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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN499+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 02:15:05 PM UTC 2026

% Result   : Theorem 0.20s 0.30s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  139
% Syntax   : Number of formulae    : 1004 (  20 unt; 138 def)
%            Number of atoms       : 7439 (   0 equ)
%            Maximal formula atoms :  775 (   7 avg)
%            Number of connectives : 9894 (3459   ~;4901   |;1015   &)
%                                         ( 138 <=>; 381  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  175 ( 174 usr; 171 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  922 (   0 sgn 922   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a123)
          & ~ c0_1(a123)
          & ~ c1_1(a123) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a124)
          & c2_1(a124)
          & ~ c3_1(a124) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a125)
          & c2_1(a125)
          & ~ c0_1(a125) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a127)
          & ~ c2_1(a127)
          & ~ c3_1(a127) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a128)
          & c1_1(a128)
          & ~ c3_1(a128) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a130)
          & ~ c1_1(a130)
          & ~ c3_1(a130) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a131)
          & ~ c1_1(a131)
          & ~ c2_1(a131) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a132)
          & ~ c0_1(a132)
          & ~ c2_1(a132) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a134)
          & ~ c0_1(a134)
          & ~ c3_1(a134) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a138)
          & c1_1(a138)
          & ~ c2_1(a138) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a140)
          & ~ c2_1(a140)
          & ~ c3_1(a140) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c1_1(a141)
          & ~ c2_1(a141)
          & ~ c3_1(a141) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a142)
          & c3_1(a142)
          & ~ c1_1(a142) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a143)
          & c3_1(a143)
          & ~ c1_1(a143) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a147)
          & ~ c1_1(a147)
          & ~ c3_1(a147) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a153)
          & c3_1(a153)
          & ~ c0_1(a153) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a154)
          & c3_1(a154)
          & ~ c0_1(a154) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a155)
          & ~ c0_1(a155)
          & ~ c2_1(a155) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a160)
          & ~ c1_1(a160)
          & ~ c2_1(a160) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a164)
          & c3_1(a164)
          & ~ c2_1(a164) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a168)
          & ~ c0_1(a168)
          & ~ c3_1(a168) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a170)
          & c2_1(a170)
          & ~ c1_1(a170) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a176)
          & ~ c1_1(a176)
          & ~ c2_1(a176) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a179)
          & ~ c1_1(a179)
          & ~ c3_1(a179) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a182)
          & ~ c2_1(a182)
          & ~ c3_1(a182) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a189)
          & ~ c0_1(a189)
          & ~ c1_1(a189) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a225)
          & c2_1(a225)
          & ~ c3_1(a225) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a122)
          & c2_1(a122)
          & c3_1(a122) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a133)
          & c2_1(a133)
          & c3_1(a133) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a136)
          & c1_1(a136)
          & c2_1(a136) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a167)
          & c1_1(a167)
          & c3_1(a167) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | ~ c1_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | ~ c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | ~ c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c3_1(X10)
              | ~ c2_1(X10) ) )
        | hskp27 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | hskp0 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | ~ c0_1(X14)
              | ~ c1_1(X14) ) )
        | hskp1 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c2_1(X15) ) )
        | hskp2
        | hskp1 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c3_1(X17)
              | ~ c1_1(X17) ) )
        | hskp3 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | hskp4 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c0_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c0_1(X24)
              | ~ c2_1(X24) ) )
        | hskp27 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | hskp5 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c2_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c0_1(X34)
              | ~ c3_1(X34) ) )
        | hskp6 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c1_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) )
        | hskp7 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp28
        | hskp8 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | c3_1(X40) ) )
        | hskp29
        | hskp7 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | c3_1(X41) ) )
        | hskp9
        | hskp7 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | c3_1(X42) ) )
        | hskp10
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp12 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp13 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c0_1(X51)
              | ~ c1_1(X51) ) )
        | hskp28 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c2_1(X52)
              | ~ c1_1(X52) ) )
        | hskp28
        | hskp3 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | hskp14 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c2_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp29 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp12 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp14
        | hskp7 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp10
        | hskp15 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp16 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | c3_1(X69)
              | ~ c2_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c1_1(X75)
              | ~ c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c2_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c1_1(X77)
              | ~ c2_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c1_1(X78)
              | ~ c3_1(X78) ) )
        | hskp17
        | hskp0 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp29
        | hskp7 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp0
        | hskp18 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp12 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c2_1(X86)
              | c3_1(X86) ) )
        | hskp2
        | hskp16 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | ~ c0_1(X87) ) )
        | hskp19
        | hskp17 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c1_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c2_1(X91)
              | ~ c3_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp6 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | ~ c2_1(X93) ) )
        | hskp30
        | hskp20 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) )
        | hskp7 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp21
        | hskp6 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp3
        | hskp15 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp0
        | hskp7 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c1_1(X100)
              | ~ c2_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c3_1(X101) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp22
        | hskp7 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp8
        | hskp23 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp9 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c1_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c1_1(X109) ) )
        | hskp15
        | hskp24 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c0_1(X110)
              | ~ c1_1(X110) ) )
        | hskp9
        | hskp22 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | hskp10
        | hskp18 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c3_1(X112) ) )
        | hskp1
        | hskp3 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c3_1(X113) ) )
        | hskp25
        | hskp6 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | ~ c1_1(X114)
              | ~ c3_1(X114) ) )
        | hskp17
        | hskp13 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp17
        | hskp24 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c1_1(X116)
              | ~ c3_1(X116) ) )
        | hskp15
        | hskp13 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c1_1(X117) ) )
        | hskp12
        | hskp11 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c1_1(X118) ) )
        | hskp7
        | hskp24 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c1_1(X119)
              | ~ c2_1(X119) ) )
        | hskp27
        | hskp19 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp22 )
      & ( ! [X121] :
            ( ndr1_0
           => ( c3_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | hskp14
        | hskp23 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c1_1(X122)
              | ~ c2_1(X122) ) )
        | hskp14
        | hskp25 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c3_1(X123) ) )
        | hskp22
        | hskp10 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c1_1(X124)
              | ~ c3_1(X124) ) )
        | hskp2
        | hskp19 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp9
        | hskp8 )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) )
        | hskp3
        | hskp13 )
      & ( hskp30
        | hskp9
        | hskp6 )
      & ( hskp27
        | hskp3
        | hskp15 )
      & ( hskp21
        | hskp20
        | hskp6 )
      & ( hskp26
        | hskp20
        | hskp15 )
      & ( hskp12
        | hskp19
        | hskp13 )
      & ( hskp2
        | hskp19
        | hskp8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a123)
            & ~ c0_1(a123)
            & ~ c1_1(a123) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a124)
            & c2_1(a124)
            & ~ c3_1(a124) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a125)
            & c2_1(a125)
            & ~ c0_1(a125) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a127)
            & ~ c2_1(a127)
            & ~ c3_1(a127) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a128)
            & c1_1(a128)
            & ~ c3_1(a128) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a130)
            & ~ c1_1(a130)
            & ~ c3_1(a130) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a131)
            & ~ c1_1(a131)
            & ~ c2_1(a131) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a132)
            & ~ c0_1(a132)
            & ~ c2_1(a132) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a134)
            & ~ c0_1(a134)
            & ~ c3_1(a134) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a138)
            & c1_1(a138)
            & ~ c2_1(a138) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a140)
            & ~ c2_1(a140)
            & ~ c3_1(a140) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c1_1(a141)
            & ~ c2_1(a141)
            & ~ c3_1(a141) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a142)
            & c3_1(a142)
            & ~ c1_1(a142) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a143)
            & c3_1(a143)
            & ~ c1_1(a143) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a147)
            & ~ c1_1(a147)
            & ~ c3_1(a147) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a153)
            & c3_1(a153)
            & ~ c0_1(a153) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a154)
            & c3_1(a154)
            & ~ c0_1(a154) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a155)
            & ~ c0_1(a155)
            & ~ c2_1(a155) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a160)
            & ~ c1_1(a160)
            & ~ c2_1(a160) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a164)
            & c3_1(a164)
            & ~ c2_1(a164) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a168)
            & ~ c0_1(a168)
            & ~ c3_1(a168) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a170)
            & c2_1(a170)
            & ~ c1_1(a170) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a176)
            & ~ c1_1(a176)
            & ~ c2_1(a176) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a179)
            & ~ c1_1(a179)
            & ~ c3_1(a179) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a182)
            & ~ c2_1(a182)
            & ~ c3_1(a182) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a189)
            & ~ c0_1(a189)
            & ~ c1_1(a189) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a225)
            & c2_1(a225)
            & ~ c3_1(a225) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a122)
            & c2_1(a122)
            & c3_1(a122) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a133)
            & c2_1(a133)
            & c3_1(a133) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a136)
            & c1_1(a136)
            & c2_1(a136) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a167)
            & c1_1(a167)
            & c3_1(a167) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c3_1(X10)
                | ~ c2_1(X10) ) )
          | hskp27 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | hskp0 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | ~ c0_1(X14)
                | ~ c1_1(X14) ) )
          | hskp1 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) )
          | hskp2
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | ~ c1_1(X17) ) )
          | hskp3 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | hskp4 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c0_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c0_1(X24)
                | ~ c2_1(X24) ) )
          | hskp27 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | hskp5 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) )
          | hskp6 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c1_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | hskp7 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp28
          | hskp8 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | c3_1(X40) ) )
          | hskp29
          | hskp7 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | hskp9
          | hskp7 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | c3_1(X42) ) )
          | hskp10
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp12 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp13 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c0_1(X51)
                | ~ c1_1(X51) ) )
          | hskp28 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c1_1(X52) ) )
          | hskp28
          | hskp3 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | hskp14 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c2_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp29 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp12 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp14
          | hskp7 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp10
          | hskp15 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp16 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c3_1(X69)
                | ~ c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c1_1(X75)
                | ~ c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c1_1(X77)
                | ~ c2_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) )
          | hskp17
          | hskp0 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp29
          | hskp7 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp0
          | hskp18 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp12 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | c3_1(X86) ) )
          | hskp2
          | hskp16 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | ~ c0_1(X87) ) )
          | hskp19
          | hskp17 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c2_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp6 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | ~ c2_1(X93) ) )
          | hskp30
          | hskp20 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp7 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp21
          | hskp6 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp3
          | hskp15 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp0
          | hskp7 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c1_1(X100)
                | ~ c2_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp22
          | hskp7 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp8
          | hskp23 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp9 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c1_1(X109) ) )
          | hskp15
          | hskp24 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) )
          | hskp9
          | hskp22 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | hskp10
          | hskp18 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c3_1(X112) ) )
          | hskp1
          | hskp3 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c3_1(X113) ) )
          | hskp25
          | hskp6 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c1_1(X114)
                | ~ c3_1(X114) ) )
          | hskp17
          | hskp13 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp17
          | hskp24 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp15
          | hskp13 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c1_1(X117) ) )
          | hskp12
          | hskp11 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) )
          | hskp7
          | hskp24 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c1_1(X119)
                | ~ c2_1(X119) ) )
          | hskp27
          | hskp19 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp22 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | hskp14
          | hskp23 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) )
          | hskp14
          | hskp25 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c3_1(X123) ) )
          | hskp22
          | hskp10 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c1_1(X124)
                | ~ c3_1(X124) ) )
          | hskp2
          | hskp19 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp9
          | hskp8 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp3
          | hskp13 )
        & ( hskp30
          | hskp9
          | hskp6 )
        & ( hskp27
          | hskp3
          | hskp15 )
        & ( hskp21
          | hskp20
          | hskp6 )
        & ( hskp26
          | hskp20
          | hskp15 )
        & ( hskp12
          | hskp19
          | hskp13 )
        & ( hskp2
          | hskp19
          | hskp8 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c1_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c2_1(X5)
            | ~ c3_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c3_1(X10)
            | ~ c2_1(X10) ) )
      | hskp27 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | hskp0 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | ~ c0_1(X14)
            | ~ c1_1(X14) ) )
      | hskp1 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) )
      | hskp2
      | hskp1 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | ~ c1_1(X17) ) )
      | hskp3 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | hskp4 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c0_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | ~ c0_1(X24)
            | ~ c2_1(X24) ) )
      | hskp27 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | ~ c1_1(X26)
            | ~ c2_1(X26) ) )
      | hskp5 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c2_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) )
      | hskp6 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c1_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) )
      | hskp7 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c1_1(X37)
            | ~ c3_1(X37) ) )
      | hskp28
      | hskp8 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | hskp8 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | c3_1(X40) ) )
      | hskp29
      | hskp7 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | c3_1(X41) ) )
      | hskp9
      | hskp7 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | c3_1(X42) ) )
      | hskp10
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c2_1(X45)
            | ~ c0_1(X45)
            | ~ c3_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp12 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c0_1(X49) ) )
      | hskp13 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c0_1(X51)
            | ~ c1_1(X51) ) )
      | hskp28 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c2_1(X52)
            | ~ c1_1(X52) ) )
      | hskp28
      | hskp3 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | hskp14 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c2_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) )
      | hskp29 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp12 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp14
      | hskp7 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp10
      | hskp15 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c1_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | c3_1(X67)
            | ~ c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp16 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c3_1(X69)
            | ~ c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | ~ c1_1(X71)
            | ~ c2_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | c3_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c0_1(X75)
            | ~ c1_1(X75)
            | ~ c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c1_1(X77)
            | ~ c2_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c1_1(X78)
            | ~ c3_1(X78) ) )
      | hskp17
      | hskp0 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp29
      | hskp7 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp0
      | hskp18 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | hskp12 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c2_1(X86)
            | c3_1(X86) ) )
      | hskp2
      | hskp16 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | ~ c0_1(X87) ) )
      | hskp19
      | hskp17 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c2_1(X91)
            | ~ c3_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp6 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c3_1(X93)
            | ~ c2_1(X93) ) )
      | hskp30
      | hskp20 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp7 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | hskp21
      | hskp6 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | hskp3
      | hskp15 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp0
      | hskp7 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c1_1(X100)
            | ~ c2_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c3_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp22
      | hskp7 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp8
      | hskp23 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | hskp9 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c1_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | ~ c2_1(X108)
            | ~ c3_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c1_1(X109) ) )
      | hskp15
      | hskp24 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c0_1(X110)
            | ~ c1_1(X110) ) )
      | hskp9
      | hskp22 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | hskp10
      | hskp18 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c0_1(X112)
            | ~ c3_1(X112) ) )
      | hskp1
      | hskp3 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c3_1(X113) ) )
      | hskp25
      | hskp6 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | ~ c1_1(X114)
            | ~ c3_1(X114) ) )
      | hskp17
      | hskp13 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) )
      | hskp17
      | hskp24 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c1_1(X116)
            | ~ c3_1(X116) ) )
      | hskp15
      | hskp13 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c1_1(X117) ) )
      | hskp12
      | hskp11 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c0_1(X118)
            | ~ c1_1(X118) ) )
      | hskp7
      | hskp24 )
    & ( ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | ~ c1_1(X119)
            | ~ c2_1(X119) ) )
      | hskp27
      | hskp19 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp22 )
    & ( ! [X121] :
          ( ndr1_0
         => ( c3_1(X121)
            | ~ c1_1(X121)
            | ~ c2_1(X121) ) )
      | hskp14
      | hskp23 )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c1_1(X122)
            | ~ c2_1(X122) ) )
      | hskp14
      | hskp25 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c1_1(X123)
            | ~ c3_1(X123) ) )
      | hskp22
      | hskp10 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | ~ c1_1(X124)
            | ~ c3_1(X124) ) )
      | hskp2
      | hskp19 )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | ~ c3_1(X125) ) )
      | hskp9
      | hskp8 )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c1_1(X126)
            | ~ c2_1(X126)
            | ~ c3_1(X126) ) )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c3_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c0_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp14
      | hskp7 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp10
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c0_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp17
      | hskp0 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp2
      | hskp16 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp21
      | hskp6 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp0
      | hskp7 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp22
      | hskp7 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp9
      | hskp22 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp10
      | hskp18 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp25
      | hskp6 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp17
      | hskp13 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0 )
      | hskp7
      | hskp24 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X121] :
          ( c3_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp14
      | hskp25 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp22
      | hskp10 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp2
      | hskp19 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp9
      | hskp8 )
    & ( ! [X126] :
          ( ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c3_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c0_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp14
      | hskp7 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp10
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c0_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp17
      | hskp0 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp2
      | hskp16 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp21
      | hskp6 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp0
      | hskp7 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp22
      | hskp7 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp9
      | hskp22 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp10
      | hskp18 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp25
      | hskp6 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp17
      | hskp13 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0 )
      | hskp7
      | hskp24 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X121] :
          ( c3_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp14
      | hskp25 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp22
      | hskp10 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp2
      | hskp19 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp9
      | hskp8 )
    & ( ! [X126] :
          ( ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp2
    | hskp19
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp12
    | hskp19
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp27
    | hskp3
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp30
    | hskp9
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X126] :
      ( ~ c1_1(X126)
      | ~ c2_1(X126)
      | ~ c3_1(X126)
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X125] :
      ( ~ c1_1(X125)
      | ~ c2_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | hskp9
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X124] :
      ( ~ c0_1(X124)
      | ~ c1_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | hskp2
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X123] :
      ( ~ c0_1(X123)
      | ~ c1_1(X123)
      | ~ c3_1(X123)
      | ~ ndr1_0
      | hskp22
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X119] :
      ( c3_1(X119)
      | ~ c1_1(X119)
      | ~ c2_1(X119)
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X118] :
      ( c3_1(X118)
      | ~ c0_1(X118)
      | ~ c1_1(X118)
      | ~ ndr1_0
      | hskp7
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X116] :
      ( c2_1(X116)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X115] :
      ( c2_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | hskp17
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X114] :
      ( c2_1(X114)
      | ~ c1_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp17
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X112] :
      ( c2_1(X112)
      | ~ c0_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp1
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X111] :
      ( c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | hskp10
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X109] :
      ( c2_1(X109)
      | c3_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X108,X106,X107] :
      ( c2_1(X106)
      | c3_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | c3_1(X107)
      | ~ c1_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | ~ c1_1(X108)
      | ~ c2_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X103] :
      ( c1_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X102] :
      ( c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp22
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X101,X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c1_1(X100)
      | ~ c2_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp3
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X93] :
      ( c1_1(X93)
      | c3_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X87] :
      ( c1_1(X87)
      | c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | hskp19
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X86] :
      ( c1_1(X86)
      | c2_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | hskp2
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X83] :
      ( c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X82] :
      ( c0_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp29
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X80,X81,X79] :
      ( c0_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X76,X77,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c1_1(X77)
      | ~ c2_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X72,X73,X74] :
      ( c0_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X70,X71,X69] :
      ( c0_1(X69)
      | c3_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X65,X66,X64] :
      ( c0_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c1_1(X65)
      | ~ c2_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X52] :
      ( c0_1(X52)
      | c2_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | hskp28
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c2_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X40] :
      ( c0_1(X40)
      | c2_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | hskp29
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X37] :
      ( c0_1(X37)
      | c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp28
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c1_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c1_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | c3_1(X24)
      | ~ c0_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp30
    | c3_1(a167) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c1_1(a167) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a167) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c2_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c1_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c0_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a133) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c1_1(a133) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp27
    | c3_1(a122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp27
    | c2_1(a122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp27
    | c0_1(a122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c3_1(a182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | ~ c2_1(a182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | ~ c0_1(a182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c3_1(a179) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | ~ c1_1(a179) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c2_1(a179) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c2_1(a176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | c0_1(a176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c3_1(a168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | ~ c0_1(a168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c1_1(a168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c2_1(a164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c3_1(a164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c1_1(a164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp18
    | ~ c2_1(a160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp18
    | ~ c1_1(a160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp18
    | c3_1(a160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c2_1(a155) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | ~ c0_1(a155) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c1_1(a155) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c0_1(a154) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c1_1(a154) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c0_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | c3_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp15
    | c2_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c1_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c3_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c2_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c1_1(a142) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | c3_1(a142) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c0_1(a142) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c3_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c2_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c0_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c2_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | c1_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c3_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | ~ c0_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c2_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c2_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | ~ c0_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c3_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c2_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | ~ c1_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c3_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | ~ c1_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | ~ c0_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c3_1(a127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | ~ c2_1(a127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | c1_1(a127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c0_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | c2_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | c1_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | c2_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | c1_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c1_1(a123) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp0
    | ~ c0_1(a123) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp0
    | c2_1(a123) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( hskp0
    | ~ c2_1(a123) ),
    inference(consistent_polarity_flipping,[],[f208]) ).

