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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN503+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 01:58:56 PM UTC 2026

% Result   : Theorem 2.95s 1.12s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :  152
% Syntax   : Number of formulae    :  975 (  30 unt; 151 def)
%            Number of atoms       : 7121 (   0 equ)
%            Maximal formula atoms :  771 (   7 avg)
%            Number of connectives : 9525 (3379   ~;4616   |; 995   &)
%                                         ( 151 <=>; 384  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  187 ( 186 usr; 183 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  861 (   0 sgn 861   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a213)
          & ~ c1_1(a213)
          & ~ c3_1(a213) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a214)
          & ~ c0_1(a214)
          & ~ c3_1(a214) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a215)
          & ~ c0_1(a215)
          & ~ c1_1(a215) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a216)
          & c1_1(a216)
          & ~ c2_1(a216) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a217)
          & ~ c2_1(a217)
          & ~ c3_1(a217) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c3_1(a218)
          & ~ c1_1(a218)
          & ~ c2_1(a218) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a220)
          & c2_1(a220)
          & ~ c3_1(a220) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a223)
          & c2_1(a223)
          & ~ c0_1(a223) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a225)
          & ~ c0_1(a225)
          & ~ c2_1(a225) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a226)
          & ~ c1_1(a226)
          & ~ c2_1(a226) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a231)
          & c3_1(a231)
          & ~ c0_1(a231) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a236)
          & ~ c2_1(a236)
          & ~ c3_1(a236) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a237)
          & c2_1(a237)
          & ~ c3_1(a237) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a239)
          & c3_1(a239)
          & ~ c1_1(a239) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a241)
          & ~ c0_1(a241)
          & ~ c1_1(a241) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a242)
          & ~ c0_1(a242)
          & ~ c2_1(a242) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a245)
          & ~ c1_1(a245)
          & ~ c3_1(a245) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a248)
          & c3_1(a248)
          & ~ c2_1(a248) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a252)
          & c2_1(a252)
          & ~ c1_1(a252) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a255)
          & ~ c1_1(a255)
          & ~ c3_1(a255) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a257)
          & c1_1(a257)
          & ~ c3_1(a257) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a259)
          & c3_1(a259)
          & ~ c2_1(a259) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a271)
          & ~ c1_1(a271)
          & ~ c2_1(a271) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a274)
          & ~ c0_1(a274)
          & ~ c3_1(a274) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a280)
          & ~ c2_1(a280)
          & ~ c3_1(a280) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a320)
          & c3_1(a320)
          & ~ c0_1(a320) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a234)
          & c1_1(a234)
          & c3_1(a234) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a261)
          & c2_1(a261)
          & c3_1(a261) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a282)
          & c1_1(a282)
          & c2_1(a282) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a296)
          & c2_1(a296)
          & c3_1(a296) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c3_1(X2)
              | ~ c0_1(X2) ) )
        | hskp1 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c2_1(X4)
              | ~ c3_1(X4) ) )
        | hskp2 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | hskp3
        | hskp4 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | ~ c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | ~ c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c2_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | ~ c0_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c2_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c1_1(X16)
              | ~ c3_1(X16) ) )
        | hskp5 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp3
        | hskp6 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp2
        | hskp0 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c3_1(X24)
              | ~ c0_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c2_1(X26)
              | ~ c3_1(X26) ) )
        | hskp7 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | hskp1
        | hskp8 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) )
        | hskp9 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp6
        | hskp5 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp0
        | hskp4 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c1_1(X33)
              | ~ c2_1(X33) ) )
        | hskp10 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c3_1(X35)
              | ~ c0_1(X35) ) )
        | hskp8 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | ~ c0_1(X37) ) )
        | hskp1 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | hskp26 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | hskp5 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c3_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c0_1(X46)
              | ~ c2_1(X46) ) )
        | hskp11 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c1_1(X48)
              | ~ c2_1(X48) ) )
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | hskp3
        | hskp13 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c0_1(X51)
              | ~ c2_1(X51) ) )
        | hskp10 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | ~ c0_1(X53)
              | ~ c1_1(X53) ) )
        | hskp14 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | ~ c3_1(X55) ) )
        | hskp15 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | c3_1(X57)
              | ~ c0_1(X57) ) )
        | hskp26 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp8 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp16
        | hskp7 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | hskp10
        | hskp17 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp10 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp9 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) )
        | hskp1 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | hskp18 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp3
        | hskp6 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | hskp19 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) )
        | hskp8 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | c3_1(X78) ) )
        | hskp20
        | hskp4 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | c3_1(X79) ) )
        | hskp21
        | hskp19 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | c3_1(X80) ) )
        | hskp27
        | hskp2 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | ~ c0_1(X84) ) )
        | hskp18
        | hskp19 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | ~ c0_1(X85) ) )
        | hskp12
        | hskp17 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c2_1(X86)
              | ~ c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | hskp5 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c2_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c1_1(X92)
              | ~ c2_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c3_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c2_1(X95)
              | ~ c3_1(X95) ) )
        | hskp1 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c2_1(X96) ) )
        | hskp12
        | hskp21 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c2_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp22 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c2_1(X100) ) )
        | hskp18 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c0_1(X101)
              | ~ c3_1(X101) ) )
        | hskp26
        | hskp23 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | hskp16
        | hskp4 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c0_1(X103)
              | ~ c3_1(X103) ) )
        | hskp1
        | hskp19 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp15
        | hskp24 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | hskp5 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c2_1(X109)
              | ~ c3_1(X109) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c1_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) )
        | hskp28 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | c3_1(X112)
              | ~ c1_1(X112) ) )
        | hskp26
        | hskp9 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) ) )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c0_1(X116)
              | ~ c3_1(X116) ) )
        | hskp3
        | hskp27 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c1_1(X117) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c2_1(X118)
              | ~ c3_1(X118) ) )
        | hskp28 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c0_1(X119)
              | ~ c2_1(X119) ) )
        | hskp7
        | hskp6 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c2_1(X121)
              | ~ c3_1(X121) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c1_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) ) )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c2_1(X123) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp22 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c0_1(X125)
              | ~ c1_1(X125)
              | ~ c3_1(X125) ) )
        | hskp27
        | hskp2 )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c0_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) )
        | hskp10
        | hskp8 )
      & ( ! [X127] :
            ( ndr1_0
           => ( ~ c1_1(X127)
              | ~ c2_1(X127)
              | ~ c3_1(X127) ) )
        | hskp26
        | hskp29 )
      & ( hskp3
        | hskp16 )
      & ( hskp20
        | hskp11
        | hskp1 )
      & ( hskp20
        | hskp10
        | hskp2 )
      & ( hskp20
        | hskp23
        | hskp4 )
      & ( hskp18
        | hskp9
        | hskp22 )
      & ( hskp18
        | hskp27
        | hskp17 )
      & ( hskp12
        | hskp16
        | hskp13 )
      & ( hskp12
        | hskp1
        | hskp0 )
      & ( hskp25
        | hskp19 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a213)
            & ~ c1_1(a213)
            & ~ c3_1(a213) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a214)
            & ~ c0_1(a214)
            & ~ c3_1(a214) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a215)
            & ~ c0_1(a215)
            & ~ c1_1(a215) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a216)
            & c1_1(a216)
            & ~ c2_1(a216) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a217)
            & ~ c2_1(a217)
            & ~ c3_1(a217) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c3_1(a218)
            & ~ c1_1(a218)
            & ~ c2_1(a218) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a220)
            & c2_1(a220)
            & ~ c3_1(a220) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a223)
            & c2_1(a223)
            & ~ c0_1(a223) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a225)
            & ~ c0_1(a225)
            & ~ c2_1(a225) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a226)
            & ~ c1_1(a226)
            & ~ c2_1(a226) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a231)
            & c3_1(a231)
            & ~ c0_1(a231) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a236)
            & ~ c2_1(a236)
            & ~ c3_1(a236) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a237)
            & c2_1(a237)
            & ~ c3_1(a237) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a239)
            & c3_1(a239)
            & ~ c1_1(a239) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a241)
            & ~ c0_1(a241)
            & ~ c1_1(a241) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a242)
            & ~ c0_1(a242)
            & ~ c2_1(a242) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a245)
            & ~ c1_1(a245)
            & ~ c3_1(a245) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a248)
            & c3_1(a248)
            & ~ c2_1(a248) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a252)
            & c2_1(a252)
            & ~ c1_1(a252) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a255)
            & ~ c1_1(a255)
            & ~ c3_1(a255) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a257)
            & c1_1(a257)
            & ~ c3_1(a257) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a259)
            & c3_1(a259)
            & ~ c2_1(a259) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a271)
            & ~ c1_1(a271)
            & ~ c2_1(a271) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a274)
            & ~ c0_1(a274)
            & ~ c3_1(a274) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a280)
            & ~ c2_1(a280)
            & ~ c3_1(a280) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a320)
            & c3_1(a320)
            & ~ c0_1(a320) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a234)
            & c1_1(a234)
            & c3_1(a234) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a261)
            & c2_1(a261)
            & c3_1(a261) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a282)
            & c1_1(a282)
            & c2_1(a282) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a296)
            & c2_1(a296)
            & c3_1(a296) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c3_1(X2)
                | ~ c0_1(X2) ) )
          | hskp1 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp2 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | hskp3
          | hskp4 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c2_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c0_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c1_1(X16)
                | ~ c3_1(X16) ) )
          | hskp5 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp3
          | hskp6 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp2
          | hskp0 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c2_1(X26)
                | ~ c3_1(X26) ) )
          | hskp7 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | hskp1
          | hskp8 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp9 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp6
          | hskp5 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp0
          | hskp4 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | hskp10 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) )
          | hskp8 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | ~ c0_1(X37) ) )
          | hskp1 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | hskp26 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp5 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c3_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c0_1(X46)
                | ~ c2_1(X46) ) )
          | hskp11 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | hskp3
          | hskp13 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | ~ c2_1(X51) ) )
          | hskp10 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c0_1(X53)
                | ~ c1_1(X53) ) )
          | hskp14 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | ~ c3_1(X55) ) )
          | hskp15 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | c3_1(X57)
                | ~ c0_1(X57) ) )
          | hskp26 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp8 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp16
          | hskp7 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp10
          | hskp17 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp10 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp9 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | hskp1 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | hskp18 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp3
          | hskp6 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | hskp19 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) )
          | hskp8 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) )
          | hskp20
          | hskp4 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | c3_1(X79) ) )
          | hskp21
          | hskp19 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | c3_1(X80) ) )
          | hskp27
          | hskp2 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | ~ c0_1(X84) ) )
          | hskp18
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | ~ c0_1(X85) ) )
          | hskp12
          | hskp17 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | ~ c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp5 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c1_1(X92)
                | ~ c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c2_1(X95)
                | ~ c3_1(X95) ) )
          | hskp1 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c2_1(X96) ) )
          | hskp12
          | hskp21 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp22 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c2_1(X100) ) )
          | hskp18 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | hskp26
          | hskp23 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | hskp16
          | hskp4 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c0_1(X103)
                | ~ c3_1(X103) ) )
          | hskp1
          | hskp19 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp15
          | hskp24 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp5 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp28 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c3_1(X112)
                | ~ c1_1(X112) ) )
          | hskp26
          | hskp9 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c0_1(X116)
                | ~ c3_1(X116) ) )
          | hskp3
          | hskp27 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c1_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c2_1(X118)
                | ~ c3_1(X118) ) )
          | hskp28 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c0_1(X119)
                | ~ c2_1(X119) ) )
          | hskp7
          | hskp6 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c2_1(X121)
                | ~ c3_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp22 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | ~ c1_1(X125)
                | ~ c3_1(X125) ) )
          | hskp27
          | hskp2 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c0_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp10
          | hskp8 )
        & ( ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | ~ c2_1(X127)
                | ~ c3_1(X127) ) )
          | hskp26
          | hskp29 )
        & ( hskp3
          | hskp16 )
        & ( hskp20
          | hskp11
          | hskp1 )
        & ( hskp20
          | hskp10
          | hskp2 )
        & ( hskp20
          | hskp23
          | hskp4 )
        & ( hskp18
          | hskp9
          | hskp22 )
        & ( hskp18
          | hskp27
          | hskp17 )
        & ( hskp12
          | hskp16
          | hskp13 )
        & ( hskp12
          | hskp1
          | hskp0 )
        & ( hskp25
          | hskp19 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a213)
        & ~ c1_1(a213)
        & ~ c3_1(a213) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a214)
        & ~ c0_1(a214)
        & ~ c3_1(a214) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a215)
        & ~ c0_1(a215)
        & ~ c1_1(a215) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a217)
        & ~ c2_1(a217)
        & ~ c3_1(a217) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a218)
        & ~ c1_1(a218)
        & ~ c2_1(a218) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a220)
        & c2_1(a220)
        & ~ c3_1(a220) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a223)
        & c2_1(a223)
        & ~ c0_1(a223) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a225)
        & ~ c0_1(a225)
        & ~ c2_1(a225) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a226)
        & ~ c1_1(a226)
        & ~ c2_1(a226) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a231)
        & c3_1(a231)
        & ~ c0_1(a231) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a236)
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a237)
        & c2_1(a237)
        & ~ c3_1(a237) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a239)
        & c3_1(a239)
        & ~ c1_1(a239) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a241)
        & ~ c0_1(a241)
        & ~ c1_1(a241) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a242)
        & ~ c0_1(a242)
        & ~ c2_1(a242) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a245)
        & ~ c1_1(a245)
        & ~ c3_1(a245) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a248)
        & c3_1(a248)
        & ~ c2_1(a248) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a252)
        & c2_1(a252)
        & ~ c1_1(a252) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a255)
        & ~ c1_1(a255)
        & ~ c3_1(a255) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a257)
        & c1_1(a257)
        & ~ c3_1(a257) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a259)
        & c3_1(a259)
        & ~ c2_1(a259) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ~ c2_1(a271) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a274)
        & ~ c0_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280)
        & ~ c3_1(a280) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a320)
        & c3_1(a320)
        & ~ c0_1(a320) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a234)
        & c1_1(a234)
        & c3_1(a234) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a261)
        & c2_1(a261)
        & c3_1(a261) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a282)
        & c1_1(a282)
        & c2_1(a282) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a296)
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | hskp0 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c3_1(X2)
            | ~ c0_1(X2) ) )
      | hskp1 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp2 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | hskp3
      | hskp4 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c2_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | c2_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c0_1(X11)
            | ~ c1_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | ~ c0_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c2_1(X14)
            | ~ c3_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c1_1(X16)
            | ~ c3_1(X16) ) )
      | hskp5 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp3
      | hskp6 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c2_1(X21) ) )
      | hskp2
      | hskp0 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | ~ c2_1(X26)
            | ~ c3_1(X26) ) )
      | hskp7 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | hskp1
      | hskp8 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | ~ c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp9 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp6
      | hskp5 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | hskp0
      | hskp4 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c1_1(X33)
            | ~ c2_1(X33) ) )
      | hskp10 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c3_1(X35)
            | ~ c0_1(X35) ) )
      | hskp8 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c2_1(X37)
            | ~ c0_1(X37) ) )
      | hskp1 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | ~ c1_1(X39)
            | ~ c2_1(X39) ) )
      | hskp26 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) )
      | hskp5 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c3_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | ~ c0_1(X46)
            | ~ c2_1(X46) ) )
      | hskp11 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | ~ c1_1(X48)
            | ~ c2_1(X48) ) )
      | hskp12 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c1_1(X49) ) )
      | hskp3
      | hskp13 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | ~ c0_1(X51)
            | ~ c2_1(X51) ) )
      | hskp10 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | ~ c0_1(X53)
            | ~ c1_1(X53) ) )
      | hskp14 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c2_1(X55)
            | ~ c3_1(X55) ) )
      | hskp15 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | c3_1(X57)
            | ~ c0_1(X57) ) )
      | hskp26 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c0_1(X59)
            | ~ c1_1(X59) ) )
      | hskp8 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | hskp16
      | hskp7 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) )
      | hskp10
      | hskp17 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp10 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp9 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c3_1(X67)
            | ~ c1_1(X67) ) )
      | hskp1 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | hskp18 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c3_1(X70) ) )
      | hskp3
      | hskp6 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c2_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c3_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | hskp19 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c3_1(X77)
            | ~ c1_1(X77) ) )
      | hskp8 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | c3_1(X78) ) )
      | hskp20
      | hskp4 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | c3_1(X79) ) )
      | hskp21
      | hskp19 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | c3_1(X80) ) )
      | hskp27
      | hskp2 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c2_1(X81)
            | ~ c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c3_1(X82)
            | ~ c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | ~ c0_1(X84) ) )
      | hskp18
      | hskp19 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | ~ c0_1(X85) ) )
      | hskp12
      | hskp17 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c2_1(X86)
            | ~ c3_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c0_1(X87) ) )
      | hskp5 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c1_1(X92)
            | ~ c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c2_1(X93)
            | ~ c3_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c3_1(X94)
            | ~ c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c2_1(X95)
            | ~ c3_1(X95) ) )
      | hskp1 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c3_1(X96)
            | ~ c2_1(X96) ) )
      | hskp12
      | hskp21 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c0_1(X97)
            | ~ c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp22 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c0_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c2_1(X100) ) )
      | hskp18 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c0_1(X101)
            | ~ c3_1(X101) ) )
      | hskp26
      | hskp23 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c0_1(X102)
            | ~ c3_1(X102) ) )
      | hskp16
      | hskp4 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c0_1(X103)
            | ~ c3_1(X103) ) )
      | hskp1
      | hskp19 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp15
      | hskp24 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c3_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c0_1(X106)
            | ~ c1_1(X106) ) )
      | hskp5 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c2_1(X109)
            | ~ c3_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c3_1(X110)
            | ~ c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c3_1(X111) ) )
      | hskp28 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c3_1(X112)
            | ~ c1_1(X112) ) )
      | hskp26
      | hskp9 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c1_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c2_1(X115)
            | ~ c3_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c0_1(X116)
            | ~ c3_1(X116) ) )
      | hskp3
      | hskp27 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c1_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c1_1(X118)
            | ~ c2_1(X118)
            | ~ c3_1(X118) ) )
      | hskp28 )
    & ( ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | ~ c0_1(X119)
            | ~ c2_1(X119) ) )
      | hskp7
      | hskp6 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c0_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c0_1(X121)
            | ~ c2_1(X121)
            | ~ c3_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c1_1(X122)
            | ~ c2_1(X122)
            | ~ c3_1(X122) ) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c1_1(X123)
            | ~ c2_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | ~ c2_1(X124)
            | ~ c3_1(X124) ) )
      | hskp22 )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c0_1(X125)
            | ~ c1_1(X125)
            | ~ c3_1(X125) ) )
      | hskp27
      | hskp2 )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c0_1(X126)
            | ~ c2_1(X126)
            | ~ c3_1(X126) ) )
      | hskp10
      | hskp8 )
    & ( ! [X127] :
          ( ndr1_0
         => ( ~ c1_1(X127)
            | ~ c2_1(X127)
            | ~ c3_1(X127) ) )
      | hskp26
      | hskp29 )
    & ( hskp3
      | hskp16 )
    & ( hskp20
      | hskp11
      | hskp1 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( hskp20
      | hskp23
      | hskp4 )
    & ( hskp18
      | hskp9
      | hskp22 )
    & ( hskp18
      | hskp27
      | hskp17 )
    & ( hskp12
      | hskp16
      | hskp13 )
    & ( hskp12
      | hskp1
      | hskp0 )
    & ( hskp25
      | hskp19 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a213)
        & ~ c1_1(a213)
        & ~ c3_1(a213) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a214)
        & ~ c0_1(a214)
        & ~ c3_1(a214) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a215)
        & ~ c0_1(a215)
        & ~ c1_1(a215) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a217)
        & ~ c2_1(a217)
        & ~ c3_1(a217) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a218)
        & ~ c1_1(a218)
        & ~ c2_1(a218) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a220)
        & c2_1(a220)
        & ~ c3_1(a220) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a223)
        & c2_1(a223)
        & ~ c0_1(a223) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a225)
        & ~ c0_1(a225)
        & ~ c2_1(a225) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a226)
        & ~ c1_1(a226)
        & ~ c2_1(a226) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a231)
        & c3_1(a231)
        & ~ c0_1(a231) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a236)
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a237)
        & c2_1(a237)
        & ~ c3_1(a237) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a239)
        & c3_1(a239)
        & ~ c1_1(a239) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a241)
        & ~ c0_1(a241)
        & ~ c1_1(a241) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a242)
        & ~ c0_1(a242)
        & ~ c2_1(a242) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a245)
        & ~ c1_1(a245)
        & ~ c3_1(a245) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a248)
        & c3_1(a248)
        & ~ c2_1(a248) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a252)
        & c2_1(a252)
        & ~ c1_1(a252) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a255)
        & ~ c1_1(a255)
        & ~ c3_1(a255) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a257)
        & c1_1(a257)
        & ~ c3_1(a257) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a259)
        & c3_1(a259)
        & ~ c2_1(a259) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ~ c2_1(a271) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a274)
        & ~ c0_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280)
        & ~ c3_1(a280) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a320)
        & c3_1(a320)
        & ~ c0_1(a320) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a234)
        & c1_1(a234)
        & c3_1(a234) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a261)
        & c2_1(a261)
        & c3_1(a261) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a282)
        & c1_1(a282)
        & c2_1(a282) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a296)
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | c3_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | ~ c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp3
      | hskp6 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp6
      | hskp5 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp16
      | hskp7 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp10
      | hskp17 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp3
      | hskp6 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | hskp20
      | hskp4 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | hskp21
      | hskp19 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | hskp27
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp12
      | hskp17 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c1_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | hskp12
      | hskp21 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp16
      | hskp4 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c0_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp1
      | hskp19 )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X112] :
          ( c2_1(X112)
          | c3_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp26
      | hskp9 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp3
      | hskp27 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X125] :
          ( ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp27
      | hskp2 )
    & ( ! [X126] :
          ( ~ c0_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp10
      | hskp8 )
    & ( ! [X127] :
          ( ~ c1_1(X127)
          | ~ c2_1(X127)
          | ~ c3_1(X127)
          | ~ ndr1_0 )
      | hskp26
      | hskp29 )
    & ( hskp3
      | hskp16 )
    & ( hskp20
      | hskp11
      | hskp1 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( hskp20
      | hskp23
      | hskp4 )
    & ( hskp18
      | hskp9
      | hskp22 )
    & ( hskp18
      | hskp27
      | hskp17 )
    & ( hskp12
      | hskp16
      | hskp13 )
    & ( hskp12
      | hskp1
      | hskp0 )
    & ( hskp25
      | hskp19 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a213)
        & ~ c1_1(a213)
        & ~ c3_1(a213) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a214)
        & ~ c0_1(a214)
        & ~ c3_1(a214) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a215)
        & ~ c0_1(a215)
        & ~ c1_1(a215) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a216)
        & c1_1(a216)
        & ~ c2_1(a216) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a217)
        & ~ c2_1(a217)
        & ~ c3_1(a217) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a218)
        & ~ c1_1(a218)
        & ~ c2_1(a218) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a220)
        & c2_1(a220)
        & ~ c3_1(a220) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a223)
        & c2_1(a223)
        & ~ c0_1(a223) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a225)
        & ~ c0_1(a225)
        & ~ c2_1(a225) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a226)
        & ~ c1_1(a226)
        & ~ c2_1(a226) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a231)
        & c3_1(a231)
        & ~ c0_1(a231) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a236)
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a237)
        & c2_1(a237)
        & ~ c3_1(a237) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a239)
        & c3_1(a239)
        & ~ c1_1(a239) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a241)
        & ~ c0_1(a241)
        & ~ c1_1(a241) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a242)
        & ~ c0_1(a242)
        & ~ c2_1(a242) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a245)
        & ~ c1_1(a245)
        & ~ c3_1(a245) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a248)
        & c3_1(a248)
        & ~ c2_1(a248) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a252)
        & c2_1(a252)
        & ~ c1_1(a252) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a255)
        & ~ c1_1(a255)
        & ~ c3_1(a255) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a257)
        & c1_1(a257)
        & ~ c3_1(a257) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a259)
        & c3_1(a259)
        & ~ c2_1(a259) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ~ c2_1(a271) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a274)
        & ~ c0_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a280)
        & ~ c2_1(a280)
        & ~ c3_1(a280) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a320)
        & c3_1(a320)
        & ~ c0_1(a320) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a234)
        & c1_1(a234)
        & c3_1(a234) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a261)
        & c2_1(a261)
        & c3_1(a261) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a282)
        & c1_1(a282)
        & c2_1(a282) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a296)
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | c3_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | ~ c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp3
      | hskp6 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp6
      | hskp5 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp16
      | hskp7 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp10
      | hskp17 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp3
      | hskp6 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | hskp20
      | hskp4 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | hskp21
      | hskp19 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | hskp27
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp12
      | hskp17 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c1_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | hskp12
      | hskp21 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp16
      | hskp4 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c0_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp1
      | hskp19 )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X112] :
          ( c2_1(X112)
          | c3_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp26
      | hskp9 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp3
      | hskp27 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X125] :
          ( ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp27
      | hskp2 )
    & ( ! [X126] :
          ( ~ c0_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp10
      | hskp8 )
    & ( ! [X127] :
          ( ~ c1_1(X127)
          | ~ c2_1(X127)
          | ~ c3_1(X127)
          | ~ ndr1_0 )
      | hskp26
      | hskp29 )
    & ( hskp3
      | hskp16 )
    & ( hskp20
      | hskp11
      | hskp1 )
    & ( hskp20
      | hskp10
      | hskp2 )
    & ( hskp20
      | hskp23
      | hskp4 )
    & ( hskp18
      | hskp9
      | hskp22 )
    & ( hskp18
      | hskp27
      | hskp17 )
    & ( hskp12
      | hskp16
      | hskp13 )
    & ( hskp12
      | hskp1
      | hskp0 )
    & ( hskp25
      | hskp19 ) ),
    inference(flattening,[],[f4]) ).

