnf(48763,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp0
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[25837,48731,theory(equality)]) ).

cnf(48775,negated_conjecture,
    ( hskp23
    | hskp21
    | ~ hskp19 ),
    inference(csr,[status(thm)],[48735,4385]) ).

cnf(48798,negated_conjecture,
    ( hskp21
    | hskp2
    | ~ hskp19 ),
    inference(spm,[status(thm)],[32042,48775,theory(equality)]) ).

cnf(48897,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp18
    | hskp12
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3595,70]) ).

cnf(48898,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp18
    | hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[48897,1944]) ).

cnf(48899,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[48898,15432]) ).

cnf(48900,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[48899,48484]) ).

cnf(48961,negated_conjecture,
    ( hskp18
    | hskp15
    | ~ hskp19
    | ~ hskp11 ),
    inference(csr,[status(thm)],[48732,1729]) ).

cnf(49034,negated_conjecture,
    ( hskp23
    | hskp21
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[48744,45258]) ).

cnf(49056,negated_conjecture,
    ( hskp21
    | hskp2
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[32042,49034,theory(equality)]) ).

cnf(49104,negated_conjecture,
    ( hskp21
    | hskp2
    | hskp0
    | hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[49056,31163,theory(equality)]) ).

cnf(49374,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[48763,10527]) ).

cnf(49919,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[49104,46962]) ).

cnf(49920,negated_conjecture,
    ( hskp21
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[49919,45949]) ).

cnf(50059,negated_conjecture,
    ( c2_1(a2453)
    | hskp1
    | ~ hskp22
    | ~ hskp17 ),
    inference(csr,[status(thm)],[42464,51]) ).

cnf(50060,negated_conjecture,
    ( hskp1
    | ~ hskp22
    | ~ hskp17 ),
    inference(csr,[status(thm)],[50059,50]) ).

cnf(50064,negated_conjecture,
    ( hskp1
    | hskp5
    | ~ hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[50060,8720,theory(equality)]) ).

cnf(50082,negated_conjecture,
    ( hskp5
    | hskp1
    | hskp18
    | ~ hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[50064,2803,theory(equality)]) ).

cnf(50170,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[50082,29549]) ).

cnf(50171,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp8
    | ~ hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[50170,29971,theory(equality)]) ).

cnf(50335,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[50171,5697]) ).

cnf(50336,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[50335,29323]) ).

cnf(50346,negated_conjecture,
    ( hskp5
    | hskp1
    | hskp11 ),
    inference(spm,[status(thm)],[50336,29296,theory(equality)]) ).

cnf(50525,negated_conjecture,
    ( c2_1(a2500)
    | hskp1
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[42468,31]) ).

cnf(50551,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp27
    | ~ hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[30288,50525,theory(equality)]) ).

cnf(50720,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp25
    | hskp15
    | ~ hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[50551,16231,theory(equality)]) ).

cnf(50929,negated_conjecture,
    ( c1_1(a2428)
    | hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[44574,67]) ).

cnf(50933,negated_conjecture,
    ( hskp29
    | hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[10731,50929,theory(equality)]) ).

cnf(51670,negated_conjecture,
    ( hskp10
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[22620,91]) ).

cnf(51671,negated_conjecture,
    ( hskp10
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[51670,90]) ).

cnf(51672,negated_conjecture,
    ( hskp10
    | hskp16
    | ~ hskp12 ),
    inference(spm,[status(thm)],[51671,7291,theory(equality)]) ).

cnf(51685,negated_conjecture,
    ( hskp10
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[51671,44666,theory(equality)]) ).

cnf(51692,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[37595,51672,theory(equality)]) ).

cnf(51693,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[37602,51672,theory(equality)]) ).

cnf(51799,negated_conjecture,
    ( hskp10
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[51685,38403,theory(equality)]) ).

cnf(51801,negated_conjecture,
    ( hskp10
    | hskp0
    | hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[51685,39800,theory(equality)]) ).

cnf(51820,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp1
    | hskp0 ),
    inference(spm,[status(thm)],[36259,51801,theory(equality)]) ).

cnf(51822,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[51820,11396]) ).

cnf(51825,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[51692,40515]) ).

cnf(51832,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp10
    | hskp6 ),
    inference(spm,[status(thm)],[9739,51825,theory(equality)]) ).

cnf(52191,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp10 ),
    inference(csr,[status(thm)],[51832,3111]) ).

cnf(52192,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp10 ),
    inference(csr,[status(thm)],[52191,31822]) ).

cnf(53402,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[17715,1729]) ).

cnf(53412,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ c1_1(a2406)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[53402,27,theory(equality)]) ).

cnf(53474,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2402)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3730,140]) ).

cnf(53475,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ c2_1(a2402)
    | ~ c1_1(a2403)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[134,53474,theory(equality)]) ).

cnf(53481,negated_conjecture,
    ( c2_1(a2425)
    | ~ hskp16
    | ~ c2_1(a2402)
    | ~ c1_1(a2425)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[74,53474,theory(equality)]) ).

cnf(53482,negated_conjecture,
    ( c2_1(a2428)
    | ~ hskp18
    | ~ c2_1(a2402)
    | ~ c1_1(a2428)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[66,53474,theory(equality)]) ).

cnf(53483,negated_conjecture,
    ( c2_1(a2468)
    | ~ hskp24
    | ~ c2_1(a2402)
    | ~ c1_1(a2468)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[42,53474,theory(equality)]) ).

cnf(53485,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp26
    | ~ c2_1(a2402)
    | ~ c1_1(a2484)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[34,53474,theory(equality)]) ).

cnf(53580,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp28 ),
    inference(csr,[status(thm)],[53412,28]) ).

cnf(53745,negated_conjecture,
    ( c2_1(a2403)
    | ~ c2_1(a2402)
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53475,136]) ).

cnf(53746,negated_conjecture,
    ( ~ c2_1(a2402)
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53745,135]) ).

cnf(53747,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[53746,6092,theory(equality)]) ).

cnf(53749,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[53746,8692,theory(equality)]) ).

cnf(53766,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp5
    | ~ hskp1 ),
    inference(spm,[status(thm)],[53747,44772,theory(equality)]) ).

cnf(53779,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[53747,46886,theory(equality)]) ).

cnf(53895,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp5 ),
    inference(csr,[status(thm)],[53766,22948]) ).

cnf(53904,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp19 ),
    inference(csr,[status(thm)],[53779,35164]) ).

cnf(54023,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2402)
    | ~ c1_1(a2425)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53481,75]) ).

cnf(54024,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16
    | ~ c1_1(a2425)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[54023,6092,theory(equality)]) ).

cnf(54034,negated_conjecture,
    ( hskp1
    | ~ hskp16
    | ~ c1_1(a2425)
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[54023,34643,theory(equality)]) ).

cnf(54155,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16
    | ~ hskp0 ),
    inference(csr,[status(thm)],[54024,6216]) ).

cnf(54204,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp3
    | ~ c2_1(a2409)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3785,24]) ).

cnf(54205,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp3
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[54204,23]) ).

cnf(54206,negated_conjecture,
    ( c2_1(a2403)
    | c1_1(a2405)
    | ~ hskp1
    | ~ hskp29
    | ~ hskp3
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,54205,theory(equality)]) ).

cnf(54439,negated_conjecture,
    ( hskp1
    | hskp30
    | hskp21
    | ~ hskp17
    | ~ hskp16
    | ~ hskp0 ),
    inference(spm,[status(thm)],[54034,6216,theory(equality)]) ).

cnf(54553,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2402)
    | ~ c1_1(a2428)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53482,67]) ).

cnf(54639,negated_conjecture,
    ( c2_1(a2468)
    | ~ hskp24
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53483,44]) ).

cnf(54640,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp24
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2322,54639,theory(equality)]) ).

cnf(54688,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp22
    | hskp5
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[54640,8692,theory(equality)]) ).

cnf(54806,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp26
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53485,35]) ).

cnf(55123,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp7
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[21466,116,theory(equality)]) ).

cnf(55269,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[55123,115]) ).

cnf(55270,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1729,55269,theory(equality)]) ).

cnf(55274,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | hskp14
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[7642,55269,theory(equality)]) ).

cnf(55280,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | hskp14
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[15458,55269,theory(equality)]) ).

cnf(56441,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp10
    | ~ hskp23
    | ~ hskp3 ),
    inference(csr,[status(thm)],[13320,30339]) ).

cnf(56442,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp23
    | ~ hskp3 ),
    inference(csr,[status(thm)],[56441,51672]) ).

cnf(56625,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c2_1(a2409)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3930,24]) ).

cnf(56626,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[56625,23]) ).

cnf(57286,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp17
    | hskp3
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[4011,28]) ).

cnf(57287,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp17
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[57286,27]) ).

cnf(57515,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[14838,25737]) ).

cnf(57516,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[57515,7874]) ).

cnf(57517,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp20
    | hskp11
    | hskp6 ),
    inference(spm,[status(thm)],[9022,57516,theory(equality)]) ).

cnf(57526,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp11
    | hskp5 ),
    inference(csr,[status(thm)],[57517,26805]) ).

cnf(57527,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp5 ),
    inference(csr,[status(thm)],[57526,31822]) ).

cnf(57531,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp5
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,57527,theory(equality)]) ).

cnf(57540,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp30 ),
    inference(csr,[status(thm)],[57531,36664]) ).

cnf(58049,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[16451,20803]) ).

cnf(58056,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp3
    | hskp25
    | hskp7 ),
    inference(spm,[status(thm)],[58049,17812,theory(equality)]) ).

cnf(58089,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[58056,20803]) ).

cnf(58090,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[58089,3772]) ).

cnf(58199,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp21
    | ~ hskp17
    | ~ c1_1(X1)
    | ~ c0_1(a2427) ),
    inference(csr,[status(thm)],[4039,72]) ).

cnf(58200,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ hskp21
    | ~ hskp17
    | ~ c1_1(a2403)
    | ~ c0_1(a2427) ),
    inference(spm,[status(thm)],[134,58199,theory(equality)]) ).

cnf(58602,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp21
    | ~ c2_1(a2409)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4044,24]) ).

cnf(58603,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp21
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[58602,23]) ).

cnf(58604,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ hskp29
    | ~ hskp21
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,58603,theory(equality)]) ).

cnf(58610,negated_conjecture,
    ( c2_1(a2425)
    | ~ hskp16
    | ~ hskp29
    | ~ hskp21
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,58603,theory(equality)]) ).

cnf(58611,negated_conjecture,
    ( c2_1(a2428)
    | ~ hskp18
    | ~ hskp29
    | ~ hskp21
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[66,58603,theory(equality)]) ).

cnf(58612,negated_conjecture,
    ( c2_1(a2468)
    | ~ hskp24
    | ~ hskp29
    | ~ hskp21
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,58603,theory(equality)]) ).

cnf(58614,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp26
    | ~ hskp29
    | ~ hskp21
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,58603,theory(equality)]) ).

cnf(58715,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp29
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[58604,136]) ).

cnf(58716,negated_conjecture,
    ( ~ hskp29
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[58715,135]) ).

cnf(58717,negated_conjecture,
    ( hskp0
    | ~ hskp21
    | ~ hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[58716,10526,theory(equality)]) ).

cnf(58724,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp0
    | ~ hskp21
    | ~ hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[58716,11807,theory(equality)]) ).

cnf(58727,negated_conjecture,
    ( ~ hskp21
    | ~ hskp1
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[58716,25395,theory(equality)]) ).

cnf(58728,negated_conjecture,
    ( hskp20
    | ~ hskp21
    | ~ hskp1
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[58716,25836,theory(equality)]) ).

cnf(58736,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp0
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58716,44017,theory(equality)]) ).

cnf(58738,negated_conjecture,
    ( hskp0
    | ~ hskp21
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[58716,45241,theory(equality)]) ).

cnf(58741,negated_conjecture,
    ( hskp0
    | hskp9
    | hskp7
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58717,8,theory(equality)]) ).

cnf(58768,negated_conjecture,
    ( hskp0
    | hskp12
    | ~ hskp21
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[58738,36375,theory(equality)]) ).

cnf(58775,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp5
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58738,41954,theory(equality)]) ).

cnf(58785,negated_conjecture,
    ( hskp0
    | hskp11
    | hskp5
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58738,57527,theory(equality)]) ).

cnf(58808,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp30
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4045,20]) ).

cnf(58809,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ hskp30
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,58808,theory(equality)]) ).

cnf(58944,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[4047,27793]) ).

cnf(58954,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2409)
    | ~ c1_1(X1)
    | ~ c1_1(a2409)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[58944,24,theory(equality)]) ).

cnf(59055,negated_conjecture,
    ( hskp20
    | hskp25
    | hskp19
    | ~ hskp21
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[58728,21236,theory(equality)]) ).

cnf(59076,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[58736,27793]) ).

cnf(59083,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[9739,59076,theory(equality)]) ).

cnf(59086,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp0
    | ~ hskp15
    | ~ hskp1 ),
    inference(spm,[status(thm)],[14430,59076,theory(equality)]) ).

cnf(59088,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[27847,59076,theory(equality)]) ).

cnf(59098,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[41156,59076,theory(equality)]) ).

cnf(59122,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp21
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58727,59088,theory(equality)]) ).

cnf(59123,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[59098,12350]) ).

cnf(59215,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[58741,51822]) ).

cnf(59216,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[59215,46962]) ).

cnf(59217,negated_conjecture,
    ( hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[59216,11396]) ).

cnf(59303,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[58768,36394]) ).

cnf(59306,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[44683,59303,theory(equality)]) ).

cnf(59312,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[59306,44774]) ).

cnf(59328,negated_conjecture,
    ( hskp30
    | hskp5
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[58775,53895]) ).

cnf(59329,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[59328,45172]) ).

cnf(59332,negated_conjecture,
    ( hskp5
    | ~ hskp21
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58727,59329,theory(equality)]) ).

cnf(59367,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[58785,50346]) ).

cnf(59368,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp0 ),
    inference(csr,[status(thm)],[59367,44772]) ).

cnf(59369,negated_conjecture,
    ( hskp5
    | hskp0 ),
    inference(csr,[status(thm)],[59368,59312]) ).

cnf(59391,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[59086,59123]) ).

cnf(59453,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[59122,27793]) ).

cnf(59718,negated_conjecture,
    ( ~ hskp29
    | ~ hskp21
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[58610,75]) ).

cnf(59722,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp21
    | ~ hskp16 ),
    inference(spm,[status(thm)],[59718,37593,theory(equality)]) ).

cnf(59731,negated_conjecture,
    ( hskp10
    | ~ hskp21
    | ~ hskp16
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[59722,25395,theory(equality)]) ).

cnf(59741,negated_conjecture,
    ( hskp10
    | hskp0
    | ~ hskp21
    | ~ hskp16
    | ~ hskp20 ),
    inference(spm,[status(thm)],[59722,45241,theory(equality)]) ).

cnf(59920,negated_conjecture,
    ( hskp10
    | ~ hskp21
    | ~ hskp9
    | ~ hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[59731,7261,theory(equality)]) ).

cnf(59952,negated_conjecture,
    ( hskp10
    | hskp0
    | ~ hskp20
    | ~ hskp16 ),
    inference(csr,[status(thm)],[59741,47133]) ).

cnf(59955,negated_conjecture,
    ( hskp10
    | hskp0
    | hskp12
    | hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[59952,6549,theory(equality)]) ).

cnf(59997,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2409)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4145,24]) ).

cnf(59998,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c3_1(X1)
    | ~ hskp29
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[59997,23]) ).

cnf(59999,negated_conjecture,
    ( c2_1(a2403)
    | c1_1(a2409)
    | ~ hskp1
    | ~ hskp29
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,59998,theory(equality)]) ).

cnf(60005,negated_conjecture,
    ( c2_1(a2425)
    | c1_1(a2409)
    | ~ hskp16
    | ~ hskp29
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,59998,theory(equality)]) ).

cnf(60006,negated_conjecture,
    ( c2_1(a2428)
    | c1_1(a2409)
    | ~ hskp18
    | ~ hskp29
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[66,59998,theory(equality)]) ).

cnf(60007,negated_conjecture,
    ( c2_1(a2468)
    | c1_1(a2409)
    | ~ hskp24
    | ~ hskp29
    | ~ c1_1(a2468) ),
    inference(spm,[status(thm)],[42,59998,theory(equality)]) ).

cnf(60009,negated_conjecture,
    ( c2_1(a2484)
    | c1_1(a2409)
    | ~ hskp26
    | ~ hskp29
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,59998,theory(equality)]) ).

cnf(60103,negated_conjecture,
    ( hskp10
    | ~ hskp21
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[59920,51799]) ).

cnf(60104,negated_conjecture,
    ( hskp10
    | ~ hskp21
    | ~ hskp11 ),
    inference(csr,[status(thm)],[60103,38409]) ).

cnf(60105,negated_conjecture,
    ( hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[60104,38391]) ).

cnf(60131,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[59955,60105]) ).

cnf(60132,negated_conjecture,
    ( hskp10
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[60131,51685]) ).

cnf(60326,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4250,72]) ).

cnf(60327,negated_conjecture,
    ( hskp15
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp17
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,60326,theory(equality)]) ).

cnf(60333,negated_conjecture,
    ( hskp15
    | c2_1(a2425)
    | ~ hskp16
    | ~ hskp17
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[74,60326,theory(equality)]) ).

cnf(60334,negated_conjecture,
    ( hskp15
    | c2_1(a2428)
    | ~ hskp18
    | ~ hskp17
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[66,60326,theory(equality)]) ).

cnf(60337,negated_conjecture,
    ( hskp15
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp17
    | ~ c1_1(a2484) ),
    inference(spm,[status(thm)],[34,60326,theory(equality)]) ).

cnf(60434,negated_conjecture,
    ( ~ hskp29
    | ~ hskp21
    | ~ hskp18
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[58611,67]) ).

cnf(60435,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp29
    | ~ hskp21
    | ~ hskp18 ),
    inference(spm,[status(thm)],[60434,11802,theory(equality)]) ).

cnf(60438,negated_conjecture,
    ( hskp0
    | ~ hskp29
    | ~ hskp21
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[60434,50929,theory(equality)]) ).

cnf(60445,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp0
    | ~ hskp21
    | ~ hskp18 ),
    inference(spm,[status(thm)],[60435,11807,theory(equality)]) ).

cnf(60447,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp21
    | ~ hskp18
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[60435,25395,theory(equality)]) ).

cnf(60450,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp1
    | ~ hskp21
    | ~ hskp18
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[60435,25949,theory(equality)]) ).

cnf(60580,negated_conjecture,
    ( hskp0
    | ~ hskp21
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[60438,50933]) ).

cnf(60769,negated_conjecture,
    ( c2_1(a2468)
    | ~ hskp29
    | ~ hskp24
    | ~ hskp21 ),
    inference(csr,[status(thm)],[58612,44]) ).

cnf(60770,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp24
    | ~ hskp29
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2322,60769,theory(equality)]) ).

cnf(60781,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp24
    | ~ hskp29
    | ~ hskp21 ),
    inference(spm,[status(thm)],[19976,60769,theory(equality)]) ).

cnf(60816,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp0
    | ~ hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[60770,11177,theory(equality)]) ).

cnf(60986,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp29
    | ~ hskp24 ),
    inference(csr,[status(thm)],[60781,27793]) ).

cnf(60987,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp29 ),
    inference(csr,[status(thm)],[60986,20980]) ).

cnf(60995,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[60987,25395,theory(equality)]) ).

cnf(61001,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[60987,26145,theory(equality)]) ).

cnf(61010,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[60995,59123]) ).

cnf(61024,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[61001,59123]) ).

cnf(61047,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[60816,11187]) ).

cnf(61057,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp0
    | hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[61047,10528,theory(equality)]) ).

cnf(61073,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp0
    | hskp15
    | ~ hskp20 ),
    inference(spm,[status(thm)],[61047,45253,theory(equality)]) ).

cnf(61160,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4315,72]) ).

cnf(61161,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[61160,70]) ).

cnf(61301,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[61057,44667]) ).

cnf(61488,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[61073,44667]) ).

cnf(61693,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp29
    | ~ hskp26
    | ~ hskp21 ),
    inference(csr,[status(thm)],[58614,35]) ).

cnf(61697,negated_conjecture,
    ( hskp20
    | ~ hskp26
    | ~ hskp29
    | ~ hskp21 ),
    inference(spm,[status(thm)],[9737,61693,theory(equality)]) ).

cnf(61737,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp26
    | ~ hskp21
    | ~ hskp8 ),
    inference(spm,[status(thm)],[61697,10526,theory(equality)]) ).

cnf(61744,negated_conjecture,
    ( hskp20
    | ~ hskp26
    | ~ hskp21
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61697,25836,theory(equality)]) ).

cnf(61875,negated_conjecture,
    ( hskp20
    | hskp0
    | hskp30
    | hskp19
    | ~ hskp21
    | ~ hskp8 ),
    inference(spm,[status(thm)],[61737,12,theory(equality)]) ).

cnf(61904,negated_conjecture,
    ( hskp20
    | hskp6
    | ~ hskp26
    | ~ hskp21
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61744,41155,theory(equality)]) ).

cnf(61905,negated_conjecture,
    ( hskp20
    | ~ hskp26
    | ~ hskp21
    | ~ hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[61744,41130,theory(equality)]) ).

cnf(61939,negated_conjecture,
    ( hskp20
    | hskp6
    | ~ hskp26
    | ~ hskp0 ),
    inference(csr,[status(thm)],[61904,27793]) ).

cnf(61941,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp30
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61939,12,theory(equality)]) ).

cnf(61947,negated_conjecture,
    ( hskp20
    | hskp30
    | hskp19
    | ~ hskp21
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61905,12,theory(equality)]) ).

cnf(61987,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[4423,138]) ).

cnf(62089,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp6 ),
    inference(csr,[status(thm)],[61941,28302]) ).

cnf(62090,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp6 ),
    inference(csr,[status(thm)],[62089,31822]) ).

cnf(62155,negated_conjecture,
    ( hskp15
    | c2_1(a2403)
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[60327,136]) ).

cnf(62156,negated_conjecture,
    ( hskp15
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[62155,135]) ).

cnf(62195,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4426,1698]) ).

cnf(62196,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[62195,90]) ).

cnf(62349,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp15
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4428,72]) ).

cnf(62350,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp15
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[62349,70]) ).

cnf(62351,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ hskp17
    | ~ hskp15
    | ~ c0_1(a2422)
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,62350,theory(equality)]) ).

cnf(62465,negated_conjecture,
    ( hskp15
    | ~ hskp17
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[60333,75]) ).

cnf(62466,negated_conjecture,
    ( hskp15
    | hskp30
    | hskp21
    | ~ hskp17
    | ~ hskp16 ),
    inference(spm,[status(thm)],[62465,6216,theory(equality)]) ).

cnf(62477,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[62466,14056]) ).

cnf(62642,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | ~ hskp23
    | ~ hskp15
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4431,48]) ).

cnf(62643,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | ~ hskp23
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[62642,1729]) ).

cnf(62884,negated_conjecture,
    ( hskp15
    | ~ hskp18
    | ~ hskp17
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[60334,67]) ).

cnf(62887,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[62884,48465,theory(equality)]) ).

cnf(62889,negated_conjecture,
    ( hskp15
    | ~ hskp18
    | ~ hskp17 ),
    inference(csr,[status(thm)],[62887,62156]) ).

cnf(63141,negated_conjecture,
    ( hskp15
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp17 ),
    inference(csr,[status(thm)],[60337,35]) ).

cnf(63372,negated_conjecture,
    ( c2_1(a2403)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[59999,136]) ).

cnf(63373,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[63372,135]) ).

cnf(63374,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2248,63373,theory(equality)]) ).

cnf(63375,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2449,63373,theory(equality)]) ).

cnf(63377,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2997,63373,theory(equality)]) ).

cnf(63379,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[20977,63373,theory(equality)]) ).

cnf(63423,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[63375,36367]) ).

cnf(63460,negated_conjecture,
    ( hskp0
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[63377,58716]) ).

cnf(63461,negated_conjecture,
    ( hskp0
    | ~ hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[63460,10526,theory(equality)]) ).

cnf(63463,negated_conjecture,
    ( hskp0
    | hskp21
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[63460,10738,theory(equality)]) ).

cnf(63465,negated_conjecture,
    ( hskp0
    | hskp28
    | hskp3
    | ~ hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[63460,11807,theory(equality)]) ).

cnf(63476,negated_conjecture,
    ( hskp0
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[63460,45241,theory(equality)]) ).

cnf(63500,negated_conjecture,
    ( hskp0
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[63476,31822,theory(equality)]) ).

cnf(63540,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp14
    | hskp0
    | ~ hskp1
    | ~ hskp15 ),
    inference(spm,[status(thm)],[63379,43611,theory(equality)]) ).

cnf(63568,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[63463,35164]) ).

cnf(63756,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp28
    | ~ hskp17
    | ~ c0_1(a2406)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4590,72]) ).

cnf(63757,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp28
    | ~ hskp17
    | ~ c0_1(a2406)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[63756,70]) ).

cnf(63960,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp3
    | ~ hskp18
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2996,63465,theory(equality)]) ).

cnf(64563,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2402)
    | ~ c1_1(a2409)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[4626,138]) ).

cnf(64736,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[60005,75]) ).

cnf(64738,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[2449,64736,theory(equality)]) ).

cnf(64740,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[2997,64736,theory(equality)]) ).

cnf(64786,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c1_1(a2409)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4629,90]) ).

cnf(64788,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp2
    | ~ hskp29
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c1_1(a2409)
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,64786,theory(equality)]) ).

cnf(64899,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp10
    | ~ hskp29
    | ~ hskp16 ),
    inference(spm,[status(thm)],[64738,37593,theory(equality)]) ).

cnf(64900,negated_conjecture,
    ( hskp15
    | hskp10
    | ~ hskp29
    | ~ hskp16 ),
    inference(csr,[status(thm)],[64899,60105]) ).

cnf(64906,negated_conjecture,
    ( hskp15
    | hskp10
    | ~ hskp16
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[64900,25395,theory(equality)]) ).

cnf(64965,negated_conjecture,
    ( hskp15
    | hskp10
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[64906,9187]) ).

cnf(64977,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp12
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[51693,64965,theory(equality)]) ).

cnf(64998,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4631,72]) ).

cnf(64999,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[64998,70]) ).

cnf(65096,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[64977,51685]) ).

cnf(65204,negated_conjecture,
    ( hskp0
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[64740,59718]) ).

cnf(65205,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp21
    | ~ hskp29
    | ~ hskp16 ),
    inference(spm,[status(thm)],[65204,6216,theory(equality)]) ).

cnf(65226,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a2409)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4634,48]) ).

cnf(65365,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp29
    | ~ hskp16 ),
    inference(csr,[status(thm)],[65205,54155]) ).

cnf(65366,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp0
    | ~ hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[65365,10526,theory(equality)]) ).

cnf(65437,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[65366,54155]) ).

cnf(65459,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp19
    | ~ hskp8
    | ~ hskp10 ),
    inference(spm,[status(thm)],[65437,26658,theory(equality)]) ).

cnf(65464,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[65437,44551,theory(equality)]) ).

cnf(65466,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp10
    | ~ hskp8
    | ~ hskp12 ),
    inference(spm,[status(thm)],[65437,51672,theory(equality)]) ).

cnf(65811,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[65459,53904]) ).

cnf(65835,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[65466,65464]) ).

cnf(65836,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp8 ),
    inference(csr,[status(thm)],[65835,65811]) ).

cnf(66033,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp18
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[60006,67]) ).

cnf(66036,negated_conjecture,
    ( c1_1(a2409)
    | hskp1
    | ~ hskp29
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[66033,48465,theory(equality)]) ).

cnf(66037,negated_conjecture,
    ( c1_1(a2409)
    | hskp0
    | ~ hskp29
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[66033,50929,theory(equality)]) ).

cnf(66167,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp18
    | ~ hskp17 ),
    inference(csr,[status(thm)],[66036,63373]) ).

cnf(66168,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2248,66167,theory(equality)]) ).

cnf(66614,negated_conjecture,
    ( c1_1(a2409)
    | hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66037,50933]) ).

cnf(66618,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp29
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2997,66614,theory(equality)]) ).

cnf(66641,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66618,50933]) ).

cnf(66642,negated_conjecture,
    ( hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66641,60580]) ).

cnf(66688,negated_conjecture,
    ( hskp0
    | hskp1
    | ~ hskp12
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[66642,45381,theory(equality)]) ).

cnf(66865,negated_conjecture,
    ( hskp0
    | ~ hskp20
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[66688,63476]) ).

cnf(66874,negated_conjecture,
    ( hskp0
    | ~ hskp12
    | ~ hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[66865,31822,theory(equality)]) ).

cnf(66896,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp6
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[66865,62090,theory(equality)]) ).

cnf(66975,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp30
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4694,90]) ).

cnf(66986,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp26
    | ~ hskp30
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2484) ),
    inference(spm,[status(thm)],[34,66975,theory(equality)]) ).

cnf(67144,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66896,7874]) ).

cnf(67180,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2427)
    | c3_1(X1)
    | ~ hskp30
    | ~ hskp17
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[4696,72]) ).

cnf(67181,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp30
    | ~ hskp17
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[67180,70]) ).

cnf(67182,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ hskp30
    | ~ hskp17
    | ~ c0_1(a2403) ),
    inference(spm,[status(thm)],[134,67181,theory(equality)]) ).

cnf(67183,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp2
    | ~ hskp30
    | ~ hskp17
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,67181,theory(equality)]) ).

cnf(67186,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp10
    | ~ hskp30
    | ~ hskp17
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,67181,theory(equality)]) ).

cnf(67188,negated_conjecture,
    ( c2_1(a2425)
    | ~ hskp16
    | ~ hskp30
    | ~ hskp17
    | ~ c0_1(a2425) ),
    inference(spm,[status(thm)],[74,67181,theory(equality)]) ).

cnf(67661,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[67182,135]) ).

cnf(67691,negated_conjecture,
    ( hskp4
    | ~ hskp30
    | ~ hskp17
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[67661,43160,theory(equality)]) ).

cnf(67718,negated_conjecture,
    ( hskp4
    | ~ hskp30
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[67691,35131]) ).

cnf(67864,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp2
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[67183,131]) ).

cnf(67872,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp30
    | ~ hskp17
    | ~ hskp2 ),
    inference(spm,[status(thm)],[67864,11627,theory(equality)]) ).

cnf(67874,negated_conjecture,
    ( hskp13
    | hskp1
    | ~ hskp30
    | ~ hskp17
    | ~ hskp2 ),
    inference(spm,[status(thm)],[67864,12599,theory(equality)]) ).

cnf(67894,negated_conjecture,
    ( c2_1(a2404)
    | hskp1
    | c1_1(a2404)
    | ~ hskp30
    | ~ hskp17
    | ~ hskp2 ),
    inference(spm,[status(thm)],[67864,42456,theory(equality)]) ).

cnf(67965,negated_conjecture,
    ( hskp13
    | hskp1
    | hskp18
    | ~ hskp30
    | ~ hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[67874,2803,theory(equality)]) ).

cnf(68015,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp30
    | ~ hskp17
    | ~ hskp10 ),
    inference(csr,[status(thm)],[67186,100]) ).

cnf(68024,negated_conjecture,
    ( hskp7
    | ~ hskp19
    | ~ hskp10
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[17563,68015,theory(equality)]) ).

cnf(68034,negated_conjecture,
    ( hskp3
    | ~ hskp10
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[27993,68015,theory(equality)]) ).

cnf(68039,negated_conjecture,
    ( hskp2
    | ~ hskp10
    | ~ hskp6
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[30841,68015,theory(equality)]) ).

cnf(68043,negated_conjecture,
    ( hskp2
    | ~ hskp12
    | ~ hskp10
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[33618,68015,theory(equality)]) ).

cnf(68067,negated_conjecture,
    ( hskp3
    | hskp18
    | ~ hskp30
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68034,2803,theory(equality)]) ).

cnf(68100,negated_conjecture,
    ( hskp7
    | hskp18
    | ~ hskp30
    | ~ hskp19
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68024,2803,theory(equality)]) ).

cnf(68114,negated_conjecture,
    ( hskp2
    | hskp18
    | ~ hskp30
    | ~ hskp10
    | ~ hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68039,2803,theory(equality)]) ).

cnf(68128,negated_conjecture,
    ( hskp2
    | ~ hskp30
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[68043,28563]) ).

cnf(68157,negated_conjecture,
    ( hskp18
    | hskp3
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[68067,40016]) ).

cnf(68158,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp9
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[68157,8,theory(equality)]) ).

cnf(68239,negated_conjecture,
    ( c2_1(a2425)
    | ~ hskp30
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[67188,76]) ).

cnf(68240,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[68239,75]) ).

cnf(68241,negated_conjecture,
    ( hskp18
    | ~ hskp30
    | ~ hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68240,2803,theory(equality)]) ).

cnf(68244,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ hskp16
    | ~ hskp19 ),
    inference(spm,[status(thm)],[68240,3886,theory(equality)]) ).

cnf(68276,negated_conjecture,
    ( hskp18
    | hskp19
    | ~ hskp30
    | ~ hskp8
    | ~ hskp10 ),
    inference(spm,[status(thm)],[68241,26658,theory(equality)]) ).

cnf(68294,negated_conjecture,
    ( hskp21
    | ~ hskp19
    | ~ hskp16 ),
    inference(csr,[status(thm)],[68244,53904]) ).

cnf(68564,negated_conjecture,
    ( hskp19
    | hskp18
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[68276,40016]) ).

cnf(68565,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp9
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[68564,8,theory(equality)]) ).

cnf(68904,negated_conjecture,
    ( c2_1(a2468)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp24 ),
    inference(csr,[status(thm)],[60007,44]) ).

cnf(68905,negated_conjecture,
    ( hskp12
    | hskp11
    | c1_1(a2409)
    | ~ hskp24
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2322,68904,theory(equality)]) ).

cnf(69001,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp12
    | ~ hskp29
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2449,68905,theory(equality)]) ).

cnf(69026,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp29 ),
    inference(csr,[status(thm)],[69001,4284]) ).

cnf(69036,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[69026,26143,theory(equality)]) ).

cnf(69127,negated_conjecture,
    ( c2_1(a2484)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp26 ),
    inference(csr,[status(thm)],[60009,35]) ).

cnf(69131,negated_conjecture,
    ( hskp20
    | c1_1(a2409)
    | ~ hskp26
    | ~ hskp29 ),
    inference(spm,[status(thm)],[9737,69127,theory(equality)]) ).

cnf(69152,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | ~ hskp26
    | ~ hskp29 ),
    inference(spm,[status(thm)],[34429,69127,theory(equality)]) ).

cnf(69175,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp20
    | ~ hskp29
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2248,69131,theory(equality)]) ).

cnf(69473,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[5296,138]) ).

cnf(69710,negated_conjecture,
    ( c2_1(a2407)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ hskp4
    | ~ c1_1(a2408)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5298,123]) ).

cnf(69711,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ hskp4
    | ~ c1_1(a2408)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[69710,122]) ).

cnf(70809,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[25409,15869]) ).

cnf(70815,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp1
    | hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[40951,70809,theory(equality)]) ).

cnf(70866,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[70815,60105]) ).

cnf(70867,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp10
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[7874,70866,theory(equality)]) ).

cnf(70881,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[5343,138]) ).

cnf(70972,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[70867,39469]) ).

cnf(70973,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[70972,40516]) ).

cnf(70974,negated_conjecture,
    ( hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[70973,60105]) ).

cnf(71013,negated_conjecture,
    ( c2_1(a2407)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5345,123]) ).

cnf(71014,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[71013,122]) ).

cnf(71015,negated_conjecture,
    ( c2_1(a2412)
    | ~ hskp8
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,71014,theory(equality)]) ).

cnf(71019,negated_conjecture,
    ( c2_1(a2428)
    | ~ hskp18
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(a2428) ),
    inference(spm,[status(thm)],[68,71014,theory(equality)]) ).

cnf(71020,negated_conjecture,
    ( c2_1(a2432)
    | ~ hskp19
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,71014,theory(equality)]) ).

cnf(71021,negated_conjecture,
    ( c2_1(a2435)
    | ~ hskp20
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,71014,theory(equality)]) ).

cnf(71113,negated_conjecture,
    ( c2_1(a2412)
    | ~ hskp8
    | ~ hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[71015,108]) ).

cnf(71114,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[71113,106]) ).

cnf(71115,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[71114,29971,theory(equality)]) ).

cnf(71157,negated_conjecture,
    ( hskp30
    | hskp11
    | ~ hskp19
    | ~ hskp9
    | ~ hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[71115,14431,theory(equality)]) ).

cnf(71161,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp2
    | ~ hskp19
    | ~ hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71115,34443,theory(equality)]) ).

cnf(71360,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp10
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5348,99]) ).

cnf(71464,negated_conjecture,
    ( ~ hskp18
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(a2428) ),
    inference(csr,[status(thm)],[71019,67]) ).

cnf(71465,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp18
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[71464,11802,theory(equality)]) ).

cnf(71599,negated_conjecture,
    ( c2_1(a2432)
    | ~ hskp19
    | ~ hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[71020,64]) ).

cnf(71600,negated_conjecture,
    ( hskp15
    | ~ hskp19
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1701,71599,theory(equality)]) ).

cnf(71604,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp19
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[4726,71599,theory(equality)]) ).

cnf(71612,negated_conjecture,
    ( hskp2
    | ~ hskp19
    | ~ hskp17
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[21935,71599,theory(equality)]) ).

cnf(71648,negated_conjecture,
    ( hskp15
    | ~ hskp19
    | ~ hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[71600,29971,theory(equality)]) ).

cnf(71649,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp19
    | ~ hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[71600,30260,theory(equality)]) ).

cnf(71661,negated_conjecture,
    ( hskp15
    | ~ hskp19
    | ~ hskp6
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[71600,44377,theory(equality)]) ).

cnf(71671,negated_conjecture,
    ( hskp15
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[71648,61010]) ).

cnf(71744,negated_conjecture,
    ( hskp2
    | hskp18
    | ~ hskp19
    | ~ hskp6
    | ~ hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[71612,2803,theory(equality)]) ).

cnf(71758,negated_conjecture,
    ( hskp15
    | ~ hskp25
    | ~ hskp19
    | ~ hskp11 ),
    inference(csr,[status(thm)],[71661,61024]) ).

cnf(71848,negated_conjecture,
    ( ~ hskp20
    | ~ hskp6
    | ~ hskp4
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[71021,58]) ).

cnf(71849,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[71848,1794,theory(equality)]) ).

cnf(71850,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp20
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[71848,7405,theory(equality)]) ).

cnf(71854,negated_conjecture,
    ( hskp0
    | ~ hskp20
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[71848,45233,theory(equality)]) ).

cnf(71855,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp6
    | ~ hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[71849,29971,theory(equality)]) ).

cnf(71860,negated_conjecture,
    ( hskp12
    | hskp30
    | ~ hskp20
    | ~ hskp6
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[71849,43263,theory(equality)]) ).

cnf(71866,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp20
    | ~ hskp6
    | ~ hskp14
    | ~ hskp11 ),
    inference(spm,[status(thm)],[71849,43559,theory(equality)]) ).

cnf(71878,negated_conjecture,
    ( hskp0
    | ~ hskp20
    | ~ hskp6
    | ~ hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[71854,29971,theory(equality)]) ).

cnf(71901,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp20
    | ~ hskp4 ),
    inference(csr,[status(thm)],[71850,70974]) ).

cnf(71902,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp20
    | ~ hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[71901,29971,theory(equality)]) ).

cnf(71959,negated_conjecture,
    ( hskp12
    | ~ hskp19
    | ~ hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[71855,31822]) ).

cnf(71991,negated_conjecture,
    ( hskp0
    | ~ hskp20
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[71878,59217]) ).

cnf(71992,negated_conjecture,
    ( hskp0
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[71991,31822]) ).

cnf(72006,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[71902,31822]) ).

cnf(72789,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp3
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[26431,49920]) ).

cnf(72790,negated_conjecture,
    ( hskp21
    | hskp3
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[72789,63568]) ).

cnf(72796,negated_conjecture,
    ( hskp21
    | hskp3
    | hskp0
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[72790,12826,theory(equality)]) ).

cnf(72906,negated_conjecture,
    ( hskp21
    | hskp3
    | hskp0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[72796,63960]) ).

cnf(73147,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp26
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[26441,26657]) ).

cnf(73153,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp1
    | ~ hskp26
    | ~ hskp2
    | ~ hskp18 ),
    inference(spm,[status(thm)],[73147,12826,theory(equality)]) ).

cnf(73659,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp16
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[26668,70974]) ).

cnf(73660,negated_conjecture,
    ( hskp19
    | hskp5
    | hskp26
    | hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[9022,73659,theory(equality)]) ).

cnf(73682,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | hskp5 ),
    inference(csr,[status(thm)],[73660,29323]) ).

cnf(73688,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp7
    | hskp19
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[8465,73682,theory(equality)]) ).

cnf(73695,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6
    | hskp19
    | hskp5 ),
    inference(spm,[status(thm)],[28031,73682,theory(equality)]) ).

cnf(73831,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[73695,28142]) ).

cnf(73832,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[73831,31822]) ).

cnf(73889,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[73688,19868]) ).

cnf(73890,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp7 ),
    inference(csr,[status(thm)],[73889,3111]) ).

cnf(73891,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp7 ),
    inference(csr,[status(thm)],[73890,31822]) ).

cnf(73895,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,73891,theory(equality)]) ).

cnf(73901,negated_conjecture,
    ( hskp0
    | hskp25
    | hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[63476,73891,theory(equality)]) ).

cnf(73908,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp25
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[44682,73895,theory(equality)]) ).

cnf(73929,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[73901,8554]) ).

cnf(73932,negated_conjecture,
    ( hskp25
    | hskp7
    | ~ hskp21
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58727,73929,theory(equality)]) ).

cnf(73955,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[73908,73929]) ).

cnf(73956,negated_conjecture,
    ( hskp25
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[73955,34161]) ).

cnf(73967,negated_conjecture,
    ( hskp25
    | hskp7
    | ~ hskp21
    | ~ hskp9 ),
    inference(csr,[status(thm)],[73932,8554]) ).

cnf(73968,negated_conjecture,
    ( hskp25
    | hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[73967,18531]) ).

cnf(73972,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp19
    | ~ hskp15
    | ~ hskp10 ),
    inference(csr,[status(thm)],[26673,14432]) ).

cnf(73973,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp19
    | ~ hskp15 ),
    inference(csr,[status(thm)],[73972,14432]) ).

cnf(73974,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp15 ),
    inference(csr,[status(thm)],[73973,53904]) ).

cnf(74653,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp3
    | ~ hskp13
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27205,30339]) ).

cnf(74659,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp3
    | hskp1
    | ~ hskp9
    | ~ hskp18 ),
    inference(spm,[status(thm)],[74653,12826,theory(equality)]) ).

cnf(74828,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | ~ hskp18
    | ~ hskp10 ),
    inference(csr,[status(thm)],[27366,26665]) ).

cnf(74829,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[74828,70974]) ).

cnf(74962,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp23
    | ~ hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[27374,5697]) ).

cnf(75579,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[5600,138]) ).

cnf(76453,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp8
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[34635,35424]) ).

cnf(76489,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp12
    | hskp2
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[68564,76453,theory(equality)]) ).

cnf(76823,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp14
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[34758,50336]) ).

cnf(76824,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[76823,12227]) ).

cnf(76826,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp14
    | hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2283,76824,theory(equality)]) ).

cnf(76875,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2648,76826,theory(equality)]) ).

cnf(76929,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[76875,27848]) ).

cnf(76930,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[76929,7874]) ).

cnf(77257,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp15
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35144,12227]) ).

cnf(77258,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ hskp11 ),
    inference(csr,[status(thm)],[77257,36366]) ).

cnf(77276,negated_conjecture,
    ( hskp5
    | hskp14
    | ~ hskp9
    | ~ hskp15
    | ~ hskp11 ),
    inference(spm,[status(thm)],[29173,77258,theory(equality)]) ).

cnf(77300,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp9
    | ~ hskp15
    | ~ hskp11 ),
    inference(spm,[status(thm)],[29175,77276,theory(equality)]) ).

cnf(77316,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[77300,61010]) ).

