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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN499+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 13:49:14 EST 2010

% Result   : Theorem 11.71s
% Output   : CNFRefutation 11.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  109
%            Number of leaves      :    1
% Syntax   : Number of formulae    : 1212 (  27 unt;   0 def)
%            Number of atoms       : 10898 (   0 equ)
%            Maximal formula atoms :  868 (   8 avg)
%            Number of connectives : 14229 (4543   ~;7884   |;1421   &)
%                                         (   0 <=>; 381  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  333 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   37 (  36 usr;  33 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1327 (   0 sgn 889   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a123)
          & ~ c0_1(a123)
          & ~ c1_1(a123) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a124)
          & c2_1(a124)
          & ~ c3_1(a124) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a125)
          & c2_1(a125)
          & ~ c0_1(a125) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a127)
          & ~ c2_1(a127)
          & ~ c3_1(a127) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a128)
          & c1_1(a128)
          & ~ c3_1(a128) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a130)
          & ~ c1_1(a130)
          & ~ c3_1(a130) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a131)
          & ~ c1_1(a131)
          & ~ c2_1(a131) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a132)
          & ~ c0_1(a132)
          & ~ c2_1(a132) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a134)
          & ~ c0_1(a134)
          & ~ c3_1(a134) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a138)
          & c1_1(a138)
          & ~ c2_1(a138) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a140)
          & ~ c2_1(a140)
          & ~ c3_1(a140) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c1_1(a141)
          & ~ c2_1(a141)
          & ~ c3_1(a141) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a142)
          & c3_1(a142)
          & ~ c1_1(a142) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a143)
          & c3_1(a143)
          & ~ c1_1(a143) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a147)
          & ~ c1_1(a147)
          & ~ c3_1(a147) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a153)
          & c3_1(a153)
          & ~ c0_1(a153) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a154)
          & c3_1(a154)
          & ~ c0_1(a154) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a155)
          & ~ c0_1(a155)
          & ~ c2_1(a155) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a160)
          & ~ c1_1(a160)
          & ~ c2_1(a160) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a164)
          & c3_1(a164)
          & ~ c2_1(a164) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a168)
          & ~ c0_1(a168)
          & ~ c3_1(a168) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a170)
          & c2_1(a170)
          & ~ c1_1(a170) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a176)
          & ~ c1_1(a176)
          & ~ c2_1(a176) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a179)
          & ~ c1_1(a179)
          & ~ c3_1(a179) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a182)
          & ~ c2_1(a182)
          & ~ c3_1(a182) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a189)
          & ~ c0_1(a189)
          & ~ c1_1(a189) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a225)
          & c2_1(a225)
          & ~ c3_1(a225) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a122)
          & c2_1(a122)
          & c3_1(a122) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a133)
          & c2_1(a133)
          & c3_1(a133) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a136)
          & c1_1(a136)
          & c2_1(a136) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a167)
          & c1_1(a167)
          & c3_1(a167) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | ~ c1_1(X3)
              | ~ c3_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | ~ c3_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | ~ c1_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c3_1(X9)
              | ~ c0_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c3_1(X11)
              | ~ c2_1(X11) ) )
        | hskp27 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c3_1(X13)
              | ~ c1_1(X13) ) )
        | hskp0 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | ~ c0_1(X15)
              | ~ c1_1(X15) ) )
        | hskp1 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c2_1(X16) ) )
        | hskp2
        | hskp1 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c3_1(X18)
              | ~ c1_1(X18) ) )
        | hskp3 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | ~ c1_1(X20) ) )
        | hskp4 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c0_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | ~ c0_1(X25)
              | ~ c2_1(X25) ) )
        | hskp27 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp5 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c1_1(X30)
              | ~ c2_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | ~ c0_1(X35)
              | ~ c3_1(X35) ) )
        | hskp6 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c1_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c0_1(X37)
              | ~ c1_1(X37) ) )
        | hskp7 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c1_1(X38)
              | ~ c3_1(X38) ) )
        | hskp28
        | hskp8 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp8 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | c3_1(X41) ) )
        | hskp29
        | hskp7 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | c3_1(X42) ) )
        | hskp9
        | hskp7 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | hskp10
        | hskp11 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c0_1(X46)
              | ~ c3_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c1_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | ~ c0_1(X50) ) )
        | hskp13 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | hskp28 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c1_1(X53) ) )
        | hskp28
        | hskp3 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c2_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | hskp14 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c2_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c0_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp29 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c3_1(X62)
              | ~ c0_1(X62)
              | ~ c2_1(X62) ) )
        | hskp12 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp14
        | hskp7 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp10
        | hskp15 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | c3_1(X65)
              | ~ c1_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c1_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | c3_1(X68)
              | ~ c1_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp16 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | c3_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | c3_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c3_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c1_1(X75)
              | ~ c3_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c1_1(X76)
              | ~ c2_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c1_1(X78)
              | ~ c2_1(X78) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c1_1(X79)
              | ~ c3_1(X79) ) )
        | hskp17
        | hskp0 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c0_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c1_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp29
        | hskp7 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp0
        | hskp18 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c1_1(X86) ) )
        | hskp12 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | c3_1(X87) ) )
        | hskp2
        | hskp16 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c0_1(X88) ) )
        | hskp19
        | hskp17 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp6 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c3_1(X94)
              | ~ c2_1(X94) ) )
        | hskp30
        | hskp20 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c3_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp7 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp21
        | hskp6 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp3
        | hskp15 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) )
        | hskp0
        | hskp7 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp22
        | hskp7 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp8
        | hskp23 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | hskp9 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c1_1(X108)
              | ~ c2_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c2_1(X109)
              | ~ c3_1(X109) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c1_1(X110) ) )
        | hskp15
        | hskp24 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | hskp9
        | hskp22 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp10
        | hskp18 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c3_1(X113) ) )
        | hskp1
        | hskp3 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | ~ c0_1(X114)
              | ~ c3_1(X114) ) )
        | hskp25
        | hskp6 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp17
        | hskp13 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c1_1(X116)
              | ~ c3_1(X116) ) )
        | hskp17
        | hskp24 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c2_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) )
        | hskp15
        | hskp13 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c1_1(X118) ) )
        | hskp12
        | hskp11 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c0_1(X119)
              | ~ c1_1(X119) ) )
        | hskp7
        | hskp24 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp27
        | hskp19 )
      & ( ! [X121] :
            ( ndr1_0
           => ( c3_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | hskp22 )
      & ( ! [X122] :
            ( ndr1_0
           => ( c3_1(X122)
              | ~ c1_1(X122)
              | ~ c2_1(X122) ) )
        | hskp14
        | hskp23 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c2_1(X123) ) )
        | hskp14
        | hskp25 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c1_1(X124)
              | ~ c3_1(X124) ) )
        | hskp22
        | hskp10 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c0_1(X125)
              | ~ c1_1(X125)
              | ~ c3_1(X125) ) )
        | hskp2
        | hskp19 )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) )
        | hskp9
        | hskp8 )
      & ( ! [X127] :
            ( ndr1_0
           => ( ~ c1_1(X127)
              | ~ c2_1(X127)
              | ~ c3_1(X127) ) )
        | hskp3
        | hskp13 )
      & ( hskp30
        | hskp9
        | hskp6 )
      & ( hskp27
        | hskp3
        | hskp15 )
      & ( hskp21
        | hskp20
        | hskp6 )
      & ( hskp26
        | hskp20
        | hskp15 )
      & ( hskp12
        | hskp19
        | hskp13 )
      & ( hskp2
        | hskp19
        | hskp8 ) ),
    file('/tmp/tmpfPSk93/sel_SYN499+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a123)
            & ~ c0_1(a123)
            & ~ c1_1(a123) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a124)
            & c2_1(a124)
            & ~ c3_1(a124) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a125)
            & c2_1(a125)
            & ~ c0_1(a125) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a127)
            & ~ c2_1(a127)
            & ~ c3_1(a127) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a128)
            & c1_1(a128)
            & ~ c3_1(a128) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a130)
            & ~ c1_1(a130)
            & ~ c3_1(a130) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a131)
            & ~ c1_1(a131)
            & ~ c2_1(a131) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a132)
            & ~ c0_1(a132)
            & ~ c2_1(a132) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a134)
            & ~ c0_1(a134)
            & ~ c3_1(a134) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a138)
            & c1_1(a138)
            & ~ c2_1(a138) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a140)
            & ~ c2_1(a140)
            & ~ c3_1(a140) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c1_1(a141)
            & ~ c2_1(a141)
            & ~ c3_1(a141) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a142)
            & c3_1(a142)
            & ~ c1_1(a142) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a143)
            & c3_1(a143)
            & ~ c1_1(a143) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a147)
            & ~ c1_1(a147)
            & ~ c3_1(a147) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a153)
            & c3_1(a153)
            & ~ c0_1(a153) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a154)
            & c3_1(a154)
            & ~ c0_1(a154) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a155)
            & ~ c0_1(a155)
            & ~ c2_1(a155) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a160)
            & ~ c1_1(a160)
            & ~ c2_1(a160) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a164)
            & c3_1(a164)
            & ~ c2_1(a164) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a168)
            & ~ c0_1(a168)
            & ~ c3_1(a168) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a170)
            & c2_1(a170)
            & ~ c1_1(a170) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a176)
            & ~ c1_1(a176)
            & ~ c2_1(a176) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a179)
            & ~ c1_1(a179)
            & ~ c3_1(a179) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a182)
            & ~ c2_1(a182)
            & ~ c3_1(a182) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a189)
            & ~ c0_1(a189)
            & ~ c1_1(a189) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a225)
            & c2_1(a225)
            & ~ c3_1(a225) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a122)
            & c2_1(a122)
            & c3_1(a122) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a133)
            & c2_1(a133)
            & c3_1(a133) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a136)
            & c1_1(a136)
            & c2_1(a136) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a167)
            & c1_1(a167)
            & c3_1(a167) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c3_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c3_1(X11)
                | ~ c2_1(X11) ) )
          | hskp27 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) )
          | hskp0 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c2_1(X16) ) )
          | hskp2
          | hskp1 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c3_1(X18)
                | ~ c1_1(X18) ) )
          | hskp3 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | ~ c1_1(X20) ) )
          | hskp4 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | ~ c2_1(X25) ) )
          | hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp5 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c1_1(X30)
                | ~ c2_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c0_1(X35)
                | ~ c3_1(X35) ) )
          | hskp6 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c1_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c0_1(X37)
                | ~ c1_1(X37) ) )
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp28
          | hskp8 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp8 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | hskp29
          | hskp7 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | c3_1(X42) ) )
          | hskp9
          | hskp7 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | hskp10
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c0_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c0_1(X50) ) )
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp28 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c1_1(X53) ) )
          | hskp28
          | hskp3 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c2_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp14 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c2_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp29 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | ~ c0_1(X62)
                | ~ c2_1(X62) ) )
          | hskp12 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp14
          | hskp7 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp10
          | hskp15 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | c3_1(X65)
                | ~ c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c3_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp16 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | c3_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c1_1(X76)
                | ~ c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c1_1(X78)
                | ~ c2_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) )
          | hskp17
          | hskp0 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp29
          | hskp7 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp0
          | hskp18 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp12 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) )
          | hskp2
          | hskp16 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp19
          | hskp17 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp6 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c2_1(X94) ) )
          | hskp30
          | hskp20 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp7 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp21
          | hskp6 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp3
          | hskp15 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp0
          | hskp7 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp22
          | hskp7 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp8
          | hskp23 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp9 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c1_1(X110) ) )
          | hskp15
          | hskp24 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | hskp9
          | hskp22 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp10
          | hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c3_1(X113) ) )
          | hskp1
          | hskp3 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c0_1(X114)
                | ~ c3_1(X114) ) )
          | hskp25
          | hskp6 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp17
          | hskp13 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp17
          | hskp24 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp15
          | hskp13 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) )
          | hskp12
          | hskp11 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c0_1(X119)
                | ~ c1_1(X119) ) )
          | hskp7
          | hskp24 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp27
          | hskp19 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | hskp22 )
        & ( ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) )
          | hskp14
          | hskp23 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) )
          | hskp14
          | hskp25 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c1_1(X124)
                | ~ c3_1(X124) ) )
          | hskp22
          | hskp10 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | ~ c1_1(X125)
                | ~ c3_1(X125) ) )
          | hskp2
          | hskp19 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp9
          | hskp8 )
        & ( ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | ~ c2_1(X127)
                | ~ c3_1(X127) ) )
          | hskp3
          | hskp13 )
        & ( hskp30
          | hskp9
          | hskp6 )
        & ( hskp27
          | hskp3
          | hskp15 )
        & ( hskp21
          | hskp20
          | hskp6 )
        & ( hskp26
          | hskp20
          | hskp15 )
        & ( hskp12
          | hskp19
          | hskp13 )
        & ( hskp2
          | hskp19
          | hskp8 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a123)
            & ~ c0_1(a123)
            & ~ c1_1(a123) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a124)
            & c2_1(a124)
            & ~ c3_1(a124) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a125)
            & c2_1(a125)
            & ~ c0_1(a125) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a127)
            & ~ c2_1(a127)
            & ~ c3_1(a127) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a128)
            & c1_1(a128)
            & ~ c3_1(a128) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a130)
            & ~ c1_1(a130)
            & ~ c3_1(a130) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a131)
            & ~ c1_1(a131)
            & ~ c2_1(a131) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a132)
            & ~ c0_1(a132)
            & ~ c2_1(a132) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a134)
            & ~ c0_1(a134)
            & ~ c3_1(a134) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a138)
            & c1_1(a138)
            & ~ c2_1(a138) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a140)
            & ~ c2_1(a140)
            & ~ c3_1(a140) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c1_1(a141)
            & ~ c2_1(a141)
            & ~ c3_1(a141) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a142)
            & c3_1(a142)
            & ~ c1_1(a142) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a143)
            & c3_1(a143)
            & ~ c1_1(a143) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a147)
            & ~ c1_1(a147)
            & ~ c3_1(a147) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a153)
            & c3_1(a153)
            & ~ c0_1(a153) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a154)
            & c3_1(a154)
            & ~ c0_1(a154) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a155)
            & ~ c0_1(a155)
            & ~ c2_1(a155) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a160)
            & ~ c1_1(a160)
            & ~ c2_1(a160) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a164)
            & c3_1(a164)
            & ~ c2_1(a164) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a168)
            & ~ c0_1(a168)
            & ~ c3_1(a168) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a170)
            & c2_1(a170)
            & ~ c1_1(a170) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a176)
            & ~ c1_1(a176)
            & ~ c2_1(a176) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a179)
            & ~ c1_1(a179)
            & ~ c3_1(a179) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a182)
            & ~ c2_1(a182)
            & ~ c3_1(a182) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a189)
            & ~ c0_1(a189)
            & ~ c1_1(a189) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a225)
            & c2_1(a225)
            & ~ c3_1(a225) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a122)
            & c2_1(a122)
            & c3_1(a122) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a133)
            & c2_1(a133)
            & c3_1(a133) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a136)
            & c1_1(a136)
            & c2_1(a136) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a167)
            & c1_1(a167)
            & c3_1(a167) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c3_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c3_1(X11)
                | ~ c2_1(X11) ) )
          | hskp27 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) )
          | hskp0 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c2_1(X16) ) )
          | hskp2
          | hskp1 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c3_1(X18)
                | ~ c1_1(X18) ) )
          | hskp3 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | ~ c1_1(X20) ) )
          | hskp4 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | ~ c2_1(X25) ) )
          | hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp5 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c1_1(X30)
                | ~ c2_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c0_1(X35)
                | ~ c3_1(X35) ) )
          | hskp6 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c1_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c0_1(X37)
                | ~ c1_1(X37) ) )
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp28
          | hskp8 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp8 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | hskp29
          | hskp7 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | c3_1(X42) ) )
          | hskp9
          | hskp7 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | hskp10
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c0_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c0_1(X50) ) )
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp28 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c1_1(X53) ) )
          | hskp28
          | hskp3 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c2_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp14 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c2_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp29 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | ~ c0_1(X62)
                | ~ c2_1(X62) ) )
          | hskp12 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp14
          | hskp7 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp10
          | hskp15 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | c3_1(X65)
                | ~ c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c3_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp16 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | c3_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c1_1(X76)
                | ~ c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c1_1(X78)
                | ~ c2_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) )
          | hskp17
          | hskp0 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp29
          | hskp7 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp0
          | hskp18 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp12 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) )
          | hskp2
          | hskp16 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp19
          | hskp17 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp6 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c2_1(X94) ) )
          | hskp30
          | hskp20 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp7 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp21
          | hskp6 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp3
          | hskp15 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp0
          | hskp7 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp22
          | hskp7 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp8
          | hskp23 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp9 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c1_1(X110) ) )
          | hskp15
          | hskp24 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | hskp9
          | hskp22 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp10
          | hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c3_1(X113) ) )
          | hskp1
          | hskp3 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c0_1(X114)
                | ~ c3_1(X114) ) )
          | hskp25
          | hskp6 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp17
          | hskp13 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp17
          | hskp24 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp15
          | hskp13 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) )
          | hskp12
          | hskp11 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c0_1(X119)
                | ~ c1_1(X119) ) )
          | hskp7
          | hskp24 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp27
          | hskp19 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | hskp22 )
        & ( ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) )
          | hskp14
          | hskp23 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) )
          | hskp14
          | hskp25 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c1_1(X124)
                | ~ c3_1(X124) ) )
          | hskp22
          | hskp10 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | ~ c1_1(X125)
                | ~ c3_1(X125) ) )
          | hskp2
          | hskp19 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp9
          | hskp8 )
        & ( ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | ~ c2_1(X127)
                | ~ c3_1(X127) ) )
          | hskp3
          | hskp13 )
        & ( hskp30
          | hskp9
          | hskp6 )
        & ( hskp27
          | hskp3
          | hskp15 )
        & ( hskp21
          | hskp20
          | hskp6 )
        & ( hskp26
          | hskp20
          | hskp15 )
        & ( hskp12
          | hskp19
          | hskp13 )
        & ( hskp2
          | hskp19
          | hskp8 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c0_1(X2)
          | c1_1(X2)
          | c3_1(X2) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c1_1(X4)
          | c2_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c0_1(X5)
          | c2_1(X5)
          | ~ c1_1(X5) )
      | ! [X6] :
          ( ~ ndr1_0
          | c0_1(X6)
          | c2_1(X6)
          | ~ c3_1(X6) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c0_1(X7)
          | c1_1(X7)
          | c2_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c3_1(X9)
          | ~ c0_1(X9) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | c0_1(X10)
          | c1_1(X10)
          | c2_1(X10) )
      | ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11) )
      | hskp27 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | c0_1(X12)
          | c1_1(X12)
          | c2_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13) )
      | hskp0 )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c1_1(X14)
          | c2_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ c1_1(X15) )
      | hskp1 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c0_1(X16)
          | c1_1(X16)
          | c2_1(X16) )
      | hskp2
      | hskp1 )
    & ( ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c1_1(X17)
          | c3_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | c2_1(X18)
          | c3_1(X18)
          | ~ c1_1(X18) )
      | hskp3 )
    & ( ! [X19] :
          ( ~ ndr1_0
          | c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | c2_1(X20)
          | ~ c1_1(X20) )
      | hskp4 )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | c1_1(X22)
          | ~ c0_1(X22)
          | ~ c2_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | c0_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25) )
      | hskp27 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27) )
      | hskp5 )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28) )
      | ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30) ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31) )
      | ! [X32] :
          ( ~ ndr1_0
          | c1_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | c1_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | c0_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34) )