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

fof(f7,plain,
    ( hskp12
    | hskp1
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp12
    | hskp16
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp18
    | hskp27
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp3
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X127] :
      ( ~ c1_1(X127)
      | ~ c2_1(X127)
      | ~ c3_1(X127)
      | ~ ndr1_0
      | hskp26
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X125] :
      ( ~ c0_1(X125)
      | ~ c1_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | hskp27
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X119] :
      ( c3_1(X119)
      | ~ c0_1(X119)
      | ~ c2_1(X119)
      | ~ ndr1_0
      | hskp7
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X116] :
      ( c2_1(X116)
      | ~ c0_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | hskp3
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X113,X114,X115] :
      ( c2_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | c3_1(X114)
      | ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ ndr1_0
      | ~ c1_1(X115)
      | ~ c2_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X112] :
      ( c2_1(X112)
      | c3_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | hskp26
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X108,X109,X107] :
      ( c2_1(X107)
      | c3_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | c3_1(X108)
      | ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | ~ c0_1(X109)
      | ~ c2_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X106,X105] :
      ( c2_1(X105)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | c2_1(X106)
      | ~ c0_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X104] :
      ( c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X103] :
      ( c1_1(X103)
      | ~ c0_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp1
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X101] :
      ( c1_1(X101)
      | ~ c0_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | hskp26
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c0_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c2_1(X100)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X96] :
      ( c1_1(X96)
      | c3_1(X96)
      | ~ c2_1(X96)
      | ~ ndr1_0
      | hskp12
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | c3_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | c1_1(X95)
      | ~ c2_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X91,X92,X93] :
      ( c1_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | ~ c1_1(X93)
      | ~ c2_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | c1_1(X89)
      | c3_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X84] :
      ( c1_1(X84)
      | c2_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X82,X83,X81] :
      ( c1_1(X81)
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | c1_1(X82)
      | c3_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X80] :
      ( c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | hskp27
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X79] :
      ( c1_1(X79)
      | c2_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | hskp21
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c2_1(X77)
      | c3_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X74,X75] :
      ( c0_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X72,X73,X71] :
      ( c0_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X70] :
      ( c0_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c2_1(X57)
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c3_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | ~ c0_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c3_1(X43)
      | ~ c0_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | ~ c2_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | c2_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | c3_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ! [X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ! [X2,X1] :
      ( c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c2_1(X2)
      | c3_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a296) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c2_1(a296) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c0_1(a296) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c2_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c1_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c0_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c3_1(a261) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c2_1(a261) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | c1_1(a261) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | c3_1(a234) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | c1_1(a234) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | c0_1(a234) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c0_1(a320) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | c3_1(a320) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c2_1(a320) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c3_1(a280) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | ~ c2_1(a280) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c1_1(a280) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp23
    | ~ c3_1(a274) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp23
    | ~ c0_1(a274) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp23
    | c1_1(a274) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c2_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | c3_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c0_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c3_1(a255) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | ~ c1_1(a255) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | ~ c0_1(a255) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c1_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | c2_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c0_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c2_1(a248) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | c3_1(a248) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | c1_1(a248) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c3_1(a245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | ~ c1_1(a245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | c0_1(a245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c2_1(a242) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | ~ c0_1(a242) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c1_1(a242) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c1_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | c3_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c2_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c3_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | c2_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c0_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c0_1(a231) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | c3_1(a231) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c1_1(a231) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c2_1(a226) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp9
    | ~ c1_1(a226) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp9
    | c0_1(a226) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c2_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | ~ c0_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c3_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c0_1(a223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | c2_1(a223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c1_1(a223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp6
    | ~ c3_1(a220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp6
    | c2_1(a220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp6
    | c1_1(a220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c2_1(a218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | ~ c1_1(a218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c3_1(a218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c3_1(a217) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | ~ c2_1(a217) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | ~ c1_1(a217) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c2_1(a216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | c1_1(a216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | c0_1(a216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c1_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | ~ c0_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c2_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c3_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | ~ c0_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c2_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c3_1(a213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | ~ c1_1(a213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c2_1(a213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f209,plain,
    ! [X113,X114,X115] :
      ( c2_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | c3_1(X114)
      | ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ c1_1(X115)
      | ~ c2_1(X115)
      | ~ c3_1(X115) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f210,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c3_1(X111)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f211,plain,
    ! [X108,X109,X107] :
      ( c2_1(X107)
      | c3_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | c3_1(X108)
      | ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ c0_1(X109)
      | ~ c2_1(X109)
      | ~ c3_1(X109) ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f212,plain,
    ! [X106,X105] :
      ( c2_1(X105)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | c2_1(X106)
      | ~ c0_1(X106)
      | ~ c1_1(X106)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f213,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c0_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c2_1(X100)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f215,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | c3_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | c1_1(X95)
      | ~ c2_1(X95)
      | ~ c3_1(X95)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f216,plain,
    ! [X91,X92,X93] :
      ( c1_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ c1_1(X93)
      | ~ c2_1(X93)
      | ~ c3_1(X93) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f217,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | c1_1(X89)
      | c3_1(X89)
      | ~ c2_1(X89)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f219,plain,
    ! [X82,X83,X81] :
      ( c1_1(X81)
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | c1_1(X82)
      | c3_1(X82)
      | ~ c2_1(X82)
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f220,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | c2_1(X77)
      | c3_1(X77)
      | ~ c1_1(X77)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f221,plain,
    ! [X74,X75] :
      ( c0_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f222,plain,
    ! [X72,X73,X71] :
      ( c0_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f223,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f225,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f228,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c2_1(X57)
      | c3_1(X57)
      | ~ c0_1(X57)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f231,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c3_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | ~ c0_1(X51)
      | ~ c2_1(X51)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f232,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ c2_1(X48)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f234,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c3_1(X43)
      | ~ c0_1(X43)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f236,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f238,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | ~ c0_1(X35)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f242,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | c1_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f243,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | ~ c2_1(X18)
      | ~ c3_1(X18)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f244,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f245,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ c3_1(X13)
      | ~ c0_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f246,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | c2_1(X10)
      | ~ c3_1(X10)
      | c3_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f248,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f249,plain,
    ! [X2,X1] :
      ( c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c2_1(X2)
      | c3_1(X2)
      | ~ c0_1(X2)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f251,definition,
    ( spl0_1
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_2
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f256,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f254,f251]) ).