cnf(77319,negated_conjecture,
    ( hskp6
    | hskp5
    | hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[77316,50346,theory(equality)]) ).

cnf(77321,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[77316,59453,theory(equality)]) ).

cnf(77325,negated_conjecture,
    ( hskp6
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[77319,24776]) ).

cnf(77326,negated_conjecture,
    ( hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[77325,5892]) ).

cnf(77327,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp9 ),
    inference(csr,[status(thm)],[77321,77326]) ).

cnf(77357,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp1
    | ~ hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[35427,60105]) ).

cnf(77367,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp1
    | hskp30
    | ~ hskp11 ),
    inference(spm,[status(thm)],[77357,41944,theory(equality)]) ).

cnf(77394,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[77367,36403]) ).

cnf(77398,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44707,77394,theory(equality)]) ).

cnf(77683,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp9
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[35831,4178]) ).

cnf(77684,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[77683,62156]) ).

cnf(77686,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp9
    | hskp18
    | ~ hskp19 ),
    inference(spm,[status(thm)],[77684,3153,theory(equality)]) ).

cnf(77725,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp11
    | ~ hskp19 ),
    inference(csr,[status(thm)],[77686,71671]) ).

cnf(77726,negated_conjecture,
    ( hskp18
    | hskp15
    | ~ hskp19 ),
    inference(csr,[status(thm)],[77725,48961]) ).

cnf(77823,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[35845,5697]) ).

cnf(77824,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[77823,5697]) ).

cnf(77825,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[77824,71671]) ).

cnf(77911,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp7
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[35933,36164]) ).

cnf(77912,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[77911,34161]) ).

cnf(77914,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp9
    | hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26665,77912,theory(equality)]) ).

cnf(77925,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[77914,5697]) ).

cnf(77940,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[77925,60105,theory(equality)]) ).

cnf(78086,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp1
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[5781,28]) ).

cnf(78087,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp1
    | ~ hskp28 ),
    inference(csr,[status(thm)],[78086,27]) ).

cnf(78392,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp11
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[36166,34903]) ).

cnf(78393,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp11
    | hskp9 ),
    inference(csr,[status(thm)],[78392,15762]) ).

cnf(78508,negated_conjecture,
    ( hskp23
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[36980,36366]) ).

cnf(78509,negated_conjecture,
    ( hskp15
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1729,78508,theory(equality)]) ).

cnf(78515,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[14772,78508,theory(equality)]) ).

cnf(78523,negated_conjecture,
    ( hskp20
    | hskp5
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[24485,78508,theory(equality)]) ).

cnf(78527,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[31961,78508,theory(equality)]) ).

cnf(78530,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[35328,78508,theory(equality)]) ).

cnf(78542,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[74962,78508,theory(equality)]) ).

cnf(78566,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[78509,30339,theory(equality)]) ).

cnf(78927,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp15
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[37464,28294]) ).

cnf(78928,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[78927,28294]) ).

cnf(78929,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[78928,31822]) ).

cnf(78981,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[37607,7040]) ).

cnf(78982,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[78981,60105]) ).

cnf(78984,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp10
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[44682,78982,theory(equality)]) ).

cnf(79010,negated_conjecture,
    ( hskp10
    | hskp3
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[78984,73956]) ).

cnf(79011,negated_conjecture,
    ( hskp10
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[79010,34149]) ).

cnf(79207,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[37943,14431]) ).

cnf(79208,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[79207,60105]) ).

cnf(79209,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[79208,51693]) ).

cnf(79223,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp12
    | hskp11
    | hskp3 ),
    inference(spm,[status(thm)],[79209,58090,theory(equality)]) ).

cnf(79278,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[79223,60105]) ).

cnf(79597,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp11
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[40019,78393]) ).

cnf(79598,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[79597,60105]) ).

cnf(79976,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[41799,77398]) ).

cnf(79977,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[79976,31822]) ).

cnf(79982,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp20
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[66642,79977,theory(equality)]) ).

cnf(79985,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[79982,41944]) ).

cnf(79995,negated_conjecture,
    ( hskp0
    | hskp30
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[63476,79985,theory(equality)]) ).

cnf(79997,negated_conjecture,
    ( hskp0
    | hskp30
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[66865,79985,theory(equality)]) ).

cnf(80003,negated_conjecture,
    ( hskp30
    | ~ hskp21
    | ~ hskp9
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[58727,79995,theory(equality)]) ).

cnf(80131,negated_conjecture,
    ( hskp30
    | ~ hskp11
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[80003,43264]) ).

cnf(81153,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp15
    | hskp4
    | ~ hskp11 ),
    inference(csr,[status(thm)],[44199,46889]) ).

cnf(81154,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp4
    | ~ hskp11 ),
    inference(csr,[status(thm)],[81153,73974]) ).

cnf(81155,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp11 ),
    inference(csr,[status(thm)],[81154,6124]) ).

cnf(81612,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp12
    | hskp4
    | ~ hskp20 ),
    inference(csr,[status(thm)],[44230,6307]) ).

cnf(81626,negated_conjecture,
    ( hskp12
    | hskp18
    | hskp15
    | ~ hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71849,81612,theory(equality)]) ).

cnf(81636,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp12
    | ~ hskp20 ),
    inference(csr,[status(thm)],[81626,37458]) ).

cnf(81638,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp15
    | hskp12
    | ~ hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[26665,81636,theory(equality)]) ).

cnf(81675,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | hskp10
    | ~ hskp3 ),
    inference(csr,[status(thm)],[44407,52192]) ).

cnf(81676,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp10
    | ~ hskp3 ),
    inference(csr,[status(thm)],[81675,51672]) ).

cnf(81783,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[6341,44]) ).

cnf(81784,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[81783,43]) ).

cnf(81902,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp4
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[44464,20803]) ).

cnf(81903,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[81902,44191]) ).

cnf(81917,negated_conjecture,
    ( hskp12
    | hskp15
    | hskp3
    | ~ hskp20
    | ~ hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[71849,81903,theory(equality)]) ).

cnf(82017,negated_conjecture,
    ( hskp11
    | hskp3
    | hskp2
    | hskp0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[44728,49920]) ).

cnf(82018,negated_conjecture,
    ( hskp11
    | hskp3
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[82017,73956]) ).

cnf(82019,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[82018,34149]) ).

cnf(82092,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp4
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[45392,61488]) ).

cnf(82107,negated_conjecture,
    ( hskp0
    | hskp18
    | hskp15
    | ~ hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71854,82092,theory(equality)]) ).

cnf(82116,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[82107,37458]) ).

cnf(82349,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp0
    | ~ hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[47664,60105]) ).

cnf(82350,negated_conjecture,
    ( hskp19
    | hskp0
    | ~ hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[82349,63476]) ).

cnf(82358,negated_conjecture,
    ( hskp19
    | hskp0
    | hskp2
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[82350,36391,theory(equality)]) ).

cnf(82399,negated_conjecture,
    ( hskp19
    | hskp2
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[82358,82019]) ).

cnf(82400,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[82399,63500]) ).

cnf(82504,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp18
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[48742,28322]) ).

cnf(82505,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[82504,41155]) ).

cnf(82507,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp18
    | hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2283,82505,theory(equality)]) ).

cnf(82546,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[82507,76930]) ).

cnf(82547,negated_conjecture,
    ( hskp18
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[82546,7874]) ).

cnf(83357,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp4
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[50720,77825]) ).

cnf(83358,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[83357,21237]) ).

cnf(83370,negated_conjecture,
    ( hskp15
    | hskp25
    | hskp1
    | ~ hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71600,83358,theory(equality)]) ).

cnf(83418,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[83370,77825]) ).

cnf(83419,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp1 ),
    inference(csr,[status(thm)],[83418,21237]) ).

cnf(83575,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp13
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[6666,44]) ).

cnf(83576,negated_conjecture,
    ( hskp19
    | hskp16
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[83575,20148]) ).

cnf(83577,negated_conjecture,
    ( hskp19
    | hskp16
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[83576,43]) ).

cnf(83582,negated_conjecture,
    ( hskp19
    | hskp16
    | c1_1(a2414)
    | ~ hskp10
    | ~ hskp24
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[98,83577,theory(equality)]) ).

cnf(83729,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[6671,7904]) ).

cnf(83730,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[83729,7904]) ).

cnf(83731,negated_conjecture,
    ( hskp25
    | hskp16
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[83730,6516]) ).

cnf(83732,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[83731,7040]) ).

cnf(83971,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp1
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[54439,62477]) ).

cnf(83972,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[83971,68240]) ).

cnf(84204,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp11
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[54688,59369]) ).

cnf(84205,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[84204,34690]) ).

cnf(84750,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp8
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[55274,35733]) ).

cnf(84751,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp8
    | hskp1 ),
    inference(csr,[status(thm)],[84750,8]) ).

cnf(84784,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp14
    | hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[55280,43034]) ).

cnf(84785,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp14
    | hskp9 ),
    inference(csr,[status(thm)],[84784,5199]) ).

cnf(85603,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp0
    | ~ hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[58724,60445]) ).

cnf(85604,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[85603,72906]) ).

cnf(85638,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp23
    | ~ hskp12
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[6892,91]) ).

cnf(85639,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp23
    | ~ hskp12
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[85638,90]) ).

cnf(85640,negated_conjecture,
    ( c2_1(a2403)
    | c0_1(a2403)
    | ~ hskp1
    | ~ hskp23
    | ~ hskp12
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[134,85639,theory(equality)]) ).

cnf(85641,negated_conjecture,
    ( c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp2
    | ~ hskp23
    | ~ hskp12
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[130,85639,theory(equality)]) ).

cnf(86241,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | ~ hskp21
    | ~ hskp0 ),
    inference(csr,[status(thm)],[59055,34912]) ).

cnf(86242,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | ~ hskp0 ),
    inference(csr,[status(thm)],[86241,5426]) ).

cnf(86243,negated_conjecture,
    ( hskp25
    | hskp20
    | ~ hskp0 ),
    inference(csr,[status(thm)],[86242,31822]) ).

cnf(86324,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[59083,34912]) ).

cnf(86325,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19
    | hskp6 ),
    inference(csr,[status(thm)],[86324,86243]) ).

cnf(86326,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp19 ),
    inference(csr,[status(thm)],[86325,3111]) ).

cnf(86327,negated_conjecture,
    ( hskp25
    | hskp20 ),
    inference(csr,[status(thm)],[86326,31822]) ).

cnf(86331,negated_conjecture,
    ( hskp12
    | hskp25
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,86327,theory(equality)]) ).

cnf(86784,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12 ),
    inference(csr,[status(thm)],[6945,91]) ).

cnf(86785,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12 ),
    inference(csr,[status(thm)],[86784,90]) ).

cnf(86786,negated_conjecture,
    ( c2_1(a2403)
    | c0_1(a2403)
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[134,86785,theory(equality)]) ).

cnf(86787,negated_conjecture,
    ( c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp2
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[130,86785,theory(equality)]) ).

cnf(86793,negated_conjecture,
    ( c2_1(a2428)
    | c0_1(a2428)
    | ~ hskp18
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[66,86785,theory(equality)]) ).

cnf(86902,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp21
    | ~ hskp18
    | ~ hskp9 ),
    inference(csr,[status(thm)],[60447,85604]) ).

cnf(86932,negated_conjecture,
    ( c0_1(a2403)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[86786,135]) ).

cnf(86934,negated_conjecture,
    ( c2_1(a2403)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(a2403)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1503,86932,theory(equality)]) ).

cnf(86942,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2435,86932,theory(equality)]) ).

cnf(86957,negated_conjecture,
    ( hskp30
    | ~ hskp15
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[13818,86932,theory(equality)]) ).

cnf(86982,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[67661,86932,theory(equality)]) ).

cnf(87014,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp9
    | ~ hskp12
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[86942,4753,theory(equality)]) ).

cnf(87339,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp15
    | ~ hskp12
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[86957,4753,theory(equality)]) ).

cnf(87393,negated_conjecture,
    ( ~ hskp30
    | ~ hskp28
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[86982,1845]) ).

cnf(87397,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp17
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[87393,4753,theory(equality)]) ).

cnf(87731,negated_conjecture,
    ( hskp9
    | hskp18
    | ~ hskp30
    | ~ hskp23
    | ~ hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[87397,2803,theory(equality)]) ).

cnf(87733,negated_conjecture,
    ( hskp9
    | hskp21
    | ~ hskp30
    | ~ hskp23
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[87397,3886,theory(equality)]) ).

cnf(87778,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[86787,131]) ).

cnf(87826,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp2
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[67864,87778,theory(equality)]) ).

cnf(87888,negated_conjecture,
    ( ~ hskp30
    | ~ hskp28
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[87826,68128]) ).

cnf(87906,negated_conjecture,
    ( hskp3
    | ~ hskp30
    | ~ hskp17
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[87888,67872,theory(equality)]) ).

cnf(87987,negated_conjecture,
    ( hskp3
    | ~ hskp30
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[87906,68128]) ).

cnf(88074,negated_conjecture,
    ( c2_1(a2428)
    | ~ hskp28
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[86793,68]) ).

cnf(88075,negated_conjecture,
    ( ~ hskp28
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[88074,67]) ).

cnf(88079,negated_conjecture,
    ( hskp9
    | ~ hskp18
    | ~ hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[88075,4753,theory(equality)]) ).

cnf(88081,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp3
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[88075,11804,theory(equality)]) ).

cnf(88091,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[88075,44058,theory(equality)]) ).

cnf(88094,negated_conjecture,
    ( hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[88075,71465,theory(equality)]) ).

cnf(88101,negated_conjecture,
    ( hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp21
    | ~ hskp9 ),
    inference(spm,[status(thm)],[88075,86902,theory(equality)]) ).

cnf(88102,negated_conjecture,
    ( hskp9
    | hskp14
    | ~ hskp18
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[88079,2285,theory(equality)]) ).

cnf(88103,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp18
    | ~ hskp12
    | ~ hskp14 ),
    inference(spm,[status(thm)],[88079,2646,theory(equality)]) ).

cnf(88116,negated_conjecture,
    ( hskp9
    | hskp25
    | hskp19
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[88079,21236,theory(equality)]) ).

cnf(88120,negated_conjecture,
    ( hskp9
    | ~ hskp18
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[88079,36366,theory(equality)]) ).

cnf(88271,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp3
    | ~ hskp10
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[26657,88081,theory(equality)]) ).

cnf(88501,negated_conjecture,
    ( hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp6
    | ~ hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[88094,29971,theory(equality)]) ).

cnf(88536,negated_conjecture,
    ( hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[88094,88091,theory(equality)]) ).

cnf(88694,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp18
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[88103,88102,theory(equality)]) ).

cnf(88695,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp9
    | ~ hskp18 ),
    inference(csr,[status(thm)],[88116,21283]) ).

cnf(88727,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp9
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[88695,68565,theory(equality)]) ).

cnf(88888,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[88120,36735,theory(equality)]) ).

cnf(88889,negated_conjecture,
    ( hskp9
    | hskp15
    | hskp6
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[88120,37458,theory(equality)]) ).

cnf(88934,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ hskp12
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[6993,91]) ).

cnf(88935,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ hskp12
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[88934,90]) ).

cnf(88937,negated_conjecture,
    ( c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp2
    | ~ hskp29
    | ~ hskp12
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[130,88935,theory(equality)]) ).

cnf(88943,negated_conjecture,
    ( c2_1(a2428)
    | c0_1(a2428)
    | ~ hskp18
    | ~ hskp29
    | ~ hskp12
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[66,88935,theory(equality)]) ).

cnf(89442,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | c0_1(a2455)
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[6998,65226]) ).

cnf(89443,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2455)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[89442,46]) ).

cnf(89445,negated_conjecture,
    ( c2_1(a2404)
    | c1_1(a2455)
    | ~ hskp2
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[130,89443,theory(equality)]) ).

cnf(89828,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp30
    | ~ hskp18 ),
    inference(csr,[status(thm)],[88694,17303]) ).

cnf(89848,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp20
    | ~ hskp30 ),
    inference(spm,[status(thm)],[89828,43034,theory(equality)]) ).

cnf(89858,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp7
    | hskp3
    | ~ hskp30 ),
    inference(spm,[status(thm)],[89828,68158,theory(equality)]) ).

cnf(89859,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp19
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[89828,68565,theory(equality)]) ).

cnf(89896,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[89848,62090]) ).

cnf(89941,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[88727,14439]) ).

cnf(89942,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp7 ),
    inference(csr,[status(thm)],[89941,73968]) ).

cnf(89970,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[88888,77940]) ).

cnf(89983,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[89970,36731,theory(equality)]) ).

cnf(90013,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp11 ),
    inference(csr,[status(thm)],[89983,77940]) ).

cnf(90495,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp3
    | ~ hskp30 ),
    inference(csr,[status(thm)],[89858,8244]) ).

cnf(90497,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17442,90495,theory(equality)]) ).

cnf(90498,negated_conjecture,
    ( hskp2
    | hskp7
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[34149,90495,theory(equality)]) ).

cnf(90499,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp2
    | ~ hskp19
    | ~ hskp1 ),
    inference(spm,[status(thm)],[90497,9300,theory(equality)]) ).

cnf(90516,negated_conjecture,
    ( hskp6
    | hskp2
    | ~ hskp30 ),
    inference(csr,[status(thm)],[90498,34161]) ).

cnf(90519,negated_conjecture,
    ( hskp6
    | hskp2
    | hskp19 ),
    inference(spm,[status(thm)],[90516,28302,theory(equality)]) ).

cnf(90658,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[89859,28302]) ).

cnf(90659,negated_conjecture,
    ( hskp19
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[90658,8244]) ).

cnf(91072,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp2
    | ~ hskp19 ),
    inference(csr,[status(thm)],[90499,8649]) ).

cnf(91073,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[91072,90519]) ).

cnf(91074,negated_conjecture,
    ( hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[91073,34161]) ).

cnf(92264,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[61875,65836]) ).

cnf(92265,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[92264,31822]) ).

cnf(92270,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0
    | hskp11
    | ~ hskp15 ),
    inference(spm,[status(thm)],[92265,14431,theory(equality)]) ).

cnf(92282,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[92270,79985]) ).

cnf(92666,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | ~ hskp21
    | ~ hskp11 ),
    inference(csr,[status(thm)],[61947,77398]) ).

cnf(92667,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | ~ hskp11 ),
    inference(csr,[status(thm)],[92666,81155]) ).

cnf(92668,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[92667,31822]) ).

cnf(93225,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[63540,59123]) ).

cnf(93226,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[93225,2646]) ).

cnf(93228,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2283,93226,theory(equality)]) ).

cnf(93271,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[93228,76930]) ).

cnf(93272,negated_conjecture,
    ( hskp11
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[93271,7874]) ).

cnf(93275,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp21
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58727,93272,theory(equality)]) ).

cnf(93316,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp21
    | ~ hskp9 ),
    inference(csr,[status(thm)],[93275,76930]) ).

cnf(93317,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[93316,27793]) ).

cnf(95342,negated_conjecture,
    ( hskp13
    | hskp1
    | ~ hskp30
    | ~ hskp8
    | ~ hskp2 ),
    inference(csr,[status(thm)],[67965,12826]) ).

cnf(95773,negated_conjecture,
    ( hskp18
    | hskp7
    | ~ hskp30
    | ~ hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[68100,40016]) ).

cnf(95774,negated_conjecture,
    ( hskp18
    | hskp7
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[95773,68564]) ).

cnf(95775,negated_conjecture,
    ( hskp18
    | hskp7
    | hskp9
    | ~ hskp30 ),
    inference(spm,[status(thm)],[95774,8,theory(equality)]) ).

cnf(95800,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[88120,95775,theory(equality)]) ).

cnf(96078,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp30
    | ~ hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[68114,91074]) ).

cnf(96079,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[96078,40016]) ).

cnf(96080,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp9
    | hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[96079,8,theory(equality)]) ).

cnf(96097,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[96080,38834]) ).

cnf(96098,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[96097,34161]) ).

cnf(96425,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp10
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[8777,8838]) ).

cnf(96938,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp13
    | hskp5
    | c2_1(a2403)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[8897,136]) ).

cnf(96939,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp13
    | hskp5
    | c2_1(a2403) ),
    inference(csr,[status(thm)],[96938,77326]) ).

cnf(96940,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp5
    | c2_1(a2403) ),
    inference(csr,[status(thm)],[96939,9022]) ).

cnf(96941,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp5
    | ~ hskp1 ),
    inference(spm,[status(thm)],[135,96940,theory(equality)]) ).

cnf(96987,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp5 ),
    inference(csr,[status(thm)],[96941,77326]) ).

cnf(96993,negated_conjecture,
    ( hskp19
    | hskp5
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26657,96987,theory(equality)]) ).

cnf(97025,negated_conjecture,
    ( hskp19
    | hskp5 ),
    inference(csr,[status(thm)],[96993,24228]) ).

cnf(98641,negated_conjecture,
    ( hskp30
    | hskp11
    | ~ hskp19
    | ~ hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[71157,71671]) ).

cnf(98642,negated_conjecture,
    ( hskp30
    | hskp11
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[98641,93317]) ).

cnf(98669,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp2
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[71161,91074]) ).

cnf(98670,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp2
    | ~ hskp19 ),
    inference(csr,[status(thm)],[98669,38834]) ).

cnf(98671,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp2 ),
    inference(csr,[status(thm)],[98670,34444]) ).

cnf(98843,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3
    | ~ c2_1(a2405)
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[9777,128]) ).

cnf(98844,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[98843,127]) ).

cnf(98845,negated_conjecture,
    ( hskp20
    | hskp24
    | hskp15
    | ~ hskp29
    | ~ hskp3 ),
    inference(spm,[status(thm)],[98844,4282,theory(equality)]) ).

cnf(98847,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[98844,63373,theory(equality)]) ).

cnf(98848,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[98844,64736,theory(equality)]) ).

cnf(98884,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp15
    | ~ hskp29 ),
    inference(csr,[status(thm)],[98845,4285]) ).

cnf(99211,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[9779,100]) ).

cnf(99309,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp14
    | ~ c1_1(a2409)
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[9780,83]) ).

cnf(99395,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp29
    | ~ hskp16
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[98848,27133,theory(equality)]) ).

cnf(99396,negated_conjecture,
    ( hskp20
    | hskp10
    | ~ hskp29
    | ~ hskp16
    | ~ hskp3 ),
    inference(spm,[status(thm)],[98848,37593,theory(equality)]) ).

cnf(99397,negated_conjecture,
    ( hskp20
    | hskp10
    | ~ hskp29
    | ~ hskp3 ),
    inference(csr,[status(thm)],[99396,81676]) ).

cnf(99661,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[71649,61024]) ).

cnf(99662,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[99661,71758]) ).

cnf(99712,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp25
    | ~ c2_1(a2478)
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[9784,39]) ).

cnf(99713,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp25
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[99712,40]) ).

cnf(99714,negated_conjecture,
    ( hskp20
    | ~ hskp25
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[99713,39]) ).

cnf(99715,negated_conjecture,
    ( hskp20
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[99714,86327]) ).

cnf(99716,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | ~ c2_1(a2478)
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[99715,1581,theory(equality)]) ).

cnf(99719,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | c1_1(a2478)
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[99715,1609,theory(equality)]) ).

cnf(99722,negated_conjecture,
    ( hskp20
    | hskp28
    | hskp12
    | hskp3
    | c1_1(a2478) ),
    inference(spm,[status(thm)],[99715,3541,theory(equality)]) ).

cnf(99730,negated_conjecture,
    ( hskp20
    | hskp29
    | c1_1(a2478)
    | ~ c2_1(a2478)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[99715,19316,theory(equality)]) ).

cnf(99738,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | c1_1(a2478)
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[99715,2826,theory(equality)]) ).

cnf(99852,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | ~ c1_1(a2478)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[99716,40,theory(equality)]) ).

cnf(99859,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[99852,86327]) ).

cnf(99868,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp2
    | ~ hskp25
    | ~ hskp6 ),
    inference(spm,[status(thm)],[99859,30916,theory(equality)]) ).

cnf(99870,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp28
    | hskp3 ),
    inference(spm,[status(thm)],[99859,99722,theory(equality)]) ).

cnf(99895,negated_conjecture,
    ( hskp10
    | hskp20
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp16 ),
    inference(spm,[status(thm)],[37601,99870,theory(equality)]) ).

cnf(100136,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[99719,40,theory(equality)]) ).

cnf(100145,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | c1_1(a2478) ),
    inference(csr,[status(thm)],[100136,86327]) ).

cnf(100171,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp9
    | hskp8 ),
    inference(spm,[status(thm)],[99859,100145,theory(equality)]) ).

cnf(100417,negated_conjecture,
    ( hskp29
    | hskp20
    | c1_1(a2478)
    | ~ hskp0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[99730,40,theory(equality)]) ).

cnf(100429,negated_conjecture,
    ( hskp29
    | hskp20
    | c1_1(a2478)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[100417,86327]) ).

cnf(100439,negated_conjecture,
    ( hskp4
    | hskp29
    | hskp20
    | ~ hskp25
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[44369,100429,theory(equality)]) ).

cnf(100455,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[99859,100429,theory(equality)]) ).

cnf(100492,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[69026,100455,theory(equality)]) ).

cnf(100579,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[99738,40,theory(equality)]) ).

cnf(100591,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | c1_1(a2478) ),
    inference(csr,[status(thm)],[100579,86327]) ).

cnf(100601,negated_conjecture,
    ( hskp4
    | hskp20
    | hskp16
    | hskp12
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44369,100591,theory(equality)]) ).

cnf(101207,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp19
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[71744,91074]) ).

cnf(101208,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp19
    | ~ hskp8
    | ~ hskp9 ),
    inference(spm,[status(thm)],[101207,29971,theory(equality)]) ).

cnf(101251,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[101208,96098]) ).

cnf(101260,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp12
    | ~ hskp19
    | ~ hskp20 ),
    inference(spm,[status(thm)],[101251,76453,theory(equality)]) ).

cnf(101322,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp2
    | ~ hskp19 ),
    inference(csr,[status(thm)],[101260,31822]) ).

cnf(101753,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp11
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[71860,92668]) ).

cnf(101754,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[101753,36411]) ).

cnf(101951,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp20
    | ~ hskp14
    | ~ hskp11 ),
    inference(csr,[status(thm)],[71866,91074]) ).

cnf(101962,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp20
    | ~ hskp11
    | ~ hskp18 ),
    inference(spm,[status(thm)],[101951,12227,theory(equality)]) ).

cnf(103847,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp1
    | hskp30
    | ~ hskp18
    | ~ hskp2 ),
    inference(spm,[status(thm)],[73153,12,theory(equality)]) ).

cnf(104141,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp3
    | hskp1
    | hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[74659,15453,theory(equality)]) ).

cnf(105298,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp12
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[76489,34444]) ).

cnf(105299,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[105298,101322]) ).

cnf(107206,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[78515,31822]) ).

cnf(107208,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[107206,6861,theory(equality)]) ).

cnf(107219,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[107206,30339,theory(equality)]) ).

cnf(107436,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp3
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[107219,5683,theory(equality)]) ).

cnf(107909,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp5
    | ~ hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[78523,97025]) ).

cnf(107910,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp5
    | ~ hskp18 ),
    inference(csr,[status(thm)],[107909,97025]) ).

cnf(107911,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp5 ),
    inference(csr,[status(thm)],[107910,97025]) ).

cnf(107912,negated_conjecture,
    ( hskp20
    | hskp5 ),
    inference(csr,[status(thm)],[107911,31822]) ).

cnf(108300,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[78527,31822]) ).

cnf(108313,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[108300,30339,theory(equality)]) ).

cnf(108526,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[78530,68294]) ).

cnf(108540,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp20
    | ~ hskp18
    | ~ hskp11
    | ~ hskp3 ),
    inference(spm,[status(thm)],[108526,31162,theory(equality)]) ).

cnf(108690,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[78542,5697]) ).

cnf(108692,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[108690,6861,theory(equality)]) ).

cnf(109005,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[78566,71671]) ).

cnf(109042,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp0
    | ~ hskp11
    | ~ hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[109005,82116,theory(equality)]) ).

cnf(110693,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp12
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[81638,40951]) ).

cnf(110694,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[110693,77825]) ).

cnf(110715,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp1
    | hskp30
    | ~ hskp11 ),
    inference(spm,[status(thm)],[110694,92668,theory(equality)]) ).

cnf(110853,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[110715,36367]) ).

cnf(111090,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp3
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[81917,58090]) ).

cnf(111091,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[111090,21651]) ).

cnf(113988,negated_conjecture,
    ( hskp26
    | hskp9
    | hskp6
    | ~ hskp23
    | ~ hskp12 ),
    inference(csr,[status(thm)],[87014,35733]) ).

cnf(114002,negated_conjecture,
    ( hskp26
    | hskp9
    | hskp6
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[113988,15881,theory(equality)]) ).

cnf(114006,negated_conjecture,
    ( hskp26
    | hskp9
    | hskp6
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[113988,36366,theory(equality)]) ).

cnf(114136,negated_conjecture,
    ( hskp26
    | hskp9
    | hskp6
    | ~ hskp30 ),
    inference(csr,[status(thm)],[114002,17303]) ).

cnf(114144,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp9
    | hskp6
    | ~ hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17730,114136,theory(equality)]) ).

cnf(114244,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp23
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[87339,1729]) ).

cnf(114262,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp12
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[114244,36366,theory(equality)]) ).

cnf(114308,negated_conjecture,
    ( hskp30
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[114262,80131]) ).

cnf(114351,negated_conjecture,
    ( hskp30
    | ~ hskp11
    | ~ hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[114308,101754,theory(equality)]) ).

cnf(114730,negated_conjecture,
    ( hskp18
    | hskp9
    | ~ hskp30
    | ~ hskp23
    | ~ hskp8 ),
    inference(csr,[status(thm)],[87731,36163]) ).

cnf(114755,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp21
    | ~ hskp30
    | ~ hskp8
    | ~ hskp19 ),
    inference(spm,[status(thm)],[114730,48775,theory(equality)]) ).

cnf(114821,negated_conjecture,
    ( hskp21
    | hskp9
    | ~ hskp30
    | ~ hskp23
    | ~ hskp19 ),
    inference(csr,[status(thm)],[87733,35164]) ).

cnf(114822,negated_conjecture,
    ( hskp21
    | hskp9
    | ~ hskp30
    | ~ hskp19 ),
    inference(csr,[status(thm)],[114821,48775]) ).

cnf(114823,negated_conjecture,
    ( hskp21
    | hskp9
    | ~ hskp19 ),
    inference(csr,[status(thm)],[114822,53904]) ).

cnf(115627,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[10613,136]) ).

cnf(115710,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[115627,86932,theory(equality)]) ).

cnf(115844,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp3
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[88271,51672]) ).

cnf(115852,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp1
    | ~ hskp18
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[27394,115844,theory(equality)]) ).

cnf(116105,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp16
    | ~ c2_1(a2432)
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[10619,76]) ).

cnf(116106,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp16
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[116105,37593]) ).

cnf(116116,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp16
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[116106,71599,theory(equality)]) ).

cnf(116210,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp16
    | ~ hskp4 ),
    inference(csr,[status(thm)],[116116,70974]) ).

cnf(116211,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp16
    | ~ hskp9 ),
    inference(spm,[status(thm)],[116210,29971,theory(equality)]) ).

cnf(116256,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[116211,72006]) ).

cnf(116278,negated_conjecture,
    ( hskp3
    | ~ hskp19
    | ~ hskp18
    | ~ hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[88501,71959]) ).

cnf(116723,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp6
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[88889,12350]) ).

cnf(116724,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[116723,7874]) ).

cnf(116725,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[116724,61010]) ).

cnf(118744,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp3
    | ~ c1_1(a2455)
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[10755,128]) ).

cnf(118745,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[118744,23044]) ).

cnf(118747,negated_conjecture,
    ( hskp10
    | hskp19
    | ~ hskp23
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[118745,26490,theory(equality)]) ).

cnf(118748,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp3
    | ~ hskp4 ),
    inference(spm,[status(thm)],[118745,42669,theory(equality)]) ).

cnf(118761,negated_conjecture,
    ( hskp10
    | hskp16
    | hskp12
    | ~ hskp23
    | ~ hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[118748,44400,theory(equality)]) ).

cnf(118797,negated_conjecture,
    ( hskp19
    | ~ hskp23
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[118747,26657]) ).

cnf(118800,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp12
    | ~ hskp23
    | ~ hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[118797,6548,theory(equality)]) ).

cnf(119109,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp16
    | ~ c1_1(a2455)
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[10759,76]) ).

cnf(119110,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp16
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[119109,37593]) ).

cnf(119111,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp16 ),
    inference(csr,[status(thm)],[119110,23044]) ).

cnf(119112,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ hskp16
    | ~ hskp30 ),
    inference(spm,[status(thm)],[119111,2285,theory(equality)]) ).

cnf(119180,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp12
    | ~ hskp30
    | ~ hskp5 ),
    inference(spm,[status(thm)],[119112,9212,theory(equality)]) ).

cnf(119189,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[119112,51672,theory(equality)]) ).

cnf(119589,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp10
    | ~ hskp30 ),
    inference(csr,[status(thm)],[119180,57540]) ).

cnf(119590,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp30 ),
    inference(csr,[status(thm)],[119589,119189]) ).

cnf(121533,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp12
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[95800,114308]) ).

cnf(121534,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[121533,38411]) ).

cnf(121856,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp10
    | ~ hskp28
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[10884,116,theory(equality)]) ).

cnf(123823,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp3
    | ~ c1_1(a2409)
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[10992,128]) ).

cnf(124021,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2409)
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[10996,76]) ).

cnf(124022,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[124021,37593]) ).

cnf(124026,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[124022,64736,theory(equality)]) ).

cnf(124048,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp16 ),
    inference(csr,[status(thm)],[124026,37593]) ).

cnf(124052,negated_conjecture,
    ( hskp10
    | ~ hskp16
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[124048,25395,theory(equality)]) ).

cnf(124076,negated_conjecture,
    ( hskp10
    | hskp12
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[124052,30339,theory(equality)]) ).

cnf(124081,negated_conjecture,
    ( hskp10
    | ~ hskp9
    | ~ hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[124052,51672,theory(equality)]) ).

cnf(124140,negated_conjecture,
    ( hskp10
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[124081,124076]) ).

cnf(124236,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp26
    | ~ c1_1(a2409)
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[11000,36]) ).

cnf(124237,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp26
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[124236,35]) ).

cnf(124247,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp29
    | ~ hskp26 ),
    inference(spm,[status(thm)],[124237,69152,theory(equality)]) ).

cnf(124280,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp26
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[124247,25395,theory(equality)]) ).

cnf(124366,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp26
    | ~ hskp9 ),
    inference(csr,[status(thm)],[124280,79011]) ).

cnf(124367,negated_conjecture,
    ( hskp10
    | hskp2
    | hskp11
    | hskp8
    | ~ hskp9 ),
    inference(spm,[status(thm)],[124366,11,theory(equality)]) ).

cnf(124384,negated_conjecture,
    ( hskp10
    | hskp8
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[124367,60105]) ).

cnf(124402,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp2
    | ~ hskp9 ),
    inference(spm,[status(thm)],[40016,124384,theory(equality)]) ).

cnf(124413,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp10
    | hskp2
    | ~ hskp30
    | ~ hskp9 ),
    inference(spm,[status(thm)],[68157,124384,theory(equality)]) ).

cnf(124457,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp2 ),
    inference(csr,[status(thm)],[124402,96098]) ).

cnf(125086,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp29
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[99395,31164]) ).

cnf(125087,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[125086,31164]) ).

cnf(125088,negated_conjecture,
    ( hskp20
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[125087,31822]) ).

cnf(125094,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[125088,12826,theory(equality)]) ).

cnf(125965,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp2
    | ~ hskp25 ),
    inference(csr,[status(thm)],[99868,91074]) ).

cnf(125966,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp2 ),
    inference(csr,[status(thm)],[125965,86327]) ).

cnf(125968,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp2
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,125966,theory(equality)]) ).

cnf(126017,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp2 ),
    inference(csr,[status(thm)],[125968,98671]) ).

cnf(126293,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[99895,83732]) ).

cnf(126294,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[126293,60105]) ).

cnf(126296,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp3
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,126294,theory(equality)]) ).

cnf(126341,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[126296,79278]) ).

cnf(126530,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp4
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[100439,86327]) ).

cnf(126583,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp15
    | hskp4
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[98884,126530,theory(equality)]) ).

cnf(127127,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | hskp4
    | ~ hskp25 ),
    inference(csr,[status(thm)],[100601,44400]) ).

cnf(127128,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[127127,86327]) ).

cnf(127133,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp16
    | hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[42676,127128,theory(equality)]) ).

cnf(127136,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | ~ hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71114,127128,theory(equality)]) ).

cnf(127284,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | hskp10 ),
    inference(csr,[status(thm)],[127133,126341]) ).

cnf(127285,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp10 ),
    inference(csr,[status(thm)],[127284,51672]) ).

cnf(127308,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | ~ hskp8 ),
    inference(csr,[status(thm)],[127136,73832]) ).

cnf(127319,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[107206,127308,theory(equality)]) ).

cnf(127462,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[127319,49374]) ).

cnf(127463,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9
    | hskp7
    | ~ hskp11 ),
    inference(spm,[status(thm)],[127462,8,theory(equality)]) ).

cnf(127480,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp7
    | ~ hskp11 ),
    inference(csr,[status(thm)],[127463,121534]) ).

cnf(127850,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | hskp0
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[11178,44]) ).

cnf(127851,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(X1)
    | c3_1(X1)
    | hskp0
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[127850,43]) ).

cnf(128015,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[101962,105299]) ).

cnf(128016,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[128015,126017]) ).

cnf(128021,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | hskp30 ),
    inference(spm,[status(thm)],[128016,41975,theory(equality)]) ).

cnf(128055,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp2 ),
    inference(csr,[status(thm)],[128021,9300]) ).

cnf(128131,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp11
    | hskp3
    | ~ c1_1(a2420) ),
    inference(csr,[status(thm)],[11195,14319]) ).

cnf(128132,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[128131,84,theory(equality)]) ).

cnf(128191,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[128132,14319]) ).

cnf(128198,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | hskp3 ),
    inference(spm,[status(thm)],[12989,128191,theory(equality)]) ).

cnf(128421,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | ~ hskp14
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[11410,84]) ).

cnf(128427,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | ~ hskp14
    | ~ c2_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,128421,theory(equality)]) ).

cnf(129079,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp3
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[103847,34444]) ).

cnf(129225,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3
    | hskp1
    | ~ hskp9 ),
    inference(csr,[status(thm)],[104141,31822]) ).

cnf(129256,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[128016,129225,theory(equality)]) ).

cnf(129301,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp9 ),
    inference(csr,[status(thm)],[129256,34149]) ).

cnf(129303,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[44682,129301,theory(equality)]) ).

cnf(129319,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[129303,59217]) ).

cnf(129320,negated_conjecture,
    ( hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[129319,82400]) ).

cnf(129667,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[107436,127480]) ).

cnf(129753,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | hskp0
    | ~ hskp24
    | ~ c2_1(X1)
    | ~ c1_1(a2468) ),
    inference(csr,[status(thm)],[11445,61047]) ).

cnf(129754,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | hskp0
    | ~ hskp24
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[129753,44]) ).

cnf(129755,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[129754,61047]) ).

cnf(129756,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | hskp11
    | c3_1(X1)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[129755,100455]) ).

cnf(129765,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | hskp11
    | ~ hskp24 ),
    inference(spm,[status(thm)],[42,129756,theory(equality)]) ).

cnf(129935,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp12
    | hskp11
    | ~ hskp3
    | ~ hskp24 ),
    inference(spm,[status(thm)],[99397,129765,theory(equality)]) ).

cnf(130185,negated_conjecture,
    ( hskp30
    | ~ hskp5
    | ~ hskp3
    | ~ c1_1(a2408)
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[11537,128]) ).

cnf(130353,negated_conjecture,
    ( hskp30
    | ~ hskp14
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[11540,84]) ).

cnf(130383,negated_conjecture,
    ( hskp30
    | hskp4
    | ~ hskp14
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[130353,43523,theory(equality)]) ).

cnf(130446,negated_conjecture,
    ( hskp30
    | ~ hskp16
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[11541,76]) ).

cnf(130447,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(spm,[status(thm)],[130446,6216,theory(equality)]) ).

cnf(130450,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp16
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(spm,[status(thm)],[130446,37593,theory(equality)]) ).

cnf(130478,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16
    | ~ hskp5 ),
    inference(csr,[status(thm)],[130447,6125]) ).

cnf(130479,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp16 ),
    inference(csr,[status(thm)],[130478,53895]) ).

cnf(130493,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp12 ),
    inference(spm,[status(thm)],[130479,44551,theory(equality)]) ).

cnf(130538,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp11 ),
    inference(spm,[status(thm)],[45603,130493,theory(equality)]) ).

cnf(130554,negated_conjecture,
    ( hskp30
    | hskp21 ),
    inference(csr,[status(thm)],[130538,81155]) ).

cnf(130623,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[11545,36]) ).

cnf(130624,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[130623,35]) ).

cnf(130626,negated_conjecture,
    ( hskp30
    | hskp1
    | ~ hskp26
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[130624,34750,theory(equality)]) ).

cnf(130661,negated_conjecture,
    ( hskp30
    | hskp1
    | ~ hskp26
    | ~ hskp17 ),
    inference(csr,[status(thm)],[130626,77326]) ).

cnf(130662,negated_conjecture,
    ( hskp30
    | hskp1
    | hskp18
    | ~ hskp26
    | ~ hskp8 ),
    inference(spm,[status(thm)],[130661,2803,theory(equality)]) ).

cnf(130672,negated_conjecture,
    ( hskp30
    | hskp18
    | hskp1
    | hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[130662,12,theory(equality)]) ).

cnf(130680,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[130672,68564]) ).

cnf(131241,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp2
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[108313,90013]) ).

cnf(131242,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp2
    | ~ hskp18 ),
    inference(csr,[status(thm)],[131241,126017]) ).

cnf(131249,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp2
    | hskp7
    | hskp3 ),
    inference(spm,[status(thm)],[131242,5683,theory(equality)]) ).

cnf(131303,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[131249,34149]) ).

cnf(131304,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp2 ),
    inference(csr,[status(thm)],[131303,34161]) ).

cnf(131306,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17283,131304,theory(equality)]) ).

cnf(131356,negated_conjecture,
    ( hskp12
    | hskp2 ),
    inference(csr,[status(thm)],[131306,128055]) ).

cnf(131439,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[108540,35268]) ).

cnf(131843,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[108692,38411]) ).

cnf(131844,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[131843,12827]) ).

cnf(132247,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp0
    | ~ hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[109042,59217]) ).

cnf(132248,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[132247,61488]) ).

cnf(132249,negated_conjecture,
    ( hskp15
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[132248,44667]) ).

cnf(132251,negated_conjecture,
    ( hskp15
    | hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[132249,31822,theory(equality)]) ).

cnf(132715,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp3
    | c2_1(a2404)
    | c1_1(a2404)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[11643,1627]) ).

cnf(132716,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp3
    | c2_1(a2404)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[132715,132]) ).

cnf(132717,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp3
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[132716,131]) ).

cnf(132719,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp3
    | c1_1(a2404)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[130,132717,theory(equality)]) ).

cnf(132845,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[132719,132]) ).

cnf(132869,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp16
    | ~ hskp2 ),
    inference(spm,[status(thm)],[37601,132845,theory(equality)]) ).

cnf(132910,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[132869,51672,theory(equality)]) ).

cnf(132950,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[132910,126341]) ).

cnf(134563,negated_conjecture,
    ( hskp26
    | hskp9
    | hskp6
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[114006,35733]) ).

cnf(134564,negated_conjecture,
    ( hskp26
    | hskp9
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[134563,7874]) ).

cnf(134569,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp9
    | hskp6
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[17730,134564,theory(equality)]) ).

cnf(134774,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2411)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp7
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[11677,112]) ).

cnf(134775,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp7
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[134774,111]) ).

cnf(134779,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2411)
    | ~ hskp7
    | ~ c2_1(a2411) ),
    inference(spm,[status(thm)],[110,134775,theory(equality)]) ).

cnf(134993,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2411)
    | ~ c1_1(a2411) ),
    inference(csr,[status(thm)],[11679,1627]) ).