fof(f212,plain,
    ( hskp0
    | ~ c0_1(a123) ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f213,plain,
    ( hskp0
    | ~ c1_1(a123) ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f215,plain,
    ( hskp1
    | c1_1(a124) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f216,plain,
    ( hskp1
    | ~ c2_1(a124) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f217,plain,
    ( hskp1
    | ~ c3_1(a124) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f218,plain,
    ( ~ hskp2
    | ~ c2_1(a125) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f220,plain,
    ( hskp3
    | c1_1(a127) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f221,plain,
    ( hskp3
    | c2_1(a127) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f222,plain,
    ( hskp3
    | ~ c3_1(a127) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f224,plain,
    ( hskp5
    | ~ c0_1(a130) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f225,plain,
    ( hskp5
    | ~ c1_1(a130) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f226,plain,
    ( hskp5
    | ~ c3_1(a130) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f229,plain,
    ( hskp6
    | ~ c1_1(a131) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f230,plain,
    ( hskp6
    | c2_1(a131) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f231,plain,
    ( ~ hskp7
    | c2_1(a132) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f232,plain,
    ( ~ hskp8
    | ~ c2_1(a134) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f234,plain,
    ( hskp9
    | c0_1(a138) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f235,plain,
    ( hskp9
    | c1_1(a138) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f236,plain,
    ( hskp9
    | c2_1(a138) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f237,plain,
    ( ~ hskp10
    | c2_1(a140) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f240,plain,
    ( hskp13
    | ~ c2_1(a143) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f241,plain,
    ( hskp13
    | c3_1(a143) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f242,plain,
    ( hskp13
    | ~ c1_1(a143) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f244,plain,
    ( hskp15
    | ~ c2_1(a153) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f245,plain,
    ( hskp15
    | c3_1(a153) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f246,plain,
    ( hskp15
    | ~ c0_1(a153) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f248,plain,
    ( hskp16
    | c1_1(a154) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f250,plain,
    ( hskp16
    | ~ c0_1(a154) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f252,plain,
    ( hskp17
    | c1_1(a155) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f253,plain,
    ( hskp17
    | ~ c0_1(a155) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f254,plain,
    ( hskp17
    | c2_1(a155) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f255,plain,
    ( ~ hskp18
    | c2_1(a160) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f256,plain,
    ( hskp19
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f257,plain,
    ( hskp19
    | c1_1(a164) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f258,plain,
    ( hskp19
    | c3_1(a164) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f259,plain,
    ( hskp19
    | c2_1(a164) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f261,plain,
    ( hskp20
    | c1_1(a168) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f262,plain,
    ( hskp20
    | ~ c0_1(a168) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f263,plain,
    ( hskp20
    | ~ c3_1(a168) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f268,plain,
    ( ~ hskp22
    | c2_1(a176) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f269,plain,
    ( ~ hskp23
    | ~ c2_1(a179) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f271,plain,
    ( hskp24
    | ~ c0_1(a182) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f272,plain,
    ( hskp24
    | c2_1(a182) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f273,plain,
    ( hskp24
    | ~ c3_1(a182) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f276,plain,
    ( hskp27
    | c0_1(a122) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f277,plain,
    ( hskp27
    | ~ c2_1(a122) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f278,plain,
    ( hskp27
    | c3_1(a122) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f280,plain,
    ( hskp28
    | c1_1(a133) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f281,plain,
    ( hskp28
    | ~ c2_1(a133) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f283,plain,
    ( ~ hskp29
    | ~ c2_1(a136) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f294,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | c2_1(X23)
      | ~ ndr1_0
      | c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f295,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f296,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c3_1(X29)
      | ~ c1_1(X29)
      | c2_1(X29)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f297,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c1_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f298,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f299,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c1_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f300,plain,
    ! [X37] :
      ( c0_1(X37)
      | c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | ~ hskp28
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f301,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f302,plain,
    ! [X40] :
      ( c0_1(X40)
      | ~ c2_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | hskp29
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f305,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | ~ c2_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f306,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f307,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f309,plain,
    ! [X52] :
      ( c0_1(X52)
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | ~ hskp28
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f311,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X56)
      | ~ c1_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | c1_1(X57)
      | ~ c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f312,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp29 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f313,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c0_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f316,plain,
    ! [X65,X66,X64] :
      ( c0_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c1_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f318,plain,
    ! [X70,X71,X69] :
      ( c0_1(X69)
      | c3_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | c2_1(X71)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f319,plain,
    ! [X72,X73,X74] :
      ( c0_1(X72)
      | c3_1(X72)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f320,plain,
    ! [X76,X77,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c1_1(X77)
      | c2_1(X77)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f322,plain,
    ! [X80,X81,X79] :
      ( c0_1(X79)
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | ~ c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f323,plain,
    ! [X82] :
      ( c0_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp29
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f324,plain,
    ! [X83] :
      ( c0_1(X83)
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ hskp0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f325,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | ~ c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f326,plain,
    ! [X86] :
      ( c1_1(X86)
      | ~ c2_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | hskp2
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f327,plain,
    ! [X87] :
      ( c1_1(X87)
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ hskp19
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f328,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ c2_1(X89)
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f330,plain,
    ! [X93] :
      ( c1_1(X93)
      | c3_1(X93)
      | c2_1(X93)
      | ~ ndr1_0
      | hskp30
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f331,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f333,plain,
    ! [X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | ~ hskp3
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f335,plain,
    ! [X101,X99,X100] :
      ( c1_1(X99)
      | c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c1_1(X100)
      | c2_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f336,plain,
    ! [X102] :
      ( c1_1(X102)
      | c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp22
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f337,plain,
    ! [X103] :
      ( c1_1(X103)
      | c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f339,plain,
    ! [X108,X106,X107] :
      ( ~ c2_1(X106)
      | c3_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | c3_1(X107)
      | ~ c1_1(X107)
      | c2_1(X107)
      | ~ ndr1_0
      | ~ c1_1(X108)
      | c2_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f340,plain,
    ! [X109] :
      ( ~ c2_1(X109)
      | c3_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | ~ hskp15
      | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f342,plain,
    ! [X111] :
      ( ~ c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | hskp10
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f343,plain,
    ! [X112] :
      ( ~ c2_1(X112)
      | ~ c0_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | ~ hskp1
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f345,plain,
    ! [X114] :
      ( ~ c2_1(X114)
      | ~ c1_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | ~ hskp17
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f346,plain,
    ! [X115] :
      ( ~ c2_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | ~ hskp17
      | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f347,plain,
    ! [X116] :
      ( ~ c2_1(X116)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | ~ hskp15
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f348,plain,
    ! [X118] :
      ( c3_1(X118)
      | ~ c0_1(X118)
      | ~ c1_1(X118)
      | ~ ndr1_0
      | hskp7
      | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f349,plain,
    ! [X119] :
      ( c3_1(X119)
      | ~ c1_1(X119)
      | c2_1(X119)
      | ~ ndr1_0
      | ~ hskp27
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f350,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | c2_1(X120)
      | ~ ndr1_0
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f353,plain,
    ! [X124] :
      ( ~ c0_1(X124)
      | ~ c1_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | hskp2
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f354,plain,
    ! [X125] :
      ( ~ c1_1(X125)
      | c2_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | ~ hskp9
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f355,plain,
    ! [X126] :
      ( ~ c1_1(X126)
      | c2_1(X126)
      | ~ c3_1(X126)
      | ~ ndr1_0
      | ~ hskp3
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f356,plain,
    ( hskp30
    | ~ hskp9
    | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f357,plain,
    ( ~ hskp27
    | ~ hskp3
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f360,plain,
    ( hskp12
    | ~ hskp19
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f361,plain,
    ( hskp2
    | ~ hskp19
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f362,plain,
    ! [X108,X106,X107] :
      ( ~ c2_1(X106)
      | c3_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | c3_1(X107)
      | ~ c1_1(X107)
      | c2_1(X107)
      | ~ c1_1(X108)
      | c2_1(X108)
      | ~ c3_1(X108) ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f364,plain,
    ! [X101,X99,X100] :
      ( c1_1(X99)
      | c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c1_1(X100)
      | c2_1(X100)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101) ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f365,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f367,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ c2_1(X89)
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f368,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | ~ c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f369,plain,
    ! [X80,X81,X79] :
      ( c0_1(X79)
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | ~ c2_1(X80)
      | ~ c0_1(X80)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81) ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f370,plain,
    ! [X76,X77,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | c2_1(X76)
      | c3_1(X77)
      | ~ c1_1(X77)
      | c2_1(X77) ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f371,plain,
    ! [X72,X73,X74] :
      ( c0_1(X72)
      | c3_1(X72)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74) ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f372,plain,
    ! [X70,X71,X69] :
      ( c0_1(X69)
      | c3_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | c2_1(X71) ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f374,plain,
    ! [X65,X66,X64] :
      ( c0_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c1_1(X65)
      | c2_1(X65)
      | ~ c0_1(X66)
      | c2_1(X66)
      | ~ c3_1(X66) ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f375,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c0_1(X61)
      | c2_1(X61)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f313]) ).

