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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN475+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:11:34 PM UTC 2026

% Result   : Theorem 0.18s 0.29s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :  122
% Syntax   : Number of formulae    :  883 (  46 unt; 121 def)
%            Number of atoms       : 6639 (   0 equ)
%            Maximal formula atoms :  712 (   7 avg)
%            Number of connectives : 8778 (3022   ~;4332   |; 955   &)
%                                         ( 121 <=>; 348  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  108 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  157 ( 156 usr; 153 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  843 (   0 sgn 843   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1000)
          & c2_1(a1000)
          & ~ c3_1(a1000) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a1001)
          & c3_1(a1001)
          & ~ c1_1(a1001) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a1002)
          & c2_1(a1002)
          & ~ c1_1(a1002) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1003)
          & ~ c0_1(a1003)
          & ~ c2_1(a1003) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1004)
          & c2_1(a1004)
          & ~ c3_1(a1004) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c1_1(a1005)
          & ~ c2_1(a1005)
          & ~ c3_1(a1005) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a1006)
          & c3_1(a1006)
          & ~ c2_1(a1006) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a1008)
          & ~ c1_1(a1008)
          & ~ c3_1(a1008) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1010)
          & c3_1(a1010)
          & ~ c1_1(a1010) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a1011)
          & c1_1(a1011)
          & ~ c2_1(a1011) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a1012)
          & ~ c1_1(a1012)
          & ~ c3_1(a1012) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a1015)
          & ~ c0_1(a1015)
          & ~ c1_1(a1015) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a1019)
          & c2_1(a1019)
          & ~ c0_1(a1019) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a1023)
          & ~ c1_1(a1023)
          & ~ c2_1(a1023) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a1025)
          & ~ c2_1(a1025)
          & ~ c3_1(a1025) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1026)
          & ~ c0_1(a1026)
          & ~ c1_1(a1026) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a1030)
          & ~ c2_1(a1030)
          & ~ c3_1(a1030) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a1032)
          & c3_1(a1032)
          & ~ c0_1(a1032) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a1036)
          & c3_1(a1036)
          & ~ c2_1(a1036) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a1037)
          & ~ c1_1(a1037)
          & ~ c3_1(a1037) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a1038)
          & ~ c1_1(a1038)
          & ~ c2_1(a1038) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1041)
          & ~ c0_1(a1041)
          & ~ c3_1(a1041) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a1043)
          & ~ c1_1(a1043)
          & ~ c2_1(a1043) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a1044)
          & c1_1(a1044)
          & ~ c3_1(a1044) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a1045)
          & c3_1(a1045)
          & ~ c0_1(a1045) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a1048)
          & ~ c0_1(a1048)
          & ~ c3_1(a1048) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c3_1(a1052)
          & ~ c0_1(a1052)
          & ~ c2_1(a1052) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1029)
          & c2_1(a1029)
          & c3_1(a1029) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1033)
          & c1_1(a1033)
          & c2_1(a1033) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1040)
          & c1_1(a1040)
          & c3_1(a1040) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp0
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c2_1(X5)
              | c3_1(X5) ) )
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | ~ c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c0_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c0_1(X8)
              | ~ c1_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c3_1(X10)
              | ~ c1_1(X10) ) )
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c0_1(X12)
              | ~ c3_1(X12) ) )
        | hskp4 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c2_1(X15) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c1_1(X17)
              | ~ c2_1(X17) ) )
        | hskp5 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) )
        | hskp6 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c3_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp0 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | c2_1(X29)
              | ~ c3_1(X29) ) )
        | hskp7 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c3_1(X31)
              | ~ c0_1(X31) ) )
        | hskp4 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp8 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | hskp9
        | hskp10 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | hskp8
        | hskp7 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c3_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp11 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) )
        | hskp7 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c0_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | ~ c0_1(X45)
              | ~ c2_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp6 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | hskp6
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | ~ c0_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c2_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c0_1(X53)
              | ~ c3_1(X53) ) )
        | hskp11 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | hskp2
        | hskp1 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | ~ c3_1(X56) ) )
        | hskp13 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | hskp8 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c0_1(X60)
              | ~ c3_1(X60) ) )
        | hskp14 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) )
        | hskp15 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) )
        | hskp9 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | hskp13 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c2_1(X71) ) )
        | hskp27 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | hskp16 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c0_1(X75)
              | ~ c3_1(X75) ) )
        | hskp12 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | hskp17 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp28
        | hskp8 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp10
        | hskp18 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | hskp19 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | hskp20 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c1_1(X85)
              | ~ c2_1(X85) ) )
        | hskp10 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp29
        | hskp21 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c2_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp6 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c1_1(X90) ) )
        | hskp22 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c1_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | hskp23 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c3_1(X95) ) )
        | hskp24
        | hskp15 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | c3_1(X99)
              | ~ c0_1(X99) ) )
        | hskp3
        | hskp25 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c1_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c2_1(X101) ) )
        | hskp15 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp6 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | hskp8
        | hskp26 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp6
        | hskp13 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c3_1(X106) ) )
        | hskp23
        | hskp3 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c1_1(X107)
              | ~ c3_1(X107) ) )
        | hskp6
        | hskp22 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp4
        | hskp19 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c0_1(X109)
              | ~ c2_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp17 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp23
        | hskp4 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp9
        | hskp12 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c2_1(X113) ) )
        | hskp7 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp24
        | hskp3 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp26
        | hskp19 )
      & ( hskp29
        | hskp23
        | hskp13 )
      & ( hskp29
        | hskp12
        | hskp5 )
      & ( hskp29
        | hskp3
        | hskp26 )
      & ( hskp23
        | hskp18
        | hskp20 )
      & ( hskp27
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp7
        | hskp26 )
      & ( hskp22
        | hskp14
        | hskp12 )
      & ( hskp4
        | hskp21
        | hskp7 )
      & ( hskp24
        | hskp25
        | hskp19 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1000)
            & c2_1(a1000)
            & ~ c3_1(a1000) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a1001)
            & c3_1(a1001)
            & ~ c1_1(a1001) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a1002)
            & c2_1(a1002)
            & ~ c1_1(a1002) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1003)
            & ~ c0_1(a1003)
            & ~ c2_1(a1003) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1004)
            & c2_1(a1004)
            & ~ c3_1(a1004) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c1_1(a1005)
            & ~ c2_1(a1005)
            & ~ c3_1(a1005) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a1006)
            & c3_1(a1006)
            & ~ c2_1(a1006) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a1008)
            & ~ c1_1(a1008)
            & ~ c3_1(a1008) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1010)
            & c3_1(a1010)
            & ~ c1_1(a1010) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a1011)
            & c1_1(a1011)
            & ~ c2_1(a1011) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a1012)
            & ~ c1_1(a1012)
            & ~ c3_1(a1012) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a1015)
            & ~ c0_1(a1015)
            & ~ c1_1(a1015) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a1019)
            & c2_1(a1019)
            & ~ c0_1(a1019) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a1023)
            & ~ c1_1(a1023)
            & ~ c2_1(a1023) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a1025)
            & ~ c2_1(a1025)
            & ~ c3_1(a1025) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1026)
            & ~ c0_1(a1026)
            & ~ c1_1(a1026) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a1030)
            & ~ c2_1(a1030)
            & ~ c3_1(a1030) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a1032)
            & c3_1(a1032)
            & ~ c0_1(a1032) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a1036)
            & c3_1(a1036)
            & ~ c2_1(a1036) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a1037)
            & ~ c1_1(a1037)
            & ~ c3_1(a1037) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a1038)
            & ~ c1_1(a1038)
            & ~ c2_1(a1038) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1041)
            & ~ c0_1(a1041)
            & ~ c3_1(a1041) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a1043)
            & ~ c1_1(a1043)
            & ~ c2_1(a1043) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a1044)
            & c1_1(a1044)
            & ~ c3_1(a1044) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a1045)
            & c3_1(a1045)
            & ~ c0_1(a1045) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a1048)
            & ~ c0_1(a1048)
            & ~ c3_1(a1048) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c3_1(a1052)
            & ~ c0_1(a1052)
            & ~ c2_1(a1052) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1029)
            & c2_1(a1029)
            & c3_1(a1029) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1033)
            & c1_1(a1033)
            & c2_1(a1033) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1040)
            & c1_1(a1040)
            & c3_1(a1040) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp0
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c2_1(X5)
                | c3_1(X5) ) )
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c0_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c0_1(X8)
                | ~ c1_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) )
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c0_1(X12)
                | ~ c3_1(X12) ) )
          | hskp4 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c1_1(X17)
                | ~ c2_1(X17) ) )
          | hskp5 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp6 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c3_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp0 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp7 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c3_1(X31)
                | ~ c0_1(X31) ) )
          | hskp4 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp8 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | hskp9
          | hskp10 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | hskp8
          | hskp7 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c3_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp11 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | hskp7 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c0_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c0_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp6 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | hskp6
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c0_1(X53)
                | ~ c3_1(X53) ) )
          | hskp11 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | hskp2
          | hskp1 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c3_1(X56) ) )
          | hskp13 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp8 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c0_1(X60)
                | ~ c3_1(X60) ) )
          | hskp14 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) )
          | hskp15 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | hskp9 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | hskp13 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) )
          | hskp27 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp16 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c0_1(X75)
                | ~ c3_1(X75) ) )
          | hskp12 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp17 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp28
          | hskp8 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp10
          | hskp18 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | hskp19 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | hskp20 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c1_1(X85)
                | ~ c2_1(X85) ) )
          | hskp10 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp29
          | hskp21 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp6 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c1_1(X90) ) )
          | hskp22 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | hskp23 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | hskp24
          | hskp15 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | c3_1(X99)
                | ~ c0_1(X99) ) )
          | hskp3
          | hskp25 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c2_1(X101) ) )
          | hskp15 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp6 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp8
          | hskp26 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp6
          | hskp13 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) )
          | hskp23
          | hskp3 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c1_1(X107)
                | ~ c3_1(X107) ) )
          | hskp6
          | hskp22 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp4
          | hskp19 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp17 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp23
          | hskp4 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp9
          | hskp12 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c2_1(X113) ) )
          | hskp7 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp24
          | hskp3 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp26
          | hskp19 )
        & ( hskp29
          | hskp23
          | hskp13 )
        & ( hskp29
          | hskp12
          | hskp5 )
        & ( hskp29
          | hskp3
          | hskp26 )
        & ( hskp23
          | hskp18
          | hskp20 )
        & ( hskp27
          | hskp6
          | hskp14 )
        & ( hskp27
          | hskp7
          | hskp26 )
        & ( hskp22
          | hskp14
          | hskp12 )
        & ( hskp4
          | hskp21
          | hskp7 )
        & ( hskp24
          | hskp25
          | hskp19 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a1002)
        & c2_1(a1002)
        & ~ c1_1(a1002) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1003)
        & ~ c0_1(a1003)
        & ~ c2_1(a1003) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1004)
        & c2_1(a1004)
        & ~ c3_1(a1004) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1006)
        & c3_1(a1006)
        & ~ c2_1(a1006) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1008)
        & ~ c1_1(a1008)
        & ~ c3_1(a1008) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1011)
        & c1_1(a1011)
        & ~ c2_1(a1011) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1012)
        & ~ c1_1(a1012)
        & ~ c3_1(a1012) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015)
        & ~ c1_1(a1015) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1019)
        & c2_1(a1019)
        & ~ c0_1(a1019) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1023)
        & ~ c1_1(a1023)
        & ~ c2_1(a1023) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1025)
        & ~ c2_1(a1025)
        & ~ c3_1(a1025) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c0_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1030)
        & ~ c2_1(a1030)
        & ~ c3_1(a1030) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1032)
        & c3_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1036)
        & c3_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ~ c3_1(a1037) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1038)
        & ~ c1_1(a1038)
        & ~ c2_1(a1038) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1043)
        & ~ c1_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1044)
        & c1_1(a1044)
        & ~ c3_1(a1044) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1045)
        & c3_1(a1045)
        & ~ c0_1(a1045) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a1052)
        & ~ c0_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1029)
        & c2_1(a1029)
        & c3_1(a1029) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c2_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1040)
        & c1_1(a1040)
        & c3_1(a1040) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c2_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | hskp0
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c2_1(X5)
            | c3_1(X5) ) )
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | ~ c0_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c0_1(X8)
            | ~ c1_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c3_1(X10)
            | ~ c1_1(X10) ) )
      | hskp3 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | ~ c0_1(X12)
            | ~ c3_1(X12) ) )
      | hskp4 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c2_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c3_1(X15)
            | ~ c2_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c1_1(X17)
            | ~ c2_1(X17) ) )
      | hskp5 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c3_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp6 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c3_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c3_1(X25)
            | ~ c0_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp0 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp7 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c3_1(X31)
            | ~ c0_1(X31) ) )
      | hskp4 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) )
      | hskp8 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | hskp9
      | hskp10 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | hskp8
      | hskp7 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c3_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c1_1(X37)
            | ~ c3_1(X37) ) )
      | hskp11 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c3_1(X42)
            | ~ c2_1(X42) ) )
      | hskp7 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | ~ c0_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | ~ c0_1(X45)
            | ~ c2_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp6 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c1_1(X48) ) )
      | hskp6
      | hskp12 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | ~ c0_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | c3_1(X51)
            | ~ c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c0_1(X53)
            | ~ c3_1(X53) ) )
      | hskp11 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | hskp2
      | hskp1 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c2_1(X56)
            | ~ c3_1(X56) ) )
      | hskp13 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | hskp8 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c0_1(X60)
            | ~ c3_1(X60) ) )
      | hskp14 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) )
      | hskp15 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c3_1(X67)
            | ~ c1_1(X67) ) )
      | hskp9 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c3_1(X69)
            | ~ c0_1(X69) ) )
      | hskp13 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c0_1(X71)
            | ~ c2_1(X71) ) )
      | hskp27 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) )
      | hskp16 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c0_1(X75)
            | ~ c3_1(X75) ) )
      | hskp12 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp17 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp28
      | hskp8 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | ~ c3_1(X79) ) )
      | hskp10
      | hskp18 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c2_1(X81) ) )
      | hskp19 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | hskp20 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c3_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c1_1(X85)
            | ~ c2_1(X85) ) )
      | hskp10 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp29
      | hskp21 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c0_1(X87)
            | ~ c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp6 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c0_1(X89)
            | ~ c3_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c3_1(X90)
            | ~ c1_1(X90) ) )
      | hskp22 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c3_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | ~ c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c2_1(X93)
            | ~ c3_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | hskp23 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c3_1(X95) ) )
      | hskp24
      | hskp15 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c1_1(X98)
            | ~ c2_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | c3_1(X99)
            | ~ c0_1(X99) ) )
      | hskp3
      | hskp25 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c3_1(X100)
            | ~ c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c2_1(X101) ) )
      | hskp15 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | ~ c0_1(X102)
            | ~ c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp6 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | hskp8
      | hskp26 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | hskp6
      | hskp13 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c0_1(X106)
            | ~ c3_1(X106) ) )
      | hskp23
      | hskp3 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c1_1(X107)
            | ~ c3_1(X107) ) )
      | hskp6
      | hskp22 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c1_1(X108) ) )
      | hskp4
      | hskp19 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c0_1(X109)
            | ~ c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | ~ c2_1(X110) ) )
      | hskp17 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | hskp23
      | hskp4 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c2_1(X112) ) )
      | hskp9
      | hskp12 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | ~ c2_1(X113) ) )
      | hskp7 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c2_1(X114)
            | ~ c3_1(X114) ) )
      | hskp24
      | hskp3 )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c2_1(X115)
            | ~ c3_1(X115) ) )
      | hskp26
      | hskp19 )
    & ( hskp29
      | hskp23
      | hskp13 )
    & ( hskp29
      | hskp12
      | hskp5 )
    & ( hskp29
      | hskp3
      | hskp26 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp7
      | hskp26 )
    & ( hskp22
      | hskp14
      | hskp12 )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp24
      | hskp25
      | hskp19 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a1002)
        & c2_1(a1002)
        & ~ c1_1(a1002) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1003)
        & ~ c0_1(a1003)
        & ~ c2_1(a1003) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1004)
        & c2_1(a1004)
        & ~ c3_1(a1004) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1006)
        & c3_1(a1006)
        & ~ c2_1(a1006) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1008)
        & ~ c1_1(a1008)
        & ~ c3_1(a1008) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1011)