fof(f258,definition,
    ( spl0_3
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_4
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_5
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f266,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f264,f261,f258]) ).

fof(f268,definition,
    ( spl0_6
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_7
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f273,plain,
    ( spl0_6
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f8,f264,f271,f268]) ).

fof(f275,definition,
    ( spl0_8
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_9
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f281,definition,
    ( spl0_10
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f283,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f281,f278,f275]) ).

fof(f288,definition,
    ( spl0_12
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_13
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_14
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_16
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_17
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_19
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f315,plain,
    ( spl0_7
    | spl0_19 ),
    inference(avatar_split_clause,[],[f14,f313,f271]) ).

fof(f317,definition,
    ( spl0_20
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f320,definition,
    ( spl0_21
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f323,definition,
    ( spl0_22
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f326,definition,
    ( spl0_23
  <=> ! [X127] :
        ( ~ c1_1(X127)
        | ~ c3_1(X127)
        | ~ c2_1(X127) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f327,plain,
    ( ! [X127] :
        ( ~ c2_1(X127)
        | ~ c3_1(X127)
        | ~ c1_1(X127) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f328,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f15,f326,f323,f320,f317]) ).

fof(f330,definition,
    ( spl0_24
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_25
  <=> ! [X126] :
        ( ~ c0_1(X126)
        | ~ c3_1(X126)
        | ~ c2_1(X126) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X126] :
        ( ~ c0_1(X126)
        | ~ c3_1(X126)
        | ~ c2_1(X126) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f337,definition,
    ( spl0_26
  <=> ! [X125] :
        ( ~ c0_1(X125)
        | ~ c3_1(X125)
        | ~ c1_1(X125) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X125] :
        ( ~ c0_1(X125)
        | ~ c3_1(X125)
        | ~ c1_1(X125) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_16
    | spl0_9
    | ~ spl0_22
    | spl0_26 ),
    inference(avatar_split_clause,[],[f17,f337,f323,f278,f302]) ).

fof(f346,definition,
    ( spl0_28
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f349,definition,
    ( spl0_29
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f352,definition,
    ( spl0_30
  <=> ! [X119] :
        ( c3_1(X119)
        | ~ c2_1(X119)
        | ~ c0_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X119] :
        ( ~ c0_1(X119)
        | ~ c2_1(X119)
        | c3_1(X119) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f354,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_22
    | spl0_30 ),
    inference(avatar_split_clause,[],[f20,f352,f323,f349,f346]) ).

fof(f356,definition,
    ( spl0_31
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f359,definition,
    ( spl0_32
  <=> ! [X117] :
        ( c3_1(X117)
        | ~ c1_1(X117)
        | ~ c0_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X117] :
        ( ~ c0_1(X117)
        | ~ c1_1(X117)
        | c3_1(X117) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f363,definition,
    ( spl0_33
  <=> ! [X116] :
        ( c2_1(X116)
        | ~ c3_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X116] :
        ( ~ c0_1(X116)
        | ~ c3_1(X116)
        | c2_1(X116) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_9
    | spl0_19
    | ~ spl0_22
    | spl0_33 ),
    inference(avatar_split_clause,[],[f22,f363,f323,f313,f278]) ).

fof(f367,definition,
    ( spl0_34
  <=> ! [X113] :
        ( c2_1(X113)
        | ~ c1_1(X113)
        | ~ c0_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X113] :
        ( ~ c0_1(X113)
        | ~ c1_1(X113)
        | c2_1(X113) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_23
    | spl0_32
    | ~ spl0_22
    | spl0_34 ),
    inference(avatar_split_clause,[],[f209,f367,f323,f359,f326]) ).

fof(f371,definition,
    ( spl0_35
  <=> ! [X112] :
        ( c2_1(X112)
        | ~ c1_1(X112)
        | c3_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X112] :
        ( c2_1(X112)
        | ~ c1_1(X112)
        | c3_1(X112) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f373,plain,
    ( spl0_12
    | spl0_21
    | ~ spl0_22
    | spl0_35 ),
    inference(avatar_split_clause,[],[f24,f371,f323,f320,f288]) ).

fof(f374,plain,
    ( spl0_31
    | spl0_26
    | ~ spl0_22
    | spl0_35 ),
    inference(avatar_split_clause,[],[f210,f371,f323,f337,f356]) ).

fof(f375,plain,
    ( spl0_25
    | spl0_32
    | ~ spl0_22
    | spl0_35 ),
    inference(avatar_split_clause,[],[f211,f371,f323,f359,f333]) ).

fof(f377,definition,
    ( spl0_36
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f380,definition,
    ( spl0_37
  <=> ! [X105] :
        ( c2_1(X105)
        | ~ c0_1(X105)
        | c3_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X105] :
        ( ~ c0_1(X105)
        | c2_1(X105)
        | c3_1(X105) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f382,plain,
    ( spl0_36
    | spl0_34
    | ~ spl0_22
    | spl0_37 ),
    inference(avatar_split_clause,[],[f212,f380,f323,f367,f377]) ).

fof(f384,definition,
    ( spl0_38
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_39
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f390,definition,
    ( spl0_40
  <=> ! [X104] :
        ( c1_1(X104)
        | ~ c3_1(X104)
        | ~ c2_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X104] :
        ( ~ c2_1(X104)
        | ~ c3_1(X104)
        | c1_1(X104) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_38
    | spl0_39
    | ~ spl0_22
    | spl0_40 ),
    inference(avatar_split_clause,[],[f28,f390,f323,f387,f384]) ).

fof(f394,definition,
    ( spl0_41
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c0_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X103] :
        ( ~ c0_1(X103)
        | ~ c3_1(X103)
        | c1_1(X103) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f396,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_22
    | spl0_41 ),
    inference(avatar_split_clause,[],[f29,f394,f323,f261,f251]) ).

fof(f398,plain,
    ( spl0_14
    | spl0_21
    | ~ spl0_22
    | spl0_41 ),
    inference(avatar_split_clause,[],[f31,f394,f323,f320,f295]) ).

fof(f399,plain,
    ( spl0_10
    | spl0_30
    | ~ spl0_22
    | spl0_41 ),
    inference(avatar_split_clause,[],[f213,f394,f323,f352,f281]) ).

fof(f401,definition,
    ( spl0_42
  <=> ! [X97] :
        ( c1_1(X97)
        | ~ c2_1(X97)
        | ~ c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X97] :
        ( ~ c0_1(X97)
        | ~ c2_1(X97)
        | c1_1(X97) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f405,definition,
    ( spl0_43
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f408,definition,
    ( spl0_44
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c2_1(X96)
        | c3_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X96] :
        ( ~ c2_1(X96)
        | c1_1(X96)
        | c3_1(X96) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( spl0_43
    | spl0_5
    | ~ spl0_22
    | spl0_44 ),
    inference(avatar_split_clause,[],[f34,f408,f323,f264,f405]) ).

fof(f411,plain,
    ( spl0_4
    | spl0_40
    | ~ spl0_22
    | spl0_44 ),
    inference(avatar_split_clause,[],[f215,f408,f323,f390,f261]) ).

fof(f413,definition,
    ( spl0_45
  <=> ! [X92] :
        ( c3_1(X92)
        | ~ c2_1(X92)
        | ~ c1_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X92] :
        ( ~ c2_1(X92)
        | c3_1(X92)
        | ~ c1_1(X92) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,definition,
    ( spl0_46
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c0_1(X91)
        | c3_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X91] :
        ( ~ c0_1(X91)
        | c1_1(X91)
        | c3_1(X91) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_23
    | spl0_45
    | ~ spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f216,f416,f323,f413,f326]) ).

fof(f419,plain,
    ( spl0_33
    | spl0_44
    | ~ spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f217,f416,f323,f408,f363]) ).

fof(f421,definition,
    ( spl0_47
  <=> ! [X86] :
        ( c1_1(X86)
        | ~ c3_1(X86)
        | c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | ~ c3_1(X86)
        | c1_1(X86) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f425,definition,
    ( spl0_48
  <=> ! [X85] :
        ( c1_1(X85)
        | ~ c0_1(X85)
        | c2_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | c1_1(X85)
        | c2_1(X85) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_22
    | spl0_48 ),
    inference(avatar_split_clause,[],[f40,f425,f323,f281,f251]) ).

fof(f430,definition,
    ( spl0_49
  <=> ! [X83] :
        ( c2_1(X83)
        | ~ c3_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X83] :
        ( c2_1(X83)
        | ~ c3_1(X83)
        | ~ c1_1(X83) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl0_49
    | spl0_44
    | ~ spl0_22
    | spl0_48 ),
    inference(avatar_split_clause,[],[f219,f425,f323,f408,f430]) ).

fof(f434,definition,
    ( spl0_50
  <=> ! [X80] :
        ( c1_1(X80)
        | c3_1(X80)
        | c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | c3_1(X80)
        | c1_1(X80) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f436,plain,
    ( spl0_16
    | spl0_9
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f42,f434,f323,f278,f302]) ).

fof(f437,plain,
    ( spl0_1
    | spl0_43
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f43,f434,f323,f405,f251]) ).

fof(f439,plain,
    ( spl0_24
    | spl0_35
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f220,f434,f323,f371,f330]) ).

fof(f441,definition,
    ( spl0_51
  <=> ! [X74] :
        ( c0_1(X74)
        | ~ c3_1(X74)
        | ~ c2_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X74] :
        ( c0_1(X74)
        | ~ c3_1(X74)
        | ~ c2_1(X74) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( spl0_1
    | spl0_35
    | ~ spl0_22
    | spl0_51 ),
    inference(avatar_split_clause,[],[f221,f441,f323,f371,f251]) ).

fof(f444,plain,
    ( spl0_25
    | spl0_44
    | ~ spl0_22
    | spl0_51 ),
    inference(avatar_split_clause,[],[f222,f441,f323,f408,f333]) ).

fof(f446,definition,
    ( spl0_52
  <=> ! [X70] :
        ( c0_1(X70)
        | ~ c3_1(X70)
        | ~ c1_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X70] :
        ( c0_1(X70)
        | ~ c3_1(X70)
        | ~ c1_1(X70) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_28
    | spl0_19
    | ~ spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f48,f446,f323,f313,f346]) ).

fof(f449,plain,
    ( spl0_10
    | spl0_49
    | ~ spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f223,f446,f323,f430,f281]) ).

fof(f451,plain,
    ( spl0_12
    | spl0_40
    | ~ spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f225,f446,f323,f390,f288]) ).

fof(f454,definition,
    ( spl0_53
  <=> ! [X61] :
        ( c0_1(X61)
        | ~ c2_1(X61)
        | ~ c1_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X61] :
        ( c0_1(X61)
        | ~ c2_1(X61)
        | ~ c1_1(X61) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f459,plain,
    ( spl0_21
    | spl0_37
    | ~ spl0_22
    | spl0_53 ),
    inference(avatar_split_clause,[],[f228,f454,f323,f380,f320]) ).

fof(f465,definition,
    ( spl0_55
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c2_1(X52)
        | c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f466,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | ~ c2_1(X52)
        | c3_1(X52) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f468,plain,
    ( spl0_17
    | spl0_42
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f231,f465,f323,f401,f305]) ).

fof(f470,definition,
    ( spl0_56
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c1_1(X49)
        | c3_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X49] :
        ( c0_1(X49)
        | ~ c1_1(X49)
        | c3_1(X49) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_6
    | spl0_19
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f60,f470,f323,f313,f268]) ).

fof(f473,plain,
    ( spl0_5
    | spl0_45
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f232,f470,f323,f413,f264]) ).

fof(f475,plain,
    ( spl0_25
    | spl0_46
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f234,f470,f323,f416,f333]) ).

fof(f477,definition,
    ( spl0_57
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c3_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f478,plain,
    ( ! [X40] :
        ( c0_1(X40)
        | ~ c3_1(X40)
        | c2_1(X40) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f480,plain,
    ( spl0_21
    | spl0_45
    | ~ spl0_22
    | spl0_57 ),
    inference(avatar_split_clause,[],[f236,f477,f323,f413,f320]) ).

fof(f483,definition,
    ( spl0_58
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( spl0_24
    | spl0_46
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f238,f483,f323,f416,f330]) ).

fof(f488,definition,
    ( spl0_59
  <=> ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f489,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f494,definition,
    ( spl0_60
  <=> ! [X27] :
        ( c0_1(X27)
        | ~ c3_1(X27)
        | c1_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X27] :
        ( c0_1(X27)
        | ~ c3_1(X27)
        | c1_1(X27) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f498,plain,
    ( spl0_46
    | spl0_59
    | ~ spl0_22
    | spl0_60 ),
    inference(avatar_split_clause,[],[f242,f494,f323,f488,f416]) ).

fof(f500,definition,
    ( spl0_61
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c2_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X21] :
        ( c0_1(X21)
        | ~ c2_1(X21)
        | c1_1(X21) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( spl0_28
    | spl0_19
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f76,f500,f323,f313,f346]) ).

fof(f504,plain,
    ( spl0_23
    | spl0_25
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f243,f500,f323,f333,f326]) ).

fof(f505,plain,
    ( spl0_36
    | spl0_26
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f244,f500,f323,f337,f377]) ).

fof(f506,plain,
    ( spl0_25
    | spl0_33
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f245,f500,f323,f363,f333]) ).