fof(f376,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f377,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X56)
      | ~ c1_1(X56)
      | c2_1(X56)
      | c1_1(X57)
      | ~ c2_1(X57)
      | ~ c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f380,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | ~ hskp13 ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f381,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f382,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ c2_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f383,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f384,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c1_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f385,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | ~ hskp6 ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f386,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | c1_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f387,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | c3_1(X29)
      | ~ c1_1(X29)
      | c2_1(X29) ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f388,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f389,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | c2_1(X23)
      | ~ ndr1_0
      | c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f400,definition,
    ( spl0_1
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f404,definition,
    ( spl0_2
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f408,definition,
    ( spl0_3
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f411,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f361,f408,f404,f400]) ).

fof(f413,definition,
    ( spl0_4
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f417,definition,
    ( spl0_5
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f420,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f360,f417,f404,f413]) ).

fof(f422,definition,
    ( spl0_6
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f426,definition,
    ( spl0_7
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f435,definition,
    ( spl0_9
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f444,definition,
    ( spl0_11
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_12
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f451,plain,
    ( ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f357,f448,f444,f422]) ).

fof(f453,definition,
    ( spl0_13
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f457,definition,
    ( spl0_14
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f460,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f356,f457,f453,f435]) ).

fof(f462,definition,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f466,definition,
    ( spl0_16
  <=> ! [X126] :
        ( ~ c1_1(X126)
        | ~ c3_1(X126)
        | c2_1(X126) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X126] :
        ( ~ c3_1(X126)
        | ~ c1_1(X126)
        | c2_1(X126) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f355,f466,f462,f444,f413]) ).

fof(f469,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f354,f466,f462,f453,f400]) ).

fof(f471,definition,
    ( spl0_17
  <=> ! [X124] :
        ( ~ c0_1(X124)
        | ~ c3_1(X124)
        | ~ c1_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f472,plain,
    ( ! [X124] :
        ( ~ c3_1(X124)
        | ~ c0_1(X124)
        | ~ c1_1(X124) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f473,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f353,f471,f462,f408,f404]) ).

fof(f475,definition,
    ( spl0_18
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_19
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f482,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f15,f471,f462,f479,f475]) ).

fof(f492,definition,
    ( spl0_22
  <=> ! [X122] :
        ( ~ c0_1(X122)
        | c2_1(X122)
        | ~ c1_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f493,plain,
    ( ! [X122] :
        ( ~ c1_1(X122)
        | c2_1(X122)
        | ~ c0_1(X122) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f496,definition,
    ( spl0_23
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_24
  <=> ! [X121] :
        ( c3_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X121] :
        ( c3_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( spl0_19
    | ~ spl0_15
    | spl0_24 ),
    inference(avatar_split_clause,[],[f350,f500,f462,f479]) ).

fof(f504,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_15
    | spl0_24 ),
    inference(avatar_split_clause,[],[f349,f500,f462,f448,f404]) ).

fof(f506,definition,
    ( spl0_25
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f510,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f514,definition,
    ( spl0_27
  <=> ! [X118] :
        ( c3_1(X118)
        | ~ c1_1(X118)
        | ~ c0_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X118] :
        ( c3_1(X118)
        | ~ c1_1(X118)
        | ~ c0_1(X118) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f516,plain,
    ( ~ spl0_25
    | spl0_26
    | ~ spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f348,f514,f462,f510,f506]) ).

fof(f523,definition,
    ( spl0_29
  <=> ! [X116] :
        ( ~ c2_1(X116)
        | ~ c3_1(X116)
        | ~ c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f524,plain,
    ( ! [X116] :
        ( ~ c3_1(X116)
        | ~ c2_1(X116)
        | ~ c1_1(X116) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f525,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f347,f523,f462,f422,f413]) ).

fof(f527,definition,
    ( spl0_30
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ spl0_25
    | ~ spl0_30
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f346,f523,f462,f527,f506]) ).

fof(f531,plain,
    ( ~ spl0_4
    | ~ spl0_30
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f345,f523,f462,f527,f413]) ).

fof(f533,definition,
    ( spl0_31
  <=> ! [X113] :
        ( ~ c2_1(X113)
        | ~ c3_1(X113)
        | ~ c0_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X113] :
        ( ~ c3_1(X113)
        | ~ c2_1(X113)
        | ~ c0_1(X113) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f537,definition,
    ( spl0_32
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ spl0_11
    | ~ spl0_32
    | ~ spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f343,f533,f462,f537,f444]) ).

fof(f542,definition,
    ( spl0_33
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f546,definition,
    ( spl0_34
  <=> ! [X111] :
        ( ~ c2_1(X111)
        | ~ c1_1(X111)
        | ~ c0_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | ~ c2_1(X111)
        | ~ c0_1(X111) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f342,f546,f462,f475,f542]) ).

fof(f551,definition,
    ( spl0_35
  <=> ! [X109] :
        ( ~ c2_1(X109)
        | ~ c1_1(X109)
        | c3_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f552,plain,
    ( ! [X109] :
        ( c3_1(X109)
        | ~ c1_1(X109)
        | ~ c2_1(X109) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( ~ spl0_25
    | ~ spl0_6
    | ~ spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f340,f551,f462,f422,f506]) ).

fof(f554,plain,
    ( spl0_16
    | spl0_24
    | ~ spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f362,f551,f462,f500,f466]) ).

fof(f557,definition,
    ( spl0_36
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f558,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | c1_1(X103)
        | c2_1(X103) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( spl0_23
    | spl0_1
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f337,f557,f462,f400,f496]) ).

fof(f560,plain,
    ( spl0_26
    | spl0_19
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f336,f557,f462,f479,f510]) ).

fof(f561,plain,
    ( spl0_17
    | spl0_24
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f364,f557,f462,f500,f471]) ).

fof(f563,definition,
    ( spl0_37
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f567,definition,
    ( spl0_38
  <=> ! [X98] :
        ( c1_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f568,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c1_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,plain,
    ( ~ spl0_6
    | ~ spl0_11
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f333,f567,f462,f444,f422]) ).

fof(f572,plain,
    ( spl0_26
    | spl0_34
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f365,f567,f462,f546,f510]) ).

fof(f574,definition,
    ( spl0_39
  <=> ! [X93] :
        ( c1_1(X93)
        | c2_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f575,plain,
    ( ! [X93] :
        ( c3_1(X93)
        | c2_1(X93)
        | c1_1(X93) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f576,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | spl0_39 ),
    inference(avatar_split_clause,[],[f330,f574,f462,f457,f426]) ).

fof(f578,definition,
    ( spl0_40
  <=> ! [X92] :
        ( ~ c0_1(X92)
        | ~ c3_1(X92)
        | c2_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f579,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | ~ c0_1(X92)
        | c2_1(X92) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,definition,
    ( spl0_41
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | ~ c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | ~ c2_1(X91) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f584,plain,
    ( spl0_31
    | spl0_35
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f367,f581,f462,f551,f533]) ).

fof(f586,definition,
    ( spl0_42
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c0_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f587,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | ~ c0_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f588,plain,
    ( ~ spl0_30
    | ~ spl0_2
    | ~ spl0_15
    | spl0_42 ),
    inference(avatar_split_clause,[],[f327,f586,f462,f404,f527]) ).

fof(f590,definition,
    ( spl0_43
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f594,definition,
    ( spl0_44
  <=> ! [X86] :
        ( c1_1(X86)
        | c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f595,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c1_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f596,plain,
    ( ~ spl0_43
    | spl0_3
    | ~ spl0_15
    | spl0_44 ),
    inference(avatar_split_clause,[],[f326,f594,f462,f408,f590]) ).

fof(f597,plain,
    ( spl0_5
    | spl0_27
    | ~ spl0_15
    | spl0_44 ),
    inference(avatar_split_clause,[],[f368,f594,f462,f514,f417]) ).

fof(f599,definition,
    ( spl0_45
  <=> ! [X83] :
        ( c0_1(X83)
        | ~ c3_1(X83)
        | c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f600,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c0_1(X83)
        | c2_1(X83) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( spl0_33
    | ~ spl0_37
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f324,f599,f462,f563,f542]) ).

fof(f603,definition,
    ( spl0_46
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f606,plain,
    ( spl0_26
    | spl0_46
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f323,f599,f462,f603,f510]) ).

fof(f607,plain,
    ( spl0_17
    | spl0_42
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f369,f599,f462,f586,f471]) ).

fof(f613,definition,
    ( spl0_48
  <=> ! [X75] :
        ( c0_1(X75)
        | c2_1(X75)
        | ~ c1_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f614,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | c2_1(X75)
        | c0_1(X75) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( spl0_24
    | spl0_39
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f370,f613,f462,f574,f500]) ).

fof(f617,definition,
    ( spl0_49
  <=> ! [X72] :
        ( c0_1(X72)
        | c2_1(X72)
        | c3_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f618,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | c2_1(X72)
        | c0_1(X72) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f619,plain,
    ( spl0_29
    | spl0_35
    | ~ spl0_15
    | spl0_49 ),
    inference(avatar_split_clause,[],[f371,f617,f462,f551,f523]) ).

fof(f620,plain,
    ( spl0_22
    | spl0_41
    | ~ spl0_15
    | spl0_49 ),
    inference(avatar_split_clause,[],[f372,f617,f462,f581,f492]) ).

fof(f622,definition,
    ( spl0_50
  <=> ! [X67] :
        ( c0_1(X67)
        | ~ c1_1(X67)
        | c3_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f623,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | ~ c1_1(X67)
        | c0_1(X67) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( spl0_40
    | spl0_24
    | ~ spl0_15
    | spl0_50 ),
    inference(avatar_split_clause,[],[f374,f622,f462,f500,f578]) ).

fof(f627,definition,
    ( spl0_51
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c3_1(X63)
        | ~ c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f628,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f632,definition,
    ( spl0_52
  <=> ! [X61] :
        ( c3_1(X61)
        | c2_1(X61)
        | ~ c0_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f633,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | c2_1(X61)
        | ~ c0_1(X61) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f634,plain,
    ( spl0_5
    | spl0_52
    | ~ spl0_15
    | spl0_51 ),
    inference(avatar_split_clause,[],[f375,f627,f462,f632,f417]) ).

fof(f635,plain,
    ( spl0_46
    | spl0_35
    | ~ spl0_15
    | spl0_51 ),
    inference(avatar_split_clause,[],[f376,f627,f462,f551,f603]) ).

fof(f636,plain,
    ( spl0_42
    | spl0_48
    | ~ spl0_15
    | spl0_51 ),
    inference(avatar_split_clause,[],[f377,f627,f462,f613,f586]) ).

fof(f639,definition,
    ( spl0_53
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f643,definition,
    ( spl0_54
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f644,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | ~ c2_1(X52) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f645,plain,
    ( ~ spl0_11
    | ~ spl0_53
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f309,f643,f462,f639,f444]) ).

fof(f647,plain,
    ( ~ spl0_4
    | spl0_42
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f380,f643,f462,f586,f413]) ).

fof(f648,plain,
    ( spl0_5
    | spl0_51
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f381,f643,f462,f627,f417]) ).