        & c1_1(a1011)
        & ~ c2_1(a1011) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1012)
        & ~ c1_1(a1012)
        & ~ c3_1(a1012) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015)
        & ~ c1_1(a1015) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1019)
        & c2_1(a1019)
        & ~ c0_1(a1019) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1023)
        & ~ c1_1(a1023)
        & ~ c2_1(a1023) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1025)
        & ~ c2_1(a1025)
        & ~ c3_1(a1025) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c0_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1030)
        & ~ c2_1(a1030)
        & ~ c3_1(a1030) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1032)
        & c3_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1036)
        & c3_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ~ c3_1(a1037) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1038)
        & ~ c1_1(a1038)
        & ~ c2_1(a1038) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1043)
        & ~ c1_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1044)
        & c1_1(a1044)
        & ~ c3_1(a1044) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1045)
        & c3_1(a1045)
        & ~ c0_1(a1045) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a1052)
        & ~ c0_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1029)
        & c2_1(a1029)
        & c3_1(a1029) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c2_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1040)
        & c1_1(a1040)
        & c3_1(a1040) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c0_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c3_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | hskp6
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c1_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp10
      | hskp18 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp29
      | hskp21 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp24
      | hskp15 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c2_1(X99)
          | c3_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | hskp3
      | hskp25 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp8
      | hskp26 )
    & ( ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp23
      | hskp3 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c1_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp6
      | hskp22 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp4
      | hskp19 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp23
      | hskp4 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp9
      | hskp12 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp24
      | hskp3 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp26
      | hskp19 )
    & ( hskp29
      | hskp23
      | hskp13 )
    & ( hskp29
      | hskp12
      | hskp5 )
    & ( hskp29
      | hskp3
      | hskp26 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp7
      | hskp26 )
    & ( hskp22
      | hskp14
      | hskp12 )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp24
      | hskp25
      | hskp19 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a1002)
        & c2_1(a1002)
        & ~ c1_1(a1002) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1003)
        & ~ c0_1(a1003)
        & ~ c2_1(a1003) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1004)
        & c2_1(a1004)
        & ~ c3_1(a1004) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1006)
        & c3_1(a1006)
        & ~ c2_1(a1006) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1008)
        & ~ c1_1(a1008)
        & ~ c3_1(a1008) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1011)
        & c1_1(a1011)
        & ~ c2_1(a1011) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1012)
        & ~ c1_1(a1012)
        & ~ c3_1(a1012) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015)
        & ~ c1_1(a1015) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1019)
        & c2_1(a1019)
        & ~ c0_1(a1019) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1023)
        & ~ c1_1(a1023)
        & ~ c2_1(a1023) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1025)
        & ~ c2_1(a1025)
        & ~ c3_1(a1025) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c0_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1030)
        & ~ c2_1(a1030)
        & ~ c3_1(a1030) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1032)
        & c3_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1036)
        & c3_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ~ c3_1(a1037) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1038)
        & ~ c1_1(a1038)
        & ~ c2_1(a1038) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1043)
        & ~ c1_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1044)
        & c1_1(a1044)
        & ~ c3_1(a1044) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1045)
        & c3_1(a1045)
        & ~ c0_1(a1045) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a1052)
        & ~ c0_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1029)
        & c2_1(a1029)
        & c3_1(a1029) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c2_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1040)
        & c1_1(a1040)
        & c3_1(a1040) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c0_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c3_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | hskp6
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c1_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp10
      | hskp18 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp29
      | hskp21 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp24
      | hskp15 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c2_1(X99)
          | c3_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | hskp3
      | hskp25 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp8
      | hskp26 )
    & ( ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp23
      | hskp3 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c1_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp6
      | hskp22 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp4
      | hskp19 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp23
      | hskp4 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp9
      | hskp12 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp24
      | hskp3 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp26
      | hskp19 )
    & ( hskp29
      | hskp23
      | hskp13 )
    & ( hskp29
      | hskp12
      | hskp5 )
    & ( hskp29
      | hskp3
      | hskp26 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp7
      | hskp26 )
    & ( hskp22
      | hskp14
      | hskp12 )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp24
      | hskp25
      | hskp19 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp24
    | hskp25
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp27
    | hskp6
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X114] :
      ( ~ c0_1(X114)
      | ~ c2_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp24
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X113] :
      ( ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ c2_1(X113)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X111] :
      ( c3_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | hskp23
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | ~ c0_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ c2_1(X110)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X108] :
      ( c3_1(X108)
      | ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | hskp4
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X107] :
      ( c2_1(X107)
      | ~ c1_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | hskp6
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X106] :
      ( c2_1(X106)
      | ~ c0_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp23
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X105] :
      ( c2_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0
      | hskp6
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | c3_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( c2_1(X99)
      | c3_1(X99)
      | ~ c0_1(X99)
      | ~ ndr1_0
      | hskp3
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98,X96,X97] :
      ( c1_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | c2_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X95] :
      ( c1_1(X95)
      | ~ c0_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp24
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X94] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X88,X87] :
      ( c1_1(X87)
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | c1_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c1_1(X69)
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X62,X63,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X54] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c2_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X48] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | hskp6
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | ~ c0_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c3_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c3_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c0_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c1_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c2_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c3_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | ~ c0_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c2_1(X10)
      | c3_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c0_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c2_1(X8)
      | ~ c0_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp27
    | c3_1(a1029) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp27
    | c2_1(a1029) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp27
    | c0_1(a1029) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp25
    | ~ c3_1(a1048) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp25
    | ~ c0_1(a1048) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp25
    | c1_1(a1048) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp24
    | ~ c0_1(a1045) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp24
    | c3_1(a1045) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp24
    | c1_1(a1045) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp23
    | ~ c3_1(a1044) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp23
    | c1_1(a1044) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp23
    | c0_1(a1044) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp22
    | ~ c2_1(a1043) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp22
    | ~ c1_1(a1043) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp22
    | c0_1(a1043) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp19
    | ~ c3_1(a1037) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp19
    | ~ c1_1(a1037) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp19
    | ~ c0_1(a1037) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp17
    | ~ c0_1(a1032) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp17
    | c3_1(a1032) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp17
    | c2_1(a1032) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp15
    | c2_1(a1026) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp14
    | ~ c3_1(a1025) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp14
    | ~ c2_1(a1025) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp14
    | c0_1(a1025) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp13
    | ~ c2_1(a1023) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp13
    | ~ c1_1(a1023) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp13
    | c3_1(a1023) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp12
    | ~ c0_1(a1019) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp12
    | c2_1(a1019) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp12
    | c1_1(a1019) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp11
    | ~ c1_1(a1015) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp11
    | ~ c0_1(a1015) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp11
    | c3_1(a1015) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp8
    | c3_1(a1010) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp8
    | c0_1(a1010) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp7
    | ~ c3_1(a1008) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp7
    | ~ c1_1(a1008) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp7
    | c2_1(a1008) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp6
    | ~ c2_1(a1006) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp6
    | c3_1(a1006) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp6
    | c0_1(a1006) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp4
    | ~ c3_1(a1004) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp4
    | c2_1(a1004) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp4
    | c1_1(a1004) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp3
    | ~ c2_1(a1003) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp3
    | ~ c0_1(a1003) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp3
    | c1_1(a1003) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp2
    | ~ c1_1(a1002) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp2
    | c2_1(a1002) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp2
    | c0_1(a1002) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp1
    | ~ c1_1(a1001) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp1
    | c3_1(a1001) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp1
    | c2_1(a1001) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp0
    | ~ c3_1(a1000) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp0
    | c2_1(a1000) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp0
    | c0_1(a1000) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp0
    | ~ c0_1(a1000) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f199,plain,
    ( ~ hskp0
    | ~ c2_1(a1000) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f201,plain,
    ( hskp1
    | ~ c2_1(a1001) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f202,plain,
    ( hskp1
    | c3_1(a1001) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f203,plain,
    ( hskp1
    | ~ c1_1(a1001) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f204,plain,
    ( ~ hskp2
    | ~ c0_1(a1002) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f205,plain,
    ( ~ hskp2
    | ~ c2_1(a1002) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f206,plain,
    ( ~ hskp3
    | c0_1(a1003) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f207,plain,
    ( ~ hskp3
    | c2_1(a1003) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f208,plain,
    ( ~ hskp4
    | ~ c2_1(a1004) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f214,plain,
    ( hskp6
    | ~ c0_1(a1006) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f215,plain,
    ( hskp6
    | c3_1(a1006) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f216,plain,
    ( hskp6
    | c2_1(a1006) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f218,plain,
    ( hskp7
    | ~ c2_1(a1008) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f219,plain,
    ( hskp7
    | ~ c1_1(a1008) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f220,plain,
    ( hskp7
    | ~ c3_1(a1008) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f221,plain,
    ( ~ hskp8
    | ~ c0_1(a1010) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f225,plain,
    ( ~ hskp11
    | c0_1(a1015) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f227,plain,
    ( hskp12
    | c1_1(a1019) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f228,plain,
    ( hskp12
    | ~ c2_1(a1019) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f229,plain,
    ( hskp12
    | c0_1(a1019) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f230,plain,
    ( ~ hskp13
    | c2_1(a1023) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f232,plain,
    ( hskp14
    | ~ c0_1(a1025) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f233,plain,
    ( hskp14
    | c2_1(a1025) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f234,plain,
    ( hskp14
    | ~ c3_1(a1025) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f235,plain,
    ( ~ hskp15
    | ~ c2_1(a1026) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f236,plain,
    ( ~ hskp15
    | c0_1(a1026) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f242,plain,
    ( hskp17
    | ~ c2_1(a1032) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f243,plain,
    ( hskp17
    | c3_1(a1032) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f244,plain,
    ( hskp17
    | c0_1(a1032) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f249,plain,
    ( ~ hskp19
    | c0_1(a1037) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f254,plain,
    ( ~ hskp22
    | ~ c0_1(a1043) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f255,plain,
    ( ~ hskp22
    | c2_1(a1043) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f256,plain,
    ( ~ hskp23
    | ~ c0_1(a1044) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f257,plain,
    ( ~ hskp24
    | c0_1(a1045) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f258,plain,
    ( hskp25
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f259,plain,
    ( hskp25
    | c1_1(a1048) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f260,plain,
    ( hskp25
    | c0_1(a1048) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f261,plain,
    ( hskp25
    | ~ c3_1(a1048) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f264,plain,
    ( ~ hskp27
    | ~ c0_1(a1029) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f265,plain,
    ( ~ hskp27
    | ~ c2_1(a1029) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f272,plain,
    ! [X8,X6,X7] :
      ( ~ c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | c0_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f273,plain,
    ! [X10,X9] :
      ( ~ c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | c3_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f274,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | c0_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f275,plain,
    ! [X14,X15,X13] :
      ( ~ c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f280,plain,
    ! [X26,X27] :
      ( ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f281,plain,
    ! [X28,X29] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | ~ c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f283,plain,
    ! [X32,X33] :
      ( ~ c0_1(X32)
      | ~ c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c1_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f285,plain,
    ! [X35] :
      ( ~ c0_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | hskp8
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f286,plain,
    ! [X36,X37] :
      ( ~ c0_1(X36)
      | c3_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f287,plain,
    ! [X40,X38,X39] :
      ( ~ c0_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f288,plain,
    ! [X41,X42] :
      ( ~ c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f289,plain,
    ! [X44,X45,X43] :
      ( ~ c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | c0_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | c0_1(X45)
      | c2_1(X45)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f290,plain,
    ! [X46,X47] :
      ( ~ c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f291,plain,
    ! [X48] :
      ( ~ c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | ~ hskp6
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f292,plain,
    ! [X50,X51,X49] :
      ( ~ c0_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c0_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X51)
      | c3_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f293,plain,
    ! [X52,X53] :
      ( ~ c0_1(X52)
      | c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c0_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f294,plain,
    ! [X54] :
      ( ~ c0_1(X54)
      | c3_1(X54)
      | c2_1(X54)
      | ~ ndr1_0
      | hskp2
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f296,plain,
    ! [X58,X57] :
      ( ~ c0_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f298,plain,
    ! [X62,X63,X61] :
      ( ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c0_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f299,plain,
    ! [X65,X64] :
      ( ~ c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f301,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | ~ c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c1_1(X69)
      | c3_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f304,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | ~ c2_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c0_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f305,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f308,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c3_1(X80)
      | c0_1(X80)
      | ~ ndr1_0
      | c1_1(X81)
      | c0_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f312,plain,
    ! [X88,X87] :
      ( c1_1(X87)
      | c0_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f315,plain,
    ! [X94] :
      ( c1_1(X94)
      | c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f316,plain,
    ! [X95] :
      ( c1_1(X95)
      | c0_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp24
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f317,plain,
    ! [X98,X96,X97] :
      ( c1_1(X96)
      | c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | ~ c1_1(X98)
      | c2_1(X98)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f318,plain,
    ! [X99] :
      ( ~ c2_1(X99)
      | c3_1(X99)
      | c0_1(X99)
      | ~ ndr1_0
      | hskp3
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f319,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | c3_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | c0_1(X101)
      | c2_1(X101)
      | ~ ndr1_0
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f322,plain,
    ! [X105] :
      ( ~ c2_1(X105)
      | c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0
      | ~ hskp6
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f323,plain,
    ! [X106] :
      ( ~ c2_1(X106)
      | c0_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp23
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f324,plain,
    ! [X107] :
      ( ~ c2_1(X107)
      | ~ c1_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | ~ hskp6
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f325,plain,
    ! [X108] :
      ( c3_1(X108)
      | c0_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | hskp4
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f326,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | c0_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | c0_1(X110)
      | ~ c1_1(X110)
      | c2_1(X110)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f327,plain,
    ! [X111] :
      ( c3_1(X111)
      | ~ c1_1(X111)
      | c2_1(X111)
      | ~ ndr1_0
      | hskp23
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f329,plain,
    ! [X113] :
      ( c0_1(X113)
      | ~ c1_1(X113)
      | c2_1(X113)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f330,plain,
    ! [X114] :
      ( c0_1(X114)
      | c2_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp24
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f334,plain,
    ( hskp27
    | ~ hskp6
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f338,plain,
    ( hskp24
    | ~ hskp25
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f339,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | c0_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | c0_1(X110)
      | ~ c1_1(X110)
      | c2_1(X110)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f341,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | c3_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | c0_1(X101)
      | c2_1(X101)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f342,plain,
    ! [X98,X96,X97] :
      ( c1_1(X96)
      | c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | c0_1(X97)
      | ~ c3_1(X97)
      | c3_1(X98)
      | ~ c1_1(X98)
      | c2_1(X98) ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f345,plain,
    ! [X88,X87] :
      ( c1_1(X87)
      | c0_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ hskp6 ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f348,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c3_1(X80)
      | c0_1(X80)
      | ~ ndr1_0
      | c1_1(X81)
      | c0_1(X81)
      | c2_1(X81)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f349,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | c0_1(X77)
      | ~ c1_1(X77)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f350,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | ~ c2_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c0_1(X75)
      | ~ c3_1(X75)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f353,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | ~ c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c1_1(X69)
      | c3_1(X69)
      | c0_1(X69)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f355,plain,
    ! [X65,X64] :
      ( ~ c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c0_1(X65)
      | ~ c3_1(X65)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f356,plain,
    ! [X62,X63,X61] :
      ( ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c0_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63) ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f358,plain,
    ! [X58,X57] :
      ( ~ c0_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f360,plain,
    ! [X52,X53] :
      ( ~ c0_1(X52)
      | c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c0_1(X53)
      | ~ c3_1(X53)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f361,plain,
    ! [X50,X51,X49] :
      ( ~ c0_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c0_1(X50)
      | c2_1(X50)
      | ~ c2_1(X51)
      | c3_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f362,plain,
    ! [X46,X47] :
      ( ~ c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ hskp6 ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f363,plain,
    ! [X44,X45,X43] :
      ( ~ c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | c0_1(X44)
      | ~ c3_1(X44)
      | c3_1(X45)
      | c0_1(X45)
      | c2_1(X45) ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f364,plain,
    ! [X41,X42] :
      ( ~ c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f365,plain,
    ! [X40,X38,X39] :
      ( ~ c0_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f366,plain,
    ! [X36,X37] :
      ( ~ c0_1(X36)
      | c3_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f286]) ).