cnf(134994,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2411) ),
    inference(csr,[status(thm)],[134993,1627]) ).

cnf(134995,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[134994,1627]) ).

cnf(134996,negated_conjecture,
    ( hskp28
    | hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[134995,34149]) ).

cnf(135004,negated_conjecture,
    ( hskp28
    | hskp2
    | c1_1(a2428)
    | c0_1(a2428)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[66,134996,theory(equality)]) ).

cnf(135228,negated_conjecture,
    ( hskp28
    | hskp3
    | c1_1(a2411)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[134779,112]) ).

cnf(135229,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[135228,111]) ).

cnf(135232,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp3
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2996,135229,theory(equality)]) ).

cnf(135233,negated_conjecture,
    ( hskp23
    | hskp21
    | hskp17
    | hskp14
    | hskp3
    | ~ hskp7 ),
    inference(spm,[status(thm)],[4017,135229,theory(equality)]) ).

cnf(135240,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp3
    | ~ hskp7 ),
    inference(spm,[status(thm)],[15432,135229,theory(equality)]) ).

cnf(135253,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[37601,135229,theory(equality)]) ).

cnf(135257,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[78087,135229,theory(equality)]) ).

cnf(135266,negated_conjecture,
    ( hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[88075,135229,theory(equality)]) ).

cnf(135409,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[135232,30506]) ).

cnf(135450,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | hskp20
    | hskp3
    | ~ hskp7 ),
    inference(spm,[status(thm)],[74829,135240,theory(equality)]) ).

cnf(135462,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[107208,135240,theory(equality)]) ).

cnf(135515,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[135253,51672,theory(equality)]) ).

cnf(135727,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[135515,126341]) ).

cnf(135886,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[11729,2285]) ).

cnf(135888,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ c1_1(a2405)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[135886,128,theory(equality)]) ).

cnf(135891,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ c1_1(a2410)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[135886,116,theory(equality)]) ).

cnf(135895,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ c1_1(a2484)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[135886,36,theory(equality)]) ).

cnf(135898,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ c1_1(a2498)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[135886,16,theory(equality)]) ).

cnf(136042,negated_conjecture,
    ( hskp4
    | hskp9
    | hskp3
    | hskp1
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[44191,135257,theory(equality)]) ).

cnf(136119,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[135462,129667]) ).

cnf(136120,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5699,136119,theory(equality)]) ).

cnf(136122,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[35268,136119,theory(equality)]) ).

cnf(136128,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp1
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[77357,136119,theory(equality)]) ).

cnf(136142,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[111091,136119,theory(equality)]) ).

cnf(136259,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[136142,58090]) ).

cnf(136473,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[136120,15869]) ).

cnf(136513,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[136128,128198]) ).

cnf(137395,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ hskp6 ),
    inference(csr,[status(thm)],[135891,115]) ).

cnf(137397,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp14
    | ~ hskp15
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2283,137395,theory(equality)]) ).

cnf(137434,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ hskp16
    | ~ hskp15
    | ~ hskp6 ),
    inference(spm,[status(thm)],[119111,137395,theory(equality)]) ).

cnf(137467,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp16
    | ~ hskp15 ),
    inference(csr,[status(thm)],[137434,70974]) ).

cnf(137482,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[137467,51672,theory(equality)]) ).

cnf(137495,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp12
    | hskp11
    | ~ hskp15 ),
    inference(spm,[status(thm)],[137467,83732,theory(equality)]) ).

cnf(137628,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[137495,60105]) ).

cnf(137629,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[137628,137482]) ).

cnf(137667,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp26
    | ~ hskp15 ),
    inference(csr,[status(thm)],[135895,35]) ).

cnf(137831,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp31
    | ~ hskp15 ),
    inference(csr,[status(thm)],[135898,15]) ).

cnf(137832,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp27
    | hskp25
    | ~ hskp15 ),
    inference(spm,[status(thm)],[137831,13,theory(equality)]) ).

cnf(137833,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp25
    | hskp23
    | hskp14
    | ~ hskp15 ),
    inference(spm,[status(thm)],[12092,137832,theory(equality)]) ).

cnf(137857,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp7
    | hskp6
    | ~ hskp30 ),
    inference(csr,[status(thm)],[114144,89942]) ).

cnf(137858,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp7
    | ~ hskp30 ),
    inference(csr,[status(thm)],[137857,4859]) ).

cnf(137859,negated_conjecture,
    ( hskp25
    | hskp7
    | ~ hskp30 ),
    inference(csr,[status(thm)],[137858,73968]) ).

cnf(137873,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[11924,128]) ).

cnf(137874,negated_conjecture,
    ( hskp15
    | hskp30
    | ~ hskp19
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(spm,[status(thm)],[1701,137873,theory(equality)]) ).

cnf(137965,negated_conjecture,
    ( hskp30
    | ~ hskp19
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[137874,13896]) ).

cnf(137966,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp12
    | ~ hskp19
    | ~ hskp3 ),
    inference(spm,[status(thm)],[137965,6742,theory(equality)]) ).

cnf(137969,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp19
    | ~ hskp3 ),
    inference(csr,[status(thm)],[137966,17313]) ).

cnf(138161,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[11928,76]) ).

cnf(138162,negated_conjecture,
    ( hskp15
    | hskp30
    | ~ hskp19
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[1701,138161,theory(equality)]) ).

cnf(138218,negated_conjecture,
    ( hskp30
    | ~ hskp19
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[138162,14055]) ).

cnf(138221,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp19
    | ~ hskp16 ),
    inference(spm,[status(thm)],[138218,37593,theory(equality)]) ).

cnf(138228,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp15
    | ~ hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[138221,9187,theory(equality)]) ).

cnf(138365,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp10
    | ~ hskp19 ),
    inference(csr,[status(thm)],[138228,132251]) ).

cnf(138366,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp19 ),
    inference(csr,[status(thm)],[138365,79209]) ).

cnf(138422,negated_conjecture,
    ( hskp28
    | hskp2
    | c1_1(a2428)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[135004,68]) ).

cnf(138437,negated_conjecture,
    ( hskp4
    | hskp28
    | hskp2
    | ~ hskp18
    | ~ hskp11 ),
    inference(spm,[status(thm)],[44057,138422,theory(equality)]) ).

cnf(138451,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp29
    | ~ hskp21
    | ~ hskp18 ),
    inference(spm,[status(thm)],[60434,138422,theory(equality)]) ).

cnf(138453,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp18
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[71464,138422,theory(equality)]) ).

cnf(138502,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp26
    | ~ hskp19
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[11932,36]) ).

cnf(138503,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | ~ hskp26
    | ~ hskp19 ),
    inference(csr,[status(thm)],[138502,35]) ).

cnf(138504,negated_conjecture,
    ( hskp15
    | hskp30
    | ~ hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1701,138503,theory(equality)]) ).

cnf(138560,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp19 ),
    inference(csr,[status(thm)],[138504,14430]) ).

cnf(138561,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp8
    | ~ hskp19 ),
    inference(spm,[status(thm)],[138560,11,theory(equality)]) ).

cnf(138724,negated_conjecture,
    ( hskp4
    | hskp2
    | ~ hskp18
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[88075,138437,theory(equality)]) ).

cnf(138732,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp21
    | ~ hskp18
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[138451,25395,theory(equality)]) ).

cnf(138749,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp18
    | ~ hskp4 ),
    inference(csr,[status(thm)],[138453,91074]) ).

cnf(138786,negated_conjecture,
    ( hskp2
    | ~ hskp18
    | ~ hskp12
    | ~ hskp4 ),
    inference(spm,[status(thm)],[88075,138749,theory(equality)]) ).

cnf(138792,negated_conjecture,
    ( hskp2
    | ~ hskp18
    | ~ hskp4 ),
    inference(csr,[status(thm)],[138786,131356]) ).

cnf(139407,negated_conjecture,
    ( hskp4
    | hskp2
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[138724,131356]) ).

cnf(139408,negated_conjecture,
    ( hskp2
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[139407,138792]) ).

cnf(139418,negated_conjecture,
    ( hskp2
    | hskp20
    | ~ hskp11
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[139408,25396,theory(equality)]) ).

cnf(139656,negated_conjecture,
    ( hskp30
    | c2_1(a2432)
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp19
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[11942,6142]) ).

cnf(139657,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp19
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[139656,6762]) ).

cnf(139661,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp19
    | ~ c1_1(a2418)
    | ~ c3_1(X2)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[139657,87,theory(equality)]) ).

cnf(139848,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[139418,129320]) ).

cnf(139849,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp11 ),
    inference(csr,[status(thm)],[139848,90013]) ).

cnf(140972,negated_conjecture,
    ( hskp30
    | ~ hskp20
    | ~ hskp3
    | ~ c1_1(a2435)
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[12019,128]) ).

cnf(140973,negated_conjecture,
    ( hskp30
    | ~ hskp3
    | ~ c1_1(a2435)
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[140972,31161]) ).

cnf(140974,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[140973,1794,theory(equality)]) ).

cnf(140992,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[140974,31161]) ).

cnf(141220,negated_conjecture,
    ( hskp30
    | ~ hskp20
    | ~ hskp14
    | ~ c1_1(a2435)
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[12022,84]) ).

cnf(141250,negated_conjecture,
    ( hskp30
    | hskp4
    | ~ hskp20
    | ~ hskp14
    | ~ c1_1(a2435)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[141220,43523,theory(equality)]) ).

cnf(141442,negated_conjecture,
    ( hskp30
    | ~ hskp20
    | ~ hskp16
    | ~ c1_1(a2435)
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[12023,76]) ).

cnf(141443,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp20
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[141442,1794,theory(equality)]) ).

cnf(141460,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[141443,17283]) ).

cnf(141463,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[141460,37593,theory(equality)]) ).

cnf(141488,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[141463,83732,theory(equality)]) ).

cnf(141632,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp20 ),
    inference(csr,[status(thm)],[141488,60105]) ).

cnf(141657,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp5 ),
    inference(spm,[status(thm)],[141632,107912,theory(equality)]) ).

cnf(141690,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[65096,141657,theory(equality)]) ).

cnf(141772,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[12027,36]) ).

cnf(141773,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[141772,35]) ).

cnf(141774,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp26
    | ~ hskp20 ),
    inference(spm,[status(thm)],[141773,1794,theory(equality)]) ).

cnf(141810,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp20 ),
    inference(csr,[status(thm)],[141774,17283]) ).

cnf(141811,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[141810,11,theory(equality)]) ).

cnf(141812,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp19
    | ~ hskp20 ),
    inference(spm,[status(thm)],[141810,12,theory(equality)]) ).

cnf(142017,negated_conjecture,
    ( hskp19
    | hskp12
    | ~ hskp20 ),
    inference(csr,[status(thm)],[141812,17283]) ).

cnf(142651,negated_conjecture,
    ( hskp30
    | hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp20
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[12049,1794]) ).

cnf(142652,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp20
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[142651,17283]) ).

cnf(144155,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp9
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[114755,68564]) ).

cnf(144156,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp9
    | ~ hskp8 ),
    inference(csr,[status(thm)],[144155,130554]) ).

cnf(145557,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp1
    | ~ hskp18
    | ~ hskp7 ),
    inference(csr,[status(thm)],[115852,136513]) ).

cnf(145602,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp1
    | hskp20
    | ~ hskp7 ),
    inference(spm,[status(thm)],[145557,135240,theory(equality)]) ).

cnf(145607,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[145602,31822]) ).

cnf(145610,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp3
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[35268,145607,theory(equality)]) ).

cnf(145647,negated_conjecture,
    ( hskp12
    | hskp3
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[145610,30506]) ).

cnf(145654,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp0
    | hskp3
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[67144,145647,theory(equality)]) ).

cnf(146517,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp10
    | ~ hskp23
    | ~ hskp3 ),
    inference(csr,[status(thm)],[118761,56442]) ).

cnf(146518,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp10
    | ~ hskp23 ),
    inference(csr,[status(thm)],[146517,126341]) ).

cnf(146519,negated_conjecture,
    ( hskp16
    | hskp10
    | ~ hskp23 ),
    inference(csr,[status(thm)],[146518,51672]) ).

cnf(146520,negated_conjecture,
    ( hskp10
    | ~ hskp23 ),
    inference(csr,[status(thm)],[146519,119111]) ).

cnf(146714,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp12
    | ~ hskp23
    | ~ hskp3 ),
    inference(csr,[status(thm)],[118800,14772]) ).

cnf(146715,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp23
    | ~ hskp3 ),
    inference(csr,[status(thm)],[146714,137969]) ).

cnf(146732,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp3
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[146715,36366,theory(equality)]) ).

cnf(146881,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp3
    | ~ hskp1 ),
    inference(csr,[status(thm)],[146732,83732]) ).

cnf(146888,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[107206,146881,theory(equality)]) ).

cnf(146889,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[108526,146881,theory(equality)]) ).

cnf(148546,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp3
    | hskp2
    | ~ hskp30 ),
    inference(csr,[status(thm)],[124413,96098]) ).

cnf(148547,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp3
    | hskp2 ),
    inference(csr,[status(thm)],[148546,124457]) ).

cnf(148548,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[148547,132950]) ).

cnf(151005,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp4
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[126583,44191]) ).

cnf(151008,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp8
    | ~ hskp6
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[71114,151005,theory(equality)]) ).

cnf(151630,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp10
    | ~ hskp24 ),
    inference(csr,[status(thm)],[129935,126341]) ).

cnf(151631,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp10
    | ~ hskp24 ),
    inference(csr,[status(thm)],[151630,60105]) ).

cnf(151632,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp24 ),
    inference(csr,[status(thm)],[151631,141632]) ).

cnf(152216,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp7
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[134569,89942]) ).

cnf(152217,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[152216,4859]) ).

cnf(152218,negated_conjecture,
    ( hskp25
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[152217,73968]) ).

cnf(152812,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp1
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[12984,44]) ).

cnf(152813,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[152812,20148]) ).

cnf(152814,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[152813,43]) ).

cnf(152942,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp14
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[135233,30506]) ).

cnf(152979,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp3
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[48730,152942,theory(equality)]) ).

cnf(153054,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp14
    | hskp3
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[14772,152979,theory(equality)]) ).

cnf(153350,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp6
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[135450,90659]) ).

cnf(153351,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[153350,31822]) ).

cnf(153978,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[13165,108]) ).

cnf(153979,negated_conjecture,
    ( hskp15
    | ~ hskp8
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[153978,106]) ).

cnf(153981,negated_conjecture,
    ( hskp15
    | hskp19
    | ~ hskp8
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[153979,26490,theory(equality)]) ).

cnf(153996,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp16
    | ~ hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[153981,6422,theory(equality)]) ).

cnf(154001,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp1
    | ~ hskp8
    | ~ hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[153981,12826,theory(equality)]) ).

cnf(154069,negated_conjecture,
    ( hskp18
    | hskp19
    | hskp15
    | ~ hskp30
    | ~ hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[68241,153996,theory(equality)]) ).

cnf(154543,negated_conjecture,
    ( hskp15
    | c2_1(a2435)
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[13171,31161]) ).

cnf(154544,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[58,154543,theory(equality)]) ).

cnf(154766,negated_conjecture,
    ( hskp15
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[154544,31161]) ).

cnf(154767,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[154766,1794,theory(equality)]) ).

cnf(154773,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[154767,31161]) ).

cnf(154774,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[154773,136259]) ).

cnf(155180,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp15
    | c2_1(a2427)
    | ~ hskp17
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[13180,1943]) ).

cnf(155181,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp15
    | c2_1(a2427)
    | ~ hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[155180,1943]) ).

cnf(155182,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp15
    | c2_1(a2427)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[155181,1943]) ).

cnf(155183,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp15
    | ~ hskp17 ),
    inference(csr,[status(thm)],[155182,1943]) ).

cnf(155184,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp17 ),
    inference(csr,[status(thm)],[155183,62889]) ).

cnf(155772,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp3
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[136042,38411]) ).

cnf(156296,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp23
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[137833,20803]) ).

cnf(156304,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp25
    | hskp23
    | hskp3 ),
    inference(spm,[status(thm)],[12410,156296,theory(equality)]) ).

cnf(156468,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[156304,2283]) ).

cnf(156469,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[156468,12413]) ).

cnf(156783,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | ~ hskp28
    | ~ hskp14
    | ~ c2_1(a2420) ),
    inference(csr,[status(thm)],[13415,84]) ).

cnf(156784,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | ~ hskp28
    | ~ hskp14 ),
    inference(csr,[status(thm)],[156783,83]) ).

cnf(156785,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | ~ hskp28 ),
    inference(csr,[status(thm)],[156784,12410]) ).

cnf(156786,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp28 ),
    inference(csr,[status(thm)],[156785,60105]) ).

cnf(157041,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp21
    | ~ hskp18
    | ~ hskp9 ),
    inference(csr,[status(thm)],[138732,129320]) ).

cnf(157075,negated_conjecture,
    ( hskp2
    | ~ hskp18
    | ~ hskp12
    | ~ hskp21
    | ~ hskp9 ),
    inference(spm,[status(thm)],[88075,157041,theory(equality)]) ).

cnf(157085,negated_conjecture,
    ( hskp2
    | ~ hskp21
    | ~ hskp18
    | ~ hskp9 ),
    inference(csr,[status(thm)],[157075,131356]) ).

cnf(157165,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp26
    | ~ hskp8
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[13506,108]) ).

cnf(157166,negated_conjecture,
    ( hskp15
    | ~ hskp26
    | ~ hskp8
    | ~ c2_1(a2484) ),
    inference(csr,[status(thm)],[157165,106]) ).

cnf(157176,negated_conjecture,
    ( hskp15
    | hskp23
    | ~ hskp26
    | ~ hskp8
    | ~ hskp11 ),
    inference(spm,[status(thm)],[157166,41125,theory(equality)]) ).

cnf(157180,negated_conjecture,
    ( hskp15
    | ~ hskp26
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[157166,63141,theory(equality)]) ).

cnf(157184,negated_conjecture,
    ( hskp15
    | hskp18
    | ~ hskp26
    | ~ hskp8 ),
    inference(spm,[status(thm)],[157180,2803,theory(equality)]) ).

cnf(157197,negated_conjecture,
    ( hskp18
    | hskp15
    | hskp30
    | hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[157184,12,theory(equality)]) ).

cnf(157248,negated_conjecture,
    ( hskp15
    | ~ hskp26
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[157176,1729]) ).

cnf(157275,negated_conjecture,
    ( hskp30
    | hskp18
    | hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[157197,77726]) ).

cnf(157464,negated_conjecture,
    ( hskp15
    | c2_1(a2435)
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[13512,9737]) ).

cnf(157465,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[58,157464,theory(equality)]) ).

cnf(157579,negated_conjecture,
    ( hskp15
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[157465,9737]) ).

cnf(157589,negated_conjecture,
    ( hskp15
    | hskp23
    | ~ hskp26
    | ~ c1_1(a2435)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[157579,41125,theory(equality)]) ).

cnf(157700,negated_conjecture,
    ( hskp15
    | ~ hskp26
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[157589,1729]) ).

cnf(157701,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp26
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[157700,1794,theory(equality)]) ).

cnf(157707,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[157701,41259]) ).

cnf(157711,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp9
    | hskp6
    | ~ hskp11
    | ~ hskp30 ),
    inference(spm,[status(thm)],[157707,114136,theory(equality)]) ).

cnf(158538,negated_conjecture,
    ( hskp15
    | c2_1(a2412)
    | ~ hskp29
    | ~ hskp8
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[13620,108]) ).

cnf(158539,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp8
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[158538,106]) ).

cnf(158540,negated_conjecture,
    ( hskp15
    | hskp24
    | ~ hskp29
    | ~ hskp8 ),
    inference(spm,[status(thm)],[158539,4282,theory(equality)]) ).

cnf(158552,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[158540,10526,theory(equality)]) ).

cnf(158577,negated_conjecture,
    ( hskp4
    | hskp15
    | hskp0
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[44191,158552,theory(equality)]) ).

cnf(158635,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[158577,61301]) ).

cnf(158638,negated_conjecture,
    ( hskp15
    | hskp0
    | ~ hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71114,158635,theory(equality)]) ).

cnf(158666,negated_conjecture,
    ( hskp15
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[158638,59123]) ).

cnf(158903,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp20
    | ~ c1_1(a2409)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[13626,58]) ).

cnf(158904,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp29
    | ~ hskp20
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[158903,1794,theory(equality)]) ).

cnf(158908,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp29
    | ~ hskp20
    | ~ c1_1(a2409)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[158903,36035,theory(equality)]) ).

cnf(158912,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp29
    | ~ hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[158904,63373,theory(equality)]) ).

cnf(158938,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp29
    | ~ hskp20 ),
    inference(csr,[status(thm)],[158912,110694]) ).

cnf(158945,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp20
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[158938,26143,theory(equality)]) ).

cnf(159685,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp3
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[145654,8649]) ).

cnf(159686,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[159685,59391]) ).

cnf(160036,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[146888,125094]) ).

cnf(160037,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[160036,136119]) ).

cnf(160141,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp18
    | ~ hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[146889,131439]) ).

cnf(160142,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[160141,136122]) ).

cnf(161030,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp11
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[151008,158666]) ).

cnf(161031,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[161030,78929]) ).

cnf(161338,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp13
    | c2_1(a2403)
    | ~ hskp15
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13821,136]) ).

cnf(161339,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp13
    | ~ hskp15
    | ~ hskp1 ),
    inference(csr,[status(thm)],[161338,135]) ).

cnf(161909,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp12
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[153054,136119]) ).

cnf(161910,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[161909,156469]) ).

cnf(162755,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp15
    | ~ hskp14
    | ~ c2_1(a2420) ),
    inference(csr,[status(thm)],[13957,84]) ).

cnf(162756,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp15
    | ~ hskp14 ),
    inference(csr,[status(thm)],[162755,83]) ).

cnf(162768,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp20
    | ~ hskp15 ),
    inference(spm,[status(thm)],[162756,14800,theory(equality)]) ).

cnf(162829,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp15
    | ~ hskp6 ),
    inference(spm,[status(thm)],[162756,137397,theory(equality)]) ).

cnf(162842,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp3
    | ~ hskp15 ),
    inference(spm,[status(thm)],[162756,156469,theory(equality)]) ).

cnf(162847,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp12
    | ~ hskp15 ),
    inference(csr,[status(thm)],[162768,92668]) ).

cnf(163067,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[162842,136259]) ).

cnf(163085,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp30
    | hskp11
    | hskp3 ),
    inference(spm,[status(thm)],[152218,163067,theory(equality)]) ).

cnf(163110,negated_conjecture,
    ( hskp25
    | hskp11
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[163085,137859]) ).

cnf(163112,negated_conjecture,
    ( hskp7
    | hskp25
    | hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[17442,163110,theory(equality)]) ).

cnf(163114,negated_conjecture,
    ( hskp25
    | hskp11
    | hskp7 ),
    inference(csr,[status(thm)],[163112,89942]) ).

cnf(163234,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp1
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[154001,130680]) ).

cnf(163235,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[163234,77825]) ).

cnf(163299,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp15
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[154069,68564]) ).

cnf(163300,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[163299,157275]) ).

cnf(163301,negated_conjecture,
    ( hskp18
    | hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[163300,77726]) ).

cnf(163366,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp7
    | ~ hskp1
    | ~ hskp28
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[135,14020,theory(equality)]) ).

cnf(164124,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | c0_1(X1)
    | ~ hskp14
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[14279,84]) ).

cnf(164125,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp8
    | ~ hskp14
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,164124,theory(equality)]) ).

cnf(165142,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp9
    | hskp6
    | ~ hskp11 ),
    inference(csr,[status(thm)],[157711,110853]) ).

cnf(165143,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp6
    | ~ hskp11 ),
    inference(csr,[status(thm)],[165142,61010]) ).

cnf(165144,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp11 ),
    inference(csr,[status(thm)],[165143,116725]) ).

cnf(166793,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[158945,132249]) ).

cnf(166794,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp7
    | hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[166793,19868,theory(equality)]) ).

cnf(166929,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[14514,59]) ).

cnf(166930,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[166929,58]) ).

cnf(166931,negated_conjecture,
    ( hskp12
    | hskp16
    | hskp10
    | ~ hskp20
    | ~ hskp5 ),
    inference(spm,[status(thm)],[166930,7205,theory(equality)]) ).

cnf(166932,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp20
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[166930,34750,theory(equality)]) ).

cnf(166933,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp10
    | ~ hskp20 ),
    inference(csr,[status(thm)],[166931,141632]) ).

cnf(166934,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp10 ),
    inference(csr,[status(thm)],[166933,127285]) ).

cnf(166935,negated_conjecture,
    ( hskp16
    | hskp10 ),
    inference(csr,[status(thm)],[166934,51672]) ).

cnf(166947,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[166932,77326]) ).

cnf(166948,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[166947,48900]) ).

cnf(166949,negated_conjecture,
    ( hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[166948,1845]) ).

cnf(166950,negated_conjecture,
    ( hskp12
    | hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[166949,2803,theory(equality)]) ).

cnf(166953,negated_conjecture,
    ( hskp12
    | hskp18
    | ~ hskp20 ),
    inference(spm,[status(thm)],[166949,6298,theory(equality)]) ).

cnf(166975,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[12827,166953,theory(equality)]) ).

cnf(167996,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp15
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[14624,59]) ).

cnf(167997,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp15
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[167996,58]) ).

cnf(169968,negated_conjecture,
    ( hskp12
    | c0_1(a2422)
    | ~ hskp29
    | ~ hskp15
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[15041,78]) ).

cnf(170084,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp15
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[167997,169968,theory(equality)]) ).

cnf(170088,negated_conjecture,
    ( hskp12
    | ~ hskp29
    | ~ hskp20
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[170084,158938]) ).

cnf(170091,negated_conjecture,
    ( hskp12
    | ~ hskp29
    | ~ hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[170088,63373,theory(equality)]) ).

cnf(170102,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp1
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[170091,25395,theory(equality)]) ).

cnf(170106,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp20
    | ~ hskp1
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[170091,26143,theory(equality)]) ).

cnf(170145,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[170102,63476]) ).

cnf(170168,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[170145,107912,theory(equality)]) ).

cnf(170272,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp9 ),
    inference(csr,[status(thm)],[170168,77326]) ).

cnf(173014,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[166794,163114]) ).

cnf(173015,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[173014,165144]) ).

cnf(173016,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[173015,116725]) ).

cnf(174275,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp25
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[170106,63476]) ).

cnf(174276,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[174275,166975]) ).

cnf(175446,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp3
    | ~ hskp28
    | ~ c2_1(a2406) ),
    inference(csr,[status(thm)],[15429,28]) ).

cnf(175447,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[175446,27]) ).

cnf(175457,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp3
    | hskp19
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[175447,26408,theory(equality)]) ).

cnf(175711,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ hskp28
    | ~ c2_1(a2406)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[15434,28]) ).

cnf(175712,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ hskp28
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[175711,27]) ).

cnf(175715,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ hskp28
    | ~ c2_1(a2405)
    | ~ c0_1(a2405) ),
    inference(spm,[status(thm)],[126,175712,theory(equality)]) ).

cnf(175718,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ hskp28
    | ~ c2_1(a2420)
    | ~ c0_1(a2420) ),
    inference(spm,[status(thm)],[82,175712,theory(equality)]) ).

cnf(175899,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp3
    | ~ c2_1(a2405) ),
    inference(csr,[status(thm)],[175715,128]) ).

cnf(175900,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp3 ),
    inference(csr,[status(thm)],[175899,127]) ).

cnf(175904,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[175900,4753,theory(equality)]) ).

cnf(176331,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[175718,83]) ).

cnf(176535,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp3
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[175457,31822]) ).

cnf(176536,negated_conjecture,
    ( hskp24
    | hskp20
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[176535,125088]) ).

cnf(176560,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp20
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[151632,176536,theory(equality)]) ).

cnf(176580,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp10
    | ~ hskp13 ),
    inference(csr,[status(thm)],[176560,131356]) ).

cnf(176581,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp13 ),
    inference(csr,[status(thm)],[176580,141632]) ).

cnf(177627,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp17
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[15590,41155]) ).

cnf(177635,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp17
    | hskp6
    | ~ hskp15
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[78,177627,theory(equality)]) ).

cnf(179948,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp18
    | hskp17
    | ~ hskp15 ),
    inference(csr,[status(thm)],[23403,80]) ).

cnf(179949,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp18
    | hskp17 ),
    inference(csr,[status(thm)],[179948,21237]) ).

cnf(179961,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1
    | hskp18 ),
    inference(spm,[status(thm)],[34773,179949,theory(equality)]) ).

cnf(179990,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp18
    | ~ hskp30
    | ~ hskp16 ),
    inference(spm,[status(thm)],[68240,179949,theory(equality)]) ).

cnf(180003,negated_conjecture,
    ( hskp21
    | hskp1
    | hskp25
    | hskp19
    | hskp18
    | ~ hskp16 ),
    inference(spm,[status(thm)],[83972,179949,theory(equality)]) ).

cnf(180043,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp1 ),
    inference(csr,[status(thm)],[179961,27398]) ).

cnf(180088,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[179990,14439]) ).

cnf(180740,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp19
    | hskp18
    | hskp1 ),
    inference(csr,[status(thm)],[180003,5426]) ).

cnf(180741,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp19
    | hskp1 ),
    inference(csr,[status(thm)],[180740,5426]) ).

cnf(180742,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp1 ),
    inference(csr,[status(thm)],[180741,35164]) ).

cnf(181989,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[25014,136]) ).

cnf(181990,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16
    | hskp13 ),
    inference(csr,[status(thm)],[181989,180043]) ).

cnf(181996,negated_conjecture,
    ( hskp19
    | hskp25
    | hskp16
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26657,181990,theory(equality)]) ).

cnf(182037,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp16 ),
    inference(csr,[status(thm)],[181996,166935]) ).

cnf(182048,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp18 ),
    inference(spm,[status(thm)],[180088,182037,theory(equality)]) ).

cnf(182056,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp9 ),
    inference(spm,[status(thm)],[88695,182048,theory(equality)]) ).

cnf(183684,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp19
    | ~ c2_1(a2432)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[115710,156786]) ).

cnf(183688,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp19
    | ~ hskp1
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[183684,71599,theory(equality)]) ).

cnf(183709,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp19
    | ~ hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[183688,70974]) ).

cnf(183726,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp19
    | ~ hskp4
    | ~ hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[183709,71604,theory(equality)]) ).

cnf(183740,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp19
    | ~ hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[183726,70974]) ).

cnf(183741,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp19
    | ~ hskp4 ),
    inference(csr,[status(thm)],[183740,5697]) ).

cnf(183742,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp4 ),
    inference(csr,[status(thm)],[183741,116256]) ).

cnf(183790,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp3
    | hskp1
    | ~ hskp19
    | ~ hskp11 ),
    inference(spm,[status(thm)],[183742,155772,theory(equality)]) ).

cnf(183952,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp3
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[183790,5697]) ).

cnf(183953,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[183952,5697]) ).

cnf(183954,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[183953,116256]) ).

cnf(184579,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp10
    | ~ hskp28
    | ~ c1_1(a2410) ),
    inference(csr,[status(thm)],[121856,70974]) ).

cnf(184580,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp28
    | ~ c1_1(a2410) ),
    inference(csr,[status(thm)],[184579,146520]) ).

cnf(184581,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp28
    | ~ hskp6 ),
    inference(spm,[status(thm)],[184580,115,theory(equality)]) ).

cnf(184582,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp28 ),
    inference(csr,[status(thm)],[184581,70974]) ).

cnf(184598,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3
    | ~ hskp18
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[184582,71465,theory(equality)]) ).

cnf(184691,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3
    | ~ hskp18
    | ~ hskp4 ),
    inference(csr,[status(thm)],[184598,70974]) ).

cnf(184692,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3
    | ~ hskp4 ),
    inference(csr,[status(thm)],[184691,148548]) ).

cnf(185707,negated_conjecture,
    ( hskp30
    | hskp4
    | ~ hskp14
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[141250,92668]) ).

cnf(185708,negated_conjecture,
    ( hskp30
    | hskp4
    | hskp12
    | ~ hskp14
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[185707,1794,theory(equality)]) ).

cnf(185713,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4
    | ~ hskp14
    | ~ hskp11 ),
    inference(csr,[status(thm)],[185708,92668]) ).

cnf(185719,negated_conjecture,
    ( hskp12
    | hskp30
    | ~ hskp20
    | ~ hskp6
    | ~ hskp14
    | ~ hskp11 ),
    inference(spm,[status(thm)],[71849,185713,theory(equality)]) ).

cnf(185865,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp14
    | ~ hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[185719,92668]) ).

cnf(185872,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp1
    | ~ hskp11
    | ~ hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[185865,12227,theory(equality)]) ).

cnf(186295,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp1
    | ~ hskp18
    | ~ hskp6 ),
    inference(csr,[status(thm)],[185872,12827]) ).

cnf(186337,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp1
    | ~ hskp6
    | ~ hskp20 ),
    inference(spm,[status(thm)],[186295,166953,theory(equality)]) ).

cnf(186342,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[186337,17283]) ).

cnf(186359,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp30
    | ~ hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[186342,92668,theory(equality)]) ).

cnf(186370,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp3
    | ~ hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[186342,129225,theory(equality)]) ).

cnf(186381,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp30
    | ~ hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[186342,162847,theory(equality)]) ).

cnf(186440,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[186359,114351]) ).

cnf(186460,negated_conjecture,
    ( hskp12
    | hskp3
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[186370,136473]) ).

cnf(186468,negated_conjecture,
    ( hskp30
    | hskp0
    | hskp3
    | hskp1
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[79997,186460,theory(equality)]) ).

cnf(187100,negated_conjecture,
    ( hskp30
    | hskp3
    | hskp1
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[186468,159686]) ).

cnf(187101,negated_conjecture,
    ( hskp30
    | hskp3
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[187100,79995]) ).

cnf(187103,negated_conjecture,
    ( hskp7
    | hskp30
    | hskp0
    | ~ hskp19
    | ~ hskp11 ),
    inference(spm,[status(thm)],[17442,187101,theory(equality)]) ).

cnf(187107,negated_conjecture,
    ( hskp30
    | hskp7
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[187103,77398]) ).

cnf(188702,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[158908,155184]) ).

cnf(188703,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[188702,63423]) ).

cnf(188936,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp7
    | ~ hskp28
    | ~ hskp1 ),
    inference(csr,[status(thm)],[163366,136]) ).

cnf(188937,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp7
    | ~ hskp28 ),
    inference(csr,[status(thm)],[188936,83419]) ).

cnf(188946,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp7
    | hskp23
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[188937,21618,theory(equality)]) ).

cnf(188973,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp15
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[188946,173016]) ).

cnf(188974,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp15
    | hskp7 ),
    inference(csr,[status(thm)],[188973,4859]) ).

cnf(188975,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp7 ),
    inference(csr,[status(thm)],[188974,1729]) ).

cnf(189010,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp14
    | ~ hskp8 ),
    inference(csr,[status(thm)],[164125,108]) ).

cnf(189027,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp8
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[189010,55270,theory(equality)]) ).

cnf(189172,negated_conjecture,
    ( hskp7
    | c0_1(a2422)
    | ~ hskp15
    | ~ hskp3
    | ~ c2_1(a2405) ),
    inference(csr,[status(thm)],[16571,128]) ).

cnf(189173,negated_conjecture,
    ( hskp7
    | c0_1(a2422)
    | ~ hskp15
    | ~ hskp3 ),
    inference(csr,[status(thm)],[189172,127]) ).

cnf(189180,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp7
    | ~ hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2149,189173,theory(equality)]) ).

cnf(189312,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp14
    | hskp7
    | ~ hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2283,189180,theory(equality)]) ).

cnf(189582,negated_conjecture,
    ( hskp7
    | c0_1(a2422)
    | ~ hskp15
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[16574,83]) ).

cnf(190379,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp7
    | ~ hskp6
    | ~ hskp20 ),
    inference(spm,[status(thm)],[189027,141811,theory(equality)]) ).

cnf(190707,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11
    | hskp7
    | ~ hskp15 ),
    inference(csr,[status(thm)],[189312,156469]) ).

cnf(190713,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp7
    | ~ hskp15 ),
    inference(spm,[status(thm)],[162756,190707,theory(equality)]) ).

cnf(190732,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp7
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[190713,69036,theory(equality)]) ).

cnf(190742,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp7
    | ~ hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[190713,99662,theory(equality)]) ).

cnf(193714,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp7
    | ~ hskp6
    | ~ hskp19 ),
    inference(spm,[status(thm)],[190379,31822,theory(equality)]) ).

cnf(193724,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp25
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[190379,86327,theory(equality)]) ).

cnf(193733,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp7
    | ~ hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[190379,100492,theory(equality)]) ).

cnf(193923,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[190732,163114]) ).

cnf(194123,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp7
    | ~ hskp19 ),
    inference(csr,[status(thm)],[190742,163114]) ).

cnf(194124,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp7
    | ~ hskp19 ),
    inference(csr,[status(thm)],[194123,17313]) ).

cnf(195308,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[193714,194124]) ).

cnf(195317,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp6
    | ~ hskp19 ),
    inference(spm,[status(thm)],[162829,195308,theory(equality)]) ).

cnf(195325,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[195317,186440]) ).

cnf(195326,negated_conjecture,
    ( hskp12
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[195325,17313]) ).

cnf(195527,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp12
    | hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[193724,188975]) ).

cnf(195536,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | hskp25
    | ~ hskp6 ),
    inference(spm,[status(thm)],[162829,195527,theory(equality)]) ).

cnf(195694,negated_conjecture,
    ( hskp30
    | hskp25
    | hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[195536,186440]) ).

cnf(195695,negated_conjecture,
    ( hskp25
    | hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[195694,86331]) ).

cnf(195766,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp6
    | ~ hskp7
    | ~ hskp0 ),
    inference(spm,[status(thm)],[162829,193733,theory(equality)]) ).

cnf(196148,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp11
    | ~ hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[195766,193923]) ).

cnf(196149,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[196148,186440]) ).

cnf(196988,negated_conjecture,
    ( hskp19
    | hskp15
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2468)
    | ~ hskp28
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[16872,44]) ).

cnf(196989,negated_conjecture,
    ( hskp19
    | hskp15
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp28
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[196988,43]) ).

cnf(196990,negated_conjecture,
    ( hskp15
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp28
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[196989,16659]) ).

cnf(197366,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | ~ hskp3
    | ~ c2_1(a2405)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[16883,128]) ).

cnf(197367,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | ~ hskp3
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[197366,127]) ).

cnf(197372,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp20
    | ~ hskp3 ),
    inference(spm,[status(thm)],[197367,45233,theory(equality)]) ).

cnf(197433,negated_conjecture,
    ( hskp7
    | hskp0
    | hskp30
    | ~ hskp3
    | ~ hskp15 ),
    inference(spm,[status(thm)],[197372,92282,theory(equality)]) ).

cnf(197470,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | ~ hskp10
    | ~ c2_1(a2414)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[16885,100]) ).

cnf(197472,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | ~ hskp10
    | ~ c1_1(a2435)
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[197470,68015,theory(equality)]) ).

cnf(197860,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp20
    | ~ c2_1(a2484)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[16891,36]) ).

cnf(197861,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ c2_1(a2484)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[197860,9737]) ).

cnf(197865,negated_conjecture,
    ( hskp7
    | hskp23
    | ~ hskp26
    | ~ c1_1(a2435)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[197861,41125,theory(equality)]) ).

cnf(197904,negated_conjecture,
    ( hskp23
    | hskp7
    | hskp12
    | ~ hskp26
    | ~ hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[197865,1794,theory(equality)]) ).

cnf(198990,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp7
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[197904,41130]) ).

cnf(198996,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | ~ hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[14772,198990,theory(equality)]) ).

cnf(199028,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[198996,41267]) ).

cnf(199029,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[199028,141810]) ).

cnf(201523,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp3
    | ~ c2_1(a2405)
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[17005,128]) ).

cnf(201524,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp3
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[201523,127]) ).

cnf(201530,negated_conjecture,
    ( hskp7
    | hskp29
    | ~ hskp23
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[201524,25831,theory(equality)]) ).

cnf(202173,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp23
    | ~ c2_1(a2484)
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[17013,36]) ).

cnf(202178,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ hskp29
    | ~ hskp21 ),
    inference(spm,[status(thm)],[202173,61693,theory(equality)]) ).

cnf(206587,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp17
    | hskp6
    | ~ hskp15 ),
    inference(csr,[status(thm)],[177635,80]) ).

cnf(206588,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp17
    | hskp6 ),
    inference(csr,[status(thm)],[206587,37458]) ).

cnf(206611,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[48730,206588,theory(equality)]) ).

cnf(206734,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp6 ),
    inference(csr,[status(thm)],[206611,82547]) ).

cnf(211505,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp30
    | ~ hskp20
    | ~ hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[197472,45233,theory(equality)]) ).

cnf(211520,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp30
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[211505,60132]) ).

cnf(211526,negated_conjecture,
    ( hskp7
    | hskp0
    | hskp18
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[211520,45237,theory(equality)]) ).

cnf(211541,negated_conjecture,
    ( hskp0
    | hskp7
    | ~ hskp12
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[66642,211526,theory(equality)]) ).

cnf(211585,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[211541,17283]) ).

cnf(213023,negated_conjecture,
    ( hskp7
    | hskp12
    | ~ hskp29
    | ~ hskp26
    | ~ hskp23
    | ~ hskp21 ),
    inference(spm,[status(thm)],[202178,1795,theory(equality)]) ).

cnf(213031,negated_conjecture,
    ( hskp12
    | hskp7
    | ~ hskp29
    | ~ hskp26
    | ~ hskp23 ),
    inference(csr,[status(thm)],[213023,35328]) ).

cnf(216213,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[18153,40]) ).

cnf(216218,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | hskp29
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[216213,26142,theory(equality)]) ).

cnf(216510,negated_conjecture,
    ( hskp29
    | hskp28
    | hskp9
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[216218,59217]) ).

cnf(216521,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ hskp21
    | ~ hskp1
    | ~ hskp25 ),
    inference(spm,[status(thm)],[58716,216510,theory(equality)]) ).

cnf(218237,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ hskp25
    | ~ hskp21 ),
    inference(csr,[status(thm)],[216521,35733]) ).

cnf(218238,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[218237,27793]) ).

cnf(218976,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[18197,4753]) ).

cnf(218988,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ c1_1(a2498)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[218976,14,theory(equality)]) ).

cnf(219228,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | ~ hskp31 ),
    inference(csr,[status(thm)],[218988,15]) ).

cnf(219229,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp6
    | hskp27
    | hskp25 ),
    inference(spm,[status(thm)],[219228,13,theory(equality)]) ).

cnf(219230,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[219229,218238]) ).

cnf(220817,negated_conjecture,
    ( hskp2
    | c0_1(a2417)
    | ~ c2_1(a2402)
    | ~ c2_1(a2417)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[18483,131356]) ).

cnf(220818,negated_conjecture,
    ( hskp2
    | c0_1(a2417)
    | ~ c2_1(a2402)
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[220817,129320]) ).

cnf(220819,negated_conjecture,
    ( hskp2
    | ~ hskp12
    | ~ c2_1(a2402)
    | ~ c2_1(a2417) ),
    inference(spm,[status(thm)],[91,220818,theory(equality)]) ).

cnf(221015,negated_conjecture,
    ( hskp2
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[220819,18638]) ).

cnf(221016,negated_conjecture,
    ( hskp2
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[221015,131356]) ).

cnf(221132,negated_conjecture,
    ( hskp2
    | c0_1(a2432)
    | ~ hskp19
    | ~ c2_1(a2402)
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[18486,129320]) ).

cnf(221133,negated_conjecture,
    ( hskp2
    | ~ hskp19
    | ~ c2_1(a2402)
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[221132,62]) ).

cnf(221486,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp14
    | hskp9
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[35843,166949]) ).

cnf(221487,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp9
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[221486,36037]) ).

cnf(221488,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp9
    | hskp1
    | hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[221487,2803,theory(equality)]) ).

cnf(221498,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp14
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[221488,84751]) ).

cnf(221499,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[221498,12227]) ).

cnf(224009,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp2
    | c2_1(a2410)
    | ~ c1_1(a2410) ),
    inference(csr,[status(thm)],[38605,91074]) ).