fof(f507,plain,
    ( spl0_32
    | spl0_47
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f246,f500,f323,f421,f359]) ).

fof(f510,definition,
    ( spl0_62
  <=> ! [X5] :
        ( c0_1(X5)
        | c3_1(X5)
        | c1_1(X5) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X5] :
        ( c0_1(X5)
        | c3_1(X5)
        | c1_1(X5) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( spl0_13
    | spl0_19
    | ~ spl0_22
    | spl0_62 ),
    inference(avatar_split_clause,[],[f82,f510,f323,f313,f292]) ).

fof(f513,plain,
    ( spl0_16
    | spl0_25
    | ~ spl0_22
    | spl0_62 ),
    inference(avatar_split_clause,[],[f248,f510,f323,f333,f302]) ).

fof(f514,plain,
    ( spl0_4
    | spl0_37
    | ~ spl0_22
    | spl0_62 ),
    inference(avatar_split_clause,[],[f249,f510,f323,f380,f261]) ).

fof(f516,definition,
    ( spl0_63
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( spl0_3
    | ~ spl0_22
    | spl0_63 ),
    inference(avatar_split_clause,[],[f85,f516,f323,f258]) ).

fof(f520,definition,
    ( spl0_64
  <=> c3_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f523,plain,
    ( spl0_64
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f86,f317,f520]) ).

fof(f525,definition,
    ( spl0_65
  <=> c2_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f527,plain,
    ( spl0_65
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f87,f317,f525]) ).

fof(f529,definition,
    ( spl0_66
  <=> c0_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f530,plain,
    ( c0_1(a296)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( spl0_66
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f88,f317,f529]) ).

fof(f535,definition,
    ( spl0_67
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f536,plain,
    ( c2_1(a282)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( spl0_67
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f90,f356,f535]) ).

fof(f540,definition,
    ( spl0_68
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f542,plain,
    ( spl0_68
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f91,f356,f540]) ).

fof(f544,definition,
    ( spl0_69
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f545,plain,
    ( c0_1(a282)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f546,plain,
    ( spl0_69
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f92,f356,f544]) ).

fof(f549,definition,
    ( spl0_70
  <=> c3_1(a261) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f552,plain,
    ( spl0_70
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f94,f278,f549]) ).

fof(f554,definition,
    ( spl0_71
  <=> c2_1(a261) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f555,plain,
    ( c2_1(a261)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( spl0_71
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f95,f278,f554]) ).

fof(f558,definition,
    ( spl0_72
  <=> c1_1(a261) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f560,plain,
    ( spl0_72
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f96,f278,f558]) ).

fof(f563,definition,
    ( spl0_73
  <=> c3_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f566,plain,
    ( spl0_73
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f98,f320,f563]) ).

fof(f568,definition,
    ( spl0_74
  <=> c1_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f570,plain,
    ( spl0_74
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f99,f320,f568]) ).

fof(f572,definition,
    ( spl0_75
  <=> c0_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f573,plain,
    ( c0_1(a234)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f574,plain,
    ( spl0_75
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f100,f320,f572]) ).

fof(f577,definition,
    ( spl0_76
  <=> c0_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ c0_1(a320)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl0_76
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f102,f254,f577]) ).

fof(f582,definition,
    ( spl0_77
  <=> c3_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f584,plain,
    ( spl0_77
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f103,f254,f582]) ).

fof(f586,definition,
    ( spl0_78
  <=> c2_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f587,plain,
    ( c2_1(a320)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f588,plain,
    ( spl0_78
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f104,f254,f586]) ).

fof(f589,plain,
    ( spl0_22
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f105,f254,f323]) ).

fof(f591,definition,
    ( spl0_79
  <=> c3_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ spl0_79
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f106,f384,f591]) ).

fof(f596,definition,
    ( spl0_80
  <=> c2_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ c2_1(a280)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f598,plain,
    ( ~ spl0_80
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f107,f384,f596]) ).

fof(f600,definition,
    ( spl0_81
  <=> c1_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f602,plain,
    ( spl0_81
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f108,f384,f600]) ).

fof(f605,definition,
    ( spl0_82
  <=> c3_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f608,plain,
    ( ~ spl0_82
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f110,f295,f605]) ).

fof(f610,definition,
    ( spl0_83
  <=> c0_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c0_1(a274)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( ~ spl0_83
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f111,f295,f610]) ).

fof(f614,definition,
    ( spl0_84
  <=> c1_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f616,plain,
    ( spl0_84
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f112,f295,f614]) ).

fof(f633,definition,
    ( spl0_88
  <=> c2_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ spl0_88
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f118,f405,f633]) ).

fof(f638,definition,
    ( spl0_89
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f640,plain,
    ( spl0_89
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f119,f405,f638]) ).

fof(f642,definition,
    ( spl0_90
  <=> c0_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f643,plain,
    ( c0_1(a259)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f644,plain,
    ( spl0_90
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f120,f405,f642]) ).

fof(f661,definition,
    ( spl0_94
  <=> c3_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f251,f661]) ).

fof(f666,definition,
    ( spl0_95
  <=> c1_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f668,plain,
    ( ~ spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f251,f666]) ).

fof(f670,definition,
    ( spl0_96
  <=> c0_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f671,plain,
    ( ~ c0_1(a255)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f672,plain,
    ( ~ spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f251,f670]) ).

fof(f673,plain,
    ( spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f251,f323]) ).

fof(f675,definition,
    ( spl0_97
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f678,plain,
    ( ~ spl0_97
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f130,f281,f675]) ).

fof(f680,definition,
    ( spl0_98
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f681,plain,
    ( c2_1(a252)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( spl0_98
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f131,f281,f680]) ).

fof(f684,definition,
    ( spl0_99
  <=> c0_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f685,plain,
    ( c0_1(a252)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( spl0_99
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f132,f281,f684]) ).

fof(f689,definition,
    ( spl0_100
  <=> c2_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ c2_1(a248)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( ~ spl0_100
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f134,f275,f689]) ).

fof(f694,definition,
    ( spl0_101
  <=> c3_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f696,plain,
    ( spl0_101
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f135,f275,f694]) ).

fof(f698,definition,
    ( spl0_102
  <=> c1_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f700,plain,
    ( spl0_102
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f136,f275,f698]) ).

fof(f703,definition,
    ( spl0_103
  <=> c3_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f706,plain,
    ( ~ spl0_103
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f138,f271,f703]) ).

fof(f708,definition,
    ( spl0_104
  <=> c1_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f710,plain,
    ( ~ spl0_104
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f139,f271,f708]) ).

fof(f712,definition,
    ( spl0_105
  <=> c0_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f713,plain,
    ( c0_1(a245)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f714,plain,
    ( spl0_105
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f140,f271,f712]) ).

fof(f717,definition,
    ( spl0_106
  <=> c2_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ c2_1(a242)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl0_106
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f142,f387,f717]) ).

fof(f722,definition,
    ( spl0_107
  <=> c0_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ c0_1(a242)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f724,plain,
    ( ~ spl0_107
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f143,f387,f722]) ).

fof(f726,definition,
    ( spl0_108
  <=> c1_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f728,plain,
    ( spl0_108
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f144,f387,f726]) ).

fof(f745,definition,
    ( spl0_112
  <=> c1_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f748,plain,
    ( ~ spl0_112
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f150,f268,f745]) ).

fof(f750,definition,
    ( spl0_113
  <=> c3_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f752,plain,
    ( spl0_113
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f151,f268,f750]) ).

fof(f754,definition,
    ( spl0_114
  <=> c2_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f755,plain,
    ( c2_1(a239)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f756,plain,
    ( spl0_114
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f152,f268,f754]) ).

fof(f759,definition,
    ( spl0_115
  <=> c3_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f762,plain,
    ( ~ spl0_115
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f154,f264,f759]) ).

fof(f764,definition,
    ( spl0_116
  <=> c2_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f765,plain,
    ( c2_1(a237)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f766,plain,
    ( spl0_116
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f155,f264,f764]) ).

fof(f768,definition,
    ( spl0_117
  <=> c0_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f769,plain,
    ( c0_1(a237)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f770,plain,
    ( spl0_117
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f156,f264,f768]) ).

fof(f787,definition,
    ( spl0_121
  <=> c0_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ c0_1(a231)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f790,plain,
    ( ~ spl0_121
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f162,f305,f787]) ).

fof(f792,definition,
    ( spl0_122
  <=> c3_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_122
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f163,f305,f792]) ).

fof(f796,definition,
    ( spl0_123
  <=> c1_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_123
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f164,f305,f796]) ).

fof(f801,definition,
    ( spl0_124
  <=> c2_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f802,plain,
    ( ~ c2_1(a226)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( ~ spl0_124
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f166,f288,f801]) ).

fof(f806,definition,
    ( spl0_125
  <=> c1_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ spl0_125
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f167,f288,f806]) ).

fof(f810,definition,
    ( spl0_126
  <=> c0_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f811,plain,
    ( c0_1(a226)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f812,plain,
    ( spl0_126
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f168,f288,f810]) ).

fof(f815,definition,
    ( spl0_127
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f816,plain,
    ( ~ c2_1(a225)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,plain,
    ( ~ spl0_127
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f170,f330,f815]) ).

fof(f820,definition,
    ( spl0_128
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c0_1(a225)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f822,plain,
    ( ~ spl0_128
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f171,f330,f820]) ).

fof(f824,definition,
    ( spl0_129
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f826,plain,
    ( spl0_129
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f172,f330,f824]) ).

fof(f829,definition,
    ( spl0_130
  <=> c0_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f830,plain,
    ( ~ c0_1(a223)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f832,plain,
    ( ~ spl0_130
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f174,f349,f829]) ).

fof(f834,definition,
    ( spl0_131
  <=> c2_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f835,plain,
    ( c2_1(a223)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f836,plain,
    ( spl0_131
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f175,f349,f834]) ).

fof(f838,definition,
    ( spl0_132
  <=> c1_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f840,plain,
    ( spl0_132
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f176,f349,f838]) ).

fof(f843,definition,
    ( spl0_133
  <=> c3_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ spl0_133
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f178,f346,f843]) ).

fof(f848,definition,
    ( spl0_134
  <=> c2_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f849,plain,
    ( c2_1(a220)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f850,plain,
    ( spl0_134
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f179,f346,f848]) ).

fof(f852,definition,
    ( spl0_135
  <=> c1_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_135
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f180,f346,f852]) ).

fof(f857,definition,
    ( spl0_136
  <=> c2_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f858,plain,
    ( ~ c2_1(a218)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f860,plain,
    ( ~ spl0_136
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f182,f377,f857]) ).

fof(f862,definition,
    ( spl0_137
  <=> c1_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ spl0_137
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f183,f377,f862]) ).

fof(f866,definition,
    ( spl0_138
  <=> c3_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f868,plain,
    ( spl0_138
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f184,f377,f866]) ).

fof(f871,definition,
    ( spl0_139
  <=> c3_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ spl0_139
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f186,f292,f871]) ).

fof(f876,definition,
    ( spl0_140
  <=> c2_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c2_1(a217)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f878,plain,
    ( ~ spl0_140
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f187,f292,f876]) ).

fof(f880,definition,
    ( spl0_141
  <=> c1_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ spl0_141
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f188,f292,f880]) ).

fof(f885,definition,
    ( spl0_142
  <=> c2_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f886,plain,
    ( ~ c2_1(a216)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f888,plain,
    ( ~ spl0_142
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f190,f313,f885]) ).

fof(f890,definition,
    ( spl0_143
  <=> c1_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f892,plain,
    ( spl0_143
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f191,f313,f890]) ).

fof(f894,definition,
    ( spl0_144
  <=> c0_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f895,plain,
    ( c0_1(a216)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f896,plain,
    ( spl0_144
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f192,f313,f894]) ).

fof(f899,definition,
    ( spl0_145
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f902,plain,
    ( ~ spl0_145
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f194,f302,f899]) ).

fof(f904,definition,
    ( spl0_146
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ c0_1(a215)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f906,plain,
    ( ~ spl0_146
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f195,f302,f904]) ).

fof(f908,definition,
    ( spl0_147
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f909,plain,
    ( c2_1(a215)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f910,plain,
    ( spl0_147
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f196,f302,f908]) ).

fof(f913,definition,
    ( spl0_148
  <=> c3_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ spl0_148
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f198,f261,f913]) ).

fof(f918,definition,
    ( spl0_149
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ c0_1(a214)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f920,plain,
    ( ~ spl0_149
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f199,f261,f918]) ).

fof(f922,definition,
    ( spl0_150
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f923,plain,
    ( c2_1(a214)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f924,plain,
    ( spl0_150
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f200,f261,f922]) ).

fof(f927,definition,
    ( spl0_151
  <=> c3_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f930,plain,
    ( ~ spl0_151
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f202,f258,f927]) ).

fof(f932,definition,
    ( spl0_152
  <=> c1_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f934,plain,
    ( ~ spl0_152
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f203,f258,f932]) ).

fof(f936,definition,
    ( spl0_153
  <=> c2_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f937,plain,
    ( c2_1(a213)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f938,plain,
    ( spl0_153
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f204,f258,f936]) ).

fof(f944,definition,
    ( spl0_154
  <=> c1_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f954,plain,
    ( ~ c3_1(a296)
    | ~ c2_1(a296)
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(resolution,[],[f334,f530]) ).

fof(f957,plain,
    ( ~ spl0_65
    | ~ spl0_64
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f954,f529,f333,f520,f525]) ).

fof(f958,plain,
    ( ~ c3_1(a234)
    | ~ c2_1(a234)
    | ~ spl0_25
    | ~ spl0_75 ),
    inference(resolution,[],[f573,f334]) ).

fof(f960,definition,
    ( spl0_155
  <=> c2_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f975,definition,
    ( spl0_157
  <=> c2_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ c2_1(a245)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f981,plain,
    ( ~ c1_1(a237)
    | c3_1(a237)
    | ~ spl0_32
    | ~ spl0_117 ),
    inference(resolution,[],[f360,f769]) ).

fof(f988,definition,
    ( spl0_158
  <=> c1_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ c3_1(a282)
    | ~ c2_1(a282)
    | ~ spl0_25
    | ~ spl0_69 ),
    inference(resolution,[],[f545,f334]) ).

fof(f994,definition,
    ( spl0_159
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f996,plain,
    ( ~ spl0_67
    | ~ spl0_159
    | ~ spl0_25
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f991,f544,f333,f994,f535]) ).

fof(f1002,plain,
    ( c2_1(a234)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f1011,plain,
    ( ~ c3_1(a320)
    | ~ c1_1(a320)
    | ~ spl0_23
    | ~ spl0_78 ),
    inference(resolution,[],[f327,f587]) ).

fof(f1012,plain,
    ( ~ c3_1(a261)
    | ~ c1_1(a261)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f327,f555]) ).

fof(f1022,definition,
    ( spl0_161
  <=> c3_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ c3_1(a234)
    | ~ c1_1(a234)
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(resolution,[],[f1002,f327]) ).

fof(f1048,plain,
    ( c2_1(a245)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f1066,definition,
    ( spl0_162
  <=> c3_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1077,plain,
    ( ~ c2_1(a245)
    | c1_1(a245)
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(resolution,[],[f402,f713]) ).

