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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN505+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:16:01 PM UTC 2026

% Result   : Theorem 0.19s 0.31s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  862 (  21 unt; 122 def)
%            Number of atoms       : 6684 (   0 equ)
%            Maximal formula atoms :  749 (   7 avg)
%            Number of connectives : 8840 (3018   ~;4314   |;1035   &)
%                                         ( 122 <=>; 351  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  810 (   0 sgn 810   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a462)
          & c2_1(a462)
          & ~ c1_1(a462) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a463)
          & ~ c1_1(a463)
          & ~ c3_1(a463) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a464)
          & ~ c0_1(a464)
          & ~ c2_1(a464) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c3_1(a465)
          & ~ c0_1(a465)
          & ~ c1_1(a465) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a466)
          & ~ c1_1(a466)
          & ~ c3_1(a466) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a467)
          & ~ c1_1(a467)
          & ~ c3_1(a467) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a470)
          & ~ c1_1(a470)
          & ~ c2_1(a470) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a471)
          & c3_1(a471)
          & ~ c2_1(a471) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a472)
          & c3_1(a472)
          & ~ c2_1(a472) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a477)
          & c3_1(a477)
          & ~ c1_1(a477) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a478)
          & ~ c0_1(a478)
          & ~ c3_1(a478) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a479)
          & c3_1(a479)
          & ~ c1_1(a479) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a481)
          & ~ c0_1(a481)
          & ~ c3_1(a481) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a482)
          & ~ c1_1(a482)
          & ~ c2_1(a482) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a483)
          & c2_1(a483)
          & ~ c0_1(a483) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a484)
          & c2_1(a484)
          & ~ c3_1(a484) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a487)
          & ~ c1_1(a487)
          & ~ c2_1(a487) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a493)
          & c3_1(a493)
          & ~ c0_1(a493) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a494)
          & ~ c2_1(a494)
          & ~ c3_1(a494) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a500)
          & ~ c2_1(a500)
          & ~ c3_1(a500) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a506)
          & c2_1(a506)
          & ~ c3_1(a506) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a507)
          & ~ c0_1(a507)
          & ~ c1_1(a507) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a519)
          & ~ c0_1(a519)
          & ~ c2_1(a519) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a521)
          & ~ c2_1(a521)
          & ~ c3_1(a521) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a525)
          & c1_1(a525)
          & ~ c2_1(a525) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a545)
          & c3_1(a545)
          & ~ c0_1(a545) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a559)
          & c1_1(a559)
          & ~ c3_1(a559) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c1_1(a576)
          & ~ c2_1(a576)
          & ~ c3_1(a576) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a469)
          & c2_1(a469)
          & c3_1(a469) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a474)
          & c1_1(a474)
          & c2_1(a474) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a488)
          & c2_1(a488)
          & c3_1(a488) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a529)
          & c1_1(a529)
          & c3_1(a529) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | ~ c0_1(X1)
              | ~ c2_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | hskp1
        | hskp2 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp3
        | hskp4 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c3_1(X6)
              | ~ c1_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | ~ c1_1(X8) ) )
        | hskp5 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c1_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c0_1(X11)
              | ~ c3_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c3_1(X14)
              | ~ c0_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c3_1(X17)
              | ~ c0_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | c3_1(X19)
              | ~ c1_1(X19) ) )
        | hskp5 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) )
        | hskp28 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | ~ c1_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c3_1(X24)
              | ~ c1_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c1_1(X26)
              | ~ c3_1(X26) ) )
        | hskp6 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | hskp7
        | hskp8 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) )
        | hskp6 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | hskp29
        | hskp0 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | c2_1(X32)
              | ~ c0_1(X32) ) )
        | hskp29 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c2_1(X34)
              | ~ c0_1(X34) ) )
        | hskp9 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) )
        | hskp10 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c2_1(X38)
              | ~ c3_1(X38) ) )
        | hskp11 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp5
        | hskp12 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c1_1(X42) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c0_1(X44)
              | ~ c2_1(X44) ) )
        | hskp13 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c1_1(X46)
              | ~ c3_1(X46) ) )
        | hskp14 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | hskp15
        | hskp1 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp7
        | hskp16 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | ~ c0_1(X50) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | hskp30
        | hskp1 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | ~ c0_1(X53) ) )
        | hskp5 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) )
        | hskp16 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c2_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | ~ c0_1(X58)
              | ~ c1_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp7
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp18
        | hskp6 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c3_1(X65)
              | ~ c0_1(X65) ) )
        | hskp16 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | hskp2 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c1_1(X69) ) )
        | hskp14 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | hskp18
        | hskp19 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | hskp17
        | hskp9 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c3_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) )
        | hskp2 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | hskp18
        | hskp1 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | hskp20
        | hskp21 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | hskp30
        | hskp21 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c0_1(X80)
              | ~ c2_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp12 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c2_1(X83) ) )
        | hskp18 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | hskp17
        | hskp21 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | hskp0 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c2_1(X90)
              | ~ c3_1(X90) ) )
        | hskp6 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c1_1(X91) ) )
        | hskp11
        | hskp9 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | hskp20
        | hskp22 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | hskp9
        | hskp23 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | ~ c0_1(X94)
              | ~ c1_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c1_1(X95)
              | ~ c2_1(X95) ) )
        | hskp29 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp5
        | hskp17 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c3_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c2_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp24
        | hskp8 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp30
        | hskp12 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c2_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp31 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c2_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | hskp7 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp18
        | hskp17 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | hskp31 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | hskp18
        | hskp4 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp14
        | hskp10 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp8
        | hskp13 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp6
        | hskp4 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp24
        | hskp10 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp14
        | hskp25 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp25
        | hskp3 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp8
        | hskp17 )
      & ( hskp29
        | hskp15
        | hskp9 )
      & ( hskp29
        | hskp12
        | hskp3 )
      & ( hskp31
        | hskp19
        | hskp10 )
      & ( hskp26
        | hskp16
        | hskp13 )
      & ( hskp26
        | hskp2
        | hskp23 )
      & ( hskp0
        | hskp30
        | hskp10 )
      & ( hskp0
        | hskp14
        | hskp25 )
      & ( hskp11
        | hskp12
        | hskp9 )
      & ( hskp7
        | hskp8
        | hskp27 )
      & ( hskp5
        | hskp3
        | hskp23 )
      & ( hskp22
        | hskp1
        | hskp13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a462)
            & c2_1(a462)
            & ~ c1_1(a462) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a463)
            & ~ c1_1(a463)
            & ~ c3_1(a463) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a464)
            & ~ c0_1(a464)
            & ~ c2_1(a464) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c3_1(a465)
            & ~ c0_1(a465)
            & ~ c1_1(a465) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a466)
            & ~ c1_1(a466)
            & ~ c3_1(a466) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a467)
            & ~ c1_1(a467)
            & ~ c3_1(a467) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a470)
            & ~ c1_1(a470)
            & ~ c2_1(a470) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a471)
            & c3_1(a471)
            & ~ c2_1(a471) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a472)
            & c3_1(a472)
            & ~ c2_1(a472) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a477)
            & c3_1(a477)
            & ~ c1_1(a477) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a478)
            & ~ c0_1(a478)
            & ~ c3_1(a478) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a479)
            & c3_1(a479)
            & ~ c1_1(a479) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a481)
            & ~ c0_1(a481)
            & ~ c3_1(a481) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a482)
            & ~ c1_1(a482)
            & ~ c2_1(a482) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a483)
            & c2_1(a483)
            & ~ c0_1(a483) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a484)
            & c2_1(a484)
            & ~ c3_1(a484) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a487)
            & ~ c1_1(a487)
            & ~ c2_1(a487) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a493)
            & c3_1(a493)
            & ~ c0_1(a493) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a494)
            & ~ c2_1(a494)
            & ~ c3_1(a494) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a500)
            & ~ c2_1(a500)
            & ~ c3_1(a500) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a506)
            & c2_1(a506)
            & ~ c3_1(a506) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a507)
            & ~ c0_1(a507)
            & ~ c1_1(a507) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a519)
            & ~ c0_1(a519)
            & ~ c2_1(a519) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a521)
            & ~ c2_1(a521)
            & ~ c3_1(a521) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a525)
            & c1_1(a525)
            & ~ c2_1(a525) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a545)
            & c3_1(a545)
            & ~ c0_1(a545) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a559)
            & c1_1(a559)
            & ~ c3_1(a559) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c1_1(a576)
            & ~ c2_1(a576)
            & ~ c3_1(a576) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a469)
            & c2_1(a469)
            & c3_1(a469) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a474)
            & c1_1(a474)
            & c2_1(a474) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a488)
            & c2_1(a488)
            & c3_1(a488) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a529)