cnf(224010,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp2
    | ~ hskp6
    | ~ c1_1(a2410) ),
    inference(spm,[status(thm)],[114,224009,theory(equality)]) ).

cnf(224060,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp2
    | ~ hskp6 ),
    inference(csr,[status(thm)],[224010,115]) ).

cnf(224061,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp2 ),
    inference(csr,[status(thm)],[224060,91074]) ).

cnf(224205,negated_conjecture,
    ( hskp3
    | hskp2
    | c1_1(a2427)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[18811,72]) ).

cnf(224206,negated_conjecture,
    ( hskp3
    | hskp2
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[224205,70]) ).

cnf(224207,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[224206,34149]) ).

cnf(224212,negated_conjecture,
    ( hskp2
    | c1_1(a2414)
    | ~ hskp10
    | ~ hskp17
    | ~ c2_1(a2414) ),
    inference(spm,[status(thm)],[98,224207,theory(equality)]) ).

cnf(224282,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[18746,224207,theory(equality)]) ).

cnf(224424,negated_conjecture,
    ( hskp2
    | ~ hskp17
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[224212,99]) ).

cnf(224426,negated_conjecture,
    ( hskp2
    | ~ hskp17
    | ~ hskp10
    | ~ hskp30 ),
    inference(spm,[status(thm)],[224424,68015,theory(equality)]) ).

cnf(224635,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp17
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,224282,theory(equality)]) ).

cnf(224896,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[224635,104]) ).

cnf(224897,negated_conjecture,
    ( hskp2
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[224896,102]) ).

cnf(224898,negated_conjecture,
    ( hskp2
    | hskp18
    | ~ hskp9
    | ~ hskp8 ),
    inference(spm,[status(thm)],[224897,2803,theory(equality)]) ).

cnf(224908,negated_conjecture,
    ( hskp18
    | hskp2
    | ~ hskp8 ),
    inference(csr,[status(thm)],[224898,96098]) ).

cnf(225355,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp3
    | c1_1(a2413)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[47016,104]) ).

cnf(225356,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[225355,102]) ).

cnf(225358,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2448,225356,theory(equality)]) ).

cnf(225362,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[6397,225356,theory(equality)]) ).

cnf(225423,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp11
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[14432,225358,theory(equality)]) ).

cnf(225494,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[225423,98642]) ).

cnf(225623,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | c0_1(a2455)
    | ~ hskp29
    | ~ hskp23 ),
    inference(csr,[status(thm)],[19080,48]) ).

cnf(225624,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp23 ),
    inference(csr,[status(thm)],[225623,46]) ).

cnf(225627,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp2
    | ~ hskp29
    | ~ hskp23 ),
    inference(spm,[status(thm)],[2694,225624,theory(equality)]) ).

cnf(225676,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp29
    | ~ hskp23 ),
    inference(csr,[status(thm)],[225627,34149]) ).

cnf(225678,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp23
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[225676,25395,theory(equality)]) ).

cnf(225909,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[225678,129320]) ).

cnf(225914,negated_conjecture,
    ( hskp4
    | hskp2
    | ~ hskp11
    | ~ hskp23
    | ~ hskp9 ),
    inference(spm,[status(thm)],[44191,225909,theory(equality)]) ).

cnf(225972,negated_conjecture,
    ( hskp4
    | hskp2
    | ~ hskp23
    | ~ hskp11 ),
    inference(csr,[status(thm)],[225914,90013]) ).

cnf(225999,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3
    | hskp2
    | ~ hskp23
    | ~ hskp11 ),
    inference(spm,[status(thm)],[184692,225972,theory(equality)]) ).

cnf(226445,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp18
    | c1_1(a2427)
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19332,72]) ).

cnf(226446,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp18
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[226445,70]) ).

cnf(226447,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[226446,2048]) ).

cnf(226448,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[226447,2803,theory(equality)]) ).

cnf(226458,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp8 ),
    inference(csr,[status(thm)],[226448,10527]) ).

cnf(226461,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp30
    | hskp11
    | ~ hskp15 ),
    inference(spm,[status(thm)],[226458,14431,theory(equality)]) ).

cnf(226481,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp18
    | ~ hskp15 ),
    inference(csr,[status(thm)],[226461,92668]) ).

cnf(226484,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp20
    | ~ hskp12
    | ~ hskp15 ),
    inference(spm,[status(thm)],[66642,226481,theory(equality)]) ).

cnf(226547,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[226484,44667]) ).

cnf(226815,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[225999,146520]) ).

cnf(226816,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3
    | hskp2 ),
    inference(csr,[status(thm)],[226815,224061]) ).

cnf(226817,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[226816,132950]) ).

cnf(227259,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[19406,104]) ).

cnf(227260,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | ~ hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[227259,102]) ).

cnf(227261,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp29
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2098,227260,theory(equality)]) ).

cnf(227262,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp29
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[3109,227260,theory(equality)]) ).

cnf(227267,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | hskp29
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[15576,227260,theory(equality)]) ).

cnf(227273,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1
    | hskp29
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[41200,227260,theory(equality)]) ).

cnf(227289,negated_conjecture,
    ( hskp30
    | hskp29
    | ~ hskp5
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[130185,227260,theory(equality)]) ).

cnf(227290,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp29
    | ~ hskp16
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[130450,227260,theory(equality)]) ).

cnf(227291,negated_conjecture,
    ( hskp30
    | hskp29
    | ~ hskp26
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[130624,227260,theory(equality)]) ).

cnf(227297,negated_conjecture,
    ( hskp12
    | hskp29
    | ~ hskp20
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[166930,227260,theory(equality)]) ).

cnf(227309,negated_conjecture,
    ( hskp30
    | hskp4
    | hskp29
    | ~ hskp14
    | ~ hskp11
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[130383,227260,theory(equality)]) ).

cnf(227312,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp23
    | hskp14
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2048,227261,theory(equality)]) ).

cnf(227335,negated_conjecture,
    ( hskp0
    | hskp23
    | hskp14
    | ~ hskp1
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[63460,227261,theory(equality)]) ).

cnf(227345,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp14
    | ~ hskp26
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[69175,227261,theory(equality)]) ).

cnf(227412,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227262,97025]) ).

cnf(227413,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19 ),
    inference(csr,[status(thm)],[227412,182056]) ).

cnf(227424,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58716,227413,theory(equality)]) ).

cnf(227518,negated_conjecture,
    ( hskp25
    | hskp19
    | ~ hskp21 ),
    inference(csr,[status(thm)],[227424,180043]) ).

cnf(227519,negated_conjecture,
    ( hskp25
    | hskp19 ),
    inference(csr,[status(thm)],[227518,5426]) ).

cnf(227524,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[19407,24180]) ).

cnf(227525,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[227524,90]) ).

cnf(227526,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | hskp1
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[227525,35753,theory(equality)]) ).

cnf(227527,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[227525,44666,theory(equality)]) ).

cnf(227528,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp29
    | hskp0
    | ~ hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2098,227527,theory(equality)]) ).

cnf(227557,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp0
    | ~ hskp26
    | ~ hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[130624,227527,theory(equality)]) ).

cnf(227586,negated_conjecture,
    ( hskp30
    | ~ hskp21
    | ~ hskp1
    | ~ hskp26
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[58716,227291,theory(equality)]) ).

cnf(227593,negated_conjecture,
    ( hskp20
    | hskp30
    | ~ hskp26
    | ~ hskp21
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[61697,227291,theory(equality)]) ).

cnf(227676,negated_conjecture,
    ( hskp29
    | hskp12
    | ~ hskp20
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227297,170272]) ).

cnf(227768,negated_conjecture,
    ( hskp12
    | hskp7
    | ~ hskp26
    | ~ hskp23
    | ~ hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[213031,227676,theory(equality)]) ).

cnf(227964,negated_conjecture,
    ( hskp29
    | hskp1
    | c1_1(a2408)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[227526,166949]) ).

cnf(227965,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp29
    | hskp1
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2098,227964,theory(equality)]) ).

cnf(228037,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp5 ),
    inference(csr,[status(thm)],[19413,48]) ).

cnf(228038,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[228037,24480]) ).

cnf(228411,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp23
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227267,77327]) ).

cnf(228412,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[228411,41155]) ).

cnf(228558,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | ~ hskp27
    | ~ hskp5
    | ~ c2_1(a2500) ),
    inference(csr,[status(thm)],[19416,31]) ).

cnf(228559,negated_conjecture,
    ( hskp29
    | c1_1(a2408)
    | hskp14
    | hskp1
    | ~ hskp27
    | ~ hskp5 ),
    inference(spm,[status(thm)],[228558,12577,theory(equality)]) ).

cnf(228747,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp6
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[227273,35733]) ).

cnf(228748,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[228747,77326]) ).

cnf(228776,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp1
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[66168,228748,theory(equality)]) ).

cnf(228908,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp10
    | ~ hskp16
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227290,141690]) ).

cnf(228909,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp10
    | ~ hskp9 ),
    inference(csr,[status(thm)],[228908,166935]) ).

cnf(228963,negated_conjecture,
    ( hskp10
    | hskp30
    | ~ hskp16
    | ~ hskp9 ),
    inference(spm,[status(thm)],[124048,228909,theory(equality)]) ).

cnf(229016,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp9 ),
    inference(csr,[status(thm)],[228963,166935]) ).

cnf(229049,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp18
    | hskp14
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227312,107912]) ).

cnf(229050,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp18
    | hskp14 ),
    inference(csr,[status(thm)],[229049,84785]) ).

cnf(229476,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp0
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[227335,59369]) ).

cnf(229477,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[229476,59217]) ).

cnf(229609,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp14
    | ~ hskp26
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227345,107912]) ).

cnf(229615,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp14
    | ~ hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[14772,229609,theory(equality)]) ).

cnf(229664,negated_conjecture,
    ( hskp14
    | hskp12
    | ~ hskp26
    | ~ hskp9 ),
    inference(csr,[status(thm)],[229615,141810]) ).

cnf(229666,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2648,229664,theory(equality)]) ).

cnf(229952,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[229666,27847]) ).

cnf(229953,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[229952,199029]) ).

cnf(230269,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp14
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[227528,59369]) ).

cnf(230294,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp14
    | hskp0
    | ~ hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[63379,230269,theory(equality)]) ).

cnf(230379,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp0
    | ~ hskp26
    | ~ hskp12 ),
    inference(csr,[status(thm)],[227557,59369]) ).

cnf(230380,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp30
    | hskp0
    | ~ hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2048,230379,theory(equality)]) ).

cnf(230605,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp21
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[227586,59332]) ).

cnf(230606,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[230605,130554]) ).

cnf(230607,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp8
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[230606,11,theory(equality)]) ).

cnf(230627,negated_conjecture,
    ( hskp30
    | hskp8
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[230607,80131]) ).

cnf(230634,negated_conjecture,
    ( hskp0
    | hskp30
    | ~ hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[63461,230627,theory(equality)]) ).

cnf(230694,negated_conjecture,
    ( hskp30
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[230634,59217]) ).

cnf(230743,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp26
    | ~ hskp21
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227593,107912]) ).

cnf(230744,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp26
    | ~ hskp9 ),
    inference(csr,[status(thm)],[230743,130554]) ).

cnf(230746,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[230744,12,theory(equality)]) ).

cnf(230752,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp9 ),
    inference(csr,[status(thm)],[230746,31822]) ).

cnf(230764,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp1
    | hskp30
    | ~ hskp9 ),
    inference(spm,[status(thm)],[110694,230752,theory(equality)]) ).

cnf(230765,negated_conjecture,
    ( hskp15
    | hskp0
    | hskp30
    | ~ hskp9 ),
    inference(spm,[status(thm)],[132249,230752,theory(equality)]) ).

cnf(230797,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp0 ),
    inference(csr,[status(thm)],[230765,59217]) ).

cnf(230801,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp0 ),
    inference(spm,[status(thm)],[14432,230797,theory(equality)]) ).

cnf(230812,negated_conjecture,
    ( hskp30
    | hskp7
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[197433,230797,theory(equality)]) ).

cnf(230930,negated_conjecture,
    ( hskp30
    | hskp7
    | hskp0
    | hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[230812,225494,theory(equality)]) ).

cnf(231269,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[230764,42076]) ).

cnf(231278,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[186381,231269,theory(equality)]) ).

cnf(231323,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp1
    | ~ hskp19
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[66874,231278,theory(equality)]) ).

cnf(231984,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[230930,59217]) ).

cnf(231985,negated_conjecture,
    ( hskp30
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[231984,187107]) ).

cnf(232671,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(X1)
    | ~ hskp13
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[20175,4385]) ).

cnf(232844,negated_conjecture,
    ( hskp12
    | hskp7
    | ~ hskp26
    | ~ hskp23
    | ~ hskp20 ),
    inference(csr,[status(thm)],[227768,141810]) ).

cnf(232845,negated_conjecture,
    ( hskp12
    | hskp7
    | ~ hskp26
    | ~ hskp23 ),
    inference(csr,[status(thm)],[232844,14772]) ).

cnf(232880,negated_conjecture,
    ( hskp12
    | hskp7
    | hskp14
    | ~ hskp26
    | ~ hskp15 ),
    inference(spm,[status(thm)],[232845,137667,theory(equality)]) ).

cnf(233118,negated_conjecture,
    ( hskp14
    | hskp12
    | ~ hskp26
    | ~ hskp15 ),
    inference(csr,[status(thm)],[232880,27828]) ).

cnf(234263,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp14
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[227965,77326]) ).

cnf(235841,negated_conjecture,
    ( hskp19
    | c0_1(a2420)
    | ~ hskp14
    | ~ hskp2
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[20273,132]) ).

cnf(235918,negated_conjecture,
    ( hskp19
    | c0_1(a2420)
    | ~ hskp14
    | ~ hskp2
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[235841,87778,theory(equality)]) ).

cnf(236207,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[228776,12227]) ).

cnf(236208,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[236207,206734]) ).

cnf(236209,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[236208,2646]) ).

cnf(236390,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | c0_1(a2420)
    | ~ hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[20276,100]) ).

cnf(236391,negated_conjecture,
    ( hskp19
    | c0_1(a2420)
    | ~ hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[236390,99]) ).

cnf(236399,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp19
    | ~ hskp14
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2502,236391,theory(equality)]) ).

cnf(236420,negated_conjecture,
    ( hskp2
    | hskp19
    | ~ hskp14
    | ~ hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[33713,236391,theory(equality)]) ).

cnf(236431,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp29
    | ~ hskp14
    | ~ c1_1(a2409)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[99309,236391,theory(equality)]) ).

cnf(236489,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp14
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[130353,236391,theory(equality)]) ).

cnf(236511,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp28
    | ~ hskp14
    | ~ hskp10 ),
    inference(spm,[status(thm)],[176331,236391,theory(equality)]) ).

cnf(236532,negated_conjecture,
    ( hskp7
    | c0_1(a2422)
    | hskp19
    | ~ hskp15
    | ~ hskp14
    | ~ hskp10 ),
    inference(spm,[status(thm)],[189582,236391,theory(equality)]) ).

cnf(236848,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[236399,70974]) ).

cnf(236994,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[236420,131356]) ).

cnf(237005,negated_conjecture,
    ( hskp19
    | hskp2
    | hskp21
    | ~ hskp10 ),
    inference(spm,[status(thm)],[236994,32211,theory(equality)]) ).

cnf(237100,negated_conjecture,
    ( hskp21
    | hskp2
    | ~ hskp10 ),
    inference(csr,[status(thm)],[237005,48798]) ).

cnf(237114,negated_conjecture,
    ( hskp21
    | hskp2
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[237100,124140,theory(equality)]) ).

cnf(237336,negated_conjecture,
    ( hskp21
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[237114,129320]) ).

cnf(237912,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[236511,31822]) ).

cnf(237916,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp14
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[237912,4753,theory(equality)]) ).

cnf(238786,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp23
    | ~ hskp14 ),
    inference(csr,[status(thm)],[237916,146520]) ).

cnf(240706,negated_conjecture,
    ( hskp19
    | ~ hskp23
    | ~ hskp2
    | ~ c1_1(a2455)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[20448,132]) ).

cnf(240714,negated_conjecture,
    ( hskp19
    | hskp28
    | hskp3
    | ~ hskp23
    | ~ hskp2
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[240706,11627,theory(equality)]) ).

cnf(240715,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ hskp23
    | ~ hskp2
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[240706,12152,theory(equality)]) ).

cnf(241130,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp23
    | ~ hskp10
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[20451,100]) ).

cnf(241131,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[241130,146520]) ).

cnf(241132,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[241131,1795,theory(equality)]) ).

cnf(241139,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[241131,31956,theory(equality)]) ).

cnf(241140,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | hskp29
    | c1_1(a2408)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[241131,228038,theory(equality)]) ).

cnf(241141,negated_conjecture,
    ( hskp19
    | hskp12
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[99,241132,theory(equality)]) ).

cnf(241177,negated_conjecture,
    ( hskp19
    | hskp12
    | ~ hskp23 ),
    inference(csr,[status(thm)],[241141,146520]) ).

cnf(241297,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[99,241139,theory(equality)]) ).

cnf(241333,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[241297,146520]) ).

cnf(241394,negated_conjecture,
    ( hskp19
    | hskp2
    | hskp14 ),
    inference(spm,[status(thm)],[241333,224061,theory(equality)]) ).

cnf(241416,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[236994,241394,theory(equality)]) ).

cnf(241474,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp23
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[20456,39]) ).

cnf(241475,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | ~ hskp25
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[241474,39]) ).

cnf(241476,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | ~ c0_1(a2478) ),
    inference(csr,[status(thm)],[241475,227519]) ).

cnf(241480,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | hskp9
    | hskp8
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[241476,1609,theory(equality)]) ).

cnf(241483,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | hskp28
    | hskp12
    | hskp3 ),
    inference(spm,[status(thm)],[241476,3541,theory(equality)]) ).

cnf(241490,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | hskp29
    | ~ c2_1(a2478)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[241476,19316,theory(equality)]) ).

cnf(241657,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp28
    | hskp19
    | hskp3 ),
    inference(spm,[status(thm)],[99859,241483,theory(equality)]) ).

cnf(244584,negated_conjecture,
    ( hskp19
    | c1_1(a2404)
    | ~ hskp2
    | ~ c1_1(a2478)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[20559,227519]) ).

cnf(244585,negated_conjecture,
    ( hskp19
    | ~ hskp2
    | ~ c1_1(a2478)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[244584,132]) ).

cnf(244593,negated_conjecture,
    ( hskp19
    | hskp28
    | hskp3
    | ~ hskp2
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[244585,11627,theory(equality)]) ).

cnf(244594,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ hskp2
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[244585,12152,theory(equality)]) ).

cnf(244595,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp1
    | ~ hskp2
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[244585,12599,theory(equality)]) ).

cnf(244708,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[241657,31822]) ).

cnf(244709,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[244708,136119]) ).

cnf(244718,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp12
    | hskp3 ),
    inference(spm,[status(thm)],[15432,244709,theory(equality)]) ).

cnf(244762,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3
    | ~ hskp14
    | ~ hskp10 ),
    inference(spm,[status(thm)],[237912,244709,theory(equality)]) ).

cnf(244763,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[244718,166953]) ).

cnf(244776,negated_conjecture,
    ( hskp3
    | hskp12
    | ~ hskp19
    | ~ hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[116278,244763,theory(equality)]) ).

cnf(244809,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | ~ hskp25
    | ~ hskp3
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[20560,128]) ).

cnf(244810,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | ~ hskp3
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[244809,227519]) ).

cnf(244966,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp25
    | ~ hskp10
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[20562,100]) ).

cnf(244967,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp10
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[244966,227519]) ).

cnf(244968,negated_conjecture,
    ( hskp19
    | ~ hskp10
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[244967,99]) ).

cnf(244970,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp10
    | ~ hskp25 ),
    inference(spm,[status(thm)],[244968,7786,theory(equality)]) ).

cnf(244972,negated_conjecture,
    ( hskp19
    | hskp28
    | hskp3
    | ~ hskp10
    | ~ hskp25 ),
    inference(spm,[status(thm)],[244968,11996,theory(equality)]) ).

cnf(244973,negated_conjecture,
    ( hskp19
    | hskp29
    | ~ hskp10
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[244968,26142,theory(equality)]) ).

cnf(244976,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp10
    | ~ hskp25
    | ~ hskp21 ),
    inference(spm,[status(thm)],[244968,30639,theory(equality)]) ).

cnf(245012,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3
    | ~ hskp14 ),
    inference(csr,[status(thm)],[244762,126341]) ).

cnf(245013,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[245012,161910]) ).

cnf(245016,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp3 ),
    inference(spm,[status(thm)],[35268,245013,theory(equality)]) ).

cnf(245028,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp3 ),
    inference(spm,[status(thm)],[142017,245013,theory(equality)]) ).

cnf(245073,negated_conjecture,
    ( hskp19
    | c1_1(a2425)
    | ~ hskp25
    | ~ hskp16
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[20564,76]) ).

cnf(245074,negated_conjecture,
    ( hskp19
    | c1_1(a2425)
    | ~ hskp16
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[245073,227519]) ).

cnf(245554,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[244776,195326]) ).

cnf(245555,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[245554,245028]) ).

cnf(245579,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2478)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[20584,227519]) ).

cnf(245580,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2478)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[245579,4385]) ).

cnf(246000,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp10 ),
    inference(csr,[status(thm)],[244970,227519]) ).

cnf(246004,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1
    | hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[36163,246000,theory(equality)]) ).

cnf(246033,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp9
    | hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[144156,246000,theory(equality)]) ).

cnf(246051,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp19
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[166950,246000,theory(equality)]) ).

cnf(246237,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[244972,227519]) ).

cnf(246246,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp19
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[15432,246237,theory(equality)]) ).

cnf(246247,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp14
    | hskp19
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[15435,246237,theory(equality)]) ).

cnf(246260,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp17
    | hskp3
    | hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[57287,246237,theory(equality)]) ).

cnf(246269,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp30
    | ~ hskp17
    | ~ hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[87888,246237,theory(equality)]) ).

cnf(246270,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[88075,246237,theory(equality)]) ).

cnf(246291,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[244973,227519]) ).

cnf(246292,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp19
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2048,246291,theory(equality)]) ).

cnf(246312,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp19
    | ~ hskp1
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[63374,246291,theory(equality)]) ).

cnf(246313,negated_conjecture,
    ( hskp15
    | hskp19
    | ~ hskp1
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[63423,246291,theory(equality)]) ).

cnf(246393,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp21
    | ~ hskp10 ),
    inference(csr,[status(thm)],[244976,227519]) ).

cnf(246403,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp6
    | ~ hskp21 ),
    inference(spm,[status(thm)],[246393,70974,theory(equality)]) ).

cnf(246416,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp30
    | ~ hskp21
    | ~ hskp9 ),
    inference(spm,[status(thm)],[246393,229016,theory(equality)]) ).

cnf(246427,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[246403,27793]) ).

cnf(247779,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[246004,5697]) ).

cnf(247781,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26665,247779,theory(equality)]) ).

cnf(247821,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[247781,5697]) ).

cnf(248664,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[246033,114823]) ).

cnf(248683,negated_conjecture,
    ( hskp3
    | hskp21
    | hskp9
    | ~ hskp12
    | ~ hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[135266,248664,theory(equality)]) ).

cnf(248759,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[246051,79598]) ).

cnf(248775,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | hskp19 ),
    inference(spm,[status(thm)],[131844,248759,theory(equality)]) ).

cnf(248792,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp19
    | hskp9
    | ~ hskp11 ),
    inference(spm,[status(thm)],[160037,248759,theory(equality)]) ).

cnf(248801,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[248775,5697]) ).

cnf(249415,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | c0_1(a2406)
    | ~ hskp28
    | ~ hskp10 ),
    inference(csr,[status(thm)],[20667,100]) ).

cnf(249416,negated_conjecture,
    ( hskp19
    | c0_1(a2406)
    | ~ hskp28
    | ~ hskp10 ),
    inference(csr,[status(thm)],[249415,99]) ).

cnf(249422,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp19
    | ~ hskp28
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2244,249416,theory(equality)]) ).

cnf(249678,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp18
    | hskp3 ),
    inference(csr,[status(thm)],[246246,148548]) ).

cnf(249679,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp3 ),
    inference(csr,[status(thm)],[249678,31822]) ).

cnf(249682,negated_conjecture,
    ( hskp0
    | hskp20
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[66642,249679,theory(equality)]) ).

cnf(249693,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp3
    | hskp1
    | hskp20 ),
    inference(spm,[status(thm)],[129079,249679,theory(equality)]) ).

cnf(249709,negated_conjecture,
    ( hskp2
    | hskp20
    | hskp3
    | ~ hskp21
    | ~ hskp9 ),
    inference(spm,[status(thm)],[157085,249679,theory(equality)]) ).

cnf(249720,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[249682,245013]) ).

cnf(249744,negated_conjecture,
    ( hskp7
    | hskp0
    | hskp3
    | ~ hskp30 ),
    inference(spm,[status(thm)],[211585,249720,theory(equality)]) ).

cnf(250067,negated_conjecture,
    ( hskp7
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[249744,231985]) ).

cnf(250068,negated_conjecture,
    ( hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[250067,135409]) ).

cnf(250093,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[249693,31822]) ).

cnf(250171,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18
    | ~ hskp10 ),
    inference(csr,[status(thm)],[246270,245028]) ).

cnf(250219,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp21
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[250171,248664,theory(equality)]) ).

cnf(250277,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[246292,31822]) ).

cnf(250279,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp20
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[26665,250277,theory(equality)]) ).

cnf(250307,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp11
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[160037,250277,theory(equality)]) ).

cnf(250344,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp10
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[14432,246313,theory(equality)]) ).

cnf(250559,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[246416,130554]) ).

cnf(251549,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9
    | ~ hskp11 ),
    inference(csr,[status(thm)],[248792,31822]) ).

cnf(251848,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | ~ hskp28 ),
    inference(csr,[status(thm)],[249422,184582]) ).

cnf(251883,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[251848,246237,theory(equality)]) ).

cnf(252483,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[249709,237336]) ).

cnf(252484,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[252483,34149]) ).

cnf(253304,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[250219,246393]) ).

cnf(253307,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp3
    | hskp30
    | hskp2 ),
    inference(spm,[status(thm)],[253304,39381,theory(equality)]) ).

cnf(253318,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[253304,132950,theory(equality)]) ).

cnf(253356,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp3
    | ~ hskp1
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[21305,136]) ).

cnf(253383,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | hskp4
    | ~ hskp3
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[253356,43160,theory(equality)]) ).

cnf(253429,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp3
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[253356,86932,theory(equality)]) ).

cnf(253477,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[253307,253318]) ).

cnf(253478,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp3 ),
    inference(csr,[status(thm)],[253477,250559]) ).

cnf(253546,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[250279,31822]) ).

cnf(253576,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[250307,60105]) ).

cnf(253601,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp16
    | ~ hskp3
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[21311,76]) ).

cnf(253604,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | hskp10
    | ~ hskp16
    | ~ hskp3 ),
    inference(spm,[status(thm)],[253601,37593,theory(equality)]) ).

cnf(253699,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[250344,230801]) ).

cnf(253757,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[21315,36]) ).

cnf(253758,negated_conjecture,
    ( hskp14
    | c1_1(a2405)
    | ~ hskp26
    | ~ hskp3 ),
    inference(csr,[status(thm)],[253757,35]) ).

cnf(253791,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp14
    | ~ hskp26
    | ~ hskp3 ),
    inference(spm,[status(thm)],[154774,253758,theory(equality)]) ).

cnf(254089,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[251883,226817]) ).

cnf(256256,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp12
    | ~ hskp26 ),
    inference(csr,[status(thm)],[253791,136259]) ).

cnf(256257,negated_conjecture,
    ( hskp14
    | hskp12
    | ~ hskp26 ),
    inference(csr,[status(thm)],[256256,233118]) ).

cnf(256265,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | ~ hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[189010,256257,theory(equality)]) ).

cnf(256670,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp26
    | ~ hskp8 ),
    inference(csr,[status(thm)],[256265,157248]) ).

cnf(256672,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp30
    | hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[256670,12,theory(equality)]) ).

cnf(256681,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp12
    | ~ hskp8 ),
    inference(csr,[status(thm)],[256672,14432]) ).

cnf(256687,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp12
    | hskp20
    | hskp11
    | hskp9 ),
    inference(spm,[status(thm)],[256681,100171,theory(equality)]) ).

cnf(257119,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp3
    | ~ hskp2
    | ~ hskp25 ),
    inference(spm,[status(thm)],[244593,11996,theory(equality)]) ).

cnf(257133,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[257119,227519]) ).

cnf(257135,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp19
    | hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2448,257133,theory(equality)]) ).

cnf(257166,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[88075,257133,theory(equality)]) ).

cnf(257194,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp19
    | hskp11
    | hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[79209,257135,theory(equality)]) ).

cnf(257610,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18
    | ~ hskp2 ),
    inference(csr,[status(thm)],[257166,245028]) ).

cnf(257662,negated_conjecture,
    ( hskp19
    | hskp3
    | hskp20
    | ~ hskp2 ),
    inference(spm,[status(thm)],[257610,249679,theory(equality)]) ).

cnf(257668,negated_conjecture,
    ( hskp20
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[257662,31822]) ).

cnf(258435,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[244594,241394]) ).

cnf(259364,negated_conjecture,
    ( hskp14
    | hskp10
    | c1_1(a2405)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[253604,226817]) ).

cnf(259365,negated_conjecture,
    ( hskp14
    | hskp10
    | c1_1(a2405) ),
    inference(csr,[status(thm)],[259364,166935]) ).

cnf(259398,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp14
    | hskp10 ),
    inference(spm,[status(thm)],[154774,259365,theory(equality)]) ).

cnf(259594,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp10 ),
    inference(csr,[status(thm)],[259398,137629]) ).

cnf(260510,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2408)
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[99,241140,theory(equality)]) ).

cnf(260550,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2408)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[260510,146520]) ).

cnf(260579,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp19
    | ~ hskp26
    | ~ hskp5
    | ~ hskp23 ),
    inference(spm,[status(thm)],[130624,260550,theory(equality)]) ).

cnf(260602,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[241480,40,theory(equality)]) ).

cnf(260736,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[256687,230752]) ).

cnf(260737,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | hskp12 ),
    inference(csr,[status(thm)],[260736,92668]) ).

cnf(260738,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp12 ),
    inference(csr,[status(thm)],[260737,142017]) ).

cnf(260904,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | c1_1(a2478) ),
    inference(csr,[status(thm)],[260602,227519]) ).

cnf(260926,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp19
    | hskp9
    | hskp8 ),
    inference(spm,[status(thm)],[99859,260904,theory(equality)]) ).

cnf(260938,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | hskp9
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[244810,260904,theory(equality)]) ).

cnf(260944,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp1
    | hskp9
    | hskp8
    | ~ hskp2 ),
    inference(spm,[status(thm)],[244595,260904,theory(equality)]) ).

cnf(260948,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[21757,76]) ).

cnf(260983,negated_conjecture,
    ( hskp19
    | hskp14
    | ~ hskp10
    | ~ hskp25
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(spm,[status(thm)],[244968,260948,theory(equality)]) ).

cnf(260993,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[260926,31822]) ).

cnf(260994,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[260993,251549]) ).

cnf(261010,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0
    | hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[92265,260994,theory(equality)]) ).

cnf(261043,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp20
    | hskp9 ),
    inference(spm,[status(thm)],[166950,260994,theory(equality)]) ).

cnf(261057,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[261043,166953]) ).

cnf(261118,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[261010,230752]) ).

cnf(261119,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp0 ),
    inference(csr,[status(thm)],[261118,226547]) ).

cnf(261147,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | ~ hskp26
    | ~ hskp25
    | ~ c1_1(a2484) ),
    inference(csr,[status(thm)],[21761,36]) ).

cnf(261148,negated_conjecture,
    ( hskp14
    | c1_1(a2478)
    | ~ hskp26
    | ~ hskp25 ),
    inference(csr,[status(thm)],[261147,35]) ).

cnf(261184,negated_conjecture,
    ( hskp19
    | c1_1(a2425)
    | hskp14
    | ~ hskp16
    | ~ hskp26
    | ~ hskp25 ),
    inference(spm,[status(thm)],[245074,261148,theory(equality)]) ).

cnf(261858,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp9
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[31161,260938,theory(equality)]) ).

cnf(261908,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[261858,31822]) ).

cnf(261965,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp20
    | hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[224908,261908,theory(equality)]) ).

cnf(261966,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[226458,261908,theory(equality)]) ).

cnf(261970,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9 ),
    inference(csr,[status(thm)],[261966,249679]) ).

cnf(262787,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[261965,261970]) ).

cnf(262788,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp2 ),
    inference(csr,[status(thm)],[262787,252484]) ).

cnf(262794,negated_conjecture,
    ( hskp3
    | hskp20
    | hskp2
    | ~ hskp21
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[88101,262788,theory(equality)]) ).

cnf(262797,negated_conjecture,
    ( hskp3
    | hskp20
    | hskp2
    | ~ hskp12
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[88536,262788,theory(equality)]) ).

cnf(263913,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2478)
    | ~ hskp0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[241490,40,theory(equality)]) ).

cnf(263926,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2478)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[263913,227519]) ).

cnf(263948,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | hskp29
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[99859,263926,theory(equality)]) ).

cnf(263960,negated_conjecture,
    ( hskp19
    | c1_1(a2405)
    | hskp29
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[244810,263926,theory(equality)]) ).

cnf(263965,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[258435,263926,theory(equality)]) ).

cnf(263973,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp14
    | hskp19
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4303,263965,theory(equality)]) ).

cnf(264085,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp29
    | hskp19
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2440,263960,theory(equality)]) ).

cnf(264089,negated_conjecture,
    ( hskp14
    | hskp29
    | hskp19
    | ~ hskp7
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[27597,263960,theory(equality)]) ).

cnf(264090,negated_conjecture,
    ( hskp20
    | hskp29
    | hskp19
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[31161,263960,theory(equality)]) ).

cnf(264115,negated_conjecture,
    ( hskp15
    | hskp29
    | hskp19
    | ~ hskp8
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[153979,263960,theory(equality)]) ).

cnf(264140,negated_conjecture,
    ( hskp29
    | hskp20
    | ~ hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[264090,31822]) ).

cnf(264141,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2048,264140,theory(equality)]) ).

cnf(264188,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[98847,264140,theory(equality)]) ).

cnf(264238,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp0 ),
    inference(csr,[status(thm)],[264141,249679]) ).

cnf(264251,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[125094,264238,theory(equality)]) ).

cnf(264344,negated_conjecture,
    ( hskp20
    | ~ hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[264251,264188]) ).

cnf(266904,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[230294,93226]) ).

cnf(266905,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[266904,236209]) ).

cnf(266906,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[266905,2646]) ).

cnf(267321,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp18
    | hskp0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[230380,261119]) ).

cnf(267322,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp18
    | hskp0 ),
    inference(csr,[status(thm)],[267321,261119]) ).

cnf(267323,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp18 ),
    inference(csr,[status(thm)],[267322,264238]) ).

cnf(267336,negated_conjecture,
    ( hskp20
    | hskp1
    | hskp30
    | ~ hskp3 ),
    inference(spm,[status(thm)],[125094,267323,theory(equality)]) ).

cnf(267372,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp1 ),
    inference(csr,[status(thm)],[267336,250093]) ).

cnf(267578,negated_conjecture,
    ( hskp30
    | hskp1
    | hskp0
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[231323,71992]) ).

cnf(267579,negated_conjecture,
    ( hskp30
    | hskp1
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[267578,230801]) ).

cnf(267580,negated_conjecture,
    ( hskp30
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[267579,230694]) ).

cnf(271034,negated_conjecture,
    ( hskp10
    | c1_1(a2409)
    | c1_1(a2417)
    | ~ hskp29
    | ~ hskp12 ),
    inference(csr,[status(thm)],[23114,91]) ).

cnf(271035,negated_conjecture,
    ( hskp10
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp12 ),
    inference(csr,[status(thm)],[271034,90]) ).

cnf(271038,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp10
    | ~ hskp29
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2694,271035,theory(equality)]) ).

cnf(271063,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp3
    | ~ c1_1(a2405)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[123823,271035,theory(equality)]) ).

cnf(271064,negated_conjecture,
    ( hskp10
    | ~ hskp29
    | ~ hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[124237,271035,theory(equality)]) ).

cnf(271085,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ hskp12
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[271064,25395,theory(equality)]) ).

cnf(271147,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[271038,126341]) ).

cnf(271464,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[271085,51685]) ).

cnf(271465,negated_conjecture,
    ( hskp10
    | hskp11
    | hskp8
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[271464,11,theory(equality)]) ).

cnf(271624,negated_conjecture,
    ( hskp10
    | hskp8
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[271465,60105]) ).

cnf(272238,negated_conjecture,
    ( hskp10
    | hskp19
    | ~ hskp29
    | ~ hskp12
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[271063,26490,theory(equality)]) ).

cnf(273459,negated_conjecture,
    ( hskp5
    | c1_1(a2413)
    | ~ hskp19
    | ~ hskp9
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[24288,104]) ).

cnf(273460,negated_conjecture,
    ( hskp5
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[273459,97025]) ).

cnf(273461,negated_conjecture,
    ( hskp5
    | ~ hskp9
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[273460,102]) ).

cnf(273465,negated_conjecture,
    ( hskp5
    | ~ hskp9
    | ~ hskp19
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[273461,71599,theory(equality)]) ).

cnf(273686,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[273465,29971]) ).

cnf(273687,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[273686,77327]) ).

cnf(273688,negated_conjecture,
    ( hskp5
    | ~ hskp9 ),
    inference(csr,[status(thm)],[273687,97025]) ).

cnf(273913,negated_conjecture,
    ( hskp5
    | c1_1(a2500)
    | ~ hskp27
    | ~ c2_1(a2432)
    | ~ c2_1(a2500) ),
    inference(csr,[status(thm)],[24298,97025]) ).

cnf(273914,negated_conjecture,
    ( hskp5
    | ~ hskp27
    | ~ c2_1(a2432)
    | ~ c2_1(a2500) ),
    inference(csr,[status(thm)],[273913,31]) ).

cnf(274042,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp19
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[246247,254089]) ).

cnf(274043,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[274042,31822]) ).

cnf(274059,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp14
    | hskp3
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[88079,274043,theory(equality)]) ).

cnf(274240,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp17
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[246260,3886]) ).

cnf(274244,negated_conjecture,
    ( hskp4
    | hskp21
    | hskp17
    | hskp3
    | ~ hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[44191,274240,theory(equality)]) ).

cnf(274355,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp30
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[246269,87987]) ).

cnf(274356,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[274355,166949]) ).

cnf(274357,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[274356,253478]) ).

cnf(274709,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | ~ hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[246312,229477]) ).

cnf(274747,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp14
    | ~ hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[241177,274709,theory(equality)]) ).

cnf(274799,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[274747,259594]) ).

cnf(276220,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp3
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[248683,135727]) ).

cnf(276221,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[276220,245016]) ).

cnf(276222,negated_conjecture,
    ( hskp9
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[276221,30506]) ).

cnf(277187,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp11
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[257194,34444]) ).

cnf(277188,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[277187,253478]) ).

cnf(277189,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[277188,138366]) ).

cnf(279394,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp19
    | ~ hskp26
    | ~ hskp23 ),
    inference(csr,[status(thm)],[260579,97025]) ).

cnf(279395,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp19
    | ~ hskp23 ),
    inference(csr,[status(thm)],[279394,12]) ).

cnf(279405,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp21
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[58716,279395,theory(equality)]) ).

cnf(279412,negated_conjecture,
    ( hskp20
    | hskp30
    | hskp19
    | ~ hskp26
    | ~ hskp21
    | ~ hskp23 ),
    inference(spm,[status(thm)],[61697,279395,theory(equality)]) ).

cnf(279497,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp23
    | ~ hskp1 ),
    inference(csr,[status(thm)],[279405,130554]) ).

cnf(279514,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | ~ hskp1
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[279497,55269,theory(equality)]) ).

cnf(279833,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp8
    | hskp1
    | ~ hskp2 ),
    inference(csr,[status(thm)],[260944,5697]) ).

cnf(280211,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp2
    | ~ hskp21
    | ~ hskp9 ),
    inference(csr,[status(thm)],[262794,252484]) ).

cnf(280212,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[280211,252484]) ).

cnf(280213,negated_conjecture,
    ( hskp20
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[280212,257668]) ).

cnf(280368,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp2
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[262797,91074]) ).

cnf(280369,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp2
    | ~ hskp11 ),
    inference(csr,[status(thm)],[280368,139849]) ).

cnf(280370,negated_conjecture,
    ( hskp20
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[280369,257668]) ).

cnf(281181,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[263948,31822]) ).

cnf(281182,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp12
    | ~ hskp0 ),
    inference(csr,[status(thm)],[281181,253576]) ).

cnf(281228,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp3
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[98847,281182,theory(equality)]) ).

cnf(281609,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[281228,264344]) ).

cnf(281610,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp0 ),
    inference(csr,[status(thm)],[281609,245013]) ).

cnf(281895,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp14
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[263973,77825]) ).

cnf(281899,negated_conjecture,
    ( hskp4
    | hskp15
    | hskp14
    | hskp1
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[44191,281895,theory(equality)]) ).

cnf(281932,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp19
    | hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[264085,246427]) ).

cnf(281942,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | ~ hskp21
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[58716,281932,theory(equality)]) ).

cnf(282325,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp15
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[264115,158666]) ).

cnf(282346,negated_conjecture,
    ( hskp15
    | hskp19
    | ~ hskp1
    | ~ hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[63423,282325,theory(equality)]) ).

cnf(282428,negated_conjecture,
    ( hskp19
    | hskp15
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[282346,163235]) ).

cnf(282429,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp9
    | hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[282428,8,theory(equality)]) ).

cnf(282450,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[282429,17442]) ).

cnf(282456,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp9
    | hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[79209,282450,theory(equality)]) ).

cnf(282549,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[282456,277189]) ).

cnf(282550,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp7 ),
    inference(csr,[status(thm)],[282549,229016]) ).

cnf(282559,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[253699,282550,theory(equality)]) ).

cnf(283465,negated_conjecture,
    ( hskp4
    | c1_1(a2413)
    | ~ hskp20
    | ~ hskp9
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[26069,104]) ).

cnf(283466,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp9
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[283465,102]) ).

cnf(283467,negated_conjecture,
    ( hskp4
    | hskp12
    | ~ hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[283466,1794,theory(equality)]) ).

cnf(283470,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp20
    | ~ hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[283466,36035,theory(equality)]) ).

cnf(283471,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[283466,45233,theory(equality)]) ).

cnf(283476,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[71849,283467,theory(equality)]) ).

cnf(283495,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[283471,59217]) ).

cnf(283500,negated_conjecture,
    ( hskp0
    | ~ hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71854,283495,theory(equality)]) ).

cnf(283584,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp0
    | ~ hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[283476,261119,theory(equality)]) ).

cnf(283595,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[26070,90]) ).

cnf(283697,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[283470,36037]) ).

cnf(283698,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp18
    | ~ hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[283697,2803,theory(equality)]) ).

cnf(283809,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[283584,59217]) ).

cnf(283810,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[283809,196149]) ).

cnf(283828,negated_conjecture,
    ( hskp4
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[26078,40]) ).

cnf(283836,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp11
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[44369,283828,theory(equality)]) ).

cnf(283863,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp10
    | ~ hskp25
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[244968,283828,theory(equality)]) ).

cnf(283895,negated_conjecture,
    ( hskp18
    | hskp4
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[283698,226458]) ).

cnf(283897,negated_conjecture,
    ( hskp18
    | hskp1
    | ~ hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[71114,283895,theory(equality)]) ).

cnf(283934,negated_conjecture,
    ( hskp18
    | hskp1
    | hskp10
    | ~ hskp6
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[283897,271624,theory(equality)]) ).

cnf(284082,negated_conjecture,
    ( hskp4
    | hskp12
    | ~ hskp25
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[283836,1794,theory(equality)]) ).

cnf(284088,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[284082,174276]) ).

cnf(284092,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[71849,284088,theory(equality)]) ).

cnf(284110,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[284092,195695]) ).