fof(f649,plain,
    ( spl0_31
    | spl0_51
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f382,f643,f462,f627,f533]) ).

fof(f651,definition,
    ( spl0_55
  <=> ! [X42] :
        ( c0_1(X42)
        | c3_1(X42)
        | ~ c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f652,plain,
    ( ! [X42] :
        ( c3_1(X42)
        | c0_1(X42)
        | ~ c2_1(X42) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f655,plain,
    ( spl0_26
    | spl0_46
    | ~ spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f302,f651,f462,f603,f510]) ).

fof(f656,plain,
    ( spl0_1
    | spl0_40
    | ~ spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f383,f651,f462,f578,f400]) ).

fof(f658,definition,
    ( spl0_56
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c3_1(X37)
        | c1_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f659,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c0_1(X37)
        | c1_1(X37) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f660,plain,
    ( spl0_1
    | ~ spl0_53
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f300,f658,f462,f639,f400]) ).

fof(f661,plain,
    ( spl0_26
    | spl0_34
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f384,f658,f462,f546,f510]) ).

fof(f662,plain,
    ( ~ spl0_9
    | spl0_38
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f385,f658,f462,f567,f435]) ).

fof(f663,plain,
    ( spl0_36
    | spl0_41
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f386,f658,f462,f581,f557]) ).

fof(f664,plain,
    ( spl0_24
    | spl0_54
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f387,f658,f462,f643,f500]) ).

fof(f666,definition,
    ( spl0_57
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f670,definition,
    ( spl0_58
  <=> ! [X25] :
        ( c0_1(X25)
        | c2_1(X25)
        | c1_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f671,plain,
    ( ! [X25] :
        ( c1_1(X25)
        | c2_1(X25)
        | c0_1(X25) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f672,plain,
    ( ~ spl0_57
    | spl0_22
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f388,f670,f462,f492,f666]) ).

fof(f673,plain,
    ( ~ spl0_12
    | spl0_52
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f389,f670,f462,f632,f448]) ).

fof(f701,definition,
    ( spl0_64
  <=> c3_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f703,plain,
    ( c3_1(a167)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( spl0_64
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f86,f457,f701]) ).

fof(f706,definition,
    ( spl0_65
  <=> c1_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f709,plain,
    ( spl0_65
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f87,f457,f706]) ).

fof(f711,definition,
    ( spl0_66
  <=> c0_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_66
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f88,f457,f711]) ).

fof(f717,definition,
    ( spl0_67
  <=> c2_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f720,plain,
    ( ~ spl0_67
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f283,f603,f717]) ).

fof(f722,definition,
    ( spl0_68
  <=> c1_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f724,plain,
    ( c1_1(a136)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( spl0_68
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f91,f603,f722]) ).

fof(f727,definition,
    ( spl0_69
  <=> c0_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_69
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f92,f603,f727]) ).

fof(f738,definition,
    ( spl0_71
  <=> c2_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_71
    | spl0_53 ),
    inference(avatar_split_clause,[],[f281,f639,f738]) ).

fof(f743,definition,
    ( spl0_72
  <=> c1_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f745,plain,
    ( c1_1(a133)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( spl0_72
    | spl0_53 ),
    inference(avatar_split_clause,[],[f280,f639,f743]) ).

fof(f749,definition,
    ( spl0_73
  <=> c3_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f751,plain,
    ( c3_1(a122)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( spl0_73
    | spl0_12 ),
    inference(avatar_split_clause,[],[f278,f448,f749]) ).

fof(f754,definition,
    ( spl0_74
  <=> c2_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ spl0_74
    | spl0_12 ),
    inference(avatar_split_clause,[],[f277,f448,f754]) ).

fof(f759,definition,
    ( spl0_75
  <=> c0_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f762,plain,
    ( spl0_75
    | spl0_12 ),
    inference(avatar_split_clause,[],[f276,f448,f759]) ).

fof(f797,definition,
    ( spl0_82
  <=> c3_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ c3_1(a182)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( ~ spl0_82
    | spl0_25 ),
    inference(avatar_split_clause,[],[f273,f506,f797]) ).

fof(f802,definition,
    ( spl0_83
  <=> c2_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_83
    | spl0_25 ),
    inference(avatar_split_clause,[],[f272,f506,f802]) ).

fof(f807,definition,
    ( spl0_84
  <=> c0_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl0_84
    | spl0_25 ),
    inference(avatar_split_clause,[],[f271,f506,f807]) ).

fof(f813,definition,
    ( spl0_85
  <=> c3_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c3_1(a179)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( ~ spl0_85
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f114,f496,f813]) ).

fof(f818,definition,
    ( spl0_86
  <=> c1_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ spl0_86
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f115,f496,f818]) ).

fof(f823,definition,
    ( spl0_87
  <=> c2_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f826,plain,
    ( ~ spl0_87
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f269,f496,f823]) ).

fof(f829,definition,
    ( spl0_88
  <=> c2_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_88
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f268,f479,f829]) ).

fof(f834,definition,
    ( spl0_89
  <=> c1_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f836,plain,
    ( ~ c1_1(a176)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( ~ spl0_89
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f119,f479,f834]) ).

fof(f839,definition,
    ( spl0_90
  <=> c0_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f842,plain,
    ( spl0_90
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f120,f479,f839]) ).

fof(f861,definition,
    ( spl0_94
  <=> c3_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ c3_1(a168)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( ~ spl0_94
    | spl0_7 ),
    inference(avatar_split_clause,[],[f263,f426,f861]) ).

fof(f866,definition,
    ( spl0_95
  <=> c0_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f869,plain,
    ( ~ spl0_95
    | spl0_7 ),
    inference(avatar_split_clause,[],[f262,f426,f866]) ).

fof(f871,definition,
    ( spl0_96
  <=> c1_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f873,plain,
    ( c1_1(a168)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( spl0_96
    | spl0_7 ),
    inference(avatar_split_clause,[],[f261,f426,f871]) ).

fof(f877,definition,
    ( spl0_97
  <=> c2_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f880,plain,
    ( spl0_97
    | spl0_2 ),
    inference(avatar_split_clause,[],[f259,f404,f877]) ).

fof(f882,definition,
    ( spl0_98
  <=> c3_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f884,plain,
    ( c3_1(a164)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( spl0_98
    | spl0_2 ),
    inference(avatar_split_clause,[],[f258,f404,f882]) ).

fof(f887,definition,
    ( spl0_99
  <=> c1_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f889,plain,
    ( c1_1(a164)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl0_99
    | spl0_2 ),
    inference(avatar_split_clause,[],[f257,f404,f887]) ).

fof(f891,plain,
    ( spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f256,f404,f462]) ).

fof(f893,definition,
    ( spl0_100
  <=> c2_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f896,plain,
    ( spl0_100
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f255,f542,f893]) ).

fof(f898,definition,
    ( spl0_101
  <=> c1_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ c1_1(a160)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f901,plain,
    ( ~ spl0_101
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f135,f542,f898]) ).

fof(f903,definition,
    ( spl0_102
  <=> c3_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f905,plain,
    ( c3_1(a160)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( spl0_102
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f136,f542,f903]) ).

fof(f909,definition,
    ( spl0_103
  <=> c2_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f912,plain,
    ( spl0_103
    | spl0_30 ),
    inference(avatar_split_clause,[],[f254,f527,f909]) ).

fof(f914,definition,
    ( spl0_104
  <=> c0_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ spl0_104
    | spl0_30 ),
    inference(avatar_split_clause,[],[f253,f527,f914]) ).

fof(f919,definition,
    ( spl0_105
  <=> c1_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f921,plain,
    ( c1_1(a155)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( spl0_105
    | spl0_30 ),
    inference(avatar_split_clause,[],[f252,f527,f919]) ).

fof(f925,definition,
    ( spl0_106
  <=> c0_1(a154) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f928,plain,
    ( ~ spl0_106
    | spl0_43 ),
    inference(avatar_split_clause,[],[f250,f590,f925]) ).

fof(f935,definition,
    ( spl0_108
  <=> c1_1(a154) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f937,plain,
    ( c1_1(a154)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( spl0_108
    | spl0_43 ),
    inference(avatar_split_clause,[],[f248,f590,f935]) ).

fof(f941,definition,
    ( spl0_109
  <=> c0_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ spl0_109
    | spl0_6 ),
    inference(avatar_split_clause,[],[f246,f422,f941]) ).

fof(f946,definition,
    ( spl0_110
  <=> c3_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f948,plain,
    ( c3_1(a153)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( spl0_110
    | spl0_6 ),
    inference(avatar_split_clause,[],[f245,f422,f946]) ).

fof(f951,definition,
    ( spl0_111
  <=> c2_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f954,plain,
    ( ~ spl0_111
    | spl0_6 ),
    inference(avatar_split_clause,[],[f244,f422,f951]) ).

fof(f973,definition,
    ( spl0_115
  <=> c1_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ spl0_115
    | spl0_4 ),
    inference(avatar_split_clause,[],[f242,f413,f973]) ).

fof(f978,definition,
    ( spl0_116
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f980,plain,
    ( c3_1(a143)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f981,plain,
    ( spl0_116
    | spl0_4 ),
    inference(avatar_split_clause,[],[f241,f413,f978]) ).

fof(f983,definition,
    ( spl0_117
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f986,plain,
    ( ~ spl0_117
    | spl0_4 ),
    inference(avatar_split_clause,[],[f240,f413,f983]) ).

fof(f989,definition,
    ( spl0_118
  <=> c1_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ c1_1(a142)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f992,plain,
    ( ~ spl0_118
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f158,f417,f989]) ).

fof(f994,definition,
    ( spl0_119
  <=> c3_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f996,plain,
    ( c3_1(a142)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f997,plain,
    ( spl0_119
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f159,f417,f994]) ).

fof(f999,definition,
    ( spl0_120
  <=> c0_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1002,plain,
    ( spl0_120
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f160,f417,f999]) ).

fof(f1021,definition,
    ( spl0_124
  <=> c3_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ c3_1(a140)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1024,plain,
    ( ~ spl0_124
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f166,f475,f1021]) ).

fof(f1026,definition,
    ( spl0_125
  <=> c2_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl0_125
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f237,f475,f1026]) ).

fof(f1031,definition,
    ( spl0_126
  <=> c0_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1034,plain,
    ( spl0_126
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f168,f475,f1031]) ).

fof(f1037,definition,
    ( spl0_127
  <=> c2_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1040,plain,
    ( spl0_127
    | spl0_13 ),
    inference(avatar_split_clause,[],[f236,f453,f1037]) ).

fof(f1042,definition,
    ( spl0_128
  <=> c1_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1044,plain,
    ( c1_1(a138)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1045,plain,
    ( spl0_128
    | spl0_13 ),
    inference(avatar_split_clause,[],[f235,f453,f1042]) ).

fof(f1047,definition,
    ( spl0_129
  <=> c0_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1050,plain,
    ( spl0_129
    | spl0_13 ),
    inference(avatar_split_clause,[],[f234,f453,f1047]) ).

fof(f1053,definition,
    ( spl0_130
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1055,plain,
    ( ~ c3_1(a134)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1056,plain,
    ( ~ spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f400,f1053]) ).

fof(f1058,definition,
    ( spl0_131
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1061,plain,
    ( ~ spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f400,f1058]) ).

fof(f1063,definition,
    ( spl0_132
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1066,plain,
    ( ~ spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f232,f400,f1063]) ).

fof(f1067,plain,
    ( spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f400,f462]) ).

fof(f1069,definition,
    ( spl0_133
  <=> c2_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1072,plain,
    ( spl0_133
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f231,f510,f1069]) ).

fof(f1074,definition,
    ( spl0_134
  <=> c0_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1077,plain,
    ( ~ spl0_134
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f179,f510,f1074]) ).

fof(f1079,definition,
    ( spl0_135
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1081,plain,
    ( c3_1(a132)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1082,plain,
    ( spl0_135
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f180,f510,f1079]) ).

fof(f1085,definition,
    ( spl0_136
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1088,plain,
    ( spl0_136
    | spl0_9 ),
    inference(avatar_split_clause,[],[f230,f435,f1085]) ).

fof(f1090,definition,
    ( spl0_137
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1092,plain,
    ( ~ c1_1(a131)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1093,plain,
    ( ~ spl0_137
    | spl0_9 ),
    inference(avatar_split_clause,[],[f229,f435,f1090]) ).

fof(f1101,definition,
    ( spl0_139
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ c3_1(a130)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1104,plain,
    ( ~ spl0_139
    | spl0_57 ),
    inference(avatar_split_clause,[],[f226,f666,f1101]) ).

fof(f1106,definition,
    ( spl0_140
  <=> c1_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c1_1(a130)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_140
    | spl0_57 ),
    inference(avatar_split_clause,[],[f225,f666,f1106]) ).

fof(f1111,definition,
    ( spl0_141
  <=> c0_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1114,plain,
    ( ~ spl0_141
    | spl0_57 ),
    inference(avatar_split_clause,[],[f224,f666,f1111]) ).

fof(f1133,definition,
    ( spl0_145
  <=> c3_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1135,plain,
    ( ~ c3_1(a127)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1136,plain,
    ( ~ spl0_145
    | spl0_11 ),
    inference(avatar_split_clause,[],[f222,f444,f1133]) ).

fof(f1138,definition,
    ( spl0_146
  <=> c2_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1141,plain,
    ( spl0_146
    | spl0_11 ),
    inference(avatar_split_clause,[],[f221,f444,f1138]) ).

fof(f1143,definition,
    ( spl0_147
  <=> c1_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1146,plain,
    ( spl0_147
    | spl0_11 ),
    inference(avatar_split_clause,[],[f220,f444,f1143]) ).