            & c1_1(a529)
            & c3_1(a529) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c0_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | hskp1
          | hskp2 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp3
          | hskp4 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c3_1(X6)
                | ~ c1_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | ~ c1_1(X8) ) )
          | hskp5 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c0_1(X11)
                | ~ c3_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | ~ c0_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | ~ c0_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) )
          | hskp5 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | hskp28 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | ~ c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c1_1(X26)
                | ~ c3_1(X26) ) )
          | hskp6 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | hskp7
          | hskp8 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) )
          | hskp6 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | hskp29
          | hskp0 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c2_1(X32)
                | ~ c0_1(X32) ) )
          | hskp29 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c0_1(X34) ) )
          | hskp9 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) )
          | hskp10 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c2_1(X38)
                | ~ c3_1(X38) ) )
          | hskp11 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp5
          | hskp12 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) )
          | hskp13 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp14 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | hskp15
          | hskp1 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp7
          | hskp16 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c0_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | hskp30
          | hskp1 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | ~ c0_1(X53) ) )
          | hskp5 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | hskp16 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c2_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c0_1(X58)
                | ~ c1_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp7
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp18
          | hskp6 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | ~ c0_1(X65) ) )
          | hskp16 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | hskp2 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c1_1(X69) ) )
          | hskp14 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | hskp18
          | hskp19 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | hskp17
          | hskp9 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) )
          | hskp2 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | hskp18
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp20
          | hskp21 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | hskp30
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp12 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c2_1(X83) ) )
          | hskp18 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | hskp17
          | hskp21 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | hskp0 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) )
          | hskp6 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | hskp11
          | hskp9 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp20
          | hskp22 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | hskp9
          | hskp23 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c0_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) )
          | hskp29 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp5
          | hskp17 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c2_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp24
          | hskp8 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp30
          | hskp12 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp31 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | hskp7 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp18
          | hskp17 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp31 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp18
          | hskp4 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp14
          | hskp10 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp8
          | hskp13 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp6
          | hskp4 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp24
          | hskp10 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp14
          | hskp25 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp25
          | hskp3 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp8
          | hskp17 )
        & ( hskp29
          | hskp15
          | hskp9 )
        & ( hskp29
          | hskp12
          | hskp3 )
        & ( hskp31
          | hskp19
          | hskp10 )
        & ( hskp26
          | hskp16
          | hskp13 )
        & ( hskp26
          | hskp2
          | hskp23 )
        & ( hskp0
          | hskp30
          | hskp10 )
        & ( hskp0
          | hskp14
          | hskp25 )
        & ( hskp11
          | hskp12
          | hskp9 )
        & ( hskp7
          | hskp8
          | hskp27 )
        & ( hskp5
          | hskp3
          | hskp23 )
        & ( hskp22
          | hskp1
          | hskp13 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c1_1(a463)
        & ~ c3_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c0_1(a464)
        & ~ c2_1(a464) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a465)
        & ~ c0_1(a465)
        & ~ c1_1(a465) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a466)
        & ~ c1_1(a466)
        & ~ c3_1(a466) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a467)
        & ~ c1_1(a467)
        & ~ c3_1(a467) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a470)
        & ~ c1_1(a470)
        & ~ c2_1(a470) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a471)
        & c3_1(a471)
        & ~ c2_1(a471) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a472)
        & c3_1(a472)
        & ~ c2_1(a472) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a479)
        & c3_1(a479)
        & ~ c1_1(a479) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a481)
        & ~ c0_1(a481)
        & ~ c3_1(a481) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a483)
        & c2_1(a483)
        & ~ c0_1(a483) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a484)
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a487)
        & ~ c1_1(a487)
        & ~ c2_1(a487) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a493)
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a494)
        & ~ c2_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a500)
        & ~ c2_1(a500)
        & ~ c3_1(a500) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a506)
        & c2_1(a506)
        & ~ c3_1(a506) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a521)
        & ~ c2_1(a521)
        & ~ c3_1(a521) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a525)
        & c1_1(a525)
        & ~ c2_1(a525) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a545)
        & c3_1(a545)
        & ~ c0_1(a545) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a559)
        & c1_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a576)
        & ~ c2_1(a576)
        & ~ c3_1(a576) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a469)
        & c2_1(a469)
        & c3_1(a469) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a474)
        & c1_1(a474)
        & c2_1(a474) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a488)
        & c2_1(a488)
        & c3_1(a488) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a529)
        & c1_1(a529)
        & c3_1(a529) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | ~ c0_1(X1)
            | ~ c2_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | hskp3
      | hskp4 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c2_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c3_1(X6)
            | ~ c1_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c2_1(X8)
            | ~ c1_1(X8) ) )
      | hskp5 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c0_1(X11)
            | ~ c3_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | c3_1(X14)
            | ~ c0_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c2_1(X16)
            | ~ c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | ~ c0_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | c3_1(X19)
            | ~ c1_1(X19) ) )
      | hskp5 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c2_1(X21)
            | ~ c3_1(X21) ) )
      | hskp28 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c3_1(X24)
            | ~ c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | ~ c1_1(X26)
            | ~ c3_1(X26) ) )
      | hskp6 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | hskp7
      | hskp8 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) )
      | hskp6 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | hskp29
      | hskp0 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | c2_1(X32)
            | ~ c0_1(X32) ) )
      | hskp29 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c2_1(X34)
            | ~ c0_1(X34) ) )
      | hskp9 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) )
      | hskp10 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c2_1(X38)
            | ~ c3_1(X38) ) )
      | hskp11 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | hskp5
      | hskp12 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c3_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c0_1(X42)
            | ~ c1_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | ~ c0_1(X44)
            | ~ c2_1(X44) ) )
      | hskp13 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c1_1(X46)
            | ~ c3_1(X46) ) )
      | hskp14 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | hskp15
      | hskp1 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | hskp7
      | hskp16 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | ~ c0_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | hskp30
      | hskp1 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | ~ c0_1(X53) ) )
      | hskp5 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) )
      | hskp16 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c2_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | ~ c0_1(X58)
            | ~ c1_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c2_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp7
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp18
      | hskp6 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c3_1(X65)
            | ~ c0_1(X65) ) )
      | hskp16 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | hskp2 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c3_1(X69)
            | ~ c1_1(X69) ) )
      | hskp14 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c0_1(X70) ) )
      | hskp18
      | hskp19 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | hskp17
      | hskp9 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c3_1(X74)
            | ~ c1_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) )
      | hskp2 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) )
      | hskp18
      | hskp1 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | hskp20
      | hskp21 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) )
      | hskp30
      | hskp21 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | ~ c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp12 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c2_1(X83) ) )
      | hskp18 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | hskp17
      | hskp21 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c1_1(X86) ) )
      | hskp0 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c3_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | ~ c1_1(X88)
            | ~ c2_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c2_1(X90)
            | ~ c3_1(X90) ) )
      | hskp6 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c1_1(X91) ) )
      | hskp11
      | hskp9 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c3_1(X92)
            | ~ c1_1(X92) ) )
      | hskp20
      | hskp22 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | hskp9
      | hskp23 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | ~ c0_1(X94)
            | ~ c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c1_1(X95)
            | ~ c2_1(X95) ) )
      | hskp29 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | hskp5
      | hskp17 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | ~ c2_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp24
      | hskp8 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | hskp30
      | hskp12 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | ~ c0_1(X102)
            | ~ c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp31 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | hskp7 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c1_1(X106)
            | ~ c2_1(X106) ) )
      | hskp18
      | hskp17 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | ~ c1_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c1_1(X108)
            | ~ c3_1(X108) ) )
      | hskp31 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | hskp18
      | hskp4 )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | ~ c2_1(X110) ) )