fof(f367,plain,
    ! [X32,X33] :
      ( ~ c0_1(X32)
      | ~ c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c1_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f369,plain,
    ! [X28,X29] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | ~ c2_1(X29)
      | ~ c3_1(X29)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f370,plain,
    ! [X26,X27] :
      ( ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | c2_1(X27)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f375,plain,
    ! [X14,X15,X13] :
      ( ~ c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | c1_1(X15)
      | c3_1(X15)
      | c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f376,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | c0_1(X12)
      | ~ c3_1(X12)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f274]) ).

fof(f377,plain,
    ! [X10,X9] :
      ( ~ c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | c3_1(X10)
      | ~ c1_1(X10)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f378,plain,
    ! [X8,X6,X7] :
      ( ~ c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | c0_1(X7)
      | c2_1(X7)
      | ~ c2_1(X8)
      | c0_1(X8)
      | ~ c1_1(X8) ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f382,definition,
    ( spl0_1
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f386,definition,
    ( spl0_2
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f390,definition,
    ( spl0_3
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f393,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f338,f390,f386,f382]) ).

fof(f395,definition,
    ( spl0_4
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_6
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f408,definition,
    ( spl0_7
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_8
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f416,definition,
    ( spl0_9
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f425,definition,
    ( spl0_11
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f430,definition,
    ( spl0_12
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f433,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f334,f425,f430,f412]) ).

fof(f443,definition,
    ( spl0_15
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_16
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f462,definition,
    ( spl0_19
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f467,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f471,definition,
    ( spl0_21
  <=> ! [X115] :
        ( c0_1(X115)
        | ~ c3_1(X115)
        | c2_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f472,plain,
    ( ! [X115] :
        ( ~ c3_1(X115)
        | c0_1(X115)
        | c2_1(X115) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f474,plain,
    ( spl0_16
    | spl0_3
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f330,f471,f467,f390,f448]) ).

fof(f476,definition,
    ( spl0_22
  <=> ! [X113] :
        ( c0_1(X113)
        | c2_1(X113)
        | ~ c1_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X113] :
        ( ~ c1_1(X113)
        | c2_1(X113)
        | c0_1(X113) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f329,f476,f467,f395]) ).

fof(f485,definition,
    ( spl0_24
  <=> ! [X111] :
        ( c3_1(X111)
        | c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f486,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | c2_1(X111)
        | c3_1(X111) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( spl0_6
    | spl0_15
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f327,f485,f467,f443,f403]) ).

fof(f489,definition,
    ( spl0_25
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f493,definition,
    ( spl0_26
  <=> ! [X109] :
        ( c3_1(X109)
        | c2_1(X109)
        | c0_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X109] :
        ( c3_1(X109)
        | c2_1(X109)
        | c0_1(X109) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( ~ spl0_25
    | spl0_22
    | ~ spl0_20
    | spl0_26 ),
    inference(avatar_split_clause,[],[f339,f493,f467,f476,f489]) ).

fof(f497,definition,
    ( spl0_27
  <=> ! [X108] :
        ( c3_1(X108)
        | ~ c1_1(X108)
        | c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X108] :
        ( ~ c1_1(X108)
        | c3_1(X108)
        | c0_1(X108) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_20
    | spl0_27 ),
    inference(avatar_split_clause,[],[f325,f497,f467,f403,f382]) ).

fof(f501,definition,
    ( spl0_28
  <=> ! [X107] :
        ( ~ c2_1(X107)
        | ~ c3_1(X107)
        | ~ c1_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X107] :
        ( ~ c1_1(X107)
        | ~ c3_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_9
    | ~ spl0_12
    | ~ spl0_20
    | spl0_28 ),
    inference(avatar_split_clause,[],[f324,f501,f467,f430,f416]) ).

fof(f505,definition,
    ( spl0_29
  <=> ! [X106] :
        ( ~ c2_1(X106)
        | ~ c3_1(X106)
        | c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | ~ c2_1(X106)
        | c0_1(X106) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( spl0_16
    | spl0_15
    | ~ spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f323,f505,f467,f443,f448]) ).

fof(f509,definition,
    ( spl0_30
  <=> ! [X105] :
        ( ~ c2_1(X105)
        | ~ c1_1(X105)
        | c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f510,plain,
    ( ! [X105] :
        ( ~ c1_1(X105)
        | ~ c2_1(X105)
        | c0_1(X105) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f511,plain,
    ( spl0_19
    | ~ spl0_12
    | ~ spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f322,f509,f467,f430,f462]) ).

fof(f513,definition,
    ( spl0_31
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f519,definition,
    ( spl0_32
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f523,definition,
    ( spl0_33
  <=> ! [X100] :
        ( ~ c2_1(X100)
        | ~ c1_1(X100)
        | c3_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f524,plain,
    ( ! [X100] :
        ( ~ c1_1(X100)
        | ~ c2_1(X100)
        | c3_1(X100) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f525,plain,
    ( spl0_32
    | spl0_26
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f341,f523,f467,f493,f519]) ).

fof(f527,definition,
    ( spl0_34
  <=> ! [X99] :
        ( ~ c2_1(X99)
        | c0_1(X99)
        | c3_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f528,plain,
    ( ! [X99] :
        ( c3_1(X99)
        | c0_1(X99)
        | ~ c2_1(X99) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f529,plain,
    ( ~ spl0_2
    | spl0_16
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f318,f527,f467,f448,f386]) ).

fof(f531,definition,
    ( spl0_35
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c3_1(X96)
        | c2_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f532,plain,
    ( ! [X96] :
        ( c1_1(X96)
        | ~ c3_1(X96)
        | c2_1(X96) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f342,f531,f467,f505,f485]) ).

fof(f535,definition,
    ( spl0_36
  <=> ! [X95] :
        ( c1_1(X95)
        | ~ c3_1(X95)
        | c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f536,plain,
    ( ! [X95] :
        ( c1_1(X95)
        | ~ c3_1(X95)
        | c0_1(X95) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( spl0_32
    | spl0_3
    | ~ spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f316,f535,f467,f390,f519]) ).

fof(f538,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f315,f535,f467,f443]) ).

fof(f540,definition,
    ( spl0_37
  <=> ! [X93] :
        ( ~ c1_1(X93)
        | ~ c3_1(X93)
        | c2_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f541,plain,
    ( ! [X93] :
        ( ~ c1_1(X93)
        | ~ c3_1(X93)
        | c2_1(X93) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f545,definition,
    ( spl0_38
  <=> ! [X87] :
        ( c1_1(X87)
        | c2_1(X87)
        | c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | c2_1(X87)
        | c0_1(X87) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( ~ spl0_12
    | spl0_35
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f345,f545,f467,f531,f430]) ).

fof(f549,definition,
    ( spl0_39
  <=> ! [X86] :
        ( c1_1(X86)
        | c0_1(X86)
        | c3_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X86] :
        ( c1_1(X86)
        | c0_1(X86)
        | c3_1(X86) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f558,plain,
    ( spl0_1
    | spl0_38
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f348,f549,f467,f545,f382]) ).