      | ! [X35] :
          ( ~ ndr1_0
          | c1_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35) )
      | hskp6 )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c1_1(X36)
          | ~ c3_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ c1_1(X37) )
      | hskp7 )
    & ( ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | c1_1(X38)
          | ~ c3_1(X38) )
      | hskp28
      | hskp8 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | c0_1(X39)
          | c2_1(X39)
          | c3_1(X39) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c0_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40) )
      | hskp8 )
    & ( ! [X41] :
          ( ~ ndr1_0
          | c0_1(X41)
          | c2_1(X41)
          | c3_1(X41) )
      | hskp29
      | hskp7 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c0_1(X42)
          | c2_1(X42)
          | c3_1(X42) )
      | hskp9
      | hskp7 )
    & ( ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c2_1(X43)
          | c3_1(X43) )
      | hskp10
      | hskp11 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c0_1(X47)
          | c2_1(X47)
          | ~ c1_1(X47) )
      | ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48) )
      | hskp12 )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | c2_1(X49)
          | ~ c1_1(X49) )
      | ! [X50] :
          ( ~ ndr1_0
          | c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50) )
      | hskp13 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52) )
      | hskp28 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c0_1(X53)
          | c2_1(X53)
          | ~ c1_1(X53) )
      | hskp28
      | hskp3 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c0_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55) )
      | hskp14 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57) )
      | ! [X58] :
          ( ~ ndr1_0
          | c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c0_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59) )
      | ! [X60] :
          ( ~ ndr1_0
          | c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60) )
      | hskp29 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c0_1(X61)
          | c2_1(X61)
          | ~ c3_1(X61) )
      | ! [X62] :
          ( ~ ndr1_0
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62) )
      | hskp12 )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63) )
      | hskp14
      | hskp7 )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c0_1(X64)
          | c2_1(X64)
          | ~ c3_1(X64) )
      | hskp10
      | hskp15 )
    & ( ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | c3_1(X65)
          | ~ c1_1(X65) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67) ) )
    & ( ! [X68] :
          ( ~ ndr1_0
          | c0_1(X68)
          | c3_1(X68)
          | ~ c1_1(X68) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69) )
      | hskp16 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | c0_1(X70)
          | c3_1(X70)
          | ~ c2_1(X70) )
      | ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72) ) )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c0_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73) )
      | ! [X74] :
          ( ~ ndr1_0
          | c2_1(X74)
          | c3_1(X74)
          | ~ c1_1(X74) )
      | ! [X75] :
          ( ~ ndr1_0
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76) )
      | ! [X77] :
          ( ~ ndr1_0
          | c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77) )
      | ! [X78] :
          ( ~ ndr1_0
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ c2_1(X78) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79) )
      | hskp17
      | hskp0 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82) ) )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83) )
      | hskp29
      | hskp7 )
    & ( ! [X84] :
          ( ~ ndr1_0
          | c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84) )
      | hskp0
      | hskp18 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | c2_1(X85)
          | c3_1(X85) )
      | ! [X86] :
          ( ~ ndr1_0
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86) )
      | hskp12 )
    & ( ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | c2_1(X87)
          | c3_1(X87) )
      | hskp2
      | hskp16 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | c1_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88) )
      | hskp19
      | hskp17 )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c1_1(X89)
          | c2_1(X89)
          | ~ c3_1(X89) )
      | ! [X90] :
          ( ~ ndr1_0
          | c2_1(X90)
          | c3_1(X90)
          | ~ c1_1(X90) )
      | ! [X91] :
          ( ~ ndr1_0
          | c2_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91) ) )
    & ( ! [X92] :
          ( ~ ndr1_0
          | c1_1(X92)
          | c2_1(X92)
          | ~ c3_1(X92) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93) )
      | hskp6 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94) )
      | hskp30
      | hskp20 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95) )
      | ! [X96] :
          ( ~ ndr1_0
          | c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96) )
      | hskp7 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97) )
      | hskp21
      | hskp6 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98) )
      | hskp3
      | hskp15 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99) )
      | hskp0
      | hskp7 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100) )
      | ! [X101] :
          ( ~ ndr1_0
          | c3_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102) ) )
    & ( ! [X103] :
          ( ~ ndr1_0
          | c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103) )
      | hskp22
      | hskp7 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104) )
      | hskp8
      | hskp23 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | c2_1(X105)
          | c3_1(X105)
          | ~ c1_1(X105) )
      | ! [X106] :
          ( ~ ndr1_0
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106) )
      | hskp9 )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107) )
      | ! [X108] :
          ( ~ ndr1_0
          | c3_1(X108)
          | ~ c1_1(X108)
          | ~ c2_1(X108) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109) ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110) )
      | hskp15
      | hskp24 )
    & ( ! [X111] :
          ( ~ ndr1_0
          | c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111) )
      | hskp9
      | hskp22 )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c2_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112) )
      | hskp10
      | hskp18 )
    & ( ! [X113] :
          ( ~ ndr1_0
          | c2_1(X113)
          | ~ c0_1(X113)
          | ~ c3_1(X113) )
      | hskp1
      | hskp3 )
    & ( ! [X114] :
          ( ~ ndr1_0
          | c2_1(X114)
          | ~ c0_1(X114)
          | ~ c3_1(X114) )
      | hskp25
      | hskp6 )
    & ( ! [X115] :
          ( ~ ndr1_0
          | c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115) )
      | hskp17
      | hskp13 )
    & ( ! [X116] :
          ( ~ ndr1_0
          | c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116) )
      | hskp17
      | hskp24 )
    & ( ! [X117] :
          ( ~ ndr1_0
          | c2_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117) )
      | hskp15
      | hskp13 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | c3_1(X118)
          | ~ c0_1(X118)
          | ~ c1_1(X118) )
      | hskp12
      | hskp11 )
    & ( ! [X119] :
          ( ~ ndr1_0
          | c3_1(X119)
          | ~ c0_1(X119)
          | ~ c1_1(X119) )
      | hskp7
      | hskp24 )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120) )
      | hskp27
      | hskp19 )
    & ( ! [X121] :
          ( ~ ndr1_0
          | c3_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121) )
      | hskp22 )
    & ( ! [X122] :
          ( ~ ndr1_0
          | c3_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122) )
      | hskp14
      | hskp23 )
    & ( ! [X123] :
          ( ~ ndr1_0
          | ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123) )
      | hskp14
      | hskp25 )
    & ( ! [X124] :
          ( ~ ndr1_0
          | ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124) )
      | hskp22
      | hskp10 )
    & ( ! [X125] :
          ( ~ ndr1_0
          | ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125) )
      | hskp2
      | hskp19 )
    & ( ! [X126] :
          ( ~ ndr1_0
          | ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126) )
      | hskp9
      | hskp8 )
    & ( ! [X127] :
          ( ~ ndr1_0
          | ~ c1_1(X127)
          | ~ c2_1(X127)
          | ~ c3_1(X127) )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c1_1(X128)
          | c2_1(X128) )
      | ! [X129] :
          ( ~ ndr1_0
          | c0_1(X129)
          | c1_1(X129)
          | c3_1(X129) )
      | ! [X130] :
          ( ~ ndr1_0
          | c2_1(X130)
          | ~ c1_1(X130)
          | ~ c3_1(X130) ) )
    & ( ! [X131] :
          ( ~ ndr1_0
          | c0_1(X131)
          | c1_1(X131)
          | c2_1(X131) )
      | ! [X132] :
          ( ~ ndr1_0
          | c0_1(X132)
          | c2_1(X132)
          | ~ c1_1(X132) )
      | ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c2_1(X133)
          | ~ c3_1(X133) ) )
    & ( ! [X134] :
          ( ~ ndr1_0
          | c0_1(X134)
          | c1_1(X134)
          | c2_1(X134) )
      | ! [X135] :
          ( ~ ndr1_0
          | c0_1(X135)
          | c2_1(X135)
          | ~ c1_1(X135) )
      | ! [X136] :
          ( ~ ndr1_0
          | c2_1(X136)
          | c3_1(X136)
          | ~ c0_1(X136) ) )
    & ( ! [X137] :
          ( ~ ndr1_0
          | c0_1(X137)
          | c1_1(X137)
          | c2_1(X137) )
      | ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c3_1(X138)
          | ~ c2_1(X138) )
      | hskp27 )
    & ( ! [X139] :
          ( ~ ndr1_0
          | c0_1(X139)
          | c1_1(X139)
          | c2_1(X139) )
      | ! [X140] :
          ( ~ ndr1_0
          | c2_1(X140)
          | c3_1(X140)
          | ~ c1_1(X140) )
      | hskp0 )
    & ( ! [X141] :
          ( ~ ndr1_0
          | c0_1(X141)
          | c1_1(X141)
          | c2_1(X141) )
      | ! [X142] :
          ( ~ ndr1_0
          | c3_1(X142)
          | ~ c0_1(X142)
          | ~ c1_1(X142) )
      | hskp1 )
    & ( ! [X143] :
          ( ~ ndr1_0
          | c0_1(X143)
          | c1_1(X143)
          | c2_1(X143) )
      | hskp2
      | hskp1 )
    & ( ! [X144] :
          ( ~ ndr1_0
          | c0_1(X144)
          | c1_1(X144)
          | c3_1(X144) )
      | ! [X145] :
          ( ~ ndr1_0
          | c2_1(X145)
          | c3_1(X145)
          | ~ c1_1(X145) )
      | hskp3 )
    & ( ! [X146] :
          ( ~ ndr1_0
          | c0_1(X146)
          | c1_1(X146)
          | ~ c2_1(X146) )
      | ! [X147] :
          ( ~ ndr1_0
          | c0_1(X147)
          | c2_1(X147)
          | ~ c1_1(X147) )
      | hskp4 )
    & ( ! [X148] :
          ( ~ ndr1_0
          | c0_1(X148)
          | c1_1(X148)
          | ~ c2_1(X148) )
      | ! [X149] :
          ( ~ ndr1_0
          | c1_1(X149)
          | ~ c0_1(X149)
          | ~ c2_1(X149) )
      | ! [X150] :
          ( ~ ndr1_0
          | ~ c1_1(X150)
          | ~ c2_1(X150)
          | ~ c3_1(X150) ) )
    & ( ! [X151] :
          ( ~ ndr1_0
          | c0_1(X151)
          | c1_1(X151)
          | ~ c2_1(X151) )
      | ! [X152] :
          ( ~ ndr1_0
          | c3_1(X152)
          | ~ c0_1(X152)
          | ~ c2_1(X152) )
      | hskp27 )
    & ( ! [X153] :
          ( ~ ndr1_0
          | c0_1(X153)
          | c1_1(X153)
          | ~ c2_1(X153) )
      | ! [X154] :
          ( ~ ndr1_0
          | ~ c0_1(X154)
          | ~ c1_1(X154)
          | ~ c2_1(X154) )
      | hskp5 )
    & ( ! [X155] :
          ( ~ ndr1_0
          | c0_1(X155)
          | c1_1(X155)
          | ~ c3_1(X155) )
      | ! [X156] :
          ( ~ ndr1_0
          | c0_1(X156)
          | c2_1(X156)
          | ~ c1_1(X156) )
      | ! [X157] :
          ( ~ ndr1_0
          | c3_1(X157)
          | ~ c1_1(X157)
          | ~ c2_1(X157) ) )
    & ( ! [X158] :
          ( ~ ndr1_0
          | c0_1(X158)
          | c1_1(X158)
          | ~ c3_1(X158) )
      | ! [X159] :
          ( ~ ndr1_0
          | c1_1(X159)
          | c2_1(X159)
          | ~ c3_1(X159) )
      | ! [X160] :
          ( ~ ndr1_0
          | c1_1(X160)
          | ~ c2_1(X160)
          | ~ c3_1(X160) ) )
    & ( ! [X161] :
          ( ~ ndr1_0
          | c0_1(X161)
          | c1_1(X161)
          | ~ c3_1(X161) )
      | ! [X162] :
          ( ~ ndr1_0
          | c1_1(X162)
          | ~ c0_1(X162)
          | ~ c3_1(X162) )
      | hskp6 )
    & ( ! [X163] :
          ( ~ ndr1_0
          | c0_1(X163)
          | c1_1(X163)
          | ~ c3_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | c2_1(X164)
          | ~ c0_1(X164)
          | ~ c1_1(X164) )
      | hskp7 )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c0_1(X165)
          | c1_1(X165)
          | ~ c3_1(X165) )
      | hskp28
      | hskp8 )
    & ( ! [X166] :
          ( ~ ndr1_0
          | c0_1(X166)
          | c2_1(X166)
          | c3_1(X166) )
      | ! [X167] :
          ( ~ ndr1_0
          | ~ c0_1(X167)
          | ~ c2_1(X167)
          | ~ c3_1(X167) )
      | hskp8 )
    & ( ! [X168] :
          ( ~ ndr1_0
          | c0_1(X168)
          | c2_1(X168)
          | c3_1(X168) )
      | hskp29
      | hskp7 )
    & ( ! [X169] :
          ( ~ ndr1_0
          | c0_1(X169)
          | c2_1(X169)
          | c3_1(X169) )
      | hskp9
      | hskp7 )
    & ( ! [X170] :
          ( ~ ndr1_0
          | c0_1(X170)
          | c2_1(X170)
          | c3_1(X170) )
      | hskp10
      | hskp11 )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c0_1(X171)
          | c2_1(X171)
          | ~ c1_1(X171) )
      | ! [X172] :
          ( ~ ndr1_0
          | c0_1(X172)
          | c2_1(X172)
          | ~ c3_1(X172) )
      | ! [X173] :
          ( ~ ndr1_0
          | c2_1(X173)
          | ~ c0_1(X173)
          | ~ c3_1(X173) ) )
    & ( ! [X174] :
          ( ~ ndr1_0
          | c0_1(X174)
          | c2_1(X174)
          | ~ c1_1(X174) )
      | ! [X175] :
          ( ~ ndr1_0
          | c0_1(X175)
          | c2_1(X175)
          | ~ c3_1(X175) )
      | hskp12 )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c0_1(X176)
          | c2_1(X176)
          | ~ c1_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | c1_1(X177)
          | c2_1(X177)
          | ~ c0_1(X177) )
      | hskp13 )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c0_1(X178)
          | c2_1(X178)
          | ~ c1_1(X178) )
      | ! [X179] :
          ( ~ ndr1_0
          | c3_1(X179)
          | ~ c0_1(X179)
          | ~ c1_1(X179) )
      | hskp28 )
    & ( ! [X180] :
          ( ~ ndr1_0
          | c0_1(X180)
          | c2_1(X180)
          | ~ c1_1(X180) )
      | hskp28
      | hskp3 )
    & ( ! [X181] :
          ( ~ ndr1_0
          | c0_1(X181)
          | c2_1(X181)
          | ~ c3_1(X181) )
      | ! [X182] :
          ( ~ ndr1_0
          | c0_1(X182)
          | c3_1(X182)
          | ~ c2_1(X182) )
      | hskp14 )
    & ( ! [X183] :
          ( ~ ndr1_0
          | c0_1(X183)
          | c2_1(X183)
          | ~ c3_1(X183) )
      | ! [X184] :
          ( ~ ndr1_0
          | c0_1(X184)
          | ~ c1_1(X184)
          | ~ c2_1(X184) )
      | ! [X185] :
          ( ~ ndr1_0
          | c1_1(X185)
          | c2_1(X185)
          | ~ c0_1(X185) ) )
    & ( ! [X186] :
          ( ~ ndr1_0
          | c0_1(X186)
          | c2_1(X186)
          | ~ c3_1(X186) )
      | ! [X187] :
          ( ~ ndr1_0
          | c2_1(X187)
          | c3_1(X187)
          | ~ c1_1(X187) )
      | hskp29 )
    & ( ! [X188] :
          ( ~ ndr1_0
          | c0_1(X188)
          | c2_1(X188)
          | ~ c3_1(X188) )
      | ! [X189] :
          ( ~ ndr1_0
          | c3_1(X189)
          | ~ c0_1(X189)
          | ~ c2_1(X189) )
      | hskp12 )
    & ( ! [X190] :
          ( ~ ndr1_0
          | c0_1(X190)
          | c2_1(X190)
          | ~ c3_1(X190) )
      | hskp14
      | hskp7 )
    & ( ! [X191] :
          ( ~ ndr1_0
          | c0_1(X191)
          | c2_1(X191)
          | ~ c3_1(X191) )
      | hskp10
      | hskp15 )
    & ( ! [X192] :
          ( ~ ndr1_0
          | c0_1(X192)
          | c3_1(X192)
          | ~ c1_1(X192) )
      | ! [X193] :
          ( ~ ndr1_0
          | c3_1(X193)
          | ~ c1_1(X193)
          | ~ c2_1(X193) )
      | ! [X194] :
          ( ~ ndr1_0
          | ~ c0_1(X194)
          | ~ c2_1(X194)
          | ~ c3_1(X194) ) )
    & ( ! [X195] :
          ( ~ ndr1_0
          | c0_1(X195)
          | c3_1(X195)
          | ~ c1_1(X195) )
      | ! [X196] :
          ( ~ ndr1_0
          | ~ c1_1(X196)
          | ~ c2_1(X196)
          | ~ c3_1(X196) )
      | hskp16 )
    & ( ! [X197] :
          ( ~ ndr1_0
          | c0_1(X197)
          | c3_1(X197)
          | ~ c2_1(X197) )
      | ! [X198] :
          ( ~ ndr1_0
          | c1_1(X198)
          | c2_1(X198)
          | ~ c3_1(X198) )
      | ! [X199] :
          ( ~ ndr1_0
          | ~ c0_1(X199)
          | ~ c1_1(X199)
          | ~ c2_1(X199) ) )
    & ( ! [X200] :
          ( ~ ndr1_0
          | c0_1(X200)
          | c3_1(X200)
          | ~ c2_1(X200) )
      | ! [X201] :
          ( ~ ndr1_0
          | c2_1(X201)
          | c3_1(X201)
          | ~ c1_1(X201) )
      | ! [X202] :
          ( ~ ndr1_0
          | c2_1(X202)
          | ~ c1_1(X202)
          | ~ c3_1(X202) ) )
    & ( ! [X203] :
          ( ~ ndr1_0
          | c0_1(X203)
          | ~ c1_1(X203)
          | ~ c2_1(X203) )
      | ! [X204] :
          ( ~ ndr1_0
          | c1_1(X204)
          | c3_1(X204)
          | ~ c2_1(X204) )
      | ! [X205] :
          ( ~ ndr1_0
          | c3_1(X205)
          | ~ c1_1(X205)
          | ~ c2_1(X205) ) )
    & ( ! [X206] :
          ( ~ ndr1_0
          | c0_1(X206)
          | ~ c1_1(X206)
          | ~ c3_1(X206) )
      | hskp17
      | hskp0 )
    & ( ! [X207] :
          ( ~ ndr1_0
          | c0_1(X207)
          | ~ c2_1(X207)
          | ~ c3_1(X207) )
      | ! [X208] :
          ( ~ ndr1_0
          | c1_1(X208)
          | c2_1(X208)
          | ~ c0_1(X208) )
      | ! [X209] :
          ( ~ ndr1_0
          | ~ c0_1(X209)
          | ~ c1_1(X209)
          | ~ c3_1(X209) ) )
    & ( ! [X210] :
          ( ~ ndr1_0
          | c0_1(X210)
          | ~ c2_1(X210)
          | ~ c3_1(X210) )
      | hskp29
      | hskp7 )
    & ( ! [X211] :
          ( ~ ndr1_0
          | c0_1(X211)
          | ~ c2_1(X211)
          | ~ c3_1(X211) )
      | hskp0
      | hskp18 )
    & ( ! [X212] :
          ( ~ ndr1_0
          | c1_1(X212)
          | c2_1(X212)
          | c3_1(X212) )
      | ! [X213] :
          ( ~ ndr1_0
          | c3_1(X213)
          | ~ c0_1(X213)
          | ~ c1_1(X213) )
      | hskp12 )
    & ( ! [X214] :
          ( ~ ndr1_0
          | c1_1(X214)
          | c2_1(X214)
          | c3_1(X214) )
      | hskp2
      | hskp16 )
    & ( ! [X215] :
          ( ~ ndr1_0
          | c1_1(X215)
          | c2_1(X215)
          | ~ c0_1(X215) )
      | hskp19
      | hskp17 )
    & ( ! [X216] :
          ( ~ ndr1_0
          | c1_1(X216)
          | c2_1(X216)
          | ~ c3_1(X216) )
      | ! [X217] :
          ( ~ ndr1_0
          | c2_1(X217)
          | c3_1(X217)
          | ~ c1_1(X217) )
      | ! [X218] :
          ( ~ ndr1_0
          | c2_1(X218)
          | ~ c0_1(X218)
          | ~ c3_1(X218) ) )
    & ( ! [X219] :
          ( ~ ndr1_0
          | c1_1(X219)
          | c2_1(X219)
          | ~ c3_1(X219) )
      | ! [X220] :
          ( ~ ndr1_0
          | ~ c0_1(X220)
          | ~ c2_1(X220)
          | ~ c3_1(X220) )
      | hskp6 )
    & ( ! [X221] :
          ( ~ ndr1_0
          | c1_1(X221)
          | c3_1(X221)
          | ~ c2_1(X221) )
      | hskp30
      | hskp20 )
    & ( ! [X222] :
          ( ~ ndr1_0
          | c1_1(X222)
          | ~ c0_1(X222)
          | ~ c3_1(X222) )
      | ! [X223] :
          ( ~ ndr1_0
          | c2_1(X223)
          | ~ c0_1(X223)
          | ~ c1_1(X223) )
      | hskp7 )
    & ( ! [X224] :
          ( ~ ndr1_0
          | c1_1(X224)
          | ~ c0_1(X224)
          | ~ c3_1(X224) )
      | hskp21
      | hskp6 )
    & ( ! [X225] :
          ( ~ ndr1_0
          | c1_1(X225)
          | ~ c0_1(X225)
          | ~ c3_1(X225) )
      | hskp3
      | hskp15 )
    & ( ! [X226] :
          ( ~ ndr1_0
          | c1_1(X226)
          | ~ c0_1(X226)
          | ~ c3_1(X226) )
      | hskp0
      | hskp7 )
    & ( ! [X227] :
          ( ~ ndr1_0
          | c1_1(X227)
          | ~ c2_1(X227)
          | ~ c3_1(X227) )
      | ! [X228] :
          ( ~ ndr1_0
          | c3_1(X228)
          | ~ c1_1(X228)
          | ~ c2_1(X228) )
      | ! [X229] :
          ( ~ ndr1_0
          | ~ c0_1(X229)
          | ~ c1_1(X229)
          | ~ c3_1(X229) ) )
    & ( ! [X230] :
          ( ~ ndr1_0
          | c1_1(X230)
          | ~ c2_1(X230)
          | ~ c3_1(X230) )
      | hskp22
      | hskp7 )
    & ( ! [X231] :
          ( ~ ndr1_0
          | c1_1(X231)
          | ~ c2_1(X231)
          | ~ c3_1(X231) )
      | hskp8
      | hskp23 )
    & ( ! [X232] :
          ( ~ ndr1_0
          | c2_1(X232)
          | c3_1(X232)
          | ~ c1_1(X232) )
      | ! [X233] :
          ( ~ ndr1_0
          | c3_1(X233)
          | ~ c0_1(X233)
          | ~ c1_1(X233) )
      | hskp9 )
    & ( ! [X234] :
          ( ~ ndr1_0
          | c2_1(X234)
          | c3_1(X234)
          | ~ c1_1(X234) )
      | ! [X235] :
          ( ~ ndr1_0
          | c3_1(X235)
          | ~ c1_1(X235)
          | ~ c2_1(X235) )
      | ! [X236] :
          ( ~ ndr1_0
          | ~ c1_1(X236)
          | ~ c2_1(X236)
          | ~ c3_1(X236) ) )
    & ( ! [X237] :
          ( ~ ndr1_0
          | c2_1(X237)
          | c3_1(X237)
          | ~ c1_1(X237) )
      | hskp15
      | hskp24 )
    & ( ! [X238] :
          ( ~ ndr1_0
          | c2_1(X238)
          | ~ c0_1(X238)
          | ~ c1_1(X238) )
      | hskp9
      | hskp22 )
    & ( ! [X239] :
          ( ~ ndr1_0
          | c2_1(X239)
          | ~ c0_1(X239)
          | ~ c1_1(X239) )
      | hskp10
      | hskp18 )
    & ( ! [X240] :
          ( ~ ndr1_0
          | c2_1(X240)
          | ~ c0_1(X240)
          | ~ c3_1(X240) )
      | hskp1
      | hskp3 )
    & ( ! [X241] :
          ( ~ ndr1_0
          | c2_1(X241)
          | ~ c0_1(X241)
          | ~ c3_1(X241) )
      | hskp25
      | hskp6 )
    & ( ! [X242] :
          ( ~ ndr1_0
          | c2_1(X242)
          | ~ c1_1(X242)
          | ~ c3_1(X242) )
      | hskp17
      | hskp13 )
    & ( ! [X243] :
          ( ~ ndr1_0
          | c2_1(X243)
          | ~ c1_1(X243)
          | ~ c3_1(X243) )
      | hskp17
      | hskp24 )
    & ( ! [X244] :
          ( ~ ndr1_0
          | c2_1(X244)
          | ~ c1_1(X244)
          | ~ c3_1(X244) )
      | hskp15
      | hskp13 )
    & ( ! [X245] :
          ( ~ ndr1_0
          | c3_1(X245)
          | ~ c0_1(X245)
          | ~ c1_1(X245) )
      | hskp12
      | hskp11 )
    & ( ! [X246] :
          ( ~ ndr1_0
          | c3_1(X246)
          | ~ c0_1(X246)
          | ~ c1_1(X246) )
      | hskp7
      | hskp24 )
    & ( ! [X247] :
          ( ~ ndr1_0
          | c3_1(X247)
          | ~ c1_1(X247)
          | ~ c2_1(X247) )
      | hskp27
      | hskp19 )
    & ( ! [X248] :
          ( ~ ndr1_0
          | c3_1(X248)
          | ~ c1_1(X248)
          | ~ c2_1(X248) )
      | hskp22 )
    & ( ! [X249] :
          ( ~ ndr1_0
          | c3_1(X249)
          | ~ c1_1(X249)
          | ~ c2_1(X249) )
      | hskp14
      | hskp23 )
    & ( ! [X250] :
          ( ~ ndr1_0
          | ~ c0_1(X250)
          | ~ c1_1(X250)
          | ~ c2_1(X250) )
      | hskp14
      | hskp25 )
    & ( ! [X251] :
          ( ~ ndr1_0
          | ~ c0_1(X251)
          | ~ c1_1(X251)
          | ~ c3_1(X251) )
      | hskp22
      | hskp10 )
    & ( ! [X252] :
          ( ~ ndr1_0
          | ~ c0_1(X252)
          | ~ c1_1(X252)
          | ~ c3_1(X252) )
      | hskp2
      | hskp19 )
    & ( ! [X253] :
          ( ~ ndr1_0
          | ~ c1_1(X253)
          | ~ c2_1(X253)
          | ~ c3_1(X253) )
      | hskp9
      | hskp8 )
    & ( ! [X254] :
          ( ~ ndr1_0
          | ~ c1_1(X254)
          | ~ c2_1(X254)
          | ~ c3_1(X254) )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254] :
      ( ( ~ ndr1_0
        | ~ c1_1(X254)
        | ~ c2_1(X254)
        | ~ c3_1(X254)
        | hskp3
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c1_1(X253)
        | ~ c2_1(X253)
        | ~ c3_1(X253)
        | hskp9
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X252)
        | ~ c1_1(X252)
        | ~ c3_1(X252)
        | hskp2
        | hskp19 )
      & ( ~ ndr1_0
        | ~ c0_1(X251)
        | ~ c1_1(X251)
        | ~ c3_1(X251)
        | hskp22
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X250)
        | ~ c1_1(X250)
        | ~ c2_1(X250)
        | hskp14
        | hskp25 )
      & ( ~ ndr1_0
        | c3_1(X249)
        | ~ c1_1(X249)
        | ~ c2_1(X249)
        | hskp14
        | hskp23 )
      & ( ~ ndr1_0
        | c3_1(X248)
        | ~ c1_1(X248)
        | ~ c2_1(X248)
        | hskp22 )
      & ( ~ ndr1_0
        | c3_1(X247)
        | ~ c1_1(X247)
        | ~ c2_1(X247)
        | hskp27
        | hskp19 )
      & ( ~ ndr1_0
        | c3_1(X246)
        | ~ c0_1(X246)
        | ~ c1_1(X246)
        | hskp7
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X245)
        | ~ c0_1(X245)
        | ~ c1_1(X245)
        | hskp12
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X244)
        | ~ c1_1(X244)
        | ~ c3_1(X244)
        | hskp15
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X243)
        | ~ c1_1(X243)
        | ~ c3_1(X243)
        | hskp17
        | hskp24 )
      & ( ~ ndr1_0
        | c2_1(X242)
        | ~ c1_1(X242)
        | ~ c3_1(X242)
        | hskp17
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X241)
        | ~ c0_1(X241)
        | ~ c3_1(X241)
        | hskp25
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X240)
        | ~ c0_1(X240)
        | ~ c3_1(X240)
        | hskp1
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X239)
        | ~ c0_1(X239)
        | ~ c1_1(X239)
        | hskp10
        | hskp18 )
      & ( ~ ndr1_0
        | c2_1(X238)
        | ~ c0_1(X238)
        | ~ c1_1(X238)
        | hskp9
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X237)
        | c3_1(X237)
        | ~ c1_1(X237)
        | hskp15
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c1_1(X236)
        | ~ c2_1(X236)
        | ~ c3_1(X236)
        | ~ ndr1_0
        | c3_1(X235)
        | ~ c1_1(X235)
        | ~ c2_1(X235)
        | ~ ndr1_0
        | c2_1(X234)
        | c3_1(X234)
        | ~ c1_1(X234) )
      & ( ~ ndr1_0
        | c3_1(X233)
        | ~ c0_1(X233)
        | ~ c1_1(X233)
        | ~ ndr1_0
        | c2_1(X232)
        | c3_1(X232)
        | ~ c1_1(X232)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X231)
        | ~ c2_1(X231)
        | ~ c3_1(X231)
        | hskp8
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X230)
        | ~ c2_1(X230)
        | ~ c3_1(X230)
        | hskp22
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c3_1(X229)
        | ~ ndr1_0
        | c3_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | ~ ndr1_0
        | c1_1(X227)
        | ~ c2_1(X227)
        | ~ c3_1(X227) )
      & ( ~ ndr1_0
        | c1_1(X226)
        | ~ c0_1(X226)
        | ~ c3_1(X226)
        | hskp0
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X225)
        | ~ c0_1(X225)
        | ~ c3_1(X225)
        | hskp3
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X224)
        | ~ c0_1(X224)
        | ~ c3_1(X224)
        | hskp21
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X223)
        | ~ c0_1(X223)
        | ~ c1_1(X223)
        | ~ ndr1_0
        | c1_1(X222)
        | ~ c0_1(X222)
        | ~ c3_1(X222)
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X221)
        | c3_1(X221)
        | ~ c2_1(X221)
        | hskp30
        | hskp20 )
      & ( ~ ndr1_0
        | ~ c0_1(X220)
        | ~ c2_1(X220)
        | ~ c3_1(X220)
        | ~ ndr1_0
        | c1_1(X219)
        | c2_1(X219)
        | ~ c3_1(X219)
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X218)
        | ~ c0_1(X218)
        | ~ c3_1(X218)
        | ~ ndr1_0
        | c2_1(X217)
        | c3_1(X217)
        | ~ c1_1(X217)
        | ~ ndr1_0
        | c1_1(X216)
        | c2_1(X216)
        | ~ c3_1(X216) )
      & ( ~ ndr1_0
        | c1_1(X215)
        | c2_1(X215)
        | ~ c0_1(X215)
        | hskp19
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X214)
        | c2_1(X214)
        | c3_1(X214)
        | hskp2
        | hskp16 )
      & ( ~ ndr1_0
        | c3_1(X213)
        | ~ c0_1(X213)
        | ~ c1_1(X213)
        | ~ ndr1_0
        | c1_1(X212)
        | c2_1(X212)
        | c3_1(X212)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X211)
        | ~ c2_1(X211)
        | ~ c3_1(X211)
        | hskp0
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X210)
        | ~ c2_1(X210)
        | ~ c3_1(X210)
        | hskp29
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | ~ c3_1(X209)
        | ~ ndr1_0
        | c1_1(X208)
        | c2_1(X208)
        | ~ c0_1(X208)
        | ~ ndr1_0
        | c0_1(X207)
        | ~ c2_1(X207)
        | ~ c3_1(X207) )
      & ( ~ ndr1_0
        | c0_1(X206)
        | ~ c1_1(X206)
        | ~ c3_1(X206)
        | hskp17
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X205)
        | ~ c1_1(X205)
        | ~ c2_1(X205)
        | ~ ndr1_0
        | c1_1(X204)
        | c3_1(X204)
        | ~ c2_1(X204)
        | ~ ndr1_0
        | c0_1(X203)
        | ~ c1_1(X203)
        | ~ c2_1(X203) )
      & ( ~ ndr1_0
        | c2_1(X202)
        | ~ c1_1(X202)
        | ~ c3_1(X202)
        | ~ ndr1_0
        | c2_1(X201)
        | c3_1(X201)
        | ~ c1_1(X201)
        | ~ ndr1_0
        | c0_1(X200)
        | c3_1(X200)
        | ~ c2_1(X200) )
      & ( ~ ndr1_0
        | ~ c0_1(X199)
        | ~ c1_1(X199)
        | ~ c2_1(X199)
        | ~ ndr1_0
        | c1_1(X198)
        | c2_1(X198)
        | ~ c3_1(X198)
        | ~ ndr1_0
        | c0_1(X197)
        | c3_1(X197)
        | ~ c2_1(X197) )
      & ( ~ ndr1_0
        | ~ c1_1(X196)
        | ~ c2_1(X196)
        | ~ c3_1(X196)
        | ~ ndr1_0
        | c0_1(X195)
        | c3_1(X195)
        | ~ c1_1(X195)
        | hskp16 )
      & ( ~ ndr1_0
        | ~ c0_1(X194)
        | ~ c2_1(X194)
        | ~ c3_1(X194)
        | ~ ndr1_0
        | c3_1(X193)
        | ~ c1_1(X193)
        | ~ c2_1(X193)
        | ~ ndr1_0
        | c0_1(X192)
        | c3_1(X192)
        | ~ c1_1(X192) )
      & ( ~ ndr1_0
        | c0_1(X191)
        | c2_1(X191)
        | ~ c3_1(X191)
        | hskp10
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X190)
        | c2_1(X190)
        | ~ c3_1(X190)
        | hskp14
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X189)
        | ~ c0_1(X189)
        | ~ c2_1(X189)
        | ~ ndr1_0
        | c0_1(X188)
        | c2_1(X188)
        | ~ c3_1(X188)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X187)
        | c3_1(X187)
        | ~ c1_1(X187)
        | ~ ndr1_0
        | c0_1(X186)
        | c2_1(X186)
        | ~ c3_1(X186)
        | hskp29 )
      & ( ~ ndr1_0
        | c1_1(X185)
        | c2_1(X185)
        | ~ c0_1(X185)
        | ~ ndr1_0
        | c0_1(X184)
        | ~ c1_1(X184)
        | ~ c2_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | c2_1(X183)
        | ~ c3_1(X183) )
      & ( ~ ndr1_0
        | c0_1(X182)
        | c3_1(X182)
        | ~ c2_1(X182)
        | ~ ndr1_0
        | c0_1(X181)
        | c2_1(X181)
        | ~ c3_1(X181)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X180)
        | c2_1(X180)
        | ~ c1_1(X180)
        | hskp28
        | hskp3 )
      & ( ~ ndr1_0
        | c3_1(X179)
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ ndr1_0
        | c0_1(X178)
        | c2_1(X178)
        | ~ c1_1(X178)
        | hskp28 )
      & ( ~ ndr1_0
        | c1_1(X177)
        | c2_1(X177)
        | ~ c0_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | c2_1(X176)