      | hskp14
      | hskp10 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | hskp8
      | hskp13 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c2_1(X112) ) )
      | hskp6
      | hskp4 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c2_1(X113)
            | ~ c3_1(X113) ) )
      | hskp24
      | hskp10 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c2_1(X114)
            | ~ c3_1(X114) ) )
      | hskp14
      | hskp25 )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c2_1(X115)
            | ~ c3_1(X115) ) )
      | hskp25
      | hskp3 )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c2_1(X116)
            | ~ c3_1(X116) ) )
      | hskp8
      | hskp17 )
    & ( hskp29
      | hskp15
      | hskp9 )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( hskp26
      | hskp16
      | hskp13 )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( hskp0
      | hskp30
      | hskp10 )
    & ( hskp0
      | hskp14
      | hskp25 )
    & ( hskp11
      | hskp12
      | hskp9 )
    & ( hskp7
      | hskp8
      | hskp27 )
    & ( hskp5
      | hskp3
      | hskp23 )
    & ( hskp22
      | hskp1
      | hskp13 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c1_1(a463)
        & ~ c3_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c0_1(a464)
        & ~ c2_1(a464) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a465)
        & ~ c0_1(a465)
        & ~ c1_1(a465) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a466)
        & ~ c1_1(a466)
        & ~ c3_1(a466) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a467)
        & ~ c1_1(a467)
        & ~ c3_1(a467) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a470)
        & ~ c1_1(a470)
        & ~ c2_1(a470) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a471)
        & c3_1(a471)
        & ~ c2_1(a471) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a472)
        & c3_1(a472)
        & ~ c2_1(a472) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a479)
        & c3_1(a479)
        & ~ c1_1(a479) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a481)
        & ~ c0_1(a481)
        & ~ c3_1(a481) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a483)
        & c2_1(a483)
        & ~ c0_1(a483) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a484)
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a487)
        & ~ c1_1(a487)
        & ~ c2_1(a487) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a493)
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a494)
        & ~ c2_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a500)
        & ~ c2_1(a500)
        & ~ c3_1(a500) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a506)
        & c2_1(a506)
        & ~ c3_1(a506) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a521)
        & ~ c2_1(a521)
        & ~ c3_1(a521) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a525)
        & c1_1(a525)
        & ~ c2_1(a525) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a545)
        & c3_1(a545)
        & ~ c0_1(a545) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a559)
        & c1_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a576)
        & ~ c2_1(a576)
        & ~ c3_1(a576) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a469)
        & c2_1(a469)
        & c3_1(a469) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a474)
        & c1_1(a474)
        & c2_1(a474) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a488)
        & c2_1(a488)
        & c3_1(a488) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a529)
        & c1_1(a529)
        & c3_1(a529) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c3_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | c3_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp5
      | hskp12 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15
      | hskp1 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp30
      | hskp1 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp7
      | hskp17 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp6 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp17
      | hskp9 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp18
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp30
      | hskp21 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp17
      | hskp21 )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X87] :
          ( c2_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp9
      | hskp23 )
    & ( ! [X94] :
          ( c2_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp17 )
    & ( ! [X97] :
          ( c3_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp24
      | hskp8 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp30
      | hskp12 )
    & ( ! [X102] :
          ( c3_1(X102)
          | ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp18
      | hskp17 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp18
      | hskp4 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp8
      | hskp13 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp24
      | hskp10 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp14
      | hskp25 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp8
      | hskp17 )
    & ( hskp29
      | hskp15
      | hskp9 )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( hskp26
      | hskp16
      | hskp13 )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( hskp0
      | hskp30
      | hskp10 )
    & ( hskp0
      | hskp14
      | hskp25 )
    & ( hskp11
      | hskp12
      | hskp9 )
    & ( hskp7
      | hskp8
      | hskp27 )
    & ( hskp5
      | hskp3
      | hskp23 )
    & ( hskp22
      | hskp1
      | hskp13 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c1_1(a463)
        & ~ c3_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c0_1(a464)
        & ~ c2_1(a464) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a465)
        & ~ c0_1(a465)
        & ~ c1_1(a465) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a466)
        & ~ c1_1(a466)
        & ~ c3_1(a466) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a467)
        & ~ c1_1(a467)
        & ~ c3_1(a467) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a470)
        & ~ c1_1(a470)
        & ~ c2_1(a470) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a471)
        & c3_1(a471)
        & ~ c2_1(a471) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a472)
        & c3_1(a472)
        & ~ c2_1(a472) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a479)
        & c3_1(a479)
        & ~ c1_1(a479) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a481)
        & ~ c0_1(a481)
        & ~ c3_1(a481) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a483)
        & c2_1(a483)
        & ~ c0_1(a483) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a484)
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a487)
        & ~ c1_1(a487)
        & ~ c2_1(a487) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a493)
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a494)
        & ~ c2_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a500)
        & ~ c2_1(a500)
        & ~ c3_1(a500) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a506)
        & c2_1(a506)
        & ~ c3_1(a506) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a521)
        & ~ c2_1(a521)
        & ~ c3_1(a521) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a525)
        & c1_1(a525)
        & ~ c2_1(a525) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a545)
        & c3_1(a545)
        & ~ c0_1(a545) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a559)
        & c1_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a576)
        & ~ c2_1(a576)
        & ~ c3_1(a576) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a469)
        & c2_1(a469)
        & c3_1(a469) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a474)
        & c1_1(a474)
        & c2_1(a474) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a488)
        & c2_1(a488)
        & c3_1(a488) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a529)
        & c1_1(a529)
        & c3_1(a529) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c3_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | c3_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c2_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp5
      | hskp12 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15
      | hskp1 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp30
      | hskp1 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp7
      | hskp17 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp6 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp17
      | hskp9 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp18
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp30
      | hskp21 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp17
      | hskp21 )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X87] :
          ( c2_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp9
      | hskp23 )
    & ( ! [X94] :
          ( c2_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp17 )
    & ( ! [X97] :
          ( c3_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp24
      | hskp8 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp30
      | hskp12 )
    & ( ! [X102] :
          ( c3_1(X102)
          | ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp18
      | hskp17 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp18
      | hskp4 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp8
      | hskp13 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp24
      | hskp10 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp14
      | hskp25 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp8
      | hskp17 )
    & ( hskp29
      | hskp15
      | hskp9 )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( hskp26
      | hskp16
      | hskp13 )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( hskp0
      | hskp30
      | hskp10 )
    & ( hskp0
      | hskp14
      | hskp25 )
    & ( hskp11
      | hskp12
      | hskp9 )
    & ( hskp7
      | hskp8
      | hskp27 )
    & ( hskp5
      | hskp3
      | hskp23 )
    & ( hskp22
      | hskp1
      | hskp13 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp22
    | hskp1
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp7
    | hskp8
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp0
    | hskp30
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp26
    | hskp16
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp31
    | hskp19
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp29
    | hskp12
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X113] :
      ( ~ c0_1(X113)
      | ~ c2_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp24
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | hskp8
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X106] :
      ( c3_1(X106)
      | ~ c1_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0
      | hskp18
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X101] :
      ( c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | hskp30
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X100] :
      ( c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | hskp24
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X98,X99,X97] :
      ( c3_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | ~ c0_1(X98)
      | ~ c2_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X96] :
      ( c2_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp5
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X94,X95] :
      ( c2_1(X94)
      | ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | c3_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X85] :
      ( c2_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X72,X73,X74] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | c3_1(X74)
      | ~ c1_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X70] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | c3_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X59,X60,X61] :
      ( c0_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | c1_1(X57)
      | c2_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | c3_1(X58)
      | ~ c0_1(X58)
      | ~ c1_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X51] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | hskp30
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c2_1(X50)
      | ~ c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X48] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | hskp7
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | hskp15
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ c1_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | c3_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp5
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c1_1(X32)
      | c2_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp31
    | c1_1(a529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp31
    | c0_1(a529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp30
    | c3_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp30
    | c2_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp30
    | c1_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp29
    | c2_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp29
    | c1_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp29
    | c0_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp27
    | ~ c3_1(a576) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp27
    | ~ c2_1(a576) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp27
    | ~ c1_1(a576) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp26
    | c1_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp26