cnf(284677,negated_conjecture,
    ( hskp4
    | c1_1(a2413)
    | ~ hskp23
    | ~ hskp9
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[26171,104]) ).

cnf(284678,negated_conjecture,
    ( hskp4
    | ~ hskp23
    | ~ hskp9
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[284677,102]) ).

cnf(284687,negated_conjecture,
    ( hskp4
    | hskp29
    | c1_1(a2408)
    | ~ hskp23
    | ~ hskp9 ),
    inference(spm,[status(thm)],[284678,228038,theory(equality)]) ).

cnf(285159,negated_conjecture,
    ( hskp4
    | c1_1(a2478)
    | ~ hskp25
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[26180,40]) ).

cnf(285167,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp11
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[44369,285159,theory(equality)]) ).

cnf(285257,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp4
    | ~ hskp26
    | ~ hskp5
    | ~ hskp23
    | ~ hskp9 ),
    inference(spm,[status(thm)],[130624,284687,theory(equality)]) ).

cnf(285298,negated_conjecture,
    ( hskp4
    | hskp12
    | ~ hskp25
    | ~ hskp23
    | ~ hskp11 ),
    inference(spm,[status(thm)],[285167,1795,theory(equality)]) ).

cnf(285308,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp25
    | ~ hskp23 ),
    inference(csr,[status(thm)],[285298,2283]) ).

cnf(285310,negated_conjecture,
    ( hskp12
    | ~ hskp8
    | ~ hskp6
    | ~ hskp25
    | ~ hskp23 ),
    inference(spm,[status(thm)],[71114,285308,theory(equality)]) ).

cnf(285409,negated_conjecture,
    ( hskp12
    | ~ hskp23
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[285310,195695]) ).

cnf(285410,negated_conjecture,
    ( hskp12
    | hskp14
    | ~ hskp8
    | ~ hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[285409,2285,theory(equality)]) ).

cnf(285416,negated_conjecture,
    ( hskp12
    | hskp20
    | hskp14
    | ~ hskp8
    | ~ hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[285409,12685,theory(equality)]) ).

cnf(285491,negated_conjecture,
    ( hskp14
    | hskp12
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[285410,283810]) ).

cnf(286873,negated_conjecture,
    ( hskp19
    | hskp10
    | ~ hskp29
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[272238,176581]) ).

cnf(286874,negated_conjecture,
    ( hskp19
    | ~ hskp29
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[286873,26657]) ).

cnf(286884,negated_conjecture,
    ( hskp19
    | hskp0
    | ~ hskp13
    | ~ hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[286874,45241,theory(equality)]) ).

cnf(286902,negated_conjecture,
    ( hskp19
    | hskp30
    | ~ hskp13
    | ~ hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[286874,279395,theory(equality)]) ).

cnf(286961,negated_conjecture,
    ( hskp19
    | hskp0
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[286884,125088]) ).

cnf(286962,negated_conjecture,
    ( hskp19
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[286961,250068]) ).

cnf(287100,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[286902,253478]) ).

cnf(287104,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp1
    | ~ hskp23
    | ~ hskp18 ),
    inference(spm,[status(thm)],[287100,12826,theory(equality)]) ).

cnf(287115,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp16
    | ~ hskp23
    | ~ hskp15
    | ~ hskp1 ),
    inference(spm,[status(thm)],[287100,161339,theory(equality)]) ).

cnf(287291,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp23
    | ~ hskp18 ),
    inference(csr,[status(thm)],[287104,279497]) ).

cnf(287338,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | hskp9
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[287291,221499,theory(equality)]) ).

cnf(287656,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp9
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[274059,245013]) ).

cnf(287657,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[287656,261970]) ).

cnf(287658,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[287657,280213]) ).

cnf(287689,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp4
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[274244,60105]) ).

cnf(287717,negated_conjecture,
    ( hskp4
    | hskp21
    | hskp3
    | ~ hskp30
    | ~ hskp11 ),
    inference(spm,[status(thm)],[67718,287689,theory(equality)]) ).

cnf(287847,negated_conjecture,
    ( hskp21
    | hskp4
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[287717,130554]) ).

cnf(287853,negated_conjecture,
    ( hskp3
    | hskp21
    | ~ hskp18
    | ~ hskp12
    | ~ hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[88094,287847,theory(equality)]) ).

cnf(290965,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | ~ hskp26
    | ~ hskp23 ),
    inference(csr,[status(thm)],[279412,130554]) ).

cnf(290966,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp19
    | ~ hskp23 ),
    inference(csr,[status(thm)],[290965,12]) ).

cnf(290967,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp23 ),
    inference(csr,[status(thm)],[290966,31822]) ).

cnf(291262,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | c1_1(a2411)
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[26609,112]) ).

cnf(291263,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | c1_1(a2411)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[291262,8]) ).

cnf(291264,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp7
    | ~ hskp13 ),
    inference(spm,[status(thm)],[111,291263,theory(equality)]) ).

cnf(291300,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp13 ),
    inference(csr,[status(thm)],[291264,8]) ).

cnf(291304,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[291300,12826,theory(equality)]) ).

cnf(291319,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[291300,279833,theory(equality)]) ).

cnf(291320,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[291304,5697]) ).

cnf(291360,negated_conjecture,
    ( hskp15
    | hskp1
    | hskp9
    | ~ hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[163235,291320,theory(equality)]) ).

cnf(291392,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp1
    | ~ hskp2 ),
    inference(csr,[status(thm)],[291319,5697]) ).

cnf(291396,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[36163,291392,theory(equality)]) ).

cnf(291464,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[291396,96098]) ).

cnf(291560,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp3 ),
    inference(csr,[status(thm)],[291360,291464]) ).

cnf(291564,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp9
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[14432,291560,theory(equality)]) ).

cnf(291661,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[291564,253478]) ).

cnf(291662,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[291661,5697]) ).

cnf(292236,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | ~ hskp7
    | ~ hskp1 ),
    inference(csr,[status(thm)],[279514,28302]) ).

cnf(292237,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[292236,282559]) ).

cnf(292895,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp4
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[281899,36367]) ).

cnf(292898,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp19
    | ~ hskp6
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[71600,292895,theory(equality)]) ).

cnf(292929,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[281942,59076]) ).

cnf(292930,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[292929,27793]) ).

cnf(294067,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp1
    | ~ hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[283934,291464]) ).

cnf(294068,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp1
    | ~ hskp12 ),
    inference(csr,[status(thm)],[294067,70974]) ).

cnf(294559,negated_conjecture,
    ( hskp3
    | c1_1(a2411)
    | ~ hskp7
    | ~ c2_1(a2402)
    | ~ c2_1(a2411) ),
    inference(csr,[status(thm)],[27607,250068]) ).

cnf(294560,negated_conjecture,
    ( hskp3
    | c1_1(a2411)
    | ~ hskp7
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[294559,112]) ).

cnf(294561,negated_conjecture,
    ( hskp3
    | ~ hskp7
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[294560,111]) ).

cnf(294783,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp12
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[285416,285491]) ).

cnf(294784,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp12
    | ~ hskp8 ),
    inference(csr,[status(thm)],[294783,73832]) ).

cnf(294792,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp11
    | hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[189010,294784,theory(equality)]) ).

cnf(294805,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp12
    | ~ hskp8 ),
    inference(csr,[status(thm)],[294792,161031]) ).

cnf(294812,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp12
    | hskp30
    | hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[294805,138561,theory(equality)]) ).

cnf(297767,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp16
    | ~ hskp23
    | ~ hskp15 ),
    inference(csr,[status(thm)],[287115,14432]) ).

cnf(297768,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp16
    | ~ hskp23 ),
    inference(csr,[status(thm)],[297767,1729]) ).

cnf(297989,negated_conjecture,
    ( hskp3
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[27684,129320]) ).

cnf(297990,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[297989,34149]) ).

cnf(297992,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2402)
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,297990,theory(equality)]) ).

cnf(298360,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | ~ hskp9
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[297992,104]) ).

cnf(298361,negated_conjecture,
    ( hskp2
    | ~ hskp9
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[298360,102]) ).

cnf(298451,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[287338,291662]) ).

cnf(298452,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | hskp9 ),
    inference(csr,[status(thm)],[298451,292237]) ).

cnf(299226,negated_conjecture,
    ( hskp21
    | hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[287853,27793]) ).

cnf(299227,negated_conjecture,
    ( hskp21
    | hskp3
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[299226,160142]) ).

cnf(299659,negated_conjecture,
    ( hskp12
    | hskp3
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[28051,245016]) ).

cnf(299666,negated_conjecture,
    ( hskp12
    | hskp3
    | c1_1(a2435)
    | ~ hskp20
    | ~ c2_1(a2435) ),
    inference(spm,[status(thm)],[59,299659,theory(equality)]) ).

cnf(299670,negated_conjecture,
    ( hskp12
    | hskp3
    | c1_1(a2478)
    | ~ hskp25
    | ~ c2_1(a2478) ),
    inference(spm,[status(thm)],[39,299659,theory(equality)]) ).

cnf(300561,negated_conjecture,
    ( hskp12
    | hskp3
    | c1_1(a2435)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[299666,1794]) ).

cnf(300562,negated_conjecture,
    ( hskp12
    | hskp3
    | c1_1(a2435) ),
    inference(csr,[status(thm)],[300561,245013]) ).

cnf(301063,negated_conjecture,
    ( hskp12
    | hskp3
    | c1_1(a2478)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[299670,40]) ).

cnf(301102,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | hskp12
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[258435,301063,theory(equality)]) ).

cnf(302272,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp30
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[28102,28096]) ).

cnf(304604,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | c1_1(a2411)
    | ~ hskp29
    | ~ hskp7 ),
    inference(csr,[status(thm)],[28184,112]) ).

cnf(304605,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp7 ),
    inference(csr,[status(thm)],[304604,111]) ).

cnf(304608,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp29
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2694,304605,theory(equality)]) ).

cnf(304657,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp7
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[304608,25395,theory(equality)]) ).

cnf(304752,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[304657,250068]) ).

cnf(304753,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[304752,276222]) ).

cnf(304943,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp19
    | ~ hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[292898,132251]) ).

cnf(304944,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp19
    | ~ hskp11 ),
    inference(csr,[status(thm)],[304943,165144]) ).

cnf(304957,negated_conjecture,
    ( hskp3
    | c1_1(a2409)
    | c1_1(a2478)
    | ~ hskp29
    | ~ hskp25 ),
    inference(csr,[status(thm)],[28190,40]) ).

cnf(304992,negated_conjecture,
    ( hskp19
    | hskp3
    | c1_1(a2409)
    | ~ hskp10
    | ~ hskp29
    | ~ hskp25 ),
    inference(spm,[status(thm)],[244968,304957,theory(equality)]) ).

cnf(305822,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X2)
    | c1_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[28224,34343]) ).

cnf(305823,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X2)
    | c1_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[305822,34343]) ).

cnf(305824,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[305823,34343]) ).

cnf(305825,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c1_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[305824,63373]) ).

cnf(305826,negated_conjecture,
    ( c2_1(a2402)
    | c1_1(a2409)
    | c1_1(a2402)
    | ~ hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[305825,139,theory(equality)]) ).

cnf(305827,negated_conjecture,
    ( c2_1(a2408)
    | c1_1(a2409)
    | c1_1(a2408)
    | ~ hskp29
    | ~ hskp5 ),
    inference(spm,[status(thm)],[305825,119,theory(equality)]) ).

cnf(305828,negated_conjecture,
    ( c2_1(a2416)
    | c1_1(a2409)
    | c1_1(a2416)
    | ~ hskp29
    | ~ hskp11 ),
    inference(spm,[status(thm)],[305825,96,theory(equality)]) ).

cnf(305829,negated_conjecture,
    ( c2_1(a2417)
    | c1_1(a2409)
    | c1_1(a2417)
    | ~ hskp29
    | ~ hskp12 ),
    inference(spm,[status(thm)],[305825,92,theory(equality)]) ).

cnf(305833,negated_conjecture,
    ( c2_1(a2435)
    | c1_1(a2409)
    | c1_1(a2435)
    | ~ hskp29
    | ~ hskp20 ),
    inference(spm,[status(thm)],[305825,60,theory(equality)]) ).

cnf(306016,negated_conjecture,
    ( c2_1(a2402)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp0 ),
    inference(csr,[status(thm)],[305826,138]) ).

cnf(306134,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | ~ hskp9
    | ~ hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[298361,306016,theory(equality)]) ).

cnf(306154,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[28227,42916]) ).

cnf(306155,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[306154,42916]) ).

cnf(306156,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(a2409)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[306155,42916]) ).

cnf(306157,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2409)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[306156,63373]) ).

cnf(306162,negated_conjecture,
    ( c2_1(a2428)
    | c1_1(a2409)
    | c1_1(a2428)
    | ~ hskp18
    | ~ hskp29 ),
    inference(spm,[status(thm)],[68,306157,theory(equality)]) ).

cnf(306165,negated_conjecture,
    ( c2_1(a2453)
    | c1_1(a2409)
    | c1_1(a2453)
    | ~ hskp22
    | ~ hskp29 ),
    inference(spm,[status(thm)],[52,306157,theory(equality)]) ).

cnf(306529,negated_conjecture,
    ( hskp2
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp9 ),
    inference(csr,[status(thm)],[306134,129320]) ).

cnf(306532,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp2
    | ~ hskp29
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2694,306529,theory(equality)]) ).

cnf(306584,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp29
    | ~ hskp9 ),
    inference(csr,[status(thm)],[306532,34149]) ).

cnf(306586,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[306584,25395,theory(equality)]) ).

cnf(306624,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[306586,129320]) ).

cnf(306930,negated_conjecture,
    ( c1_1(a2408)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp5 ),
    inference(csr,[status(thm)],[305827,118]) ).

cnf(306931,negated_conjecture,
    ( hskp23
    | hskp14
    | c1_1(a2408)
    | ~ hskp29
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2248,306930,theory(equality)]) ).

cnf(306933,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a2408)
    | ~ hskp29
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2694,306930,theory(equality)]) ).

cnf(306936,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a2408)
    | ~ hskp29
    | ~ hskp5 ),
    inference(spm,[status(thm)],[20977,306930,theory(equality)]) ).

cnf(306959,negated_conjecture,
    ( hskp10
    | c1_1(a2408)
    | ~ hskp29
    | ~ hskp26
    | ~ hskp5 ),
    inference(spm,[status(thm)],[124237,306930,theory(equality)]) ).

cnf(306962,negated_conjecture,
    ( hskp12
    | c1_1(a2408)
    | ~ hskp29
    | ~ hskp20
    | ~ hskp5 ),
    inference(spm,[status(thm)],[170088,306930,theory(equality)]) ).

cnf(306981,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ hskp5 ),
    inference(csr,[status(thm)],[306931,2098]) ).

cnf(306999,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[306981,227261,theory(equality)]) ).

cnf(307005,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[306981,234263,theory(equality)]) ).

cnf(307021,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp9 ),
    inference(csr,[status(thm)],[306999,273688]) ).

cnf(307072,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp16
    | hskp14
    | ~ hskp9 ),
    inference(spm,[status(thm)],[297768,307021,theory(equality)]) ).

cnf(307407,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[307005,77326]) ).

cnf(307410,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | hskp18
    | ~ hskp15 ),
    inference(spm,[status(thm)],[307407,23479,theory(equality)]) ).

cnf(307412,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | hskp18
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[307407,45237,theory(equality)]) ).

cnf(307443,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp16
    | hskp14 ),
    inference(csr,[status(thm)],[307072,298452]) ).

cnf(309089,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp15 ),
    inference(csr,[status(thm)],[307410,12227]) ).

cnf(309104,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp14
    | ~ hskp18
    | ~ hskp16
    | ~ hskp15 ),
    inference(spm,[status(thm)],[74962,309089,theory(equality)]) ).

cnf(310318,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ hskp5
    | ~ hskp29 ),
    inference(spm,[status(thm)],[15576,306936,theory(equality)]) ).

cnf(310368,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp29
    | ~ hskp5 ),
    inference(csr,[status(thm)],[310318,41155]) ).

cnf(310387,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[310368,228412,theory(equality)]) ).

cnf(310404,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[310387,273688]) ).

cnf(310942,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp16
    | ~ hskp5
    | ~ hskp29
    | ~ hskp26 ),
    inference(spm,[status(thm)],[130450,306959,theory(equality)]) ).

cnf(311059,negated_conjecture,
    ( hskp12
    | ~ hskp29
    | ~ hskp20
    | ~ hskp5 ),
    inference(csr,[status(thm)],[306962,166930]) ).

cnf(311068,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp20
    | ~ hskp5 ),
    inference(spm,[status(thm)],[311059,45241,theory(equality)]) ).

cnf(311077,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[311059,227676,theory(equality)]) ).

cnf(311094,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[311068,59369]) ).

cnf(311101,negated_conjecture,
    ( hskp12
    | hskp0
    | hskp6 ),
    inference(spm,[status(thm)],[311094,73832,theory(equality)]) ).

cnf(311198,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp0 ),
    inference(spm,[status(thm)],[67144,311101,theory(equality)]) ).

cnf(311289,negated_conjecture,
    ( hskp30
    | hskp0 ),
    inference(csr,[status(thm)],[311198,267580]) ).

cnf(311303,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp9 ),
    inference(csr,[status(thm)],[311077,273688]) ).

cnf(311320,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3
    | hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[311303,153351,theory(equality)]) ).

cnf(311329,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp9
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[311303,253546,theory(equality)]) ).

cnf(311334,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[311303,267372,theory(equality)]) ).

cnf(311551,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[311334,291662]) ).

cnf(312180,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[311320,35733]) ).

cnf(312181,negated_conjecture,
    ( hskp12
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[312180,245555]) ).

cnf(312292,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[311329,124140]) ).

cnf(312293,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[312292,248801]) ).

cnf(314067,negated_conjecture,
    ( c2_1(a2416)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp11 ),
    inference(csr,[status(thm)],[305828,95]) ).

cnf(314068,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp11 ),
    inference(csr,[status(thm)],[314067,94]) ).

cnf(314069,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2248,314068,theory(equality)]) ).

cnf(314072,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp29
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2997,314068,theory(equality)]) ).

cnf(314095,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[98844,314068,theory(equality)]) ).

cnf(314100,negated_conjecture,
    ( hskp12
    | ~ hskp29
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[170088,314068,theory(equality)]) ).

cnf(314139,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp19
    | ~ hskp11
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[314069,246291,theory(equality)]) ).

cnf(314185,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[314072,4568]) ).

cnf(314283,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp11 ),
    inference(csr,[status(thm)],[314095,280370]) ).

cnf(314352,negated_conjecture,
    ( hskp12
    | ~ hskp29
    | ~ hskp11 ),
    inference(csr,[status(thm)],[314100,314283]) ).

cnf(315362,negated_conjecture,
    ( c2_1(a2417)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp12 ),
    inference(csr,[status(thm)],[305829,90]) ).

cnf(315363,negated_conjecture,
    ( hskp15
    | c1_1(a2409)
    | ~ hskp12
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1698,315362,theory(equality)]) ).

cnf(315374,negated_conjecture,
    ( hskp5
    | c1_1(a2409)
    | ~ hskp12
    | ~ hskp29 ),
    inference(spm,[status(thm)],[24180,315362,theory(equality)]) ).

cnf(315479,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp29
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2449,315363,theory(equality)]) ).

cnf(315519,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[188703,315363,theory(equality)]) ).

cnf(315528,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp29 ),
    inference(csr,[status(thm)],[315479,69026]) ).

cnf(315530,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[315528,25395,theory(equality)]) ).

cnf(315546,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp19
    | hskp14
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[315528,263965,theory(equality)]) ).

cnf(315595,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[315519,166949]) ).

cnf(315601,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp17
    | ~ hskp12
    | ~ hskp0 ),
    inference(spm,[status(thm)],[315595,35772,theory(equality)]) ).

cnf(315630,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp11
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[14432,315530,theory(equality)]) ).

cnf(316019,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp5
    | ~ hskp29
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2248,315374,theory(equality)]) ).

cnf(316274,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[315601,35754]) ).

cnf(316275,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[316274,166949]) ).

cnf(316276,negated_conjecture,
    ( hskp15
    | ~ hskp17 ),
    inference(csr,[status(thm)],[316275,62156]) ).

cnf(316287,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[315630,311289]) ).

cnf(316288,negated_conjecture,
    ( hskp30
    | hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[316287,98642]) ).

cnf(316848,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ hskp12 ),
    inference(csr,[status(thm)],[316019,306981]) ).

cnf(316865,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp19
    | ~ hskp12
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[316848,246291,theory(equality)]) ).

cnf(316878,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[29095,91074]) ).

cnf(316881,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[316878,104,theory(equality)]) ).

cnf(319426,negated_conjecture,
    ( c1_1(a2435)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp20 ),
    inference(csr,[status(thm)],[305833,58]) ).

cnf(319428,negated_conjecture,
    ( hskp9
    | hskp1
    | c1_1(a2409)
    | ~ hskp20
    | ~ hskp29 ),
    inference(spm,[status(thm)],[5698,319426,theory(equality)]) ).

cnf(319430,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a2409)
    | ~ hskp20
    | ~ hskp29 ),
    inference(spm,[status(thm)],[6297,319426,theory(equality)]) ).

cnf(319496,negated_conjecture,
    ( hskp9
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp20 ),
    inference(csr,[status(thm)],[319428,63373]) ).

cnf(319526,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp29
    | ~ hskp20 ),
    inference(spm,[status(thm)],[170088,319496,theory(equality)]) ).

cnf(319545,negated_conjecture,
    ( hskp12
    | ~ hskp29
    | ~ hskp20 ),
    inference(csr,[status(thm)],[319526,311303]) ).

cnf(319550,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp20
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[319545,25949,theory(equality)]) ).

cnf(319560,negated_conjecture,
    ( hskp12
    | hskp30
    | ~ hskp20
    | ~ hskp26
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[319545,227291,theory(equality)]) ).

cnf(319736,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp23
    | ~ hskp20 ),
    inference(csr,[status(thm)],[319550,311094]) ).

cnf(319737,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[319736,14772]) ).

cnf(319738,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp14
    | ~ hskp30 ),
    inference(spm,[status(thm)],[319737,2285,theory(equality)]) ).

cnf(319779,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp6 ),
    inference(spm,[status(thm)],[319737,236209,theory(equality)]) ).

cnf(319821,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[319738,311551]) ).

cnf(319965,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[319430,2048]) ).

cnf(320103,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp15
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[294812,260738]) ).

cnf(320104,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp15
    | hskp12 ),
    inference(csr,[status(thm)],[320103,92668]) ).

cnf(320105,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp12 ),
    inference(csr,[status(thm)],[320104,162847]) ).

cnf(320958,negated_conjecture,
    ( c2_1(a2428)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[306162,66033]) ).

cnf(320959,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[320958,67]) ).

cnf(320983,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[98844,320959,theory(equality)]) ).

cnf(320987,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp8
    | ~ hskp18 ),
    inference(spm,[status(thm)],[158539,320959,theory(equality)]) ).

cnf(321064,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp3 ),
    inference(csr,[status(thm)],[320983,2048]) ).

cnf(321065,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[321064,10526,theory(equality)]) ).

cnf(321089,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp14
    | ~ hskp3
    | ~ hskp7
    | ~ hskp0 ),
    inference(spm,[status(thm)],[321064,264089,theory(equality)]) ).

cnf(321125,negated_conjecture,
    ( hskp15
    | ~ hskp29
    | ~ hskp8 ),
    inference(csr,[status(thm)],[320987,163301]) ).

cnf(321132,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp8
    | ~ hskp25
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[321125,44375,theory(equality)]) ).

cnf(321155,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[321065,250068]) ).

cnf(321532,negated_conjecture,
    ( c2_1(a2453)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp22 ),
    inference(csr,[status(thm)],[306165,51]) ).

cnf(321533,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp22 ),
    inference(csr,[status(thm)],[321532,50]) ).

cnf(321534,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29
    | ~ hskp22 ),
    inference(spm,[status(thm)],[2248,321533,theory(equality)]) ).

cnf(321591,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp5
    | ~ hskp29
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[321534,53749,theory(equality)]) ).

cnf(322924,negated_conjecture,
    ( hskp10
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[29416,224282]) ).

cnf(322925,negated_conjecture,
    ( hskp10
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[322924,37626]) ).

cnf(322926,negated_conjecture,
    ( hskp10
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[322925,166935]) ).

cnf(322929,negated_conjecture,
    ( hskp10
    | hskp2
    | c1_1(a2417)
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[91,322926,theory(equality)]) ).

cnf(323282,negated_conjecture,
    ( hskp10
    | hskp2
    | c1_1(a2417)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[322929,166949]) ).

cnf(323283,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[90,323282,theory(equality)]) ).

cnf(323320,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp17 ),
    inference(csr,[status(thm)],[323283,166949]) ).

cnf(324105,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp12
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[301102,227519]) ).

cnf(324106,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[324105,319821]) ).

cnf(324107,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp12 ),
    inference(csr,[status(thm)],[324106,274799]) ).

cnf(326139,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp14
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[307412,229050]) ).

cnf(326140,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[326139,12227]) ).

cnf(326141,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp0 ),
    inference(csr,[status(thm)],[326140,229477]) ).

cnf(326142,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp0 ),
    inference(spm,[status(thm)],[1729,326141,theory(equality)]) ).

cnf(326146,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp14
    | hskp0 ),
    inference(spm,[status(thm)],[14772,326141,theory(equality)]) ).

cnf(326213,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp12 ),
    inference(csr,[status(thm)],[326146,281610]) ).

cnf(326500,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp1
    | ~ hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[309104,12227]) ).

cnf(326501,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[326500,12227]) ).

cnf(326502,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[326501,291464]) ).

cnf(326705,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp29
    | ~ hskp16
    | ~ hskp5 ),
    inference(csr,[status(thm)],[310942,124048]) ).

cnf(326706,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp29
    | ~ hskp16 ),
    inference(csr,[status(thm)],[326705,124048]) ).

cnf(326707,negated_conjecture,
    ( hskp30
    | hskp10
    | ~ hskp29 ),
    inference(csr,[status(thm)],[326706,166935]) ).

cnf(326724,negated_conjecture,
    ( hskp30
    | hskp10
    | hskp19
    | hskp14
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[326707,263965,theory(equality)]) ).

cnf(326864,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | ~ hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[314139,326141]) ).

cnf(326865,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | ~ hskp11 ),
    inference(csr,[status(thm)],[326864,60105]) ).

cnf(326866,negated_conjecture,
    ( hskp15
    | hskp19
    | hskp14
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1729,326865,theory(equality)]) ).

cnf(326919,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp11 ),
    inference(csr,[status(thm)],[326866,304944]) ).

cnf(327653,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp14
    | hskp11
    | hskp1 ),
    inference(csr,[status(thm)],[315546,326142]) ).

cnf(327654,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp11
    | hskp1 ),
    inference(csr,[status(thm)],[327653,77825]) ).

cnf(327655,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp1 ),
    inference(csr,[status(thm)],[327654,326919]) ).

cnf(327976,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | ~ hskp12
    | ~ hskp10 ),
    inference(csr,[status(thm)],[316865,326141]) ).

cnf(327977,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[327976,324107]) ).

cnf(328005,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp19
    | hskp14
    | ~ hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[175904,327977,theory(equality)]) ).

cnf(328035,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp2
    | c2_1(X1)
    | c1_1(a2409)
    | c3_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[29912,319965]) ).

cnf(328036,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp2
    | c2_1(X1)
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[328035,319965]) ).

cnf(328037,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp2
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[328036,319965]) ).

cnf(328038,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[328037,319965]) ).

cnf(328039,negated_conjecture,
    ( hskp17
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[328038,320959]) ).

cnf(328041,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp17
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2694,328039,theory(equality)]) ).

cnf(328129,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp3
    | hskp19
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[328041,246291,theory(equality)]) ).

cnf(329916,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp26
    | ~ hskp20
    | ~ hskp9 ),
    inference(csr,[status(thm)],[319560,273688]) ).

cnf(329917,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp26
    | ~ hskp20 ),
    inference(csr,[status(thm)],[329916,141810]) ).

cnf(329918,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp26 ),
    inference(csr,[status(thm)],[329917,320105]) ).

cnf(331317,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp14
    | ~ hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[321089,264344]) ).

cnf(331318,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp14
    | ~ hskp0 ),
    inference(csr,[status(thm)],[331317,287658]) ).

cnf(331319,negated_conjecture,
    ( hskp20
    | hskp14
    | ~ hskp0 ),
    inference(csr,[status(thm)],[331318,31822]) ).

cnf(331357,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp25
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[321132,158666]) ).

cnf(331358,negated_conjecture,
    ( hskp15
    | ~ hskp8
    | ~ hskp6
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[71114,331357,theory(equality)]) ).

cnf(331376,negated_conjecture,
    ( hskp15
    | ~ hskp25
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[331358,61024]) ).

cnf(331400,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp25
    | ~ hskp11
    | ~ hskp18 ),
    inference(spm,[status(thm)],[331376,291320,theory(equality)]) ).

cnf(331846,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp5
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[321591,59369]) ).

cnf(331847,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp5
    | ~ hskp29 ),
    inference(csr,[status(thm)],[331846,77326]) ).

cnf(331848,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp29 ),
    inference(csr,[status(thm)],[331847,306981]) ).

cnf(333502,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[326724,311289]) ).

cnf(333503,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14
    | hskp10 ),
    inference(csr,[status(thm)],[333502,292237]) ).

cnf(333504,negated_conjecture,
    ( hskp30
    | hskp14
    | hskp10 ),
    inference(csr,[status(thm)],[333503,138366]) ).

cnf(333505,negated_conjecture,
    ( hskp14
    | hskp10 ),
    inference(csr,[status(thm)],[333504,119590]) ).

cnf(334903,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp14
    | hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[328005,333505]) ).

cnf(334904,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp14
    | hskp9 ),
    inference(csr,[status(thm)],[334903,287658]) ).

cnf(334905,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp9 ),
    inference(csr,[status(thm)],[334904,31822]) ).

cnf(335015,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp17
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[328129,250068]) ).

cnf(335016,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[335015,274357]) ).

cnf(336437,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp25
    | ~ hskp11 ),
    inference(csr,[status(thm)],[331400,291464]) ).

cnf(336438,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[336437,83419]) ).

cnf(336439,negated_conjecture,
    ( hskp15
    | hskp9
    | ~ hskp11 ),
    inference(csr,[status(thm)],[336438,36367]) ).

cnf(337938,negated_conjecture,
    ( hskp30
    | hskp29
    | ~ hskp9
    | ~ hskp3
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[227289,273688]) ).

cnf(337944,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp19
    | ~ hskp9
    | ~ hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[337938,263960,theory(equality)]) ).

cnf(338663,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp19
    | ~ hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[337944,311289]) ).

cnf(338664,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[338663,253478]) ).

cnf(338745,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp30
    | hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[331848,338664,theory(equality)]) ).

cnf(338807,negated_conjecture,
    ( hskp30
    | hskp23
    | hskp19
    | hskp14 ),
    inference(csr,[status(thm)],[338745,298452]) ).

cnf(338808,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp14 ),
    inference(csr,[status(thm)],[338807,2285]) ).

cnf(340018,negated_conjecture,
    ( hskp29
    | hskp14
    | hskp1
    | c1_1(a2408)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[228559,77326]) ).

cnf(340019,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp29
    | hskp1
    | ~ hskp5
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2098,340018,theory(equality)]) ).

cnf(340083,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp14
    | hskp1
    | ~ hskp27 ),
    inference(csr,[status(thm)],[340019,77326]) ).

cnf(340084,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp27 ),
    inference(csr,[status(thm)],[340083,331848]) ).

cnf(340094,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | hskp28
    | hskp9
    | hskp6 ),
    inference(spm,[status(thm)],[340084,219230,theory(equality)]) ).

cnf(340212,negated_conjecture,
    ( hskp28
    | hskp23
    | hskp14
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[340094,326502]) ).

cnf(340213,negated_conjecture,
    ( hskp28
    | hskp23
    | hskp14
    | hskp1 ),
    inference(csr,[status(thm)],[340212,307021]) ).

cnf(341852,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp28
    | ~ hskp14
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[176331,235918,theory(equality)]) ).

cnf(342030,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp14
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[341852,31822]) ).

cnf(342032,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp14
    | ~ hskp12
    | ~ hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[342030,4753,theory(equality)]) ).

cnf(342064,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp23
    | ~ hskp14
    | ~ hskp12 ),
    inference(csr,[status(thm)],[342032,31961]) ).

cnf(342065,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp23
    | ~ hskp14 ),
    inference(csr,[status(thm)],[342064,238786]) ).

cnf(342066,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp23 ),
    inference(csr,[status(thm)],[342065,334905]) ).

cnf(342311,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp14
    | ~ hskp10
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[236431,31822]) ).

cnf(342338,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp14
    | ~ hskp10
    | ~ hskp18 ),
    inference(spm,[status(thm)],[342311,320959,theory(equality)]) ).

cnf(342441,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[342338,2048]) ).

cnf(342444,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ hskp10
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[342441,25836,theory(equality)]) ).

cnf(342617,negated_conjecture,
    ( hskp20
    | ~ hskp23
    | ~ hskp14
    | ~ hskp0 ),
    inference(csr,[status(thm)],[342444,146520]) ).

cnf(342618,negated_conjecture,
    ( hskp20
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[342617,331319]) ).

cnf(342953,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp14
    | ~ hskp10
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[236489,97025]) ).

cnf(345184,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp3
    | ~ hskp23
    | ~ hskp2 ),
    inference(csr,[status(thm)],[240714,257133]) ).

cnf(345185,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp3
    | ~ hskp23 ),
    inference(csr,[status(thm)],[345184,241333]) ).

cnf(345201,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp16
    | ~ hskp13
    | ~ hskp23 ),
    inference(spm,[status(thm)],[27204,345185,theory(equality)]) ).

cnf(345215,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18
    | ~ hskp12
    | ~ hskp23 ),
    inference(spm,[status(thm)],[88075,345185,theory(equality)]) ).

cnf(345272,negated_conjecture,
    ( hskp19
    | ~ hskp23
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[345201,118797]) ).

cnf(345334,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp23
    | ~ hskp18 ),
    inference(csr,[status(thm)],[345215,241177]) ).

cnf(345933,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[240715,241333]) ).

cnf(345934,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[345933,338808]) ).

cnf(349771,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp14
    | hskp4
    | ~ hskp3
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[140992,253383,theory(equality)]) ).

cnf(349903,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp15
    | ~ hskp3
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[135888,253429,theory(equality)]) ).

cnf(353499,negated_conjecture,
    ( hskp19
    | hskp14
    | ~ hskp16
    | ~ hskp10
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[260983,227519]) ).

cnf(353500,negated_conjecture,
    ( hskp19
    | hskp14
    | ~ hskp16
    | ~ c1_1(a2425) ),
    inference(csr,[status(thm)],[353499,333505]) ).

cnf(353985,negated_conjecture,
    ( hskp19
    | hskp14
    | c1_1(a2425)
    | ~ hskp26
    | ~ hskp16 ),
    inference(csr,[status(thm)],[261184,227519]) ).

cnf(353986,negated_conjecture,
    ( hskp19
    | hskp14
    | ~ hskp26
    | ~ hskp16 ),
    inference(csr,[status(thm)],[353985,353500]) ).

cnf(354021,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp30
    | ~ hskp26 ),
    inference(spm,[status(thm)],[353986,307443,theory(equality)]) ).

cnf(354029,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp14 ),
    inference(csr,[status(thm)],[354021,12]) ).

cnf(354820,negated_conjecture,
    ( hskp2
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[32591,100]) ).

cnf(354821,negated_conjecture,
    ( hskp2
    | c2_1(a2432)
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[354820,241416]) ).

cnf(354879,negated_conjecture,
    ( hskp2
    | ~ hskp19
    | ~ c2_1(a2402)
    | ~ hskp10
    | ~ c2_1(a2414) ),
    inference(spm,[status(thm)],[221133,354821,theory(equality)]) ).

cnf(355131,negated_conjecture,
    ( hskp2
    | ~ hskp10
    | ~ c2_1(a2402)
    | ~ c2_1(a2414) ),
    inference(csr,[status(thm)],[354879,241416]) ).

cnf(355133,negated_conjecture,
    ( hskp2
    | ~ hskp10
    | ~ c2_1(a2402)
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[355131,68015,theory(equality)]) ).

cnf(355160,negated_conjecture,
    ( hskp2
    | ~ hskp30
    | ~ hskp17
    | ~ hskp10 ),
    inference(csr,[status(thm)],[355133,224426]) ).

cnf(355161,negated_conjecture,
    ( hskp2
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[355160,323320]) ).

cnf(355380,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp20
    | ~ hskp10
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[283863,227519]) ).

cnf(356064,negated_conjecture,
    ( hskp19
    | hskp3
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp10 ),
    inference(csr,[status(thm)],[304992,227519]) ).

cnf(356065,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp19
    | ~ hskp29
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2694,356064,theory(equality)]) ).

cnf(356113,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[356065,271147]) ).

cnf(356127,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp3
    | hskp14
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[356113,263965,theory(equality)]) ).

cnf(356184,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp14
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[356127,250068]) ).

cnf(360586,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp1
    | ~ hskp23
    | ~ hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[60450,250068]) ).

cnf(360614,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp18
    | ~ hskp12
    | ~ hskp23
    | ~ hskp21 ),
    inference(spm,[status(thm)],[88075,360586,theory(equality)]) ).

cnf(360653,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp23
    | ~ hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[360614,319737]) ).

cnf(362371,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33634,77326]) ).

cnf(362372,negated_conjecture,
    ( c2_1(a2408)
    | c1_1(a2408)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[362371,53746]) ).

cnf(362373,negated_conjecture,
    ( c1_1(a2408)
    | ~ hskp5
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[118,362372,theory(equality)]) ).

cnf(362480,negated_conjecture,
    ( c1_1(a2408)
    | hskp1
    | ~ hskp5
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[362373,34643,theory(equality)]) ).

cnf(362482,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | ~ hskp17
    | ~ hskp5 ),
    inference(csr,[status(thm)],[362480,34750]) ).

cnf(362483,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[362482,77326]) ).

cnf(362583,negated_conjecture,
    ( c2_1(a2417)
    | hskp1
    | c1_1(a2417)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33636,312293]) ).

cnf(362584,negated_conjecture,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[362583,53746]) ).

cnf(362596,negated_conjecture,
    ( hskp5
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[24180,362584,theory(equality)]) ).

cnf(362598,negated_conjecture,
    ( hskp29
    | c1_1(a2417)
    | ~ hskp12
    | ~ hskp0
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[25622,362584,theory(equality)]) ).

cnf(362747,negated_conjecture,
    ( hskp5
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[362596,59369]) ).

cnf(362748,negated_conjecture,
    ( hskp5
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[362747,90]) ).

cnf(362749,negated_conjecture,
    ( hskp5
    | hskp22
    | ~ hskp12
    | ~ hskp0 ),
    inference(spm,[status(thm)],[362748,8692,theory(equality)]) ).

cnf(362752,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[362749,59369]) ).

cnf(362772,negated_conjecture,
    ( hskp29
    | ~ hskp12
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[362598,90]) ).

cnf(362774,negated_conjecture,
    ( hskp29
    | hskp1
    | ~ hskp12
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[362772,34643,theory(equality)]) ).

cnf(362778,negated_conjecture,
    ( hskp29
    | hskp1
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[362774,166949]) ).

cnf(363472,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33654,42163]) ).

cnf(363473,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[363472,53746]) ).

cnf(363476,negated_conjecture,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[91,363473,theory(equality)]) ).

cnf(363478,negated_conjecture,
    ( c2_1(a2428)
    | c1_1(a2428)
    | ~ hskp18
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[68,363473,theory(equality)]) ).

cnf(363480,negated_conjecture,
    ( c2_1(a2435)
    | c1_1(a2435)
    | ~ hskp20
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[59,363473,theory(equality)]) ).

cnf(363481,negated_conjecture,
    ( c2_1(a2453)
    | c1_1(a2453)
    | ~ hskp22
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[52,363473,theory(equality)]) ).

cnf(363485,negated_conjecture,
    ( c2_1(a2500)
    | c1_1(a2500)
    | ~ hskp27
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[32,363473,theory(equality)]) ).

cnf(363857,negated_conjecture,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[363476,44666]) ).

cnf(363858,negated_conjecture,
    ( c2_1(a2417)
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[363857,90]) ).

cnf(363876,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[30049,363858,theory(equality)]) ).

cnf(363915,negated_conjecture,
    ( hskp2
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[221016,363858,theory(equality)]) ).

cnf(363935,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp12
    | ~ c1_1(a2435)
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[283595,363858,theory(equality)]) ).

cnf(363983,negated_conjecture,
    ( hskp2
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[363915,131356]) ).

cnf(364004,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp19
    | ~ hskp12
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[363876,34643,theory(equality)]) ).

cnf(364012,negated_conjecture,
    ( hskp4
    | hskp22
    | hskp5
    | ~ hskp20
    | ~ hskp12
    | ~ c1_1(a2435)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[363935,8692,theory(equality)]) ).

cnf(364044,negated_conjecture,
    ( c2_1(a2428)
    | ~ hskp18
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[363478,54553]) ).

cnf(364045,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[364044,67]) ).

cnf(364095,negated_conjecture,
    ( c2_1(a2435)
    | c1_1(a2435)
    | ~ hskp20
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[363480,45233]) ).

cnf(364096,negated_conjecture,
    ( c1_1(a2435)
    | ~ hskp20
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[364095,58]) ).

cnf(364097,negated_conjecture,
    ( c1_1(a2435)
    | hskp22
    | hskp5
    | ~ hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[364096,8692,theory(equality)]) ).

cnf(364100,negated_conjecture,
    ( hskp22
    | hskp5
    | c1_1(a2435)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[364097,45233]) ).

cnf(364101,negated_conjecture,
    ( hskp22
    | hskp5
    | c1_1(a2435) ),
    inference(csr,[status(thm)],[364100,107912]) ).

cnf(364339,negated_conjecture,
    ( c2_1(a2453)
    | ~ hskp22
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[363481,51]) ).

cnf(364340,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[364339,50]) ).

cnf(364432,negated_conjecture,
    ( c2_1(a2500)
    | ~ hskp27
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[363485,31]) ).

cnf(364494,negated_conjecture,
    ( hskp5
    | ~ hskp27
    | ~ c2_1(a2432)
    | ~ c2_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[273914,364432,theory(equality)]) ).

cnf(364767,negated_conjecture,
    ( hskp5
    | ~ hskp27
    | ~ c2_1(a2432)
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[364494,59369]) ).

cnf(364998,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp19
    | ~ hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[364004,35780]) ).

cnf(364999,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[364998,166949]) ).

cnf(365385,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[33853,77326]) ).

cnf(365387,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[365385,44666,theory(equality)]) ).

cnf(365390,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2408)
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[365385,363858,theory(equality)]) ).

cnf(365393,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | hskp0
    | ~ hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[118,365387,theory(equality)]) ).

cnf(365499,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[365393,77326]) ).

cnf(365566,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | ~ hskp5
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[118,365390,theory(equality)]) ).

cnf(365672,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[365566,77326]) ).

cnf(365675,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | c1_1(a2409)
    | ~ hskp12
    | ~ hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[365672,306016,theory(equality)]) ).

cnf(365681,negated_conjecture,
    ( c2_1(a2416)
    | hskp1
    | ~ hskp12
    | ~ hskp11
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[33854,95]) ).

cnf(365682,negated_conjecture,
    ( hskp1
    | ~ hskp12
    | ~ hskp11
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[365681,94]) ).

cnf(365684,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[365682,44666,theory(equality)]) ).

cnf(365743,negated_conjecture,
    ( hskp1
    | hskp0
    | hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[365684,311101,theory(equality)]) ).

cnf(365759,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[365743,76930]) ).

cnf(369343,negated_conjecture,
    ( c2_1(a2408)
    | hskp1
    | c1_1(a2455)
    | c1_1(a2408)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[34199,24480]) ).

cnf(369344,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | c1_1(a2455)
    | ~ hskp5
    | ~ hskp23 ),
    inference(spm,[status(thm)],[118,369343,theory(equality)]) ).

cnf(369458,negated_conjecture,
    ( c2_1(a2416)
    | hskp1
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp11 ),
    inference(csr,[status(thm)],[34200,95]) ).