fof(f560,definition,
    ( spl0_41
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | ~ c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f561,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | ~ c2_1(X79) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f569,definition,
    ( spl0_43
  <=> ! [X76] :
        ( c1_1(X76)
        | c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f570,plain,
    ( ! [X76] :
        ( c1_1(X76)
        | c3_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ spl0_25
    | spl0_27
    | ~ spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f349,f569,f467,f497,f489]) ).

fof(f572,plain,
    ( ~ spl0_7
    | spl0_29
    | ~ spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f350,f569,f467,f505,f408]) ).

fof(f579,plain,
    ( spl0_19
    | spl0_39
    | ~ spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f353,f569,f467,f549,f462]) ).

fof(f581,definition,
    ( spl0_45
  <=> ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | ~ c0_1(X66)
        | c2_1(X66) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f585,definition,
    ( spl0_46
  <=> ! [X64] :
        ( ~ c0_1(X64)
        | ~ c3_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f586,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | ~ c3_1(X64)
        | ~ c0_1(X64) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( spl0_32
    | spl0_36
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f355,f585,f467,f535,f519]) ).

fof(f588,plain,
    ( spl0_37
    | spl0_45
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f356,f585,f467,f581,f540]) ).

fof(f590,definition,
    ( spl0_47
  <=> ! [X59] :
        ( ~ c0_1(X59)
        | c2_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f591,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c2_1(X59)
        | ~ c0_1(X59) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f593,plain,
    ( spl0_31
    | spl0_35
    | ~ spl0_20
    | spl0_47 ),
    inference(avatar_split_clause,[],[f358,f590,f467,f531,f513]) ).

fof(f596,definition,
    ( spl0_48
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f600,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f604,definition,
    ( spl0_50
  <=> ! [X54] :
        ( ~ c0_1(X54)
        | c2_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f605,plain,
    ( ! [X54] :
        ( c3_1(X54)
        | c2_1(X54)
        | ~ c0_1(X54) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f606,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f294,f604,f467,f600,f596]) ).

fof(f608,definition,
    ( spl0_51
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f611,plain,
    ( spl0_51
    | spl0_36
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f360,f604,f467,f535,f608]) ).

fof(f612,plain,
    ( spl0_34
    | spl0_38
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f361,f604,f467,f545,f527]) ).

fof(f614,definition,
    ( spl0_52
  <=> ! [X48] :
        ( ~ c0_1(X48)
        | ~ c1_1(X48)
        | c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f615,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | ~ c0_1(X48)
        | c3_1(X48) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f616,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f291,f614,f467,f430,f408]) ).

fof(f617,plain,
    ( ~ spl0_12
    | spl0_21
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f362,f614,f467,f471,f430]) ).

fof(f618,plain,
    ( spl0_26
    | spl0_36
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f363,f614,f467,f535,f493]) ).

fof(f620,definition,
    ( spl0_53
  <=> ! [X42] :
        ( c1_1(X42)
        | c2_1(X42)
        | c3_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f621,plain,
    ( ! [X42] :
        ( c1_1(X42)
        | c2_1(X42)
        | c3_1(X42) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( ~ spl0_4
    | spl0_53
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f364,f614,f467,f620,f395]) ).

fof(f623,plain,
    ( spl0_37
    | spl0_41
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f365,f614,f467,f560,f540]) ).

fof(f624,plain,
    ( spl0_51
    | spl0_46
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f366,f614,f467,f585,f608]) ).

fof(f626,definition,
    ( spl0_54
  <=> ! [X35] :
        ( ~ c0_1(X35)
        | ~ c1_1(X35)
        | ~ c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f627,plain,
    ( ! [X35] :
        ( ~ c1_1(X35)
        | ~ c0_1(X35)
        | ~ c2_1(X35) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( ~ spl0_4
    | spl0_31
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f285,f626,f467,f513,f395]) ).

fof(f630,plain,
    ( spl0_31
    | spl0_53
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f367,f626,f467,f620,f513]) ).

fof(f632,plain,
    ( ~ spl0_4
    | spl0_41
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f369,f626,f467,f560,f395]) ).

fof(f634,definition,
    ( spl0_55
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f637,plain,
    ( spl0_55
    | spl0_47
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f370,f626,f467,f590,f634]) ).

fof(f645,definition,
    ( spl0_57
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | ~ c3_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f646,plain,
    ( ! [X16] :
        ( c1_1(X16)
        | ~ c3_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f649,definition,
    ( spl0_58
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | ~ c3_1(X14)
        | ~ c2_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f650,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | ~ c0_1(X14)
        | ~ c2_1(X14) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f651,plain,
    ( spl0_53
    | spl0_58
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f375,f645,f467,f649,f620]) ).

fof(f653,definition,
    ( spl0_59
  <=> ! [X11] :
        ( ~ c0_1(X11)
        | c2_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f654,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( spl0_6
    | spl0_29
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f376,f653,f467,f505,f403]) ).

fof(f656,plain,
    ( spl0_16
    | spl0_33
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f377,f653,f467,f523,f448]) ).

fof(f657,plain,
    ( spl0_30
    | spl0_38
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f378,f653,f467,f545,f509]) ).

fof(f700,definition,
    ( spl0_68
  <=> c3_1(a1029) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f702,plain,
    ( c3_1(a1029)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( spl0_68
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f86,f425,f700]) ).

fof(f705,definition,
    ( spl0_69
  <=> c2_1(a1029) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ spl0_69
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f265,f425,f705]) ).

fof(f710,definition,
    ( spl0_70
  <=> c0_1(a1029) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f713,plain,
    ( ~ spl0_70
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f264,f425,f710]) ).

fof(f732,definition,
    ( spl0_74
  <=> c3_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_74
    | spl0_2 ),
    inference(avatar_split_clause,[],[f261,f386,f732]) ).

fof(f737,definition,
    ( spl0_75
  <=> c0_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f740,plain,
    ( spl0_75
    | spl0_2 ),
    inference(avatar_split_clause,[],[f260,f386,f737]) ).

fof(f742,definition,
    ( spl0_76
  <=> c1_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f744,plain,
    ( c1_1(a1048)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( spl0_76
    | spl0_2 ),
    inference(avatar_split_clause,[],[f259,f386,f742]) ).

fof(f746,plain,
    ( spl0_20
    | spl0_2 ),
    inference(avatar_split_clause,[],[f258,f386,f467]) ).

fof(f748,definition,
    ( spl0_77
  <=> c0_1(a1045) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f751,plain,
    ( spl0_77
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f257,f390,f748]) ).

fof(f753,definition,
    ( spl0_78
  <=> c3_1(a1045) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f755,plain,
    ( c3_1(a1045)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_78
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f99,f390,f753]) ).

fof(f758,definition,
    ( spl0_79
  <=> c1_1(a1045) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f760,plain,
    ( c1_1(a1045)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_79
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f100,f390,f758]) ).

fof(f762,plain,
    ( spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f101,f390,f467]) ).

fof(f764,definition,
    ( spl0_80
  <=> c3_1(a1044) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c3_1(a1044)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_80
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f102,f443,f764]) ).

fof(f769,definition,
    ( spl0_81
  <=> c1_1(a1044) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f771,plain,
    ( c1_1(a1044)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( spl0_81
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f103,f443,f769]) ).

fof(f774,definition,
    ( spl0_82
  <=> c0_1(a1044) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ spl0_82
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f256,f443,f774]) ).

fof(f780,definition,
    ( spl0_83
  <=> c2_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_83
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f255,f416,f780]) ).

fof(f785,definition,
    ( spl0_84
  <=> c1_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ c1_1(a1043)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( ~ spl0_84
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f107,f416,f785]) ).

fof(f790,definition,
    ( spl0_85
  <=> c0_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ spl0_85
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f254,f416,f790]) ).

fof(f828,definition,
    ( spl0_92
  <=> c3_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_92
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f118,f382,f828]) ).

fof(f833,definition,
    ( spl0_93
  <=> c1_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ c1_1(a1037)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( ~ spl0_93
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f119,f382,f833]) ).

fof(f838,definition,
    ( spl0_94
  <=> c0_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f249,f382,f838]) ).

fof(f842,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f121,f382,f467]) ).

fof(f860,definition,
    ( spl0_98
  <=> c0_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f863,plain,
    ( spl0_98
    | spl0_25 ),
    inference(avatar_split_clause,[],[f244,f489,f860]) ).

fof(f865,definition,
    ( spl0_99
  <=> c3_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f867,plain,
    ( c3_1(a1032)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f868,plain,
    ( spl0_99
    | spl0_25 ),
    inference(avatar_split_clause,[],[f243,f489,f865]) ).

fof(f870,definition,
    ( spl0_100
  <=> c2_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ spl0_100
    | spl0_25 ),
    inference(avatar_split_clause,[],[f242,f489,f870]) ).

fof(f892,definition,
    ( spl0_104
  <=> c1_1(a1026) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ c1_1(a1026)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( ~ spl0_104
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f134,f519,f892]) ).

fof(f897,definition,
    ( spl0_105
  <=> c0_1(a1026) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f900,plain,
    ( spl0_105
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f236,f519,f897]) ).

fof(f902,definition,
    ( spl0_106
  <=> c2_1(a1026) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_106
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f235,f519,f902]) ).

fof(f908,definition,
    ( spl0_107
  <=> c3_1(a1025) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ c3_1(a1025)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( ~ spl0_107
    | spl0_8 ),
    inference(avatar_split_clause,[],[f234,f412,f908]) ).

fof(f913,definition,
    ( spl0_108
  <=> c2_1(a1025) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_108
    | spl0_8 ),
    inference(avatar_split_clause,[],[f233,f412,f913]) ).

fof(f918,definition,
    ( spl0_109
  <=> c0_1(a1025) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl0_109
    | spl0_8 ),
    inference(avatar_split_clause,[],[f232,f412,f918]) ).

fof(f924,definition,
    ( spl0_110
  <=> c2_1(a1023) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f927,plain,
    ( spl0_110
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f230,f462,f924]) ).

fof(f929,definition,
    ( spl0_111
  <=> c1_1(a1023) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c1_1(a1023)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( ~ spl0_111
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f143,f462,f929]) ).

fof(f934,definition,
    ( spl0_112
  <=> c3_1(a1023) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f936,plain,
    ( c3_1(a1023)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f937,plain,
    ( spl0_112
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f144,f462,f934]) ).

fof(f940,definition,
    ( spl0_113
  <=> c0_1(a1019) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f943,plain,
    ( spl0_113
    | spl0_7 ),
    inference(avatar_split_clause,[],[f229,f408,f940]) ).

fof(f945,definition,
    ( spl0_114
  <=> c2_1(a1019) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ spl0_114
    | spl0_7 ),
    inference(avatar_split_clause,[],[f228,f408,f945]) ).

fof(f950,definition,
    ( spl0_115
  <=> c1_1(a1019) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f952,plain,
    ( c1_1(a1019)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f953,plain,
    ( spl0_115
    | spl0_7 ),
    inference(avatar_split_clause,[],[f227,f408,f950]) ).

fof(f956,definition,
    ( spl0_116
  <=> c1_1(a1015) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ c1_1(a1015)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( ~ spl0_116
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f150,f608,f956]) ).

fof(f961,definition,
    ( spl0_117
  <=> c0_1(a1015) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f964,plain,
    ( spl0_117
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f225,f608,f961]) ).

fof(f966,definition,
    ( spl0_118
  <=> c3_1(a1015) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_118
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f152,f608,f966]) ).

fof(f1004,definition,
    ( spl0_125
  <=> c1_1(a1010) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1006,plain,
    ( ~ c1_1(a1010)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1007,plain,
    ( ~ spl0_125
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f162,f513,f1004]) ).

fof(f1009,definition,
    ( spl0_126
  <=> c3_1(a1010) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1011,plain,
    ( c3_1(a1010)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( spl0_126
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f163,f513,f1009]) ).

fof(f1014,definition,
    ( spl0_127
  <=> c0_1(a1010) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ spl0_127
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f221,f513,f1014]) ).

fof(f1020,definition,
    ( spl0_128
  <=> c3_1(a1008) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1022,plain,
    ( ~ c3_1(a1008)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1023,plain,
    ( ~ spl0_128
    | spl0_4 ),
    inference(avatar_split_clause,[],[f220,f395,f1020]) ).

fof(f1025,definition,
    ( spl0_129
  <=> c1_1(a1008) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1027,plain,
    ( ~ c1_1(a1008)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1028,plain,
    ( ~ spl0_129
    | spl0_4 ),
    inference(avatar_split_clause,[],[f219,f395,f1025]) ).

fof(f1030,definition,
    ( spl0_130
  <=> c2_1(a1008) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ spl0_130
    | spl0_4 ),
    inference(avatar_split_clause,[],[f218,f395,f1030]) ).

fof(f1036,definition,
    ( spl0_131
  <=> c2_1(a1006) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_131
    | spl0_12 ),
    inference(avatar_split_clause,[],[f216,f430,f1036]) ).

fof(f1041,definition,
    ( spl0_132
  <=> c3_1(a1006) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1043,plain,
    ( c3_1(a1006)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1044,plain,
    ( spl0_132
    | spl0_12 ),
    inference(avatar_split_clause,[],[f215,f430,f1041]) ).