    | c0_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp24
    | ~ c2_1(a525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp24
    | c0_1(a525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp19
    | ~ c3_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp19
    | ~ c2_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp19
    | c1_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp18
    | ~ c2_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp18
    | c0_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp17
    | ~ c0_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp17
    | c3_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp17
    | c2_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp16
    | ~ c1_1(a487) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp16
    | c0_1(a487) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp15
    | ~ c3_1(a484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp15
    | c2_1(a484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp15
    | c0_1(a484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp14
    | ~ c0_1(a483) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp14
    | c2_1(a483) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp14
    | c1_1(a483) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c2_1(a482) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp13
    | ~ c1_1(a482) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp13
    | c3_1(a482) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp12
    | ~ c3_1(a481) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp12
    | ~ c0_1(a481) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp12
    | c1_1(a481) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp10
    | ~ c3_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp10
    | ~ c0_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp10
    | c2_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c2_1(a472) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp8
    | c3_1(a472) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp8
    | c1_1(a472) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp7
    | ~ c2_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp7
    | c3_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | c0_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp5
    | ~ c3_1(a467) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp5
    | ~ c1_1(a467) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp5
    | c0_1(a467) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp3
    | ~ c1_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp3
    | ~ c0_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp3
    | c3_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp2
    | ~ c2_1(a464) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp2
    | ~ c0_1(a464) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp2
    | c3_1(a464) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f209,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp0
    | ~ c1_1(a462) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp0
    | c2_1(a462) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp0
    | c0_1(a462) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    ( hskp0
    | c0_1(a462) ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f216,plain,
    ( hskp0
    | c2_1(a462) ),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f217,plain,
    ( hskp0
    | ~ c1_1(a462) ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f218,plain,
    ( ~ hskp1
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f221,plain,
    ( hskp2
    | ~ c3_1(a464) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f222,plain,
    ( hskp2
    | ~ c0_1(a464) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f223,plain,
    ( hskp2
    | ~ c2_1(a464) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f225,plain,
    ( ~ hskp3
    | ~ c3_1(a465) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f231,plain,
    ( hskp5
    | c0_1(a467) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f232,plain,
    ( hskp5
    | ~ c1_1(a467) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f233,plain,
    ( hskp5
    | c3_1(a467) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f236,plain,
    ( hskp7
    | c0_1(a471) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f237,plain,
    ( hskp7
    | ~ c3_1(a471) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f238,plain,
    ( hskp7
    | ~ c2_1(a471) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f240,plain,
    ( hskp8
    | c1_1(a472) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f241,plain,
    ( hskp8
    | ~ c3_1(a472) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f242,plain,
    ( hskp8
    | ~ c2_1(a472) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f246,plain,
    ( ~ hskp10
    | c3_1(a478) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f250,plain,
    ( hskp12
    | c1_1(a481) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f251,plain,
    ( hskp12
    | ~ c0_1(a481) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f252,plain,
    ( hskp12
    | c3_1(a481) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f253,plain,
    ( ~ hskp13
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f254,plain,
    ( ~ hskp13
    | ~ c3_1(a482) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f256,plain,
    ( hskp14
    | c1_1(a483) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f257,plain,
    ( hskp14
    | c2_1(a483) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f258,plain,
    ( hskp14
    | ~ c0_1(a483) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f260,plain,
    ( hskp15
    | c0_1(a484) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f261,plain,
    ( hskp15
    | c2_1(a484) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f262,plain,
    ( hskp15
    | c3_1(a484) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f265,plain,
    ( ~ hskp17
    | ~ c3_1(a493) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f267,plain,
    ( ~ hskp18
    | c3_1(a494) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f269,plain,
    ( hskp19
    | c1_1(a500) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f270,plain,
    ( hskp19
    | ~ c2_1(a500) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f271,plain,
    ( hskp19
    | c3_1(a500) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f278,plain,
    ( ~ hskp22
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f282,plain,
    ( hskp24
    | c0_1(a525) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f284,plain,
    ( hskp24
    | ~ c2_1(a525) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f288,plain,
    ( ~ hskp26
    | c3_1(a559) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f290,plain,
    ( hskp27
    | ~ c1_1(a576) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f291,plain,
    ( hskp27
    | ~ c2_1(a576) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f292,plain,
    ( hskp27
    | c3_1(a576) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f298,plain,
    ( hskp29
    | c0_1(a474) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f299,plain,
    ( hskp29
    | c1_1(a474) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f300,plain,
    ( hskp29
    | c2_1(a474) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f302,plain,
    ( ~ hskp30
    | ~ c3_1(a488) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f304,plain,
    ( hskp31
    | c0_1(a529) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f305,plain,
    ( hskp31
    | c1_1(a529) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f322,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ndr1_0
      | c1_1(X32)
      | c2_1(X32)
      | ~ c0_1(X32)
      | ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f324,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | c3_1(X36)
      | ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f326,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | c3_1(X39)
      | ndr1_0
      | ~ hskp5
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f327,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | ~ c3_1(X40)
      | ~ c1_1(X40)
      | ndr1_0
      | c1_1(X41)
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | ndr1_0
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c1_1(X42)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f328,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | ndr1_0
      | c1_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f329,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | ndr1_0
      | c0_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f330,plain,
    ! [X47] :
      ( c0_1(X47)
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | ndr1_0
      | ~ hskp15
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f331,plain,
    ! [X48] :
      ( c0_1(X48)
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | ndr1_0
      | ~ hskp7
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f332,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ndr1_0
      | c1_1(X50)
      | c2_1(X50)
      | ~ c0_1(X50)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f333,plain,
    ! [X51] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ndr1_0
      | hskp30
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f334,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | c3_1(X52)
      | ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c0_1(X53)
      | ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f335,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ndr1_0
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | c3_1(X55)
      | ndr1_0
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f336,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | ~ c2_1(X56)
      | c3_1(X56)
      | ndr1_0
      | c1_1(X57)
      | c2_1(X57)
      | ~ c3_1(X57)
      | ndr1_0
      | ~ c3_1(X58)
      | ~ c0_1(X58)
      | ~ c1_1(X58)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f337,plain,
    ! [X59,X60,X61] :
      ( c0_1(X59)
      | ~ c2_1(X59)
      | c3_1(X59)
      | ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f340,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | ~ c3_1(X64)
      | ndr1_0
      | c1_1(X65)
      | ~ c3_1(X65)
      | ~ c0_1(X65)
      | ndr1_0
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f341,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c3_1(X66)
      | ndr1_0
      | c1_1(X67)
      | ~ c2_1(X67)
      | c3_1(X67)
      | ndr1_0
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f342,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ndr1_0
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ c1_1(X69)
      | ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f343,plain,
    ! [X70] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ndr1_0
      | hskp18
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f345,plain,
    ! [X72,X73,X74] :
      ( c1_1(X72)
      | c2_1(X72)
      | c3_1(X72)
      | ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | c3_1(X73)
      | ndr1_0
      | c2_1(X74)
      | ~ c3_1(X74)
      | ~ c1_1(X74)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f350,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | c3_1(X81)
      | ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f351,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | c3_1(X82)
      | ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X83)
      | ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f353,plain,
    ! [X86,X85] :
      ( c2_1(X85)
      | ~ c3_1(X85)
      | ~ c0_1(X85)
      | ndr1_0
      | c2_1(X86)
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f354,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | ndr1_0
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f359,plain,
    ! [X94,X95] :
      ( c2_1(X94)
      | ~ c0_1(X94)
      | ~ c1_1(X94)
      | ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f360,plain,
    ! [X96] :
      ( c2_1(X96)
      | ~ c0_1(X96)
      | c3_1(X96)
      | ndr1_0
      | ~ hskp5
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f361,plain,
    ! [X98,X99,X97] :
      ( ~ c3_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ndr1_0
      | ~ c0_1(X98)
      | ~ c2_1(X98)
      | c3_1(X98)
      | ndr1_0
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | c3_1(X99)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f362,plain,
    ! [X100] :
      ( ~ c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ndr1_0
      | ~ hskp24
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f363,plain,
    ! [X101] :
      ( ~ c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ndr1_0
      | hskp30
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f366,plain,
    ! [X106] :
      ( ~ c3_1(X106)
      | ~ c1_1(X106)
      | ~ c2_1(X106)
      | ndr1_0
      | hskp18
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f370,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ndr1_0
      | ~ hskp8
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f372,plain,
    ! [X113] :
      ( ~ c0_1(X113)
      | ~ c2_1(X113)
      | c3_1(X113)
      | ndr1_0
      | ~ hskp24
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f377,plain,
    ( ~ hskp29
    | ~ hskp12
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f378,plain,
    ( ~ hskp31
    | ~ hskp19
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f380,plain,
    ( ~ hskp0
    | hskp30
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f383,plain,
    ( ~ hskp7
    | ~ hskp8
    | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f388,plain,
    ! [X98,X99,X97] :
      ( ~ c3_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ndr1_0
      | ~ c0_1(X98)
      | ~ c2_1(X98)
      | c3_1(X98)
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | c3_1(X99) ),
    inference(duplicate_literal_removal,[],[f361]) ).