        | ~ c1_1(X176)
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | c2_1(X175)
        | ~ c3_1(X175)
        | ~ ndr1_0
        | c0_1(X174)
        | c2_1(X174)
        | ~ c1_1(X174)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X173)
        | ~ c0_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c0_1(X172)
        | c2_1(X172)
        | ~ c3_1(X172)
        | ~ ndr1_0
        | c0_1(X171)
        | c2_1(X171)
        | ~ c1_1(X171) )
      & ( ~ ndr1_0
        | c0_1(X170)
        | c2_1(X170)
        | c3_1(X170)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X169)
        | c2_1(X169)
        | c3_1(X169)
        | hskp9
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X168)
        | c2_1(X168)
        | c3_1(X168)
        | hskp29
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | ~ c3_1(X167)
        | ~ ndr1_0
        | c0_1(X166)
        | c2_1(X166)
        | c3_1(X166)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X165)
        | c1_1(X165)
        | ~ c3_1(X165)
        | hskp28
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X164)
        | ~ c0_1(X164)
        | ~ c1_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | c1_1(X163)
        | ~ c3_1(X163)
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X162)
        | ~ c0_1(X162)
        | ~ c3_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c1_1(X161)
        | ~ c3_1(X161)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X160)
        | ~ c2_1(X160)
        | ~ c3_1(X160)
        | ~ ndr1_0
        | c1_1(X159)
        | c2_1(X159)
        | ~ c3_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c1_1(X158)
        | ~ c3_1(X158) )
      & ( ~ ndr1_0
        | c3_1(X157)
        | ~ c1_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c1_1(X155)
        | ~ c3_1(X155) )
      & ( ~ ndr1_0
        | ~ c0_1(X154)
        | ~ c1_1(X154)
        | ~ c2_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c1_1(X153)
        | ~ c2_1(X153)
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X152)
        | ~ c0_1(X152)
        | ~ c2_1(X152)
        | ~ ndr1_0
        | c0_1(X151)
        | c1_1(X151)
        | ~ c2_1(X151)
        | hskp27 )
      & ( ~ ndr1_0
        | ~ c1_1(X150)
        | ~ c2_1(X150)
        | ~ c3_1(X150)
        | ~ ndr1_0
        | c1_1(X149)
        | ~ c0_1(X149)
        | ~ c2_1(X149)
        | ~ ndr1_0
        | c0_1(X148)
        | c1_1(X148)
        | ~ c2_1(X148) )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c1_1(X147)
        | ~ ndr1_0
        | c0_1(X146)
        | c1_1(X146)
        | ~ c2_1(X146)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X145)
        | c3_1(X145)
        | ~ c1_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c1_1(X144)
        | c3_1(X144)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c1_1(X143)
        | c2_1(X143)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c3_1(X142)
        | ~ c0_1(X142)
        | ~ c1_1(X142)
        | ~ ndr1_0
        | c0_1(X141)
        | c1_1(X141)
        | c2_1(X141)
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X140)
        | c3_1(X140)
        | ~ c1_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c1_1(X139)
        | c2_1(X139)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c3_1(X138)
        | ~ c2_1(X138)
        | ~ ndr1_0
        | c0_1(X137)
        | c1_1(X137)
        | c2_1(X137)
        | hskp27 )
      & ( ~ ndr1_0
        | c2_1(X136)
        | c3_1(X136)
        | ~ c0_1(X136)
        | ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | ~ c1_1(X135)
        | ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | c2_1(X134) )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c2_1(X133)
        | ~ c3_1(X133)
        | ~ ndr1_0
        | c0_1(X132)
        | c2_1(X132)
        | ~ c1_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c1_1(X131)
        | c2_1(X131) )
      & ( ~ ndr1_0
        | c2_1(X130)
        | ~ c1_1(X130)
        | ~ c3_1(X130)
        | ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | c3_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | c2_1(X128) )
      & ( ~ hskp0
        | ( ndr1_0
          & c2_1(a123)
          & ~ c0_1(a123)
          & ~ c1_1(a123) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a124)
          & c2_1(a124)
          & ~ c3_1(a124) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a125)
          & c2_1(a125)
          & ~ c0_1(a125) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a127)
          & ~ c2_1(a127)
          & ~ c3_1(a127) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a128)
          & c1_1(a128)
          & ~ c3_1(a128) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a130)
          & ~ c1_1(a130)
          & ~ c3_1(a130) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a131)
          & ~ c1_1(a131)
          & ~ c2_1(a131) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a132)
          & ~ c0_1(a132)
          & ~ c2_1(a132) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a134)
          & ~ c0_1(a134)
          & ~ c3_1(a134) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a138)
          & c1_1(a138)
          & ~ c2_1(a138) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a140)
          & ~ c2_1(a140)
          & ~ c3_1(a140) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c1_1(a141)
          & ~ c2_1(a141)
          & ~ c3_1(a141) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a142)
          & c3_1(a142)
          & ~ c1_1(a142) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a143)
          & c3_1(a143)
          & ~ c1_1(a143) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a147)
          & ~ c1_1(a147)
          & ~ c3_1(a147) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a153)
          & c3_1(a153)
          & ~ c0_1(a153) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a154)
          & c3_1(a154)
          & ~ c0_1(a154) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a155)
          & ~ c0_1(a155)
          & ~ c2_1(a155) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a160)
          & ~ c1_1(a160)
          & ~ c2_1(a160) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a164)
          & c3_1(a164)
          & ~ c2_1(a164) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a168)
          & ~ c0_1(a168)
          & ~ c3_1(a168) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a170)
          & c2_1(a170)
          & ~ c1_1(a170) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a176)
          & ~ c1_1(a176)
          & ~ c2_1(a176) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a179)
          & ~ c1_1(a179)
          & ~ c3_1(a179) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a182)
          & ~ c2_1(a182)
          & ~ c3_1(a182) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a189)
          & ~ c0_1(a189)
          & ~ c1_1(a189) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a225)
          & c2_1(a225)
          & ~ c3_1(a225) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a122)
          & c2_1(a122)
          & c3_1(a122) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a133)
          & c2_1(a133)
          & c3_1(a133) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a136)
          & c1_1(a136)
          & c2_1(a136) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a167)
          & c1_1(a167)
          & c3_1(a167) ) )
      & ( hskp30
        | hskp9
        | hskp6 )
      & ( hskp27
        | hskp3
        | hskp15 )
      & ( hskp21
        | hskp20
        | hskp6 )
      & ( hskp26
        | hskp20
        | hskp15 )
      & ( hskp12
        | hskp19
        | hskp13 )
      & ( hskp2
        | hskp19
        | hskp8 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254] :
      ( ( ~ ndr1_0
        | ~ c1_1(X254)
        | ~ c2_1(X254)
        | ~ c3_1(X254)
        | hskp3
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c1_1(X253)
        | ~ c2_1(X253)
        | ~ c3_1(X253)
        | hskp9
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X252)
        | ~ c1_1(X252)
        | ~ c3_1(X252)
        | hskp2
        | hskp19 )
      & ( ~ ndr1_0
        | ~ c0_1(X251)
        | ~ c1_1(X251)
        | ~ c3_1(X251)
        | hskp22
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X250)
        | ~ c1_1(X250)
        | ~ c2_1(X250)
        | hskp14
        | hskp25 )
      & ( ~ ndr1_0
        | c3_1(X249)
        | ~ c1_1(X249)
        | ~ c2_1(X249)
        | hskp14
        | hskp23 )
      & ( ~ ndr1_0
        | c3_1(X248)
        | ~ c1_1(X248)
        | ~ c2_1(X248)
        | hskp22 )
      & ( ~ ndr1_0
        | c3_1(X247)
        | ~ c1_1(X247)
        | ~ c2_1(X247)
        | hskp27
        | hskp19 )
      & ( ~ ndr1_0
        | c3_1(X246)
        | ~ c0_1(X246)
        | ~ c1_1(X246)
        | hskp7
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X245)
        | ~ c0_1(X245)
        | ~ c1_1(X245)
        | hskp12
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X244)
        | ~ c1_1(X244)
        | ~ c3_1(X244)
        | hskp15
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X243)
        | ~ c1_1(X243)
        | ~ c3_1(X243)
        | hskp17
        | hskp24 )
      & ( ~ ndr1_0
        | c2_1(X242)
        | ~ c1_1(X242)
        | ~ c3_1(X242)
        | hskp17
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X241)
        | ~ c0_1(X241)
        | ~ c3_1(X241)
        | hskp25
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X240)
        | ~ c0_1(X240)
        | ~ c3_1(X240)
        | hskp1
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X239)
        | ~ c0_1(X239)
        | ~ c1_1(X239)
        | hskp10
        | hskp18 )
      & ( ~ ndr1_0
        | c2_1(X238)
        | ~ c0_1(X238)
        | ~ c1_1(X238)
        | hskp9
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X237)
        | c3_1(X237)
        | ~ c1_1(X237)
        | hskp15
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c1_1(X236)
        | ~ c2_1(X236)
        | ~ c3_1(X236)
        | ~ ndr1_0
        | c3_1(X235)
        | ~ c1_1(X235)
        | ~ c2_1(X235)
        | ~ ndr1_0
        | c2_1(X234)
        | c3_1(X234)
        | ~ c1_1(X234) )
      & ( ~ ndr1_0
        | c3_1(X233)
        | ~ c0_1(X233)
        | ~ c1_1(X233)
        | ~ ndr1_0
        | c2_1(X232)
        | c3_1(X232)
        | ~ c1_1(X232)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X231)
        | ~ c2_1(X231)
        | ~ c3_1(X231)
        | hskp8
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X230)
        | ~ c2_1(X230)
        | ~ c3_1(X230)
        | hskp22
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c3_1(X229)
        | ~ ndr1_0
        | c3_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | ~ ndr1_0
        | c1_1(X227)
        | ~ c2_1(X227)
        | ~ c3_1(X227) )
      & ( ~ ndr1_0
        | c1_1(X226)
        | ~ c0_1(X226)
        | ~ c3_1(X226)
        | hskp0
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X225)
        | ~ c0_1(X225)
        | ~ c3_1(X225)
        | hskp3
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X224)
        | ~ c0_1(X224)
        | ~ c3_1(X224)
        | hskp21
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X223)
        | ~ c0_1(X223)
        | ~ c1_1(X223)
        | ~ ndr1_0
        | c1_1(X222)
        | ~ c0_1(X222)
        | ~ c3_1(X222)
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X221)
        | c3_1(X221)
        | ~ c2_1(X221)
        | hskp30
        | hskp20 )
      & ( ~ ndr1_0
        | ~ c0_1(X220)
        | ~ c2_1(X220)
        | ~ c3_1(X220)
        | ~ ndr1_0
        | c1_1(X219)
        | c2_1(X219)
        | ~ c3_1(X219)
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X218)
        | ~ c0_1(X218)
        | ~ c3_1(X218)
        | ~ ndr1_0
        | c2_1(X217)
        | c3_1(X217)
        | ~ c1_1(X217)
        | ~ ndr1_0
        | c1_1(X216)
        | c2_1(X216)
        | ~ c3_1(X216) )
      & ( ~ ndr1_0
        | c1_1(X215)
        | c2_1(X215)
        | ~ c0_1(X215)
        | hskp19
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X214)
        | c2_1(X214)
        | c3_1(X214)
        | hskp2
        | hskp16 )
      & ( ~ ndr1_0
        | c3_1(X213)
        | ~ c0_1(X213)
        | ~ c1_1(X213)
        | ~ ndr1_0
        | c1_1(X212)
        | c2_1(X212)
        | c3_1(X212)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X211)
        | ~ c2_1(X211)
        | ~ c3_1(X211)
        | hskp0
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X210)
        | ~ c2_1(X210)
        | ~ c3_1(X210)
        | hskp29
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | ~ c3_1(X209)
        | ~ ndr1_0
        | c1_1(X208)
        | c2_1(X208)
        | ~ c0_1(X208)
        | ~ ndr1_0
        | c0_1(X207)
        | ~ c2_1(X207)
        | ~ c3_1(X207) )
      & ( ~ ndr1_0
        | c0_1(X206)
        | ~ c1_1(X206)
        | ~ c3_1(X206)
        | hskp17
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X205)
        | ~ c1_1(X205)
        | ~ c2_1(X205)
        | ~ ndr1_0
        | c1_1(X204)
        | c3_1(X204)
        | ~ c2_1(X204)
        | ~ ndr1_0
        | c0_1(X203)
        | ~ c1_1(X203)
        | ~ c2_1(X203) )
      & ( ~ ndr1_0
        | c2_1(X202)
        | ~ c1_1(X202)
        | ~ c3_1(X202)
        | ~ ndr1_0
        | c2_1(X201)
        | c3_1(X201)
        | ~ c1_1(X201)
        | ~ ndr1_0
        | c0_1(X200)
        | c3_1(X200)
        | ~ c2_1(X200) )
      & ( ~ ndr1_0
        | ~ c0_1(X199)
        | ~ c1_1(X199)
        | ~ c2_1(X199)
        | ~ ndr1_0
        | c1_1(X198)
        | c2_1(X198)
        | ~ c3_1(X198)
        | ~ ndr1_0
        | c0_1(X197)
        | c3_1(X197)
        | ~ c2_1(X197) )
      & ( ~ ndr1_0
        | ~ c1_1(X196)
        | ~ c2_1(X196)
        | ~ c3_1(X196)
        | ~ ndr1_0
        | c0_1(X195)
        | c3_1(X195)
        | ~ c1_1(X195)
        | hskp16 )
      & ( ~ ndr1_0
        | ~ c0_1(X194)
        | ~ c2_1(X194)
        | ~ c3_1(X194)
        | ~ ndr1_0
        | c3_1(X193)
        | ~ c1_1(X193)
        | ~ c2_1(X193)
        | ~ ndr1_0
        | c0_1(X192)
        | c3_1(X192)
        | ~ c1_1(X192) )
      & ( ~ ndr1_0
        | c0_1(X191)
        | c2_1(X191)
        | ~ c3_1(X191)
        | hskp10
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X190)
        | c2_1(X190)
        | ~ c3_1(X190)
        | hskp14
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X189)
        | ~ c0_1(X189)
        | ~ c2_1(X189)
        | ~ ndr1_0
        | c0_1(X188)
        | c2_1(X188)
        | ~ c3_1(X188)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X187)
        | c3_1(X187)
        | ~ c1_1(X187)
        | ~ ndr1_0
        | c0_1(X186)
        | c2_1(X186)
        | ~ c3_1(X186)
        | hskp29 )
      & ( ~ ndr1_0
        | c1_1(X185)
        | c2_1(X185)
        | ~ c0_1(X185)
        | ~ ndr1_0
        | c0_1(X184)
        | ~ c1_1(X184)
        | ~ c2_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | c2_1(X183)
        | ~ c3_1(X183) )
      & ( ~ ndr1_0
        | c0_1(X182)
        | c3_1(X182)
        | ~ c2_1(X182)
        | ~ ndr1_0
        | c0_1(X181)
        | c2_1(X181)
        | ~ c3_1(X181)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X180)
        | c2_1(X180)
        | ~ c1_1(X180)
        | hskp28
        | hskp3 )
      & ( ~ ndr1_0
        | c3_1(X179)
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ ndr1_0
        | c0_1(X178)
        | c2_1(X178)
        | ~ c1_1(X178)
        | hskp28 )
      & ( ~ ndr1_0
        | c1_1(X177)
        | c2_1(X177)
        | ~ c0_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | c2_1(X176)
        | ~ c1_1(X176)
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | c2_1(X175)
        | ~ c3_1(X175)
        | ~ ndr1_0
        | c0_1(X174)
        | c2_1(X174)
        | ~ c1_1(X174)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X173)
        | ~ c0_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c0_1(X172)
        | c2_1(X172)
        | ~ c3_1(X172)
        | ~ ndr1_0
        | c0_1(X171)
        | c2_1(X171)
        | ~ c1_1(X171) )
      & ( ~ ndr1_0
        | c0_1(X170)
        | c2_1(X170)
        | c3_1(X170)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X169)
        | c2_1(X169)
        | c3_1(X169)
        | hskp9
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X168)
        | c2_1(X168)
        | c3_1(X168)
        | hskp29
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | ~ c3_1(X167)
        | ~ ndr1_0
        | c0_1(X166)
        | c2_1(X166)
        | c3_1(X166)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X165)
        | c1_1(X165)
        | ~ c3_1(X165)
        | hskp28
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X164)
        | ~ c0_1(X164)
        | ~ c1_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | c1_1(X163)
        | ~ c3_1(X163)
        | hskp7 )
      & ( ~ ndr1_0
        | c1_1(X162)
        | ~ c0_1(X162)
        | ~ c3_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c1_1(X161)
        | ~ c3_1(X161)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X160)
        | ~ c2_1(X160)
        | ~ c3_1(X160)
        | ~ ndr1_0
        | c1_1(X159)
        | c2_1(X159)
        | ~ c3_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c1_1(X158)
        | ~ c3_1(X158) )
      & ( ~ ndr1_0
        | c3_1(X157)
        | ~ c1_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c1_1(X155)
        | ~ c3_1(X155) )
      & ( ~ ndr1_0
        | ~ c0_1(X154)
        | ~ c1_1(X154)
        | ~ c2_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c1_1(X153)
        | ~ c2_1(X153)
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X152)
        | ~ c0_1(X152)
        | ~ c2_1(X152)
        | ~ ndr1_0
        | c0_1(X151)
        | c1_1(X151)
        | ~ c2_1(X151)
        | hskp27 )
      & ( ~ ndr1_0
        | ~ c1_1(X150)
        | ~ c2_1(X150)
        | ~ c3_1(X150)
        | ~ ndr1_0
        | c1_1(X149)
        | ~ c0_1(X149)
        | ~ c2_1(X149)
        | ~ ndr1_0
        | c0_1(X148)
        | c1_1(X148)
        | ~ c2_1(X148) )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c1_1(X147)
        | ~ ndr1_0
        | c0_1(X146)
        | c1_1(X146)
        | ~ c2_1(X146)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X145)
        | c3_1(X145)
        | ~ c1_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c1_1(X144)
        | c3_1(X144)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c1_1(X143)
        | c2_1(X143)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c3_1(X142)
        | ~ c0_1(X142)
        | ~ c1_1(X142)
        | ~ ndr1_0
        | c0_1(X141)
        | c1_1(X141)
        | c2_1(X141)
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X140)
        | c3_1(X140)
        | ~ c1_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c1_1(X139)
        | c2_1(X139)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c3_1(X138)
        | ~ c2_1(X138)
        | ~ ndr1_0
        | c0_1(X137)
        | c1_1(X137)
        | c2_1(X137)
        | hskp27 )
      & ( ~ ndr1_0
        | c2_1(X136)
        | c3_1(X136)
        | ~ c0_1(X136)
        | ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | ~ c1_1(X135)
        | ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | c2_1(X134) )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c2_1(X133)
        | ~ c3_1(X133)
        | ~ ndr1_0
        | c0_1(X132)
        | c2_1(X132)
        | ~ c1_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c1_1(X131)
        | c2_1(X131) )
      & ( ~ ndr1_0
        | c2_1(X130)
        | ~ c1_1(X130)
        | ~ c3_1(X130)
        | ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | c3_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | c2_1(X128) )
      & ( ndr1_0
        | ~ hskp0 )
      & ( c2_1(a123)
        | ~ hskp0 )
      & ( ~ c0_1(a123)
        | ~ hskp0 )
      & ( ~ c1_1(a123)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c1_1(a124)
        | ~ hskp1 )
      & ( c2_1(a124)
        | ~ hskp1 )
      & ( ~ c3_1(a124)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c1_1(a125)
        | ~ hskp2 )
      & ( c2_1(a125)
        | ~ hskp2 )
      & ( ~ c0_1(a125)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c1_1(a127)
        | ~ hskp3 )
      & ( ~ c2_1(a127)
        | ~ hskp3 )
      & ( ~ c3_1(a127)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a128)
        | ~ hskp4 )
      & ( c1_1(a128)
        | ~ hskp4 )
      & ( ~ c3_1(a128)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( ~ c0_1(a130)
        | ~ hskp5 )
      & ( ~ c1_1(a130)
        | ~ hskp5 )
      & ( ~ c3_1(a130)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( ~ c0_1(a131)
        | ~ hskp6 )
      & ( ~ c1_1(a131)
        | ~ hskp6 )
      & ( ~ c2_1(a131)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c3_1(a132)
        | ~ hskp7 )
      & ( ~ c0_1(a132)
        | ~ hskp7 )
      & ( ~ c2_1(a132)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c2_1(a134)
        | ~ hskp8 )
      & ( ~ c0_1(a134)
        | ~ hskp8 )
      & ( ~ c3_1(a134)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c0_1(a138)
        | ~ hskp9 )
      & ( c1_1(a138)
        | ~ hskp9 )
      & ( ~ c2_1(a138)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c0_1(a140)
        | ~ hskp10 )
      & ( ~ c2_1(a140)
        | ~ hskp10 )
      & ( ~ c3_1(a140)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( ~ c1_1(a141)
        | ~ hskp11 )
      & ( ~ c2_1(a141)
        | ~ hskp11 )
      & ( ~ c3_1(a141)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c0_1(a142)
        | ~ hskp12 )
      & ( c3_1(a142)
        | ~ hskp12 )
      & ( ~ c1_1(a142)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c2_1(a143)
        | ~ hskp13 )
      & ( c3_1(a143)
        | ~ hskp13 )
      & ( ~ c1_1(a143)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c0_1(a147)
        | ~ hskp14 )
      & ( ~ c1_1(a147)
        | ~ hskp14 )
      & ( ~ c3_1(a147)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c2_1(a153)
        | ~ hskp15 )
      & ( c3_1(a153)
        | ~ hskp15 )
      & ( ~ c0_1(a153)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c1_1(a154)
        | ~ hskp16 )
      & ( c3_1(a154)
        | ~ hskp16 )
      & ( ~ c0_1(a154)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c1_1(a155)
        | ~ hskp17 )
      & ( ~ c0_1(a155)
        | ~ hskp17 )
      & ( ~ c2_1(a155)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c3_1(a160)
        | ~ hskp18 )
      & ( ~ c1_1(a160)
        | ~ hskp18 )
      & ( ~ c2_1(a160)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a164)
        | ~ hskp19 )
      & ( c3_1(a164)
        | ~ hskp19 )
      & ( ~ c2_1(a164)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a168)
        | ~ hskp20 )
      & ( ~ c0_1(a168)
        | ~ hskp20 )
      & ( ~ c3_1(a168)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c0_1(a170)
        | ~ hskp21 )
      & ( c2_1(a170)
        | ~ hskp21 )
      & ( ~ c1_1(a170)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a176)
        | ~ hskp22 )
      & ( ~ c1_1(a176)
        | ~ hskp22 )
      & ( ~ c2_1(a176)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c2_1(a179)
        | ~ hskp23 )
      & ( ~ c1_1(a179)
        | ~ hskp23 )
      & ( ~ c3_1(a179)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( ~ c0_1(a182)
        | ~ hskp24 )
      & ( ~ c2_1(a182)
        | ~ hskp24 )
      & ( ~ c3_1(a182)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c3_1(a189)
        | ~ hskp25 )
      & ( ~ c0_1(a189)
        | ~ hskp25 )
      & ( ~ c1_1(a189)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a225)
        | ~ hskp26 )
      & ( c2_1(a225)
        | ~ hskp26 )
      & ( ~ c3_1(a225)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a122)
        | ~ hskp27 )
      & ( c2_1(a122)
        | ~ hskp27 )
      & ( c3_1(a122)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c1_1(a133)
        | ~ hskp28 )
      & ( c2_1(a133)
        | ~ hskp28 )
      & ( c3_1(a133)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a136)
        | ~ hskp29 )
      & ( c1_1(a136)
        | ~ hskp29 )
      & ( c2_1(a136)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c0_1(a167)
        | ~ hskp30 )
      & ( c1_1(a167)
        | ~ hskp30 )
      & ( c3_1(a167)
        | ~ hskp30 )
      & ( hskp30
        | hskp9
        | hskp6 )
      & ( hskp27
        | hskp3
        | hskp15 )
      & ( hskp21
        | hskp20
        | hskp6 )
      & ( hskp26
        | hskp20
        | hskp15 )
      & ( hskp12
        | hskp19
        | hskp13 )
      & ( hskp2
        | hskp19
        | hskp8 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp8
    | hskp19
    | hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( hskp13
    | hskp19
    | hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(10,negated_conjecture,
    ( hskp15
    | hskp20
    | hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp6
    | hskp20
    | hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( hskp15
    | hskp3
    | hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( hskp6
    | hskp9
    | hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( c3_1(a167)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(15,negated_conjecture,
    ( c1_1(a167)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(16,negated_conjecture,
    ( c0_1(a167)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c2_1(a136)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(19,negated_conjecture,
    ( c1_1(a136)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( c0_1(a136)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c3_1(a133)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( c2_1(a133)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( c1_1(a133)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c3_1(a122)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( c2_1(a122)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(28,negated_conjecture,
    ( c0_1(a122)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a225) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(31,negated_conjecture,
    ( c2_1(a225)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(32,negated_conjecture,
    ( c0_1(a225)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a189) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(35,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a189) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(36,negated_conjecture,
    ( c3_1(a189)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a182) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(39,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a182) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a182) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a179) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(43,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a179) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(44,negated_conjecture,
    ( c2_1(a179)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a176) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(47,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a176) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( c0_1(a176)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a170) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(51,negated_conjecture,
    ( c2_1(a170)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( c0_1(a170)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a168) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(55,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a168) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(56,negated_conjecture,
    ( c1_1(a168)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a164) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( c3_1(a164)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(60,negated_conjecture,
    ( c1_1(a164)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(61,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a160) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a160) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(64,negated_conjecture,
    ( c3_1(a160)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a155) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a155) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(68,negated_conjecture,
    ( c1_1(a155)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a154) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(71,negated_conjecture,
    ( c3_1(a154)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(72,negated_conjecture,
    ( c1_1(a154)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a153) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(75,negated_conjecture,
    ( c3_1(a153)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(76,negated_conjecture,
    ( c2_1(a153)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a143) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(83,negated_conjecture,
    ( c3_1(a143)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(84,negated_conjecture,
    ( c2_1(a143)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a142) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(87,negated_conjecture,
    ( c3_1(a142)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(88,negated_conjecture,
    ( c0_1(a142)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a141) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(91,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a141) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a141) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a140) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a140) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(96,negated_conjecture,
    ( c0_1(a140)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a138) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( c1_1(a138)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(100,negated_conjecture,
    ( c0_1(a138)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a134) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(103,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a134) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(104,negated_conjecture,
    ( c2_1(a134)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a132) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(107,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a132) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(108,negated_conjecture,
    ( c3_1(a132)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a131) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(111,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a131) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(112,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a131) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a130) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a130) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a130) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a128) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(119,negated_conjecture,
    ( c1_1(a128)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(120,negated_conjecture,
    ( c0_1(a128)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a127) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(123,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a127) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( c1_1(a127)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a125) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(127,negated_conjecture,
    ( c2_1(a125)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(128,negated_conjecture,
    ( c1_1(a125)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a124) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(131,negated_conjecture,
    ( c2_1(a124)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( c1_1(a124)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a123) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a123) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(136,negated_conjecture,
    ( c2_1(a123)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(139,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(141,negated_conjecture,
    ( hskp27
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(143,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(144,negated_conjecture,
    ( hskp1
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