fof(f1046,definition,
    ( spl0_133
  <=> c0_1(a1006) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ spl0_133
    | spl0_12 ),
    inference(avatar_split_clause,[],[f214,f430,f1046]) ).

fof(f1068,definition,
    ( spl0_137
  <=> c3_1(a1004) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1070,plain,
    ( ~ c3_1(a1004)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( ~ spl0_137
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f403,f1068]) ).

fof(f1073,definition,
    ( spl0_138
  <=> c2_1(a1004) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ c2_1(a1004)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( ~ spl0_138
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f208,f403,f1073]) ).

fof(f1078,definition,
    ( spl0_139
  <=> c1_1(a1004) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1080,plain,
    ( c1_1(a1004)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1081,plain,
    ( spl0_139
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f180,f403,f1078]) ).

fof(f1084,definition,
    ( spl0_140
  <=> c2_1(a1003) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1087,plain,
    ( spl0_140
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f207,f448,f1084]) ).

fof(f1089,definition,
    ( spl0_141
  <=> c0_1(a1003) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1092,plain,
    ( spl0_141
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f206,f448,f1089]) ).

fof(f1094,definition,
    ( spl0_142
  <=> c1_1(a1003) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1096,plain,
    ( c1_1(a1003)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1097,plain,
    ( spl0_142
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f184,f448,f1094]) ).

fof(f1100,definition,
    ( spl0_143
  <=> c1_1(a1002) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1102,plain,
    ( ~ c1_1(a1002)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1103,plain,
    ( ~ spl0_143
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f186,f600,f1100]) ).

fof(f1105,definition,
    ( spl0_144
  <=> c2_1(a1002) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ spl0_144
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f205,f600,f1105]) ).

fof(f1110,definition,
    ( spl0_145
  <=> c0_1(a1002) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1113,plain,
    ( ~ spl0_145
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f204,f600,f1110]) ).

fof(f1116,definition,
    ( spl0_146
  <=> c1_1(a1001) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1118,plain,
    ( ~ c1_1(a1001)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( ~ spl0_146
    | spl0_48 ),
    inference(avatar_split_clause,[],[f203,f596,f1116]) ).

fof(f1121,definition,
    ( spl0_147
  <=> c3_1(a1001) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1124,plain,
    ( spl0_147
    | spl0_48 ),
    inference(avatar_split_clause,[],[f202,f596,f1121]) ).

fof(f1126,definition,
    ( spl0_148
  <=> c2_1(a1001) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1129,plain,
    ( ~ spl0_148
    | spl0_48 ),
    inference(avatar_split_clause,[],[f201,f596,f1126]) ).

fof(f1132,definition,
    ( spl0_149
  <=> c3_1(a1000) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1134,plain,
    ( ~ c3_1(a1000)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1135,plain,
    ( ~ spl0_149
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f194,f634,f1132]) ).

fof(f1137,definition,
    ( spl0_150
  <=> c2_1(a1000) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1140,plain,
    ( ~ spl0_150
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f199,f634,f1137]) ).

fof(f1142,definition,
    ( spl0_151
  <=> c0_1(a1000) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1145,plain,
    ( ~ spl0_151
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f198,f634,f1142]) ).

fof(f1148,plain,
    ( c0_1(a1029)
    | c2_1(a1029)
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(resolution,[],[f472,f702]) ).

fof(f1149,plain,
    ( spl0_69
    | spl0_70
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1148,f700,f471,f710,f705]) ).

fof(f1155,plain,
    ( c2_1(a1044)
    | c0_1(a1044)
    | ~ spl0_22
    | ~ spl0_81 ),
    inference(resolution,[],[f477,f771]) ).

fof(f1161,definition,
    ( spl0_153
  <=> c2_1(a1044) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1166,plain,
    ( c3_1(a1044)
    | c0_1(a1044)
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(resolution,[],[f498,f771]) ).

fof(f1170,plain,
    ( spl0_82
    | spl0_80
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1166,f769,f497,f764,f774]) ).

fof(f1177,definition,
    ( spl0_154
  <=> c2_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1183,definition,
    ( spl0_155
  <=> c3_1(a1019) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1184,plain,
    ( ~ c3_1(a1019)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1194,plain,
    ( ~ c2_1(a1044)
    | c0_1(a1044)
    | ~ spl0_30
    | ~ spl0_81 ),
    inference(resolution,[],[f510,f771]) ).

fof(f1199,plain,
    ( ~ c2_1(a1044)
    | c3_1(a1044)
    | ~ spl0_33
    | ~ spl0_81 ),
    inference(resolution,[],[f524,f771]) ).

fof(f1206,plain,
    ( c2_1(a1000)
    | c0_1(a1000)
    | ~ spl0_26
    | spl0_149 ),
    inference(resolution,[],[f494,f1134]) ).

fof(f1208,plain,
    ( c2_1(a1004)
    | c0_1(a1004)
    | ~ spl0_26
    | spl0_137 ),
    inference(resolution,[],[f494,f1070]) ).

fof(f1221,plain,
    ( c2_1(a1044)
    | c0_1(a1044)
    | ~ spl0_26
    | spl0_80 ),
    inference(resolution,[],[f494,f766]) ).

fof(f1226,definition,
    ( spl0_156
  <=> c2_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1242,definition,
    ( spl0_159
  <=> c0_1(a1023) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1247,definition,
    ( spl0_160
  <=> c2_1(a1015) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1257,definition,
    ( spl0_162
  <=> c2_1(a1010) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1262,definition,
    ( spl0_163
  <=> c0_1(a1008) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1273,definition,
    ( spl0_165
  <=> c0_1(a1004) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1282,plain,
    ( spl0_151
    | spl0_150
    | ~ spl0_26
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1206,f1132,f493,f1137,f1142]) ).

fof(f1294,plain,
    ( c0_1(a1025)
    | ~ c2_1(a1025)
    | ~ spl0_34
    | spl0_107 ),
    inference(resolution,[],[f528,f910]) ).

fof(f1299,plain,
    ( c0_1(a1044)
    | ~ c2_1(a1044)
    | ~ spl0_34
    | spl0_80 ),
    inference(resolution,[],[f528,f766]) ).

fof(f1314,plain,
    ( ~ c3_1(a1002)
    | c2_1(a1002)
    | ~ spl0_35
    | spl0_143 ),
    inference(resolution,[],[f532,f1102]) ).

fof(f1319,plain,
    ( ~ c3_1(a1010)
    | c2_1(a1010)
    | ~ spl0_35
    | spl0_125 ),
    inference(resolution,[],[f532,f1006]) ).

fof(f1324,plain,
    ( ~ c3_1(a1026)
    | c2_1(a1026)
    | ~ spl0_35
    | spl0_104 ),
    inference(resolution,[],[f532,f894]) ).

fof(f1338,definition,
    ( spl0_168
  <=> c3_1(a1026) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1340,plain,
    ( ~ c3_1(a1026)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1353,definition,
    ( spl0_171
  <=> c3_1(a1002) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1355,plain,
    ( ~ c3_1(a1002)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1353]) ).

fof(f1356,plain,
    ( spl0_144
    | ~ spl0_171
    | ~ spl0_35
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1314,f1100,f531,f1353,f1105]) ).

fof(f1368,plain,
    ( c2_1(a1002)
    | c0_1(a1002)
    | ~ spl0_26
    | spl0_171 ),
    inference(resolution,[],[f1355,f494]) ).

fof(f1369,plain,
    ( spl0_145
    | spl0_144
    | ~ spl0_26
    | spl0_171 ),
    inference(avatar_split_clause,[],[f1368,f1353,f493,f1105,f1110]) ).

fof(f1379,plain,
    ( ~ c3_1(a1010)
    | c0_1(a1010)
    | ~ spl0_36
    | spl0_125 ),
    inference(resolution,[],[f536,f1006]) ).

fof(f1383,plain,
    ( ~ c3_1(a1023)
    | c0_1(a1023)
    | ~ spl0_36
    | spl0_111 ),
    inference(resolution,[],[f536,f931]) ).

fof(f1395,definition,
    ( spl0_172
  <=> c3_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1411,plain,
    ( c2_1(a1002)
    | c0_1(a1002)
    | ~ spl0_38
    | spl0_143 ),
    inference(resolution,[],[f546,f1102]) ).

fof(f1414,plain,
    ( c2_1(a1008)
    | c0_1(a1008)
    | ~ spl0_38
    | spl0_129 ),
    inference(resolution,[],[f546,f1027]) ).

fof(f1430,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(resolution,[],[f550,f510]) ).

fof(f1447,plain,
    ( c0_1(a1043)
    | c3_1(a1043)
    | ~ spl0_39
    | spl0_84 ),
    inference(resolution,[],[f550,f787]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1430]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_41 ),
    inference(resolution,[],[f561,f510]) ).

fof(f1469,plain,
    ( ~ c3_1(a1010)
    | ~ c2_1(a1010)
    | ~ spl0_41
    | spl0_125 ),
    inference(resolution,[],[f561,f1006]) ).

fof(f1471,plain,
    ( ~ c3_1(a1015)
    | ~ c2_1(a1015)
    | ~ spl0_41
    | spl0_116 ),
    inference(resolution,[],[f561,f958]) ).

fof(f1472,plain,
    ( ~ c3_1(a1023)
    | ~ c2_1(a1023)
    | ~ spl0_41
    | spl0_111 ),
    inference(resolution,[],[f561,f931]) ).

fof(f1478,plain,
    ( ~ c3_1(a1043)
    | ~ c2_1(a1043)
    | ~ spl0_41
    | spl0_84 ),
    inference(resolution,[],[f561,f787]) ).

fof(f1480,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1461]) ).

fof(f1487,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_43 ),
    inference(resolution,[],[f570,f510]) ).

fof(f1502,plain,
    ( c3_1(a1037)
    | ~ c2_1(a1037)
    | ~ spl0_43
    | spl0_93 ),
    inference(resolution,[],[f570,f835]) ).

fof(f1508,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1487]) ).

fof(f1520,plain,
    ( spl0_34
    | ~ spl0_30
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1508,f569,f509,f527]) ).

fof(f1523,plain,
    ( spl0_159
    | ~ spl0_112
    | ~ spl0_36
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1383,f929,f535,f934,f1242]) ).

fof(f1528,plain,
    ( ~ spl0_160
    | ~ spl0_118
    | ~ spl0_41
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1471,f956,f560,f966,f1247]) ).

fof(f1544,plain,
    ( ~ c2_1(a1006)
    | c0_1(a1006)
    | ~ spl0_29
    | ~ spl0_132 ),
    inference(resolution,[],[f1043,f506]) ).

fof(f1556,plain,
    ( c2_1(a1004)
    | c3_1(a1004)
    | ~ spl0_24
    | ~ spl0_139 ),
    inference(resolution,[],[f486,f1080]) ).

fof(f1566,plain,
    ( c2_1(a1048)
    | c3_1(a1048)
    | ~ spl0_24
    | ~ spl0_76 ),
    inference(resolution,[],[f486,f744]) ).

fof(f1574,plain,
    ( spl0_127
    | ~ spl0_126
    | ~ spl0_36
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1379,f1004,f535,f1009,f1014]) ).

fof(f1582,plain,
    ( c2_1(a1010)
    | c0_1(a1010)
    | ~ spl0_38
    | spl0_125 ),
    inference(resolution,[],[f1006,f546]) ).

fof(f1584,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(resolution,[],[f472,f494]) ).

fof(f1589,plain,
    ( c0_1(a1010)
    | c2_1(a1010)
    | ~ spl0_21
    | ~ spl0_126 ),
    inference(resolution,[],[f472,f1011]) ).

fof(f1599,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1584]) ).

fof(f1603,plain,
    ( spl0_82
    | ~ spl0_153
    | ~ spl0_30
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1194,f769,f509,f1161,f774]) ).

fof(f1604,plain,
    ( spl0_34
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1451,f549,f509,f527]) ).

fof(f1607,plain,
    ( ~ spl0_162
    | ~ spl0_126
    | ~ spl0_41
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1469,f1004,f560,f1009,f1257]) ).

fof(f1608,plain,
    ( ~ spl0_110
    | ~ spl0_112
    | ~ spl0_41
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1472,f929,f560,f934,f924]) ).

fof(f1612,plain,
    ( ~ spl0_108
    | spl0_109
    | ~ spl0_34
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1294,f908,f527,f918,f913]) ).

fof(f1613,plain,
    ( ~ spl0_153
    | spl0_82
    | ~ spl0_34
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1299,f764,f527,f774,f1161]) ).

fof(f1616,plain,
    ( spl0_29
    | ~ spl0_30
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1480,f560,f509,f505]) ).

fof(f1619,plain,
    ( spl0_74
    | spl0_154
    | ~ spl0_24
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1566,f742,f485,f1177,f732]) ).

fof(f1620,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_24
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1556,f1078,f485,f1073,f1068]) ).

fof(f1624,plain,
    ( ~ spl0_156
    | spl0_92
    | ~ spl0_43
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1502,f833,f569,f828,f1226]) ).

fof(f1678,plain,
    ( ~ c3_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_28
    | ~ spl0_79 ),
    inference(resolution,[],[f502,f760]) ).

fof(f1686,definition,
    ( spl0_174
  <=> c2_1(a1045) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1745,plain,
    ( ~ c0_1(a1045)
    | c2_1(a1045)
    | ~ spl0_45
    | ~ spl0_78 ),
    inference(resolution,[],[f582,f755]) ).