fof(f389,plain,
    ! [X94,X95] :
      ( c2_1(X94)
      | ~ c0_1(X94)
      | ~ c1_1(X94)
      | ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f359]) ).

fof(f391,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | ndr1_0
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ c2_1(X88) ),
    inference(duplicate_literal_removal,[],[f354]) ).

fof(f392,plain,
    ! [X86,X85] :
      ( c2_1(X85)
      | ~ c3_1(X85)
      | ~ c0_1(X85)
      | ndr1_0
      | c2_1(X86)
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f393,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | c3_1(X82)
      | ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X83)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f351]) ).

fof(f394,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | c3_1(X81)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f396,plain,
    ! [X72,X73,X74] :
      ( c1_1(X72)
      | c2_1(X72)
      | c3_1(X72)
      | ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | c3_1(X73)
      | c2_1(X74)
      | ~ c3_1(X74)
      | ~ c1_1(X74) ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f397,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ndr1_0
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ c1_1(X69)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f398,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c3_1(X66)
      | ndr1_0
      | c1_1(X67)
      | ~ c2_1(X67)
      | c3_1(X67)
      | ~ hskp2 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f399,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | ~ c3_1(X64)
      | ndr1_0
      | c1_1(X65)
      | ~ c3_1(X65)
      | ~ c0_1(X65)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f340]) ).

fof(f400,plain,
    ! [X59,X60,X61] :
      ( c0_1(X59)
      | ~ c2_1(X59)
      | c3_1(X59)
      | ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | c3_1(X61) ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f401,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | ~ c2_1(X56)
      | c3_1(X56)
      | ndr1_0
      | c1_1(X57)
      | c2_1(X57)
      | ~ c3_1(X57)
      | ~ c3_1(X58)
      | ~ c0_1(X58)
      | ~ c1_1(X58) ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f402,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ndr1_0
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | c3_1(X55)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f403,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | c3_1(X52)
      | ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c0_1(X53)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f404,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ndr1_0
      | c1_1(X50)
      | c2_1(X50)
      | ~ c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f405,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | ndr1_0
      | c0_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f329]) ).

fof(f406,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | ndr1_0
      | c1_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f407,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | ~ c3_1(X40)
      | ~ c1_1(X40)
      | ndr1_0
      | c1_1(X41)
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f327]) ).

fof(f409,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | c3_1(X36)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f411,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ndr1_0
      | c1_1(X32)
      | c2_1(X32)
      | ~ c0_1(X32)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f424,definition,
    ( spl0_1
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f428,definition,
    ( spl0_2
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f432,definition,
    ( spl0_3
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f435,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f432,f428,f424]) ).

fof(f441,definition,
    ( spl0_5
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f445,definition,
    ( spl0_6
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f450,definition,
    ( spl0_7
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_8
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f458,definition,
    ( spl0_9
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f461,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f383,f458,f454,f450]) ).

fof(f467,definition,
    ( spl0_11
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_14
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f484,definition,
    ( spl0_15
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_16
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f493,definition,
    ( spl0_17
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f496,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f380,f484,f493,f489]) ).

fof(f498,definition,
    ( spl0_18
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f502,definition,
    ( spl0_19
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f507,definition,
    ( spl0_20
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f510,plain,
    ( spl0_1
    | spl0_20
    | spl0_19 ),
    inference(avatar_split_clause,[],[f13,f502,f507,f424]) ).

fof(f512,definition,
    ( spl0_21
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f516,definition,
    ( spl0_22
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f519,plain,
    ( spl0_16
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f378,f516,f512,f489]) ).

fof(f521,definition,
    ( spl0_23
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f524,plain,
    ( spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f377,f521,f467,f441]) ).

fof(f526,definition,
    ( spl0_24
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f531,definition,
    ( spl0_25
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f535,definition,
    ( spl0_26
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f539,definition,
    ( spl0_27
  <=> ! [X116] :
        ( ~ c1_1(X116)
        | c3_1(X116)
        | ~ c2_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f540,plain,
    ( ! [X116] :
        ( c3_1(X116)
        | ~ c1_1(X116)
        | ~ c2_1(X116) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f543,definition,
    ( spl0_28
  <=> ! [X115] :
        ( ~ c0_1(X115)
        | c3_1(X115)
        | ~ c2_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f544,plain,
    ( ! [X115] :
        ( c3_1(X115)
        | ~ c0_1(X115)
        | ~ c2_1(X115) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f548,definition,
    ( spl0_29
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_16
    | ~ spl0_29
    | spl0_26
    | spl0_28 ),
    inference(avatar_split_clause,[],[f372,f543,f535,f548,f489]) ).

fof(f561,definition,
    ( spl0_32
  <=> ! [X112] :
        ( ~ c0_1(X112)
        | ~ c2_1(X112)
        | ~ c1_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f562,plain,
    ( ! [X112] :
        ( ~ c1_1(X112)
        | ~ c2_1(X112)
        | ~ c0_1(X112) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f564,plain,
    ( spl0_1
    | ~ spl0_8
    | spl0_26
    | spl0_32 ),
    inference(avatar_split_clause,[],[f370,f561,f535,f454,f424]) ).