cnf(369459,negated_conjecture,
    ( hskp1
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp11 ),
    inference(csr,[status(thm)],[369458,94]) ).

cnf(369461,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp1
    | ~ hskp23
    | ~ hskp11 ),
    inference(spm,[status(thm)],[3954,369459,theory(equality)]) ).

cnf(369520,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ hskp23
    | ~ hskp11 ),
    inference(spm,[status(thm)],[345934,369459,theory(equality)]) ).

cnf(369927,negated_conjecture,
    ( hskp1
    | c1_1(a2435)
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp20 ),
    inference(csr,[status(thm)],[34205,58]) ).

cnf(369962,negated_conjecture,
    ( hskp7
    | hskp1
    | c1_1(a2435)
    | ~ hskp23
    | ~ hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[201524,369927,theory(equality)]) ).

cnf(369973,negated_conjecture,
    ( hskp4
    | hskp1
    | c1_1(a2435)
    | ~ hskp23
    | ~ hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[284678,369927,theory(equality)]) ).

cnf(370082,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[369461,4479]) ).

cnf(370090,negated_conjecture,
    ( hskp1
    | hskp21
    | ~ hskp11
    | ~ hskp23 ),
    inference(spm,[status(thm)],[35131,370082,theory(equality)]) ).

cnf(370172,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[370090,4479]) ).

cnf(370352,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[369520,338808]) ).

cnf(370363,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[236848,370352,theory(equality)]) ).

cnf(371331,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[370363,27875]) ).

cnf(371332,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp6 ),
    inference(csr,[status(thm)],[371331,292930]) ).

cnf(371615,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[369344,24480]) ).

cnf(371655,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | hskp1
    | c1_1(a2408)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[241131,371615,theory(equality)]) ).

cnf(372119,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(a2408)
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[99,371655,theory(equality)]) ).

cnf(372168,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(a2408)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[372119,146520]) ).

cnf(372197,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp1
    | ~ hskp26
    | ~ hskp5
    | ~ hskp23 ),
    inference(spm,[status(thm)],[130624,372168,theory(equality)]) ).

cnf(374963,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp1
    | ~ hskp26
    | ~ hskp23 ),
    inference(csr,[status(thm)],[372197,97025]) ).

cnf(374964,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[374963,12]) ).

cnf(374965,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp23 ),
    inference(csr,[status(thm)],[374964,279497]) ).

cnf(375785,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[34792,136]) ).

cnf(375786,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[375785,135]) ).

cnf(375787,negated_conjecture,
    ( hskp23
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[375786,53746]) ).

cnf(375789,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2283,375787,theory(equality)]) ).

cnf(375797,negated_conjecture,
    ( hskp9
    | ~ hskp18
    | ~ hskp12
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[88079,375787,theory(equality)]) ).

cnf(375800,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp12
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[114244,375787,theory(equality)]) ).

cnf(375822,negated_conjecture,
    ( hskp12
    | ~ hskp8
    | ~ hskp6
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[285409,375787,theory(equality)]) ).

cnf(375824,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[290967,375787,theory(equality)]) ).

cnf(375829,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[342066,375787,theory(equality)]) ).

cnf(375830,negated_conjecture,
    ( hskp20
    | ~ hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[342618,375787,theory(equality)]) ).

cnf(375845,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[374965,375787,theory(equality)]) ).

cnf(375892,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[375789,312293]) ).

cnf(375893,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[7874,375892,theory(equality)]) ).

cnf(375908,negated_conjecture,
    ( hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[375893,93272]) ).

cnf(375996,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[375824,311289]) ).

cnf(375997,negated_conjecture,
    ( hskp30
    | hskp20 ),
    inference(csr,[status(thm)],[375996,267372]) ).

cnf(376038,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[375829,59217]) ).

cnf(376039,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp30
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17283,376038,theory(equality)]) ).

cnf(376040,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[35268,376038,theory(equality)]) ).

cnf(376057,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[284110,376038,theory(equality)]) ).

cnf(376071,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp1 ),
    inference(csr,[status(thm)],[375845,311289]) ).

cnf(376129,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | ~ hskp16
    | ~ c1_1(a2425)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[34798,75]) ).

cnf(376130,negated_conjecture,
    ( hskp23
    | ~ hskp16
    | ~ c1_1(a2425)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[376129,54023]) ).

cnf(376132,negated_conjecture,
    ( hskp23
    | hskp19
    | ~ hskp16
    | ~ hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[376130,27133,theory(equality)]) ).

cnf(376133,negated_conjecture,
    ( hskp23
    | hskp10
    | ~ hskp16
    | ~ hskp0 ),
    inference(spm,[status(thm)],[376130,37593,theory(equality)]) ).

cnf(376152,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | ~ hskp18
    | ~ c1_1(a2428)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[34799,67]) ).

cnf(376153,negated_conjecture,
    ( hskp23
    | ~ hskp18
    | ~ c1_1(a2428)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[376152,364045]) ).

cnf(376154,negated_conjecture,
    ( hskp23
    | hskp28
    | hskp3
    | ~ hskp18
    | ~ hskp0 ),
    inference(spm,[status(thm)],[376153,11802,theory(equality)]) ).

cnf(376174,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[34800,44]) ).

cnf(376175,negated_conjecture,
    ( hskp23
    | c2_1(a2468)
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[376174,54639]) ).

cnf(376176,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp23
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2322,376175,theory(equality)]) ).

cnf(376322,negated_conjecture,
    ( hskp23
    | c2_1(a2402)
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp0 ),
    inference(csr,[status(thm)],[34802,35]) ).

cnf(376323,negated_conjecture,
    ( hskp23
    | c2_1(a2484)
    | ~ hskp26
    | ~ hskp0 ),
    inference(csr,[status(thm)],[376322,54806]) ).

cnf(376342,negated_conjecture,
    ( hskp2
    | hskp23
    | ~ hskp26
    | ~ hskp0 ),
    inference(spm,[status(thm)],[34429,376323,theory(equality)]) ).

cnf(376369,negated_conjecture,
    ( hskp15
    | hskp23
    | ~ hskp26
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[157166,376323,theory(equality)]) ).

cnf(376469,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp30 ),
    inference(csr,[status(thm)],[376039,248801]) ).

cnf(376471,negated_conjecture,
    ( hskp10
    | hskp0
    | hskp9
    | ~ hskp30 ),
    inference(spm,[status(thm)],[51685,376469,theory(equality)]) ).

cnf(376484,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[376040,248801]) ).

cnf(376744,negated_conjecture,
    ( hskp23
    | hskp14
    | c2_1(a2402)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[34809,326141]) ).

cnf(376745,negated_conjecture,
    ( hskp23
    | hskp14
    | c2_1(a2402)
    | ~ c1_1(a2402)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[376744,140,theory(equality)]) ).

cnf(376951,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[376057,248801]) ).

cnf(376993,negated_conjecture,
    ( hskp23
    | hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[376133,166935]) ).

cnf(376994,negated_conjecture,
    ( hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[376993,146520]) ).

cnf(376998,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[241416,376994,theory(equality)]) ).

cnf(377000,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[247821,376994,theory(equality)]) ).

cnf(377028,negated_conjecture,
    ( hskp19
    | hskp2 ),
    inference(csr,[status(thm)],[376998,129320]) ).

cnf(377029,negated_conjecture,
    ( hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[377000,59217]) ).

cnf(377111,negated_conjecture,
    ( hskp23
    | hskp2
    | ~ hskp26 ),
    inference(csr,[status(thm)],[376342,129320]) ).

cnf(377116,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp26 ),
    inference(spm,[status(thm)],[31961,377111,theory(equality)]) ).

cnf(377202,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp19
    | hskp6 ),
    inference(spm,[status(thm)],[377116,371332,theory(equality)]) ).

cnf(377939,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp2 ),
    inference(csr,[status(thm)],[377202,377028]) ).

cnf(377940,negated_conjecture,
    ( hskp20
    | hskp2 ),
    inference(csr,[status(thm)],[377939,31822]) ).

cnf(378701,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[376471,311289]) ).

cnf(378702,negated_conjecture,
    ( hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[378701,376994]) ).

cnf(380960,negated_conjecture,
    ( hskp9
    | ~ hskp18
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[375797,59217]) ).

cnf(380961,negated_conjecture,
    ( hskp9
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[380960,377029]) ).

cnf(380971,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[380961,96098,theory(equality)]) ).

cnf(380988,negated_conjecture,
    ( hskp9
    | hskp21
    | ~ hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[380961,248664,theory(equality)]) ).

cnf(380990,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[380961,249679,theory(equality)]) ).

cnf(380992,negated_conjecture,
    ( hskp9
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[380961,261970,theory(equality)]) ).

cnf(381018,negated_conjecture,
    ( hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[380971,131356]) ).

cnf(381121,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp12
    | hskp6
    | c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[34869,15572]) ).

cnf(381122,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp12
    | hskp6
    | c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[381121,15572]) ).

cnf(381123,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp12
    | hskp6
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[381122,15572]) ).

cnf(381124,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp12
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[381123,15572]) ).

cnf(381125,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp12
    | hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[381124,15572]) ).

cnf(381126,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[381125,15572]) ).

cnf(381127,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[381126,41155]) ).

cnf(381153,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp14
    | hskp1
    | ~ c1_1(a2404)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[381127,12152,theory(equality)]) ).

cnf(381503,negated_conjecture,
    ( hskp21
    | hskp9
    | ~ hskp12 ),
    inference(csr,[status(thm)],[380988,378702]) ).

cnf(381504,negated_conjecture,
    ( hskp21
    | hskp9 ),
    inference(csr,[status(thm)],[381503,376484]) ).

cnf(381521,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[380990,245013]) ).

cnf(381522,negated_conjecture,
    ( hskp20
    | hskp3 ),
    inference(csr,[status(thm)],[381521,280213]) ).

cnf(382370,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[375800,311289]) ).

cnf(382371,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp12 ),
    inference(csr,[status(thm)],[382370,377029]) ).

cnf(382429,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[382371,375892,theory(equality)]) ).

cnf(383632,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp9 ),
    inference(csr,[status(thm)],[382429,311289]) ).

cnf(383633,negated_conjecture,
    ( hskp30
    | hskp11 ),
    inference(csr,[status(thm)],[383632,316288]) ).

cnf(385753,negated_conjecture,
    ( hskp12
    | ~ hskp8
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[375822,63461]) ).

cnf(385757,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp6
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[385753,141811,theory(equality)]) ).

cnf(385760,negated_conjecture,
    ( hskp12
    | hskp20
    | hskp9
    | ~ hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[385753,260994,theory(equality)]) ).

cnf(386075,negated_conjecture,
    ( hskp23
    | hskp19
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[376132,286962]) ).

cnf(386076,negated_conjecture,
    ( hskp19
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[386075,345272]) ).

cnf(386080,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp16
    | ~ hskp18 ),
    inference(spm,[status(thm)],[386076,12826,theory(equality)]) ).

cnf(386087,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp16
    | ~ hskp30
    | ~ hskp8
    | ~ hskp2 ),
    inference(spm,[status(thm)],[386076,95342,theory(equality)]) ).

cnf(386115,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp10
    | ~ hskp18 ),
    inference(spm,[status(thm)],[386080,166935,theory(equality)]) ).

cnf(386135,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[386115,26665]) ).

cnf(386157,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[386135,264238,theory(equality)]) ).

cnf(386163,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp10
    | ~ hskp12 ),
    inference(spm,[status(thm)],[386135,294068,theory(equality)]) ).

cnf(386388,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp0 ),
    inference(csr,[status(thm)],[386157,375830]) ).

cnf(386389,negated_conjecture,
    ( hskp20
    | ~ hskp0 ),
    inference(csr,[status(thm)],[386388,31822]) ).

cnf(386422,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp12 ),
    inference(csr,[status(thm)],[386163,183954]) ).

cnf(386501,negated_conjecture,
    ( hskp23
    | hskp21
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[35055,48730]) ).

cnf(386508,negated_conjecture,
    ( hskp23
    | hskp21
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,386501,theory(equality)]) ).

cnf(387895,negated_conjecture,
    ( hskp28
    | hskp23
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[376154,250068]) ).

cnf(387921,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[88075,387895,theory(equality)]) ).

cnf(387950,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp3
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4479,387921,theory(equality)]) ).

cnf(387976,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[345334,387921,theory(equality)]) ).

cnf(387978,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp21
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[360653,387921,theory(equality)]) ).

cnf(388062,negated_conjecture,
    ( hskp19
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[387976,245028]) ).

cnf(389708,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[376176,61047]) ).

cnf(389709,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[389708,2283]) ).

cnf(389749,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp19
    | hskp14
    | hskp3
    | hskp1 ),
    inference(spm,[status(thm)],[389709,356184,theory(equality)]) ).

cnf(390273,negated_conjecture,
    ( hskp23
    | hskp15
    | ~ hskp26
    | ~ hskp8 ),
    inference(csr,[status(thm)],[376369,158666]) ).

cnf(390274,negated_conjecture,
    ( hskp15
    | ~ hskp26
    | ~ hskp8 ),
    inference(csr,[status(thm)],[390273,1729]) ).

cnf(390276,negated_conjecture,
    ( hskp15
    | hskp30
    | hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[390274,12,theory(equality)]) ).

cnf(390284,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[390276,14432]) ).

cnf(390473,negated_conjecture,
    ( hskp23
    | c2_1(a2417)
    | c2_1(a2403)
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[35175,136]) ).

cnf(390474,negated_conjecture,
    ( hskp23
    | c2_1(a2417)
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[390473,135]) ).

cnf(390478,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp23
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[4360,390474,theory(equality)]) ).

cnf(390479,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp23
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[4661,390474,theory(equality)]) ).

cnf(390506,negated_conjecture,
    ( hskp10
    | hskp23
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[51671,390474,theory(equality)]) ).

cnf(390656,negated_conjecture,
    ( hskp23
    | hskp10
    | ~ hskp12 ),
    inference(csr,[status(thm)],[390506,386422]) ).

cnf(390657,negated_conjecture,
    ( hskp10
    | ~ hskp12 ),
    inference(csr,[status(thm)],[390656,146520]) ).

cnf(394583,negated_conjecture,
    ( hskp23
    | c2_1(a2403)
    | c1_1(a2435)
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[35432,136]) ).

cnf(394584,negated_conjecture,
    ( hskp23
    | c1_1(a2435)
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[394583,135]) ).

cnf(394609,negated_conjecture,
    ( hskp23
    | ~ hskp20
    | ~ hskp6
    | ~ hskp4
    | ~ hskp1 ),
    inference(spm,[status(thm)],[71848,394584,theory(equality)]) ).

cnf(394612,negated_conjecture,
    ( hskp30
    | hskp23
    | ~ hskp26
    | ~ hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[141773,394584,theory(equality)]) ).

cnf(394640,negated_conjecture,
    ( hskp4
    | hskp23
    | ~ hskp20
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[283466,394584,theory(equality)]) ).

cnf(394694,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[385757,166975]) ).

cnf(394695,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp20 ),
    inference(csr,[status(thm)],[394694,375908]) ).

cnf(394697,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp19 ),
    inference(spm,[status(thm)],[394695,31822,theory(equality)]) ).

cnf(394702,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp9
    | hskp6 ),
    inference(spm,[status(thm)],[394695,89896,theory(equality)]) ).

cnf(394780,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp9 ),
    inference(csr,[status(thm)],[394702,376951]) ).

cnf(394923,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[385760,377029]) ).

cnf(394924,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[394923,89896]) ).

cnf(394925,negated_conjecture,
    ( hskp20
    | hskp9 ),
    inference(csr,[status(thm)],[394924,380992]) ).

cnf(395801,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[387950,245016]) ).

cnf(395802,negated_conjecture,
    ( hskp21
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[395801,299227]) ).

cnf(396220,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[387978,312181]) ).

cnf(396221,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[396220,395802]) ).

cnf(396746,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[390478,4479]) ).

cnf(396829,negated_conjecture,
    ( hskp28
    | hskp23
    | hskp9
    | ~ hskp12 ),
    inference(csr,[status(thm)],[390479,377029]) ).

cnf(396830,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp12 ),
    inference(csr,[status(thm)],[396829,4753]) ).

cnf(396832,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2448,396830,theory(equality)]) ).

cnf(396835,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp3
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[6397,396830,theory(equality)]) ).

cnf(396846,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[53580,396830,theory(equality)]) ).

cnf(396853,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp17
    | ~ hskp12 ),
    inference(spm,[status(thm)],[87888,396830,theory(equality)]) ).

cnf(396895,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp9 ),
    inference(csr,[status(thm)],[396832,394780]) ).

cnf(396896,negated_conjecture,
    ( hskp15
    | hskp9 ),
    inference(csr,[status(thm)],[396895,336439]) ).

cnf(396923,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[396846,396896]) ).

cnf(396924,negated_conjecture,
    ( hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[396923,61010]) ).

cnf(396931,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[396853,166949]) ).

cnf(397476,negated_conjecture,
    ( hskp23
    | hskp0
    | ~ hskp20
    | ~ hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[394609,283495,theory(equality)]) ).

cnf(397506,negated_conjecture,
    ( hskp30
    | hskp23
    | ~ hskp26
    | ~ hskp1 ),
    inference(csr,[status(thm)],[394612,375997]) ).

cnf(397507,negated_conjecture,
    ( hskp15
    | hskp30
    | ~ hskp26
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1729,397506,theory(equality)]) ).

cnf(397570,negated_conjecture,
    ( hskp30
    | ~ hskp26
    | ~ hskp1 ),
    inference(csr,[status(thm)],[397507,14430]) ).

cnf(397633,negated_conjecture,
    ( hskp23
    | ~ hskp20
    | ~ hskp6
    | ~ hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[394609,394640,theory(equality)]) ).

cnf(398102,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[396835,396896]) ).

cnf(398103,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp3 ),
    inference(csr,[status(thm)],[398102,225362]) ).

cnf(398873,negated_conjecture,
    ( hskp23
    | hskp0
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[397476,283500]) ).

cnf(398874,negated_conjecture,
    ( hskp23
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[398873,266906]) ).

cnf(398897,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[319737,398874,theory(equality)]) ).

cnf(398985,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[398897,312293]) ).

cnf(399480,negated_conjecture,
    ( hskp23
    | ~ hskp20
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[397633,310404]) ).

cnf(399481,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1729,399480,theory(equality)]) ).

cnf(399516,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[399481,396896]) ).

cnf(399518,negated_conjecture,
    ( hskp15
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[399516,31822,theory(equality)]) ).

cnf(399529,negated_conjecture,
    ( hskp15
    | ~ hskp19 ),
    inference(csr,[status(thm)],[399518,77825]) ).

cnf(401634,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp12
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[389749,245028]) ).

cnf(401635,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[401634,324107]) ).

cnf(401636,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[401635,394697]) ).

cnf(402993,negated_conjecture,
    ( hskp23
    | hskp14
    | c2_1(a2402)
    | ~ c1_1(a2402) ),
    inference(csr,[status(thm)],[376745,326141]) ).

cnf(403022,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp1
    | ~ hskp0
    | ~ c1_1(a2402) ),
    inference(spm,[status(thm)],[53746,402993,theory(equality)]) ).

cnf(403144,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[403022,375787]) ).

cnf(403145,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[403144,326141]) ).

cnf(403146,negated_conjecture,
    ( hskp15
    | hskp14
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1729,403145,theory(equality)]) ).

cnf(403181,negated_conjecture,
    ( hskp15
    | hskp14 ),
    inference(csr,[status(thm)],[403146,327655]) ).

cnf(405017,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp30
    | ~ hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[386087,377028]) ).

cnf(405018,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[405017,390284]) ).

cnf(405020,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp8
    | ~ hskp10 ),
    inference(spm,[status(thm)],[405018,26658,theory(equality)]) ).

cnf(405034,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[405018,166935,theory(equality)]) ).

cnf(405062,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[405034,405020]) ).

cnf(409874,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp23
    | ~ hskp20
    | ~ hskp3 ),
    inference(csr,[status(thm)],[369962,197367]) ).

cnf(410249,negated_conjecture,
    ( hskp4
    | hskp1
    | c1_1(a2435)
    | ~ hskp23
    | ~ hskp20 ),
    inference(csr,[status(thm)],[369973,377029]) ).

cnf(410305,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp20
    | ~ hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[283466,410249,theory(equality)]) ).

cnf(410331,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp23
    | ~ hskp20 ),
    inference(csr,[status(thm)],[410305,377029]) ).

cnf(410332,negated_conjecture,
    ( hskp1
    | ~ hskp8
    | ~ hskp6
    | ~ hskp23
    | ~ hskp20 ),
    inference(spm,[status(thm)],[71114,410331,theory(equality)]) ).

cnf(410389,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp20
    | ~ hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[410332,398874,theory(equality)]) ).

cnf(410408,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp20
    | ~ hskp8 ),
    inference(csr,[status(thm)],[410389,365759]) ).

cnf(410409,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[410408,321155]) ).

cnf(410410,negated_conjecture,
    ( hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[410409,63461]) ).

cnf(412846,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp1
    | ~ c1_1(a2404) ),
    inference(csr,[status(thm)],[381153,236209]) ).

cnf(412847,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[412846,236209]) ).

cnf(412848,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp6 ),
    inference(csr,[status(thm)],[412847,403145]) ).

cnf(412849,negated_conjecture,
    ( hskp23
    | hskp6 ),
    inference(csr,[status(thm)],[412848,2646]) ).

cnf(415138,negated_conjecture,
    ( c2_1(a2404)
    | hskp1
    | c1_1(a2404)
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[67894,355161]) ).

cnf(415139,negated_conjecture,
    ( hskp1
    | c1_1(a2404)
    | ~ hskp2
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[131,415138,theory(equality)]) ).

cnf(415241,negated_conjecture,
    ( hskp1
    | c1_1(a2404)
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[415139,355161]) ).

cnf(415242,negated_conjecture,
    ( hskp1
    | ~ hskp2
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[132,415241,theory(equality)]) ).

cnf(415297,negated_conjecture,
    ( hskp1
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[415242,355161]) ).

cnf(415302,negated_conjecture,
    ( hskp1
    | hskp18
    | hskp0
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[415297,45237,theory(equality)]) ).

cnf(415309,negated_conjecture,
    ( hskp18
    | hskp1
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[415302,311289]) ).

cnf(415310,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[415309,63476]) ).

cnf(415312,negated_conjecture,
    ( hskp0
    | ~ hskp12
    | ~ hskp20 ),
    inference(spm,[status(thm)],[66642,415310,theory(equality)]) ).

cnf(415344,negated_conjecture,
    ( hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[415312,311094]) ).

cnf(415346,negated_conjecture,
    ( hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[415344,31822,theory(equality)]) ).

cnf(415349,negated_conjecture,
    ( hskp0
    | hskp25 ),
    inference(spm,[status(thm)],[415344,86327,theory(equality)]) ).

cnf(417891,negated_conjecture,
    ( hskp19
    | hskp16
    | c1_1(a2414)
    | ~ hskp24
    | ~ hskp10 ),
    inference(csr,[status(thm)],[83582,100]) ).

cnf(417892,negated_conjecture,
    ( hskp19
    | hskp16
    | c1_1(a2414)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[417891,166935]) ).

cnf(417893,negated_conjecture,
    ( hskp19
    | hskp16
    | ~ hskp10
    | ~ hskp24 ),
    inference(spm,[status(thm)],[99,417892,theory(equality)]) ).

cnf(417943,negated_conjecture,
    ( hskp19
    | hskp16
    | ~ hskp24 ),
    inference(csr,[status(thm)],[417893,166935]) ).

cnf(417948,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp20
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[417943,176536,theory(equality)]) ).

cnf(418241,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[417948,377940]) ).

cnf(418242,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp13 ),
    inference(csr,[status(thm)],[418241,386076]) ).

cnf(418243,negated_conjecture,
    ( hskp20
    | ~ hskp13 ),
    inference(csr,[status(thm)],[418242,31822]) ).

cnf(418250,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp30
    | ~ hskp8
    | ~ hskp2 ),
    inference(spm,[status(thm)],[418243,95342,theory(equality)]) ).

cnf(418676,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp30
    | ~ hskp8 ),
    inference(csr,[status(thm)],[418250,377940]) ).

cnf(418677,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[418676,375997]) ).

cnf(420522,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | ~ hskp14
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[128427,83]) ).

cnf(420523,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp11
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[420522,326213]) ).

cnf(420524,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ c0_1(a2420) ),
    inference(csr,[status(thm)],[420523,394695]) ).

cnf(420525,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ c2_1(a2420)
    | ~ c1_1(a2420) ),
    inference(spm,[status(thm)],[420524,1581,theory(equality)]) ).

cnf(420620,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp19
    | ~ hskp14
    | ~ hskp10 ),
    inference(spm,[status(thm)],[420524,236391,theory(equality)]) ).

cnf(420666,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ c1_1(a2420)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[420525,83,theory(equality)]) ).

cnf(420672,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[420620,324107]) ).

cnf(420673,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[420672,394697]) ).

cnf(420690,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[396746,420673,theory(equality)]) ).

cnf(420778,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ c1_1(a2420) ),
    inference(csr,[status(thm)],[420666,401636]) ).

cnf(420779,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp14 ),
    inference(spm,[status(thm)],[420778,84,theory(equality)]) ).

cnf(420782,negated_conjecture,
    ( hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[420779,401636]) ).

cnf(420783,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp0 ),
    inference(spm,[status(thm)],[44670,420782,theory(equality)]) ).

cnf(420792,negated_conjecture,
    ( hskp10
    | hskp11 ),
    inference(spm,[status(thm)],[390657,420782,theory(equality)]) ).

cnf(420800,negated_conjecture,
    hskp10,
    inference(csr,[status(thm)],[420792,60105]) ).

cnf(420801,negated_conjecture,
    ( hskp21
    | hskp11
    | $false
    | ~ hskp1 ),
    inference(rw,[status(thm)],[420690,420800,theory(equality)]) ).

cnf(420802,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp1 ),
    inference(cn,[status(thm)],[420801,theory(equality)]) ).

cnf(420823,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp20
    | $false
    | ~ c1_1(a2435) ),
    inference(rw,[status(thm)],[355380,420800,theory(equality)]) ).

cnf(420824,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp20
    | ~ c1_1(a2435) ),
    inference(cn,[status(thm)],[420823,theory(equality)]) ).

cnf(420839,negated_conjecture,
    ( hskp19
    | hskp7
    | c0_1(a2422)
    | ~ hskp15
    | ~ hskp14
    | $false ),
    inference(rw,[status(thm)],[236532,420800,theory(equality)]) ).

cnf(420840,negated_conjecture,
    ( hskp19
    | hskp7
    | c0_1(a2422)
    | ~ hskp15
    | ~ hskp14 ),
    inference(cn,[status(thm)],[420839,theory(equality)]) ).

cnf(420843,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp14
    | $false
    | ~ c1_1(a2408) ),
    inference(rw,[status(thm)],[342953,420800,theory(equality)]) ).

cnf(420844,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp14
    | ~ c1_1(a2408) ),
    inference(cn,[status(thm)],[420843,theory(equality)]) ).

cnf(420849,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp3
    | $false ),
    inference(rw,[status(thm)],[335016,420800,theory(equality)]) ).

cnf(420850,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp3 ),
    inference(cn,[status(thm)],[420849,theory(equality)]) ).

cnf(420880,negated_conjecture,
    ( hskp19
    | c0_1(a2406)
    | ~ hskp28
    | $false ),
    inference(rw,[status(thm)],[249416,420800,theory(equality)]) ).

cnf(420881,negated_conjecture,
    ( hskp19
    | c0_1(a2406)
    | ~ hskp28 ),
    inference(cn,[status(thm)],[420880,theory(equality)]) ).

cnf(420882,negated_conjecture,
    ( hskp29
    | hskp19
    | $false
    | ~ hskp0 ),
    inference(rw,[status(thm)],[246291,420800,theory(equality)]) ).

cnf(420883,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp0 ),
    inference(cn,[status(thm)],[420882,theory(equality)]) ).

cnf(420886,negated_conjecture,
    ( hskp19
    | $false
    | ~ c1_1(a2478) ),
    inference(rw,[status(thm)],[244968,420800,theory(equality)]) ).

cnf(420887,negated_conjecture,
    ( hskp19
    | ~ c1_1(a2478) ),
    inference(cn,[status(thm)],[420886,theory(equality)]) ).

cnf(420892,negated_conjecture,
    ( hskp19
    | c0_1(a2420)
    | ~ hskp14
    | $false ),
    inference(rw,[status(thm)],[236391,420800,theory(equality)]) ).

cnf(420893,negated_conjecture,
    ( hskp19
    | c0_1(a2420)
    | ~ hskp14 ),
    inference(cn,[status(thm)],[420892,theory(equality)]) ).

cnf(420904,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | $false
    | ~ c2_1(a2414)
    | ~ c1_1(a2435) ),
    inference(rw,[status(thm)],[197470,420800,theory(equality)]) ).

cnf(420905,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | ~ c2_1(a2414)
    | ~ c1_1(a2435) ),
    inference(cn,[status(thm)],[420904,theory(equality)]) ).

cnf(420955,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | $false
    | ~ c2_1(a2414)
    | ~ c1_1(a2409) ),
    inference(rw,[status(thm)],[99211,420800,theory(equality)]) ).

cnf(420956,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ c2_1(a2414)
    | ~ c1_1(a2409) ),
    inference(cn,[status(thm)],[420955,theory(equality)]) ).

cnf(420957,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | $false
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[96425,420800,theory(equality)]) ).

cnf(420958,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[420957,theory(equality)]) ).

cnf(420967,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(X1)
    | c0_1(X1)
    | $false
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[71360,420800,theory(equality)]) ).

cnf(420968,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[420967,theory(equality)]) ).

cnf(420976,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp30
    | ~ hskp17
    | $false ),
    inference(rw,[status(thm)],[68015,420800,theory(equality)]) ).

cnf(420977,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp30
    | ~ hskp17 ),
    inference(cn,[status(thm)],[420976,theory(equality)]) ).

cnf(420981,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | $false
    | ~ c2_1(a2414)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[56626,420800,theory(equality)]) ).

cnf(420982,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2414)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[420981,theory(equality)]) ).

cnf(420999,negated_conjecture,
    ( hskp3
    | $false
    | ~ c2_1(a2414) ),
    inference(rw,[status(thm)],[27993,420800,theory(equality)]) ).

cnf(421000,negated_conjecture,
    ( hskp3
    | ~ c2_1(a2414) ),
    inference(cn,[status(thm)],[420999,theory(equality)]) ).

cnf(421001,negated_conjecture,
    ( hskp19
    | ~ hskp13
    | $false ),
    inference(rw,[status(thm)],[26657,420800,theory(equality)]) ).

cnf(421002,negated_conjecture,
    ( hskp19
    | ~ hskp13 ),
    inference(cn,[status(thm)],[421001,theory(equality)]) ).

cnf(421032,negated_conjecture,
    ( $false
    | ~ c1_1(a2414) ),
    inference(rw,[status(thm)],[99,420800,theory(equality)]) ).

cnf(421033,negated_conjecture,
    ~ c1_1(a2414),
    inference(cn,[status(thm)],[421032,theory(equality)]) ).

cnf(421034,negated_conjecture,
    ( $false
    | ~ c3_1(a2414) ),
    inference(rw,[status(thm)],[98,420800,theory(equality)]) ).

cnf(421035,negated_conjecture,
    ~ c3_1(a2414),
    inference(cn,[status(thm)],[421034,theory(equality)]) ).

cnf(421036,negated_conjecture,
    ( c0_1(a2414)
    | $false ),
    inference(rw,[status(thm)],[100,420800,theory(equality)]) ).

cnf(421037,negated_conjecture,
    c0_1(a2414),
    inference(cn,[status(thm)],[421036,theory(equality)]) ).

cnf(421180,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2414)
    | ~ hskp13
    | ~ c2_1(a2414) ),
    inference(spm,[status(thm)],[232671,421037,theory(equality)]) ).

cnf(421215,negated_conjecture,
    ( hskp21
    | hskp11
    | c1_1(a2414)
    | ~ c2_1(a2414)
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[245580,421037,theory(equality)]) ).

cnf(421363,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp23
    | ~ c1_1(a2455)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,20446,theory(equality)]) ).

cnf(421407,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp17
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,61161,theory(equality)]) ).

cnf(421411,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2422)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,62196,theory(equality)]) ).

cnf(421413,negated_conjecture,
    ( c2_1(a2414)
    | c1_1(a2455)
    | ~ hskp23
    | ~ c0_1(a2422)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,62643,theory(equality)]) ).

cnf(421417,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp28
    | ~ hskp17
    | ~ c0_1(a2406)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,63757,theory(equality)]) ).

cnf(421420,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp29
    | ~ c2_1(a2402)
    | ~ c1_1(a2409)
    | ~ c0_1(a2414)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[421035,64563,theory(equality)]) ).

cnf(421422,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,64999,theory(equality)]) ).

cnf(421425,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp30
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,66975,theory(equality)]) ).

cnf(421429,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | c1_1(a2414)
    | ~ hskp24
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,81784,theory(equality)]) ).

cnf(421454,negated_conjecture,
    ( c2_1(a2414)
    | c1_1(a2455)
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[421035,89443,theory(equality)]) ).

cnf(421460,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2414)
    | hskp0
    | ~ hskp24
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,127851,theory(equality)]) ).

cnf(421464,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(a2414)
    | ~ hskp24
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,152814,theory(equality)]) ).

cnf(421467,negated_conjecture,
    ( hskp15
    | c1_1(a2414)
    | ~ hskp28
    | ~ hskp24
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,196990,theory(equality)]) ).

cnf(421521,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp23
    | ~ c1_1(a2455)
    | $false ),
    inference(rw,[status(thm)],[421363,421037,theory(equality)]) ).

cnf(421522,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(cn,[status(thm)],[421521,theory(equality)]) ).

cnf(421523,negated_conjecture,
    ( hskp19
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(sr,[status(thm)],[421522,421033,theory(equality)]) ).

cnf(421564,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp17
    | ~ hskp5
    | ~ c1_1(a2408)
    | $false ),
    inference(rw,[status(thm)],[421407,421037,theory(equality)]) ).

cnf(421565,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp17
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(cn,[status(thm)],[421564,theory(equality)]) ).

cnf(421572,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2422)
    | $false ),
    inference(rw,[status(thm)],[421411,421037,theory(equality)]) ).

cnf(421573,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ c0_1(a2422) ),
    inference(cn,[status(thm)],[421572,theory(equality)]) ).

cnf(421576,negated_conjecture,
    ( c2_1(a2414)
    | c1_1(a2455)
    | ~ hskp23
    | ~ c0_1(a2422)
    | $false ),
    inference(rw,[status(thm)],[421413,421037,theory(equality)]) ).

cnf(421577,negated_conjecture,
    ( c2_1(a2414)
    | c1_1(a2455)
    | ~ hskp23
    | ~ c0_1(a2422) ),
    inference(cn,[status(thm)],[421576,theory(equality)]) ).

cnf(421584,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp28
    | ~ hskp17
    | ~ c0_1(a2406)
    | $false ),
    inference(rw,[status(thm)],[421417,421037,theory(equality)]) ).

cnf(421585,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp28
    | ~ hskp17
    | ~ c0_1(a2406) ),
    inference(cn,[status(thm)],[421584,theory(equality)]) ).

cnf(421590,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp29
    | ~ c2_1(a2402)
    | ~ c1_1(a2409)
    | $false
    | ~ hskp0 ),
    inference(rw,[status(thm)],[421420,421037,theory(equality)]) ).

cnf(421591,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp29
    | ~ c2_1(a2402)
    | ~ c1_1(a2409)
    | ~ hskp0 ),
    inference(cn,[status(thm)],[421590,theory(equality)]) ).

cnf(421594,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409)
    | $false ),
    inference(rw,[status(thm)],[421422,421037,theory(equality)]) ).

cnf(421595,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409) ),
    inference(cn,[status(thm)],[421594,theory(equality)]) ).

cnf(421599,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp30
    | ~ hskp12
    | ~ c2_1(a2417)
    | $false ),
    inference(rw,[status(thm)],[421425,421037,theory(equality)]) ).

cnf(421600,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp30
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(cn,[status(thm)],[421599,theory(equality)]) ).

cnf(421607,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | c1_1(a2414)
    | ~ hskp24
    | $false ),
    inference(rw,[status(thm)],[421429,421037,theory(equality)]) ).

cnf(421608,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | c1_1(a2414)
    | ~ hskp24 ),
    inference(cn,[status(thm)],[421607,theory(equality)]) ).

cnf(421609,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | ~ hskp24 ),
    inference(sr,[status(thm)],[421608,421033,theory(equality)]) ).

cnf(421636,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2414)
    | hskp0
    | ~ hskp24
    | $false ),
    inference(rw,[status(thm)],[421460,421037,theory(equality)]) ).

cnf(421637,negated_conjecture,
    ( hskp29
    | hskp19
    | c1_1(a2414)
    | hskp0
    | ~ hskp24 ),
    inference(cn,[status(thm)],[421636,theory(equality)]) ).

cnf(421638,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp0
    | ~ hskp24 ),
    inference(sr,[status(thm)],[421637,421033,theory(equality)]) ).

cnf(421644,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(a2414)
    | ~ hskp24
    | $false ),
    inference(rw,[status(thm)],[421464,421037,theory(equality)]) ).

cnf(421645,negated_conjecture,
    ( hskp19
    | hskp1
    | c1_1(a2414)
    | ~ hskp24 ),
    inference(cn,[status(thm)],[421644,theory(equality)]) ).

cnf(421646,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp24 ),
    inference(sr,[status(thm)],[421645,421033,theory(equality)]) ).

cnf(421652,negated_conjecture,
    ( hskp15
    | c1_1(a2414)
    | ~ hskp28
    | ~ hskp24
    | $false ),
    inference(rw,[status(thm)],[421467,421037,theory(equality)]) ).

cnf(421653,negated_conjecture,
    ( hskp15
    | c1_1(a2414)
    | ~ hskp28
    | ~ hskp24 ),
    inference(cn,[status(thm)],[421652,theory(equality)]) ).

cnf(421654,negated_conjecture,
    ( hskp15
    | ~ hskp28
    | ~ hskp24 ),
    inference(sr,[status(thm)],[421653,421033,theory(equality)]) ).

cnf(422397,negated_conjecture,
    ( hskp15
    | hskp3
    | ~ hskp24
    | ~ hskp9 ),
    inference(spm,[status(thm)],[421654,225356,theory(equality)]) ).

cnf(423590,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ c1_1(a2408) ),
    inference(csr,[status(thm)],[420844,354029]) ).

cnf(423607,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[423590,362483,theory(equality)]) ).

cnf(425259,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17
    | hskp3 ),
    inference(spm,[status(thm)],[421609,420850,theory(equality)]) ).

cnf(425261,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp6
    | ~ c1_1(a2412) ),
    inference(spm,[status(thm)],[107,420968,theory(equality)]) ).

cnf(425266,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp6
    | ~ c1_1(a2432) ),
    inference(spm,[status(thm)],[62,420968,theory(equality)]) ).

cnf(425267,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(a2435)
    | ~ hskp20
    | ~ hskp6
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[59,420968,theory(equality)]) ).

cnf(425803,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp3 ),
    inference(csr,[status(thm)],[425259,274357]) ).

cnf(425804,negated_conjecture,
    ( hskp19
    | hskp3 ),
    inference(csr,[status(thm)],[425803,388062]) ).

cnf(425817,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp24 ),
    inference(csr,[status(thm)],[421638,420883]) ).

cnf(425825,negated_conjecture,
    ( hskp15
    | hskp19
    | ~ hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[63423,425817,theory(equality)]) ).

cnf(425827,negated_conjecture,
    ( hskp0
    | hskp19
    | ~ hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[63460,425817,theory(equality)]) ).

cnf(425853,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp3
    | ~ hskp24 ),
    inference(spm,[status(thm)],[321064,425817,theory(equality)]) ).

cnf(425873,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp1
    | ~ hskp29
    | ~ c2_1(a2414)
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,420982,theory(equality)]) ).

cnf(427198,negated_conjecture,
    ( hskp15
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[422397,396896]) ).

cnf(427199,negated_conjecture,
    ( hskp15
    | hskp3 ),
    inference(csr,[status(thm)],[427198,398103]) ).

cnf(427557,negated_conjecture,
    ( hskp30
    | hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[423607,376071]) ).

cnf(427917,negated_conjecture,
    ( hskp19
    | hskp15
    | ~ hskp24 ),
    inference(csr,[status(thm)],[425825,421646]) ).

cnf(427918,negated_conjecture,
    ( hskp15
    | ~ hskp24 ),
    inference(csr,[status(thm)],[427917,399529]) ).

cnf(427947,negated_conjecture,
    ( hskp19
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[425827,421646]) ).

cnf(427948,negated_conjecture,
    ( hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[427947,415346]) ).

cnf(428056,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp24 ),
    inference(csr,[status(thm)],[425853,381522]) ).

cnf(428057,negated_conjecture,
    ( hskp20
    | ~ hskp24 ),
    inference(csr,[status(thm)],[428056,31822]) ).

cnf(428677,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | c0_1(a2468)
    | ~ hskp24
    | ~ c1_1(a2468) ),
    inference(csr,[status(thm)],[39924,427948]) ).

cnf(428678,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | c0_1(a2468)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[428677,44]) ).

cnf(428679,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[428678,43]) ).

cnf(428744,negated_conjecture,
    ( hskp3
    | hskp4
    | ~ hskp7
    | ~ hskp24 ),
    inference(spm,[status(thm)],[294561,428679,theory(equality)]) ).

cnf(428779,negated_conjecture,
    ( hskp5
    | hskp4
    | ~ hskp12
    | ~ hskp24 ),
    inference(spm,[status(thm)],[362748,428679,theory(equality)]) ).

cnf(428781,negated_conjecture,
    ( hskp2
    | hskp4
    | ~ hskp24 ),
    inference(spm,[status(thm)],[363983,428679,theory(equality)]) ).

cnf(428786,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp12
    | ~ c1_1(a2435)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[363935,428679,theory(equality)]) ).

cnf(428789,negated_conjecture,
    ( c1_1(a2435)
    | hskp4
    | ~ hskp20
    | ~ hskp24 ),
    inference(spm,[status(thm)],[364096,428679,theory(equality)]) ).

cnf(428790,negated_conjecture,
    ( hskp4
    | ~ hskp22
    | ~ hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[364340,428679,theory(equality)]) ).

cnf(428826,negated_conjecture,
    ( hskp4
    | hskp2
    | ~ hskp9 ),
    inference(spm,[status(thm)],[428781,306624,theory(equality)]) ).

cnf(428843,negated_conjecture,
    ( hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[428826,381018]) ).

cnf(428846,negated_conjecture,
    ( hskp2
    | ~ hskp18 ),
    inference(spm,[status(thm)],[138792,428843,theory(equality)]) ).

cnf(428864,negated_conjecture,
    ( hskp4
    | c2_1(a2402)
    | ~ hskp25
    | ~ c1_1(a2478)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[39925,39]) ).

cnf(428868,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp4
    | ~ hskp0
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[4356,428864,theory(equality)]) ).

cnf(428887,negated_conjecture,
    ( hskp4
    | ~ hskp1
    | ~ hskp0
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[53746,428864,theory(equality)]) ).

cnf(428972,negated_conjecture,
    ( hskp4
    | ~ hskp18
    | ~ hskp0
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[364045,428864,theory(equality)]) ).

cnf(428974,negated_conjecture,
    ( hskp4
    | ~ hskp22
    | ~ hskp0
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[364340,428864,theory(equality)]) ).

cnf(429035,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[428744,304753]) ).

cnf(429118,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp22 ),
    inference(csr,[status(thm)],[428790,427948]) ).

cnf(429125,negated_conjecture,
    ( hskp4
    | hskp12
    | hskp5
    | ~ hskp24 ),
    inference(spm,[status(thm)],[429118,84205,theory(equality)]) ).

cnf(429437,negated_conjecture,
    ( hskp5
    | hskp4
    | ~ hskp24 ),
    inference(csr,[status(thm)],[429125,428779]) ).

cnf(429496,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[428789,428057]) ).