fof(f1082,plain,
    ( spl0_104
    | ~ spl0_157
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1077,f712,f401,f975,f708]) ).

fof(f1087,plain,
    ( c1_1(a237)
    | c3_1(a237)
    | ~ spl0_44
    | ~ spl0_116 ),
    inference(resolution,[],[f409,f765]) ).

fof(f1088,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(resolution,[],[f409,f1048]) ).

fof(f1101,plain,
    ( c3_1(a237)
    | ~ c1_1(a237)
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(resolution,[],[f414,f765]) ).

fof(f1117,plain,
    ( c1_1(a237)
    | c3_1(a237)
    | ~ spl0_46
    | ~ spl0_117 ),
    inference(resolution,[],[f417,f769]) ).

fof(f1118,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ spl0_46
    | ~ spl0_105 ),
    inference(resolution,[],[f417,f713]) ).

fof(f1122,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_46
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1118,f712,f416,f708,f703]) ).

fof(f1145,plain,
    ( c3_1(a217)
    | c1_1(a217)
    | ~ spl0_50
    | spl0_140 ),
    inference(resolution,[],[f435,f877]) ).

fof(f1147,plain,
    ( c3_1(a245)
    | c1_1(a245)
    | ~ spl0_50
    | spl0_157 ),
    inference(resolution,[],[f435,f976]) ).

fof(f1153,plain,
    ( spl0_104
    | spl0_103
    | ~ spl0_50
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1147,f975,f434,f703,f708]) ).

fof(f1156,plain,
    ( spl0_141
    | spl0_139
    | ~ spl0_50
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1145,f876,f434,f871,f880]) ).

fof(f1166,plain,
    ( c3_1(a226)
    | c1_1(a226)
    | ~ spl0_50
    | spl0_124 ),
    inference(resolution,[],[f802,f435]) ).

fof(f1170,definition,
    ( spl0_164
  <=> c3_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1180,definition,
    ( spl0_165
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1195,plain,
    ( ~ c3_1(a226)
    | c1_1(a226)
    | ~ spl0_41
    | ~ spl0_126 ),
    inference(resolution,[],[f811,f395]) ).

fof(f1204,definition,
    ( spl0_166
  <=> c3_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1229,plain,
    ( ~ c2_1(a252)
    | c1_1(a252)
    | ~ spl0_42
    | ~ spl0_99 ),
    inference(resolution,[],[f402,f685]) ).

fof(f1248,plain,
    ( ~ c3_1(a234)
    | c2_1(a234)
    | ~ spl0_33
    | ~ spl0_75 ),
    inference(resolution,[],[f364,f573]) ).

fof(f1258,plain,
    ( ~ c3_1(a216)
    | ~ c1_1(a216)
    | ~ spl0_49
    | spl0_142 ),
    inference(resolution,[],[f431,f886]) ).

fof(f1261,plain,
    ( ~ c3_1(a242)
    | ~ c1_1(a242)
    | ~ spl0_49
    | spl0_106 ),
    inference(resolution,[],[f431,f718]) ).

fof(f1262,plain,
    ( ~ c3_1(a248)
    | ~ c1_1(a248)
    | ~ spl0_49
    | spl0_100 ),
    inference(resolution,[],[f431,f690]) ).

fof(f1266,plain,
    ( ~ spl0_102
    | ~ spl0_101
    | ~ spl0_49
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1262,f689,f430,f694,f698]) ).

fof(f1268,plain,
    ( ~ spl0_108
    | ~ spl0_162
    | ~ spl0_49
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1261,f717,f430,f1066,f726]) ).

fof(f1271,plain,
    ( ~ spl0_143
    | ~ spl0_166
    | ~ spl0_49
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1258,f885,f430,f1204,f890]) ).

fof(f1273,plain,
    ( c1_1(a245)
    | c2_1(a245)
    | ~ spl0_48
    | ~ spl0_105 ),
    inference(resolution,[],[f426,f713]) ).

fof(f1278,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(resolution,[],[f447,f334]) ).

fof(f1279,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_52 ),
    inference(resolution,[],[f447,f364]) ).

fof(f1287,plain,
    ( ~ c3_1(a242)
    | ~ c1_1(a242)
    | ~ spl0_52
    | spl0_107 ),
    inference(resolution,[],[f447,f723]) ).

fof(f1290,plain,
    ( ~ c3_1(a320)
    | ~ c1_1(a320)
    | ~ spl0_52
    | spl0_76 ),
    inference(resolution,[],[f447,f578]) ).

fof(f1293,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1279]) ).

fof(f1294,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1278]) ).

fof(f1297,plain,
    ( spl0_49
    | ~ spl0_33
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1293,f446,f363,f430]) ).

fof(f1321,definition,
    ( spl0_167
  <=> c3_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1330,plain,
    ( ~ c2_1(a214)
    | ~ c1_1(a214)
    | ~ spl0_53
    | spl0_149 ),
    inference(resolution,[],[f455,f919]) ).

fof(f1342,definition,
    ( spl0_168
  <=> c1_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1352,plain,
    ( ~ c2_1(a214)
    | c3_1(a214)
    | ~ spl0_55
    | spl0_149 ),
    inference(resolution,[],[f466,f919]) ).

fof(f1353,plain,
    ( ~ c2_1(a215)
    | c3_1(a215)
    | ~ spl0_55
    | spl0_146 ),
    inference(resolution,[],[f466,f905]) ).

fof(f1366,definition,
    ( spl0_169
  <=> c2_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1372,plain,
    ( spl0_167
    | ~ spl0_147
    | ~ spl0_55
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1353,f904,f465,f908,f1321]) ).

fof(f1374,plain,
    ( spl0_148
    | ~ spl0_150
    | ~ spl0_55
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1352,f918,f465,f922,f913]) ).

fof(f1379,definition,
    ( spl0_170
  <=> c2_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1394,plain,
    ( ~ c1_1(a223)
    | c3_1(a223)
    | ~ spl0_56
    | spl0_130 ),
    inference(resolution,[],[f471,f830]) ).

fof(f1416,plain,
    ( ~ c3_1(a242)
    | c2_1(a242)
    | ~ spl0_57
    | spl0_107 ),
    inference(resolution,[],[f478,f723]) ).

fof(f1433,plain,
    ( c2_1(a231)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1379]) ).

fof(f1456,plain,
    ( spl0_155
    | ~ spl0_73
    | ~ spl0_33
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1248,f572,f363,f563,f960]) ).

fof(f1474,plain,
    ( ~ c1_1(a280)
    | c3_1(a280)
    | ~ spl0_35
    | spl0_80 ),
    inference(resolution,[],[f597,f372]) ).

fof(f1477,plain,
    ( spl0_79
    | ~ spl0_81
    | ~ spl0_35
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1474,f596,f371,f600,f591]) ).

fof(f1489,plain,
    ( spl0_161
    | ~ spl0_132
    | ~ spl0_56
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1394,f829,f470,f838,f1022]) ).

fof(f1517,plain,
    ( ~ c3_1(a234)
    | ~ c1_1(a234)
    | ~ spl0_26
    | ~ spl0_75 ),
    inference(resolution,[],[f338,f573]) ).

fof(f1519,plain,
    ( ~ spl0_74
    | ~ spl0_73
    | ~ spl0_26
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1517,f572,f337,f563,f568]) ).

fof(f1526,plain,
    ( ~ spl0_74
    | ~ spl0_73
    | ~ spl0_23
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1036,f960,f326,f563,f568]) ).

fof(f1539,plain,
    ( ~ c3_1(a320)
    | c1_1(a320)
    | ~ spl0_40
    | ~ spl0_78 ),
    inference(resolution,[],[f391,f587]) ).

fof(f1599,plain,
    ( ~ c3_1(a282)
    | ~ c1_1(a282)
    | ~ spl0_23
    | ~ spl0_67 ),
    inference(resolution,[],[f536,f327]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(resolution,[],[f484,f364]) ).

fof(f1636,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1630]) ).

fof(f1665,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_60 ),
    inference(resolution,[],[f495,f334]) ).

fof(f1674,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f1665]) ).

fof(f1679,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_61 ),
    inference(resolution,[],[f501,f334]) ).

fof(f1684,plain,
    ( ~ c2_1(a255)
    | c1_1(a255)
    | ~ spl0_61
    | spl0_96 ),
    inference(resolution,[],[f501,f671]) ).

fof(f1686,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_25
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f1679]) ).

fof(f1694,plain,
    ( c3_1(a255)
    | c1_1(a255)
    | ~ spl0_62
    | spl0_96 ),
    inference(resolution,[],[f511,f671]) ).

fof(f1710,plain,
    ( ~ spl0_68
    | ~ spl0_159
    | ~ spl0_23
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1599,f535,f326,f994,f540]) ).

fof(f1712,plain,
    ( spl0_49
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1636,f483,f363,f430]) ).

fof(f1715,plain,
    ( spl0_115
    | spl0_158
    | ~ spl0_46
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1117,f768,f416,f988,f759]) ).

fof(f1720,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_42
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1229,f684,f401,f680,f675]) ).

fof(f1731,plain,
    ( spl0_115
    | spl0_158
    | ~ spl0_44
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1087,f764,f408,f988,f759]) ).

fof(f1732,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1088,f975,f408,f708,f703]) ).

fof(f1735,plain,
    ( ~ spl0_155
    | ~ spl0_73
    | ~ spl0_25
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f958,f572,f333,f563,f960]) ).

fof(f1776,definition,
    ( spl0_174
  <=> c1_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1795,plain,
    ( ~ c2_1(a215)
    | c1_1(a215)
    | ~ spl0_61
    | spl0_146 ),
    inference(resolution,[],[f905,f501]) ).

fof(f1796,plain,
    ( spl0_145
    | ~ spl0_147
    | ~ spl0_61
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1795,f904,f500,f908,f899]) ).

fof(f1803,plain,
    ( ~ spl0_158
    | spl0_115
    | ~ spl0_45
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1101,f764,f413,f759,f988]) ).

fof(f1812,plain,
    ( ~ spl0_154
    | ~ spl0_77
    | ~ spl0_23
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1011,f586,f326,f582,f944]) ).

fof(f1815,plain,
    ( spl0_125
    | spl0_164
    | ~ spl0_50
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1166,f801,f434,f1170,f806]) ).

fof(f1817,plain,
    ( ~ c3_1(a320)
    | ~ c2_1(a320)
    | ~ spl0_51
    | spl0_76 ),
    inference(resolution,[],[f578,f442]) ).

fof(f1818,plain,
    ( ~ spl0_78
    | ~ spl0_77
    | ~ spl0_51
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1817,f577,f441,f582,f586]) ).

fof(f1829,plain,
    ( ~ spl0_154
    | ~ spl0_77
    | ~ spl0_52
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1290,f577,f446,f582,f944]) ).

fof(f1838,plain,
    ( spl0_40
    | ~ spl0_25
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1674,f494,f333,f390]) ).

fof(f1866,plain,
    ( ~ c2_1(a237)
    | c3_1(a237)
    | ~ spl0_30
    | ~ spl0_117 ),
    inference(resolution,[],[f353,f769]) ).

fof(f1871,plain,
    ( spl0_115
    | ~ spl0_116
    | ~ spl0_30
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1866,f768,f352,f764,f759]) ).

fof(f1876,plain,
    ( ~ c3_1(a239)
    | c1_1(a239)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f391,f755]) ).

fof(f1879,plain,
    ( spl0_112
    | ~ spl0_113
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1876,f754,f390,f750,f745]) ).

fof(f1881,plain,
    ( c1_1(a213)
    | c3_1(a213)
    | ~ spl0_44
    | ~ spl0_153 ),
    inference(resolution,[],[f409,f937]) ).

fof(f1882,plain,
    ( c1_1(a214)
    | c3_1(a214)
    | ~ spl0_44
    | ~ spl0_150 ),
    inference(resolution,[],[f409,f923]) ).

fof(f1883,plain,
    ( c1_1(a215)
    | c3_1(a215)
    | ~ spl0_44
    | ~ spl0_147 ),
    inference(resolution,[],[f409,f909]) ).

fof(f1886,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ spl0_44
    | ~ spl0_98 ),
    inference(resolution,[],[f409,f681]) ).

fof(f1887,plain,
    ( spl0_165
    | spl0_97
    | ~ spl0_44
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1886,f680,f408,f675,f1180]) ).

fof(f1889,plain,
    ( spl0_167
    | spl0_145
    | ~ spl0_44
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1883,f908,f408,f899,f1321]) ).

fof(f1891,plain,
    ( spl0_148
    | spl0_168
    | ~ spl0_44
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1882,f922,f408,f1342,f913]) ).

fof(f1894,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_44
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1881,f936,f408,f932,f927]) ).

fof(f1902,plain,
    ( spl0_95
    | ~ spl0_169
    | ~ spl0_61
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1684,f670,f500,f1366,f666]) ).

fof(f1903,plain,
    ( spl0_95
    | spl0_94
    | ~ spl0_62
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1694,f670,f510,f661,f666]) ).

fof(f1914,plain,
    ( ~ c2_1(a252)
    | c3_1(a252)
    | ~ spl0_30
    | ~ spl0_99 ),
    inference(resolution,[],[f685,f353]) ).

fof(f1915,plain,
    ( spl0_165
    | ~ spl0_98
    | ~ spl0_30
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1914,f684,f352,f680,f1180]) ).

fof(f1956,plain,
    ( c3_1(a214)
    | ~ c1_1(a214)
    | ~ spl0_45
    | ~ spl0_150 ),
    inference(resolution,[],[f414,f923]) ).

fof(f1958,plain,
    ( c3_1(a220)
    | ~ c1_1(a220)
    | ~ spl0_45
    | ~ spl0_134 ),
    inference(resolution,[],[f414,f849]) ).

fof(f1968,plain,
    ( ~ spl0_135
    | spl0_133
    | ~ spl0_45
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1958,f848,f413,f843,f852]) ).

fof(f1969,plain,
    ( ~ spl0_168
    | spl0_148
    | ~ spl0_45
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1956,f922,f413,f913,f1342]) ).

fof(f1971,plain,
    ( spl0_40
    | ~ spl0_25
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1686,f500,f333,f390]) ).

fof(f1973,plain,
    ( ~ spl0_72
    | ~ spl0_70
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1012,f554,f326,f549,f558]) ).

fof(f1977,plain,
    ( spl0_23
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1294,f446,f333,f326]) ).

fof(f1978,plain,
    ( ~ spl0_108
    | ~ spl0_162
    | ~ spl0_52
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1287,f722,f446,f1066,f726]) ).

fof(f1981,plain,
    ( ~ spl0_168
    | ~ spl0_150
    | ~ spl0_53
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1330,f918,f454,f922,f1342]) ).

fof(f2018,plain,
    ( spl0_115
    | ~ spl0_158
    | ~ spl0_32
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f981,f768,f359,f988,f759]) ).

fof(f2030,plain,
    ( spl0_125
    | ~ spl0_164
    | ~ spl0_41
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1195,f810,f394,f1170,f806]) ).

fof(f2035,plain,
    ( spl0_106
    | ~ spl0_162
    | ~ spl0_57
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1416,f722,f477,f1066,f717]) ).