fof(f567,definition,
    ( spl0_33
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f572,definition,
    ( spl0_34
  <=> ! [X108] :
        ( ~ c0_1(X108)
        | c3_1(X108)
        | ~ c1_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f573,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | ~ c0_1(X108)
        | ~ c1_1(X108) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f576,definition,
    ( spl0_35
  <=> ! [X106] :
        ( ~ c3_1(X106)
        | ~ c2_1(X106)
        | ~ c1_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f577,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | ~ c2_1(X106)
        | ~ c1_1(X106) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( spl0_25
    | spl0_33
    | spl0_26
    | spl0_35 ),
    inference(avatar_split_clause,[],[f366,f576,f535,f567,f531]) ).

fof(f585,definition,
    ( spl0_37
  <=> ! [X101] :
        ( ~ c3_1(X101)
        | ~ c1_1(X101)
        | ~ c0_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f586,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | ~ c1_1(X101)
        | ~ c0_1(X101) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( ~ spl0_11
    | spl0_17
    | spl0_26
    | spl0_37 ),
    inference(avatar_split_clause,[],[f363,f585,f535,f493,f467]) ).

fof(f588,plain,
    ( ~ spl0_8
    | ~ spl0_29
    | spl0_26
    | spl0_37 ),
    inference(avatar_split_clause,[],[f362,f585,f535,f548,f454]) ).

fof(f589,plain,
    ( spl0_27
    | spl0_28
    | spl0_26
    | spl0_37 ),
    inference(avatar_split_clause,[],[f388,f585,f535,f543,f539]) ).

fof(f591,definition,
    ( spl0_38
  <=> ! [X96] :
        ( c2_1(X96)
        | c3_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f592,plain,
    ( ! [X96] :
        ( c3_1(X96)
        | c2_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( spl0_25
    | ~ spl0_6
    | spl0_26
    | spl0_38 ),
    inference(avatar_split_clause,[],[f360,f591,f535,f445,f531]) ).

fof(f595,definition,
    ( spl0_39
  <=> ! [X94] :
        ( c2_1(X94)
        | ~ c1_1(X94)
        | ~ c0_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | ~ c0_1(X94) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( ~ spl0_23
    | spl0_35
    | spl0_26
    | spl0_39 ),
    inference(avatar_split_clause,[],[f389,f595,f535,f576,f521]) ).

fof(f599,definition,
    ( spl0_40
  <=> ! [X93] :
        ( c2_1(X93)
        | ~ c1_1(X93)
        | ~ c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f600,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | ~ c1_1(X93)
        | c2_1(X93) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f609,definition,
    ( spl0_42
  <=> ! [X89] :
        ( c2_1(X89)
        | ~ c0_1(X89)
        | ~ c3_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f610,plain,
    ( ! [X89] :
        ( ~ c3_1(X89)
        | ~ c0_1(X89)
        | c2_1(X89) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f612,plain,
    ( spl0_32
    | spl0_26
    | spl0_42 ),
    inference(avatar_split_clause,[],[f391,f609,f535,f561]) ).

fof(f613,plain,
    ( ~ spl0_15
    | spl0_40
    | spl0_26
    | spl0_42 ),
    inference(avatar_split_clause,[],[f392,f609,f535,f599,f484]) ).

fof(f619,definition,
    ( spl0_44
  <=> ! [X84] :
        ( c1_1(X84)
        | c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f620,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | c1_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f622,plain,
    ( spl0_33
    | spl0_32
    | spl0_26
    | spl0_44 ),
    inference(avatar_split_clause,[],[f393,f619,f535,f561,f567]) ).

fof(f624,definition,
    ( spl0_45
  <=> ! [X80] :
        ( c1_1(X80)
        | ~ c2_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f625,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | ~ c2_1(X80)
        | ~ c0_1(X80) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( ~ spl0_11
    | spl0_38
    | spl0_26
    | spl0_45 ),
    inference(avatar_split_clause,[],[f394,f624,f535,f591,f467]) ).

fof(f628,definition,
    ( spl0_46
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c2_1(X79)
        | ~ c3_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f629,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | ~ c2_1(X79)
        | c1_1(X79) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f632,definition,
    ( spl0_47
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c0_1(X78)
        | ~ c3_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f633,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | ~ c0_1(X78)
        | c1_1(X78) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f638,definition,
    ( spl0_48
  <=> ! [X72] :
        ( c1_1(X72)
        | c3_1(X72)
        | c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f639,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | c1_1(X72)
        | c2_1(X72) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f640,plain,
    ( spl0_40
    | spl0_44
    | spl0_26
    | spl0_48 ),
    inference(avatar_split_clause,[],[f396,f638,f535,f619,f599]) ).

fof(f642,definition,
    ( spl0_49
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c0_1(X71)
        | c2_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f643,plain,
    ( ! [X71] :
        ( c1_1(X71)
        | ~ c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( ~ spl0_21
    | spl0_33
    | spl0_26
    | spl0_49 ),
    inference(avatar_split_clause,[],[f343,f642,f535,f567,f512]) ).

fof(f647,definition,
    ( spl0_50
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f648,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c1_1(X68)
        | c2_1(X68) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( ~ spl0_14
    | spl0_40
    | spl0_26
    | spl0_50 ),
    inference(avatar_split_clause,[],[f397,f647,f535,f599,f480]) ).

fof(f651,definition,
    ( spl0_51
  <=> ! [X67] :
        ( c1_1(X67)
        | c3_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f652,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | c1_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f653,plain,
    ( ~ spl0_18
    | spl0_51
    | spl0_26
    | spl0_50 ),
    inference(avatar_split_clause,[],[f398,f647,f535,f651,f498]) ).

fof(f654,plain,
    ( spl0_20
    | spl0_47
    | spl0_26
    | spl0_50 ),
    inference(avatar_split_clause,[],[f399,f647,f535,f632,f507]) ).

fof(f656,definition,
    ( spl0_52
  <=> ! [X63] :
        ( c0_1(X63)
        | c3_1(X63)
        | ~ c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f657,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f660,plain,
    ( spl0_34
    | spl0_32
    | spl0_26
    | spl0_52 ),
    inference(avatar_split_clause,[],[f400,f656,f535,f561,f572]) ).

fof(f661,plain,
    ( spl0_37
    | spl0_50
    | spl0_26
    | spl0_52 ),
    inference(avatar_split_clause,[],[f401,f656,f535,f647,f585]) ).

fof(f663,definition,
    ( spl0_53
  <=> ! [X54] :
        ( c0_1(X54)
        | c3_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f664,plain,
    ( ! [X54] :
        ( c3_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( spl0_20
    | spl0_27
    | spl0_26
    | spl0_53 ),
    inference(avatar_split_clause,[],[f402,f663,f535,f539,f507]) ).

fof(f666,plain,
    ( ~ spl0_6
    | spl0_49
    | spl0_26
    | spl0_53 ),
    inference(avatar_split_clause,[],[f403,f663,f535,f642,f445]) ).

fof(f668,definition,
    ( spl0_54
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c2_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f669,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c2_1(X51)
        | c0_1(X51) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f670,plain,
    ( spl0_2
    | spl0_17
    | spl0_26
    | spl0_54 ),
    inference(avatar_split_clause,[],[f333,f668,f535,f493,f428]) ).

fof(f671,plain,
    ( spl0_49
    | spl0_26
    | spl0_54 ),
    inference(avatar_split_clause,[],[f404,f668,f535,f642]) ).