cnf(430880,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp5
    | ~ c1_1(a2408) ),
    inference(spm,[status(thm)],[421000,421565,theory(equality)]) ).

cnf(431000,negated_conjecture,
    ( hskp3
    | hskp24
    | ~ hskp17
    | ~ hskp5
    | ~ hskp29 ),
    inference(spm,[status(thm)],[430880,306933,theory(equality)]) ).

cnf(431007,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp17
    | ~ hskp5 ),
    inference(spm,[status(thm)],[430880,362483,theory(equality)]) ).

cnf(431019,negated_conjecture,
    ( hskp3
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[431007,77326]) ).

cnf(431022,negated_conjecture,
    ( hskp3
    | hskp1
    | hskp23
    | hskp18
    | hskp14
    | ~ hskp15 ),
    inference(spm,[status(thm)],[431019,23479,theory(equality)]) ).

cnf(431602,negated_conjecture,
    ( c2_1(a2414)
    | hskp19
    | ~ hskp28
    | ~ hskp17 ),
    inference(spm,[status(thm)],[421585,420881,theory(equality)]) ).

cnf(431944,negated_conjecture,
    ( hskp3
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[421000,421595,theory(equality)]) ).

cnf(432053,negated_conjecture,
    ( hskp3
    | ~ hskp29
    | ~ hskp17
    | ~ hskp1 ),
    inference(spm,[status(thm)],[431944,63373,theory(equality)]) ).

cnf(432085,negated_conjecture,
    ( hskp3
    | ~ hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[432053,431019]) ).

cnf(432086,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[432085,25395,theory(equality)]) ).

cnf(432098,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[432086,250068]) ).

cnf(432100,negated_conjecture,
    ( hskp3
    | hskp21
    | ~ hskp9
    | ~ hskp19 ),
    inference(spm,[status(thm)],[432098,3886,theory(equality)]) ).

cnf(432255,negated_conjecture,
    ( hskp21
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[432100,425804]) ).

cnf(432256,negated_conjecture,
    ( hskp21
    | hskp3 ),
    inference(csr,[status(thm)],[432255,381504]) ).

cnf(434867,negated_conjecture,
    ( c2_1(a2414)
    | hskp20
    | ~ hskp12
    | ~ c2_1(a2417)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[421573,12677,theory(equality)]) ).

cnf(435007,negated_conjecture,
    ( c2_1(a2414)
    | c1_1(a2455)
    | hskp20
    | ~ hskp23
    | ~ hskp15 ),
    inference(spm,[status(thm)],[421577,12677,theory(equality)]) ).

cnf(435633,negated_conjecture,
    ( hskp4
    | c1_1(a2408)
    | c0_1(a2468)
    | ~ hskp24
    | ~ hskp5 ),
    inference(csr,[status(thm)],[40107,44]) ).

cnf(435634,negated_conjecture,
    ( hskp4
    | c1_1(a2408)
    | c0_1(a2468)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[435633,429437]) ).

cnf(435635,negated_conjecture,
    ( hskp4
    | c1_1(a2408)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[435634,43]) ).

cnf(435662,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp20
    | ~ hskp5
    | ~ hskp24 ),
    inference(spm,[status(thm)],[166930,435635,theory(equality)]) ).

cnf(437988,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[431000,432085]) ).

cnf(437989,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[437988,328041]) ).

cnf(439000,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp24
    | ~ hskp20 ),
    inference(csr,[status(thm)],[435662,429437]) ).

cnf(439001,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp24 ),
    inference(csr,[status(thm)],[439000,428057]) ).

cnf(443552,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp20
    | ~ hskp12 ),
    inference(csr,[status(thm)],[428786,429496]) ).

cnf(443553,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp20 ),
    inference(csr,[status(thm)],[443552,439001]) ).

cnf(443554,negated_conjecture,
    ( hskp4
    | ~ hskp24 ),
    inference(csr,[status(thm)],[443553,428057]) ).

cnf(443736,negated_conjecture,
    ( hskp4
    | hskp29
    | ~ hskp25
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[428887,26142,theory(equality)]) ).

cnf(443969,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp18
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[428972,30259,theory(equality)]) ).

cnf(444030,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp19
    | ~ hskp18 ),
    inference(csr,[status(thm)],[443969,415346]) ).

cnf(444048,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp22
    | ~ hskp0
    | ~ hskp23
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[428974,285159,theory(equality)]) ).

cnf(445404,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | c0_1(a2403)
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[40371,136]) ).

cnf(446954,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | ~ hskp25
    | ~ hskp12
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[40380,39]) ).

cnf(446965,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp12
    | ~ hskp25
    | ~ c1_1(a2478) ),
    inference(spm,[status(thm)],[30049,446954,theory(equality)]) ).

cnf(447627,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp19
    | ~ hskp12 ),
    inference(csr,[status(thm)],[446965,30259]) ).

cnf(448007,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp13
    | ~ c2_1(a2414) ),
    inference(sr,[status(thm)],[421180,421033,theory(equality)]) ).

cnf(448012,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp19
    | ~ hskp13
    | ~ hskp28
    | ~ hskp17 ),
    inference(spm,[status(thm)],[448007,431602,theory(equality)]) ).

cnf(450008,negated_conjecture,
    ( hskp20
    | c2_1(a2414)
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[434867,1698]) ).

cnf(450010,negated_conjecture,
    ( hskp20
    | c2_1(a2414)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[450008,44666,theory(equality)]) ).

cnf(450021,negated_conjecture,
    ( hskp20
    | c2_1(a2414)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[450010,386389]) ).

cnf(450332,negated_conjecture,
    ( hskp20
    | c2_1(a2414)
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[435007,1729]) ).

cnf(450333,negated_conjecture,
    ( hskp20
    | c2_1(a2414)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[450332,14771]) ).

cnf(450438,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[420956,450333,theory(equality)]) ).

cnf(450581,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp23
    | ~ hskp18 ),
    inference(spm,[status(thm)],[450438,320959,theory(equality)]) ).

cnf(450923,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp23 ),
    inference(csr,[status(thm)],[450581,2048]) ).

cnf(451803,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | c0_1(a2403)
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[40566,136]) ).

cnf(452738,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ c2_1(a2414)
    | ~ c1_1(a2478) ),
    inference(sr,[status(thm)],[421215,421033,theory(equality)]) ).

cnf(452743,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp19
    | ~ c1_1(a2478)
    | ~ hskp28
    | ~ hskp17 ),
    inference(spm,[status(thm)],[452738,431602,theory(equality)]) ).

cnf(452756,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp20
    | ~ c1_1(a2478)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[452738,450021,theory(equality)]) ).

cnf(452776,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp11
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[452756,420782]) ).

cnf(452781,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp11
    | hskp29
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[452776,26142,theory(equality)]) ).

cnf(452832,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp14
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[431022,427199]) ).

cnf(452833,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[452832,396221]) ).

cnf(452834,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[452833,403145]) ).

cnf(452880,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | ~ hskp25
    | ~ hskp20
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[40575,39]) ).

cnf(452885,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | hskp29
    | ~ hskp25
    | ~ hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[452880,26142,theory(equality)]) ).

cnf(452887,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | ~ hskp25
    | ~ hskp20
    | ~ hskp19 ),
    inference(spm,[status(thm)],[452880,30259,theory(equality)]) ).

cnf(452919,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[452887,31822]) ).

cnf(452922,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp4
    | ~ hskp20
    | ~ hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[6297,452919,theory(equality)]) ).

cnf(459492,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(a2412)
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[425261,108]) ).

cnf(459493,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[459492,106]) ).

cnf(459596,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ c1_1(a2409)
    | ~ hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[420956,459493,theory(equality)]) ).

cnf(460037,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp8
    | ~ hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[459596,63373,theory(equality)]) ).

cnf(460078,negated_conjecture,
    ( hskp20
    | ~ hskp29
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[460037,418677]) ).

cnf(460079,negated_conjecture,
    ( hskp20
    | ~ hskp8
    | ~ hskp6
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[460078,25395,theory(equality)]) ).

cnf(460093,negated_conjecture,
    ( hskp20
    | ~ hskp9
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[460079,410410]) ).

cnf(460094,negated_conjecture,
    ( hskp20
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[460093,394925]) ).

cnf(460366,negated_conjecture,
    ( c2_1(a2414)
    | c2_1(a2432)
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[425266,64]) ).

cnf(460457,negated_conjecture,
    ( hskp5
    | c2_1(a2414)
    | ~ hskp27
    | ~ c2_1(a2402)
    | ~ hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[364767,460366,theory(equality)]) ).

cnf(461848,negated_conjecture,
    ( c2_1(a2414)
    | ~ hskp20
    | ~ hskp6
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[425267,58]) ).

cnf(461950,negated_conjecture,
    ( hskp7
    | ~ hskp20
    | ~ c1_1(a2435)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[420905,461848,theory(equality)]) ).

cnf(462734,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp29
    | ~ c2_1(a2414)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[425873,136]) ).

cnf(462735,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a2414)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[462734,135]) ).

cnf(462736,negated_conjecture,
    ( ~ hskp29
    | ~ hskp1
    | ~ hskp30
    | ~ hskp17 ),
    inference(spm,[status(thm)],[462735,420977,theory(equality)]) ).

cnf(462741,negated_conjecture,
    ( ~ hskp29
    | ~ hskp1
    | ~ hskp17
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[462735,421595,theory(equality)]) ).

cnf(462764,negated_conjecture,
    ( ~ hskp29
    | ~ hskp1
    | ~ c2_1(a2402)
    | ~ c1_1(a2409)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[462735,421591,theory(equality)]) ).

cnf(462765,negated_conjecture,
    ( c1_1(a2455)
    | ~ hskp29
    | ~ hskp1
    | ~ hskp23
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[462735,421454,theory(equality)]) ).

cnf(462766,negated_conjecture,
    ( ~ hskp29
    | ~ hskp1
    | ~ hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[462735,459493,theory(equality)]) ).

cnf(462769,negated_conjecture,
    ( ~ hskp29
    | ~ hskp1
    | ~ hskp20
    | ~ hskp6
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[462735,461848,theory(equality)]) ).

cnf(462782,negated_conjecture,
    ( ~ hskp30
    | ~ hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[462736,415297]) ).

cnf(462783,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[462782,25395,theory(equality)]) ).

cnf(462838,negated_conjecture,
    ( hskp19
    | ~ hskp8
    | ~ hskp6
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[462766,420883,theory(equality)]) ).

cnf(462854,negated_conjecture,
    ( ~ hskp30
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[462783,396931]) ).

cnf(462856,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[462854,3886,theory(equality)]) ).

cnf(462896,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ hskp19 ),
    inference(csr,[status(thm)],[462856,415346]) ).

cnf(462897,negated_conjecture,
    ( hskp21
    | ~ hskp19 ),
    inference(csr,[status(thm)],[462896,130554]) ).

cnf(462924,negated_conjecture,
    ( ~ hskp29
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[462741,63373]) ).

cnf(462925,negated_conjecture,
    ( ~ hskp17
    | ~ hskp1
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[462924,25395,theory(equality)]) ).

cnf(462940,negated_conjecture,
    ( hskp26
    | hskp18
    | hskp6
    | ~ hskp9
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[462925,23669,theory(equality)]) ).

cnf(463012,negated_conjecture,
    ( hskp19
    | ~ hskp8
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[462838,410410]) ).

cnf(463013,negated_conjecture,
    ( hskp19
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[463012,405062]) ).

cnf(463751,negated_conjecture,
    ( hskp30
    | hskp6
    | c2_1(X1)
    | hskp1
    | c3_1(a2484)
    | ~ hskp26
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[41616,36]) ).

cnf(463752,negated_conjecture,
    ( hskp30
    | hskp6
    | c2_1(X1)
    | hskp1
    | ~ hskp26
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[463751,34]) ).

cnf(463753,negated_conjecture,
    ( hskp30
    | hskp6
    | c2_1(X1)
    | ~ hskp26
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[463752,397570]) ).

cnf(463761,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp15
    | ~ hskp26
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[78,463753,theory(equality)]) ).

cnf(464150,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp29
    | ~ hskp20
    | ~ hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[462769,300562,theory(equality)]) ).

cnf(464153,negated_conjecture,
    ( hskp23
    | ~ hskp29
    | ~ hskp20
    | ~ hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[462769,394584,theory(equality)]) ).

cnf(464158,negated_conjecture,
    ( hskp23
    | ~ hskp29
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[464153,412849]) ).

cnf(464169,negated_conjecture,
    ( hskp23
    | hskp4
    | ~ hskp20
    | ~ hskp1
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[464158,443736,theory(equality)]) ).

cnf(464224,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp26
    | ~ hskp15 ),
    inference(csr,[status(thm)],[463761,80]) ).

cnf(464225,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[464224,396924]) ).

cnf(464349,negated_conjecture,
    ( c1_1(a2455)
    | ~ hskp29
    | ~ hskp23
    | ~ hskp1 ),
    inference(csr,[status(thm)],[462765,63373]) ).

cnf(464351,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp23
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[3954,464349,theory(equality)]) ).

cnf(464382,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp3
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[201524,464349,theory(equality)]) ).

cnf(464429,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp29
    | ~ hskp23 ),
    inference(csr,[status(thm)],[464351,370172]) ).

cnf(464431,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[464429,25833,theory(equality)]) ).

cnf(464484,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[462854,464431,theory(equality)]) ).

cnf(464494,negated_conjecture,
    ( hskp21
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[464484,130554]) ).

cnf(464502,negated_conjecture,
    ( hskp21
    | hskp19
    | ~ hskp0
    | ~ hskp18
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[464494,78508,theory(equality)]) ).

cnf(464512,negated_conjecture,
    ( hskp21
    | ~ hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[464494,375787,theory(equality)]) ).

cnf(464555,negated_conjecture,
    ( hskp21
    | hskp25
    | ~ hskp1 ),
    inference(spm,[status(thm)],[464512,415349,theory(equality)]) ).

cnf(464563,negated_conjecture,
    ( hskp25
    | hskp21 ),
    inference(csr,[status(thm)],[464555,180742]) ).

cnf(464621,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp3
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[464382,201530,theory(equality)]) ).

cnf(464872,negated_conjecture,
    ( hskp7
    | ~ hskp3
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[464621,375787]) ).

cnf(469014,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp28
    | ~ hskp13 ),
    inference(csr,[status(thm)],[448012,421002]) ).

cnf(469015,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp13 ),
    inference(csr,[status(thm)],[469014,421002]) ).

cnf(469016,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp13 ),
    inference(csr,[status(thm)],[469015,462897]) ).

cnf(469019,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[469016,12826,theory(equality)]) ).

cnf(469033,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp18 ),
    inference(csr,[status(thm)],[469019,420802]) ).

cnf(471781,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp20
    | hskp11
    | ~ hskp25 ),
    inference(csr,[status(thm)],[452781,420783]) ).

cnf(471782,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp20
    | hskp11 ),
    inference(csr,[status(thm)],[471781,464563]) ).

cnf(471783,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp21
    | hskp11 ),
    inference(spm,[status(thm)],[2048,471782,theory(equality)]) ).

cnf(471835,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp11 ),
    inference(csr,[status(thm)],[471783,469033]) ).

cnf(472099,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp4
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[452922,31822]) ).

cnf(472100,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[472099,444030]) ).

cnf(472118,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[166949,472100,theory(equality)]) ).

cnf(472154,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp19 ),
    inference(csr,[status(thm)],[472118,447627]) ).

cnf(472155,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp25
    | ~ hskp19 ),
    inference(spm,[status(thm)],[71114,472154,theory(equality)]) ).

cnf(472156,negated_conjecture,
    ( ~ hskp25
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[472155,463013]) ).

cnf(473803,negated_conjecture,
    ( hskp26
    | hskp18
    | hskp6
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[462940,59076]) ).

cnf(473814,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp18
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[229953,473803,theory(equality)]) ).

cnf(473830,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[473814,319779]) ).

cnf(473831,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[473830,261057]) ).

cnf(474134,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp29
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[464150,319545]) ).

cnf(474135,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp29
    | ~ hskp20 ),
    inference(csr,[status(thm)],[474134,319545]) ).

cnf(474136,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[474135,381522]) ).

cnf(474163,negated_conjecture,
    ( hskp23
    | hskp4
    | ~ hskp25
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[464169,415344]) ).

cnf(474164,negated_conjecture,
    ( hskp23
    | ~ hskp8
    | ~ hskp6
    | ~ hskp25
    | ~ hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[71114,474163,theory(equality)]) ).

cnf(474636,negated_conjecture,
    ( hskp21
    | hskp19
    | ~ hskp18
    | ~ hskp16
    | ~ hskp0 ),
    inference(csr,[status(thm)],[464502,469033]) ).

cnf(474637,negated_conjecture,
    ( hskp21
    | ~ hskp18
    | ~ hskp16
    | ~ hskp0 ),
    inference(csr,[status(thm)],[474636,462897]) ).

cnf(475506,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp4
    | c2_1(a2403)
    | ~ hskp11
    | ~ c1_1(a2403) ),
    inference(csr,[status(thm)],[43168,8554]) ).

cnf(475507,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp4
    | c2_1(a2403)
    | ~ c1_1(a2403) ),
    inference(csr,[status(thm)],[475506,163114]) ).

cnf(475508,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp4
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[135,475507,theory(equality)]) ).

cnf(475600,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[475508,136]) ).

cnf(475601,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp4 ),
    inference(csr,[status(thm)],[475600,8554]) ).

cnf(476190,negated_conjecture,
    ( hskp23
    | ~ hskp25
    | ~ hskp20
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[474164,472156]) ).

cnf(476191,negated_conjecture,
    ( hskp23
    | ~ hskp25
    | ~ hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[476190,460094]) ).

cnf(476192,negated_conjecture,
    ( hskp23
    | ~ hskp25
    | ~ hskp8 ),
    inference(csr,[status(thm)],[476191,412849]) ).

cnf(477373,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a2402)
    | ~ hskp1
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[462764,63460]) ).

cnf(477374,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a2402)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[477373,63373]) ).

cnf(478571,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp4
    | ~ c1_1(a2478)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[428868,464563]) ).

cnf(478572,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp4
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[478571,420783]) ).

cnf(478577,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp4
    | hskp29
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[478572,26142,theory(equality)]) ).

cnf(478633,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp11
    | hskp4
    | ~ hskp25 ),
    inference(csr,[status(thm)],[478577,420783]) ).

cnf(478634,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp11
    | hskp4 ),
    inference(csr,[status(thm)],[478633,464563]) ).

cnf(478739,negated_conjecture,
    ( hskp29
    | c2_1(a2416)
    | c1_1(a2416)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[44625,19480]) ).

cnf(478740,negated_conjecture,
    ( hskp29
    | c2_1(a2416)
    | c1_1(a2416)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[478739,19316]) ).

cnf(478741,negated_conjecture,
    ( hskp29
    | c2_1(a2416)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[478740,95]) ).

cnf(478742,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[478741,94]) ).

cnf(478744,negated_conjecture,
    ( hskp29
    | c1_1(a2413)
    | ~ hskp9
    | ~ hskp11
    | ~ c2_1(a2413) ),
    inference(spm,[status(thm)],[103,478742,theory(equality)]) ).

cnf(479052,negated_conjecture,
    ( hskp29
    | c1_1(a2413)
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[478744,104]) ).

cnf(479053,negated_conjecture,
    ( hskp29
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[479052,102]) ).

cnf(479074,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[314185,479053,theory(equality)]) ).

cnf(479075,negated_conjecture,
    ( hskp20
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[314283,479053,theory(equality)]) ).

cnf(479101,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp23
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[464429,479053,theory(equality)]) ).

cnf(479106,negated_conjecture,
    ( hskp20
    | ~ hskp11 ),
    inference(csr,[status(thm)],[479075,394925]) ).

cnf(479107,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp11 ),
    inference(spm,[status(thm)],[17283,479106,theory(equality)]) ).

cnf(479112,negated_conjecture,
    ( hskp19
    | hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[142017,479106,theory(equality)]) ).

cnf(479114,negated_conjecture,
    ( hskp12
    | ~ hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[284110,479106,theory(equality)]) ).

cnf(479121,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[398985,479106,theory(equality)]) ).

cnf(479122,negated_conjecture,
    ( hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[415344,479106,theory(equality)]) ).

cnf(479142,negated_conjecture,
    ( hskp21
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[464512,479122,theory(equality)]) ).

cnf(479173,negated_conjecture,
    ( hskp12
    | ~ hskp30 ),
    inference(csr,[status(thm)],[479107,420782]) ).

cnf(479223,negated_conjecture,
    ( hskp19
    | hskp12 ),
    inference(csr,[status(thm)],[479112,420782]) ).

cnf(479257,negated_conjecture,
    ( hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[479114,420782]) ).

cnf(479288,negated_conjecture,
    ( hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[479121,420782]) ).

cnf(479319,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[44668,479223]) ).

cnf(479320,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[479319,415346]) ).

cnf(479321,negated_conjecture,
    ( c1_1(a2414)
    | c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,479320,theory(equality)]) ).

cnf(479461,negated_conjecture,
    ( c1_1(a2414)
    | c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417)
    | $false ),
    inference(rw,[status(thm)],[479321,421037,theory(equality)]) ).

cnf(479462,negated_conjecture,
    ( c1_1(a2414)
    | c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417) ),
    inference(cn,[status(thm)],[479461,theory(equality)]) ).

cnf(479463,negated_conjecture,
    ( c0_1(a2417)
    | hskp0
    | ~ c1_1(a2417) ),
    inference(sr,[status(thm)],[479462,421033,theory(equality)]) ).

cnf(479474,negated_conjecture,
    ( hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[479142,420802]) ).

cnf(479739,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[479074,381504]) ).

cnf(479740,negated_conjecture,
    ( hskp21
    | hskp0 ),
    inference(csr,[status(thm)],[479739,420783]) ).

cnf(480013,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2422)
    | c0_1(X1)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[44710,44569]) ).

cnf(480066,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp23
    | ~ hskp11 ),
    inference(csr,[status(thm)],[479101,381504]) ).

cnf(480067,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp23 ),
    inference(csr,[status(thm)],[480066,4479]) ).

cnf(480070,negated_conjecture,
    ( hskp1
    | hskp21
    | ~ hskp11
    | ~ hskp23 ),
    inference(spm,[status(thm)],[35131,480067,theory(equality)]) ).

cnf(480127,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[480070,370172]) ).

cnf(480128,negated_conjecture,
    ( hskp21
    | ~ hskp23 ),
    inference(csr,[status(thm)],[480127,479474]) ).

cnf(480791,negated_conjecture,
    ( c1_1(a2428)
    | c1_1(a2455)
    | hskp0
    | ~ hskp23
    | ~ hskp18 ),
    inference(csr,[status(thm)],[45100,67]) ).

cnf(480794,negated_conjecture,
    ( hskp29
    | hskp0
    | c1_1(a2455)
    | ~ hskp18
    | ~ hskp23 ),
    inference(spm,[status(thm)],[10731,480791,theory(equality)]) ).

cnf(480946,negated_conjecture,
    ( c2_1(a2453)
    | c1_1(a2455)
    | hskp0
    | ~ hskp23
    | ~ hskp22 ),
    inference(csr,[status(thm)],[45103,51]) ).

cnf(480947,negated_conjecture,
    ( c1_1(a2455)
    | hskp0
    | ~ hskp23
    | ~ hskp22 ),
    inference(csr,[status(thm)],[480946,50]) ).

cnf(481008,negated_conjecture,
    ( hskp19
    | hskp0
    | ~ hskp23
    | ~ hskp22 ),
    inference(spm,[status(thm)],[421523,480947,theory(equality)]) ).

cnf(481038,negated_conjecture,
    ( hskp0
    | ~ hskp23
    | ~ hskp22 ),
    inference(csr,[status(thm)],[481008,415346]) ).

cnf(481403,negated_conjecture,
    ( hskp29
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp18 ),
    inference(csr,[status(thm)],[480794,25831]) ).

cnf(481405,negated_conjecture,
    ( hskp20
    | hskp29
    | ~ hskp23
    | ~ hskp18 ),
    inference(spm,[status(thm)],[14771,481403,theory(equality)]) ).

cnf(481475,negated_conjecture,
    ( hskp20
    | ~ hskp23
    | ~ hskp18 ),
    inference(csr,[status(thm)],[481405,450923]) ).

cnf(481503,negated_conjecture,
    ( hskp20
    | hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[481475,412849,theory(equality)]) ).

cnf(481516,negated_conjecture,
    ( hskp20
    | ~ hskp18
    | ~ hskp25
    | ~ hskp8 ),
    inference(spm,[status(thm)],[481475,476192,theory(equality)]) ).

cnf(481532,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp12 ),
    inference(spm,[status(thm)],[481503,473831,theory(equality)]) ).

cnf(481537,negated_conjecture,
    ( hskp20
    | hskp12 ),
    inference(csr,[status(thm)],[481532,479257]) ).

cnf(481546,negated_conjecture,
    ( hskp0
    | hskp12 ),
    inference(spm,[status(thm)],[415344,481537,theory(equality)]) ).

cnf(481576,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a2422)
    | c0_1(X1)
    | hskp0 ),
    inference(spm,[status(thm)],[480013,481546,theory(equality)]) ).

cnf(481734,negated_conjecture,
    ( hskp20
    | ~ hskp18
    | ~ hskp8 ),
    inference(csr,[status(thm)],[481516,86327]) ).

cnf(481735,negated_conjecture,
    ( hskp20
    | ~ hskp8 ),
    inference(csr,[status(thm)],[481734,226458]) ).

cnf(482330,negated_conjecture,
    ( hskp19
    | c1_1(a2478)
    | hskp4
    | c0_1(a2422)
    | hskp0 ),
    inference(spm,[status(thm)],[241476,481576,theory(equality)]) ).

cnf(486533,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(a2417)
    | c1_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | hskp0 ),
    inference(csr,[status(thm)],[45542,481546]) ).

cnf(486534,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(a2417)
    | c0_1(X1)
    | hskp0 ),
    inference(csr,[status(thm)],[486533,479463]) ).

cnf(486535,negated_conjecture,
    ( hskp16
    | c2_1(a2417)
    | c1_1(a2417)
    | c0_1(a2417)
    | hskp0 ),
    inference(ef,[status(thm)],[486534,theory(equality)]) ).

cnf(489348,negated_conjecture,
    ( hskp19
    | hskp4
    | c0_1(a2422)
    | hskp0 ),
    inference(csr,[status(thm)],[482330,420887]) ).

cnf(489349,negated_conjecture,
    ( hskp4
    | c0_1(a2422)
    | hskp0 ),
    inference(csr,[status(thm)],[489348,415346]) ).

cnf(493213,negated_conjecture,
    ( hskp16
    | c2_1(a2417)
    | c0_1(a2417)
    | hskp0 ),
    inference(csr,[status(thm)],[486535,479463]) ).

cnf(493214,negated_conjecture,
    ( hskp16
    | c2_1(a2417)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[91,493213,theory(equality)]) ).

cnf(493408,negated_conjecture,
    ( hskp16
    | c2_1(a2417)
    | hskp0 ),
    inference(csr,[status(thm)],[493214,481546]) ).

cnf(493515,negated_conjecture,
    ( c2_1(a2414)
    | hskp16
    | hskp0
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[421600,493408,theory(equality)]) ).

cnf(493838,negated_conjecture,
    ( hskp16
    | c2_1(a2414)
    | hskp0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[493515,479173]) ).

cnf(493839,negated_conjecture,
    ( hskp16
    | c2_1(a2414)
    | hskp0 ),
    inference(csr,[status(thm)],[493838,311289]) ).

cnf(493934,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp0
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(spm,[status(thm)],[420956,493839,theory(equality)]) ).

cnf(494462,negated_conjecture,
    ( hskp20
    | hskp16
    | ~ hskp29
    | ~ c1_1(a2409) ),
    inference(csr,[status(thm)],[493934,386389]) ).

cnf(494486,negated_conjecture,
    ( hskp20
    | hskp16
    | ~ hskp29
    | ~ hskp18 ),
    inference(spm,[status(thm)],[494462,320959,theory(equality)]) ).

cnf(494557,negated_conjecture,
    ( hskp20
    | hskp16
    | ~ hskp29 ),
    inference(csr,[status(thm)],[494486,2048]) ).

cnf(494572,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp21
    | hskp11
    | hskp4 ),
    inference(spm,[status(thm)],[494557,478634,theory(equality)]) ).

cnf(494742,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp11 ),
    inference(csr,[status(thm)],[494572,471835]) ).

cnf(494743,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16 ),
    inference(csr,[status(thm)],[494742,479106]) ).

cnf(494744,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp18
    | ~ hskp0 ),
    inference(spm,[status(thm)],[474637,494743,theory(equality)]) ).

cnf(494745,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[494744,479740]) ).

cnf(504289,negated_conjecture,
    ( hskp4
    | ~ hskp25
    | ~ hskp23
    | ~ hskp22
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[444048,481038]) ).

cnf(504292,negated_conjecture,
    ( hskp4
    | hskp7
    | hskp6
    | ~ hskp25
    | ~ hskp23
    | ~ hskp22 ),
    inference(spm,[status(thm)],[504289,8332,theory(equality)]) ).

cnf(504329,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp4
    | ~ hskp25
    | ~ hskp23 ),
    inference(csr,[status(thm)],[504292,44429]) ).

cnf(504330,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp4
    | ~ hskp25 ),
    inference(csr,[status(thm)],[504329,412849]) ).

cnf(504331,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[504330,475601]) ).

cnf(505471,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp4
    | ~ hskp14
    | ~ hskp11
    | ~ hskp9 ),
    inference(csr,[status(thm)],[227309,273688]) ).

cnf(505472,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp4
    | ~ hskp14
    | ~ hskp9 ),
    inference(csr,[status(thm)],[505471,383633]) ).

cnf(505486,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp4
    | ~ hskp11
    | ~ hskp14
    | ~ hskp9 ),
    inference(spm,[status(thm)],[314352,505472,theory(equality)]) ).

cnf(505705,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4
    | ~ hskp14
    | ~ hskp11 ),
    inference(csr,[status(thm)],[505486,185713]) ).

cnf(505706,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[505705,383633]) ).

cnf(505707,negated_conjecture,
    ( hskp12
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[505706,479173]) ).

cnf(506604,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp28
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[452743,420887]) ).

cnf(506605,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[506604,420887]) ).

cnf(506606,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ c1_1(a2478) ),
    inference(csr,[status(thm)],[506605,462897]) ).

cnf(506611,negated_conjecture,
    ( hskp21
    | hskp11
    | hskp29
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[506606,26142,theory(equality)]) ).

cnf(506656,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp11
    | ~ hskp25 ),
    inference(csr,[status(thm)],[506611,479740]) ).

cnf(506657,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp11 ),
    inference(csr,[status(thm)],[506656,464563]) ).

cnf(506658,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp21
    | hskp11 ),
    inference(spm,[status(thm)],[2048,506657,theory(equality)]) ).

cnf(506707,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp18 ),
    inference(csr,[status(thm)],[506658,479106]) ).

cnf(506708,negated_conjecture,
    ( hskp21
    | hskp20 ),
    inference(csr,[status(thm)],[506707,494745]) ).

cnf(507090,negated_conjecture,
    ( hskp29
    | hskp4
    | c1_1(a2435)
    | ~ hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[452885,415344]) ).

cnf(507165,negated_conjecture,
    ( hskp19
    | hskp4
    | hskp29
    | ~ hskp20
    | ~ hskp25 ),
    inference(spm,[status(thm)],[420824,507090,theory(equality)]) ).

cnf(507172,negated_conjecture,
    ( hskp7
    | hskp29
    | hskp4
    | ~ hskp20
    | ~ hskp6
    | ~ hskp25 ),
    inference(spm,[status(thm)],[461950,507090,theory(equality)]) ).

cnf(507231,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp4
    | ~ hskp20 ),
    inference(csr,[status(thm)],[507165,227519]) ).

cnf(507263,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp30
    | ~ hskp17
    | ~ hskp20 ),
    inference(spm,[status(thm)],[462782,507231,theory(equality)]) ).

cnf(507333,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[507263,427557]) ).

cnf(507517,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp4
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[507172,475601]) ).

cnf(507518,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp4
    | ~ hskp20 ),
    inference(csr,[status(thm)],[507517,504331]) ).

cnf(507545,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp7
    | hskp4
    | ~ hskp20 ),
    inference(spm,[status(thm)],[437989,507518,theory(equality)]) ).

cnf(507598,negated_conjecture,
    ( hskp24
    | hskp7
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[507545,381522]) ).

cnf(507599,negated_conjecture,
    ( hskp24
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[507598,429035]) ).

cnf(507600,negated_conjecture,
    ( hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[507599,443554]) ).

cnf(510724,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp4
    | ~ hskp26
    | ~ hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[285257,227291]) ).

cnf(510725,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp4
    | ~ hskp26
    | ~ hskp9 ),
    inference(csr,[status(thm)],[510724,273688]) ).

cnf(510739,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp4
    | ~ hskp11
    | ~ hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[314352,510725,theory(equality)]) ).

cnf(510804,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[510739,329918]) ).

cnf(510805,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4
    | ~ hskp26 ),
    inference(csr,[status(thm)],[510804,383633]) ).

cnf(510806,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp26 ),
    inference(csr,[status(thm)],[510805,329918]) ).

cnf(510807,negated_conjecture,
    ( hskp12
    | ~ hskp26 ),
    inference(csr,[status(thm)],[510806,479173]) ).

cnf(515898,negated_conjecture,
    ( hskp30
    | hskp14
    | hskp12
    | hskp4
    | ~ hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[349771,479288]) ).

cnf(515899,negated_conjecture,
    ( hskp30
    | hskp14
    | hskp12
    | hskp4
    | ~ hskp3 ),
    inference(csr,[status(thm)],[515898,383633]) ).

cnf(515900,negated_conjecture,
    ( hskp30
    | hskp14
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[515899,507600]) ).

cnf(515901,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[515900,505707]) ).

cnf(515902,negated_conjecture,
    ( hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[515901,479173]) ).

cnf(516554,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp28
    | ~ hskp15
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[349903,309089]) ).

cnf(516555,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp28
    | ~ hskp15
    | ~ hskp12 ),
    inference(csr,[status(thm)],[516554,452834]) ).

cnf(516556,negated_conjecture,
    ( hskp23
    | hskp14
    | ~ hskp28
    | ~ hskp12 ),
    inference(csr,[status(thm)],[516555,403181]) ).

cnf(516563,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[516556,340213,theory(equality)]) ).

cnf(516894,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp1 ),
    inference(csr,[status(thm)],[516563,479288]) ).

cnf(516895,negated_conjecture,
    ( hskp23
    | hskp14 ),
    inference(csr,[status(thm)],[516894,403145]) ).

cnf(522514,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp12 ),
    inference(csr,[status(thm)],[365675,365499]) ).

cnf(522515,negated_conjecture,
    ( hskp1
    | c1_1(a2408)
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[522514,479288]) ).

cnf(522516,negated_conjecture,
    ( c1_1(a2409)
    | c1_1(a2408)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[522515,63373]) ).

cnf(523466,negated_conjecture,
    ( hskp23
    | hskp21
    | c2_1(a2435)
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[386508,506708]) ).

cnf(523467,negated_conjecture,
    ( hskp21
    | c2_1(a2435)
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[523466,480128]) ).

cnf(523468,negated_conjecture,
    ( hskp21
    | ~ hskp20
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[58,523467,theory(equality)]) ).

cnf(523555,negated_conjecture,
    ( hskp21
    | ~ hskp11
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[523468,506708]) ).

cnf(523557,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp11
    | ~ hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[523555,36035,theory(equality)]) ).

cnf(523581,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[523557,506708]) ).

cnf(523582,negated_conjecture,
    ( hskp21
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[523581,4380]) ).

cnf(523583,negated_conjecture,
    ( hskp21
    | ~ hskp17 ),
    inference(csr,[status(thm)],[523582,479474]) ).

cnf(539681,negated_conjecture,
    ( hskp5
    | c2_1(a2414)
    | ~ hskp27
    | ~ hskp6
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[460457,97025]) ).

cnf(539773,negated_conjecture,
    ( hskp5
    | ~ hskp29
    | ~ hskp1
    | ~ hskp27
    | ~ hskp6
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[462735,539681,theory(equality)]) ).

cnf(539876,negated_conjecture,
    ( hskp5
    | ~ hskp29
    | ~ hskp27
    | ~ c2_1(a2402)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[539773,477374]) ).

cnf(539877,negated_conjecture,
    ( hskp5
    | ~ hskp29
    | ~ c2_1(a2402)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[539876,477374]) ).

cnf(539878,negated_conjecture,
    ( hskp5
    | ~ hskp29
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[539877,77326]) ).

cnf(539881,negated_conjecture,
    ( hskp5
    | c1_1(a2409)
    | ~ hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[539878,306016,theory(equality)]) ).

cnf(539885,negated_conjecture,
    ( hskp5
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[539881,59369]) ).

cnf(548458,negated_conjecture,
    ( c2_1(a2403)
    | c1_1(a2405)
    | ~ hskp29
    | ~ hskp3
    | ~ hskp1 ),
    inference(csr,[status(thm)],[54206,136]) ).

cnf(548459,negated_conjecture,
    ( c1_1(a2405)
    | ~ hskp29
    | ~ hskp3
    | ~ hskp1 ),
    inference(csr,[status(thm)],[548458,135]) ).

cnf(548480,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp3
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[140992,548459,theory(equality)]) ).

cnf(548610,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp29
    | ~ hskp3 ),
    inference(csr,[status(thm)],[548480,479288]) ).

cnf(548611,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp29 ),
    inference(csr,[status(thm)],[548610,474136]) ).

cnf(548612,negated_conjecture,
    ( hskp12
    | ~ hskp29 ),
    inference(csr,[status(thm)],[548611,479173]) ).

cnf(550186,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp21
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2427) ),
    inference(csr,[status(thm)],[58200,136]) ).

cnf(550187,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2427) ),
    inference(csr,[status(thm)],[550186,523583]) ).

cnf(550188,negated_conjecture,
    ( ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2427) ),
    inference(csr,[status(thm)],[550187,135]) ).

cnf(550201,negated_conjecture,
    ( hskp29
    | c1_1(a2427)
    | ~ hskp17
    | ~ hskp1
    | ~ c2_1(a2427)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[550188,19316,theory(equality)]) ).

cnf(550205,negated_conjecture,
    ( hskp4
    | c1_1(a2427)
    | ~ hskp17
    | ~ hskp1
    | ~ hskp19
    | ~ c2_1(a2427) ),
    inference(spm,[status(thm)],[550188,25880,theory(equality)]) ).

cnf(550623,negated_conjecture,
    ( hskp29
    | c1_1(a2427)
    | ~ hskp17
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[550201,72]) ).

cnf(550624,negated_conjecture,
    ( hskp29
    | c1_1(a2427)
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[550623,362778]) ).

cnf(550625,negated_conjecture,
    ( hskp29
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[550624,70]) ).

cnf(550643,negated_conjecture,
    ( ~ hskp17
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[462924,550625,theory(equality)]) ).

cnf(551104,negated_conjecture,
    ( hskp4
    | c1_1(a2427)
    | ~ hskp19
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[550205,72]) ).

cnf(551105,negated_conjecture,
    ( hskp4
    | c1_1(a2427)
    | ~ hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[551104,364999]) ).

cnf(551106,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[551105,70]) ).

cnf(555021,negated_conjecture,
    ( hskp22
    | hskp5
    | hskp4
    | ~ hskp20
    | ~ hskp12
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[364012,362752]) ).

cnf(555022,negated_conjecture,
    ( hskp22
    | hskp5
    | hskp4
    | ~ hskp20
    | ~ hskp12 ),
    inference(csr,[status(thm)],[555021,364101]) ).

cnf(555023,negated_conjecture,
    ( hskp22
    | hskp5
    | hskp4
    | ~ hskp20 ),
    inference(csr,[status(thm)],[555022,515902]) ).

cnf(555024,negated_conjecture,
    ( hskp22
    | hskp5
    | hskp4 ),
    inference(csr,[status(thm)],[555023,107912]) ).

cnf(555025,negated_conjecture,
    ( hskp22
    | hskp5 ),
    inference(csr,[status(thm)],[555024,8720]) ).

cnf(557200,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp30
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[58809,136]) ).

cnf(557201,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp30
    | ~ c2_1(a2450)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[557200,479474]) ).

cnf(557202,negated_conjecture,
    ( ~ hskp30
    | ~ c2_1(a2450)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[557201,135]) ).

cnf(559394,negated_conjecture,
    ( c2_1(a2403)
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2422)
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[62351,316276]) ).

cnf(559395,negated_conjecture,
    ( ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2422)
    | ~ c0_1(a2403) ),
    inference(csr,[status(thm)],[559394,135]) ).

cnf(559505,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2422)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[559395,445404,theory(equality)]) ).

cnf(559513,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2422)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[559395,451803,theory(equality)]) ).

cnf(559828,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | ~ hskp17
    | ~ hskp1
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[559505,515902]) ).

cnf(559963,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | hskp0
    | ~ hskp17
    | ~ hskp1 ),
    inference(spm,[status(thm)],[559828,489349,theory(equality)]) ).

cnf(559987,negated_conjecture,
    ( hskp4
    | c2_1(a2417)
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[559963,550643]) ).

cnf(560038,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp12
    | ~ c1_1(a2435)
    | ~ hskp17
    | ~ hskp1 ),
    inference(spm,[status(thm)],[283595,559987,theory(equality)]) ).

cnf(560234,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp17
    | ~ hskp12
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[560038,283697]) ).

cnf(560235,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp17
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[560234,515902]) ).

cnf(561024,negated_conjecture,
    ( hskp4
    | c1_1(a2435)
    | ~ hskp20
    | ~ hskp17
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[559513,283697]) ).

cnf(561025,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp17
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[561024,560235]) ).

cnf(561123,negated_conjecture,
    ( hskp4
    | hskp19
    | hskp7
    | ~ hskp20
    | ~ hskp17
    | ~ hskp15
    | ~ hskp14 ),
    inference(spm,[status(thm)],[561025,420840,theory(equality)]) ).

cnf(561820,negated_conjecture,
    ( hskp19
    | hskp7
    | hskp4
    | ~ hskp20
    | ~ hskp17
    | ~ hskp15 ),
    inference(csr,[status(thm)],[561123,507333]) ).

cnf(561821,negated_conjecture,
    ( hskp19
    | hskp7
    | hskp4
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[561820,316276]) ).

cnf(561822,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[561821,507333]) ).

cnf(561823,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[561822,551106]) ).

cnf(578098,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp30
    | ~ hskp26
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[66986,36]) ).

cnf(578099,negated_conjecture,
    ( c2_1(a2484)
    | ~ hskp30
    | ~ hskp26
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[578098,510807]) ).

cnf(578101,negated_conjecture,
    ( c2_1(a2484)
    | hskp0
    | ~ hskp30
    | ~ hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[578099,44666,theory(equality)]) ).

cnf(578117,negated_conjecture,
    ( c2_1(a2484)
    | hskp0
    | ~ hskp30
    | ~ hskp26 ),
    inference(csr,[status(thm)],[578101,510807]) ).

cnf(578118,negated_conjecture,
    ( c2_1(a2484)
    | hskp0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[578117,311289]) ).

cnf(578121,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[9737,578118,theory(equality)]) ).

cnf(578203,negated_conjecture,
    ( hskp20
    | ~ hskp26 ),
    inference(csr,[status(thm)],[578121,386389]) ).

cnf(578204,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp8 ),
    inference(spm,[status(thm)],[578203,11,theory(equality)]) ).

cnf(578249,negated_conjecture,
    ( hskp20
    | hskp11 ),
    inference(csr,[status(thm)],[578204,481735]) ).

cnf(578250,negated_conjecture,
    hskp20,
    inference(csr,[status(thm)],[578249,479106]) ).

cnf(578261,negated_conjecture,
    ( hskp4
    | $false
    | ~ hskp17 ),
    inference(rw,[status(thm)],[561823,578250,theory(equality)]) ).

cnf(578262,negated_conjecture,
    ( hskp4
    | ~ hskp17 ),
    inference(cn,[status(thm)],[578261,theory(equality)]) ).

cnf(578404,negated_conjecture,
    ( hskp0
    | $false ),
    inference(rw,[status(thm)],[415344,578250,theory(equality)]) ).