fof(f2054,plain,
    ( ~ c3_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_25
    | ~ spl0_99 ),
    inference(resolution,[],[f685,f334]) ).

fof(f2055,plain,
    ( ~ spl0_98
    | ~ spl0_165
    | ~ spl0_25
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2054,f684,f333,f1180,f680]) ).

fof(f2058,plain,
    ( ~ c3_1(a223)
    | ~ c1_1(a223)
    | ~ spl0_23
    | ~ spl0_131 ),
    inference(resolution,[],[f835,f327]) ).

fof(f2059,plain,
    ( ~ spl0_132
    | ~ spl0_161
    | ~ spl0_23
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2058,f834,f326,f1022,f838]) ).

fof(f2066,plain,
    ( ~ c1_1(a282)
    | c3_1(a282)
    | ~ spl0_32
    | ~ spl0_69 ),
    inference(resolution,[],[f360,f545]) ).

fof(f2067,plain,
    ( spl0_159
    | ~ spl0_68
    | ~ spl0_32
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2066,f544,f359,f540,f994]) ).

fof(f2071,plain,
    ( ~ c3_1(a216)
    | c2_1(a216)
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(resolution,[],[f364,f895]) ).

fof(f2072,plain,
    ( ~ c3_1(a226)
    | c2_1(a226)
    | ~ spl0_33
    | ~ spl0_126 ),
    inference(resolution,[],[f364,f811]) ).

fof(f2076,plain,
    ( ~ c3_1(a259)
    | c2_1(a259)
    | ~ spl0_33
    | ~ spl0_90 ),
    inference(resolution,[],[f364,f643]) ).

fof(f2079,plain,
    ( spl0_88
    | ~ spl0_89
    | ~ spl0_33
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2076,f642,f363,f638,f633]) ).

fof(f2080,plain,
    ( spl0_124
    | ~ spl0_164
    | ~ spl0_33
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2072,f810,f363,f1170,f801]) ).

fof(f2081,plain,
    ( spl0_142
    | ~ spl0_166
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2071,f894,f363,f1204,f885]) ).

fof(f2085,plain,
    ( spl0_157
    | spl0_104
    | ~ spl0_48
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1273,f712,f425,f708,f975]) ).

fof(f2093,plain,
    ( c2_1(a216)
    | c3_1(a216)
    | ~ spl0_37
    | ~ spl0_144 ),
    inference(resolution,[],[f381,f895]) ).

fof(f2097,plain,
    ( c2_1(a245)
    | c3_1(a245)
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(resolution,[],[f381,f713]) ).

fof(f2100,plain,
    ( spl0_103
    | spl0_157
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2097,f712,f380,f975,f703]) ).

fof(f2103,plain,
    ( spl0_166
    | spl0_142
    | ~ spl0_37
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2093,f894,f380,f885,f1204]) ).

fof(f2115,plain,
    ( spl0_154
    | ~ spl0_77
    | ~ spl0_40
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1539,f586,f390,f582,f944]) ).

fof(f2142,plain,
    ( ~ c3_1(a215)
    | c1_1(a215)
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(resolution,[],[f391,f909]) ).

fof(f2151,plain,
    ( spl0_145
    | ~ spl0_167
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2142,f908,f390,f1321,f899]) ).

fof(f2157,plain,
    ( ~ c3_1(a252)
    | c1_1(a252)
    | ~ spl0_41
    | ~ spl0_99 ),
    inference(resolution,[],[f395,f685]) ).

fof(f2159,plain,
    ( spl0_97
    | ~ spl0_165
    | ~ spl0_41
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2157,f684,f394,f1180,f675]) ).

fof(f2163,plain,
    ( ~ c3_1(a218)
    | c1_1(a218)
    | ~ spl0_47
    | spl0_136 ),
    inference(resolution,[],[f422,f858]) ).

fof(f2180,plain,
    ( spl0_137
    | ~ spl0_138
    | ~ spl0_47
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2163,f857,f421,f866,f862]) ).

fof(f2190,plain,
    ( ~ c3_1(a216)
    | ~ c1_1(a216)
    | ~ spl0_26
    | ~ spl0_144 ),
    inference(resolution,[],[f338,f895]) ).

fof(f2195,plain,
    ( ~ spl0_143
    | ~ spl0_166
    | ~ spl0_26
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2190,f894,f337,f1204,f890]) ).

fof(f2205,plain,
    ( ~ c3_1(a225)
    | ~ c1_1(a225)
    | ~ spl0_49
    | spl0_127 ),
    inference(resolution,[],[f431,f816]) ).

fof(f2214,plain,
    ( ~ spl0_174
    | ~ spl0_129
    | ~ spl0_49
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2205,f815,f430,f824,f1776]) ).

fof(f2222,plain,
    ( ~ c1_1(a216)
    | c2_1(a216)
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(resolution,[],[f368,f895]) ).

fof(f2227,plain,
    ( spl0_142
    | ~ spl0_143
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2222,f894,f367,f890,f885]) ).

fof(f2235,plain,
    ( ~ c1_1(a214)
    | c3_1(a214)
    | ~ spl0_56
    | spl0_149 ),
    inference(resolution,[],[f471,f919]) ).

fof(f2242,plain,
    ( ~ c1_1(a274)
    | c3_1(a274)
    | ~ spl0_56
    | spl0_83 ),
    inference(resolution,[],[f471,f611]) ).

fof(f2246,plain,
    ( spl0_82
    | ~ spl0_84
    | ~ spl0_56
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2242,f610,f470,f614,f605]) ).

fof(f2247,plain,
    ( spl0_148
    | ~ spl0_168
    | ~ spl0_56
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2235,f918,f470,f1342,f913]) ).

fof(f2257,plain,
    ( ~ c3_1(a225)
    | c2_1(a225)
    | ~ spl0_57
    | spl0_128 ),
    inference(resolution,[],[f478,f821]) ).

fof(f2258,plain,
    ( ~ c3_1(a231)
    | c2_1(a231)
    | ~ spl0_57
    | spl0_121 ),
    inference(resolution,[],[f478,f788]) ).

fof(f2271,plain,
    ( spl0_170
    | ~ spl0_122
    | ~ spl0_57
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2258,f787,f477,f792,f1379]) ).

fof(f2273,plain,
    ( spl0_127
    | ~ spl0_129
    | ~ spl0_57
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2257,f820,f477,f824,f815]) ).

fof(f2284,plain,
    ( ~ c1_1(a231)
    | c2_1(a231)
    | ~ spl0_58
    | spl0_121 ),
    inference(resolution,[],[f484,f788]) ).

fof(f2295,plain,
    ( spl0_170
    | ~ spl0_123
    | ~ spl0_58
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2284,f787,f483,f796,f1379]) ).

fof(f2303,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_59 ),
    inference(resolution,[],[f489,f426]) ).

fof(f2312,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f2303]) ).

fof(f2319,plain,
    ( spl0_50
    | ~ spl0_48
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f2312,f488,f425,f434]) ).

fof(f2328,plain,
    ( c2_1(a225)
    | c1_1(a225)
    | ~ spl0_63
    | spl0_128 ),
    inference(resolution,[],[f517,f821]) ).

fof(f2331,plain,
    ( c2_1(a255)
    | c1_1(a255)
    | ~ spl0_63
    | spl0_96 ),
    inference(resolution,[],[f517,f671]) ).

fof(f2361,plain,
    ( ~ c1_1(a216)
    | c3_1(a216)
    | ~ spl0_32
    | ~ spl0_144 ),
    inference(resolution,[],[f360,f895]) ).

fof(f2369,plain,
    ( ~ c3_1(a231)
    | ~ c1_1(a231)
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(resolution,[],[f1433,f327]) ).

fof(f2370,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2369,f1379,f326,f792,f796]) ).

fof(f2383,plain,
    ( spl0_95
    | spl0_169
    | ~ spl0_63
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2331,f670,f516,f1366,f666]) ).

fof(f2385,plain,
    ( spl0_174
    | spl0_127
    | ~ spl0_63
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2328,f820,f516,f815,f1776]) ).

fof(f2396,plain,
    ( spl0_166
    | ~ spl0_143
    | ~ spl0_32
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2361,f894,f359,f890,f1204]) ).

fof(f2403,plain,
    ( ~ c1_1(a242)
    | c3_1(a242)
    | ~ spl0_35
    | spl0_106 ),
    inference(resolution,[],[f718,f372]) ).

fof(f2404,plain,
    ( spl0_162
    | ~ spl0_108
    | ~ spl0_35
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2403,f717,f371,f726,f1066]) ).

fof(f2405,plain,
    ( ~ c1_1(a242)
    | c3_1(a242)
    | ~ spl0_56
    | spl0_107 ),
    inference(resolution,[],[f723,f471]) ).

fof(f2406,plain,
    ( spl0_162
    | ~ spl0_108
    | ~ spl0_56
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2405,f722,f470,f726,f1066]) ).

fof(f2411,plain,
    ( ~ c1_1(a216)
    | c3_1(a216)
    | ~ spl0_35
    | spl0_142 ),
    inference(resolution,[],[f886,f372]) ).

fof(f2412,plain,
    ( spl0_166
    | ~ spl0_143
    | ~ spl0_35
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2411,f885,f371,f890,f1204]) ).

fof(f2415,plain,
    ( c1_1(a226)
    | c3_1(a226)
    | ~ spl0_46
    | ~ spl0_126 ),
    inference(resolution,[],[f417,f811]) ).

fof(f2416,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(resolution,[],[f417,f685]) ).

fof(f2420,plain,
    ( spl0_165
    | spl0_97
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2416,f684,f416,f675,f1180]) ).

fof(f2421,plain,
    ( spl0_164
    | spl0_125
    | ~ spl0_46
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2415,f810,f416,f806,f1170]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s4,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s9,plain,
    ( spl0_7
    | spl0_19 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s10,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s12,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_22
    | spl0_26 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s15,plain,
    ( ~ spl0_22
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s17,plain,
    ( spl0_9
    | spl0_19
    | ~ spl0_22
    | spl0_33 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s18,plain,
    ( ~ spl0_22
    | spl0_23
    | spl0_32
    | spl0_34 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s19,plain,
    ( spl0_12
    | spl0_21
    | ~ spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s20,plain,
    ( ~ spl0_22
    | spl0_26
    | spl0_31
    | spl0_35 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s21,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_32
    | spl0_35 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s22,plain,
    ( ~ spl0_22
    | spl0_34
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s23,plain,
    ( ~ spl0_22
    | spl0_38
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_22
    | spl0_41 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s26,plain,
    ( spl0_14
    | spl0_21
    | ~ spl0_22
    | spl0_41 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s27,plain,
    ( spl0_10
    | ~ spl0_22
    | spl0_30
    | spl0_41 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s29,plain,
    ( spl0_5
    | ~ spl0_22
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s30,plain,
    ( spl0_4
    | ~ spl0_22
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s31,plain,
    ( ~ spl0_22
    | spl0_23
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s32,plain,
    ( ~ spl0_22
    | spl0_33
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s35,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_22
    | spl0_48 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s36,plain,
    ( ~ spl0_22
    | spl0_44
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s37,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_22
    | spl0_50 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s38,plain,
    ( spl0_1
    | ~ spl0_22
    | spl0_43
    | spl0_50 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s40,plain,
    ( ~ spl0_22
    | spl0_24
    | spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s41,plain,
    ( spl0_1
    | ~ spl0_22
    | spl0_35
    | spl0_51 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s42,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s43,plain,
    ( spl0_19
    | ~ spl0_22
    | spl0_28
    | spl0_52 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s44,plain,
    ( spl0_10
    | ~ spl0_22
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s46,plain,
    ( spl0_12
    | ~ spl0_22
    | spl0_40
    | spl0_52 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s51,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_37
    | spl0_53 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s54,plain,
    ( spl0_17
    | ~ spl0_22
    | spl0_42
    | spl0_55 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s55,plain,
    ( spl0_6
    | spl0_19
    | ~ spl0_22
    | spl0_56 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s56,plain,
    ( spl0_5
    | ~ spl0_22
    | spl0_45
    | spl0_56 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s58,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s60,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_45
    | spl0_57 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s62,plain,
    ( ~ spl0_22
    | spl0_24
    | spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s69,plain,
    ( ~ spl0_22
    | spl0_46
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s71,plain,
    ( spl0_19
    | ~ spl0_22
    | spl0_28
    | spl0_61 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s72,plain,
    ( ~ spl0_22
    | spl0_23
    | spl0_25
    | spl0_61 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s73,plain,
    ( ~ spl0_22
    | spl0_26
    | spl0_36
    | spl0_61 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s74,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_33
    | spl0_61 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s75,plain,
    ( ~ spl0_22
    | spl0_32
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s77,plain,
    ( spl0_13
    | spl0_19
    | ~ spl0_22
    | spl0_62 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s78,plain,
    ( spl0_16
    | ~ spl0_22
    | spl0_25
    | spl0_62 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s79,plain,
    ( spl0_4
    | ~ spl0_22
    | spl0_37
    | spl0_62 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s80,plain,
    ( spl0_3
    | ~ spl0_22
    | spl0_63 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s81,plain,
    ( ~ spl0_20
    | spl0_64 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s82,plain,
    ( ~ spl0_20
    | spl0_65 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s83,plain,
    ( ~ spl0_20
    | spl0_66 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s85,plain,
    ( ~ spl0_31
    | spl0_67 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s86,plain,
    ( ~ spl0_31
    | spl0_68 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s87,plain,
    ( ~ spl0_31
    | spl0_69 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s89,plain,
    ( ~ spl0_9
    | spl0_70 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s90,plain,
    ( ~ spl0_9
    | spl0_71 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s91,plain,
    ( ~ spl0_9
    | spl0_72 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s93,plain,
    ( ~ spl0_21
    | spl0_73 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s94,plain,
    ( ~ spl0_21
    | spl0_74 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s95,plain,
    ( ~ spl0_21
    | spl0_75 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s97,plain,
    ( ~ spl0_2
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s98,plain,
    ( ~ spl0_2
    | spl0_77 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s99,plain,
    ( ~ spl0_2
    | spl0_78 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s100,plain,
    ( ~ spl0_2
    | spl0_22 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s101,plain,
    ( ~ spl0_38
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s102,plain,
    ( ~ spl0_38
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s103,plain,
    ( ~ spl0_38
    | spl0_81 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s105,plain,
    ( ~ spl0_14
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s106,plain,
    ( ~ spl0_14
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s107,plain,
    ( ~ spl0_14
    | spl0_84 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s113,plain,
    ( ~ spl0_43
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s114,plain,
    ( ~ spl0_43
    | spl0_89 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s115,plain,
    ( ~ spl0_43
    | spl0_90 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s121,plain,
    ( ~ spl0_1
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s122,plain,
    ( ~ spl0_1
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s123,plain,
    ( ~ spl0_1
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s124,plain,
    ( ~ spl0_1
    | spl0_22 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s125,plain,
    ( ~ spl0_10
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s126,plain,
    ( ~ spl0_10
    | spl0_98 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s127,plain,
    ( ~ spl0_10
    | spl0_99 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s129,plain,
    ( ~ spl0_8
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s130,plain,
    ( ~ spl0_8
    | spl0_101 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s131,plain,
    ( ~ spl0_8
    | spl0_102 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s133,plain,
    ( ~ spl0_7
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s134,plain,
    ( ~ spl0_7
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s135,plain,
    ( ~ spl0_7
    | spl0_105 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s137,plain,
    ( ~ spl0_39
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s138,plain,
    ( ~ spl0_39
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s139,plain,
    ( ~ spl0_39
    | spl0_108 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s145,plain,
    ( ~ spl0_6
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s146,plain,
    ( ~ spl0_6
    | spl0_113 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s147,plain,
    ( ~ spl0_6
    | spl0_114 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s149,plain,
    ( ~ spl0_5
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s150,plain,
    ( ~ spl0_5
    | spl0_116 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s151,plain,
    ( ~ spl0_5
    | spl0_117 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s157,plain,
    ( ~ spl0_17
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s158,plain,
    ( ~ spl0_17
    | spl0_122 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s159,plain,
    ( ~ spl0_17
    | spl0_123 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s161,plain,
    ( ~ spl0_12
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s162,plain,
    ( ~ spl0_12
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s163,plain,
    ( ~ spl0_12
    | spl0_126 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s165,plain,
    ( ~ spl0_24
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s166,plain,
    ( ~ spl0_24
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s167,plain,
    ( ~ spl0_24
    | spl0_129 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s169,plain,
    ( ~ spl0_29
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s170,plain,
    ( ~ spl0_29
    | spl0_131 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s171,plain,
    ( ~ spl0_29
    | spl0_132 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s173,plain,
    ( ~ spl0_28
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s174,plain,
    ( ~ spl0_28
    | spl0_134 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s175,plain,
    ( ~ spl0_28
    | spl0_135 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s177,plain,
    ( ~ spl0_36
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s178,plain,
    ( ~ spl0_36
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s179,plain,
    ( ~ spl0_36
    | spl0_138 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s181,plain,
    ( ~ spl0_13
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s182,plain,
    ( ~ spl0_13
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s183,plain,
    ( ~ spl0_13
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s185,plain,
    ( ~ spl0_19
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s186,plain,
    ( ~ spl0_19
    | spl0_143 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s187,plain,
    ( ~ spl0_19
    | spl0_144 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s189,plain,
    ( ~ spl0_16
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s190,plain,
    ( ~ spl0_16
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s191,plain,
    ( ~ spl0_16
    | spl0_147 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s193,plain,
    ( ~ spl0_4
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s194,plain,
    ( ~ spl0_4
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s195,plain,
    ( ~ spl0_4
    | spl0_150 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s197,plain,
    ( ~ spl0_3
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s198,plain,
    ( ~ spl0_3
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s199,plain,
    ( ~ spl0_3
    | spl0_153 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s203,plain,
    ( ~ spl0_25
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s210,plain,
    ( ~ spl0_25
    | ~ spl0_67
    | ~ spl0_69
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s224,plain,
    ( ~ spl0_42
    | spl0_104
    | ~ spl0_105
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s233,plain,
    ( ~ spl0_46
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s237,plain,
    ( ~ spl0_50
    | spl0_103
    | spl0_104
    | spl0_157 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s238,plain,
    ( ~ spl0_50
    | spl0_139
    | spl0_140
    | spl0_141 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s271,plain,
    ( ~ spl0_49
    | spl0_100
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s272,plain,
    ( ~ spl0_49
    | spl0_106
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s275,plain,
    ( ~ spl0_49
    | spl0_142
    | ~ spl0_143
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1271]) ).