fof(f673,definition,
    ( spl0_55
  <=> ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48)
        | ~ c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f674,plain,
    ( ! [X48] :
        ( ~ c3_1(X48)
        | ~ c2_1(X48)
        | c0_1(X48) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f675,plain,
    ( spl0_20
    | ~ spl0_9
    | spl0_26
    | spl0_55 ),
    inference(avatar_split_clause,[],[f331,f673,f535,f458,f507]) ).

fof(f676,plain,
    ( spl0_2
    | ~ spl0_24
    | spl0_26
    | spl0_55 ),
    inference(avatar_split_clause,[],[f330,f673,f535,f526,f428]) ).

fof(f677,plain,
    ( ~ spl0_14
    | spl0_53
    | spl0_26
    | spl0_55 ),
    inference(avatar_split_clause,[],[f405,f673,f535,f663,f480]) ).

fof(f679,definition,
    ( spl0_56
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | ~ c3_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f680,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | ~ c1_1(X43)
        | c0_1(X43) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( spl0_1
    | spl0_45
    | spl0_26
    | spl0_56 ),
    inference(avatar_split_clause,[],[f406,f679,f535,f624,f424]) ).

fof(f682,plain,
    ( spl0_39
    | spl0_46
    | spl0_26
    | spl0_56 ),
    inference(avatar_split_clause,[],[f407,f679,f535,f628,f595]) ).

fof(f684,definition,
    ( spl0_57
  <=> ! [X39] :
        ( c0_1(X39)
        | c3_1(X39)
        | c2_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f685,plain,
    ( ! [X39] :
        ( c3_1(X39)
        | c0_1(X39)
        | c2_1(X39) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( ~ spl0_11
    | ~ spl0_6
    | spl0_26
    | spl0_57 ),
    inference(avatar_split_clause,[],[f326,f684,f535,f445,f467]) ).

fof(f689,definition,
    ( spl0_58
  <=> ! [X36] :
        ( c2_1(X36)
        | c3_1(X36)
        | ~ c1_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f690,plain,
    ( ! [X36] :
        ( c3_1(X36)
        | c2_1(X36)
        | ~ c1_1(X36) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f691,plain,
    ( spl0_16
    | spl0_58
    | spl0_26
    | spl0_57 ),
    inference(avatar_split_clause,[],[f409,f684,f535,f689,f489]) ).

fof(f693,plain,
    ( ~ spl0_23
    | spl0_49
    | spl0_26
    | spl0_57 ),
    inference(avatar_split_clause,[],[f411,f684,f535,f642,f521]) ).

fof(f737,definition,
    ( spl0_67
  <=> c1_1(a529) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a529)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_67
    | spl0_22 ),
    inference(avatar_split_clause,[],[f305,f516,f737]) ).

fof(f742,definition,
    ( spl0_68
  <=> c0_1(a529) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f745,plain,
    ( spl0_68
    | spl0_22 ),
    inference(avatar_split_clause,[],[f304,f516,f742]) ).

fof(f748,definition,
    ( spl0_69
  <=> c3_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f750,plain,
    ( ~ c3_1(a488)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( ~ spl0_69
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f302,f493,f748]) ).

fof(f753,definition,
    ( spl0_70
  <=> c2_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f755,plain,
    ( c2_1(a488)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_70
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f91,f493,f753]) ).

fof(f758,definition,
    ( spl0_71
  <=> c1_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_71
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f92,f493,f758]) ).

fof(f764,definition,
    ( spl0_72
  <=> c2_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f767,plain,
    ( spl0_72
    | spl0_23 ),
    inference(avatar_split_clause,[],[f300,f521,f764]) ).

fof(f769,definition,
    ( spl0_73
  <=> c1_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f771,plain,
    ( c1_1(a474)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( spl0_73
    | spl0_23 ),
    inference(avatar_split_clause,[],[f299,f521,f769]) ).

fof(f774,definition,
    ( spl0_74
  <=> c0_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f777,plain,
    ( spl0_74
    | spl0_23 ),
    inference(avatar_split_clause,[],[f298,f521,f774]) ).

fof(f796,definition,
    ( spl0_78
  <=> c3_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f798,plain,
    ( c3_1(a576)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( spl0_78
    | spl0_7 ),
    inference(avatar_split_clause,[],[f292,f450,f796]) ).

fof(f801,definition,
    ( spl0_79
  <=> c2_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f804,plain,
    ( ~ spl0_79
    | spl0_7 ),
    inference(avatar_split_clause,[],[f291,f450,f801]) ).

fof(f806,definition,
    ( spl0_80
  <=> c1_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f809,plain,
    ( ~ spl0_80
    | spl0_7 ),
    inference(avatar_split_clause,[],[f290,f450,f806]) ).

fof(f812,definition,
    ( spl0_81
  <=> c3_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f814,plain,
    ( c3_1(a559)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_81
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f288,f502,f812]) ).

fof(f817,definition,
    ( spl0_82
  <=> c1_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f819,plain,
    ( c1_1(a559)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( spl0_82
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f107,f502,f817]) ).

fof(f822,definition,
    ( spl0_83
  <=> c0_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f824,plain,
    ( c0_1(a559)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( spl0_83
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f108,f502,f822]) ).

fof(f844,definition,
    ( spl0_87
  <=> c2_1(a525) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ c2_1(a525)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( ~ spl0_87
    | spl0_29 ),
    inference(avatar_split_clause,[],[f284,f548,f844]) ).

fof(f854,definition,
    ( spl0_89
  <=> c0_1(a525) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f857,plain,
    ( spl0_89
    | spl0_29 ),
    inference(avatar_split_clause,[],[f282,f548,f854]) ).

fof(f890,plain,
    ( ~ spl0_26
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f278,f432,f535]) ).

fof(f924,definition,
    ( spl0_102
  <=> c3_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f926,plain,
    ( c3_1(a500)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( spl0_102
    | spl0_21 ),
    inference(avatar_split_clause,[],[f271,f512,f924]) ).

fof(f929,definition,
    ( spl0_103
  <=> c2_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ spl0_103
    | spl0_21 ),
    inference(avatar_split_clause,[],[f270,f512,f929]) ).

fof(f934,definition,
    ( spl0_104
  <=> c1_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f937,plain,
    ( spl0_104
    | spl0_21 ),
    inference(avatar_split_clause,[],[f269,f512,f934]) ).

fof(f940,definition,
    ( spl0_105
  <=> c3_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f942,plain,
    ( c3_1(a494)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_105
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f267,f567,f940]) ).

fof(f945,definition,
    ( spl0_106
  <=> c2_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ spl0_106
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f139,f567,f945]) ).

fof(f950,definition,
    ( spl0_107
  <=> c0_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f953,plain,
    ( spl0_107
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f140,f567,f950]) ).

fof(f956,definition,
    ( spl0_108
  <=> c0_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ spl0_108
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f142,f531,f956]) ).

fof(f961,definition,
    ( spl0_109
  <=> c3_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c3_1(a493)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( ~ spl0_109
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f265,f531,f961]) ).

fof(f966,definition,
    ( spl0_110
  <=> c2_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_110
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f144,f531,f966]) ).

fof(f972,definition,
    ( spl0_111
  <=> c2_1(a487) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ spl0_111
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f146,f507,f972]) ).

fof(f977,definition,
    ( spl0_112
  <=> c1_1(a487) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f979,plain,
    ( ~ c1_1(a487)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f980,plain,
    ( ~ spl0_112
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f147,f507,f977]) ).

fof(f982,definition,
    ( spl0_113
  <=> c0_1(a487) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f985,plain,
    ( spl0_113
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f148,f507,f982]) ).

fof(f988,definition,
    ( spl0_114
  <=> c3_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f990,plain,
    ( c3_1(a484)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f991,plain,
    ( spl0_114
    | spl0_24 ),
    inference(avatar_split_clause,[],[f262,f526,f988]) ).