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

cnf(149,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(152,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(153,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(154,negated_conjecture,
    ( hskp8
    | hskp28
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(155,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(156,negated_conjecture,
    ( hskp7
    | hskp29
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(157,negated_conjecture,
    ( hskp7
    | hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(160,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(163,negated_conjecture,
    ( hskp3
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(167,negated_conjecture,
    ( hskp12
    | 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(171,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(175,negated_conjecture,
    ( hskp0
    | hskp17
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(177,negated_conjecture,
    ( hskp7
    | hskp29
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(178,negated_conjecture,
    ( hskp18
    | hskp0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp16
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp17
    | hskp19
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(183,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp20
    | hskp30
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(185,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(186,negated_conjecture,
    ( hskp6
    | hskp21
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(187,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( hskp7
    | hskp0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp7
    | hskp22
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(191,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(192,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(194,negated_conjecture,
    ( hskp24
    | hskp15
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(195,negated_conjecture,
    ( hskp22
    | hskp9
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(196,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(197,negated_conjecture,
    ( hskp3
    | hskp1
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(198,negated_conjecture,
    ( hskp6
    | hskp25
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(199,negated_conjecture,
    ( hskp13
    | hskp17
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(200,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(201,negated_conjecture,
    ( hskp13
    | hskp15
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(202,negated_conjecture,
    ( hskp11
    | hskp12
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(203,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(205,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(208,negated_conjecture,
    ( hskp10
    | hskp22
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(209,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(210,negated_conjecture,
    ( hskp8
    | hskp9
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(211,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(212,negated_conjecture,
    ( ndr1_0
    | hskp19
    | hskp8 ),
    inference(spm,[status(thm)],[129,8,theory(equality)]) ).

cnf(1086,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[185,153]) ).

cnf(1377,negated_conjecture,
    ( hskp19
    | ndr1_0 ),
    inference(csr,[status(thm)],[212,105]) ).

cnf(1378,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[1377,61]) ).

cnf(1379,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[189,1378,theory(equality)]) ).

cnf(1380,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1379,theory(equality)]) ).

cnf(1383,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[147,1378,theory(equality)]) ).

cnf(1384,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1383,theory(equality)]) ).

cnf(1391,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,1378,theory(equality)]) ).

cnf(1392,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1391,theory(equality)]) ).

cnf(1393,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | $false ),
    inference(rw,[status(thm)],[151,1378,theory(equality)]) ).

cnf(1394,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X3) ),
    inference(cn,[status(thm)],[1393,theory(equality)]) ).

cnf(1399,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[173,1378,theory(equality)]) ).

cnf(1400,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1399,theory(equality)]) ).

cnf(1403,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X3)
    | $false ),
    inference(rw,[status(thm)],[159,1378,theory(equality)]) ).

cnf(1404,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[1403,theory(equality)]) ).

cnf(1409,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[139,1378,theory(equality)]) ).

cnf(1410,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1409,theory(equality)]) ).

cnf(1411,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[171,1378,theory(equality)]) ).

cnf(1412,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1411,theory(equality)]) ).

cnf(1413,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[1086,1378,theory(equality)]) ).

cnf(1414,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1413,theory(equality)]) ).

cnf(1415,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[183,1378,theory(equality)]) ).

cnf(1416,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1415,theory(equality)]) ).

cnf(1417,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[149,1378,theory(equality)]) ).

cnf(1418,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1417,theory(equality)]) ).

cnf(1419,negated_conjecture,
    ( hskp28
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[162,1378,theory(equality)]) ).

cnf(1420,negated_conjecture,
    ( hskp28
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1419,theory(equality)]) ).

cnf(1423,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[167,1378,theory(equality)]) ).

cnf(1424,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1423,theory(equality)]) ).

cnf(1425,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[192,1378,theory(equality)]) ).

cnf(1426,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1425,theory(equality)]) ).

cnf(1427,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[155,1378,theory(equality)]) ).

cnf(1428,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1427,theory(equality)]) ).

cnf(1429,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[152,1378,theory(equality)]) ).

cnf(1430,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1429,theory(equality)]) ).

cnf(1431,negated_conjecture,
    ( hskp29
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[166,1378,theory(equality)]) ).

cnf(1432,negated_conjecture,
    ( hskp29
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1431,theory(equality)]) ).

cnf(1435,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,1378,theory(equality)]) ).

cnf(1436,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1435,theory(equality)]) ).

cnf(1437,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[179,1378,theory(equality)]) ).

cnf(1438,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1437,theory(equality)]) ).

cnf(1439,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[160,1378,theory(equality)]) ).

cnf(1440,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1439,theory(equality)]) ).

cnf(1441,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[146,1378,theory(equality)]) ).

cnf(1442,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1441,theory(equality)]) ).

cnf(1443,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[143,1378,theory(equality)]) ).

cnf(1444,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1443,theory(equality)]) ).

cnf(1445,negated_conjecture,
    ( hskp27
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[141,1378,theory(equality)]) ).

cnf(1446,negated_conjecture,
    ( hskp27
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1445,theory(equality)]) ).

cnf(1449,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[142,1378,theory(equality)]) ).

cnf(1450,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1449,theory(equality)]) ).

cnf(1453,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[208,1378,theory(equality)]) ).

cnf(1454,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1453,theory(equality)]) ).

cnf(1455,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[210,1378,theory(equality)]) ).

cnf(1456,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1455,theory(equality)]) ).

cnf(1457,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[211,1378,theory(equality)]) ).

cnf(1458,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1457,theory(equality)]) ).

cnf(1459,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[209,1378,theory(equality)]) ).

cnf(1460,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1459,theory(equality)]) ).

cnf(1463,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[200,1378,theory(equality)]) ).

cnf(1464,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1463,theory(equality)]) ).

cnf(1467,negated_conjecture,
    ( hskp17
    | hskp13
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[199,1378,theory(equality)]) ).

cnf(1468,negated_conjecture,
    ( hskp17
    | hskp13
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1467,theory(equality)]) ).

cnf(1469,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[201,1378,theory(equality)]) ).

cnf(1470,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1469,theory(equality)]) ).

cnf(1471,negated_conjecture,
    ( hskp12
    | hskp11
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[202,1378,theory(equality)]) ).

cnf(1472,negated_conjecture,
    ( hskp12
    | hskp11
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1471,theory(equality)]) ).

cnf(1473,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[196,1378,theory(equality)]) ).

cnf(1474,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1473,theory(equality)]) ).

cnf(1475,negated_conjecture,
    ( hskp22
    | hskp9
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[195,1378,theory(equality)]) ).

cnf(1476,negated_conjecture,
    ( hskp22
    | hskp9
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1475,theory(equality)]) ).

cnf(1477,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[191,1378,theory(equality)]) ).

cnf(1478,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1477,theory(equality)]) ).

cnf(1479,negated_conjecture,
    ( hskp29
    | hskp7
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[177,1378,theory(equality)]) ).

cnf(1480,negated_conjecture,
    ( hskp29
    | hskp7
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1479,theory(equality)]) ).

cnf(1481,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[203,1378,theory(equality)]) ).

cnf(1482,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1481,theory(equality)]) ).

cnf(1483,negated_conjecture,
    ( hskp22
    | hskp7
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[190,1378,theory(equality)]) ).

cnf(1484,negated_conjecture,
    ( hskp22
    | hskp7
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1483,theory(equality)]) ).

cnf(1485,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[198,1378,theory(equality)]) ).

cnf(1486,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1485,theory(equality)]) ).

cnf(1487,negated_conjecture,
    ( hskp21
    | hskp6
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,1378,theory(equality)]) ).

cnf(1488,negated_conjecture,
    ( hskp21
    | hskp6
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1487,theory(equality)]) ).

cnf(1489,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[187,1378,theory(equality)]) ).

cnf(1490,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1489,theory(equality)]) ).

cnf(1491,negated_conjecture,
    ( hskp3
    | hskp1
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[197,1378,theory(equality)]) ).

cnf(1492,negated_conjecture,
    ( hskp3
    | hskp1
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1491,theory(equality)]) ).

cnf(1493,negated_conjecture,
    ( hskp18
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[178,1378,theory(equality)]) ).

cnf(1494,negated_conjecture,
    ( hskp18
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1493,theory(equality)]) ).

cnf(1495,negated_conjecture,
    ( hskp17
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[175,1378,theory(equality)]) ).

cnf(1496,negated_conjecture,
    ( hskp17
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1495,theory(equality)]) ).

cnf(1497,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,1378,theory(equality)]) ).

cnf(1498,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1497,theory(equality)]) ).

cnf(1499,negated_conjecture,
    ( hskp30
    | hskp20
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,1378,theory(equality)]) ).

cnf(1500,negated_conjecture,
    ( hskp30
    | hskp20
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1499,theory(equality)]) ).

cnf(1501,negated_conjecture,
    ( hskp19
    | hskp17
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,1378,theory(equality)]) ).

cnf(1502,negated_conjecture,
    ( hskp19
    | hskp17
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1501,theory(equality)]) ).

cnf(1503,negated_conjecture,
    ( hskp24
    | hskp15
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[194,1378,theory(equality)]) ).

cnf(1504,negated_conjecture,
    ( hskp24
    | hskp15
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1503,theory(equality)]) ).

cnf(1507,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[154,1378,theory(equality)]) ).

cnf(1508,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1507,theory(equality)]) ).

cnf(1511,negated_conjecture,
    ( hskp28
    | hskp3
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[163,1378,theory(equality)]) ).

cnf(1512,negated_conjecture,
    ( hskp28
    | hskp3
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1511,theory(equality)]) ).

cnf(1515,negated_conjecture,
    ( hskp29
    | hskp7
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[156,1378,theory(equality)]) ).

cnf(1516,negated_conjecture,
    ( hskp29
    | hskp7
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[1515,theory(equality)]) ).

cnf(1517,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[157,1378,theory(equality)]) ).

cnf(1518,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[1517,theory(equality)]) ).

cnf(1519,negated_conjecture,
    ( hskp16
    | hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,1378,theory(equality)]) ).

cnf(1520,negated_conjecture,
    ( hskp16
    | hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[1519,theory(equality)]) ).

cnf(1521,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[144,1378,theory(equality)]) ).

cnf(1522,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[1521,theory(equality)]) ).

cnf(1523,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[205,1378,theory(equality)]) ).

cnf(1524,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1523,theory(equality)]) ).

cnf(1556,negated_conjecture,
    ( hskp22
    | ~ hskp1
    | ~ c1_1(a124)
    | ~ c2_1(a124) ),
    inference(spm,[status(thm)],[130,1524,theory(equality)]) ).

cnf(1558,negated_conjecture,
    ( hskp22
    | ~ hskp4
    | ~ c1_1(a128)
    | ~ c2_1(a128) ),
    inference(spm,[status(thm)],[118,1524,theory(equality)]) ).

cnf(1560,negated_conjecture,
    ( hskp22
    | ~ hskp8
    | ~ c1_1(a134)
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[102,1524,theory(equality)]) ).

cnf(1564,negated_conjecture,
    ( hskp22
    | ~ hskp20
    | ~ c1_1(a168)
    | ~ c2_1(a168) ),
    inference(spm,[status(thm)],[54,1524,theory(equality)]) ).

cnf(1567,negated_conjecture,
    ( hskp22
    | ~ hskp26
    | ~ c1_1(a225)
    | ~ c2_1(a225) ),
    inference(spm,[status(thm)],[30,1524,theory(equality)]) ).

cnf(1578,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | ~ c3_1(a167)
    | ~ c3_1(X2)
    | ~ c1_1(a167)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1380,16,theory(equality)]) ).

cnf(1579,negated_conjecture,
    ( hskp22
    | ~ hskp1
    | ~ c1_1(a124) ),
    inference(csr,[status(thm)],[1556,131]) ).

cnf(1580,negated_conjecture,
    ( hskp22
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1579,132]) ).

cnf(1583,negated_conjecture,
    ( hskp22
    | ~ hskp4
    | ~ c2_1(a128) ),
    inference(csr,[status(thm)],[1558,119]) ).

cnf(1586,negated_conjecture,
    ( hskp22
    | ~ hskp8
    | ~ c1_1(a134) ),
    inference(csr,[status(thm)],[1560,104]) ).

cnf(1615,negated_conjecture,
    ( hskp22
    | ~ hskp20
    | ~ c2_1(a168) ),
    inference(csr,[status(thm)],[1564,56]) ).

cnf(1620,negated_conjecture,
    ( hskp22
    | ~ hskp26
    | ~ c1_1(a225) ),
    inference(csr,[status(thm)],[1567,31]) ).

cnf(1634,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ c3_1(a136)
    | ~ c1_1(a136)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1454,20,theory(equality)]) ).

cnf(1635,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ c3_1(a167)
    | ~ c1_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1454,16,theory(equality)]) ).

cnf(1645,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ c1_1(a133)
    | ~ c0_1(X1)
    | ~ c2_1(a133)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1384,22,theory(equality)]) ).

cnf(1667,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a153)
    | ~ c2_1(a153)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1456,75,theory(equality)]) ).

cnf(1672,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a122)
    | ~ c2_1(a122)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1456,26,theory(equality)]) ).

cnf(1673,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a133)
    | ~ c2_1(a133)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1456,22,theory(equality)]) ).

cnf(1674,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a167)
    | ~ c2_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1456,14,theory(equality)]) ).

cnf(1675,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp22
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1456,1524,theory(equality)]) ).

cnf(1709,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(a153)
    | ~ c2_1(a153)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1458,75,theory(equality)]) ).

cnf(1714,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(a122)
    | ~ c2_1(a122)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1458,26,theory(equality)]) ).

cnf(1715,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(a133)
    | ~ c2_1(a133)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1458,22,theory(equality)]) ).

cnf(1716,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(a167)
    | ~ c2_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1458,14,theory(equality)]) ).

cnf(1730,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp29
    | ~ c3_1(a136) ),
    inference(csr,[status(thm)],[1634,19]) ).

cnf(1731,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp29
    | ~ c1_1(a136)
    | ~ c2_1(a136) ),
    inference(spm,[status(thm)],[1730,1524,theory(equality)]) ).

cnf(1732,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp30
    | ~ c3_1(a167) ),
    inference(csr,[status(thm)],[1635,15]) ).

cnf(1733,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1732,14]) ).

cnf(1753,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ c3_1(a136)
    | ~ c1_1(a136)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1460,20,theory(equality)]) ).

cnf(1767,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp15
    | ~ c1_1(a153) ),
    inference(csr,[status(thm)],[1667,76]) ).

cnf(1778,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp27
    | ~ c1_1(a122) ),
    inference(csr,[status(thm)],[1672,27]) ).

cnf(1779,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp28
    | ~ c1_1(a133) ),
    inference(csr,[status(thm)],[1673,23]) ).

cnf(1780,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1779,24]) ).

cnf(1804,negated_conjecture,
    ( c3_1(X1)
    | c1_1(a160)
    | c0_1(X1)
    | c2_1(a160)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1392,64,theory(equality)]) ).

cnf(1821,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp30
    | ~ c2_1(a167) ),
    inference(csr,[status(thm)],[1674,15]) ).

cnf(1828,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(a132)
    | ~ c1_1(a132)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1464,108,theory(equality)]) ).

cnf(1834,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(a164)
    | ~ c1_1(a164)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1464,59,theory(equality)]) ).

cnf(1838,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(a167)
    | ~ c1_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1464,14,theory(equality)]) ).

cnf(1843,negated_conjecture,
    ( c1_1(a143)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(a143)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1394,83,theory(equality)]) ).

cnf(1867,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp15
    | ~ c1_1(a153) ),
    inference(csr,[status(thm)],[1709,76]) ).

cnf(1921,negated_conjecture,
    ( hskp17
    | hskp13
    | c2_1(a132)
    | ~ c1_1(a132)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1468,108,theory(equality)]) ).

cnf(1927,negated_conjecture,
    ( hskp17
    | hskp13
    | c2_1(a164)
    | ~ c1_1(a164)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1468,59,theory(equality)]) ).

cnf(1955,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp27
    | ~ c1_1(a122) ),
    inference(csr,[status(thm)],[1714,27]) ).

cnf(1956,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp28
    | ~ c1_1(a133) ),
    inference(csr,[status(thm)],[1715,23]) ).

cnf(1957,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1956,24]) ).

cnf(1958,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp30
    | ~ c2_1(a167) ),
    inference(csr,[status(thm)],[1716,15]) ).

cnf(1963,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(a154)
    | ~ c1_1(a154)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1470,71,theory(equality)]) ).

cnf(1965,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(a164)
    | ~ c1_1(a164)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1470,59,theory(equality)]) ).

cnf(1969,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(a167)
    | ~ c1_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1470,14,theory(equality)]) ).

cnf(1973,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(a132)
    | c2_1(X1)
    | ~ c1_1(a132)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1400,108,theory(equality)]) ).

cnf(1995,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp29
    | ~ c1_1(a136) ),
    inference(csr,[status(thm)],[1731,18]) ).

cnf(1996,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1995,19]) ).

cnf(2004,negated_conjecture,
    ( hskp12
    | hskp11
    | c3_1(a128)
    | ~ c1_1(a128)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1472,120,theory(equality)]) ).

cnf(2005,negated_conjecture,
    ( hskp12
    | hskp11
    | c3_1(a138)
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1472,100,theory(equality)]) ).

cnf(2040,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp8
    | ~ c2_1(a136)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1675,19,theory(equality)]) ).

cnf(2052,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(a138)
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1474,100,theory(equality)]) ).

cnf(2061,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(a167)
    | ~ c1_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1474,16,theory(equality)]) ).

cnf(2065,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(a142)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(a142)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1404,88,theory(equality)]) ).

cnf(2084,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp8
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2040,18]) ).

cnf(2086,negated_conjecture,
    ( hskp22
    | hskp9
    | c2_1(a128)
    | ~ c1_1(a128)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1476,120,theory(equality)]) ).

cnf(2088,negated_conjecture,
    ( hskp22
    | hskp9
    | c2_1(a140)
    | ~ c1_1(a140)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1476,96,theory(equality)]) ).

cnf(2137,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a142)
    | ~ c2_1(a142)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1478,87,theory(equality)]) ).

cnf(2138,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a143)
    | ~ c2_1(a143)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1478,83,theory(equality)]) ).

cnf(2139,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a153)
    | ~ c2_1(a153)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1478,75,theory(equality)]) ).

cnf(2144,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a122)
    | ~ c2_1(a122)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1478,26,theory(equality)]) ).

cnf(2182,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp15
    | ~ c3_1(a153)
    | ~ c2_1(a153) ),
    inference(spm,[status(thm)],[74,1480,theory(equality)]) ).

cnf(2183,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp16
    | ~ c3_1(a154)
    | ~ c2_1(a154) ),
    inference(spm,[status(thm)],[70,1480,theory(equality)]) ).

cnf(2201,negated_conjecture,
    ( c1_1(X1)
    | c0_1(a132)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(a132)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1410,108,theory(equality)]) ).

cnf(2238,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a128)
    | ~ c1_1(a128)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1482,120,theory(equality)]) ).

cnf(2239,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a138)
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1482,100,theory(equality)]) ).

cnf(2240,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a140)
    | ~ c1_1(a140)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1482,96,theory(equality)]) ).

cnf(2247,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a136)
    | ~ c1_1(a136)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1482,20,theory(equality)]) ).

cnf(2259,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(a133)
    | ~ c1_1(X1)
    | ~ c2_1(a133)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1412,22,theory(equality)]) ).

cnf(2260,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(a167)
    | ~ c1_1(X1)
    | ~ c2_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1412,14,theory(equality)]) ).

cnf(2267,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp15
    | ~ c3_1(a153) ),
    inference(csr,[status(thm)],[2182,76]) ).

cnf(2268,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2267,75]) ).

cnf(2269,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp7
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1996,2268,theory(equality)]) ).

cnf(2283,negated_conjecture,
    ( hskp22
    | hskp7
    | c1_1(a189)
    | ~ c2_1(a189)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1484,36,theory(equality)]) ).