fof(f1149,definition,
    ( spl0_148
  <=> c0_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1152,plain,
    ( ~ spl0_148
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f198,f408,f1149]) ).

fof(f1154,definition,
    ( spl0_149
  <=> c2_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1157,plain,
    ( ~ spl0_149
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f218,f408,f1154]) ).

fof(f1159,definition,
    ( spl0_150
  <=> c1_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1161,plain,
    ( c1_1(a125)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1162,plain,
    ( spl0_150
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f408,f1159]) ).

fof(f1163,plain,
    ( spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f201,f408,f462]) ).

fof(f1165,definition,
    ( spl0_151
  <=> c3_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1167,plain,
    ( ~ c3_1(a124)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1168,plain,
    ( ~ spl0_151
    | spl0_32 ),
    inference(avatar_split_clause,[],[f217,f537,f1165]) ).

fof(f1170,definition,
    ( spl0_152
  <=> c2_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1173,plain,
    ( ~ spl0_152
    | spl0_32 ),
    inference(avatar_split_clause,[],[f216,f537,f1170]) ).

fof(f1175,definition,
    ( spl0_153
  <=> c1_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl0_153
    | spl0_32 ),
    inference(avatar_split_clause,[],[f215,f537,f1175]) ).

fof(f1181,definition,
    ( spl0_154
  <=> c1_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1183,plain,
    ( ~ c1_1(a123)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1184,plain,
    ( ~ spl0_154
    | spl0_37 ),
    inference(avatar_split_clause,[],[f213,f563,f1181]) ).

fof(f1186,definition,
    ( spl0_155
  <=> c0_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1189,plain,
    ( ~ spl0_155
    | spl0_37 ),
    inference(avatar_split_clause,[],[f212,f563,f1186]) ).

fof(f1191,definition,
    ( spl0_156
  <=> c2_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1194,plain,
    ( ~ spl0_156
    | spl0_37 ),
    inference(avatar_split_clause,[],[f211,f563,f1191]) ).

fof(f1196,plain,
    ( ~ c1_1(a167)
    | c2_1(a167)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f467,f703]) ).

fof(f1197,plain,
    ( ~ c1_1(a122)
    | c2_1(a122)
    | ~ spl0_16
    | ~ spl0_73 ),
    inference(resolution,[],[f467,f751]) ).

fof(f1200,definition,
    ( spl0_157
  <=> c1_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1203,plain,
    ( spl0_74
    | ~ spl0_157
    | ~ spl0_16
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1197,f749,f466,f1200,f754]) ).

fof(f1205,definition,
    ( spl0_158
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1208,plain,
    ( spl0_158
    | ~ spl0_65
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1196,f701,f466,f706,f1205]) ).

fof(f1209,plain,
    ( ~ c0_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(resolution,[],[f472,f703]) ).

fof(f1210,plain,
    ( ~ c0_1(a122)
    | ~ c1_1(a122)
    | ~ spl0_17
    | ~ spl0_73 ),
    inference(resolution,[],[f472,f751]) ).

fof(f1213,definition,
    ( spl0_159
  <=> c0_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1219,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(resolution,[],[f501,f472]) ).

fof(f1220,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(resolution,[],[f501,f467]) ).

fof(f1226,plain,
    ( c2_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_24
    | spl0_130 ),
    inference(resolution,[],[f501,f1055]) ).

fof(f1241,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1220]) ).

fof(f1242,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1219]) ).

fof(f1254,definition,
    ( spl0_162
  <=> c1_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1255,plain,
    ( c1_1(a153)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1259,definition,
    ( spl0_163
  <=> c1_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1261,plain,
    ( ~ c1_1(a140)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1264,definition,
    ( spl0_164
  <=> c1_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1269,definition,
    ( spl0_165
  <=> c1_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1283,plain,
    ( ~ c1_1(a140)
    | ~ c0_1(a140)
    | ~ spl0_27
    | spl0_124 ),
    inference(resolution,[],[f515,f1023]) ).

fof(f1305,plain,
    ( ~ c2_1(a132)
    | ~ c1_1(a132)
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(resolution,[],[f524,f1081]) ).

fof(f1306,plain,
    ( ~ c2_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(resolution,[],[f524,f884]) ).

fof(f1325,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_35 ),
    inference(resolution,[],[f552,f534]) ).

fof(f1326,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(resolution,[],[f552,f472]) ).

fof(f1329,plain,
    ( ~ c1_1(a127)
    | ~ c2_1(a127)
    | ~ spl0_35
    | spl0_145 ),
    inference(resolution,[],[f552,f1135]) ).

fof(f1340,plain,
    ( ~ c1_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_35
    | spl0_94 ),
    inference(resolution,[],[f552,f863]) ).

fof(f1347,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1326]) ).

fof(f1348,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1325]) ).

fof(f1349,plain,
    ( spl0_34
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1347,f551,f471,f546]) ).

fof(f1350,plain,
    ( spl0_34
    | ~ spl0_31
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1348,f551,f533,f546]) ).

fof(f1353,plain,
    ( c1_1(a143)
    | c2_1(a143)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f558,f980]) ).

fof(f1355,plain,
    ( c1_1(a122)
    | c2_1(a122)
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(resolution,[],[f558,f751]) ).

fof(f1359,plain,
    ( spl0_74
    | spl0_157
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1355,f749,f557,f1200,f754]) ).

fof(f1363,plain,
    ( c1_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_38
    | ~ spl0_116 ),
    inference(resolution,[],[f568,f980]) ).

fof(f1365,plain,
    ( c1_1(a122)
    | ~ c0_1(a122)
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(resolution,[],[f568,f751]) ).

fof(f1370,definition,
    ( spl0_166
  <=> c0_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1376,plain,
    ( ~ c1_1(a153)
    | c2_1(a153)
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(resolution,[],[f948,f467]) ).

fof(f1384,plain,
    ( c2_1(a134)
    | c1_1(a134)
    | ~ spl0_39
    | spl0_130 ),
    inference(resolution,[],[f575,f1055]) ).

fof(f1392,plain,
    ( c2_1(a179)
    | c1_1(a179)
    | ~ spl0_39
    | spl0_85 ),
    inference(resolution,[],[f575,f815]) ).

fof(f1407,definition,
    ( spl0_168
  <=> c2_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1413,definition,
    ( spl0_169
  <=> c2_1(a154) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1423,definition,
    ( spl0_171
  <=> c2_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1429,definition,
    ( spl0_172
  <=> c2_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1445,plain,
    ( ~ c0_1(a143)
    | c2_1(a143)
    | ~ spl0_40
    | ~ spl0_116 ),
    inference(resolution,[],[f579,f980]) ).

fof(f1448,plain,
    ( ~ c0_1(a122)
    | c2_1(a122)
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(resolution,[],[f579,f751]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_44 ),
    inference(resolution,[],[f595,f582]) ).

fof(f1484,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1462]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24
    | ~ spl0_45 ),
    inference(resolution,[],[f600,f501]) ).

fof(f1503,plain,
    ( c0_1(a143)
    | c2_1(a143)
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(resolution,[],[f600,f980]) ).

fof(f1504,plain,
    ( c0_1(a153)
    | c2_1(a153)
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(resolution,[],[f600,f948]) ).

fof(f1509,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1500]) ).

fof(f1540,definition,
    ( spl0_175
  <=> c0_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1545,definition,
    ( spl0_176
  <=> c0_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1579,plain,
    ( c0_1(a132)
    | ~ c2_1(a132)
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(resolution,[],[f628,f1081]) ).

fof(f1585,plain,
    ( c0_1(a164)
    | ~ c2_1(a164)
    | ~ spl0_51
    | ~ spl0_98 ),
    inference(resolution,[],[f628,f884]) ).

fof(f1593,plain,
    ( c2_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f724,f493]) ).

fof(f1606,plain,
    ( ~ c0_1(a140)
    | ~ c2_1(a140)
    | ~ spl0_42
    | spl0_163 ),
    inference(resolution,[],[f587,f1261]) ).

fof(f1608,plain,
    ( ~ c0_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_42
    | spl0_118 ),
    inference(resolution,[],[f587,f991]) ).

fof(f1614,plain,
    ( ~ c0_1(a176)
    | ~ c2_1(a176)
    | ~ spl0_42
    | spl0_89 ),
    inference(resolution,[],[f587,f836]) ).

fof(f1628,plain,
    ( ~ spl0_125
    | ~ spl0_126
    | ~ spl0_42
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1606,f1259,f586,f1031,f1026]) ).

fof(f1639,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(resolution,[],[f623,f467]) ).

fof(f1642,plain,
    ( ~ c1_1(a134)
    | c0_1(a134)
    | ~ spl0_50
    | spl0_130 ),
    inference(resolution,[],[f623,f1055]) ).

fof(f1647,plain,
    ( ~ c1_1(a168)
    | c0_1(a168)
    | ~ spl0_50
    | spl0_94 ),
    inference(resolution,[],[f623,f863]) ).

fof(f1653,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1639]) ).

fof(f1666,plain,
    ( spl0_111
    | spl0_109
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1504,f946,f599,f941,f951]) ).

fof(f1671,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_35
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1329,f1133,f551,f1143,f1138]) ).

fof(f1681,plain,
    ( spl0_117
    | spl0_115
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1353,f978,f557,f973,f983]) ).

fof(f1711,plain,
    ( c2_1(a133)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(resolution,[],[f1241,f745]) ).

fof(f1714,plain,
    ( spl0_71
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1711,f743,f500,f466,f738]) ).

fof(f1738,plain,
    ( c2_1(a124)
    | ~ c1_1(a124)
    | ~ spl0_24
    | spl0_151 ),
    inference(resolution,[],[f501,f1167]) ).

fof(f1757,plain,
    ( ~ c2_1(a164)
    | ~ c0_1(a164)
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(resolution,[],[f534,f884]) ).

fof(f1763,plain,
    ( ~ c2_1(a167)
    | ~ c0_1(a167)
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(resolution,[],[f534,f703]) ).

fof(f1765,plain,
    ( ~ c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_34
    | ~ spl0_128 ),
    inference(resolution,[],[f547,f1044]) ).

fof(f1768,plain,
    ( ~ c2_1(a164)
    | ~ c0_1(a164)
    | ~ spl0_34
    | ~ spl0_99 ),
    inference(resolution,[],[f547,f889]) ).

fof(f1779,plain,
    ( ~ c1_1(a140)
    | ~ c2_1(a140)
    | ~ spl0_35
    | spl0_124 ),
    inference(resolution,[],[f552,f1023]) ).

fof(f1793,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(resolution,[],[f558,f996]) ).

fof(f1795,plain,
    ( c1_1(a153)
    | c2_1(a153)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f558,f948]) ).

fof(f1810,plain,
    ( spl0_171
    | spl0_118
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1793,f994,f557,f989,f1423]) ).

fof(f1827,plain,
    ( c2_1(a153)
    | c0_1(a153)
    | ~ spl0_48
    | ~ spl0_162 ),
    inference(resolution,[],[f1255,f614]) ).

fof(f1843,plain,
    ( ~ spl0_97
    | spl0_159
    | ~ spl0_51
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1585,f882,f627,f1213,f877]) ).

fof(f1854,plain,
    ( spl0_111
    | spl0_162
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1795,f946,f557,f1254,f951]) ).

fof(f1855,plain,
    ( ~ spl0_126
    | ~ spl0_163
    | ~ spl0_27
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1283,f1021,f514,f1259,f1031]) ).

fof(f1869,plain,
    ( ~ spl0_159
    | ~ spl0_97
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1757,f882,f533,f877,f1213]) ).

fof(f1870,plain,
    ( ~ spl0_66
    | ~ spl0_158
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1763,f701,f533,f1205,f711]) ).

fof(f1873,plain,
    ( ~ spl0_129
    | ~ spl0_127
    | ~ spl0_34
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1765,f1042,f546,f1037,f1047]) ).

fof(f1874,plain,
    ( ~ spl0_159
    | ~ spl0_97
    | ~ spl0_34
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1768,f887,f546,f877,f1213]) ).

fof(f1878,plain,
    ( spl0_117
    | ~ spl0_166
    | ~ spl0_40
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1445,f978,f578,f1370,f983]) ).

fof(f1880,plain,
    ( spl0_74
    | ~ spl0_75
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1448,f749,f578,f759,f754]) ).

fof(f1882,plain,
    ( spl0_109
    | spl0_111
    | ~ spl0_48
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1827,f1254,f613,f951,f941]) ).

fof(f1886,plain,
    ( ~ spl0_153
    | spl0_152
    | ~ spl0_24
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1738,f1165,f500,f1170,f1175]) ).

fof(f1888,plain,
    ( spl0_117
    | spl0_166
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1503,f978,f599,f1370,f983]) ).

fof(f1898,plain,
    ( c2_1(a168)
    | ~ c1_1(a168)
    | ~ spl0_24
    | spl0_94 ),
    inference(resolution,[],[f501,f863]) ).

fof(f1916,plain,
    ( ~ c2_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(resolution,[],[f534,f996]) ).

fof(f1933,plain,
    ( c1_1(a132)
    | ~ c2_1(a132)
    | ~ spl0_41
    | ~ spl0_135 ),
    inference(resolution,[],[f582,f1081]) ).

fof(f1970,plain,
    ( c2_1(a125)
    | c0_1(a125)
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(resolution,[],[f614,f1161]) ).

fof(f1975,plain,
    ( c2_1(a154)
    | c0_1(a154)
    | ~ spl0_48
    | ~ spl0_108 ),
    inference(resolution,[],[f614,f937]) ).