cnf(s278,plain,
    ( ~ spl0_33
    | spl0_49
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s289,plain,
    ( ~ spl0_55
    | spl0_146
    | ~ spl0_147
    | spl0_167 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s290,plain,
    ( ~ spl0_55
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1374]) ).

cnf(s318,plain,
    ( ~ spl0_33
    | ~ spl0_73
    | ~ spl0_75
    | spl0_155 ),
    inference(sat_conversion,[],[f1456]) ).

cnf(s325,plain,
    ( ~ spl0_35
    | spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1477]) ).

cnf(s337,plain,
    ( ~ spl0_56
    | spl0_130
    | ~ spl0_132
    | spl0_161 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s348,plain,
    ( ~ spl0_26
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s352,plain,
    ( ~ spl0_23
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1526]) ).

cnf(s395,plain,
    ( ~ spl0_23
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s397,plain,
    ( ~ spl0_33
    | spl0_49
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s400,plain,
    ( ~ spl0_46
    | spl0_115
    | ~ spl0_117
    | spl0_158 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s405,plain,
    ( ~ spl0_42
    | spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s416,plain,
    ( ~ spl0_44
    | spl0_115
    | ~ spl0_116
    | spl0_158 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s417,plain,
    ( ~ spl0_44
    | spl0_103
    | spl0_104
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s420,plain,
    ( ~ spl0_25
    | ~ spl0_73
    | ~ spl0_75
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s442,plain,
    ( ~ spl0_61
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s449,plain,
    ( ~ spl0_45
    | spl0_115
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s458,plain,
    ( ~ spl0_23
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s461,plain,
    ( ~ spl0_50
    | spl0_124
    | spl0_125
    | spl0_164 ),
    inference(sat_conversion,[],[f1815]) ).

cnf(s463,plain,
    ( ~ spl0_51
    | spl0_76
    | ~ spl0_77
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s474,plain,
    ( ~ spl0_52
    | spl0_76
    | ~ spl0_77
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s483,plain,
    ( ~ spl0_25
    | spl0_40
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s496,plain,
    ( ~ spl0_30
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1871]) ).

cnf(s498,plain,
    ( ~ spl0_40
    | spl0_112
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s500,plain,
    ( ~ spl0_44
    | spl0_97
    | ~ spl0_98
    | spl0_165 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s502,plain,
    ( ~ spl0_44
    | spl0_145
    | ~ spl0_147
    | spl0_167 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s503,plain,
    ( ~ spl0_44
    | spl0_148
    | ~ spl0_150
    | spl0_168 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s504,plain,
    ( ~ spl0_44
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1894]) ).

cnf(s512,plain,
    ( ~ spl0_61
    | spl0_95
    | spl0_96
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s513,plain,
    ( ~ spl0_62
    | spl0_94
    | spl0_95
    | spl0_96 ),
    inference(sat_conversion,[],[f1903]) ).

cnf(s520,plain,
    ( ~ spl0_30
    | ~ spl0_98
    | ~ spl0_99
    | spl0_165 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s530,plain,
    ( ~ spl0_45
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s531,plain,
    ( ~ spl0_45
    | spl0_148
    | ~ spl0_150
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s533,plain,
    ( ~ spl0_25
    | spl0_40
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s535,plain,
    ( ~ spl0_23
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1973]) ).

cnf(s539,plain,
    ( spl0_23
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s540,plain,
    ( ~ spl0_52
    | spl0_107
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s544,plain,
    ( ~ spl0_53
    | spl0_149
    | ~ spl0_150
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s554,plain,
    ( ~ spl0_32
    | spl0_115
    | ~ spl0_117
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2018]) ).

cnf(s566,plain,
    ( ~ spl0_41
    | spl0_125
    | ~ spl0_126
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s574,plain,
    ( ~ spl0_57
    | spl0_106
    | spl0_107
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2035]) ).

cnf(s590,plain,
    ( ~ spl0_25
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s591,plain,
    ( ~ spl0_23
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2059]) ).

cnf(s592,plain,
    ( ~ spl0_32
    | ~ spl0_68
    | ~ spl0_69
    | spl0_159 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s596,plain,
    ( ~ spl0_33
    | spl0_88
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f2079]) ).

cnf(s597,plain,
    ( ~ spl0_33
    | spl0_124
    | ~ spl0_126
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2080]) ).

cnf(s598,plain,
    ( ~ spl0_33
    | spl0_142
    | ~ spl0_144
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s602,plain,
    ( ~ spl0_48
    | spl0_104
    | ~ spl0_105
    | spl0_157 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s607,plain,
    ( ~ spl0_37
    | spl0_103
    | ~ spl0_105
    | spl0_157 ),
    inference(sat_conversion,[],[f2100]) ).

cnf(s610,plain,
    ( ~ spl0_37
    | spl0_142
    | ~ spl0_144
    | spl0_166 ),
    inference(sat_conversion,[],[f2103]) ).

cnf(s622,plain,
    ( ~ spl0_40
    | ~ spl0_77
    | ~ spl0_78
    | spl0_154 ),
    inference(sat_conversion,[],[f2115]) ).

cnf(s636,plain,
    ( ~ spl0_40
    | spl0_145
    | ~ spl0_147
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s637,plain,
    ( ~ spl0_41
    | spl0_97
    | ~ spl0_99
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s641,plain,
    ( ~ spl0_47
    | spl0_136
    | spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f2180]) ).

cnf(s651,plain,
    ( ~ spl0_26
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2195]) ).

cnf(s653,plain,
    ( ~ spl0_49
    | spl0_127
    | ~ spl0_129
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2214]) ).

cnf(s661,plain,
    ( ~ spl0_34
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s662,plain,
    ( ~ spl0_56
    | spl0_82
    | spl0_83
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f2246]) ).

cnf(s663,plain,
    ( ~ spl0_56
    | spl0_148
    | spl0_149
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2247]) ).

cnf(s665,plain,
    ( ~ spl0_57
    | spl0_121
    | ~ spl0_122
    | spl0_170 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s666,plain,
    ( ~ spl0_57
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2273]) ).

cnf(s668,plain,
    ( ~ spl0_58
    | spl0_121
    | ~ spl0_123
    | spl0_170 ),
    inference(sat_conversion,[],[f2295]) ).

cnf(s673,plain,
    ( ~ spl0_48
    | spl0_50
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f2319]) ).

cnf(s686,plain,
    ( ~ spl0_23
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s699,plain,
    ( ~ spl0_63
    | spl0_95
    | spl0_96
    | spl0_169 ),
    inference(sat_conversion,[],[f2383]) ).

cnf(s701,plain,
    ( ~ spl0_63
    | spl0_127
    | spl0_128
    | spl0_174 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s712,plain,
    ( ~ spl0_32
    | ~ spl0_143
    | ~ spl0_144
    | spl0_166 ),
    inference(sat_conversion,[],[f2396]) ).

cnf(s713,plain,
    ( ~ spl0_35
    | spl0_106
    | ~ spl0_108
    | spl0_162 ),
    inference(sat_conversion,[],[f2404]) ).

cnf(s714,plain,
    ( ~ spl0_56
    | spl0_107
    | ~ spl0_108
    | spl0_162 ),
    inference(sat_conversion,[],[f2406]) ).

cnf(s715,plain,
    ( ~ spl0_35
    | spl0_142
    | ~ spl0_143
    | spl0_166 ),
    inference(sat_conversion,[],[f2412]) ).

cnf(s716,plain,
    ( ~ spl0_46
    | spl0_97
    | ~ spl0_99
    | spl0_165 ),
    inference(sat_conversion,[],[f2420]) ).

cnf(s717,plain,
    ( ~ spl0_46
    | spl0_125
    | ~ spl0_126
    | spl0_164 ),
    inference(sat_conversion,[],[f2421]) ).

cnf(s718,plain,
    ( ~ spl0_10
    | spl0_33
    | ~ spl0_41
    | ~ spl0_22 ),
    inference(rat,[],[s32,s716,s500,s637,s125,s126,s127]) ).

cnf(s719,plain,
    ( ~ spl0_9
    | ~ spl0_23 ),
    inference(rat,[],[s535,s89,s90,s91]) ).

cnf(s720,plain,
    ( ~ spl0_19
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s641,s177,s178,s179,s75,s73,s442,s189,s190,s191,s12,s719,s18,s554,s416,s30,s622,s474,s44,s718,s651,s275,s598,s661,s715,s185,s186,s187,s41,s463,s97,s98,s99,s24,s100,s1]) ).

cnf(s721,plain,
    ( spl0_23
    | spl0_19
    | spl0_115
    | ~ spl0_116
    | ~ spl0_2 ),
    inference(rat,[],[s530,s173,s174,s175,s43,s539,s42,s416,s449,s31,s100,s463,s97,s98,s99,s233,s133,s134,s135,s9]) ).

cnf(s722,plain,
    ( spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s500,s637,s125,s126,s127,s35,s602,s417,s30,s622,s458,s721,s133,s134,s135,s9,s720,s149,s150,s151,s24,s2,s100,s99,s98,s1]) ).

cnf(s724,plain,
    ( ~ spl0_44
    | spl0_103
    | spl0_104
    | ~ spl0_105
    | ~ spl0_33
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(rat,[],[s318,s420,s93,s95,s51,s58,s607,s544,s663,s417,s503,s195,s194,s193,s233]) ).

cnf(s725,plain,
    ( spl0_49
    | ~ spl0_59
    | spl0_44
    | ~ spl0_33
    | spl0_40
    | ~ spl0_22 ),
    inference(rat,[],[s461,s597,s161,s162,s163,s673,s46,s36,s278]) ).

cnf(s726,plain,
    ( ~ spl0_143
    | spl0_142
    | ~ spl0_49
    | ~ spl0_35 ),
    inference(rat,[],[s275,s715]) ).

cnf(s727,plain,
    ( ~ spl0_43
    | ~ spl0_33 ),
    inference(rat,[],[s596,s113,s114,s115]) ).

cnf(s728,plain,
    ( spl0_19
    | ~ spl0_23
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s701,s653,s165,s166,s167,s62,s668,s686,s157,s158,s159,s54,s224,s237,s38,s727,s725,s69,s483,s42,s724,s233,s133,s134,s135,s17,s9,s463,s97,s80,s100,s290,s193,s194,s195,s722,s719,s622,s458,s99,s98,s1]) ).

cnf(s729,plain,
    ( ~ spl0_10
    | ~ spl0_46
    | ~ spl0_25 ),
    inference(rat,[],[s716,s590,s125,s126,s127]) ).

cnf(s730,plain,
    ( ~ spl0_13
    | ~ spl0_50 ),
    inference(rat,[],[s238,s181,s182,s183]) ).

cnf(s733,plain,
    ( ~ spl0_12
    | ~ spl0_41
    | ~ spl0_46 ),
    inference(rat,[],[s566,s717,s162,s163]) ).

cnf(s735,plain,
    ( ~ spl0_29
    | ~ spl0_56
    | ~ spl0_23 ),
    inference(rat,[],[s337,s591,s169,s170,s171]) ).

cnf(s739,plain,
    ( ~ spl0_38
    | ~ spl0_35 ),
    inference(rat,[],[s325,s101,s102,s103]) ).

cnf(s740,plain,
    ( ~ spl0_23
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s500,s32,s590,s729,s125,s126,s127,s44,s540,s713,s137,s138,s139,s23,s74,s442,s189,s190,s191,s12,s651,s598,s726,s715,s185,s186,s187,s728,s622,s719,s458,s739,s41,s463,s97,s98,s99,s100,s1]) ).

cnf(s741,plain,
    ( ~ spl0_7
    | ~ spl0_46 ),
    inference(rat,[],[s233,s133,s134,s135]) ).

cnf(s742,plain,
    ( ~ spl0_25
    | spl0_49
    | ~ spl0_46
    | spl0_23
    | ~ spl0_22 ),
    inference(rat,[],[s44,s729,s539]) ).