cnf(2291,negated_conjecture,
    ( hskp7
    | c1_1(a142)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1414,87,theory(equality)]) ).

cnf(2292,negated_conjecture,
    ( hskp7
    | c1_1(a143)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1414,83,theory(equality)]) ).

cnf(2295,negated_conjecture,
    ( hskp7
    | c1_1(a160)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1414,64,theory(equality)]) ).

cnf(2297,negated_conjecture,
    ( hskp7
    | c1_1(a189)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1414,36,theory(equality)]) ).

cnf(2304,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp16
    | ~ c2_1(a154) ),
    inference(csr,[status(thm)],[2183,71]) ).

cnf(2314,negated_conjecture,
    ( hskp19
    | hskp2
    | ~ hskp29
    | ~ c3_1(a136) ),
    inference(csr,[status(thm)],[1753,19]) ).

cnf(2315,negated_conjecture,
    ( hskp19
    | hskp2
    | hskp22
    | ~ hskp29
    | ~ c1_1(a136)
    | ~ c2_1(a136) ),
    inference(spm,[status(thm)],[2314,1524,theory(equality)]) ).

cnf(2322,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(a138)
    | ~ c3_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1486,100,theory(equality)]) ).

cnf(2324,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(a142)
    | ~ c3_1(a142)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1486,88,theory(equality)]) ).

cnf(2331,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(a167)
    | ~ c3_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1486,16,theory(equality)]) ).

cnf(2338,negated_conjecture,
    ( hskp6
    | c1_1(a160)
    | c2_1(a160)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1416,64,theory(equality)]) ).

cnf(2359,negated_conjecture,
    ( hskp24
    | hskp17
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(csr,[status(thm)],[1828,106]) ).

cnf(2363,negated_conjecture,
    ( hskp21
    | hskp6
    | c1_1(a142)
    | ~ c3_1(a142)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1488,88,theory(equality)]) ).

cnf(2381,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(a136)
    | ~ c2_1(a136)
    | ~ c2_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1418,20,theory(equality)]) ).

cnf(2418,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a122)
    | ~ c3_1(a122)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1490,28,theory(equality)]) ).

cnf(2421,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(X1)
    | hskp29
    | hskp7
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1490,1480,theory(equality)]) ).

cnf(2422,negated_conjecture,
    ( hskp28
    | c3_1(a128)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(a128)
    | ~ c1_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1420,120,theory(equality)]) ).

cnf(2455,negated_conjecture,
    ( hskp3
    | hskp1
    | c2_1(a167)
    | ~ c3_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1492,16,theory(equality)]) ).

cnf(2472,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(a164)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1834,60]) ).

cnf(2473,negated_conjecture,
    ( hskp24
    | hskp17
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2472,58]) ).

cnf(2483,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(a167)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1838,15]) ).

cnf(2489,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp2
    | ~ c3_1(a125)
    | ~ c2_1(a125) ),
    inference(spm,[status(thm)],[126,1494,theory(equality)]) ).

cnf(2494,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp15
    | ~ c3_1(a153)
    | ~ c2_1(a153) ),
    inference(spm,[status(thm)],[74,1494,theory(equality)]) ).

cnf(2495,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp16
    | ~ c3_1(a154)
    | ~ c2_1(a154) ),
    inference(spm,[status(thm)],[70,1494,theory(equality)]) ).

cnf(2499,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp25
    | ~ c3_1(a189)
    | ~ c2_1(a189) ),
    inference(spm,[status(thm)],[35,1494,theory(equality)]) ).

cnf(2517,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(X1)
    | hskp18
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1490,1494,theory(equality)]) ).

cnf(2526,negated_conjecture,
    ( hskp12
    | c3_1(a170)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a170)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1424,52,theory(equality)]) ).

cnf(2528,negated_conjecture,
    ( hskp12
    | c3_1(a225)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a225)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1424,32,theory(equality)]) ).

cnf(2534,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp2
    | ~ c3_1(a125) ),
    inference(csr,[status(thm)],[2489,127]) ).

cnf(2535,negated_conjecture,
    ( hskp18
    | hskp0
    | hskp22
    | ~ hskp2
    | ~ c1_1(a125)
    | ~ c2_1(a125) ),
    inference(spm,[status(thm)],[2534,1524,theory(equality)]) ).

cnf(2550,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp2
    | ~ c3_1(a125)
    | ~ c1_1(a125) ),
    inference(spm,[status(thm)],[126,1496,theory(equality)]) ).

cnf(2553,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp7
    | ~ c3_1(a132)
    | ~ c1_1(a132) ),
    inference(spm,[status(thm)],[107,1496,theory(equality)]) ).

cnf(2555,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp15
    | ~ c3_1(a153)
    | ~ c1_1(a153) ),
    inference(spm,[status(thm)],[74,1496,theory(equality)]) ).

cnf(2556,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp16
    | ~ c3_1(a154)
    | ~ c1_1(a154) ),
    inference(spm,[status(thm)],[70,1496,theory(equality)]) ).

cnf(2564,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp17
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1454,1496,theory(equality)]) ).

cnf(2566,negated_conjecture,
    ( hskp19
    | hskp2
    | hskp17
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1460,1496,theory(equality)]) ).

cnf(2583,negated_conjecture,
    ( hskp9
    | c3_1(a128)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(a128)
    | ~ c1_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1426,120,theory(equality)]) ).

cnf(2600,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp15
    | ~ c3_1(a153) ),
    inference(csr,[status(thm)],[2494,76]) ).

cnf(2601,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2600,75]) ).

cnf(2602,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp16
    | ~ c2_1(a154) ),
    inference(csr,[status(thm)],[2495,71]) ).

cnf(2604,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(csr,[status(thm)],[1921,106]) ).

cnf(2614,negated_conjecture,
    ( hskp7
    | c1_1(a142)
    | hskp0
    | ~ c3_1(a142)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1498,88,theory(equality)]) ).

cnf(2623,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | hskp0
    | hskp18
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1498,1494,theory(equality)]) ).

cnf(2628,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(a142)
    | ~ c2_1(a142)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1428,88,theory(equality)]) ).

cnf(2648,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp25
    | ~ c2_1(a189) ),
    inference(csr,[status(thm)],[2499,36]) ).

cnf(2658,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a130)
    | ~ hskp5
    | ~ c2_1(a130) ),
    inference(spm,[status(thm)],[114,1500,theory(equality)]) ).

cnf(2659,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a134)
    | ~ hskp8
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[102,1500,theory(equality)]) ).

cnf(2664,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a179)
    | ~ hskp23
    | ~ c2_1(a179) ),
    inference(spm,[status(thm)],[42,1500,theory(equality)]) ).

cnf(2666,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a225)
    | ~ hskp26
    | ~ c2_1(a225) ),
    inference(spm,[status(thm)],[30,1500,theory(equality)]) ).

cnf(2681,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(X1)
    | hskp30
    | hskp20
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1478,1500,theory(equality)]) ).

cnf(2694,negated_conjecture,
    ( hskp6
    | c1_1(a142)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(a142)
    | ~ c3_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1430,88,theory(equality)]) ).

cnf(2705,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp2
    | ~ c3_1(a125) ),
    inference(csr,[status(thm)],[2550,128]) ).

cnf(2706,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp22
    | ~ hskp2
    | ~ c1_1(a125)
    | ~ c2_1(a125) ),
    inference(spm,[status(thm)],[2705,1524,theory(equality)]) ).

cnf(2716,negated_conjecture,
    ( hskp17
    | hskp13
    | c2_1(a164)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1927,60]) ).

cnf(2717,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2716,58]) ).

cnf(2723,negated_conjecture,
    ( hskp19
    | hskp17
    | c1_1(a140)
    | c2_1(a140)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1502,96,theory(equality)]) ).

cnf(2727,negated_conjecture,
    ( hskp19
    | hskp17
    | c1_1(a176)
    | c2_1(a176)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1502,48,theory(equality)]) ).

cnf(2737,negated_conjecture,
    ( hskp29
    | c3_1(a127)
    | c0_1(X1)
    | c2_1(a127)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1432,124,theory(equality)]) ).

cnf(2743,negated_conjecture,
    ( hskp29
    | c3_1(a168)
    | c0_1(X1)
    | c2_1(a168)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1432,56,theory(equality)]) ).

cnf(2750,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(csr,[status(thm)],[2553,108]) ).

cnf(2754,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp15
    | ~ c1_1(a153) ),
    inference(csr,[status(thm)],[2555,75]) ).

cnf(2767,negated_conjecture,
    ( hskp24
    | hskp15
    | c2_1(a127)
    | ~ hskp3
    | ~ c1_1(a127) ),
    inference(spm,[status(thm)],[122,1504,theory(equality)]) ).

cnf(2771,negated_conjecture,
    ( hskp24
    | hskp15
    | c2_1(a140)
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(spm,[status(thm)],[94,1504,theory(equality)]) ).

cnf(2788,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(X1)
    | hskp24
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1470,1504,theory(equality)]) ).

cnf(2819,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp16
    | ~ c3_1(a154) ),
    inference(csr,[status(thm)],[2556,72]) ).

cnf(2820,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2819,71]) ).

cnf(2876,negated_conjecture,
    ( hskp13
    | c1_1(a176)
    | c0_1(X1)
    | c2_1(a176)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1436,48,theory(equality)]) ).

cnf(2894,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp5
    | ~ c2_1(a130) ),
    inference(csr,[status(thm)],[2658,115]) ).

cnf(2900,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a131)
    | ~ hskp6
    | ~ c3_1(a131) ),
    inference(spm,[status(thm)],[112,1508,theory(equality)]) ).

cnf(2901,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a132)
    | ~ hskp7
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[107,1508,theory(equality)]) ).

cnf(2903,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a153)
    | ~ hskp15
    | ~ c3_1(a153) ),
    inference(spm,[status(thm)],[74,1508,theory(equality)]) ).

cnf(2908,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a189)
    | ~ hskp25
    | ~ c3_1(a189) ),
    inference(spm,[status(thm)],[35,1508,theory(equality)]) ).

cnf(2932,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | hskp0
    | hskp28
    | hskp8
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[1498,1508,theory(equality)]) ).

cnf(2937,negated_conjecture,
    ( hskp12
    | c3_1(a128)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | ~ c1_1(a128)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1438,120,theory(equality)]) ).

cnf(2953,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a134)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2659,104]) ).

cnf(2954,negated_conjecture,
    ( hskp22
    | hskp30
    | hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1586,2953,theory(equality)]) ).

cnf(2960,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1733,2954,theory(equality)]) ).

cnf(3013,negated_conjecture,
    ( hskp12
    | c0_1(a132)
    | c0_1(X1)
    | c2_1(a132)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1440,108,theory(equality)]) ).

cnf(3040,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(a154)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1963,72]) ).

cnf(3044,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp15
    | hskp13
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2304,3040,theory(equality)]) ).

cnf(3045,negated_conjecture,
    ( hskp18
    | hskp0
    | hskp15
    | hskp13
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2602,3040,theory(equality)]) ).

cnf(3050,negated_conjecture,
    ( hskp28
    | hskp3
    | c2_1(a132)
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(spm,[status(thm)],[107,1512,theory(equality)]) ).

cnf(3054,negated_conjecture,
    ( hskp28
    | hskp3
    | c2_1(a155)
    | ~ hskp17
    | ~ c1_1(a155) ),
    inference(spm,[status(thm)],[67,1512,theory(equality)]) ).

cnf(3055,negated_conjecture,
    ( hskp28
    | hskp3
    | c2_1(a168)
    | ~ hskp20
    | ~ c1_1(a168) ),
    inference(spm,[status(thm)],[55,1512,theory(equality)]) ).

cnf(3093,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a155)
    | c0_1(X1)
    | c2_1(a155)
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1442,68,theory(equality)]) ).

cnf(3100,negated_conjecture,
    ( hskp29
    | hskp13
    | hskp7
    | ~ hskp16 ),
    inference(csr,[status(thm)],[3044,2268]) ).

cnf(3101,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[3045,2601]) ).

cnf(3103,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a179)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2664,44]) ).

cnf(3104,negated_conjecture,
    ( hskp30
    | hskp20
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3103,43]) ).

cnf(3159,negated_conjecture,
    ( c3_1(a128)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(a128)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1444,120,theory(equality)]) ).

cnf(3161,negated_conjecture,
    ( c3_1(a140)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(a140)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1444,96,theory(equality)]) ).

cnf(3186,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(a164)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1965,60]) ).

cnf(3187,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ hskp19 ),
    inference(csr,[status(thm)],[3186,58]) ).

cnf(3200,negated_conjecture,
    ( hskp29
    | hskp7
    | c3_1(a168)
    | c2_1(a168)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[55,1516,theory(equality)]) ).

cnf(3201,negated_conjecture,
    ( hskp29
    | hskp7
    | c3_1(a182)
    | c2_1(a182)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[40,1516,theory(equality)]) ).

cnf(3236,negated_conjecture,
    ( hskp27
    | c3_1(a134)
    | c1_1(X1)
    | c0_1(a134)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1446,104,theory(equality)]) ).

cnf(3264,negated_conjecture,
    ( hskp15
    | hskp13
    | c2_1(a167)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1969,15]) ).

cnf(3268,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp15
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1958,3264,theory(equality)]) ).

cnf(3272,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a130)
    | c2_1(a130)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[116,1518,theory(equality)]) ).

cnf(3273,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a131)
    | c2_1(a131)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[112,1518,theory(equality)]) ).

cnf(3278,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a155)
    | c2_1(a155)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[67,1518,theory(equality)]) ).

cnf(3279,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a168)
    | c2_1(a168)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[55,1518,theory(equality)]) ).

cnf(3280,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a182)
    | c2_1(a182)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[40,1518,theory(equality)]) ).

cnf(3295,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(X1)
    | hskp9
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1482,1518,theory(equality)]) ).

cnf(3325,negated_conjecture,
    ( hskp30
    | hskp20
    | c1_1(a225)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2666,31]) ).

cnf(3326,negated_conjecture,
    ( hskp22
    | hskp30
    | hskp20
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1620,3325,theory(equality)]) ).

cnf(3335,negated_conjecture,
    ( hskp30
    | hskp22
    | hskp20
    | hskp15 ),
    inference(spm,[status(thm)],[3326,10,theory(equality)]) ).

cnf(3336,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp20
    | hskp15 ),
    inference(spm,[status(thm)],[1733,3335,theory(equality)]) ).

cnf(3352,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a130)
    | c2_1(a130)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[114,1520,theory(equality)]) ).

cnf(3354,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a140)
    | c2_1(a140)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[94,1520,theory(equality)]) ).

cnf(3355,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a141)
    | c2_1(a141)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[90,1520,theory(equality)]) ).

cnf(3359,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a182)
    | c2_1(a182)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[38,1520,theory(equality)]) ).

cnf(3390,negated_conjecture,
    ( c3_1(a127)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(a127)
    | c2_1(X1)
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1450,124,theory(equality)]) ).

cnf(3414,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(a131)
    | c2_1(a131)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[112,1522,theory(equality)]) ).

cnf(3415,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(a132)
    | c2_1(a132)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[107,1522,theory(equality)]) ).

cnf(3422,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(a189)
    | c2_1(a189)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[35,1522,theory(equality)]) ).

cnf(3493,negated_conjecture,
    ( hskp12
    | hskp11
    | c3_1(a128)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2004,119]) ).

cnf(3494,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3493,118]) ).

cnf(3495,negated_conjecture,
    ( hskp12
    | hskp11
    | c3_1(a138)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2005,99]) ).

cnf(3549,negated_conjecture,
    ( hskp24
    | hskp15
    | c2_1(a127)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2767,124]) ).

cnf(3550,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3549,123]) ).

cnf(3609,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(csr,[status(thm)],[2771,95]) ).

cnf(3640,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(a138)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2052,99]) ).

cnf(3641,negated_conjecture,
    ( hskp18
    | hskp10
    | ~ hskp9 ),
    inference(csr,[status(thm)],[3640,98]) ).

cnf(3760,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | ~ hskp30
    | ~ c3_1(a167)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1578,15]) ).

cnf(3761,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | ~ hskp30
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[3760,14]) ).

cnf(3764,negated_conjecture,
    ( c3_1(X1)
    | c1_1(a143)
    | ~ hskp30
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a143)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3761,83,theory(equality)]) ).

cnf(3794,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp6
    | ~ c3_1(a131) ),
    inference(csr,[status(thm)],[2900,111]) ).

cnf(3801,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(a167)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2061,15]) ).

cnf(3804,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp18
    | hskp10
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1821,3801,theory(equality)]) ).

cnf(3809,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp8
    | ~ hskp30 ),
    inference(csr,[status(thm)],[3804,3641]) ).

cnf(3817,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a132)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2901,108]) ).

cnf(3820,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp28
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2359,3817,theory(equality)]) ).

cnf(3823,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp28
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2750,3817,theory(equality)]) ).

cnf(3843,negated_conjecture,
    ( hskp22
    | hskp9
    | c2_1(a128)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2086,119]) ).

cnf(3844,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3843,1583]) ).

cnf(3845,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(csr,[status(thm)],[2088,95]) ).

cnf(3855,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a153)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2903,75]) ).

cnf(3856,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp28
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1767,3855,theory(equality)]) ).

cnf(3857,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp28
    | hskp8
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1867,3855,theory(equality)]) ).

cnf(3865,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3856,1780]) ).

cnf(3866,negated_conjecture,
    ( hskp13
    | hskp8
    | hskp3
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3857,1957]) ).

cnf(3908,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a189)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2908,36]) ).

cnf(3909,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp25 ),
    inference(csr,[status(thm)],[3908,34]) ).

cnf(3998,negated_conjecture,
    ( hskp23
    | hskp8
    | ~ hskp12
    | ~ c2_1(a142) ),
    inference(csr,[status(thm)],[2137,86]) ).

cnf(3999,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a143)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2138,84]) ).

cnf(4000,negated_conjecture,
    ( hskp23
    | hskp8
    | ~ hskp13 ),
    inference(csr,[status(thm)],[3999,82]) ).

cnf(4027,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a153)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2139,76]) ).

cnf(4032,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp23
    | hskp8
    | ~ hskp15 ),
    inference(spm,[status(thm)],[2754,4027,theory(equality)]) ).

cnf(4037,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp17
    | hskp8
    | hskp0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[3104,4032,theory(equality)]) ).

cnf(4067,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp20
    | hskp17
    | hskp8
    | hskp0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1733,4037,theory(equality)]) ).

cnf(4095,negated_conjecture,
    ( hskp23
    | hskp8
    | c1_1(a122)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[2144,27]) ).

cnf(4099,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp23
    | hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1955,4095,theory(equality)]) ).

cnf(4135,negated_conjecture,
    ( hskp23
    | hskp8
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[4099,4000]) ).

cnf(4136,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[3104,4135,theory(equality)]) ).

cnf(4152,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp3
    | hskp20
    | hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[3268,4136,theory(equality)]) ).

cnf(4168,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a128)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2238,119]) ).

cnf(4169,negated_conjecture,
    ( hskp24
    | hskp7
    | ~ hskp4 ),
    inference(csr,[status(thm)],[4168,118]) ).

cnf(4194,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a138)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2239,99]) ).

cnf(4201,negated_conjecture,
    ( hskp24
    | hskp17
    | c2_1(a138)
    | hskp7
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1464,4194,theory(equality)]) ).

cnf(4232,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp13
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[4152,12]) ).

cnf(4233,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[4232,3866]) ).

cnf(4236,negated_conjecture,
    ( hskp24
    | hskp7
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(csr,[status(thm)],[2240,94]) ).

cnf(4333,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(a136)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2247,19]) ).

cnf(4351,negated_conjecture,
    ( hskp19
    | hskp2
    | hskp24
    | hskp7
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2314,4333,theory(equality)]) ).

cnf(4541,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ hskp28
    | ~ c1_1(a133)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1645,23]) ).

cnf(4542,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ hskp28
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[4541,24]) ).

cnf(4546,negated_conjecture,
    ( c1_1(X1)
    | c1_1(a142)
    | c0_1(X1)
    | ~ hskp28
    | ~ c2_1(a142)
    | ~ c2_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4542,88,theory(equality)]) ).

cnf(4548,negated_conjecture,
    ( c1_1(X1)
    | c1_1(a170)
    | c0_1(X1)
    | ~ hskp28
    | ~ c2_1(a170)
    | ~ c2_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4542,52,theory(equality)]) ).

cnf(4571,negated_conjecture,
    ( hskp22
    | hskp7
    | ~ hskp25
    | ~ c2_1(a189) ),
    inference(csr,[status(thm)],[2283,34]) ).

cnf(4772,negated_conjecture,
    ( hskp25
    | hskp6
    | ~ hskp9
    | ~ c3_1(a138) ),
    inference(csr,[status(thm)],[2322,98]) ).

cnf(4777,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp24
    | hskp15
    | c2_1(a138)
    | ~ hskp9
    | ~ c1_1(a138) ),
    inference(spm,[status(thm)],[4772,1504,theory(equality)]) ).

cnf(4779,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp12
    | hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[4772,3495,theory(equality)]) ).

cnf(4847,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(a142)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2324,87]) ).

cnf(4943,negated_conjecture,
    ( hskp25
    | hskp6
    | c2_1(a167)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2331,14]) ).

cnf(4946,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp25
    | hskp6
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1821,4943,theory(equality)]) ).

cnf(4959,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[4946,13]) ).

cnf(4962,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp9
    | hskp6 ),
    inference(spm,[status(thm)],[3909,4959,theory(equality)]) ).

cnf(4969,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[4962,1780]) ).

cnf(5078,negated_conjecture,
    ( hskp21
    | hskp6
    | c1_1(a142)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2363,87]) ).

cnf(5079,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[5078,86]) ).

cnf(5288,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a122)
    | ~ c3_1(a122) ),
    inference(csr,[status(thm)],[2418,12]) ).

cnf(5289,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a122)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[5288,26,theory(equality)]) ).

cnf(5296,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a122) ),
    inference(csr,[status(thm)],[5289,12]) ).

cnf(5299,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp15
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1778,5296,theory(equality)]) ).

cnf(5377,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[5299,12]) ).

cnf(5378,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[5377,3865]) ).

cnf(5486,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(csr,[status(thm)],[3050,106]) ).

cnf(5487,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[5486,3817,theory(equality)]) ).

cnf(5589,negated_conjecture,
    ( hskp28
    | hskp3
    | c2_1(a155)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3054,68]) ).

cnf(5590,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[5589,66]) ).

cnf(5592,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1957,5590,theory(equality)]) ).

cnf(5594,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ hskp19 ),
    inference(spm,[status(thm)],[5592,2717,theory(equality)]) ).

cnf(5601,negated_conjecture,
    ( hskp3
    | hskp1
    | c2_1(a167)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2455,14]) ).

cnf(5605,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1958,5601,theory(equality)]) ).

cnf(5610,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp1
    | hskp22
    | hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[5605,2954,theory(equality)]) ).

cnf(5641,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp13
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[5610,4233]) ).

cnf(5642,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[5641,1580]) ).

cnf(5707,negated_conjecture,
    ( hskp28
    | hskp3
    | c2_1(a168)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3055,56]) ).

cnf(5708,negated_conjecture,
    ( hskp22
    | hskp28
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1615,5707,theory(equality)]) ).

cnf(5714,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp22
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1957,5708,theory(equality)]) ).

cnf(5716,negated_conjecture,
    ( hskp22
    | hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[5714,5642]) ).

cnf(5748,negated_conjecture,
    ( hskp7
    | c1_1(a142)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2614,87]) ).

cnf(5749,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[5748,86]) ).

cnf(5868,negated_conjecture,
    ( hskp19
    | hskp17
    | c1_1(a140)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2723,95]) ).

cnf(5876,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp19
    | hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3845,5868,theory(equality)]) ).

cnf(5877,negated_conjecture,
    ( hskp24
    | hskp7
    | hskp19
    | hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[4236,5868,theory(equality)]) ).

cnf(5886,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7
    | ~ hskp10 ),
    inference(csr,[status(thm)],[5877,2473]) ).

cnf(5993,negated_conjecture,
    ( hskp19
    | hskp17
    | c1_1(a176)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2727,46]) ).

cnf(5994,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp22 ),
    inference(csr,[status(thm)],[5993,47]) ).

cnf(6017,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp13
    | hskp3 ),
    inference(spm,[status(thm)],[5994,5716,theory(equality)]) ).

cnf(6018,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5994,5876,theory(equality)]) ).

cnf(6020,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[6017,5592]) ).

cnf(6021,negated_conjecture,
    ( hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[6020,5594]) ).

cnf(6322,negated_conjecture,
    ( c3_1(X1)
    | c1_1(a160)
    | c0_1(X1)
    | ~ hskp18
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1804,62]) ).

cnf(6323,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | ~ hskp18
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6322,63]) ).

cnf(6333,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | ~ hskp18
    | ~ c1_1(a136)
    | ~ c2_1(a136)
    | ~ c2_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[6323,20,theory(equality)]) ).

cnf(6479,negated_conjecture,
    ( hskp29
    | hskp7
    | c2_1(a168)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3200,54]) ).

cnf(6480,negated_conjecture,
    ( hskp22
    | hskp29
    | hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1615,6479,theory(equality)]) ).

cnf(6485,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1996,6480,theory(equality)]) ).

cnf(6495,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp7
    | hskp15 ),
    inference(spm,[status(thm)],[6485,3336,theory(equality)]) ).

cnf(6514,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp7 ),
    inference(csr,[status(thm)],[6495,2269]) ).

cnf(6523,negated_conjecture,
    ( hskp29
    | hskp7
    | c3_1(a182)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3201,39]) ).

cnf(6524,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[6523,38]) ).

cnf(6589,negated_conjecture,
    ( hskp9
    | hskp7
    | c2_1(a130)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3272,114]) ).