fof(f1978,plain,
    ( c2_1(a168)
    | c0_1(a168)
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(resolution,[],[f614,f873]) ).

fof(f1988,plain,
    ( c2_1(a134)
    | c0_1(a134)
    | ~ spl0_49
    | spl0_130 ),
    inference(resolution,[],[f618,f1055]) ).

fof(f1995,plain,
    ( c2_1(a179)
    | c0_1(a179)
    | ~ spl0_49
    | spl0_85 ),
    inference(resolution,[],[f618,f815]) ).

fof(f2033,plain,
    ( c2_1(a179)
    | ~ c0_1(a179)
    | ~ spl0_52
    | spl0_85 ),
    inference(resolution,[],[f633,f815]) ).

fof(f2040,plain,
    ( ~ spl0_175
    | spl0_87
    | ~ spl0_52
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2033,f813,f632,f823,f1540]) ).

fof(f2043,plain,
    ( spl0_22
    | ~ spl0_17
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1242,f500,f471,f492]) ).

fof(f2044,plain,
    ( ~ spl0_165
    | ~ spl0_133
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1305,f1079,f523,f1069,f1269]) ).

fof(f2045,plain,
    ( ~ spl0_99
    | ~ spl0_97
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1306,f882,f523,f877,f887]) ).

fof(f2057,plain,
    ( ~ spl0_120
    | ~ spl0_171
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1916,f994,f533,f1423,f999]) ).

fof(f2058,plain,
    ( ~ spl0_171
    | ~ spl0_120
    | ~ spl0_42
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1608,f989,f586,f999,f1423]) ).

fof(f2066,plain,
    ( spl0_175
    | spl0_87
    | ~ spl0_49
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1995,f813,f617,f823,f1540]) ).

fof(f2069,plain,
    ( spl0_111
    | ~ spl0_162
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1376,f946,f466,f1254,f951]) ).

fof(f2070,plain,
    ( spl0_48
    | ~ spl0_16
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1653,f622,f466,f613]) ).

fof(f2071,plain,
    ( ~ spl0_69
    | spl0_67
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1593,f722,f492,f717,f727]) ).

fof(f2075,plain,
    ( spl0_164
    | spl0_132
    | ~ spl0_39
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1384,f1053,f574,f1063,f1264]) ).

fof(f2077,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_39
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1392,f813,f574,f823,f818]) ).

fof(f2081,plain,
    ( ~ spl0_133
    | spl0_165
    | ~ spl0_41
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1933,f1079,f581,f1269,f1069]) ).

fof(f2083,plain,
    ( spl0_131
    | ~ spl0_164
    | ~ spl0_50
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1642,f1053,f622,f1264,f1058]) ).

fof(f2085,plain,
    ( ~ spl0_133
    | spl0_134
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1579,f1079,f627,f1074,f1069]) ).

fof(f2090,plain,
    ( ~ spl0_164
    | spl0_132
    | ~ spl0_24
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1226,f1053,f500,f1063,f1264]) ).

fof(f2129,plain,
    ( ~ c2_1(a130)
    | ~ spl0_41
    | ~ spl0_44
    | spl0_140 ),
    inference(resolution,[],[f1484,f1108]) ).

fof(f2130,plain,
    ( ~ c2_1(a131)
    | ~ spl0_41
    | ~ spl0_44
    | spl0_137 ),
    inference(resolution,[],[f1484,f1092]) ).

fof(f2155,plain,
    ( ~ spl0_136
    | ~ spl0_41
    | ~ spl0_44
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2130,f1090,f594,f581,f1085]) ).

fof(f2156,plain,
    ( ~ spl0_172
    | ~ spl0_41
    | ~ spl0_44
    | spl0_140 ),
    inference(avatar_split_clause,[],[f2129,f1106,f594,f581,f1429]) ).

fof(f2162,plain,
    ( c2_1(a125)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_150 ),
    inference(resolution,[],[f1161,f1241]) ).

fof(f2163,plain,
    ( spl0_149
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2162,f1159,f500,f466,f1154]) ).

fof(f2166,plain,
    ( spl0_95
    | ~ spl0_96
    | ~ spl0_50
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1647,f861,f622,f871,f866]) ).

fof(f2168,plain,
    ( spl0_48
    | ~ spl0_24
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1509,f599,f500,f613]) ).

fof(f2169,plain,
    ( ~ spl0_65
    | ~ spl0_66
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1209,f701,f471,f711,f706]) ).

fof(f2170,plain,
    ( ~ spl0_157
    | ~ spl0_75
    | ~ spl0_17
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1210,f749,f471,f759,f1200]) ).

fof(f2174,plain,
    ( ~ spl0_168
    | ~ spl0_96
    | ~ spl0_35
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1340,f861,f551,f871,f1407]) ).

fof(f2176,plain,
    ( ~ spl0_125
    | ~ spl0_163
    | ~ spl0_35
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1779,f1021,f551,f1259,f1026]) ).

fof(f2178,plain,
    ( ~ spl0_166
    | spl0_115
    | ~ spl0_38
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1363,f978,f567,f973,f1370]) ).

fof(f2179,plain,
    ( ~ spl0_75
    | spl0_157
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1365,f749,f567,f1200,f759]) ).

fof(f2185,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1970,f1159,f613,f1154,f1149]) ).

fof(f2186,plain,
    ( spl0_106
    | spl0_169
    | ~ spl0_48
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1975,f935,f613,f1413,f925]) ).

fof(f2187,plain,
    ( spl0_95
    | spl0_168
    | ~ spl0_48
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1978,f871,f613,f1407,f866]) ).

fof(f2190,plain,
    ( ~ spl0_96
    | spl0_168
    | ~ spl0_24
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1898,f861,f500,f1407,f871]) ).

fof(f2193,plain,
    ( ~ spl0_88
    | ~ spl0_90
    | ~ spl0_42
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1614,f834,f586,f839,f829]) ).

fof(f2196,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_49
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1988,f1053,f617,f1063,f1058]) ).

fof(f2225,plain,
    ( c1_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_38
    | ~ spl0_119 ),
    inference(resolution,[],[f568,f996]) ).

fof(f2231,plain,
    ( ~ spl0_120
    | spl0_118
    | ~ spl0_38
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2225,f994,f567,f989,f999]) ).

fof(f2243,plain,
    ( ~ c0_1(a160)
    | ~ c2_1(a160)
    | ~ spl0_42
    | spl0_101 ),
    inference(resolution,[],[f587,f900]) ).

fof(f2253,plain,
    ( c2_1(a130)
    | c0_1(a130)
    | ~ spl0_49
    | spl0_139 ),
    inference(resolution,[],[f618,f1103]) ).

fof(f2272,plain,
    ( c0_1(a154)
    | ~ c2_1(a154)
    | ~ spl0_54
    | ~ spl0_108 ),
    inference(resolution,[],[f644,f937]) ).

fof(f2273,plain,
    ( c0_1(a155)
    | ~ c2_1(a155)
    | ~ spl0_54
    | ~ spl0_105 ),
    inference(resolution,[],[f644,f921]) ).

fof(f2274,plain,
    ( c0_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_54
    | ~ spl0_96 ),
    inference(resolution,[],[f644,f873]) ).

fof(f2282,plain,
    ( ~ spl0_168
    | spl0_95
    | ~ spl0_54
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2274,f871,f643,f866,f1407]) ).

fof(f2283,plain,
    ( ~ spl0_103
    | spl0_104
    | ~ spl0_54
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2273,f919,f643,f914,f909]) ).

fof(f2284,plain,
    ( ~ spl0_169
    | spl0_106
    | ~ spl0_54
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2272,f935,f643,f925,f1413]) ).

fof(f2291,plain,
    ( c0_1(a130)
    | ~ c2_1(a130)
    | ~ spl0_55
    | spl0_139 ),
    inference(resolution,[],[f652,f1103]) ).

fof(f2298,plain,
    ( c0_1(a168)
    | ~ c2_1(a168)
    | ~ spl0_55
    | spl0_94 ),
    inference(resolution,[],[f652,f863]) ).

fof(f2300,plain,
    ( c0_1(a182)
    | ~ c2_1(a182)
    | ~ spl0_55
    | spl0_82 ),
    inference(resolution,[],[f652,f799]) ).

fof(f2304,plain,
    ( ~ spl0_83
    | spl0_84
    | ~ spl0_55
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2300,f797,f651,f807,f802]) ).

fof(f2305,plain,
    ( ~ spl0_168
    | spl0_95
    | ~ spl0_55
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2298,f861,f651,f866,f1407]) ).

fof(f2309,plain,
    ( ~ spl0_172
    | spl0_141
    | ~ spl0_55
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2291,f1101,f651,f1111,f1429]) ).

fof(f2315,plain,
    ( ~ c2_1(a160)
    | ~ c0_1(a160)
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(resolution,[],[f905,f534]) ).

fof(f2324,plain,
    ( c0_1(a132)
    | c1_1(a132)
    | ~ spl0_56
    | ~ spl0_135 ),
    inference(resolution,[],[f659,f1081]) ).

fof(f2326,plain,
    ( c0_1(a143)
    | c1_1(a143)
    | ~ spl0_56
    | ~ spl0_116 ),
    inference(resolution,[],[f659,f980]) ).

fof(f2327,plain,
    ( c0_1(a153)
    | c1_1(a153)
    | ~ spl0_56
    | ~ spl0_110 ),
    inference(resolution,[],[f659,f948]) ).

fof(f2329,plain,
    ( c0_1(a160)
    | c1_1(a160)
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(resolution,[],[f659,f905]) ).

fof(f2335,plain,
    ( spl0_101
    | spl0_176
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2329,f903,f658,f1545,f898]) ).

fof(f2336,plain,
    ( spl0_162
    | spl0_109
    | ~ spl0_56
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2327,f946,f658,f941,f1254]) ).

fof(f2337,plain,
    ( spl0_115
    | spl0_166
    | ~ spl0_56
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2326,f978,f658,f1370,f973]) ).

fof(f2338,plain,
    ( spl0_165
    | spl0_134
    | ~ spl0_56
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2324,f1079,f658,f1074,f1269]) ).

fof(f2341,plain,
    ( c2_1(a123)
    | c0_1(a123)
    | ~ spl0_58
    | spl0_154 ),
    inference(resolution,[],[f671,f1183]) ).

fof(f2352,plain,
    ( spl0_155
    | spl0_156
    | ~ spl0_58
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2341,f1181,f670,f1191,f1186]) ).

fof(f2354,plain,
    ( ~ spl0_100
    | ~ spl0_176
    | ~ spl0_42
    | spl0_101 ),
    inference(avatar_split_clause,[],[f2243,f898,f586,f1545,f893]) ).

fof(f2355,plain,
    ( ~ spl0_176
    | ~ spl0_100
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2315,f903,f533,f893,f1545]) ).

fof(f2362,plain,
    ( spl0_141
    | spl0_172
    | ~ spl0_49
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2253,f1101,f617,f1429,f1111]) ).

fof(f2380,plain,
    ( c1_1(a160)
    | ~ c2_1(a160)
    | ~ spl0_41
    | ~ spl0_102 ),
    inference(resolution,[],[f582,f905]) ).