cnf(s743,plain,
    ( spl0_142
    | ~ spl0_46
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s554,s400,s149,s151,s56,s531,s663,s503,s42,s742,s18,s726,s661,s41,s463,s97,s98,s99,s100,s1,s195,s194,s193,s722,s740,s187,s186,s9,s741]) ).

cnf(s744,plain,
    ( ~ spl0_46
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s185,s743,s9,s741]) ).

cnf(s745,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s715,s598,s185,s186,s187,s721,s149,s150,s29,s727,s32,s503,s531,s31,s744,s740,s193,s195,s722,s41,s463,s97,s98,s99,s100,s1]) ).

cnf(s746,plain,
    ( ~ spl0_46
    | spl0_1 ),
    inference(rat,[],[s713,s540,s137,s138,s139,s23,s622,s458,s44,s742,s726,s185,s186,s9,s729,s741,s739,s41,s42,s504,s197,s198,s199,s745,s100,s463,s97,s98,s99,s1]) ).

cnf(s747,plain,
    ( ~ spl0_19
    | spl0_142
    | spl0_1 ),
    inference(rat,[],[s715,s598,s186,s187,s41,s463,s97,s98,s99,s32,s746,s100,s1,s504,s197,s198,s199,s745]) ).

cnf(s748,plain,
    ( spl0_40
    | spl0_1 ),
    inference(rat,[],[s725,s272,s713,s69,s137,s139,s483,s23,s739,s41,s42,s463,s97,s98,s99,s32,s746,s100,s1,s504,s197,s198,s199,s745]) ).

cnf(s749,plain,
    spl0_1,
    inference(rat,[],[s747,s185,s721,s458,s622,s748,s149,s150,s29,s727,s32,s746,s504,s197,s198,s199,s745,s98,s99,s100,s1]) ).

cnf(s750,plain,
    spl0_22,
    inference(rat,[],[s124,s749]) ).

cnf(s751,plain,
    ~ spl0_96,
    inference(rat,[],[s123,s749]) ).

cnf(s752,plain,
    ~ spl0_95,
    inference(rat,[],[s122,s749]) ).

cnf(s753,plain,
    ~ spl0_94,
    inference(rat,[],[s121,s749]) ).

cnf(s754,plain,
    ~ spl0_62,
    inference(rat,[],[s513,s751,s752,s753]) ).

cnf(s756,plain,
    ( spl0_25
    | spl0_33 ),
    inference(rat,[],[s442,s189,s190,s191,s78,s74,s754,s750]) ).

cnf(s757,plain,
    ( ~ spl0_39
    | ~ spl0_52
    | ~ spl0_35 ),
    inference(rat,[],[s713,s540,s137,s138,s139]) ).

cnf(s759,plain,
    ( ~ spl0_6
    | ~ spl0_40 ),
    inference(rat,[],[s498,s145,s146,s147]) ).

cnf(s760,plain,
    ( ~ spl0_35
    | ~ spl0_46 ),
    inference(rat,[],[s554,s400,s149,s151,s3,s759,s23,s757,s75,s641,s177,s178,s179,s73,s442,s189,s190,s191,s12,s719,s44,s742,s729,s756,s651,s598,s726,s715,s739,s187,s186,s185,s9,s741,s750]) ).

cnf(s761,plain,
    ( spl0_26
    | ~ spl0_23
    | spl0_61
    | spl0_35 ),
    inference(rat,[],[s75,s592,s641,s395,s177,s178,s179,s85,s86,s87,s73,s20,s750]) ).

cnf(s762,plain,
    ( spl0_166
    | spl0_61
    | ~ spl0_19 ),
    inference(rat,[],[s641,s177,s178,s179,s22,s75,s610,s712,s661,s187,s185,s186,s750]) ).

cnf(s763,plain,
    ( spl0_61
    | ~ spl0_25
    | ~ spl0_46 ),
    inference(rat,[],[s761,s742,s651,s275,s762,s187,s186,s185,s9,s741,s760,s750]) ).

cnf(s764,plain,
    ( ~ spl0_25
    | ~ spl0_46 ),
    inference(rat,[],[s442,s189,s190,s191,s12,s348,s93,s94,s95,s19,s719,s733,s18,s27,s554,s496,s400,s149,s150,s151,s3,s759,s533,s763,s729,s661,s187,s185,s186,s9,s741,s760,s750]) ).

cnf(s765,plain,
    ~ spl0_46,
    inference(rat,[],[s712,s598,s21,s756,s764,s760,s185,s186,s187,s9,s741,s750]) ).

cnf(s766,plain,
    ( spl0_40
    | spl0_49
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s725,s32,s500,s590,s125,s126,s127,s44,s757,s69,s23,s483,s739,s750,s765]) ).

cnf(s767,plain,
    ( ~ spl0_144
    | spl0_9
    | ~ spl0_40
    | ~ spl0_166
    | ~ spl0_143
    | spl0_142 ),
    inference(rat,[],[s502,s636,s189,s191,s12,s32,s651,s598,s750,s765]) ).

cnf(s768,plain,
    ( spl0_9
    | ~ spl0_40
    | spl0_49
    | ~ spl0_166
    | ~ spl0_143
    | spl0_142
    | ~ spl0_25 ),
    inference(rat,[],[s318,s420,s93,s95,s60,s530,s666,s173,s174,s175,s165,s166,s167,s43,s62,s278,s397,s17,s187,s767,s750,s765]) ).

cnf(s769,plain,
    ( ~ spl0_40
    | spl0_49
    | ~ spl0_25
    | ~ spl0_166
    | ~ spl0_143
    | spl0_142 ),
    inference(rat,[],[s530,s173,s174,s175,s43,s187,s598,s32,s500,s590,s125,s126,s127,s44,s31,s539,s719,s768,s765,s750]) ).

cnf(s770,plain,
    ( ~ spl0_143
    | spl0_142
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s769,s766,s726,s715]) ).

cnf(s771,plain,
    ( spl0_40
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s272,s713,s137,s139,s766,s23,s739,s750]) ).

cnf(s772,plain,
    ( ~ spl0_33
    | spl0_49
    | spl0_19
    | ~ spl0_25 ),
    inference(rat,[],[s318,s420,s93,s95,s60,s530,s666,s173,s174,s175,s165,s166,s167,s43,s62,s278,s397,s750,s765]) ).

cnf(s773,plain,
    ( ~ spl0_44
    | ~ spl0_56
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(rat,[],[s663,s503,s193,s194,s195,s79,s607,s417,s750,s754]) ).

cnf(s774,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | ~ spl0_25 ),
    inference(rat,[],[s318,s420,s93,s95]) ).

cnf(s775,plain,
    ( ~ spl0_14
    | ~ spl0_56 ),
    inference(rat,[],[s662,s105,s106,s107]) ).

cnf(s776,plain,
    ( ~ spl0_8
    | ~ spl0_49 ),
    inference(rat,[],[s271,s129,s130,s131]) ).

cnf(s777,plain,
    ( ~ spl0_23
    | spl0_8
    | spl0_21
    | spl0_30
    | ~ spl0_56
    | spl0_50
    | ~ spl0_40 ),
    inference(rat,[],[s665,s686,s157,s158,s159,s54,s405,s125,s126,s127,s4,s60,s289,s530,s636,s173,s174,s175,s189,s190,s191,s15,s37,s735,s719,s750]) ).

cnf(s778,plain,
    ( ~ spl0_20
    | ~ spl0_25 ),
    inference(rat,[],[s203,s81,s82,s83]) ).

cnf(s779,plain,
    ( spl0_19
    | ~ spl0_44
    | spl0_6 ),
    inference(rat,[],[s773,s133,s134,s135,s55,s9,s750]) ).

cnf(s780,plain,
    ( ~ spl0_19
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s770,s185,s186]) ).

cnf(s781,plain,
    ( ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s496,s777,s149,s150,s151,s10,s776,s29,s774,s772,s727,s32,s730,s779,s55,s77,s780,s778,s759,s771,s754,s765,s750]) ).

cnf(s782,plain,
    ( ~ spl0_21
    | spl0_25 ),
    inference(rat,[],[s318,s352,s93,s94,s95,s756,s72,s442,s189,s190,s191,s78,s750,s754]) ).

cnf(s783,plain,
    ( ~ spl0_39
    | ~ spl0_35 ),
    inference(rat,[],[s530,s173,s174,s175,s15,s520,s637,s125,s126,s127,s60,s44,s574,s272,s714,s757,s137,s138,s139,s735,s72,s442,s189,s190,s191,s78,s26,s782,s775,s58,s781,s750,s765,s754]) ).

cnf(s784,plain,
    ( ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s598,s762,s185,s187,s756,s442,s189,s190,s191,s78,s754,s750]) ).

cnf(s785,plain,
    ~ spl0_35,
    inference(rat,[],[s666,s165,s166,s167,s62,s397,s776,s777,s730,s77,s784,s60,s530,s173,s174,s175,s15,s496,s149,s150,s151,s29,s502,s636,s23,s783,s782,s735,s72,s442,s189,s190,s191,s727,s78,s58,s756,s781,s739,s750,s765,s754]) ).

cnf(s786,plain,
    ( ~ spl0_19
    | spl0_61
    | ~ spl0_25 ),
    inference(rat,[],[s210,s592,s18,s85,s86,s87,s761,s20,s651,s661,s762,s185,s186,s187,s750,s785]) ).

cnf(s787,plain,
    ( spl0_61
    | spl0_33
    | ~ spl0_25 ),
    inference(rat,[],[s31,s530,s719,s173,s174,s175,s17,s71,s786,s765,s750]) ).

cnf(s788,plain,
    ( spl0_33
    | ~ spl0_25 ),
    inference(rat,[],[s504,s197,s198,s199,s80,s699,s512,s787,s32,s750,s751,s752,s765]) ).

cnf(s789,plain,
    ~ spl0_25,
    inference(rat,[],[s530,s173,s174,s175,s71,s786,s60,s442,s666,s189,s190,s191,s165,s166,s167,s37,s40,s461,s597,s719,s161,s162,s163,s10,s19,s774,s788,s778,s750,s785]) ).

cnf(s793,plain,
    spl0_16,
    inference(rat,[],[s78,s754,s750,s789]) ).

cnf(s794,plain,
    ~ spl0_21,
    inference(rat,[],[s782,s789]) ).

cnf(s795,plain,
    ~ spl0_19,
    inference(rat,[],[s784,s789]) ).

cnf(s800,plain,
    spl0_147,
    inference(rat,[],[s191,s793]) ).

cnf(s801,plain,
    ~ spl0_146,
    inference(rat,[],[s190,s793]) ).

cnf(s802,plain,
    ~ spl0_145,
    inference(rat,[],[s189,s793]) ).

cnf(s805,plain,
    spl0_13,
    inference(rat,[],[s77,s754,s750,s795]) ).

cnf(s809,plain,
    ~ spl0_61,
    inference(rat,[],[s442,s800,s801,s802]) ).

cnf(s819,plain,
    ~ spl0_50,
    inference(rat,[],[s730,s805]) ).

cnf(s827,plain,
    spl0_28,
    inference(rat,[],[s71,s795,s750,s809]) ).

cnf(s829,plain,
    spl0_24,
    inference(rat,[],[s40,s785,s750,s819]) ).

cnf(s833,plain,
    spl0_135,
    inference(rat,[],[s175,s827]) ).

cnf(s834,plain,
    spl0_134,
    inference(rat,[],[s174,s827]) ).

cnf(s835,plain,
    ~ spl0_133,
    inference(rat,[],[s173,s827]) ).

cnf(s838,plain,
    spl0_129,
    inference(rat,[],[s167,s829]) ).

cnf(s839,plain,
    ~ spl0_128,
    inference(rat,[],[s166,s829]) ).

cnf(s840,plain,
    ~ spl0_127,
    inference(rat,[],[s165,s829]) ).

cnf(s842,plain,
    ~ spl0_45,
    inference(rat,[],[s530,s833,s834,s835]) ).

cnf(s847,plain,
    ~ spl0_57,
    inference(rat,[],[s666,s838,s839,s840]) ).

cnf(s849,plain,
    $false,
    inference(rat,[],[s60,s794,s750,s847,s842]) ).

fof(f2422,plain,
    $false,
    inference(avatar_sat_refutation,[],[s849]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN503+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n020.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:19:05 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/1.12  % (281926)Detected formulas, will run a generic FOF schedule.
% 2.95/1.12  % (281935)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3713366712:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.95/1.12  % (281935)Instruction limit reached! 
% 2.95/1.12  % (281935)------------------------------
% 2.95/1.12  % (281935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.12  % (281935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.12  % (281935)CaDiCaL version: 2.1.3
% 2.95/1.12  % (281935)Termination reason: Instruction limit
% 2.95/1.12  % (281935)Termination phase: Saturation
% 2.95/1.12  % (281935)Time elapsed: 0.032 s
% 2.95/1.12  % (281935)Peak memory usage: 88 MB
% 2.95/1.12  % (281935)Instructions burned: 123 (million)
% 2.95/1.12  % (281937)dis-21_1_sil=8000:lcm=predicate:random_seed=1724002355:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.95/1.12  % (281931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3146171324:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.95/1.12  % (281934)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=462864340:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.95/1.12  % (281932)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3236340462:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.95/1.12  % (281933)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1168038936:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.95/1.12  % (281936)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2015765839:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.95/1.12  % (281937)First to succeed.
% 2.95/1.12  % (281937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-281926"
% 2.95/1.12  % (281936)Also succeeded, but the first one will report.
% 2.95/1.12  % (281934)Instruction limit reached! 
% 2.95/1.12  % (281934)------------------------------
% 2.95/1.12  % (281934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.12  % (281934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.12  % (281934)CaDiCaL version: 2.1.3
% 2.95/1.12  % (281934)Termination reason: Instruction limit
% 2.95/1.12  % (281934)Termination phase: Saturation
% 2.95/1.12  % (281934)Time elapsed: 0.071 s
% 2.95/1.12  % (281934)Peak memory usage: 90 MB
% 2.95/1.12  % (281934)Instructions burned: 110 (million)
% 2.95/1.12  % (281939)lrs+10_1_sil=8000:sp=occurrence:random_seed=2217240689:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.95/1.12  % (281939)Also succeeded, but the first one will report.
% 2.95/1.12  % (281946)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4100630347:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.95/1.12  % (281946)Also succeeded, but the first one will report.
% 2.95/1.12  % (281937)Refutation found. Thanks to Tanya!
% 2.95/1.12  % SZS status Theorem for theBenchmark
% 2.95/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.31  % (281937)------------------------------
% 3.81/1.31  % (281937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31  % (281937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31  % (281937)CaDiCaL version: 2.1.3
% 3.81/1.31  % (281937)Termination reason: Refutation
% 3.81/1.31  % (281937)Time elapsed: 0.043 s
% 3.81/1.31  % (281937)Peak memory usage: 90 MB
% 3.81/1.31  % (281937)Instructions burned: 72 (million)
% 3.81/1.31  % (281937)------------------------------
% 3.81/1.31  % (281937)------------------------------
% 3.81/1.31  % (281926)Success in time 0.45 s
% 3.81/1.31  % Vampire exiting
%------------------------------------------------------------------------------