cnf(6593,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a131)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3273,110]) ).

cnf(6616,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp9
    | hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3794,6593,theory(equality)]) ).

cnf(6619,negated_conjecture,
    ( c1_1(a143)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | ~ hskp13
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1843,84]) ).

cnf(6620,negated_conjecture,
    ( c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ hskp13
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[6619,82]) ).

cnf(6626,negated_conjecture,
    ( c1_1(X1)
    | c1_1(a160)
    | c0_1(X1)
    | c2_1(a160)
    | ~ hskp13
    | ~ c3_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[6620,64,theory(equality)]) ).

cnf(6648,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[6616,4969]) ).

cnf(6649,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[6648,1780]) ).

cnf(6686,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp13
    | c2_1(a127)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2788,124,theory(equality)]) ).

cnf(6738,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a155)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3278,66]) ).

cnf(6836,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp13
    | c2_1(a127) ),
    inference(csr,[status(thm)],[6686,6021]) ).

cnf(6837,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[123,6836,theory(equality)]) ).

cnf(6840,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp13 ),
    inference(csr,[status(thm)],[6837,6021]) ).

cnf(6856,negated_conjecture,
    ( hskp9
    | hskp7
    | c2_1(a168)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3279,54]) ).

cnf(6857,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1615,6856,theory(equality)]) ).

cnf(6964,negated_conjecture,
    ( hskp9
    | hskp7
    | c3_1(a182)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3280,39]) ).

cnf(6965,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[6964,38]) ).

cnf(6966,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp17
    | ~ hskp19 ),
    inference(spm,[status(thm)],[6965,2473,theory(equality)]) ).

cnf(6967,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[6965,3550,theory(equality)]) ).

cnf(6979,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6965,5886,theory(equality)]) ).

cnf(7064,negated_conjecture,
    ( hskp16
    | hskp2
    | c2_1(a130)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3352,115]) ).

cnf(7066,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp16
    | hskp2
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2894,7064,theory(equality)]) ).

cnf(7100,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a140)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3354,95]) ).

cnf(7107,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp16
    | hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3609,7100,theory(equality)]) ).

cnf(7126,negated_conjecture,
    ( hskp29
    | hskp13
    | hskp7
    | hskp24
    | hskp15
    | hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3100,7107,theory(equality)]) ).

cnf(7160,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a141)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[3355,91]) ).

cnf(7161,negated_conjecture,
    ( hskp16
    | hskp2
    | ~ hskp11 ),
    inference(csr,[status(thm)],[7160,92]) ).

cnf(7165,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp2
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2820,7161,theory(equality)]) ).

cnf(7284,negated_conjecture,
    ( hskp16
    | hskp2
    | c1_1(a182)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3359,39]) ).

cnf(7379,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(a131)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3414,110]) ).

cnf(7380,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[7379,111]) ).

cnf(7381,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1580,7380,theory(equality)]) ).

cnf(7433,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(a132)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[3415,106]) ).

cnf(7436,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp2
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2604,7433,theory(equality)]) ).

cnf(7438,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp2
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2750,7433,theory(equality)]) ).

cnf(7449,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp13
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1580,7436,theory(equality)]) ).

cnf(7452,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp2
    | hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1580,7438,theory(equality)]) ).

cnf(7467,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp13
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[5994,7449,theory(equality)]) ).

cnf(7470,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[7467,2717]) ).

cnf(7642,negated_conjecture,
    ( hskp2
    | hskp1
    | c2_1(a189)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[3422,34]) ).

cnf(7648,negated_conjecture,
    ( hskp22
    | hskp7
    | hskp2
    | hskp1
    | ~ hskp25 ),
    inference(spm,[status(thm)],[4571,7642,theory(equality)]) ).

cnf(7704,negated_conjecture,
    ( hskp22
    | hskp7
    | hskp2
    | ~ hskp25 ),
    inference(csr,[status(thm)],[7648,1580]) ).

cnf(7712,negated_conjecture,
    ( hskp22
    | hskp7
    | hskp2
    | hskp12
    | hskp11
    | hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[7704,4779,theory(equality)]) ).

cnf(8198,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | ~ hskp7
    | ~ c1_1(a132)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1973,106]) ).

cnf(8552,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp2
    | ~ hskp29
    | ~ c1_1(a136) ),
    inference(csr,[status(thm)],[2315,18]) ).

cnf(8553,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp2
    | ~ hskp29 ),
    inference(csr,[status(thm)],[8552,19]) ).

cnf(8652,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp17
    | hskp10
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[4067,3336]) ).

cnf(8653,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp17
    | hskp10
    | hskp0 ),
    inference(csr,[status(thm)],[8652,2960]) ).

cnf(8654,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp7
    | hskp17
    | hskp10
    | hskp0 ),
    inference(spm,[status(thm)],[6857,8653,theory(equality)]) ).

cnf(8656,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp10
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[8654,6514]) ).

cnf(8657,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[8656,6979]) ).

cnf(8658,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[5994,8657,theory(equality)]) ).

cnf(8660,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[8658,6966]) ).

cnf(8733,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp0
    | ~ hskp2
    | ~ c1_1(a125) ),
    inference(csr,[status(thm)],[2535,127]) ).

cnf(8734,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[8733,128]) ).

cnf(8737,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp0
    | ~ hskp2
    | ~ c1_1(a125) ),
    inference(csr,[status(thm)],[2706,127]) ).

cnf(8738,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[8737,128]) ).

cnf(8739,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[5994,8738,theory(equality)]) ).

cnf(8845,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7
    | c2_1(a138)
    | ~ c1_1(a138) ),
    inference(csr,[status(thm)],[4201,8660]) ).

cnf(8846,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7
    | c2_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[8845,99,theory(equality)]) ).

cnf(8848,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7
    | c2_1(a138) ),
    inference(csr,[status(thm)],[8846,8660]) ).

cnf(8849,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7
    | ~ hskp9 ),
    inference(spm,[status(thm)],[98,8848,theory(equality)]) ).

cnf(8859,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7 ),
    inference(csr,[status(thm)],[8849,8660]) ).

cnf(9156,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp10
    | hskp0
    | ~ c1_1(a133)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2564,22,theory(equality)]) ).

cnf(9175,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(a142)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(a142)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[2065,1440]) ).

cnf(9176,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(a142)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[9175,87,theory(equality)]) ).

cnf(9329,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp10
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[9156,24]) ).

cnf(9381,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2566,8739]) ).

cnf(9391,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp0
    | ~ c1_1(a133)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[9381,22,theory(equality)]) ).

cnf(9438,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[9391,24]) ).

cnf(9439,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp0
    | hskp24
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[9438,3820,theory(equality)]) ).

cnf(9545,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp17
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[9439,8859]) ).

cnf(9546,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[9545,2473]) ).

cnf(9633,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2681,3104]) ).

cnf(9634,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | ~ hskp0
    | ~ c2_1(a123) ),
    inference(spm,[status(thm)],[134,9633,theory(equality)]) ).

cnf(9642,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | ~ hskp21
    | ~ c2_1(a170) ),
    inference(spm,[status(thm)],[50,9633,theory(equality)]) ).

cnf(9685,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9634,136]) ).

cnf(9686,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp20
    | hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1733,9685,theory(equality)]) ).

cnf(9703,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9686,2960]) ).

cnf(9741,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | ~ hskp21 ),
    inference(csr,[status(thm)],[9642,51]) ).

cnf(9742,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | hskp6 ),
    inference(spm,[status(thm)],[9741,11,theory(equality)]) ).

cnf(10739,negated_conjecture,
    ( c1_1(X1)
    | c0_1(a132)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ hskp7
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[2201,106]) ).

cnf(10740,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ hskp7
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[10739,107]) ).

cnf(10896,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp15
    | hskp13
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[7126,6840]) ).

cnf(10897,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp15
    | hskp13
    | hskp7 ),
    inference(csr,[status(thm)],[10896,6840]) ).

cnf(10898,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp13
    | hskp7 ),
    inference(csr,[status(thm)],[10897,2268]) ).

cnf(10899,negated_conjecture,
    ( hskp29
    | hskp13
    | hskp7 ),
    inference(csr,[status(thm)],[10898,6524]) ).

cnf(11294,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp7
    | c1_1(a160)
    | hskp0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[2932,64,theory(equality)]) ).

cnf(11399,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp7
    | hskp0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[11294,63]) ).

cnf(11400,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp7
    | hskp0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[11399,2601,theory(equality)]) ).

cnf(11611,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ c1_1(a133)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2259,23]) ).

cnf(11612,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[11611,24]) ).

cnf(11614,negated_conjecture,
    ( hskp16
    | c3_1(a125)
    | ~ hskp2
    | ~ hskp28
    | ~ c1_1(a125) ),
    inference(spm,[status(thm)],[126,11612,theory(equality)]) ).

cnf(11618,negated_conjecture,
    ( hskp16
    | c3_1(a134)
    | ~ hskp8
    | ~ hskp28
    | ~ c1_1(a134) ),
    inference(spm,[status(thm)],[103,11612,theory(equality)]) ).

cnf(11622,negated_conjecture,
    ( hskp16
    | c3_1(a168)
    | ~ hskp20
    | ~ hskp28
    | ~ c1_1(a168) ),
    inference(spm,[status(thm)],[55,11612,theory(equality)]) ).

cnf(11623,negated_conjecture,
    ( hskp16
    | c3_1(a182)
    | ~ hskp24
    | ~ hskp28
    | ~ c1_1(a182) ),
    inference(spm,[status(thm)],[40,11612,theory(equality)]) ).

cnf(11682,negated_conjecture,
    ( hskp16
    | c3_1(a125)
    | ~ hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[11614,128]) ).

cnf(11702,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp16
    | ~ hskp2
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2705,11682,theory(equality)]) ).

cnf(11739,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[11702,2820]) ).

cnf(11768,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(X1)
    | ~ c2_1(a167) ),
    inference(csr,[status(thm)],[2260,15]) ).

cnf(11778,negated_conjecture,
    ( hskp16
    | c3_1(a168)
    | ~ hskp20
    | ~ hskp30
    | ~ c1_1(a168)
    | ~ c2_1(a167) ),
    inference(spm,[status(thm)],[55,11768,theory(equality)]) ).

cnf(11892,negated_conjecture,
    ( hskp16
    | ~ hskp28
    | ~ hskp8
    | ~ c1_1(a134) ),
    inference(csr,[status(thm)],[11618,102]) ).

cnf(11893,negated_conjecture,
    ( hskp16
    | hskp30
    | hskp20
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[11892,2953,theory(equality)]) ).

cnf(12061,negated_conjecture,
    ( hskp16
    | c3_1(a168)
    | ~ hskp28
    | ~ hskp20 ),
    inference(csr,[status(thm)],[11622,56]) ).

cnf(12062,negated_conjecture,
    ( hskp16
    | ~ hskp28
    | ~ hskp20 ),
    inference(csr,[status(thm)],[12061,54]) ).

cnf(12109,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | ~ hskp12
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2291,86]) ).

cnf(12111,negated_conjecture,
    ( hskp7
    | c2_1(a138)
    | ~ hskp12
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12109,100,theory(equality)]) ).

cnf(12198,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2292,82]) ).

cnf(12200,negated_conjecture,
    ( hskp7
    | c2_1(a138)
    | ~ hskp13
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12198,100,theory(equality)]) ).

cnf(12231,negated_conjecture,
    ( hskp16
    | ~ hskp28
    | ~ hskp24
    | ~ c1_1(a182) ),
    inference(csr,[status(thm)],[11623,38]) ).

cnf(12232,negated_conjecture,
    ( hskp16
    | hskp2
    | ~ hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[12231,7284,theory(equality)]) ).

cnf(12238,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp2
    | ~ hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2820,12232,theory(equality)]) ).

cnf(12248,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[12238,11739]) ).

cnf(12251,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp8
    | ~ hskp24
    | ~ hskp7 ),
    inference(spm,[status(thm)],[12248,3823,theory(equality)]) ).

cnf(12274,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp8
    | hskp7
    | ~ hskp24
    | ~ hskp15 ),
    inference(spm,[status(thm)],[12248,11400,theory(equality)]) ).

cnf(12303,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[12251,9546]) ).

cnf(12357,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | ~ hskp18
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2295,63]) ).

cnf(12359,negated_conjecture,
    ( hskp7
    | c2_1(a138)
    | ~ hskp18
    | ~ c1_1(a138)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12357,100,theory(equality)]) ).

cnf(12368,negated_conjecture,
    ( hskp7
    | c2_1(a167)
    | ~ hskp18
    | ~ c1_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[12357,16,theory(equality)]) ).

cnf(12388,negated_conjecture,
    ( hskp7
    | c2_1(a138)
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12111,99]) ).

cnf(12389,negated_conjecture,
    ( hskp7
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12388,98]) ).

cnf(12432,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | ~ hskp25
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2297,34]) ).

cnf(12443,negated_conjecture,
    ( hskp7
    | c2_1(a167)
    | ~ hskp25
    | ~ c1_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[12432,16,theory(equality)]) ).

cnf(12621,negated_conjecture,
    ( hskp7
    | c2_1(a138)
    | ~ hskp13
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12200,99]) ).

cnf(12622,negated_conjecture,
    ( hskp7
    | ~ hskp13
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12621,98]) ).

cnf(12623,negated_conjecture,
    ( hskp7
    | hskp19
    | hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12622,9,theory(equality)]) ).

cnf(12624,negated_conjecture,
    ( hskp7
    | hskp15
    | ~ hskp9
    | ~ hskp19 ),
    inference(spm,[status(thm)],[12622,3187,theory(equality)]) ).

cnf(12626,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12622,6021,theory(equality)]) ).

cnf(12630,negated_conjecture,
    ( hskp7
    | hskp3
    | hskp8 ),
    inference(spm,[status(thm)],[12626,5378,theory(equality)]) ).

cnf(12637,negated_conjecture,
    ( hskp19
    | hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12623,12389]) ).

cnf(12648,negated_conjecture,
    ( hskp15
    | hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12624,12637]) ).

cnf(12652,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp8 ),
    inference(spm,[status(thm)],[12648,6649,theory(equality)]) ).

cnf(12653,negated_conjecture,
    ( hskp15
    | hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[12648,6967,theory(equality)]) ).

cnf(12781,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp7
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[12274,12652]) ).

cnf(12782,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[12781,8859]) ).

cnf(12783,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[12782,12303]) ).

cnf(12860,negated_conjecture,
    ( hskp6
    | c1_1(a160)
    | ~ hskp18
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2338,62]) ).

cnf(12861,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[12860,63]) ).

cnf(12865,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ c3_1(a142)
    | ~ c2_1(a142)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[12861,88,theory(equality)]) ).

cnf(12867,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ c3_1(a170)
    | ~ c2_1(a170)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[12861,52,theory(equality)]) ).

cnf(12870,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ c3_1(a122)
    | ~ c2_1(a122)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[12861,28,theory(equality)]) ).

cnf(12871,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ c3_1(a136)
    | ~ c2_1(a136)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[12861,20,theory(equality)]) ).

cnf(12872,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ c3_1(a167)
    | ~ c2_1(a167)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[12861,16,theory(equality)]) ).

cnf(12891,negated_conjecture,
    ( hskp7
    | c2_1(a138)
    | ~ hskp18
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12359,99]) ).

cnf(12892,negated_conjecture,
    ( hskp7
    | ~ hskp18
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12891,98]) ).

cnf(12893,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp9
    | ~ hskp15 ),
    inference(spm,[status(thm)],[12892,2601,theory(equality)]) ).

cnf(12918,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12893,12648]) ).

cnf(13063,negated_conjecture,
    ( hskp7
    | c2_1(a167)
    | ~ hskp30
    | ~ hskp18 ),
    inference(csr,[status(thm)],[12368,15]) ).

cnf(13476,negated_conjecture,
    ( hskp7
    | c2_1(a167)
    | ~ hskp30
    | ~ hskp25 ),
    inference(csr,[status(thm)],[12443,15]) ).

cnf(13539,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ hskp12
    | ~ c2_1(a142) ),
    inference(csr,[status(thm)],[12865,87]) ).

cnf(13540,negated_conjecture,
    ( hskp6
    | hskp25
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[13539,4847,theory(equality)]) ).

cnf(13683,negated_conjecture,
    ( hskp6
    | ~ hskp21
    | ~ hskp18
    | ~ c3_1(a170) ),
    inference(csr,[status(thm)],[12867,51]) ).

cnf(13780,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp18
    | ~ c3_1(a122) ),
    inference(csr,[status(thm)],[12870,27]) ).

cnf(13781,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[13780,26]) ).

cnf(13799,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ c1_1(a136)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2381,18]) ).

cnf(13800,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[13799,19]) ).

cnf(13801,negated_conjecture,
    ( hskp5
    | c1_1(a123)
    | ~ hskp0
    | ~ hskp29
    | ~ c2_1(a123) ),
    inference(spm,[status(thm)],[135,13800,theory(equality)]) ).

cnf(13806,negated_conjecture,
    ( hskp5
    | c1_1(a134)
    | ~ hskp8
    | ~ hskp29
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[103,13800,theory(equality)]) ).

cnf(14021,negated_conjecture,
    ( hskp6
    | ~ hskp29
    | ~ hskp18
    | ~ c3_1(a136) ),
    inference(csr,[status(thm)],[12871,18]) ).

cnf(14022,negated_conjecture,
    ( hskp6
    | hskp22
    | ~ hskp29
    | ~ hskp18
    | ~ c1_1(a136)
    | ~ c2_1(a136) ),
    inference(spm,[status(thm)],[14021,1524,theory(equality)]) ).

cnf(14102,negated_conjecture,
    ( hskp6
    | ~ hskp30
    | ~ hskp18
    | ~ c2_1(a167) ),
    inference(csr,[status(thm)],[12872,14]) ).

cnf(14103,negated_conjecture,
    ( hskp6
    | hskp24
    | hskp17
    | ~ hskp30
    | ~ hskp18 ),
    inference(spm,[status(thm)],[14102,2483,theory(equality)]) ).

cnf(14108,negated_conjecture,
    ( hskp6
    | hskp25
    | ~ hskp30
    | ~ hskp18 ),
    inference(spm,[status(thm)],[14102,4943,theory(equality)]) ).

cnf(14112,negated_conjecture,
    ( hskp6
    | hskp7
    | ~ hskp30
    | ~ hskp18 ),
    inference(spm,[status(thm)],[14102,13063,theory(equality)]) ).

cnf(14116,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp6
    | ~ hskp30
    | ~ hskp18 ),
    inference(spm,[status(thm)],[3909,14108,theory(equality)]) ).

cnf(14129,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | ~ hskp30
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14112,2601,theory(equality)]) ).

cnf(14130,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp13
    | hskp0
    | ~ hskp30
    | ~ hskp16 ),
    inference(spm,[status(thm)],[14112,3101,theory(equality)]) ).

cnf(14159,negated_conjecture,
    ( hskp29
    | hskp15
    | hskp7
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2421,12653]) ).

cnf(14160,negated_conjecture,
    ( hskp29
    | hskp7
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[14159,2268]) ).

cnf(14163,negated_conjecture,
    ( hskp29
    | hskp7
    | c1_1(a143)
    | ~ c2_1(a143)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[14160,83,theory(equality)]) ).

cnf(14259,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp6
    | hskp10
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14116,3809,theory(equality)]) ).

cnf(14269,negated_conjecture,
    ( hskp28
    | c3_1(a128)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp4
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2422,119]) ).

cnf(14270,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp4
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[14269,118]) ).

cnf(14279,negated_conjecture,
    ( hskp28
    | c2_1(a155)
    | ~ hskp17
    | ~ hskp4
    | ~ c1_1(a155) ),
    inference(spm,[status(thm)],[67,14270,theory(equality)]) ).

cnf(14341,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | hskp9
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14129,13,theory(equality)]) ).

cnf(14403,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | hskp6
    | hskp20 ),
    inference(spm,[status(thm)],[14259,9742,theory(equality)]) ).

cnf(14407,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[14341,12918]) ).

cnf(14481,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp10
    | hskp0
    | hskp20
    | hskp8
    | hskp6 ),
    inference(spm,[status(thm)],[9329,14403,theory(equality)]) ).

cnf(14498,negated_conjecture,
    ( hskp5
    | c1_1(a123)
    | ~ hskp29
    | ~ hskp0 ),
    inference(csr,[status(thm)],[13801,136]) ).

cnf(14499,negated_conjecture,
    ( hskp5
    | ~ hskp29
    | ~ hskp0 ),
    inference(csr,[status(thm)],[14498,134]) ).

cnf(14651,negated_conjecture,
    ( hskp5
    | c1_1(a134)
    | ~ hskp29
    | ~ hskp8 ),
    inference(csr,[status(thm)],[13806,104]) ).

cnf(14664,negated_conjecture,
    ( hskp16
    | hskp5
    | ~ hskp28
    | ~ hskp8
    | ~ hskp29 ),
    inference(spm,[status(thm)],[11892,14651,theory(equality)]) ).

cnf(14690,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp16
    | hskp2
    | ~ hskp29
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[7066,14664,theory(equality)]) ).

cnf(14982,negated_conjecture,
    ( hskp29
    | hskp7
    | c1_1(a143)
    | ~ c2_1(a143) ),
    inference(csr,[status(thm)],[14163,10899]) ).

cnf(14983,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp13
    | ~ c2_1(a143) ),
    inference(spm,[status(thm)],[82,14982,theory(equality)]) ).

cnf(14994,negated_conjecture,
    ( hskp29
    | hskp7
    | ~ hskp13 ),
    inference(csr,[status(thm)],[14983,84]) ).

cnf(14995,negated_conjecture,
    ( hskp29
    | hskp7 ),
    inference(csr,[status(thm)],[14994,10899]) ).

cnf(14999,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[4351,14995,theory(equality)]) ).

cnf(15012,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[6965,14999,theory(equality)]) ).

cnf(15013,negated_conjecture,
    ( hskp19
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[15012,12637]) ).

cnf(15299,negated_conjecture,
    ( hskp28
    | c2_1(a155)
    | ~ hskp17
    | ~ hskp4 ),
    inference(csr,[status(thm)],[14279,68]) ).

cnf(15300,negated_conjecture,
    ( hskp28
    | ~ hskp17
    | ~ hskp4 ),
    inference(csr,[status(thm)],[15299,66]) ).

cnf(16688,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp17
    | hskp10
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[14481,12783]) ).

cnf(16689,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp17
    | hskp10
    | hskp0 ),
    inference(csr,[status(thm)],[16688,2960]) ).

cnf(16690,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp17
    | hskp10 ),
    inference(csr,[status(thm)],[16689,9703]) ).

cnf(16859,negated_conjecture,
    ( hskp18
    | hskp3
    | c1_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2517,2601]) ).

cnf(16862,negated_conjecture,
    ( hskp18
    | hskp3
    | c1_1(a143)
    | hskp0
    | ~ c2_1(a143)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16859,83,theory(equality)]) ).

cnf(17011,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp29
    | ~ hskp18
    | ~ c1_1(a136) ),
    inference(csr,[status(thm)],[14022,18]) ).

cnf(17012,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[17011,19]) ).

cnf(17013,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp0
    | ~ hskp29
    | ~ hskp15 ),
    inference(spm,[status(thm)],[17012,2601,theory(equality)]) ).

cnf(17024,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp0
    | ~ hskp29
    | ~ hskp2 ),
    inference(spm,[status(thm)],[17012,8734,theory(equality)]) ).

cnf(17095,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp11
    | hskp7
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[7712,7381]) ).

cnf(17096,negated_conjecture,
    ( hskp22
    | hskp11
    | hskp7
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[17095,12389]) ).

cnf(17097,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp0
    | hskp22
    | hskp7
    | ~ hskp9 ),
    inference(spm,[status(thm)],[7165,17096,theory(equality)]) ).

cnf(17103,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp7
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[17097,8660]) ).

cnf(17104,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[17103,7452]) ).

cnf(17105,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp0 ),
    inference(csr,[status(thm)],[17104,8738]) ).

cnf(17106,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp0 ),
    inference(spm,[status(thm)],[5994,17105,theory(equality)]) ).

cnf(17244,negated_conjecture,
    ( hskp12
    | c3_1(a170)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2526,51]) ).

cnf(17374,negated_conjecture,
    ( hskp18
    | hskp3
    | c1_1(a143)
    | hskp0
    | ~ c2_1(a143) ),
    inference(csr,[status(thm)],[16862,6021]) ).

cnf(17375,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp0
    | ~ hskp13
    | ~ c2_1(a143) ),
    inference(spm,[status(thm)],[82,17374,theory(equality)]) ).

cnf(17387,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[17375,84]) ).

cnf(17388,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[17387,6021]) ).

cnf(17393,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp7
    | hskp0
    | hskp3 ),
    inference(spm,[status(thm)],[11399,17388,theory(equality)]) ).

cnf(17400,negated_conjecture,
    ( hskp6
    | hskp3
    | hskp0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[13781,17388,theory(equality)]) ).

cnf(17404,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp6
    | hskp3
    | hskp0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14103,17388,theory(equality)]) ).

cnf(17413,negated_conjecture,
    ( hskp12
    | c3_1(a225)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp26
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2528,31]) ).

cnf(17414,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp26
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[17413,30]) ).

cnf(17419,negated_conjecture,
    ( hskp12
    | c2_1(a132)
    | ~ hskp7
    | ~ hskp26
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[107,17414,theory(equality)]) ).

cnf(17423,negated_conjecture,
    ( hskp12
    | c2_1(a155)
    | ~ hskp17
    | ~ hskp26
    | ~ c3_1(a155) ),
    inference(spm,[status(thm)],[67,17414,theory(equality)]) ).

cnf(17483,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[17393,12630]) ).

cnf(17484,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[17483,5487]) ).