fof(f2385,plain,
    ( ~ spl0_100
    | spl0_101
    | ~ spl0_41
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2380,f903,f581,f898,f893]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s5,plain,
    ( ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s6,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s7,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s8,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s9,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_15
    | spl0_17 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s10,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s13,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s14,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_15
    | spl0_24 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s15,plain,
    ( ~ spl0_15
    | ~ spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s17,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_15
    | spl0_29 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s18,plain,
    ( ~ spl0_15
    | ~ spl0_25
    | spl0_29
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s19,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_29
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s21,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_31
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s22,plain,
    ( ~ spl0_15
    | spl0_18
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s24,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_25
    | spl0_35 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s25,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_23
    | spl0_36 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s28,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_26
    | spl0_36 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s29,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_24
    | spl0_36 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s31,plain,
    ( ~ spl0_6
    | ~ spl0_11
    | ~ spl0_15
    | spl0_38 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s33,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_34
    | spl0_38 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s34,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | spl0_39 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s36,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_35
    | spl0_41 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s37,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_30
    | spl0_42 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s38,plain,
    ( spl0_3
    | ~ spl0_15
    | ~ spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s39,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_27
    | spl0_44 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s40,plain,
    ( ~ spl0_15
    | spl0_33
    | ~ spl0_37
    | spl0_45 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s41,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s42,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_42
    | spl0_45 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s44,plain,
    ( ~ spl0_15
    | spl0_24
    | spl0_39
    | spl0_48 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s45,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_35
    | spl0_49 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s46,plain,
    ( ~ spl0_15
    | spl0_22
    | spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s48,plain,
    ( ~ spl0_15
    | spl0_24
    | spl0_40
    | spl0_50 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s51,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s52,plain,
    ( ~ spl0_15
    | spl0_35
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s53,plain,
    ( ~ spl0_15
    | spl0_42
    | spl0_48
    | spl0_51 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s55,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s57,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_42
    | spl0_54 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s58,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s59,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s62,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_46
    | spl0_55 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s63,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_40
    | spl0_55 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s64,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_53
    | spl0_56 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s65,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_34
    | spl0_56 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s66,plain,
    ( ~ spl0_9
    | ~ spl0_15
    | spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s67,plain,
    ( ~ spl0_15
    | spl0_36
    | spl0_41
    | spl0_56 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s68,plain,
    ( ~ spl0_15
    | spl0_24
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s69,plain,
    ( ~ spl0_15
    | spl0_22
    | ~ spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s70,plain,
    ( ~ spl0_12
    | ~ spl0_15
    | spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s81,plain,
    ( ~ spl0_14
    | spl0_64 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s82,plain,
    ( ~ spl0_14
    | spl0_65 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s83,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s85,plain,
    ( ~ spl0_46
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s86,plain,
    ( ~ spl0_46
    | spl0_68 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s87,plain,
    ( ~ spl0_46
    | spl0_69 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s90,plain,
    ( spl0_53
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s91,plain,
    ( spl0_53
    | spl0_72 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s93,plain,
    ( spl0_12
    | spl0_73 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s94,plain,
    ( spl0_12
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s95,plain,
    ( spl0_12
    | spl0_75 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s105,plain,
    ( spl0_25
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s106,plain,
    ( spl0_25
    | spl0_83 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s107,plain,
    ( spl0_25
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s109,plain,
    ( ~ spl0_23
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s110,plain,
    ( ~ spl0_23
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s111,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s113,plain,
    ( ~ spl0_19
    | spl0_88 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s114,plain,
    ( ~ spl0_19
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s115,plain,
    ( ~ spl0_19
    | spl0_90 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s121,plain,
    ( spl0_7
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s122,plain,
    ( spl0_7
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s123,plain,
    ( spl0_7
    | spl0_96 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s125,plain,
    ( spl0_2
    | spl0_97 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s126,plain,
    ( spl0_2
    | spl0_98 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s127,plain,
    ( spl0_2
    | spl0_99 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s128,plain,
    ( spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s129,plain,
    ( ~ spl0_33
    | spl0_100 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s130,plain,
    ( ~ spl0_33
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s131,plain,
    ( ~ spl0_33
    | spl0_102 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s133,plain,
    ( spl0_30
    | spl0_103 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s134,plain,
    ( spl0_30
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s135,plain,
    ( spl0_30
    | spl0_105 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s137,plain,
    ( spl0_43
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s139,plain,
    ( spl0_43
    | spl0_108 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s141,plain,
    ( spl0_6
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s142,plain,
    ( spl0_6
    | spl0_110 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s143,plain,
    ( spl0_6
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s149,plain,
    ( spl0_4
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s150,plain,
    ( spl0_4
    | spl0_116 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s151,plain,
    ( spl0_4
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s153,plain,
    ( ~ spl0_5
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s154,plain,
    ( ~ spl0_5
    | spl0_119 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s155,plain,
    ( ~ spl0_5
    | spl0_120 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s161,plain,
    ( ~ spl0_18
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s162,plain,
    ( ~ spl0_18
    | spl0_125 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s163,plain,
    ( ~ spl0_18
    | spl0_126 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s165,plain,
    ( spl0_13
    | spl0_127 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s166,plain,
    ( spl0_13
    | spl0_128 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s167,plain,
    ( spl0_13
    | spl0_129 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s169,plain,
    ( ~ spl0_1
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s170,plain,
    ( ~ spl0_1
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s171,plain,
    ( ~ spl0_1
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s172,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s173,plain,
    ( ~ spl0_26
    | spl0_133 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s174,plain,
    ( ~ spl0_26
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s175,plain,
    ( ~ spl0_26
    | spl0_135 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s177,plain,
    ( spl0_9
    | spl0_136 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s178,plain,
    ( spl0_9
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s181,plain,
    ( spl0_57
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s182,plain,
    ( spl0_57
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s183,plain,
    ( spl0_57
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s189,plain,
    ( spl0_11
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s190,plain,
    ( spl0_11
    | spl0_146 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s191,plain,
    ( spl0_11
    | spl0_147 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s193,plain,
    ( ~ spl0_3
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s194,plain,
    ( ~ spl0_3
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s195,plain,
    ( ~ spl0_3
    | spl0_150 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s196,plain,
    ( ~ spl0_3
    | spl0_15 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s197,plain,
    ( spl0_32
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s198,plain,
    ( spl0_32
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s199,plain,
    ( spl0_32
    | spl0_153 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s201,plain,
    ( spl0_37
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s202,plain,
    ( spl0_37
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s203,plain,
    ( spl0_37
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1194]) ).

cnf(s205,plain,
    ( ~ spl0_16
    | ~ spl0_73
    | spl0_74
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s206,plain,
    ( ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | spl0_158 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s217,plain,
    ( ~ spl0_17
    | spl0_34
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s218,plain,
    ( ~ spl0_31
    | spl0_34
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s220,plain,
    ( ~ spl0_36
    | ~ spl0_73
    | spl0_74
    | spl0_157 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s268,plain,
    ( ~ spl0_42
    | ~ spl0_125
    | ~ spl0_126
    | spl0_163 ),
    inference(sat_conversion,[],[f1628]) ).

cnf(s283,plain,
    ( ~ spl0_45
    | spl0_109
    | ~ spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s288,plain,
    ( ~ spl0_35
    | spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s298,plain,
    ( ~ spl0_36
    | spl0_115
    | ~ spl0_116
    | spl0_117 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s310,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s320,plain,
    ( ~ spl0_36
    | spl0_118
    | ~ spl0_119
    | spl0_171 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s347,plain,
    ( ~ spl0_51
    | ~ spl0_97
    | ~ spl0_98
    | spl0_159 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s359,plain,
    ( ~ spl0_36
    | ~ spl0_110
    | spl0_111
    | spl0_162 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s360,plain,
    ( ~ spl0_27
    | spl0_124
    | ~ spl0_126
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s375,plain,
    ( ~ spl0_31
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1869]) ).

cnf(s376,plain,
    ( ~ spl0_31
    | ~ spl0_64
    | ~ spl0_66
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1870]) ).

cnf(s379,plain,
    ( ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s380,plain,
    ( ~ spl0_34
    | ~ spl0_97
    | ~ spl0_99
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s384,plain,
    ( ~ spl0_40
    | ~ spl0_116
    | spl0_117
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s386,plain,
    ( ~ spl0_40
    | ~ spl0_73
    | spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s388,plain,
    ( ~ spl0_48
    | spl0_109
    | spl0_111
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s392,plain,
    ( ~ spl0_24
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1886]) ).

cnf(s394,plain,
    ( ~ spl0_45
    | ~ spl0_116
    | spl0_117
    | spl0_166 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s406,plain,
    ( ~ spl0_52
    | spl0_85
    | spl0_87
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s409,plain,
    ( ~ spl0_17
    | spl0_22
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s410,plain,
    ( ~ spl0_29
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s411,plain,
    ( ~ spl0_29
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s423,plain,
    ( ~ spl0_31
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2057]) ).

cnf(s424,plain,
    ( ~ spl0_42
    | spl0_118
    | ~ spl0_120
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2058]) ).

cnf(s432,plain,
    ( ~ spl0_49
    | spl0_85
    | spl0_87
    | spl0_175 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s436,plain,
    ( ~ spl0_16
    | ~ spl0_110
    | spl0_111
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s437,plain,
    ( ~ spl0_16
    | spl0_48
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s438,plain,
    ( ~ spl0_22
    | spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f2071]) ).

cnf(s442,plain,
    ( ~ spl0_39
    | spl0_130
    | spl0_132
    | spl0_164 ),
    inference(sat_conversion,[],[f2075]) ).

cnf(s444,plain,
    ( ~ spl0_39
    | spl0_85
    | spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s448,plain,
    ( ~ spl0_41
    | ~ spl0_133
    | ~ spl0_135
    | spl0_165 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s450,plain,
    ( ~ spl0_50
    | spl0_130
    | spl0_131
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s452,plain,
    ( ~ spl0_51
    | ~ spl0_133
    | spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s458,plain,
    ( ~ spl0_24
    | spl0_130
    | spl0_132
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s473,plain,
    ( ~ spl0_41
    | ~ spl0_44
    | ~ spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s474,plain,
    ( ~ spl0_41
    | ~ spl0_44
    | spl0_140
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s479,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s483,plain,
    ( ~ spl0_50
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f2166]) ).

cnf(s485,plain,
    ( ~ spl0_24
    | ~ spl0_45
    | spl0_48 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s487,plain,
    ( ~ spl0_17
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f2169]) ).

cnf(s488,plain,
    ( ~ spl0_17
    | ~ spl0_73
    | ~ spl0_75
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s492,plain,
    ( ~ spl0_35
    | spl0_94
    | ~ spl0_96
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2174]) ).

cnf(s494,plain,
    ( ~ spl0_35
    | spl0_124
    | ~ spl0_125
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s496,plain,
    ( ~ spl0_38
    | spl0_115
    | ~ spl0_116
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s497,plain,
    ( ~ spl0_38
    | ~ spl0_73
    | ~ spl0_75
    | spl0_157 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s503,plain,
    ( ~ spl0_48
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s504,plain,
    ( ~ spl0_48
    | spl0_106
    | ~ spl0_108
    | spl0_169 ),
    inference(sat_conversion,[],[f2186]) ).

cnf(s505,plain,
    ( ~ spl0_48
    | spl0_95
    | ~ spl0_96
    | spl0_168 ),
    inference(sat_conversion,[],[f2187]) ).

cnf(s508,plain,
    ( ~ spl0_24
    | spl0_94
    | ~ spl0_96
    | spl0_168 ),
    inference(sat_conversion,[],[f2190]) ).

cnf(s511,plain,
    ( ~ spl0_42
    | ~ spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s514,plain,
    ( ~ spl0_49
    | spl0_130
    | spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s516,plain,
    ( ~ spl0_38
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s518,plain,
    ( ~ spl0_54
    | spl0_95
    | ~ spl0_96
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s519,plain,
    ( ~ spl0_54
    | ~ spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f2283]) ).

cnf(s520,plain,
    ( ~ spl0_54
    | spl0_106
    | ~ spl0_108
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s523,plain,
    ( ~ spl0_55
    | spl0_82
    | ~ spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s524,plain,
    ( ~ spl0_55
    | spl0_94
    | spl0_95
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2305]) ).

cnf(s528,plain,
    ( ~ spl0_55
    | spl0_139
    | spl0_141
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2309]) ).

cnf(s534,plain,
    ( ~ spl0_56
    | spl0_101
    | ~ spl0_102
    | spl0_176 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s535,plain,
    ( ~ spl0_56
    | spl0_109
    | ~ spl0_110
    | spl0_162 ),
    inference(sat_conversion,[],[f2336]) ).

cnf(s536,plain,
    ( ~ spl0_56
    | spl0_115
    | ~ spl0_116
    | spl0_166 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s537,plain,
    ( ~ spl0_56
    | spl0_134
    | ~ spl0_135
    | spl0_165 ),
    inference(sat_conversion,[],[f2338]) ).

cnf(s540,plain,
    ( ~ spl0_58
    | spl0_154
    | spl0_155
    | spl0_156 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s542,plain,
    ( ~ spl0_42
    | ~ spl0_100
    | spl0_101
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2354]) ).

cnf(s543,plain,
    ( ~ spl0_31
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2355]) ).

cnf(s550,plain,
    ( ~ spl0_49
    | spl0_139
    | spl0_141
    | spl0_172 ),
    inference(sat_conversion,[],[f2362]) ).

cnf(s551,plain,
    ( ~ spl0_41
    | ~ spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s552,plain,
    ( ~ spl0_168
    | spl0_7
    | spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s452,s173,s174,s175,s65,s536,s380,s384,s347,s63,s58,s524,s518,s128,s127,s126,s125,s151,s150,s149,s123,s122,s121]) ).

cnf(s553,plain,
    ( spl0_7
    | spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s44,s508,s505,s552,s121,s122,s123,s444,s109,s110,s111,s27,s298,s149,s150,s151,s128]) ).

cnf(s555,plain,
    ( spl0_11
    | ~ spl0_35 ),
    inference(rat,[],[s288,s189,s190,s191]) ).

cnf(s556,plain,
    ( spl0_32
    | ~ spl0_24 ),
    inference(rat,[],[s392,s197,s198,s199]) ).

cnf(s557,plain,
    ( ~ spl0_35
    | ~ spl0_32
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s379,s165,s166,s167,s8,s206,s218,s376,s21,s555]) ).

cnf(s558,plain,
    ( ~ spl0_26
    | ~ spl0_51 ),
    inference(rat,[],[s452,s173,s174,s175]) ).

cnf(s559,plain,
    ( ~ spl0_51
    | spl0_4
    | spl0_2 ),
    inference(rat,[],[s496,s536,s33,s65,s558,s380,s347,s128,s127,s126,s125,s150,s149]) ).

cnf(s560,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s556,s557,s29,s45,s487,s432,s81,s82,s83,s406,s34,s51,s553,s411,s125,s126,s127,s444,s109,s110,s111,s27,s298,s149,s150,s151,s128,s559]) ).

cnf(s561,plain,
    ( ~ spl0_35
    | spl0_34
    | spl0_36
    | ~ spl0_15 ),
    inference(rat,[],[s556,s21,s29,s218,s217,s555]) ).

cnf(s562,plain,
    ( spl0_12
    | ~ spl0_40 ),
    inference(rat,[],[s386,s93,s94,s95]) ).

cnf(s563,plain,
    ( ~ spl0_33
    | ~ spl0_41 ),
    inference(rat,[],[s551,s129,s130,s131]) ).

cnf(s564,plain,
    ( spl0_58
    | spl0_22
    | spl0_52
    | ~ spl0_49
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s528,s550,s63,s181,s183,s562,s69,s70]) ).

cnf(s565,plain,
    ( spl0_37
    | ~ spl0_58 ),
    inference(rat,[],[s540,s201,s202,s203]) ).