fof(f1753,plain,
    ( spl0_174
    | ~ spl0_77
    | ~ spl0_45
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1745,f753,f581,f748,f1686]) ).

fof(f1775,plain,
    ( ~ c3_1(a1045)
    | ~ c0_1(a1045)
    | ~ spl0_46
    | ~ spl0_79 ),
    inference(resolution,[],[f586,f760]) ).

fof(f1782,plain,
    ( ~ spl0_77
    | ~ spl0_78
    | ~ spl0_46
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1775,f758,f585,f753,f748]) ).

fof(f1796,plain,
    ( ~ c3_1(a1019)
    | c2_1(a1019)
    | ~ spl0_37
    | ~ spl0_115 ),
    inference(resolution,[],[f541,f952]) ).

fof(f1802,plain,
    ( ~ c3_1(a1045)
    | c2_1(a1045)
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(resolution,[],[f541,f760]) ).

fof(f1810,plain,
    ( spl0_174
    | ~ spl0_78
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1802,f758,f540,f753,f1686]) ).

fof(f1811,plain,
    ( spl0_114
    | ~ spl0_155
    | ~ spl0_37
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1796,f950,f540,f1183,f945]) ).

fof(f1812,plain,
    ( spl0_162
    | ~ spl0_126
    | ~ spl0_35
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1319,f1004,f531,f1009,f1257]) ).

fof(f1813,plain,
    ( spl0_106
    | ~ spl0_168
    | ~ spl0_35
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1324,f892,f531,f1338,f902]) ).

fof(f1814,plain,
    ( ~ spl0_83
    | ~ spl0_172
    | ~ spl0_41
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1478,f785,f560,f1395,f780]) ).

fof(f1820,plain,
    ( c0_1(a1004)
    | ~ spl0_21
    | ~ spl0_26
    | spl0_138 ),
    inference(resolution,[],[f1075,f1599]) ).

fof(f1826,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_37 ),
    inference(resolution,[],[f532,f541]) ).

fof(f1827,plain,
    ( ~ c3_1(a1001)
    | c2_1(a1001)
    | ~ spl0_35
    | spl0_146 ),
    inference(resolution,[],[f532,f1118]) ).

fof(f1834,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1826]) ).

fof(f1843,plain,
    ( c2_1(a1032)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(resolution,[],[f1834,f867]) ).

fof(f1853,plain,
    ( spl0_100
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1843,f865,f540,f531,f870]) ).

fof(f1860,plain,
    ( c0_1(a1008)
    | c3_1(a1008)
    | ~ spl0_39
    | spl0_129 ),
    inference(resolution,[],[f550,f1027]) ).

fof(f1873,plain,
    ( c2_1(a1004)
    | ~ c0_1(a1004)
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(resolution,[],[f591,f1080]) ).

fof(f1877,plain,
    ( c2_1(a1019)
    | ~ c0_1(a1019)
    | ~ spl0_47
    | ~ spl0_115 ),
    inference(resolution,[],[f591,f952]) ).

fof(f1889,plain,
    ( ~ spl0_113
    | spl0_114
    | ~ spl0_47
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1877,f950,f590,f945,f940]) ).

fof(f1897,plain,
    ( ~ spl0_174
    | ~ spl0_78
    | ~ spl0_28
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1678,f758,f501,f753,f1686]) ).

fof(f1902,plain,
    ( spl0_133
    | ~ spl0_131
    | ~ spl0_29
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1544,f1041,f505,f1036,f1046]) ).

fof(f1911,plain,
    ( spl0_82
    | spl0_153
    | ~ spl0_26
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1221,f764,f493,f1161,f774]) ).

fof(f1943,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(resolution,[],[f586,f532]) ).

fof(f1966,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1943]) ).

fof(f1967,plain,
    ( spl0_45
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1966,f585,f531,f581]) ).

fof(f1972,plain,
    ( ~ c0_1(a1032)
    | c2_1(a1032)
    | ~ spl0_45
    | ~ spl0_99 ),
    inference(resolution,[],[f582,f867]) ).

fof(f1984,plain,
    ( c2_1(a1004)
    | ~ c0_1(a1004)
    | ~ spl0_50
    | spl0_137 ),
    inference(resolution,[],[f605,f1070]) ).

fof(f1986,plain,
    ( c2_1(a1008)
    | ~ c0_1(a1008)
    | ~ spl0_50
    | spl0_128 ),
    inference(resolution,[],[f605,f1022]) ).

fof(f1989,plain,
    ( c2_1(a1019)
    | ~ c0_1(a1019)
    | ~ spl0_50
    | spl0_155 ),
    inference(resolution,[],[f605,f1184]) ).

fof(f1992,plain,
    ( c2_1(a1026)
    | ~ c0_1(a1026)
    | ~ spl0_50
    | spl0_168 ),
    inference(resolution,[],[f605,f1340]) ).

fof(f2006,plain,
    ( ~ spl0_105
    | spl0_106
    | ~ spl0_50
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1992,f1338,f604,f902,f897]) ).

fof(f2007,plain,
    ( ~ spl0_113
    | spl0_114
    | ~ spl0_50
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1989,f1183,f604,f945,f940]) ).

fof(f2009,plain,
    ( ~ spl0_163
    | spl0_130
    | ~ spl0_50
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1986,f1020,f604,f1030,f1262]) ).

fof(f2011,plain,
    ( ~ spl0_165
    | spl0_138
    | ~ spl0_50
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1984,f1068,f604,f1073,f1273]) ).

fof(f2014,plain,
    ( spl0_145
    | spl0_144
    | ~ spl0_38
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1411,f1100,f545,f1105,f1110]) ).

fof(f2018,plain,
    ( spl0_148
    | ~ spl0_147
    | ~ spl0_35
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1827,f1116,f531,f1121,f1126]) ).

fof(f2020,plain,
    ( spl0_172
    | spl0_85
    | ~ spl0_39
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1447,f785,f549,f790,f1395]) ).

fof(f2079,plain,
    ( c2_1(a1044)
    | c3_1(a1044)
    | ~ spl0_24
    | ~ spl0_81 ),
    inference(resolution,[],[f486,f771]) ).

fof(f2139,plain,
    ( ~ c0_1(a1048)
    | c3_1(a1048)
    | ~ spl0_52
    | ~ spl0_76 ),
    inference(resolution,[],[f615,f744]) ).

fof(f2167,plain,
    ( c2_1(a1008)
    | c3_1(a1008)
    | ~ spl0_53
    | spl0_129 ),
    inference(resolution,[],[f621,f1027]) ).

fof(f2170,plain,
    ( c2_1(a1026)
    | c3_1(a1026)
    | ~ spl0_53
    | spl0_104 ),
    inference(resolution,[],[f621,f894]) ).

fof(f2183,plain,
    ( spl0_168
    | spl0_106
    | ~ spl0_53
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2170,f892,f620,f902,f1338]) ).

fof(f2186,plain,
    ( spl0_128
    | spl0_130
    | ~ spl0_53
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2167,f1025,f620,f1030,f1020]) ).

fof(f2195,plain,
    ( ~ c0_1(a1003)
    | ~ c2_1(a1003)
    | ~ spl0_54
    | ~ spl0_142 ),
    inference(resolution,[],[f627,f1096]) ).

fof(f2202,plain,
    ( ~ c0_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_54
    | ~ spl0_79 ),
    inference(resolution,[],[f627,f760]) ).

fof(f2203,plain,
    ( ~ c0_1(a1048)
    | ~ c2_1(a1048)
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(resolution,[],[f627,f744]) ).

fof(f2208,plain,
    ( ~ spl0_174
    | ~ spl0_77
    | ~ spl0_54
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2202,f758,f626,f748,f1686]) ).

fof(f2210,plain,
    ( ~ spl0_140
    | ~ spl0_141
    | ~ spl0_54
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2195,f1094,f626,f1089,f1084]) ).

fof(f2215,plain,
    ( spl0_74
    | ~ spl0_75
    | ~ spl0_52
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2139,f742,f614,f737,f732]) ).

fof(f2216,plain,
    ( ~ spl0_154
    | ~ spl0_75
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2203,f742,f626,f737,f1177]) ).

fof(f2220,plain,
    ( spl0_80
    | ~ spl0_153
    | ~ spl0_33
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1199,f769,f523,f1161,f764]) ).

fof(f2224,plain,
    ( spl0_162
    | spl0_127
    | ~ spl0_21
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1589,f1009,f471,f1014,f1257]) ).

fof(f2225,plain,
    ( ~ spl0_165
    | spl0_138
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1873,f1078,f590,f1073,f1273]) ).

fof(f2226,plain,
    ( spl0_163
    | spl0_130
    | ~ spl0_38
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1414,f1025,f545,f1030,f1262]) ).

fof(f2228,plain,
    ( spl0_128
    | spl0_163
    | ~ spl0_39
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1860,f1025,f549,f1262,f1020]) ).

fof(f2230,plain,
    ( spl0_127
    | spl0_162
    | ~ spl0_38
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1582,f1004,f545,f1257,f1014]) ).

fof(f2251,plain,
    ( ~ c2_1(a1010)
    | c0_1(a1010)
    | ~ spl0_29
    | ~ spl0_126 ),
    inference(resolution,[],[f506,f1011]) ).

fof(f2262,plain,
    ( spl0_127
    | ~ spl0_162
    | ~ spl0_29
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2251,f1009,f505,f1257,f1014]) ).

fof(f2263,plain,
    ( spl0_82
    | spl0_153
    | ~ spl0_22
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1155,f769,f476,f1161,f774]) ).

fof(f2270,plain,
    ( spl0_80
    | spl0_153
    | ~ spl0_24
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2079,f769,f485,f1161,f764]) ).

fof(f2280,plain,
    ( spl0_100
    | ~ spl0_98
    | ~ spl0_45
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1972,f865,f581,f860,f870]) ).

fof(f2290,plain,
    ( spl0_165
    | spl0_138
    | ~ spl0_26
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1208,f1068,f493,f1073,f1273]) ).

fof(f2292,plain,
    ( spl0_165
    | ~ spl0_21
    | ~ spl0_26
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1820,f1073,f493,f471,f1273]) ).

fof(f2432,plain,
    ( ~ c3_1(a1015)
    | ~ c0_1(a1015)
    | ~ spl0_57
    | spl0_116 ),
    inference(resolution,[],[f646,f958]) ).

fof(f2434,plain,
    ( ~ c3_1(a1023)
    | ~ c0_1(a1023)
    | ~ spl0_57
    | spl0_111 ),
    inference(resolution,[],[f646,f931]) ).

fof(f2446,plain,
    ( ~ spl0_159
    | ~ spl0_112
    | ~ spl0_57
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2434,f929,f645,f934,f1242]) ).

fof(f2447,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_57
    | spl0_116 ),
    inference(avatar_split_clause,[],[f2432,f956,f645,f966,f961]) ).

fof(f2459,plain,
    ( ~ c0_1(a1023)
    | ~ c2_1(a1023)
    | ~ spl0_58
    | ~ spl0_112 ),
    inference(resolution,[],[f650,f936]) ).

fof(f2464,plain,
    ( ~ c0_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_58
    | ~ spl0_78 ),
    inference(resolution,[],[f650,f755]) ).

fof(f2469,plain,
    ( ~ spl0_174
    | ~ spl0_77
    | ~ spl0_58
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2464,f753,f649,f748,f1686]) ).

fof(f2472,plain,
    ( ~ spl0_110
    | ~ spl0_159
    | ~ spl0_58
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2459,f934,f649,f1242,f924]) ).

fof(f2489,plain,
    ( c2_1(a1008)
    | ~ c0_1(a1008)
    | ~ spl0_59
    | spl0_129 ),
    inference(resolution,[],[f654,f1027]) ).

fof(f2491,plain,
    ( c2_1(a1015)
    | ~ c0_1(a1015)
    | ~ spl0_59
    | spl0_116 ),
    inference(resolution,[],[f654,f958]) ).

fof(f2494,plain,
    ( c2_1(a1026)
    | ~ c0_1(a1026)
    | ~ spl0_59
    | spl0_104 ),
    inference(resolution,[],[f654,f894]) ).

fof(f2496,plain,
    ( c2_1(a1037)
    | ~ c0_1(a1037)
    | ~ spl0_59
    | spl0_93 ),
    inference(resolution,[],[f654,f835]) ).

fof(f2509,plain,
    ( ~ spl0_94
    | spl0_156
    | ~ spl0_59
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2496,f833,f653,f1226,f838]) ).

fof(f2511,plain,
    ( ~ spl0_105
    | spl0_106
    | ~ spl0_59
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2494,f892,f653,f902,f897]) ).

fof(f2513,plain,
    ( ~ spl0_117
    | spl0_160
    | ~ spl0_59
    | spl0_116 ),
    inference(avatar_split_clause,[],[f2491,f956,f653,f1247,f961]) ).