cnf(17779,negated_conjecture,
    ( hskp12
    | c2_1(a132)
    | ~ hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[17419,108]) ).

cnf(17780,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[17779,106]) ).

cnf(17886,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp17
    | ~ c3_1(a155) ),
    inference(csr,[status(thm)],[17423,66]) ).

cnf(17894,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp7
    | ~ hskp26
    | ~ hskp17 ),
    inference(spm,[status(thm)],[17886,6738,theory(equality)]) ).

cnf(17897,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp7
    | ~ hskp26 ),
    inference(csr,[status(thm)],[17894,8660]) ).

cnf(17898,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp26 ),
    inference(csr,[status(thm)],[17897,17780]) ).

cnf(17899,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp20
    | hskp15 ),
    inference(spm,[status(thm)],[17898,10,theory(equality)]) ).

cnf(18695,negated_conjecture,
    ( hskp9
    | c3_1(a128)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp4
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2583,119]) ).

cnf(18696,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp4
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[18695,118]) ).

cnf(18699,negated_conjecture,
    ( hskp9
    | c2_1(a128)
    | ~ hskp4
    | ~ c1_1(a128) ),
    inference(spm,[status(thm)],[118,18696,theory(equality)]) ).

cnf(18799,negated_conjecture,
    ( hskp9
    | c2_1(a128)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[18699,119]) ).

cnf(19369,negated_conjecture,
    ( hskp18
    | hskp7
    | c1_1(a143)
    | hskp0
    | ~ c2_1(a143)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2623,83,theory(equality)]) ).

cnf(19472,negated_conjecture,
    ( hskp18
    | hskp7
    | c1_1(a143)
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[19369,84]) ).

cnf(19473,negated_conjecture,
    ( hskp18
    | hskp7
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[19472,82]) ).

cnf(19488,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | ~ hskp30
    | ~ hskp13 ),
    inference(spm,[status(thm)],[14112,19473,theory(equality)]) ).

cnf(19505,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | hskp9
    | ~ hskp13 ),
    inference(spm,[status(thm)],[19488,13,theory(equality)]) ).

cnf(19534,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[19505,12622]) ).

cnf(19606,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp12
    | ~ c2_1(a142) ),
    inference(csr,[status(thm)],[2628,87]) ).

cnf(21189,negated_conjecture,
    ( hskp6
    | c1_1(a142)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp12
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2694,87]) ).

cnf(21190,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp12
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[21189,86]) ).

cnf(21191,negated_conjecture,
    ( hskp6
    | c1_1(a123)
    | ~ hskp0
    | ~ hskp12
    | ~ c3_1(a123) ),
    inference(spm,[status(thm)],[135,21190,theory(equality)]) ).

cnf(21195,negated_conjecture,
    ( hskp6
    | c1_1(a132)
    | ~ hskp7
    | ~ hskp12
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[107,21190,theory(equality)]) ).

cnf(21202,negated_conjecture,
    ( hskp6
    | c1_1(a189)
    | ~ hskp25
    | ~ hskp12
    | ~ c3_1(a189) ),
    inference(spm,[status(thm)],[35,21190,theory(equality)]) ).

cnf(21260,negated_conjecture,
    ( hskp6
    | ~ hskp12
    | ~ c3_1(a123)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[21191,134]) ).

cnf(21275,negated_conjecture,
    ( hskp6
    | c1_1(a132)
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[21195,108]) ).

cnf(21278,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp6
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2604,21275,theory(equality)]) ).

cnf(21535,negated_conjecture,
    ( hskp6
    | c1_1(a189)
    | ~ hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[21202,36]) ).

cnf(21536,negated_conjecture,
    ( hskp6
    | ~ hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[21535,34]) ).

cnf(21551,negated_conjecture,
    ( hskp6
    | ~ hskp12
    | ~ hskp18 ),
    inference(spm,[status(thm)],[21536,13540,theory(equality)]) ).

cnf(22317,negated_conjecture,
    ( hskp29
    | c3_1(a127)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2737,123]) ).

cnf(22318,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[22317,122]) ).

cnf(22323,negated_conjecture,
    ( hskp29
    | c2_1(a132)
    | ~ hskp7
    | ~ hskp3
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[107,22318,theory(equality)]) ).

cnf(22600,negated_conjecture,
    ( hskp29
    | c2_1(a132)
    | ~ hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[22323,108]) ).

cnf(22601,negated_conjecture,
    ( hskp29
    | c2_1(a132)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[22600,14995]) ).

cnf(22602,negated_conjecture,
    ( hskp29
    | ~ hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[106,22601,theory(equality)]) ).

cnf(22606,negated_conjecture,
    ( hskp29
    | ~ hskp3 ),
    inference(csr,[status(thm)],[22602,14995]) ).

cnf(22607,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1996,22606,theory(equality)]) ).

cnf(22608,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2084,22606,theory(equality)]) ).

cnf(22611,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp2
    | ~ hskp3 ),
    inference(spm,[status(thm)],[8553,22606,theory(equality)]) ).

cnf(22614,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp0
    | ~ hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[17013,22606,theory(equality)]) ).

cnf(22615,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp0
    | ~ hskp2
    | ~ hskp3 ),
    inference(spm,[status(thm)],[17024,22606,theory(equality)]) ).

cnf(22619,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[5994,22607,theory(equality)]) ).

cnf(22622,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[22608,5378]) ).

cnf(22834,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(a168)
    | c2_1(X1)
    | ~ hskp20
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2743,54]) ).

cnf(23450,negated_conjecture,
    ( hskp16
    | c3_1(a168)
    | ~ hskp30
    | ~ hskp20
    | ~ c2_1(a167) ),
    inference(csr,[status(thm)],[11778,56]) ).

cnf(23451,negated_conjecture,
    ( hskp16
    | ~ hskp30
    | ~ hskp20
    | ~ c2_1(a167) ),
    inference(csr,[status(thm)],[23450,54]) ).

cnf(23457,negated_conjecture,
    ( hskp16
    | hskp25
    | hskp6
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[23451,4943,theory(equality)]) ).

cnf(23462,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp30
    | ~ hskp20
    | ~ hskp25 ),
    inference(spm,[status(thm)],[23451,13476,theory(equality)]) ).

cnf(23710,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp6
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[23462,23457,theory(equality)]) ).

cnf(23821,negated_conjecture,
    ( hskp13
    | hskp7
    | hskp6
    | hskp0
    | ~ hskp30
    | ~ hskp20 ),
    inference(spm,[status(thm)],[14130,23710,theory(equality)]) ).

cnf(24156,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[23821,19534]) ).

cnf(24157,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[24156,13,theory(equality)]) ).

cnf(24187,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[24157,12918]) ).

cnf(24212,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0
    | hskp15
    | hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[24187,17899,theory(equality)]) ).

cnf(24258,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp7
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[24212,12648]) ).

cnf(24259,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[24258,5749]) ).

cnf(24260,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[24259,14407]) ).

cnf(26346,negated_conjecture,
    ( hskp13
    | c1_1(a176)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp22
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2876,46]) ).

cnf(26347,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp22
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[26346,47]) ).

cnf(26356,negated_conjecture,
    ( hskp13
    | c2_1(a155)
    | ~ hskp17
    | ~ hskp22
    | ~ c1_1(a155) ),
    inference(spm,[status(thm)],[67,26347,theory(equality)]) ).

cnf(26562,negated_conjecture,
    ( hskp13
    | c2_1(a155)
    | ~ hskp22
    | ~ hskp17 ),
    inference(csr,[status(thm)],[26356,68]) ).

cnf(26563,negated_conjecture,
    ( hskp13
    | ~ hskp22
    | ~ hskp17 ),
    inference(csr,[status(thm)],[26562,66]) ).

cnf(26590,negated_conjecture,
    ( hskp13
    | hskp10
    | ~ hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[26563,22607,theory(equality)]) ).

cnf(26592,negated_conjecture,
    ( hskp13
    | hskp19
    | hskp2
    | ~ hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[26563,22611,theory(equality)]) ).

cnf(26593,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | ~ hskp17
    | ~ hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[26563,22614,theory(equality)]) ).

cnf(26594,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | ~ hskp17
    | ~ hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[26563,22615,theory(equality)]) ).

cnf(26681,negated_conjecture,
    ( hskp13
    | hskp10
    | ~ hskp17 ),
    inference(csr,[status(thm)],[26590,6021]) ).

cnf(26682,negated_conjecture,
    ( hskp13
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[26681,2717,theory(equality)]) ).

cnf(26713,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp19
    | ~ hskp3 ),
    inference(spm,[status(thm)],[26681,22619,theory(equality)]) ).

cnf(26819,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp10 ),
    inference(csr,[status(thm)],[26713,6021]) ).

cnf(26820,negated_conjecture,
    ( hskp13
    | hskp10 ),
    inference(csr,[status(thm)],[26819,26682]) ).

cnf(26987,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp2
    | ~ hskp17 ),
    inference(csr,[status(thm)],[26592,6021]) ).

cnf(26998,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[26987,7470,theory(equality)]) ).

cnf(27066,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp2 ),
    inference(csr,[status(thm)],[26998,15013]) ).

cnf(27376,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | ~ hskp17
    | ~ hskp15 ),
    inference(csr,[status(thm)],[26593,6021]) ).

cnf(27377,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | ~ hskp15
    | ~ hskp19 ),
    inference(spm,[status(thm)],[27376,2717,theory(equality)]) ).

cnf(27412,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[27377,3187]) ).

cnf(27414,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | ~ hskp17
    | ~ hskp2 ),
    inference(csr,[status(thm)],[26594,6021]) ).

cnf(27434,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0
    | hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[27414,17106,theory(equality)]) ).

cnf(27466,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[27434,27066]) ).

cnf(27467,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[27466,27412]) ).

cnf(27702,negated_conjecture,
    ( hskp12
    | c3_1(a128)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2937,119]) ).

cnf(27703,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[27702,118]) ).

cnf(27710,negated_conjecture,
    ( hskp12
    | c1_1(a141)
    | c2_1(a141)
    | ~ hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[90,27703,theory(equality)]) ).

cnf(28004,negated_conjecture,
    ( hskp12
    | c1_1(a141)
    | c2_1(a141)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[27710,3494]) ).

cnf(28005,negated_conjecture,
    ( hskp12
    | c2_1(a141)
    | ~ hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[92,28004,theory(equality)]) ).

cnf(28019,negated_conjecture,
    ( hskp12
    | c2_1(a141)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[28005,3494]) ).

cnf(28020,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[91,28019,theory(equality)]) ).

cnf(28024,negated_conjecture,
    ( hskp12
    | ~ hskp4 ),
    inference(csr,[status(thm)],[28020,3494]) ).

cnf(28629,negated_conjecture,
    ( hskp12
    | c0_1(a132)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp7
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3013,106]) ).

cnf(28630,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp7
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[28629,107]) ).

cnf(28635,negated_conjecture,
    ( hskp12
    | c2_1(a132)
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(spm,[status(thm)],[107,28630,theory(equality)]) ).

cnf(28639,negated_conjecture,
    ( hskp12
    | c2_1(a155)
    | ~ hskp17
    | ~ hskp7
    | ~ c1_1(a155) ),
    inference(spm,[status(thm)],[67,28630,theory(equality)]) ).

cnf(28700,negated_conjecture,
    ( hskp12
    | ~ hskp7
    | ~ c1_1(a132) ),
    inference(csr,[status(thm)],[28635,106]) ).

cnf(28806,negated_conjecture,
    ( hskp12
    | c2_1(a155)
    | ~ hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[28639,68]) ).

cnf(28807,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[28806,66]) ).

cnf(28808,negated_conjecture,
    ( hskp12
    | hskp13
    | ~ hskp7
    | ~ hskp19 ),
    inference(spm,[status(thm)],[28807,2717,theory(equality)]) ).

cnf(28824,negated_conjecture,
    ( hskp12
    | hskp8
    | hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[28807,12783,theory(equality)]) ).

cnf(28845,negated_conjecture,
    ( hskp13
    | hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[28808,9]) ).

cnf(30744,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp16
    | hskp2
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[14690,11893]) ).

cnf(30745,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp16
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[30744,11893]) ).

cnf(30746,negated_conjecture,
    ( hskp30
    | hskp16
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[30745,12062]) ).

cnf(30747,negated_conjecture,
    ( hskp17
    | hskp0
    | hskp30
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2820,30746,theory(equality)]) ).

cnf(30805,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[30747,12783]) ).

cnf(30818,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp6
    | hskp3
    | hskp0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[17404,30805,theory(equality)]) ).

cnf(31036,negated_conjecture,
    ( hskp17
    | hskp6
    | hskp3
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[30818,12248]) ).

cnf(31309,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(a155)
    | c0_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3093,66]) ).

cnf(31310,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[31309,67]) ).

cnf(31311,negated_conjecture,
    ( hskp4
    | c1_1(a123)
    | ~ hskp0
    | ~ hskp17
    | ~ c2_1(a123) ),
    inference(spm,[status(thm)],[135,31310,theory(equality)]) ).

cnf(31313,negated_conjecture,
    ( hskp4
    | c1_1(a130)
    | ~ hskp5
    | ~ hskp17
    | ~ c2_1(a130) ),
    inference(spm,[status(thm)],[116,31310,theory(equality)]) ).

cnf(31316,negated_conjecture,
    ( hskp4
    | c1_1(a134)
    | ~ hskp8
    | ~ hskp17
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[103,31310,theory(equality)]) ).

cnf(31390,negated_conjecture,
    ( hskp4
    | c1_1(a123)
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31311,136]) ).

cnf(31391,negated_conjecture,
    ( hskp4
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31390,134]) ).

cnf(31400,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3844,31391,theory(equality)]) ).

cnf(31401,negated_conjecture,
    ( hskp24
    | hskp7
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4169,31391,theory(equality)]) ).

cnf(31414,negated_conjecture,
    ( hskp28
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[15300,31391,theory(equality)]) ).

cnf(31426,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[28024,31391,theory(equality)]) ).

cnf(31440,negated_conjecture,
    ( hskp12
    | hskp13
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[31426,2717,theory(equality)]) ).

cnf(31481,negated_conjecture,
    ( hskp13
    | hskp9
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[26563,31400,theory(equality)]) ).

cnf(31485,negated_conjecture,
    ( hskp24
    | hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31401,8859]) ).

cnf(31486,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp0 ),
    inference(spm,[status(thm)],[6965,31485,theory(equality)]) ).

cnf(31493,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[31486,5749,theory(equality)]) ).

cnf(31501,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp6 ),
    inference(spm,[status(thm)],[31486,24260,theory(equality)]) ).

cnf(31517,negated_conjecture,
    ( hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[31493,12389]) ).

cnf(31665,negated_conjecture,
    ( hskp13
    | hskp12
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31440,9]) ).

cnf(31666,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp7
    | ~ hskp9 ),
    inference(spm,[status(thm)],[31665,12918,theory(equality)]) ).

cnf(31675,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[31665,28824,theory(equality)]) ).

cnf(31701,negated_conjecture,
    ( hskp13
    | hskp9
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[31481,2717,theory(equality)]) ).

cnf(31703,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp19
    | ~ hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[31481,6018,theory(equality)]) ).

cnf(31751,negated_conjecture,
    ( hskp13
    | hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[31666,28845]) ).

cnf(31753,negated_conjecture,
    ( hskp7
    | hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12622,31751,theory(equality)]) ).

cnf(31754,negated_conjecture,
    ( hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[31753,31517]) ).

cnf(31758,negated_conjecture,
    ( hskp7
    | hskp8 ),
    inference(spm,[status(thm)],[31754,6649,theory(equality)]) ).

cnf(31760,negated_conjecture,
    ( hskp7
    | hskp6 ),
    inference(spm,[status(thm)],[31754,31501,theory(equality)]) ).

cnf(31770,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp8 ),
    inference(csr,[status(thm)],[31675,31758]) ).

cnf(32668,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31703,26820]) ).

cnf(32669,negated_conjecture,
    ( hskp13
    | hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[32668,31701]) ).

cnf(33042,negated_conjecture,
    ( hskp4
    | ~ hskp17
    | ~ hskp5
    | ~ c2_1(a130) ),
    inference(csr,[status(thm)],[31313,115]) ).

cnf(33044,negated_conjecture,
    ( hskp4
    | hskp9
    | hskp7
    | ~ hskp17
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33042,6589,theory(equality)]) ).

cnf(33060,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[33044,8660]) ).

cnf(33061,negated_conjecture,
    ( hskp7
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[33060,31754]) ).

cnf(33062,negated_conjecture,
    ( hskp7
    | hskp4
    | ~ hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[33061,14499,theory(equality)]) ).

cnf(33074,negated_conjecture,
    ( c3_1(a128)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3159,119]) ).

cnf(33075,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[33074,118]) ).

cnf(33079,negated_conjecture,
    ( hskp1
    | c1_1(a131)
    | c2_1(a131)
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[112,33075,theory(equality)]) ).

cnf(33144,negated_conjecture,
    ( hskp7
    | hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33062,14995]) ).

cnf(33177,negated_conjecture,
    ( hskp12
    | hskp7
    | ~ hskp0 ),
    inference(spm,[status(thm)],[28024,33144,theory(equality)]) ).

cnf(33178,negated_conjecture,
    ( hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33177,31517]) ).

cnf(33385,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(csr,[status(thm)],[3161,94]) ).

cnf(33567,negated_conjecture,
    ( hskp4
    | c1_1(a134)
    | ~ hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[31316,104]) ).

cnf(33568,negated_conjecture,
    ( hskp22
    | hskp4
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1586,33567,theory(equality)]) ).

cnf(33608,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3844,33568,theory(equality)]) ).

cnf(33630,negated_conjecture,
    ( hskp12
    | hskp22
    | ~ hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[28024,33568,theory(equality)]) ).

cnf(33636,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[33608,22622]) ).

cnf(33641,negated_conjecture,
    ( hskp13
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[26563,33636,theory(equality)]) ).

cnf(33645,negated_conjecture,
    ( hskp13
    | hskp9
    | ~ hskp19 ),
    inference(spm,[status(thm)],[33641,2717,theory(equality)]) ).

cnf(33656,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp19
    | hskp0 ),
    inference(spm,[status(thm)],[33641,17106,theory(equality)]) ).

cnf(33680,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[33656,32669]) ).

cnf(33681,negated_conjecture,
    ( hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[33680,33645]) ).

cnf(33705,negated_conjecture,
    ( hskp13
    | hskp12
    | ~ hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[26563,33630,theory(equality)]) ).

cnf(33709,negated_conjecture,
    ( hskp13
    | hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[33705,31770]) ).

cnf(33710,negated_conjecture,
    ( hskp13
    | hskp12
    | ~ hskp19 ),
    inference(spm,[status(thm)],[33709,2717,theory(equality)]) ).

cnf(33741,negated_conjecture,
    ( hskp13
    | hskp12 ),
    inference(csr,[status(thm)],[33710,9]) ).

cnf(34614,negated_conjecture,
    ( hskp27
    | c3_1(a134)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3236,103]) ).

cnf(34615,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[34614,102]) ).

cnf(34620,negated_conjecture,
    ( hskp27
    | c1_1(a132)
    | c2_1(a132)
    | ~ hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[107,34615,theory(equality)]) ).

cnf(34864,negated_conjecture,
    ( hskp1
    | c1_1(a131)
    | ~ hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[33079,110]) ).

cnf(34865,negated_conjecture,
    ( hskp1
    | ~ hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[34864,111]) ).

cnf(34866,negated_conjecture,
    ( hskp1
    | ~ hskp6
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[34865,31391,theory(equality)]) ).

cnf(34872,negated_conjecture,
    ( hskp22
    | ~ hskp17
    | ~ hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1580,34866,theory(equality)]) ).

cnf(34880,negated_conjecture,
    ( hskp13
    | ~ hskp17
    | ~ hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[26563,34872,theory(equality)]) ).

cnf(34884,negated_conjecture,
    ( hskp13
    | ~ hskp6
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[34880,2717,theory(equality)]) ).

cnf(35571,negated_conjecture,
    ( hskp27
    | c1_1(a132)
    | ~ hskp8
    | ~ hskp7 ),
    inference(csr,[status(thm)],[34620,106]) ).

cnf(35572,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp27
    | ~ hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2359,35571,theory(equality)]) ).

cnf(35580,negated_conjecture,
    ( hskp28
    | hskp3
    | hskp27
    | ~ hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[5486,35571,theory(equality)]) ).

cnf(35660,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[35572,8859]) ).

cnf(35661,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp27
    | hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[6965,35660,theory(equality)]) ).

cnf(35702,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[35580,17484]) ).

cnf(35713,negated_conjecture,
    ( hskp17
    | hskp6
    | hskp3
    | hskp0
    | hskp27
    | ~ hskp7 ),
    inference(spm,[status(thm)],[31036,35702,theory(equality)]) ).

cnf(35863,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[35661,31758]) ).

cnf(35864,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[35863,8660]) ).

cnf(35865,negated_conjecture,
    ( hskp17
    | hskp7 ),
    inference(csr,[status(thm)],[35864,31754]) ).

cnf(36095,negated_conjecture,
    ( hskp24
    | hskp7
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3295,31754]) ).

cnf(36097,negated_conjecture,
    ( hskp24
    | hskp7
    | c2_1(a127)
    | ~ hskp3
    | ~ c1_1(a127) ),
    inference(spm,[status(thm)],[122,36095,theory(equality)]) ).

cnf(37752,negated_conjecture,
    ( hskp24
    | hskp7
    | c2_1(a127)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[36097,124]) ).

cnf(37753,negated_conjecture,
    ( hskp24
    | hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37752,123]) ).

cnf(37754,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[6965,37753,theory(equality)]) ).

cnf(37759,negated_conjecture,
    ( hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37754,31754]) ).

cnf(38716,negated_conjecture,
    ( c3_1(a127)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3390,123]) ).

cnf(38717,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[38716,122]) ).

cnf(38721,negated_conjecture,
    ( c1_1(a131)
    | c2_1(a131)
    | hskp0
    | ~ hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[112,38717,theory(equality)]) ).

cnf(38722,negated_conjecture,
    ( c1_1(a132)
    | c2_1(a132)
    | hskp0
    | ~ hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[107,38717,theory(equality)]) ).

cnf(38729,negated_conjecture,
    ( c1_1(a189)
    | c2_1(a189)
    | hskp0
    | ~ hskp25
    | ~ hskp3 ),
    inference(spm,[status(thm)],[35,38717,theory(equality)]) ).

cnf(39026,negated_conjecture,
    ( c1_1(a131)
    | hskp0
    | ~ hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[38721,110]) ).

cnf(39027,negated_conjecture,
    ( hskp0
    | ~ hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[39026,111]) ).

cnf(39032,negated_conjecture,
    ( hskp13
    | ~ hskp19
    | ~ hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[34884,39027,theory(equality)]) ).

cnf(39037,negated_conjecture,
    ( hskp13
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[39032,6021]) ).

cnf(39053,negated_conjecture,
    ( c1_1(a132)
    | c2_1(a132)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[38722,37759]) ).

cnf(39057,negated_conjecture,
    ( hskp17
    | hskp0
    | c2_1(a132)
    | ~ hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2750,39053,theory(equality)]) ).

cnf(39097,negated_conjecture,
    ( hskp17
    | c2_1(a132)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[39057,35865]) ).

cnf(39098,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[106,39097,theory(equality)]) ).

cnf(39104,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[39098,35865]) ).

cnf(39571,negated_conjecture,
    ( c2_1(a189)
    | hskp0
    | ~ hskp25
    | ~ hskp3 ),
    inference(csr,[status(thm)],[38729,34]) ).

cnf(39573,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp25
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2648,39571,theory(equality)]) ).

cnf(39583,negated_conjecture,
    ( hskp18
    | hskp0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[39573,17388]) ).

cnf(40847,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp6
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[35713,35865]) ).

cnf(40848,negated_conjecture,
    ( hskp17
    | hskp6
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[40847,17400]) ).

cnf(40849,negated_conjecture,
    ( hskp17
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[40848,39104]) ).

cnf(40850,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[28807,40849,theory(equality)]) ).

cnf(40861,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[40850,31760]) ).

cnf(45920,negated_conjecture,
    ( c3_1(X1)
    | c1_1(a143)
    | ~ hskp30
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3764,84]) ).

cnf(45921,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp30
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[45920,82]) ).

cnf(45924,negated_conjecture,
    ( ~ hskp4
    | ~ hskp30
    | ~ hskp13
    | ~ c1_1(a128)
    | ~ c2_1(a128) ),
    inference(spm,[status(thm)],[118,45921,theory(equality)]) ).

cnf(45926,negated_conjecture,
    ( ~ hskp8
    | ~ hskp30
    | ~ hskp13
    | ~ c1_1(a134)
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[102,45921,theory(equality)]) ).

cnf(47271,negated_conjecture,
    ( ~ hskp30
    | ~ hskp13
    | ~ hskp4
    | ~ c2_1(a128) ),
    inference(csr,[status(thm)],[45924,119]) ).

cnf(47277,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp13
    | ~ hskp4 ),
    inference(spm,[status(thm)],[47271,18799,theory(equality)]) ).

cnf(47291,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp4 ),
    inference(csr,[status(thm)],[47277,33681]) ).

cnf(48163,negated_conjecture,
    ( ~ hskp30
    | ~ hskp13
    | ~ hskp8
    | ~ c1_1(a134) ),
    inference(csr,[status(thm)],[45926,104]) ).

cnf(48169,negated_conjecture,
    ( hskp4
    | ~ hskp30
    | ~ hskp13
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[48163,33567,theory(equality)]) ).

cnf(48244,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp17
    | ~ hskp13
    | ~ hskp8 ),
    inference(spm,[status(thm)],[47291,48169,theory(equality)]) ).