cnf(s566,plain,
    ( spl0_166
    | ~ spl0_37
    | spl0_4
    | ~ spl0_15 ),
    inference(rat,[],[s563,s67,s40,s536,s394,s298,s149,s150,s151]) ).

cnf(s570,plain,
    ( spl0_6
    | ~ spl0_45 ),
    inference(rat,[],[s283,s141,s142,s143]) ).

cnf(s571,plain,
    ( spl0_25
    | ~ spl0_55 ),
    inference(rat,[],[s523,s105,s106,s107]) ).

cnf(s572,plain,
    ( spl0_35
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s67,s534,s543,s563,s129,s130,s131,s59,s40,s519,s570,s133,s134,s135,s24,s18,s571,s63,s384,s566,s565,s564,s438,s406,s85,s86,s87,s432,s52,s45,s411,s125,s126,s127,s111,s109,s27,s298,s149,s150,s151,s128,s559]) ).

cnf(s573,plain,
    ( spl0_13
    | ~ spl0_34 ),
    inference(rat,[],[s379,s165,s166,s167]) ).

cnf(s574,plain,
    ( spl0_54
    | spl0_56
    | ~ spl0_16
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(rat,[],[s68,s310,s90,s91,s55]) ).

cnf(s575,plain,
    ( spl0_4
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s520,s504,s137,s139,s38,s44,s473,s310,s177,s178,s90,s91,s66,s67,s64,s574,s535,s436,s8,s573,s141,s142,s143,s31,s561,s555,s572,s516,s153,s154,s155,s560,s444,s109,s110,s111,s27,s298,s149,s150,s151,s128]) ).

cnf(s576,plain,
    ( spl0_56
    | spl0_36
    | ~ spl0_49
    | spl0_35
    | spl0_34
    | spl0_45
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s438,s564,s85,s86,s87,s565,s52,s40,s558,s563,s65,s67,s406,s432,s111,s109,s27]) ).

cnf(s577,plain,
    ( spl0_33
    | ~ spl0_25
    | spl0_52
    | ~ spl0_49
    | spl0_35
    | spl0_34
    | ~ spl0_42
    | spl0_45
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s438,s85,s86,s87,s52,s558,s15,s360,s564,s268,s565,s161,s162,s163,s40,s22]) ).

cnf(s578,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | ~ spl0_42 ),
    inference(rat,[],[s542,s534,s129,s130,s131]) ).

cnf(s579,plain,
    ( spl0_36
    | ~ spl0_49
    | spl0_35
    | spl0_34
    | ~ spl0_42
    | spl0_45
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s562,s63,s70,s571,s565,s577,s40,s578,s576,s406,s432,s109,s111,s27]) ).

cnf(s580,plain,
    ( spl0_51
    | ~ spl0_36
    | spl0_54
    | ~ spl0_15 ),
    inference(rat,[],[s320,s423,s153,s154,s155,s59,s58]) ).

cnf(s581,plain,
    ( spl0_35
    | spl0_34
    | ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s516,s153,s154,s155,s39,s474,s550,s181,s182,s183,s360,s69,s268,s565,s161,s162,s163,s40,s22,s438,s578,s85,s86,s87,s36,s33,s65,s41,s375,s558,s347,s580,s579,s45,s570,s17,s57,s519,s133,s134,s135,s19,s411,s125,s126,s127,s128]) ).

cnf(s582,plain,
    ( spl0_34
    | ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s436,s359,s7,s561,s555,s581,s143,s142,s17,s128,s411,s125,s126,s127]) ).

cnf(s583,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s310,s90,s91,s68,s64,s535,s436,s8,s573,s582,s519,s141,s142,s143,s133,s134,s135,s17,s19,s128,s411,s125,s126,s127]) ).

cnf(s584,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s479,s44,s8,s444,s573,s109,s110,s111,s503,s561,s27,s193,s194,s195,s298,s575,s572,s149,s150,s151,s583,s128]) ).

cnf(s585,plain,
    ( ~ spl0_49
    | spl0_4
    | spl0_35
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s33,s496,s558,s536,s53,s576,s579,s485,s44,s444,s109,s110,s111,s27,s298,s149,s150,s151,s196,s503,s193,s194,s195,s1,s584]) ).

cnf(s586,plain,
    ( spl0_56
    | ~ spl0_29
    | spl0_36
    | spl0_34
    | ~ spl0_15 ),
    inference(rat,[],[s448,s410,s173,s175,s65,s67]) ).

cnf(s587,plain,
    ( spl0_4
    | spl0_35
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s410,s537,s173,s174,s175,s33,s496,s536,s586,s45,s585,s298,s149,s150,s151,s196,s1,s584]) ).

cnf(s588,plain,
    ( spl0_35
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s448,s410,s46,s45,s579,s485,s44,s444,s109,s110,s111,s27,s438,s320,s85,s86,s87,s424,s52,s53,s558,s173,s175,s33,s516,s153,s154,s155,s2,s587,s196,s503,s193,s194,s195,s1,s584]) ).

cnf(s589,plain,
    ( spl0_34
    | spl0_1 ),
    inference(rat,[],[s298,s149,s150,s151,s7,s205,s220,s93,s94,s14,s556,s21,s218,s561,s555,s588,s196,s1,s584]) ).

cnf(s590,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(rat,[],[s562,s48,s14,s437,s479,s8,s573,s589,s503,s193,s194,s195,s196,s1]) ).

cnf(s591,plain,
    spl0_1,
    inference(rat,[],[s590,s584]) ).

cnf(s592,plain,
    spl0_15,
    inference(rat,[],[s172,s591]) ).

cnf(s593,plain,
    ~ spl0_132,
    inference(rat,[],[s171,s591]) ).

cnf(s594,plain,
    ~ spl0_131,
    inference(rat,[],[s170,s591]) ).

cnf(s595,plain,
    ~ spl0_130,
    inference(rat,[],[s169,s591]) ).

cnf(s596,plain,
    ~ spl0_49,
    inference(rat,[],[s514,s593,s594,s595]) ).

cnf(s597,plain,
    ( spl0_34
    | spl0_29 ),
    inference(rat,[],[s298,s149,s150,s151,s17,s570,s42,s511,s113,s114,s115,s13,s556,s21,s218,s217,s561,s555,s45,s592,s596]) ).

cnf(s598,plain,
    ( ~ spl0_45
    | spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s496,s31,s394,s570,s151,s150,s149,s592]) ).

cnf(s600,plain,
    ( ~ spl0_14
    | ~ spl0_17 ),
    inference(rat,[],[s487,s81,s82,s83]) ).

cnf(s601,plain,
    ( spl0_7
    | ~ spl0_24
    | ~ spl0_35 ),
    inference(rat,[],[s492,s508,s121,s123]) ).

cnf(s602,plain,
    ( ~ spl0_18
    | ~ spl0_42
    | ~ spl0_35 ),
    inference(rat,[],[s494,s268,s161,s162,s163]) ).

cnf(s603,plain,
    ( spl0_17
    | spl0_45
    | ~ spl0_35 ),
    inference(rat,[],[s511,s113,s114,s115,s10,s602,s42,s592]) ).

cnf(s604,plain,
    ( ~ spl0_24
    | spl0_14
    | ~ spl0_35 ),
    inference(rat,[],[s34,s442,s601,s458,s592,s593,s595]) ).

cnf(s606,plain,
    ( spl0_43
    | ~ spl0_54
    | ~ spl0_48 ),
    inference(rat,[],[s520,s504,s137,s139]) ).

cnf(s607,plain,
    ( ~ spl0_3
    | ~ spl0_48 ),
    inference(rat,[],[s503,s193,s194,s195]) ).

cnf(s608,plain,
    ( spl0_56
    | ~ spl0_48
    | spl0_24
    | ~ spl0_136
    | spl0_137
    | spl0_36 ),
    inference(rat,[],[s38,s606,s473,s68,s67,s607,s592]) ).

cnf(s609,plain,
    ( spl0_4
    | spl0_2 ),
    inference(rat,[],[s388,s535,s141,s142,s143,s31,s496,s536,s608,s53,s511,s113,s114,s115,s13,s604,s177,s178,s6,s600,s603,s598,s298,s149,s150,s151,s555,s45,s573,s347,s380,s597,s411,s127,s126,s125,s592,s596]) ).

cnf(s610,plain,
    spl0_2,
    inference(rat,[],[s535,s574,s436,s519,s141,s142,s143,s133,s134,s135,s17,s19,s7,s609,s555,s45,s411,s125,s126,s127,s592,s596]) ).

cnf(s611,plain,
    ( ~ spl0_17
    | ~ spl0_35 ),
    inference(rat,[],[s535,s388,s68,s44,s141,s142,s143,s519,s442,s31,s133,s134,s135,s450,s497,s37,s48,s488,s511,s562,s93,s95,s113,s114,s115,s14,s13,s604,s600,s555,s592,s593,s595,s594,s610]) ).

cnf(s612,plain,
    ~ spl0_35,
    inference(rat,[],[s220,s205,s93,s94,s29,s7,s5,s485,s598,s570,s607,s603,s9,s611,s555,s592,s610]) ).

cnf(s613,plain,
    spl0_29,
    inference(rat,[],[s45,s596,s592,s612]) ).

cnf(s614,plain,
    ( ~ spl0_46
    | ~ spl0_22 ),
    inference(rat,[],[s438,s85,s86,s87]) ).

cnf(s615,plain,
    ( spl0_46
    | spl0_55 ),
    inference(rat,[],[s558,s52,s62,s612,s592]) ).

cnf(s616,plain,
    ( ~ spl0_17
    | ~ spl0_24 ),
    inference(rat,[],[s615,s614,s524,s508,s121,s122,s123,s34,s409,s600,s442,s458,s592,s595,s593]) ).

cnf(s617,plain,
    ( ~ spl0_24
    | spl0_42 ),
    inference(rat,[],[s485,s607,s42,s9,s616,s592,s610]) ).

cnf(s618,plain,
    ( spl0_24
    | spl0_36 ),
    inference(rat,[],[s483,s121,s122,s123,s34,s442,s450,s48,s600,s562,s29,s14,s592,s593,s595,s594,s610]) ).

cnf(s620,plain,
    ( ~ spl0_133
    | ~ spl0_135
    | ~ spl0_41 ),
    inference(rat,[],[s410,s448,s613]) ).

cnf(s621,plain,
    ( ~ spl0_26
    | ~ spl0_41 ),
    inference(rat,[],[s620,s173,s175]) ).

cnf(s622,plain,
    ( ~ spl0_19
    | ~ spl0_42 ),
    inference(rat,[],[s511,s113,s114,s115]) ).

cnf(s623,plain,
    ( spl0_19
    | spl0_36 ),
    inference(rat,[],[s537,s67,s410,s621,s173,s174,s175,s28,s613,s592]) ).

cnf(s624,plain,
    spl0_36,
    inference(rat,[],[s623,s622,s617,s618]) ).

cnf(s625,plain,
    spl0_24,
    inference(rat,[],[s205,s220,s93,s94,s14,s25,s624,s592,s610,s612]) ).

cnf(s629,plain,
    spl0_42,
    inference(rat,[],[s617,s625]) ).

cnf(s651,plain,
    spl0_4,
    inference(rat,[],[s298,s149,s150,s151,s624]) ).

cnf(s652,plain,
    spl0_5,
    inference(rat,[],[s2,s610,s651]) ).

cnf(s654,plain,
    spl0_120,
    inference(rat,[],[s155,s652]) ).

cnf(s655,plain,
    spl0_119,
    inference(rat,[],[s154,s652]) ).

cnf(s656,plain,
    ~ spl0_118,
    inference(rat,[],[s153,s652]) ).

cnf(s661,plain,
    spl0_171,
    inference(rat,[],[s320,s624,s655,s656]) ).

cnf(s662,plain,
    $false,
    inference(rat,[],[s424,s629,s654,s656,s661]) ).

fof(f2386,plain,
    $false,
    inference(avatar_sat_refutation,[],[s662]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN499+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n009.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:17:30 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.30  % (3197310)Will run a generic schedule for satisfiability detection.
% 0.20/0.30  % (3197315)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=393167518_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30  % (3197316)% WARNING: option uhcvi not known.
% 0.20/0.30  % Detected minimum model sizes of [1]
% 0.20/0.30  % Detected maximum model sizes of [31]
% 0.20/0.30  % TRYING [1]
% 0.20/0.30  % TRYING [2]
% 0.20/0.30  % TRYING [3]
% 0.20/0.30  % (3197316)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2482388024:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30  % (3197317)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1990026171:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30  % (3197318)dis+10_1_sil=32000:sp=arity:random_seed=2174567367:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30  % (3197319)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=885822034:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30  % (3197321)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1497862062:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30  % (3197320)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1060149579:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30  % TRYING [4]
% 0.20/0.30  % (3197321) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3197310-3197321"...
% 0.20/0.30  % TRYING [5]
% 0.20/0.30  % (3197321)...printing done.
% 0.20/0.30  % (3197321)Refutation found. Thanks to Tanya!
% 0.20/0.30  % SZS status Theorem for theBenchmark
% 0.20/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32  % (3197321)------------------------------
% 0.20/0.32  % (3197321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32  % (3197321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32  % (3197321)CaDiCaL version: 2.1.3
% 0.20/0.32  % (3197321)Termination reason: Refutation
% 0.20/0.32  % (3197321)Time elapsed: 0.039 s
% 0.20/0.32  % (3197321)Peak memory usage: 14 MB
% 0.20/0.32  % (3197321)Instructions burned: 64 (million)
% 0.20/0.32  % (3197310)Success in time 0.077 s
% 0.20/0.32  % Vampire exiting
%------------------------------------------------------------------------------