fof(f2514,plain,
    ( ~ spl0_163
    | spl0_130
    | ~ spl0_59
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2489,f1025,f653,f1030,f1262]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s5,plain,
    ( ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s14,plain,
    ( spl0_6
    | spl0_15
    | ~ spl0_20
    | spl0_24 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s15,plain,
    ( ~ spl0_20
    | spl0_22
    | ~ spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s16,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_20
    | spl0_27 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s17,plain,
    ( spl0_9
    | ~ spl0_12
    | ~ spl0_20
    | spl0_28 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s18,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_20
    | spl0_29 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s19,plain,
    ( ~ spl0_12
    | spl0_19
    | ~ spl0_20
    | spl0_30 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s22,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s23,plain,
    ( ~ spl0_2
    | spl0_16
    | ~ spl0_20
    | spl0_34 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s24,plain,
    ( ~ spl0_20
    | spl0_24
    | spl0_29
    | spl0_35 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s25,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_32
    | spl0_36 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s26,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_36 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s29,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_35
    | spl0_38 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s33,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s36,plain,
    ( ~ spl0_20
    | ~ spl0_25
    | spl0_27
    | spl0_43 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s37,plain,
    ( ~ spl0_7
    | ~ spl0_20
    | spl0_29
    | spl0_43 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s40,plain,
    ( spl0_19
    | ~ spl0_20
    | spl0_39
    | spl0_43 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s42,plain,
    ( ~ spl0_20
    | spl0_32
    | spl0_36
    | spl0_46 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s43,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s45,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_35
    | spl0_47 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s47,plain,
    ( ~ spl0_20
    | ~ spl0_48
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s48,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s49,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_38
    | spl0_50 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s50,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_20
    | spl0_52 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s51,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_21
    | spl0_52 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s52,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_36
    | spl0_52 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s53,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s54,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_41
    | spl0_52 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s55,plain,
    ( ~ spl0_20
    | spl0_46
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s56,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s58,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s60,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_41
    | spl0_54 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s61,plain,
    ( ~ spl0_20
    | spl0_47
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s66,plain,
    ( ~ spl0_20
    | spl0_53
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s67,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_29
    | spl0_59 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s68,plain,
    ( spl0_16
    | ~ spl0_20
    | spl0_33
    | spl0_59 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s69,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_38
    | spl0_59 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s81,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s82,plain,
    ( ~ spl0_11
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s83,plain,
    ( ~ spl0_11
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s89,plain,
    ( spl0_2
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s90,plain,
    ( spl0_2
    | spl0_75 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s91,plain,
    ( spl0_2
    | spl0_76 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s92,plain,
    ( spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s93,plain,
    ( ~ spl0_3
    | spl0_77 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s94,plain,
    ( ~ spl0_3
    | spl0_78 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s95,plain,
    ( ~ spl0_3
    | spl0_79 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s96,plain,
    ( ~ spl0_3
    | spl0_20 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s97,plain,
    ( ~ spl0_15
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s98,plain,
    ( ~ spl0_15
    | spl0_81 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s99,plain,
    ( ~ spl0_15
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s101,plain,
    ( ~ spl0_9
    | spl0_83 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s102,plain,
    ( ~ spl0_9
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s103,plain,
    ( ~ spl0_9
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s113,plain,
    ( ~ spl0_1
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s114,plain,
    ( ~ spl0_1
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s115,plain,
    ( ~ spl0_1
    | spl0_94 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s116,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s121,plain,
    ( spl0_25
    | spl0_98 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s122,plain,
    ( spl0_25
    | spl0_99 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s123,plain,
    ( spl0_25
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s129,plain,
    ( ~ spl0_32
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s130,plain,
    ( ~ spl0_32
    | spl0_105 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s131,plain,
    ( ~ spl0_32
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s133,plain,
    ( spl0_8
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s134,plain,
    ( spl0_8
    | spl0_108 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s135,plain,
    ( spl0_8
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s137,plain,
    ( ~ spl0_19
    | spl0_110 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s138,plain,
    ( ~ spl0_19
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s139,plain,
    ( ~ spl0_19
    | spl0_112 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s141,plain,
    ( spl0_7
    | spl0_113 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s142,plain,
    ( spl0_7
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s143,plain,
    ( spl0_7
    | spl0_115 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s145,plain,
    ( ~ spl0_51
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s146,plain,
    ( ~ spl0_51
    | spl0_117 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s147,plain,
    ( ~ spl0_51
    | spl0_118 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s157,plain,
    ( ~ spl0_31
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s158,plain,
    ( ~ spl0_31
    | spl0_126 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s159,plain,
    ( ~ spl0_31
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s161,plain,
    ( spl0_4
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s162,plain,
    ( spl0_4
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s163,plain,
    ( spl0_4
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s165,plain,
    ( spl0_12
    | spl0_131 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s166,plain,
    ( spl0_12
    | spl0_132 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s167,plain,
    ( spl0_12
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s173,plain,
    ( ~ spl0_6
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s174,plain,
    ( ~ spl0_6
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s175,plain,
    ( ~ spl0_6
    | spl0_139 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s177,plain,
    ( ~ spl0_16
    | spl0_140 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s178,plain,
    ( ~ spl0_16
    | spl0_141 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s179,plain,
    ( ~ spl0_16
    | spl0_142 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s181,plain,
    ( ~ spl0_49
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s182,plain,
    ( ~ spl0_49
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s183,plain,
    ( ~ spl0_49
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s185,plain,
    ( spl0_48
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s186,plain,
    ( spl0_48
    | spl0_147 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s187,plain,
    ( spl0_48
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s189,plain,
    ( ~ spl0_55
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s190,plain,
    ( ~ spl0_55
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s191,plain,
    ( ~ spl0_55
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s193,plain,
    ( ~ spl0_21
    | ~ spl0_68
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f1149]) ).

cnf(s197,plain,
    ( ~ spl0_27
    | spl0_80
    | ~ spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s217,plain,
    ( ~ spl0_26
    | spl0_149
    | spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f1282]) ).

cnf(s230,plain,
    ( ~ spl0_35
    | spl0_143
    | spl0_144
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1356]) ).

cnf(s235,plain,
    ( ~ spl0_26
    | spl0_144
    | spl0_145
    | spl0_171 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s261,plain,
    ( ~ spl0_30
    | spl0_34
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s264,plain,
    ( ~ spl0_36
    | spl0_111
    | ~ spl0_112
    | spl0_159 ),
    inference(sat_conversion,[],[f1523]) ).

cnf(s269,plain,
    ( ~ spl0_41
    | spl0_116
    | ~ spl0_118
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1528]) ).

cnf(s283,plain,
    ( ~ spl0_36
    | spl0_125
    | ~ spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s290,plain,
    ( ~ spl0_30
    | ~ spl0_81
    | spl0_82
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s291,plain,
    ( ~ spl0_30
    | spl0_34
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s294,plain,
    ( ~ spl0_41
    | spl0_125
    | ~ spl0_126
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s295,plain,
    ( ~ spl0_41
    | ~ spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1608]) ).

cnf(s299,plain,
    ( ~ spl0_34
    | spl0_107
    | ~ spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s300,plain,
    ( ~ spl0_34
    | spl0_80
    | spl0_82
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s303,plain,
    ( spl0_29
    | ~ spl0_30
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s306,plain,
    ( ~ spl0_24
    | spl0_74
    | ~ spl0_76
    | spl0_154 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s307,plain,
    ( ~ spl0_24
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s311,plain,
    ( ~ spl0_43
    | spl0_92
    | spl0_93
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s327,plain,
    ( ~ spl0_45
    | ~ spl0_77
    | ~ spl0_78
    | spl0_174 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s334,plain,
    ( ~ spl0_46
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s339,plain,
    ( ~ spl0_37
    | ~ spl0_78
    | ~ spl0_79
    | spl0_174 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s340,plain,
    ( ~ spl0_37
    | spl0_114
    | ~ spl0_115
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1811]) ).

cnf(s341,plain,
    ( ~ spl0_35
    | spl0_125
    | ~ spl0_126
    | spl0_162 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s342,plain,
    ( ~ spl0_35
    | spl0_104
    | spl0_106
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s343,plain,
    ( ~ spl0_41
    | ~ spl0_83
    | spl0_84
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s346,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_99
    | spl0_100 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s348,plain,
    ( ~ spl0_47
    | ~ spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s357,plain,
    ( ~ spl0_28
    | ~ spl0_78
    | ~ spl0_79
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s362,plain,
    ( ~ spl0_29
    | ~ spl0_131
    | ~ spl0_132
    | spl0_133 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s371,plain,
    ( ~ spl0_26
    | spl0_80
    | spl0_82
    | spl0_153 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s386,plain,
    ( ~ spl0_35
    | spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s391,plain,
    ( ~ spl0_50
    | ~ spl0_105
    | spl0_106
    | spl0_168 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s392,plain,
    ( ~ spl0_50
    | ~ spl0_113
    | spl0_114
    | spl0_155 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s394,plain,
    ( ~ spl0_50
    | spl0_128
    | spl0_130
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s396,plain,
    ( ~ spl0_50
    | spl0_137
    | spl0_138
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s399,plain,
    ( ~ spl0_38
    | spl0_143
    | spl0_144
    | spl0_145 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s403,plain,
    ( ~ spl0_35
    | spl0_146
    | ~ spl0_147
    | spl0_148 ),
    inference(sat_conversion,[],[f2018]) ).

cnf(s405,plain,
    ( ~ spl0_39
    | spl0_84
    | spl0_85
    | spl0_172 ),
    inference(sat_conversion,[],[f2020]) ).

cnf(s416,plain,
    ( ~ spl0_53
    | spl0_104
    | spl0_106
    | spl0_168 ),
    inference(sat_conversion,[],[f2183]) ).

cnf(s419,plain,
    ( ~ spl0_53
    | spl0_128
    | spl0_129
    | spl0_130 ),
    inference(sat_conversion,[],[f2186]) ).

cnf(s423,plain,
    ( ~ spl0_54
    | ~ spl0_77
    | ~ spl0_79
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2208]) ).

cnf(s425,plain,
    ( ~ spl0_54
    | ~ spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2210]) ).

cnf(s430,plain,
    ( ~ spl0_52
    | spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f2215]) ).

cnf(s431,plain,
    ( ~ spl0_54
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2216]) ).

cnf(s435,plain,
    ( ~ spl0_33
    | spl0_80
    | ~ spl0_81
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s439,plain,
    ( ~ spl0_21
    | ~ spl0_126
    | spl0_127
    | spl0_162 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s440,plain,
    ( ~ spl0_47
    | spl0_138
    | ~ spl0_139
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s441,plain,
    ( ~ spl0_38
    | spl0_129
    | spl0_130
    | spl0_163 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s443,plain,
    ( ~ spl0_39
    | spl0_128
    | spl0_129
    | spl0_163 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s445,plain,
    ( ~ spl0_38
    | spl0_125
    | spl0_127
    | spl0_162 ),
    inference(sat_conversion,[],[f2230]) ).

cnf(s449,plain,
    ( ~ spl0_29
    | ~ spl0_126
    | spl0_127
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2262]) ).

cnf(s450,plain,
    ( ~ spl0_22
    | ~ spl0_81
    | spl0_82
    | spl0_153 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s461,plain,
    ( ~ spl0_24
    | spl0_80
    | ~ spl0_81
    | spl0_153 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s471,plain,
    ( ~ spl0_45
    | ~ spl0_98
    | ~ spl0_99
    | spl0_100 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s481,plain,
    ( ~ spl0_26
    | spl0_137
    | spl0_138
    | spl0_165 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s483,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | spl0_138
    | spl0_165 ),
    inference(sat_conversion,[],[f2292]) ).

cnf(s492,plain,
    ( ~ spl0_57
    | spl0_111
    | ~ spl0_112
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2446]) ).

cnf(s493,plain,
    ( ~ spl0_57
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s498,plain,
    ( ~ spl0_58
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2469]) ).

cnf(s501,plain,
    ( ~ spl0_58
    | ~ spl0_110
    | ~ spl0_112
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s507,plain,
    ( ~ spl0_59
    | spl0_93
    | ~ spl0_94
    | spl0_156 ),
    inference(sat_conversion,[],[f2509]) ).

cnf(s509,plain,
    ( ~ spl0_59
    | spl0_104
    | ~ spl0_105
    | spl0_106 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s511,plain,
    ( ~ spl0_59
    | spl0_116
    | ~ spl0_117
    | spl0_160 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s512,plain,
    ( ~ spl0_59
    | spl0_129
    | spl0_130
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2514]) ).

cnf(s518,plain,
    ( spl0_12
    | ~ spl0_29 ),
    inference(rat,[],[s362,s165,s166,s167]) ).

cnf(s519,plain,
    ( ~ spl0_31
    | ~ spl0_29
    | ~ spl0_21 ),
    inference(rat,[],[s439,s449,s158,s159]) ).

cnf(s521,plain,
    ( spl0_163
    | spl0_4
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s33,s443,s441,s163,s162,s161]) ).

cnf(s522,plain,
    ( spl0_6
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s197,s97,s98,s99,s14,s306,s431,s58,s519,s51,s518,s67,s16,s430,s89,s90,s91,s419,s161,s512,s521,s92,s163,s162]) ).

cnf(s523,plain,
    ( spl0_8
    | ~ spl0_34 ),
    inference(rat,[],[s299,s133,s134,s135]) ).

cnf(s524,plain,
    ( ~ spl0_11
    | ~ spl0_21 ),
    inference(rat,[],[s193,s81,s82,s83]) ).