cnf(48391,negated_conjecture,
    ( hskp9
    | ~ hskp30
    | ~ hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[48244,33681]) ).

cnf(48392,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[48391,13,theory(equality)]) ).

cnf(48421,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[48392,4969]) ).

cnf(48446,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp0 ),
    inference(spm,[status(thm)],[48421,40849,theory(equality)]) ).

cnf(55229,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | ~ c2_1(a142)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4546,86]) ).

cnf(55460,negated_conjecture,
    ( c1_1(a170)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp21
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4548,51]) ).

cnf(55461,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp21
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[55460,50]) ).

cnf(55462,negated_conjecture,
    ( c1_1(a123)
    | ~ hskp0
    | ~ hskp28
    | ~ hskp21
    | ~ c2_1(a123) ),
    inference(spm,[status(thm)],[135,55461,theory(equality)]) ).

cnf(55587,negated_conjecture,
    ( c1_1(a123)
    | ~ hskp28
    | ~ hskp21
    | ~ hskp0 ),
    inference(csr,[status(thm)],[55462,136]) ).

cnf(55588,negated_conjecture,
    ( ~ hskp28
    | ~ hskp21
    | ~ hskp0 ),
    inference(csr,[status(thm)],[55587,134]) ).

cnf(55590,negated_conjecture,
    ( hskp6
    | ~ hskp28
    | ~ hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[55588,5079,theory(equality)]) ).

cnf(55656,negated_conjecture,
    ( hskp6
    | ~ hskp12
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[55590,31414,theory(equality)]) ).

cnf(55682,negated_conjecture,
    ( hskp6
    | ~ hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[55656,31426]) ).

cnf(55683,negated_conjecture,
    ( hskp6
    | hskp13
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[55682,2717,theory(equality)]) ).

cnf(55695,negated_conjecture,
    ( hskp6
    | hskp13
    | ~ hskp0
    | ~ hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[55682,21278,theory(equality)]) ).

cnf(55709,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp19 ),
    inference(csr,[status(thm)],[55683,27467]) ).

cnf(55710,negated_conjecture,
    ( hskp13
    | ~ hskp19 ),
    inference(csr,[status(thm)],[55709,39037]) ).

cnf(56030,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp12
    | ~ hskp0 ),
    inference(csr,[status(thm)],[55695,31760]) ).

cnf(56031,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[56030,33741]) ).

cnf(56032,negated_conjecture,
    ( hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[56031,27467]) ).

cnf(58550,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp15
    | hskp6
    | c2_1(a138)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[4777,99]) ).

cnf(58551,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp15
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[58550,98]) ).

cnf(58562,negated_conjecture,
    ( hskp18
    | hskp0
    | hskp24
    | hskp15
    | hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[39583,58551,theory(equality)]) ).

cnf(59863,negated_conjecture,
    ( hskp24
    | hskp18
    | hskp15
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[58562,48446]) ).

cnf(59864,negated_conjecture,
    ( hskp24
    | hskp18
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[59863,2601]) ).

cnf(59874,negated_conjecture,
    ( hskp6
    | hskp24
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[21551,59864,theory(equality)]) ).

cnf(59888,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[59874,40861]) ).

cnf(78354,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ hskp18
    | ~ c1_1(a136)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6333,18]) ).

cnf(78355,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ hskp18
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[78354,19]) ).

cnf(78361,negated_conjecture,
    ( c3_1(a134)
    | ~ hskp8
    | ~ hskp29
    | ~ hskp18
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[103,78355,theory(equality)]) ).

cnf(79844,negated_conjecture,
    ( c3_1(a134)
    | ~ hskp29
    | ~ hskp18
    | ~ hskp8 ),
    inference(csr,[status(thm)],[78361,104]) ).

cnf(79845,negated_conjecture,
    ( ~ hskp29
    | ~ hskp18
    | ~ hskp8 ),
    inference(csr,[status(thm)],[79844,102]) ).

cnf(79854,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp29
    | ~ hskp8 ),
    inference(spm,[status(thm)],[79845,17388,theory(equality)]) ).

cnf(79955,negated_conjecture,
    ( hskp3
    | hskp0
    | hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[79854,14995,theory(equality)]) ).

cnf(80048,negated_conjecture,
    ( hskp7
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[79955,31758]) ).

cnf(80049,negated_conjecture,
    ( hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[80048,33178]) ).

cnf(80050,negated_conjecture,
    hskp7,
    inference(csr,[status(thm)],[80049,37759]) ).

cnf(80169,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | $false ),
    inference(rw,[status(thm)],[28807,80050,theory(equality)]) ).

cnf(80170,negated_conjecture,
    ( hskp12
    | ~ hskp17 ),
    inference(cn,[status(thm)],[80169,theory(equality)]) ).

cnf(80173,negated_conjecture,
    ( hskp12
    | $false
    | ~ c1_1(a132) ),
    inference(rw,[status(thm)],[28700,80050,theory(equality)]) ).

cnf(80174,negated_conjecture,
    ( hskp12
    | ~ c1_1(a132) ),
    inference(cn,[status(thm)],[80173,theory(equality)]) ).

cnf(80175,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c2_1(X1)
    | $false
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[28630,80050,theory(equality)]) ).

cnf(80176,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[80175,theory(equality)]) ).

cnf(80208,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | $false
    | ~ c1_1(X2) ),
    inference(rw,[status(thm)],[10740,80050,theory(equality)]) ).

cnf(80209,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[80208,theory(equality)]) ).

cnf(80212,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | $false
    | ~ c1_1(a132)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[8198,80050,theory(equality)]) ).

cnf(80213,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c1_1(a132)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[80212,theory(equality)]) ).

cnf(80230,negated_conjecture,
    ( hskp28
    | hskp3
    | $false
    | ~ c1_1(a132) ),
    inference(rw,[status(thm)],[5486,80050,theory(equality)]) ).

cnf(80231,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ c1_1(a132) ),
    inference(cn,[status(thm)],[80230,theory(equality)]) ).

cnf(80251,negated_conjecture,
    ( hskp17
    | hskp13
    | $false
    | ~ c1_1(a132) ),
    inference(rw,[status(thm)],[2604,80050,theory(equality)]) ).

cnf(80252,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ c1_1(a132) ),
    inference(cn,[status(thm)],[80251,theory(equality)]) ).

cnf(80257,negated_conjecture,
    ( $false
    | ~ c0_1(a132) ),
    inference(rw,[status(thm)],[107,80050,theory(equality)]) ).

cnf(80258,negated_conjecture,
    ~ c0_1(a132),
    inference(cn,[status(thm)],[80257,theory(equality)]) ).

cnf(80259,negated_conjecture,
    ( $false
    | ~ c2_1(a132) ),
    inference(rw,[status(thm)],[106,80050,theory(equality)]) ).

cnf(80260,negated_conjecture,
    ~ c2_1(a132),
    inference(cn,[status(thm)],[80259,theory(equality)]) ).

cnf(80261,negated_conjecture,
    ( c3_1(a132)
    | $false ),
    inference(rw,[status(thm)],[108,80050,theory(equality)]) ).

cnf(80262,negated_conjecture,
    c3_1(a132),
    inference(cn,[status(thm)],[80261,theory(equality)]) ).

cnf(80289,negated_conjecture,
    ( hskp12
    | c3_1(a170)
    | c2_1(a132)
    | ~ hskp21
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[80258,17244,theory(equality)]) ).

cnf(80304,negated_conjecture,
    ( hskp29
    | c2_1(a168)
    | c2_1(a132)
    | ~ hskp20
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[80258,22834,theory(equality)]) ).

cnf(80317,negated_conjecture,
    ( hskp1
    | c1_1(a132)
    | c2_1(a132)
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(spm,[status(thm)],[80258,33385,theory(equality)]) ).

cnf(83611,negated_conjecture,
    ( c1_1(a160)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp18
    | ~ hskp13
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[6626,62]) ).

cnf(83612,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp18
    | ~ hskp13
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[83611,63]) ).

cnf(83613,negated_conjecture,
    ( c1_1(a132)
    | ~ hskp18
    | ~ hskp13
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[80258,83612,theory(equality)]) ).

cnf(83676,negated_conjecture,
    ( c1_1(a132)
    | ~ hskp18
    | ~ hskp13
    | $false ),
    inference(rw,[status(thm)],[83613,80262,theory(equality)]) ).

cnf(83677,negated_conjecture,
    ( c1_1(a132)
    | ~ hskp18
    | ~ hskp13 ),
    inference(cn,[status(thm)],[83676,theory(equality)]) ).

cnf(83714,negated_conjecture,
    ( hskp12
    | ~ hskp18
    | ~ hskp13 ),
    inference(spm,[status(thm)],[80174,83677,theory(equality)]) ).

cnf(83753,negated_conjecture,
    ( hskp12
    | ~ hskp18 ),
    inference(csr,[status(thm)],[83714,33741]) ).

cnf(95013,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(a142)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[9176,80176]) ).

cnf(95014,negated_conjecture,
    ( c0_1(a132)
    | c0_1(X1)
    | c2_1(a142)
    | c2_1(a132)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[95013,80262,theory(equality)]) ).

cnf(95071,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a142)
    | c2_1(a132)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[95014,80258,theory(equality)]) ).

cnf(95072,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a142)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[95071,80260,theory(equality)]) ).

cnf(95081,negated_conjecture,
    ( c2_1(a142)
    | c2_1(a132)
    | ~ c1_1(a132) ),
    inference(spm,[status(thm)],[80258,95072,theory(equality)]) ).

cnf(95089,negated_conjecture,
    ( c2_1(a142)
    | c2_1(a155)
    | ~ hskp17
    | ~ c1_1(a155) ),
    inference(spm,[status(thm)],[67,95072,theory(equality)]) ).

cnf(95143,negated_conjecture,
    ( c2_1(a142)
    | ~ c1_1(a132) ),
    inference(sr,[status(thm)],[95081,80260,theory(equality)]) ).

cnf(95566,negated_conjecture,
    ( c2_1(a142)
    | c2_1(a155)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[95089,68]) ).

cnf(95567,negated_conjecture,
    ( c2_1(a142)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[95566,66]) ).

cnf(95571,negated_conjecture,
    ( hskp23
    | hskp8
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3998,95567,theory(equality)]) ).

cnf(95579,negated_conjecture,
    ( hskp23
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[95571,80170]) ).

cnf(95580,negated_conjecture,
    ( hskp30
    | hskp20
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3104,95579,theory(equality)]) ).

cnf(95624,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp20
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1733,95580,theory(equality)]) ).

cnf(96022,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp10
    | hskp8 ),
    inference(csr,[status(thm)],[95624,16690]) ).

cnf(96023,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp10 ),
    inference(csr,[status(thm)],[96022,2960]) ).

cnf(96635,negated_conjecture,
    ( hskp12
    | c3_1(a170)
    | c2_1(a132)
    | ~ hskp21
    | $false ),
    inference(rw,[status(thm)],[80289,80262,theory(equality)]) ).

cnf(96636,negated_conjecture,
    ( hskp12
    | c3_1(a170)
    | c2_1(a132)
    | ~ hskp21 ),
    inference(cn,[status(thm)],[96635,theory(equality)]) ).

cnf(96637,negated_conjecture,
    ( hskp12
    | c3_1(a170)
    | ~ hskp21 ),
    inference(sr,[status(thm)],[96636,80260,theory(equality)]) ).

cnf(96661,negated_conjecture,
    ( hskp6
    | hskp12
    | ~ hskp21
    | ~ hskp18 ),
    inference(spm,[status(thm)],[13683,96637,theory(equality)]) ).

cnf(96711,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp18 ),
    inference(csr,[status(thm)],[96661,83753]) ).

cnf(96712,negated_conjecture,
    ( hskp6
    | ~ hskp18 ),
    inference(csr,[status(thm)],[96711,21551]) ).

cnf(101924,negated_conjecture,
    ( hskp29
    | c2_1(a168)
    | c2_1(a132)
    | ~ hskp20
    | $false ),
    inference(rw,[status(thm)],[80304,80262,theory(equality)]) ).

cnf(101925,negated_conjecture,
    ( hskp29
    | c2_1(a168)
    | c2_1(a132)
    | ~ hskp20 ),
    inference(cn,[status(thm)],[101924,theory(equality)]) ).

cnf(101926,negated_conjecture,
    ( hskp29
    | c2_1(a168)
    | ~ hskp20 ),
    inference(sr,[status(thm)],[101925,80260,theory(equality)]) ).

cnf(101927,negated_conjecture,
    ( hskp22
    | hskp29
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1615,101926,theory(equality)]) ).

cnf(101937,negated_conjecture,
    ( hskp22
    | hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1996,101927,theory(equality)]) ).

cnf(102094,negated_conjecture,
    ( hskp22
    | hskp10 ),
    inference(csr,[status(thm)],[101937,96023]) ).

cnf(102095,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp10 ),
    inference(spm,[status(thm)],[5994,102094,theory(equality)]) ).

cnf(105035,negated_conjecture,
    ( hskp1
    | c1_1(a132)
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(sr,[status(thm)],[80317,80260,theory(equality)]) ).

cnf(105077,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp1
    | ~ hskp10
    | ~ c1_1(a140) ),
    inference(spm,[status(thm)],[80252,105035,theory(equality)]) ).

cnf(105493,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp1
    | ~ c1_1(a140) ),
    inference(csr,[status(thm)],[105077,26820]) ).

cnf(105494,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp1
    | hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[105493,5868,theory(equality)]) ).

cnf(105506,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp13
    | hskp1 ),
    inference(csr,[status(thm)],[105494,102095]) ).

cnf(105507,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp1 ),
    inference(csr,[status(thm)],[105506,55710]) ).

cnf(105508,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp13 ),
    inference(spm,[status(thm)],[1580,105507,theory(equality)]) ).

cnf(105519,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp13 ),
    inference(spm,[status(thm)],[5994,105508,theory(equality)]) ).

cnf(105530,negated_conjecture,
    ( hskp17
    | hskp13 ),
    inference(csr,[status(thm)],[105519,55710]) ).

cnf(105532,negated_conjecture,
    ( hskp13
    | ~ hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[34880,105530,theory(equality)]) ).

cnf(105661,negated_conjecture,
    ( hskp13
    | ~ hskp0 ),
    inference(csr,[status(thm)],[105532,56032]) ).

cnf(105662,negated_conjecture,
    ( hskp13
    | ~ hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[105661,39027,theory(equality)]) ).

cnf(105681,negated_conjecture,
    ( hskp13
    | ~ hskp6 ),
    inference(csr,[status(thm)],[105662,6021]) ).

cnf(105682,negated_conjecture,
    hskp13,
    inference(csr,[status(thm)],[105681,56032]) ).

cnf(105764,negated_conjecture,
    ( c1_1(a132)
    | ~ hskp18
    | $false ),
    inference(rw,[status(thm)],[83677,105682,theory(equality)]) ).

cnf(105765,negated_conjecture,
    ( c1_1(a132)
    | ~ hskp18 ),
    inference(cn,[status(thm)],[105764,theory(equality)]) ).

cnf(105831,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | $false
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(rw,[status(thm)],[6620,105682,theory(equality)]) ).

cnf(105832,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[105831,theory(equality)]) ).

cnf(106165,negated_conjecture,
    ( c1_1(X1)
    | c0_1(a132)
    | c0_1(X1)
    | c2_1(a132)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[80209,105765,theory(equality)]) ).

cnf(106208,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(a132)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(sr,[status(thm)],[106165,80258,theory(equality)]) ).

cnf(106209,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(sr,[status(thm)],[106208,80260,theory(equality)]) ).

cnf(107578,negated_conjecture,
    ( c1_1(a132)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(a132)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[105832,80262,theory(equality)]) ).

cnf(107642,negated_conjecture,
    ( c1_1(a132)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(sr,[status(thm)],[107578,80260,theory(equality)]) ).

cnf(108318,negated_conjecture,
    ( c1_1(a131)
    | c2_1(a131)
    | ~ hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[112,106209,theory(equality)]) ).

cnf(108600,negated_conjecture,
    ( c1_1(a131)
    | c2_1(a131)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[108318,96712]) ).

cnf(108601,negated_conjecture,
    ( c2_1(a131)
    | ~ hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[111,108600,theory(equality)]) ).

cnf(108645,negated_conjecture,
    ( c2_1(a131)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[108601,96712]) ).

cnf(108646,negated_conjecture,
    ( ~ hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[110,108645,theory(equality)]) ).

cnf(108654,negated_conjecture,
    ~ hskp18,
    inference(csr,[status(thm)],[108646,96712]) ).

cnf(108665,negated_conjecture,
    ( hskp3
    | hskp0 ),
    inference(sr,[status(thm)],[17388,108654,theory(equality)]) ).

cnf(109277,negated_conjecture,
    ( c1_1(a132)
    | ~ c3_1(a132) ),
    inference(spm,[status(thm)],[80258,107642,theory(equality)]) ).

cnf(109334,negated_conjecture,
    ( c1_1(a132)
    | $false ),
    inference(rw,[status(thm)],[109277,80262,theory(equality)]) ).

cnf(109335,negated_conjecture,
    c1_1(a132),
    inference(cn,[status(thm)],[109334,theory(equality)]) ).

cnf(109365,negated_conjecture,
    ( c1_1(X1)
    | c0_1(a132)
    | c0_1(X1)
    | c2_1(a132)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[80209,109335,theory(equality)]) ).

cnf(109386,negated_conjecture,
    ( c2_1(a142)
    | $false ),
    inference(rw,[status(thm)],[95143,109335,theory(equality)]) ).

cnf(109387,negated_conjecture,
    c2_1(a142),
    inference(cn,[status(thm)],[109386,theory(equality)]) ).

cnf(109406,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | $false
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[80213,109335,theory(equality)]) ).

cnf(109407,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[109406,theory(equality)]) ).

cnf(109412,negated_conjecture,
    ( hskp28
    | hskp3
    | $false ),
    inference(rw,[status(thm)],[80231,109335,theory(equality)]) ).

cnf(109413,negated_conjecture,
    ( hskp28
    | hskp3 ),
    inference(cn,[status(thm)],[109412,theory(equality)]) ).

cnf(109425,negated_conjecture,
    ( hskp12
    | $false ),
    inference(rw,[status(thm)],[80174,109335,theory(equality)]) ).

cnf(109426,negated_conjecture,
    hskp12,
    inference(cn,[status(thm)],[109425,theory(equality)]) ).

cnf(109453,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(a132)
    | c2_1(X1) ),
    inference(sr,[status(thm)],[109365,80258,theory(equality)]) ).

cnf(109454,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(sr,[status(thm)],[109453,80260,theory(equality)]) ).

cnf(109507,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[55229,109387,theory(equality)]) ).

cnf(109508,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ hskp12
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[109507,theory(equality)]) ).

cnf(109515,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp12
    | $false ),
    inference(rw,[status(thm)],[19606,109387,theory(equality)]) ).

cnf(109516,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp12 ),
    inference(cn,[status(thm)],[109515,theory(equality)]) ).

cnf(109661,negated_conjecture,
    ( hskp6
    | $false
    | ~ c3_1(a123)
    | ~ hskp0 ),
    inference(rw,[status(thm)],[21260,109426,theory(equality)]) ).

cnf(109662,negated_conjecture,
    ( hskp6
    | ~ c3_1(a123)
    | ~ hskp0 ),
    inference(cn,[status(thm)],[109661,theory(equality)]) ).

cnf(109961,negated_conjecture,
    ( c1_1(a131)
    | c2_1(a131)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[112,109454,theory(equality)]) ).

cnf(110817,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[109508,109426,theory(equality)]) ).

cnf(110818,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[110817,theory(equality)]) ).

cnf(110819,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[110818,109454]) ).

cnf(110821,negated_conjecture,
    ( c1_1(a123)
    | ~ hskp0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[135,110819,theory(equality)]) ).

cnf(111080,negated_conjecture,
    ( ~ hskp28
    | ~ hskp0 ),
    inference(csr,[status(thm)],[110821,134]) ).

cnf(111094,negated_conjecture,
    ( hskp3
    | ~ hskp0 ),
    inference(spm,[status(thm)],[111080,109413,theory(equality)]) ).

cnf(111113,negated_conjecture,
    hskp3,
    inference(csr,[status(thm)],[111094,108665]) ).

cnf(111200,negated_conjecture,
    ( $false
    | ~ c3_1(a127) ),
    inference(rw,[status(thm)],[122,111113,theory(equality)]) ).

cnf(111201,negated_conjecture,
    ~ c3_1(a127),
    inference(cn,[status(thm)],[111200,theory(equality)]) ).

cnf(111202,negated_conjecture,
    ( $false
    | ~ c2_1(a127) ),
    inference(rw,[status(thm)],[123,111113,theory(equality)]) ).

cnf(111203,negated_conjecture,
    ~ c2_1(a127),
    inference(cn,[status(thm)],[111202,theory(equality)]) ).

cnf(111204,negated_conjecture,
    ( c1_1(a127)
    | $false ),
    inference(rw,[status(thm)],[124,111113,theory(equality)]) ).

cnf(111205,negated_conjecture,
    c1_1(a127),
    inference(cn,[status(thm)],[111204,theory(equality)]) ).

cnf(111432,negated_conjecture,
    ( c3_1(X1)
    | c3_1(a127)
    | c0_1(X1)
    | c2_1(a127)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[109407,111205,theory(equality)]) ).

cnf(111439,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(a127)
    | ~ c2_1(X1) ),
    inference(sr,[status(thm)],[111432,111201,theory(equality)]) ).

cnf(111440,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(sr,[status(thm)],[111439,111203,theory(equality)]) ).

cnf(111581,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[109516,109426,theory(equality)]) ).

cnf(111582,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[111581,theory(equality)]) ).

cnf(112311,negated_conjecture,
    ( c1_1(a131)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[109961,110]) ).

cnf(112312,negated_conjecture,
    ~ hskp6,
    inference(csr,[status(thm)],[112311,111]) ).

cnf(112317,negated_conjecture,
    ( hskp24
    | hskp0 ),
    inference(sr,[status(thm)],[59888,112312,theory(equality)]) ).

cnf(112952,negated_conjecture,
    ( c3_1(a123)
    | ~ hskp0
    | ~ c2_1(a123) ),
    inference(spm,[status(thm)],[135,111440,theory(equality)]) ).

cnf(112981,negated_conjecture,
    ( c3_1(a123)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[112952,136]) ).

cnf(113002,negated_conjecture,
    ( hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[109662,112981,theory(equality)]) ).

cnf(113006,negated_conjecture,
    ~ hskp0,
    inference(sr,[status(thm)],[113002,112312,theory(equality)]) ).

cnf(113049,negated_conjecture,
    hskp24,
    inference(sr,[status(thm)],[112317,113006,theory(equality)]) ).

cnf(113180,negated_conjecture,
    ( $false
    | ~ c3_1(a182) ),
    inference(rw,[status(thm)],[38,113049,theory(equality)]) ).

cnf(113181,negated_conjecture,
    ~ c3_1(a182),
    inference(cn,[status(thm)],[113180,theory(equality)]) ).

cnf(113182,negated_conjecture,
    ( $false
    | ~ c0_1(a182) ),
    inference(rw,[status(thm)],[40,113049,theory(equality)]) ).

cnf(113183,negated_conjecture,
    ~ c0_1(a182),
    inference(cn,[status(thm)],[113182,theory(equality)]) ).

cnf(113184,negated_conjecture,
    ( $false
    | ~ c2_1(a182) ),
    inference(rw,[status(thm)],[39,113049,theory(equality)]) ).

cnf(113185,negated_conjecture,
    ~ c2_1(a182),
    inference(cn,[status(thm)],[113184,theory(equality)]) ).

cnf(113525,negated_conjecture,
    ( hskp8
    | c3_1(a182)
    | c2_1(a182) ),
    inference(spm,[status(thm)],[113183,111582,theory(equality)]) ).

cnf(113548,negated_conjecture,
    ( hskp8
    | c2_1(a182) ),
    inference(sr,[status(thm)],[113525,113181,theory(equality)]) ).

cnf(113561,negated_conjecture,
    hskp8,
    inference(sr,[status(thm)],[113548,113185,theory(equality)]) ).

cnf(113597,negated_conjecture,
    ( $false
    | ~ c3_1(a134) ),
    inference(rw,[status(thm)],[102,113561,theory(equality)]) ).

cnf(113598,negated_conjecture,
    ~ c3_1(a134),
    inference(cn,[status(thm)],[113597,theory(equality)]) ).

cnf(113599,negated_conjecture,
    ( $false
    | ~ c0_1(a134) ),
    inference(rw,[status(thm)],[103,113561,theory(equality)]) ).

cnf(113600,negated_conjecture,
    ~ c0_1(a134),
    inference(cn,[status(thm)],[113599,theory(equality)]) ).

cnf(113601,negated_conjecture,
    ( c2_1(a134)
    | $false ),
    inference(rw,[status(thm)],[104,113561,theory(equality)]) ).

cnf(113602,negated_conjecture,
    c2_1(a134),
    inference(cn,[status(thm)],[113601,theory(equality)]) ).

cnf(113785,negated_conjecture,
    ( c3_1(a134)
    | ~ c2_1(a134) ),
    inference(spm,[status(thm)],[113600,111440,theory(equality)]) ).

cnf(113825,negated_conjecture,
    ( c3_1(a134)
    | $false ),
    inference(rw,[status(thm)],[113785,113602,theory(equality)]) ).

cnf(113826,negated_conjecture,
    c3_1(a134),
    inference(cn,[status(thm)],[113825,theory(equality)]) ).

cnf(113827,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[113826,113598,theory(equality)]) ).

cnf(113828,negated_conjecture,
    $false,
    113827,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN499+1.p
% --creating new selector for []
% -running prover on /tmp/tmpfPSk93/sel_SYN499+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN499+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN499+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN499+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
% 
%------------------------------------------------------------------------------