cnf(578405,negated_conjecture,
    hskp0,
    inference(cn,[status(thm)],[578404,theory(equality)]) ).

cnf(578412,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp23
    | $false
    | ~ hskp3 ),
    inference(rw,[status(thm)],[409874,578250,theory(equality)]) ).

cnf(578413,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp23
    | ~ hskp3 ),
    inference(cn,[status(thm)],[578412,theory(equality)]) ).

cnf(578465,negated_conjecture,
    ( c1_1(a2435)
    | $false
    | ~ c2_1(a2402) ),
    inference(rw,[status(thm)],[364096,578250,theory(equality)]) ).

cnf(578466,negated_conjecture,
    ( c1_1(a2435)
    | ~ c2_1(a2402) ),
    inference(cn,[status(thm)],[578465,theory(equality)]) ).

cnf(578467,negated_conjecture,
    ( hskp4
    | $false
    | ~ hskp12
    | ~ c2_1(a2402)
    | ~ c1_1(a2435) ),
    inference(rw,[status(thm)],[363935,578250,theory(equality)]) ).

cnf(578468,negated_conjecture,
    ( hskp4
    | ~ hskp12
    | ~ c2_1(a2402)
    | ~ c1_1(a2435) ),
    inference(cn,[status(thm)],[578467,theory(equality)]) ).

cnf(578483,negated_conjecture,
    ( c1_1(a2435)
    | c1_1(a2409)
    | ~ hskp29
    | $false ),
    inference(rw,[status(thm)],[319426,578250,theory(equality)]) ).

cnf(578484,negated_conjecture,
    ( c1_1(a2435)
    | c1_1(a2409)
    | ~ hskp29 ),
    inference(cn,[status(thm)],[578483,theory(equality)]) ).

cnf(578552,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | $false
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(rw,[status(thm)],[142652,578250,theory(equality)]) ).

cnf(578553,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[578552,theory(equality)]) ).

cnf(578589,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | $false
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(rw,[status(thm)],[6161,578250,theory(equality)]) ).

cnf(578590,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[578589,theory(equality)]) ).

cnf(578599,negated_conjecture,
    ( hskp1
    | c1_1(a2435)
    | $false
    | ~ hskp17 ),
    inference(rw,[status(thm)],[36035,578250,theory(equality)]) ).

cnf(578600,negated_conjecture,
    ( hskp1
    | c1_1(a2435)
    | ~ hskp17 ),
    inference(cn,[status(thm)],[578599,theory(equality)]) ).

cnf(578631,negated_conjecture,
    ( hskp18
    | hskp17
    | $false
    | ~ c1_1(a2435) ),
    inference(rw,[status(thm)],[6297,578250,theory(equality)]) ).

cnf(578632,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ c1_1(a2435) ),
    inference(cn,[status(thm)],[578631,theory(equality)]) ).

cnf(578643,negated_conjecture,
    ( $false
    | ~ c2_1(a2435) ),
    inference(rw,[status(thm)],[58,578250,theory(equality)]) ).

cnf(578644,negated_conjecture,
    ~ c2_1(a2435),
    inference(cn,[status(thm)],[578643,theory(equality)]) ).

cnf(578645,negated_conjecture,
    ( $false
    | ~ c0_1(a2435) ),
    inference(rw,[status(thm)],[59,578250,theory(equality)]) ).

cnf(578646,negated_conjecture,
    ~ c0_1(a2435),
    inference(cn,[status(thm)],[578645,theory(equality)]) ).

cnf(578647,negated_conjecture,
    ( c3_1(a2435)
    | $false ),
    inference(rw,[status(thm)],[60,578250,theory(equality)]) ).

cnf(578648,negated_conjecture,
    c3_1(a2435),
    inference(cn,[status(thm)],[578647,theory(equality)]) ).

cnf(578691,negated_conjecture,
    ( ~ hskp17
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[550643,578405,theory(equality)]) ).

cnf(578692,negated_conjecture,
    ( ~ hskp17
    | ~ hskp1 ),
    inference(cn,[status(thm)],[578691,theory(equality)]) ).

cnf(578785,negated_conjecture,
    ( hskp7
    | ~ hskp3
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[464872,578405,theory(equality)]) ).

cnf(578786,negated_conjecture,
    ( hskp7
    | ~ hskp3
    | ~ hskp1 ),
    inference(cn,[status(thm)],[578785,theory(equality)]) ).

cnf(578872,negated_conjecture,
    ( hskp23
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[375787,578405,theory(equality)]) ).

cnf(578873,negated_conjecture,
    ( hskp23
    | ~ hskp1 ),
    inference(cn,[status(thm)],[578872,theory(equality)]) ).

cnf(578888,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[364340,578405,theory(equality)]) ).

cnf(578889,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2402) ),
    inference(cn,[status(thm)],[578888,theory(equality)]) ).

cnf(578890,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[364045,578405,theory(equality)]) ).

cnf(578891,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2402) ),
    inference(cn,[status(thm)],[578890,theory(equality)]) ).

cnf(578892,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[363473,578405,theory(equality)]) ).

cnf(578893,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(a2402) ),
    inference(cn,[status(thm)],[578892,theory(equality)]) ).

cnf(578900,negated_conjecture,
    ( c1_1(a2408)
    | ~ hskp5
    | ~ c2_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[362373,578405,theory(equality)]) ).

cnf(578901,negated_conjecture,
    ( c1_1(a2408)
    | ~ hskp5
    | ~ c2_1(a2402) ),
    inference(cn,[status(thm)],[578900,theory(equality)]) ).

cnf(578942,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(a2450)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[75579,578405,theory(equality)]) ).

cnf(578943,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(a2450)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[578942,theory(equality)]) ).

cnf(578948,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[70881,578405,theory(equality)]) ).

cnf(578949,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[578948,theory(equality)]) ).

cnf(578950,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[69473,578405,theory(equality)]) ).

cnf(578951,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[578950,theory(equality)]) ).

cnf(578960,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[61987,578405,theory(equality)]) ).

cnf(578961,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ hskp15
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[578960,theory(equality)]) ).

cnf(578974,negated_conjecture,
    ( ~ c2_1(a2402)
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[53746,578405,theory(equality)]) ).

cnf(578975,negated_conjecture,
    ( ~ c2_1(a2402)
    | ~ hskp1 ),
    inference(cn,[status(thm)],[578974,theory(equality)]) ).

cnf(578989,negated_conjecture,
    ( c2_1(a2402)
    | hskp1
    | ~ hskp17
    | $false ),
    inference(rw,[status(thm)],[34643,578405,theory(equality)]) ).

cnf(578990,negated_conjecture,
    ( c2_1(a2402)
    | hskp1
    | ~ hskp17 ),
    inference(cn,[status(thm)],[578989,theory(equality)]) ).

cnf(578991,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | ~ c2_1(a2402)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[33632,578405,theory(equality)]) ).

cnf(578992,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X1)
    | ~ c2_1(a2402)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[578991,theory(equality)]) ).

cnf(579005,negated_conjecture,
    ( hskp29
    | c1_1(a2455)
    | ~ hskp23
    | $false ),
    inference(rw,[status(thm)],[25831,578405,theory(equality)]) ).

cnf(579006,negated_conjecture,
    ( hskp29
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(cn,[status(thm)],[579005,theory(equality)]) ).

cnf(579007,negated_conjecture,
    ( hskp29
    | ~ hskp12
    | ~ c2_1(a2417)
    | $false ),
    inference(rw,[status(thm)],[25622,578405,theory(equality)]) ).

cnf(579008,negated_conjecture,
    ( hskp29
    | ~ hskp12
    | ~ c2_1(a2417) ),
    inference(cn,[status(thm)],[579007,theory(equality)]) ).

cnf(579009,negated_conjecture,
    ( hskp29
    | ~ hskp9
    | $false ),
    inference(rw,[status(thm)],[25395,578405,theory(equality)]) ).

cnf(579010,negated_conjecture,
    ( hskp29
    | ~ hskp9 ),
    inference(cn,[status(thm)],[579009,theory(equality)]) ).

cnf(579014,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ c2_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[4123,578405,theory(equality)]) ).

cnf(579015,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ c2_1(a2402) ),
    inference(cn,[status(thm)],[579014,theory(equality)]) ).

cnf(579018,negated_conjecture,
    ( ~ c1_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[138,578405,theory(equality)]) ).

cnf(579019,negated_conjecture,
    ~ c1_1(a2402),
    inference(cn,[status(thm)],[579018,theory(equality)]) ).

cnf(579022,negated_conjecture,
    ( c0_1(a2402)
    | $false ),
    inference(rw,[status(thm)],[140,578405,theory(equality)]) ).

cnf(579023,negated_conjecture,
    c0_1(a2402),
    inference(cn,[status(thm)],[579022,theory(equality)]) ).

cnf(579384,negated_conjecture,
    ( c2_1(a2435)
    | ~ hskp5
    | ~ hskp4
    | ~ c1_1(a2408)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[578646,69711,theory(equality)]) ).

cnf(579478,negated_conjecture,
    ( ~ hskp5
    | ~ hskp4
    | ~ c1_1(a2408)
    | ~ c1_1(a2435) ),
    inference(sr,[status(thm)],[579384,578644,theory(equality)]) ).

cnf(580950,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp3 ),
    inference(csr,[status(thm)],[578413,578786]) ).

cnf(581341,negated_conjecture,
    ( c1_1(a2435)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[578600,578692]) ).

cnf(582784,negated_conjecture,
    ( c2_1(a2402)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[578990,578692]) ).

cnf(582891,negated_conjecture,
    ( ~ hskp22
    | ~ hskp17 ),
    inference(spm,[status(thm)],[578889,582784,theory(equality)]) ).

cnf(583111,negated_conjecture,
    ( hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[582891,555025,theory(equality)]) ).

cnf(583289,negated_conjecture,
    ( hskp15
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[579015,427918]) ).

cnf(584723,negated_conjecture,
    ( c1_1(a2408)
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[578901,582784,theory(equality)]) ).

cnf(584724,negated_conjecture,
    ( c1_1(a2408)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[584723,583111]) ).

cnf(585946,negated_conjecture,
    ( hskp4
    | ~ hskp12
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[578468,578466]) ).

cnf(585947,negated_conjecture,
    ( hskp4
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[585946,515902]) ).

cnf(589214,negated_conjecture,
    ( hskp12
    | c2_1(a2435)
    | c0_1(a2435)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[578553,578648,theory(equality)]) ).

cnf(589345,negated_conjecture,
    ( hskp12
    | c0_1(a2435)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(sr,[status(thm)],[589214,578644,theory(equality)]) ).

cnf(589346,negated_conjecture,
    ( hskp12
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(sr,[status(thm)],[589345,578646,theory(equality)]) ).

cnf(590966,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[578590,589346]) ).

cnf(590974,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(a2455)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[590966,48,theory(equality)]) ).

cnf(593694,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ c2_1(a2402)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[578992,578975]) ).

cnf(593700,negated_conjecture,
    ( c2_1(a2422)
    | c1_1(a2422)
    | ~ c2_1(a2402)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[593694,79,theory(equality)]) ).

cnf(594200,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(a2435)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[578646,578951,theory(equality)]) ).

cnf(594413,negated_conjecture,
    ( c2_1(a2402)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2435) ),
    inference(sr,[status(thm)],[594200,578644,theory(equality)]) ).

cnf(594545,negated_conjecture,
    ( ~ hskp5
    | ~ hskp4
    | ~ c1_1(a2408)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[579478,581341,theory(equality)]) ).

cnf(594706,negated_conjecture,
    ( ~ hskp17
    | ~ hskp5
    | ~ hskp4 ),
    inference(csr,[status(thm)],[594545,584724]) ).

cnf(594707,negated_conjecture,
    ( ~ hskp17
    | ~ hskp5 ),
    inference(csr,[status(thm)],[594706,578262]) ).

cnf(594708,negated_conjecture,
    ~ hskp17,
    inference(csr,[status(thm)],[594707,583111]) ).

cnf(594877,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[578961,583289]) ).

cnf(594880,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp2
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(a2404) ),
    inference(spm,[status(thm)],[130,594877,theory(equality)]) ).

cnf(597769,negated_conjecture,
    ( c2_1(a2422)
    | c1_1(a2422)
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[593700,583289]) ).

cnf(598435,negated_conjecture,
    ( hskp4
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2435) ),
    inference(spm,[status(thm)],[585947,594413,theory(equality)]) ).

cnf(598598,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a2408)
    | ~ c1_1(a2435) ),
    inference(csr,[status(thm)],[598435,579478]) ).

cnf(598601,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp5
    | ~ c1_1(a2408)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[598598,578484,theory(equality)]) ).

cnf(598609,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29
    | ~ hskp5 ),
    inference(csr,[status(thm)],[598601,522516]) ).

cnf(598610,negated_conjecture,
    ( c1_1(a2409)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[598609,539885]) ).

cnf(600928,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a2409)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[58954,598610]) ).

cnf(600929,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[600928,23]) ).

cnf(600931,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp29
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[134,600929,theory(equality)]) ).

cnf(618653,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp29
    | ~ hskp12
    | ~ hskp2
    | ~ c2_1(a2417)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[64788,598610]) ).

cnf(618654,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp29
    | ~ hskp2
    | ~ c2_1(a2417)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[618653,548612]) ).

cnf(618655,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp29
    | ~ c2_1(a2417)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[618654,221016]) ).

cnf(621782,negated_conjecture,
    ( c2_1(a2404)
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c0_1(a2404) ),
    inference(csr,[status(thm)],[594880,363983]) ).

cnf(621783,negated_conjecture,
    ( c2_1(a2404)
    | hskp18
    | hskp17
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c1_1(a2404) ),
    inference(spm,[status(thm)],[621782,1601,theory(equality)]) ).

cnf(621846,negated_conjecture,
    ( c2_1(a2404)
    | c1_1(a2404)
    | ~ c2_1(a2402)
    | ~ c0_1(a2422) ),
    inference(spm,[status(thm)],[621782,578893,theory(equality)]) ).

cnf(621857,negated_conjecture,
    ( c2_1(a2404)
    | hskp18
    | ~ c2_1(a2402)
    | ~ c0_1(a2422)
    | ~ c1_1(a2404) ),
    inference(sr,[status(thm)],[621783,594708,theory(equality)]) ).

cnf(623839,negated_conjecture,
    ( hskp18
    | c2_1(a2404)
    | ~ c2_1(a2402)
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[621857,621846]) ).

cnf(623840,negated_conjecture,
    ( c2_1(a2404)
    | ~ c2_1(a2402)
    | ~ c0_1(a2422) ),
    inference(csr,[status(thm)],[623839,578891]) ).

cnf(623841,negated_conjecture,
    ( c2_1(a2404)
    | hskp18
    | hskp17
    | c2_1(a2422)
    | ~ c2_1(a2402)
    | ~ c1_1(a2422) ),
    inference(spm,[status(thm)],[623840,1601,theory(equality)]) ).

cnf(623914,negated_conjecture,
    ( c2_1(a2404)
    | hskp18
    | c2_1(a2422)
    | ~ c2_1(a2402)
    | ~ c1_1(a2422) ),
    inference(sr,[status(thm)],[623841,594708,theory(equality)]) ).

cnf(624128,negated_conjecture,
    ( hskp18
    | c2_1(a2404)
    | c2_1(a2422)
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[623914,597769]) ).

cnf(624129,negated_conjecture,
    ( c2_1(a2404)
    | c2_1(a2422)
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[624128,578891]) ).

cnf(624130,negated_conjecture,
    ( c2_1(a2422)
    | ~ hskp2
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[131,624129,theory(equality)]) ).

cnf(624191,negated_conjecture,
    ( c2_1(a2422)
    | ~ c2_1(a2402) ),
    inference(csr,[status(thm)],[624130,363983]) ).

cnf(624192,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2402) ),
    inference(spm,[status(thm)],[78,624191,theory(equality)]) ).

cnf(624256,negated_conjecture,
    ~ c2_1(a2402),
    inference(csr,[status(thm)],[624192,583289]) ).

cnf(626470,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(a2403)
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[600931,136]) ).

cnf(626471,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp29
    | ~ hskp1 ),
    inference(csr,[status(thm)],[626470,135]) ).

cnf(632756,negated_conjecture,
    ( c2_1(a2403)
    | c0_1(a2403)
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[85640,578873]) ).

cnf(632757,negated_conjecture,
    ( c0_1(a2403)
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[632756,135]) ).

cnf(632763,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp1
    | ~ hskp12
    | ~ c1_1(a2455) ),
    inference(spm,[status(thm)],[2435,632757,theory(equality)]) ).

cnf(632923,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp29
    | ~ hskp12
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[632763,579006,theory(equality)]) ).

cnf(633507,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp6
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[632923,412849]) ).

cnf(633508,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[633507,626471]) ).

cnf(634046,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp23
    | ~ hskp12
    | ~ hskp2
    | ~ c1_1(a2455) ),
    inference(csr,[status(thm)],[85641,131]) ).

cnf(640538,negated_conjecture,
    ( c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp29
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[88937,598610]) ).

cnf(640539,negated_conjecture,
    ( c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp29
    | ~ hskp2 ),
    inference(csr,[status(thm)],[640538,548612]) ).

cnf(640540,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp29
    | ~ hskp2 ),
    inference(csr,[status(thm)],[640539,131]) ).

cnf(640678,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp29
    | ~ c2_1(a2417)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[618655,640540,theory(equality)]) ).

cnf(640689,negated_conjecture,
    ( c2_1(a2404)
    | ~ hskp29
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[640678,221016]) ).

cnf(640690,negated_conjecture,
    ( ~ hskp2
    | ~ hskp29
    | ~ c2_1(a2417) ),
    inference(spm,[status(thm)],[131,640689,theory(equality)]) ).

cnf(640749,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a2417) ),
    inference(csr,[status(thm)],[640690,221016]) ).

cnf(640926,negated_conjecture,
    ( c2_1(a2428)
    | c0_1(a2428)
    | ~ hskp29
    | ~ hskp18
    | ~ hskp12 ),
    inference(csr,[status(thm)],[88943,598610]) ).

cnf(640927,negated_conjecture,
    ( c2_1(a2428)
    | c0_1(a2428)
    | ~ hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[640926,548612]) ).

cnf(640928,negated_conjecture,
    ( c2_1(a2428)
    | ~ hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[640927,68]) ).

cnf(640929,negated_conjecture,
    ( ~ hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[640928,67]) ).

cnf(641209,negated_conjecture,
    ( c2_1(a2404)
    | c1_1(a2455)
    | ~ hskp29
    | ~ hskp23
    | ~ hskp2 ),
    inference(csr,[status(thm)],[89445,598610]) ).

cnf(641210,negated_conjecture,
    ( c2_1(a2404)
    | c1_1(a2455)
    | ~ hskp23
    | ~ hskp2 ),
    inference(csr,[status(thm)],[641209,579006]) ).

cnf(641211,negated_conjecture,
    ( c2_1(a2404)
    | c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[641210,31956]) ).

cnf(641212,negated_conjecture,
    ( c1_1(a2455)
    | ~ hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[131,641211,theory(equality)]) ).

cnf(641278,negated_conjecture,
    ( c1_1(a2455)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[641212,31956]) ).

cnf(666965,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[316881,381018]) ).

cnf(666973,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[666965,63,theory(equality)]) ).

cnf(667653,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | c0_1(a2432)
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[666973,377028]) ).

cnf(667654,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | ~ hskp19
    | ~ c2_1(a2432) ),
    inference(spm,[status(thm)],[62,667653,theory(equality)]) ).

cnf(667787,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | ~ c2_1(a2432) ),
    inference(csr,[status(thm)],[667654,377028]) ).

cnf(667788,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | hskp18
    | hskp17
    | ~ hskp19 ),
    inference(spm,[status(thm)],[667787,3152,theory(equality)]) ).

cnf(667803,negated_conjecture,
    ( hskp2
    | c1_1(a2413)
    | hskp18
    | ~ hskp19 ),
    inference(sr,[status(thm)],[667788,594708,theory(equality)]) ).

cnf(667805,negated_conjecture,
    ( hskp18
    | hskp2
    | c1_1(a2413) ),
    inference(csr,[status(thm)],[667803,377028]) ).

cnf(667806,negated_conjecture,
    ( hskp2
    | c1_1(a2413) ),
    inference(csr,[status(thm)],[667805,428846]) ).

cnf(667807,negated_conjecture,
    ( hskp2
    | ~ hskp9 ),
    inference(spm,[status(thm)],[102,667806,theory(equality)]) ).

cnf(667858,negated_conjecture,
    hskp2,
    inference(csr,[status(thm)],[667807,381018]) ).

cnf(667876,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp29
    | $false ),
    inference(rw,[status(thm)],[640540,667858,theory(equality)]) ).

cnf(667877,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp29 ),
    inference(cn,[status(thm)],[667876,theory(equality)]) ).

cnf(667880,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp23
    | ~ hskp12
    | $false
    | ~ c1_1(a2455) ),
    inference(rw,[status(thm)],[634046,667858,theory(equality)]) ).

cnf(667881,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp23
    | ~ hskp12
    | ~ c1_1(a2455) ),
    inference(cn,[status(thm)],[667880,theory(equality)]) ).

cnf(667998,negated_conjecture,
    ( $false
    | ~ c2_1(a2404) ),
    inference(rw,[status(thm)],[131,667858,theory(equality)]) ).

cnf(667999,negated_conjecture,
    ~ c2_1(a2404),
    inference(cn,[status(thm)],[667998,theory(equality)]) ).

cnf(668000,negated_conjecture,
    ( $false
    | ~ c1_1(a2404) ),
    inference(rw,[status(thm)],[132,667858,theory(equality)]) ).

cnf(668001,negated_conjecture,
    ~ c1_1(a2404),
    inference(cn,[status(thm)],[668000,theory(equality)]) ).

cnf(668002,negated_conjecture,
    ( $false
    | ~ c3_1(a2404) ),
    inference(rw,[status(thm)],[130,667858,theory(equality)]) ).

cnf(668003,negated_conjecture,
    ~ c3_1(a2404),
    inference(cn,[status(thm)],[668002,theory(equality)]) ).

cnf(668352,negated_conjecture,
    ( hskp6
    | c2_1(a2404)
    | c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c3_1(a2404)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[12353,667877,theory(equality)]) ).

cnf(668475,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c3_1(a2404)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(sr,[status(thm)],[668352,667999,theory(equality)]) ).

cnf(668476,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(sr,[status(thm)],[668475,668003,theory(equality)]) ).

cnf(670619,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp23
    | ~ hskp12 ),
    inference(csr,[status(thm)],[667881,641278]) ).

cnf(678509,negated_conjecture,
    ( c2_1(a2403)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[86934,136]) ).

cnf(678510,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[678509,135]) ).

cnf(678512,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2402)
    | c1_1(a2402)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[678510,579023,theory(equality)]) ).

cnf(678672,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2402)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[678512,624256,theory(equality)]) ).

cnf(678673,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[678672,579019,theory(equality)]) ).

cnf(683169,negated_conjecture,
    ( hskp6
    | c2_1(a2435)
    | hskp1
    | c1_1(a2435)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[578646,668476,theory(equality)]) ).

cnf(683388,negated_conjecture,
    ( hskp6
    | hskp1
    | c1_1(a2435)
    | ~ hskp29 ),
    inference(sr,[status(thm)],[683169,578644,theory(equality)]) ).

cnf(683444,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp6
    | hskp1
    | ~ hskp29 ),
    inference(spm,[status(thm)],[578632,683388,theory(equality)]) ).

cnf(683511,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp1
    | ~ hskp29 ),
    inference(sr,[status(thm)],[683444,594708,theory(equality)]) ).

cnf(683526,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp29 ),
    inference(csr,[status(thm)],[683511,640929]) ).

cnf(683531,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[683526,579010,theory(equality)]) ).

cnf(683542,negated_conjecture,
    ( hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[683531,377029]) ).

cnf(691582,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(a2403)
    | ~ hskp1
    | ~ hskp28
    | ~ hskp12
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[2435,678673,theory(equality)]) ).

cnf(696428,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(a2403)
    | ~ hskp28
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[691582,136]) ).

cnf(696429,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(a2403)
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[696428,633508]) ).

cnf(696430,negated_conjecture,
    ( hskp26
    | hskp6
    | c2_1(a2403)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[696429,683542]) ).

cnf(696431,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[135,696430,theory(equality)]) ).

cnf(696473,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[696431,683542]) ).

cnf(696479,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[464225,696473,theory(equality)]) ).

cnf(698671,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[590974,641278]) ).

cnf(698673,negated_conjecture,
    ( hskp12
    | c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[668003,698671,theory(equality)]) ).

cnf(698674,negated_conjecture,
    ( hskp12
    | c2_1(a2403)
    | c0_1(a2403)
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[134,698671,theory(equality)]) ).

cnf(698745,negated_conjecture,
    ( hskp12
    | c0_1(a2404)
    | ~ hskp23 ),
    inference(sr,[status(thm)],[698673,667999,theory(equality)]) ).

cnf(698747,negated_conjecture,
    ( c0_1(a2404)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[698745,670619]) ).

cnf(698971,negated_conjecture,
    ( hskp12
    | c2_1(a2403)
    | c0_1(a2403)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[698674,578873]) ).

cnf(698972,negated_conjecture,
    ( hskp12
    | c2_1(a2403)
    | c0_1(a2403) ),
    inference(csr,[status(thm)],[698971,479288]) ).

cnf(699067,negated_conjecture,
    ( hskp12
    | c2_1(a2403)
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[589346,698972,theory(equality)]) ).

cnf(699104,negated_conjecture,
    ( hskp12
    | ~ hskp1
    | ~ c1_1(a2403) ),
    inference(spm,[status(thm)],[135,699067,theory(equality)]) ).

cnf(699269,negated_conjecture,
    ( hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[699104,136]) ).

cnf(699270,negated_conjecture,
    hskp12,
    inference(csr,[status(thm)],[699269,479288]) ).

cnf(699277,negated_conjecture,
    ( hskp30
    | hskp6
    | $false ),
    inference(rw,[status(thm)],[696479,699270,theory(equality)]) ).

cnf(699278,negated_conjecture,
    ( hskp30
    | hskp6 ),
    inference(cn,[status(thm)],[699277,theory(equality)]) ).

cnf(699412,negated_conjecture,
    ( hskp29
    | $false
    | ~ c2_1(a2417) ),
    inference(rw,[status(thm)],[579008,699270,theory(equality)]) ).

cnf(699413,negated_conjecture,
    ( hskp29
    | ~ c2_1(a2417) ),
    inference(cn,[status(thm)],[699412,theory(equality)]) ).

cnf(699463,negated_conjecture,
    ( hskp30
    | hskp9
    | $false ),
    inference(rw,[status(thm)],[382371,699270,theory(equality)]) ).

cnf(699464,negated_conjecture,
    ( hskp30
    | hskp9 ),
    inference(cn,[status(thm)],[699463,theory(equality)]) ).

cnf(699516,negated_conjecture,
    ( $false
    | ~ c1_1(a2417) ),
    inference(rw,[status(thm)],[90,699270,theory(equality)]) ).

cnf(699517,negated_conjecture,
    ~ c1_1(a2417),
    inference(cn,[status(thm)],[699516,theory(equality)]) ).

cnf(699518,negated_conjecture,
    ( $false
    | ~ c0_1(a2417) ),
    inference(rw,[status(thm)],[91,699270,theory(equality)]) ).

cnf(699519,negated_conjecture,
    ~ c0_1(a2417),
    inference(cn,[status(thm)],[699518,theory(equality)]) ).

cnf(699520,negated_conjecture,
    ( c3_1(a2417)
    | $false ),
    inference(rw,[status(thm)],[92,699270,theory(equality)]) ).

cnf(699521,negated_conjecture,
    c3_1(a2417),
    inference(cn,[status(thm)],[699520,theory(equality)]) ).

cnf(700305,negated_conjecture,
    ~ c2_1(a2417),
    inference(csr,[status(thm)],[699413,640749]) ).

cnf(713354,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp19
    | ~ hskp13
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[139661,88]) ).

cnf(713355,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp13
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[713354,421002]) ).

cnf(713358,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(a2417)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(a2417)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[713355,699521,theory(equality)]) ).

cnf(713465,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(a2417)
    | ~ hskp13 ),
    inference(sr,[status(thm)],[713358,699517,theory(equality)]) ).

cnf(713466,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp13 ),
    inference(sr,[status(thm)],[713465,699519,theory(equality)]) ).

cnf(713468,negated_conjecture,
    ( hskp30
    | c2_1(a2404)
    | c0_1(a2404)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[668003,713466,theory(equality)]) ).

cnf(713542,negated_conjecture,
    ( hskp30
    | c0_1(a2404)
    | ~ hskp13 ),
    inference(sr,[status(thm)],[713468,667999,theory(equality)]) ).

cnf(713551,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2404)
    | c1_1(a2404)
    | c0_1(X1)
    | hskp30
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[5342,713542,theory(equality)]) ).

cnf(713663,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2404)
    | c0_1(X1)
    | hskp30
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp13 ),
    inference(sr,[status(thm)],[713551,667999,theory(equality)]) ).

cnf(713664,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp30
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp13 ),
    inference(sr,[status(thm)],[713663,668001,theory(equality)]) ).

cnf(714053,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp13
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[713664,699278]) ).

cnf(714057,negated_conjecture,
    ( hskp30
    | c2_1(a2413)
    | ~ hskp9
    | ~ hskp13
    | ~ c1_1(a2413) ),
    inference(spm,[status(thm)],[103,714053,theory(equality)]) ).

cnf(714383,negated_conjecture,
    ( hskp30
    | c2_1(a2413)
    | ~ hskp13
    | ~ hskp9 ),
    inference(csr,[status(thm)],[714057,104]) ).

cnf(714384,negated_conjecture,
    ( hskp30
    | c2_1(a2413)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[714383,104]) ).

cnf(714385,negated_conjecture,
    ( hskp30
    | c2_1(a2413) ),
    inference(csr,[status(thm)],[714384,699464]) ).

cnf(714409,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a2413)
    | c0_1(X1)
    | c0_1(a2413) ),
    inference(spm,[status(thm)],[420958,714385,theory(equality)]) ).

cnf(714521,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(a2413)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[103,714409,theory(equality)]) ).

cnf(718169,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c1_1(a2413)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[714521,699464]) ).

cnf(718171,negated_conjecture,
    ( hskp30
    | c2_1(a2417)
    | c1_1(a2413)
    | c1_1(a2417) ),
    inference(spm,[status(thm)],[699519,718169,theory(equality)]) ).

cnf(718343,negated_conjecture,
    ( hskp30
    | c1_1(a2413)
    | c1_1(a2417) ),
    inference(sr,[status(thm)],[718171,700305,theory(equality)]) ).

cnf(718344,negated_conjecture,
    ( hskp30
    | c1_1(a2413) ),
    inference(sr,[status(thm)],[718343,699517,theory(equality)]) ).

cnf(718359,negated_conjecture,
    ( hskp30
    | ~ hskp9 ),
    inference(spm,[status(thm)],[102,718344,theory(equality)]) ).

cnf(718377,negated_conjecture,
    hskp30,
    inference(csr,[status(thm)],[718359,699464]) ).

cnf(718541,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | $false
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[578943,718377,theory(equality)]) ).

cnf(718542,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[718541,theory(equality)]) ).

cnf(718543,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[718542,624256,theory(equality)]) ).

cnf(718580,negated_conjecture,
    ( $false
    | ~ c2_1(a2450)
    | ~ hskp1 ),
    inference(rw,[status(thm)],[557202,718377,theory(equality)]) ).

cnf(718581,negated_conjecture,
    ( ~ c2_1(a2450)
    | ~ hskp1 ),
    inference(cn,[status(thm)],[718580,theory(equality)]) ).

cnf(718598,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | $false
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[302272,718377,theory(equality)]) ).

cnf(718599,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp21
    | ~ c2_1(a2450)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[718598,theory(equality)]) ).

cnf(718624,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | $false
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[8063,718377,theory(equality)]) ).

cnf(718625,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[718624,theory(equality)]) ).

cnf(718648,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | $false
    | ~ c0_1(X2) ),
    inference(rw,[status(thm)],[8484,718377,theory(equality)]) ).

cnf(718649,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[718648,theory(equality)]) ).

cnf(721792,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(a2450)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[718599,432256]) ).

cnf(721813,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c2_1(a2414)
    | c1_1(X1)
    | c3_1(a2414)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[718625,421037,theory(equality)]) ).

cnf(721919,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c2_1(a2414)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[721813,421035,theory(equality)]) ).

cnf(722196,negated_conjecture,
    ( hskp6
    | c2_1(a2414)
    | c2_1(a2417)
    | c1_1(a2417) ),
    inference(spm,[status(thm)],[699519,721919,theory(equality)]) ).

cnf(722308,negated_conjecture,
    ( hskp6
    | c2_1(a2414)
    | c1_1(a2417) ),
    inference(sr,[status(thm)],[722196,700305,theory(equality)]) ).

cnf(722309,negated_conjecture,
    ( hskp6
    | c2_1(a2414) ),
    inference(sr,[status(thm)],[722308,699517,theory(equality)]) ).

cnf(722343,negated_conjecture,
    ( hskp6
    | ~ hskp29
    | ~ hskp1 ),
    inference(spm,[status(thm)],[462735,722309,theory(equality)]) ).

cnf(722386,negated_conjecture,
    ( hskp6
    | ~ hskp29 ),
    inference(csr,[status(thm)],[722343,683542]) ).

cnf(722391,negated_conjecture,
    ( hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[722386,579010,theory(equality)]) ).

cnf(722750,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[718649,718543]) ).

cnf(722823,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2404)
    | c2_1(X1)
    | c3_1(a2404)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[722750,667877,theory(equality)]) ).

cnf(722835,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2404)
    | c2_1(X1)
    | c3_1(a2404)
    | c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[722750,698747,theory(equality)]) ).

cnf(722866,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c3_1(a2404)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(sr,[status(thm)],[722823,667999,theory(equality)]) ).

cnf(722867,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp29 ),
    inference(sr,[status(thm)],[722866,668003,theory(equality)]) ).

cnf(722874,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c3_1(a2404)
    | c0_1(X1)
    | ~ hskp23 ),
    inference(sr,[status(thm)],[722835,667999,theory(equality)]) ).

cnf(722875,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp23 ),
    inference(sr,[status(thm)],[722874,668003,theory(equality)]) ).

cnf(723740,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2435)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[578646,722867,theory(equality)]) ).

cnf(723846,negated_conjecture,
    ( c2_1(a2450)
    | ~ hskp29 ),
    inference(sr,[status(thm)],[723740,578644,theory(equality)]) ).

cnf(724057,negated_conjecture,
    ( c2_1(a2450)
    | c2_1(a2435)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[578646,722875,theory(equality)]) ).

cnf(724163,negated_conjecture,
    ( c2_1(a2450)
    | ~ hskp23 ),
    inference(sr,[status(thm)],[724057,578644,theory(equality)]) ).

cnf(724200,negated_conjecture,
    ( ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[718581,724163,theory(equality)]) ).

cnf(724255,negated_conjecture,
    ~ hskp1,
    inference(csr,[status(thm)],[724200,578873]) ).

cnf(724259,negated_conjecture,
    hskp9,
    inference(sr,[status(thm)],[377029,724255,theory(equality)]) ).

cnf(724364,negated_conjecture,
    ( hskp6
    | $false ),
    inference(rw,[status(thm)],[722391,724259,theory(equality)]) ).

cnf(724365,negated_conjecture,
    hskp6,
    inference(cn,[status(thm)],[724364,theory(equality)]) ).

cnf(724388,negated_conjecture,
    ( hskp29
    | $false ),
    inference(rw,[status(thm)],[579010,724259,theory(equality)]) ).

cnf(724389,negated_conjecture,
    hskp29,
    inference(cn,[status(thm)],[724388,theory(equality)]) ).

cnf(724404,negated_conjecture,
    ( $false
    | ~ c1_1(a2413) ),
    inference(rw,[status(thm)],[102,724259,theory(equality)]) ).

cnf(724405,negated_conjecture,
    ~ c1_1(a2413),
    inference(cn,[status(thm)],[724404,theory(equality)]) ).

cnf(724406,negated_conjecture,
    ( $false
    | ~ c0_1(a2413) ),
    inference(rw,[status(thm)],[103,724259,theory(equality)]) ).

cnf(724407,negated_conjecture,
    ~ c0_1(a2413),
    inference(cn,[status(thm)],[724406,theory(equality)]) ).

cnf(724408,negated_conjecture,
    ( c2_1(a2413)
    | $false ),
    inference(rw,[status(thm)],[104,724259,theory(equality)]) ).

cnf(724409,negated_conjecture,
    c2_1(a2413),
    inference(cn,[status(thm)],[724408,theory(equality)]) ).

cnf(724481,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | $false
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[578949,724365,theory(equality)]) ).

cnf(724482,negated_conjecture,
    ( c2_1(a2402)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[724481,theory(equality)]) ).

cnf(724483,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[724482,624256,theory(equality)]) ).

cnf(724556,negated_conjecture,
    ( c2_1(a2450)
    | $false ),
    inference(rw,[status(thm)],[723846,724389,theory(equality)]) ).

cnf(724557,negated_conjecture,
    c2_1(a2450),
    inference(cn,[status(thm)],[724556,theory(equality)]) ).

cnf(724587,negated_conjecture,
    ( c1_1(a2409)
    | $false ),
    inference(rw,[status(thm)],[598610,724389,theory(equality)]) ).

cnf(724588,negated_conjecture,
    c1_1(a2409),
    inference(cn,[status(thm)],[724587,theory(equality)]) ).

cnf(724628,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | $false
    | ~ c1_1(a2409)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[5058,724389,theory(equality)]) ).

cnf(724629,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c1_1(a2409)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[724628,theory(equality)]) ).

cnf(724924,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | $false
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[721792,724557,theory(equality)]) ).

cnf(724925,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[724924,theory(equality)]) ).

cnf(726762,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(a2413)
    | c3_1(X1)
    | c0_1(a2413) ),
    inference(spm,[status(thm)],[724925,724409,theory(equality)]) ).

cnf(726803,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(a2413) ),
    inference(sr,[status(thm)],[726762,724405,theory(equality)]) ).

cnf(726804,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c3_1(X1) ),
    inference(sr,[status(thm)],[726803,724407,theory(equality)]) ).

cnf(726824,negated_conjecture,
    ( hskp3
    | c2_1(a2404) ),
    inference(spm,[status(thm)],[668003,726804,theory(equality)]) ).

cnf(726854,negated_conjecture,
    hskp3,
    inference(sr,[status(thm)],[726824,667999,theory(equality)]) ).

cnf(726888,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | $false ),
    inference(rw,[status(thm)],[580950,726854,theory(equality)]) ).

cnf(726889,negated_conjecture,
    ( hskp7
    | ~ hskp23 ),
    inference(cn,[status(thm)],[726888,theory(equality)]) ).

cnf(726920,negated_conjecture,
    ( hskp14
    | ~ hskp7
    | $false
    | ~ c1_1(a2405) ),
    inference(rw,[status(thm)],[27597,726854,theory(equality)]) ).

cnf(726921,negated_conjecture,
    ( hskp14
    | ~ hskp7
    | ~ c1_1(a2405) ),
    inference(cn,[status(thm)],[726920,theory(equality)]) ).

cnf(726926,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | $false
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[8668,726854,theory(equality)]) ).

cnf(726927,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[726926,theory(equality)]) ).

cnf(727050,negated_conjecture,
    ( hskp7
    | hskp14 ),
    inference(spm,[status(thm)],[726889,516895,theory(equality)]) ).

cnf(727114,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | $false
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[724629,724588,theory(equality)]) ).

cnf(727115,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[727114,theory(equality)]) ).

cnf(727246,negated_conjecture,
    ( hskp14
    | ~ c1_1(a2405) ),
    inference(csr,[status(thm)],[726921,727050]) ).

cnf(727364,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[726927,724483]) ).

cnf(727365,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c1_1(a2413)
    | c0_1(a2413)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[727364,724409,theory(equality)]) ).

cnf(727406,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c0_1(a2413)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[727365,724405,theory(equality)]) ).

cnf(727407,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2405)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[727406,724407,theory(equality)]) ).

cnf(727424,negated_conjecture,
    ( c2_1(a2435)
    | c1_1(a2405) ),
    inference(spm,[status(thm)],[578646,727407,theory(equality)]) ).

cnf(727478,negated_conjecture,
    c1_1(a2405),
    inference(sr,[status(thm)],[727424,578644,theory(equality)]) ).

cnf(727495,negated_conjecture,
    ( hskp14
    | $false ),
    inference(rw,[status(thm)],[727246,727478,theory(equality)]) ).

cnf(727496,negated_conjecture,
    hskp14,
    inference(cn,[status(thm)],[727495,theory(equality)]) ).

cnf(727539,negated_conjecture,
    ( hskp19
    | c0_1(a2420)
    | $false ),
    inference(rw,[status(thm)],[420893,727496,theory(equality)]) ).

cnf(727540,negated_conjecture,
    ( hskp19
    | c0_1(a2420) ),
    inference(cn,[status(thm)],[727539,theory(equality)]) ).

cnf(727546,negated_conjecture,
    ( $false
    | ~ c3_1(a2420) ),
    inference(rw,[status(thm)],[82,727496,theory(equality)]) ).

cnf(727547,negated_conjecture,
    ~ c3_1(a2420),
    inference(cn,[status(thm)],[727546,theory(equality)]) ).

cnf(727550,negated_conjecture,
    ( c1_1(a2420)
    | $false ),
    inference(rw,[status(thm)],[84,727496,theory(equality)]) ).

cnf(727551,negated_conjecture,
    c1_1(a2420),
    inference(cn,[status(thm)],[727550,theory(equality)]) ).

cnf(727625,negated_conjecture,
    ( c1_1(X1)
    | c3_1(a2420)
    | c3_1(X1)
    | hskp19
    | ~ c1_1(a2420)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[727115,727540,theory(equality)]) ).

cnf(727644,negated_conjecture,
    ( c1_1(X1)
    | c3_1(a2420)
    | c3_1(X1)
    | hskp19
    | $false
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[727625,727551,theory(equality)]) ).

cnf(727645,negated_conjecture,
    ( c1_1(X1)
    | c3_1(a2420)
    | c3_1(X1)
    | hskp19
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[727644,theory(equality)]) ).

cnf(727646,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp19
    | ~ c0_1(X1) ),
    inference(sr,[status(thm)],[727645,727547,theory(equality)]) ).

cnf(727755,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | ~ c0_1(a2414) ),
    inference(spm,[status(thm)],[421035,727646,theory(equality)]) ).

cnf(727780,negated_conjecture,
    ( hskp19
    | c1_1(a2414)
    | $false ),
    inference(rw,[status(thm)],[727755,421037,theory(equality)]) ).

cnf(727781,negated_conjecture,
    ( hskp19
    | c1_1(a2414) ),
    inference(cn,[status(thm)],[727780,theory(equality)]) ).

cnf(727782,negated_conjecture,
    hskp19,
    inference(sr,[status(thm)],[727781,421033,theory(equality)]) ).

cnf(727823,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | $false
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[35165,727782,theory(equality)]) ).

cnf(727824,negated_conjecture,
    ( c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[727823,theory(equality)]) ).

cnf(727825,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X2) ),
    inference(sr,[status(thm)],[727824,724255,theory(equality)]) ).

cnf(728102,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[727825,724483]) ).

cnf(728103,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2413)
    | c0_1(X1)
    | c0_1(a2413) ),
    inference(spm,[status(thm)],[728102,724409,theory(equality)]) ).

cnf(728128,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(a2413) ),
    inference(sr,[status(thm)],[728103,724405,theory(equality)]) ).

cnf(728129,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[728128,724407,theory(equality)]) ).

cnf(728152,negated_conjecture,
    c2_1(a2435),
    inference(spm,[status(thm)],[578646,728129,theory(equality)]) ).

cnf(728186,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[728152,578644,theory(equality)]) ).

cnf(728187,negated_conjecture,
    $false,
    728186,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN488+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpxA9AfK/sel_SYN488+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpxA9AfK/sel_SYN488+1.p_2 with time limit 81
% -prover status Theorem
% Problem SYN488+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN488+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN488+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
% 
%------------------------------------------------------------------------------