cnf(s527,plain,
    ( spl0_36
    | spl0_47
    | spl0_59
    | spl0_2 ),
    inference(rat,[],[s217,s189,s190,s191,s61,s425,s177,s178,s179,s68,s435,s371,s97,s98,s99,s26,s52,s92,s430,s89,s90,s91]) ).

cnf(s528,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | spl0_53
    | ~ spl0_20 ),
    inference(rat,[],[s66,s501,s492,s264,s137,s138,s139]) ).

cnf(s532,plain,
    ( spl0_25
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s43,s386,s471,s346,s121,s122,s123]) ).

cnf(s533,plain,
    ( ~ spl0_16
    | ~ spl0_54 ),
    inference(rat,[],[s425,s177,s178,s179]) ).

cnf(s534,plain,
    ( spl0_16
    | ~ spl0_25
    | spl0_29
    | spl0_59
    | ~ spl0_20 ),
    inference(rat,[],[s15,s371,s450,s435,s97,s98,s99,s18,s68]) ).

cnf(s535,plain,
    ( spl0_36
    | spl0_137
    | spl0_138
    | ~ spl0_139
    | spl0_59
    | spl0_2 ),
    inference(rat,[],[s440,s481,s527,s52,s92,s430,s89,s90,s91]) ).

cnf(s536,plain,
    ( ~ spl0_31
    | ~ spl0_36 ),
    inference(rat,[],[s283,s157,s158,s159]) ).

cnf(s537,plain,
    ( spl0_29
    | spl0_16
    | spl0_24
    | spl0_59
    | ~ spl0_20 ),
    inference(rat,[],[s532,s534,s24]) ).

cnf(s538,plain,
    ( spl0_4
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s40,s261,s291,s523,s5,s19,s518,s537,s524,s11,s533,s58,s536,s528,s535,s307,s173,s174,s175,s522,s512,s521,s419,s161,s162,s163,s92]) ).

cnf(s539,plain,
    ( spl0_29
    | spl0_59
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s56,s533,s536,s537,s535,s307,s173,s174,s175,s67,s92]) ).

cnf(s540,plain,
    ( spl0_19
    | spl0_34
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(rat,[],[s40,s261,s291,s19]) ).

cnf(s542,plain,
    ( ~ spl0_15
    | spl0_82
    | ~ spl0_33
    | ~ spl0_22 ),
    inference(rat,[],[s450,s435,s97,s98]) ).

cnf(s548,plain,
    ( ~ spl0_32
    | ~ spl0_35
    | ~ spl0_53 ),
    inference(rat,[],[s342,s416,s129,s131]) ).

cnf(s550,plain,
    ( spl0_48
    | ~ spl0_35 ),
    inference(rat,[],[s403,s185,s186,s187]) ).

cnf(s551,plain,
    ( ~ spl0_29
    | spl0_2 ),
    inference(rat,[],[s399,s181,s182,s183,s47,s550,s49,s392,s340,s54,s295,s137,s138,s139,s540,s45,s523,s348,s5,s141,s142,s143,s524,s519,s50,s51,s518,s92,s430,s89,s90,s91]) ).

cnf(s552,plain,
    ( ~ spl0_54
    | spl0_38
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s483,s396,s173,s174,s49,s16,s300,s22,s197,s450,s542,s548,s97,s98,s99,s24,s18,s11,s306,s533,s431,s551,s12,s53,s538,s92,s430,s89,s90,s91]) ).

cnf(s553,plain,
    ( ~ spl0_32
    | ~ spl0_59 ),
    inference(rat,[],[s509,s129,s130,s131]) ).

cnf(s554,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s399,s181,s182,s183,s47,s396,s483,s173,s174,s16,s22,s197,s542,s550,s97,s98,s99,s24,s18,s11,s306,s552,s533,s431,s56,s536,s25,s553,s539,s12,s538,s92,s91,s90,s89,s551]) ).

cnf(s555,plain,
    ( spl0_59
    | spl0_2 ),
    inference(rat,[],[s58,s533,s536,s537,s535,s307,s419,s173,s174,s175,s161,s162,s163,s67,s539,s92,s551]) ).

cnf(s556,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s512,s521,s162,s163,s56,s423,s339,s54,s536,s269,s42,s511,s553,s555,s145,s146,s147,s55,s334,s93,s94,s95,s554,s430,s89,s90,s91,s92]) ).

cnf(s557,plain,
    ( spl0_174
    | ~ spl0_3 ),
    inference(rat,[],[s43,s339,s327,s96,s334,s93,s94,s95]) ).

cnf(s558,plain,
    ( ~ spl0_4
    | ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s33,s445,s405,s449,s343,s157,s158,s159,s60,s56,s423,s93,s103,s102,s101,s17,s357,s557,s95,s94,s96,s1,s556,s518]) ).

cnf(s559,plain,
    ( ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s29,s341,s445,s449,s157,s158,s159,s58,s419,s161,s162,s163,s558,s518,s96,s423,s557,s95,s93,s1,s556]) ).

cnf(s560,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s69,s553,s445,s42,s294,s303,s536,s157,s158,s159,s60,s56,s96,s334,s94,s423,s557,s95,s93,s1,s556,s559]) ).

cnf(s561,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(rat,[],[s493,s145,s146,s147,s48,s536,s58,s66,s394,s419,s521,s161,s162,s163,s560,s498,s423,s557,s93,s94,s95,s96,s1]) ).

cnf(s562,plain,
    spl0_1,
    inference(rat,[],[s561,s556]) ).

cnf(s563,plain,
    spl0_20,
    inference(rat,[],[s116,s562]) ).

cnf(s564,plain,
    spl0_94,
    inference(rat,[],[s115,s562]) ).

cnf(s565,plain,
    ~ spl0_93,
    inference(rat,[],[s114,s562]) ).

cnf(s566,plain,
    ~ spl0_92,
    inference(rat,[],[s113,s562]) ).

cnf(s567,plain,
    ( spl0_31
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s197,s97,s98,s99,s36,s18,s532,s533,s45,s56,s348,s141,s142,s143,s37,s311,s507,s555,s551,s563,s566,s565,s564]) ).

cnf(s568,plain,
    ( spl0_36
    | spl0_32 ),
    inference(rat,[],[s334,s93,s94,s95,s42,s25,s563]) ).

cnf(s569,plain,
    spl0_2,
    inference(rat,[],[s40,s528,s443,s419,s512,s161,s162,s163,s567,s536,s568,s311,s507,s553,s555,s563,s565,s566,s564]) ).

cnf(s570,plain,
    ( ~ spl0_54
    | ~ spl0_12 ),
    inference(rat,[],[s423,s557,s93,s95,s11,s524,s5,s523,s23,s533,s563,s569]) ).

cnf(s571,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s29,s341,s445,s294,s157,s158,s159,s60,s56,s570,s563]) ).

cnf(s572,plain,
    ( spl0_16
    | ~ spl0_4 ),
    inference(rat,[],[s450,s300,s97,s98,s99,s23,s18,s12,s518,s571,s563,s569]) ).

cnf(s573,plain,
    ~ spl0_4,
    inference(rat,[],[s69,s553,s445,s568,s294,s303,s536,s157,s158,s159,s60,s56,s533,s572,s518,s571,s563]) ).

cnf(s574,plain,
    ~ spl0_130,
    inference(rat,[],[s163,s573]) ).

cnf(s575,plain,
    ~ spl0_129,
    inference(rat,[],[s162,s573]) ).

cnf(s576,plain,
    ~ spl0_128,
    inference(rat,[],[s161,s573]) ).

cnf(s577,plain,
    ~ spl0_53,
    inference(rat,[],[s419,s575,s574,s576]) ).

cnf(s578,plain,
    ~ spl0_29,
    inference(rat,[],[s29,s341,s445,s449,s157,s158,s159,s58,s570,s518,s563,s577]) ).

cnf(s579,plain,
    spl0_16,
    inference(rat,[],[s532,s15,s24,s371,s450,s461,s300,s97,s98,s99,s23,s18,s563,s578,s569]) ).

cnf(s583,plain,
    ~ spl0_54,
    inference(rat,[],[s533,s579]) ).

cnf(s584,plain,
    spl0_31,
    inference(rat,[],[s58,s563,s577,s583]) ).

cnf(s588,plain,
    ~ spl0_36,
    inference(rat,[],[s536,s584]) ).

cnf(s589,plain,
    spl0_15,
    inference(rat,[],[s26,s563,s588]) ).

cnf(s590,plain,
    spl0_32,
    inference(rat,[],[s568,s588]) ).

cnf(s591,plain,
    ~ spl0_82,
    inference(rat,[],[s99,s589]) ).

cnf(s592,plain,
    spl0_81,
    inference(rat,[],[s98,s589]) ).

cnf(s594,plain,
    ~ spl0_106,
    inference(rat,[],[s131,s590]) ).

cnf(s595,plain,
    spl0_105,
    inference(rat,[],[s130,s590]) ).

cnf(s596,plain,
    ~ spl0_104,
    inference(rat,[],[s129,s590]) ).

cnf(s597,plain,
    ~ spl0_59,
    inference(rat,[],[s553,s590]) ).

cnf(s599,plain,
    spl0_6,
    inference(rat,[],[s67,s578,s563,s597]) ).

cnf(s600,plain,
    spl0_139,
    inference(rat,[],[s175,s599]) ).

cnf(s601,plain,
    ~ spl0_138,
    inference(rat,[],[s174,s599]) ).

cnf(s602,plain,
    ~ spl0_137,
    inference(rat,[],[s173,s599]) ).

cnf(s603,plain,
    ~ spl0_24,
    inference(rat,[],[s307,s600,s601,s602]) ).

cnf(s604,plain,
    spl0_35,
    inference(rat,[],[s24,s578,s563,s603]) ).

cnf(s605,plain,
    spl0_25,
    inference(rat,[],[s532,s563,s604]) ).

cnf(s606,plain,
    spl0_48,
    inference(rat,[],[s550,s604]) ).

cnf(s608,plain,
    ~ spl0_168,
    inference(rat,[],[s342,s596,s594,s604]) ).

cnf(s611,plain,
    ~ spl0_50,
    inference(rat,[],[s391,s595,s594,s608]) ).

cnf(s613,plain,
    spl0_49,
    inference(rat,[],[s47,s563,s606,s611]) ).

cnf(s615,plain,
    ~ spl0_145,
    inference(rat,[],[s183,s613]) ).

cnf(s616,plain,
    ~ spl0_144,
    inference(rat,[],[s182,s613]) ).

cnf(s617,plain,
    ~ spl0_143,
    inference(rat,[],[s181,s613]) ).

cnf(s621,plain,
    ~ spl0_38,
    inference(rat,[],[s399,s615,s616,s617]) ).

cnf(s622,plain,
    ~ spl0_171,
    inference(rat,[],[s230,s604,s616,s617]) ).

cnf(s624,plain,
    spl0_30,
    inference(rat,[],[s69,s563,s597,s621]) ).

cnf(s626,plain,
    ~ spl0_26,
    inference(rat,[],[s235,s615,s616,s622]) ).

cnf(s629,plain,
    ~ spl0_153,
    inference(rat,[],[s290,s591,s592,s624]) ).

cnf(s631,plain,
    spl0_22,
    inference(rat,[],[s15,s605,s563,s626]) ).

cnf(s636,plain,
    $false,
    inference(rat,[],[s450,s591,s592,s631,s629]) ).

fof(f2520,plain,
    $false,
    inference(avatar_sat_refutation,[],[s636]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN475+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18  % Computer : n026.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 16:13:42 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21  Running first-order model finding
% 0.06/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.29  % (3985069)Will run a generic schedule for satisfiability detection.
% 0.18/0.29  % (3985074)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1827205243_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29  % (3985075)% WARNING: option uhcvi not known.
% 0.18/0.29  % Detected minimum model sizes of [1]
% 0.18/0.29  % Detected maximum model sizes of [30]
% 0.18/0.29  % TRYING [1]
% 0.18/0.29  % TRYING [2]
% 0.18/0.29  % TRYING [3]
% 0.18/0.29  % (3985075)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2484992390:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29  % (3985076)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2164872036:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29  % (3985077)dis+10_1_sil=32000:sp=arity:random_seed=1384885550:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29  % (3985079)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=486813599:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29  % (3985078)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2523102152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29  % (3985080)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1708277793:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29  % TRYING [4]
% 0.18/0.29  % TRYING [5]
% 0.18/0.29  % (3985080) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3985069-3985080"...
% 0.18/0.29  % (3985080)...printing done.
% 0.18/0.29  % (3985080)Refutation found. Thanks to Tanya!
% 0.18/0.29  % SZS status Theorem for theBenchmark
% 0.18/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.31  % (3985080)------------------------------
% 0.18/0.31  % (3985080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31  % (3985080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31  % (3985080)CaDiCaL version: 2.1.3
% 0.18/0.31  % (3985080)Termination reason: Refutation
% 0.18/0.31  % (3985080)Time elapsed: 0.035 s
% 0.18/0.31  % (3985080)Peak memory usage: 14 MB
% 0.18/0.31  % (3985080)Instructions burned: 58 (million)
% 0.18/0.31  % (3985069)Success in time 0.073 s
% 0.18/0.31  % Vampire exiting
%------------------------------------------------------------------------------