fof(f993,definition,
    ( spl0_115
  <=> c2_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f996,plain,
    ( spl0_115
    | spl0_24 ),
    inference(avatar_split_clause,[],[f261,f526,f993]) ).

fof(f998,definition,
    ( spl0_116
  <=> c0_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1001,plain,
    ( spl0_116
    | spl0_24 ),
    inference(avatar_split_clause,[],[f260,f526,f998]) ).

fof(f1004,definition,
    ( spl0_117
  <=> c0_1(a483) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ spl0_117
    | spl0_14 ),
    inference(avatar_split_clause,[],[f258,f480,f1004]) ).

fof(f1009,definition,
    ( spl0_118
  <=> c2_1(a483) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1012,plain,
    ( spl0_118
    | spl0_14 ),
    inference(avatar_split_clause,[],[f257,f480,f1009]) ).

fof(f1014,definition,
    ( spl0_119
  <=> c1_1(a483) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1016,plain,
    ( c1_1(a483)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1017,plain,
    ( spl0_119
    | spl0_14 ),
    inference(avatar_split_clause,[],[f256,f480,f1014]) ).

fof(f1020,definition,
    ( spl0_120
  <=> c2_1(a482) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ spl0_120
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f424,f1020]) ).

fof(f1025,definition,
    ( spl0_121
  <=> c1_1(a482) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1027,plain,
    ( ~ c1_1(a482)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1028,plain,
    ( ~ spl0_121
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f424,f1025]) ).

fof(f1030,definition,
    ( spl0_122
  <=> c3_1(a482) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1032,plain,
    ( ~ c3_1(a482)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1033,plain,
    ( ~ spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f254,f424,f1030]) ).

fof(f1034,plain,
    ( ~ spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f253,f424,f535]) ).

fof(f1036,definition,
    ( spl0_123
  <=> c3_1(a481) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1038,plain,
    ( c3_1(a481)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( spl0_123
    | spl0_11 ),
    inference(avatar_split_clause,[],[f252,f467,f1036]) ).

fof(f1041,definition,
    ( spl0_124
  <=> c0_1(a481) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_124
    | spl0_11 ),
    inference(avatar_split_clause,[],[f251,f467,f1041]) ).

fof(f1046,definition,
    ( spl0_125
  <=> c1_1(a481) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1048,plain,
    ( c1_1(a481)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1049,plain,
    ( spl0_125
    | spl0_11 ),
    inference(avatar_split_clause,[],[f250,f467,f1046]) ).

fof(f1068,definition,
    ( spl0_129
  <=> c3_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1070,plain,
    ( c3_1(a478)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( spl0_129
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f246,f489,f1068]) ).

fof(f1073,definition,
    ( spl0_130
  <=> c0_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1076,plain,
    ( ~ spl0_130
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f171,f489,f1073]) ).

fof(f1078,definition,
    ( spl0_131
  <=> c2_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1081,plain,
    ( spl0_131
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f172,f489,f1078]) ).

fof(f1100,definition,
    ( spl0_135
  <=> c2_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ spl0_135
    | spl0_8 ),
    inference(avatar_split_clause,[],[f242,f454,f1100]) ).

fof(f1105,definition,
    ( spl0_136
  <=> c3_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1107,plain,
    ( ~ c3_1(a472)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1108,plain,
    ( ~ spl0_136
    | spl0_8 ),
    inference(avatar_split_clause,[],[f241,f454,f1105]) ).

fof(f1110,definition,
    ( spl0_137
  <=> c1_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1113,plain,
    ( spl0_137
    | spl0_8 ),
    inference(avatar_split_clause,[],[f240,f454,f1110]) ).

fof(f1116,definition,
    ( spl0_138
  <=> c2_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1118,plain,
    ( ~ c2_1(a471)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( ~ spl0_138
    | spl0_9 ),
    inference(avatar_split_clause,[],[f238,f458,f1116]) ).

fof(f1121,definition,
    ( spl0_139
  <=> c3_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ c3_1(a471)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1124,plain,
    ( ~ spl0_139
    | spl0_9 ),
    inference(avatar_split_clause,[],[f237,f458,f1121]) ).

fof(f1126,definition,
    ( spl0_140
  <=> c0_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1129,plain,
    ( spl0_140
    | spl0_9 ),
    inference(avatar_split_clause,[],[f236,f458,f1126]) ).

fof(f1148,definition,
    ( spl0_144
  <=> c3_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1150,plain,
    ( c3_1(a467)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f1151,plain,
    ( spl0_144
    | spl0_6 ),
    inference(avatar_split_clause,[],[f233,f445,f1148]) ).

fof(f1153,definition,
    ( spl0_145
  <=> c1_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1155,plain,
    ( ~ c1_1(a467)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f1156,plain,
    ( ~ spl0_145
    | spl0_6 ),
    inference(avatar_split_clause,[],[f232,f445,f1153]) ).

fof(f1158,definition,
    ( spl0_146
  <=> c0_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1161,plain,
    ( spl0_146
    | spl0_6 ),
    inference(avatar_split_clause,[],[f231,f445,f1158]) ).

fof(f1180,definition,
    ( spl0_150
  <=> c1_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1183,plain,
    ( ~ spl0_150
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f198,f441,f1180]) ).

fof(f1185,definition,
    ( spl0_151
  <=> c0_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1188,plain,
    ( ~ spl0_151
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f199,f441,f1185]) ).

fof(f1190,definition,
    ( spl0_152
  <=> c3_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1192,plain,
    ( ~ c3_1(a465)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1193,plain,
    ( ~ spl0_152
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f225,f441,f1190]) ).

fof(f1196,definition,
    ( spl0_153
  <=> c2_1(a464) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1199,plain,
    ( ~ spl0_153
    | spl0_18 ),
    inference(avatar_split_clause,[],[f223,f498,f1196]) ).

fof(f1201,definition,
    ( spl0_154
  <=> c0_1(a464) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1204,plain,
    ( ~ spl0_154
    | spl0_18 ),
    inference(avatar_split_clause,[],[f222,f498,f1201]) ).

fof(f1206,definition,
    ( spl0_155
  <=> c3_1(a464) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1208,plain,
    ( ~ c3_1(a464)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f1209,plain,
    ( ~ spl0_155
    | spl0_18 ),
    inference(avatar_split_clause,[],[f221,f498,f1206]) ).

fof(f1226,plain,
    ( ~ spl0_26
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f218,f428,f535]) ).

fof(f1228,definition,
    ( spl0_159
  <=> c1_1(a462) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1230,plain,
    ( ~ c1_1(a462)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f1231,plain,
    ( ~ spl0_159
    | spl0_15 ),
    inference(avatar_split_clause,[],[f217,f484,f1228]) ).

fof(f1233,definition,
    ( spl0_160
  <=> c2_1(a462) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1235,plain,
    ( c2_1(a462)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f1236,plain,
    ( spl0_160
    | spl0_15 ),
    inference(avatar_split_clause,[],[f216,f484,f1233]) ).

fof(f1238,definition,
    ( spl0_161
  <=> c0_1(a462) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1241,plain,
    ( spl0_161
    | spl0_15 ),
    inference(avatar_split_clause,[],[f215,f484,f1238]) ).

fof(f1262,plain,
    ( ~ c1_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_27
    | spl0_69 ),
    inference(resolution,[],[f540,f750]) ).

fof(f1265,definition,
    ( spl0_162
  <=> c2_1(a529) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1269,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_27
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1262,f748,f539,f758,f753]) ).

fof(f1297,definition,
    ( spl0_164
  <=> c0_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1305,plain,
    ( ~ c2_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(resolution,[],[f562,f771]) ).

fof(f1308,plain,
    ( ~ spl0_74
    | ~ spl0_72
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1305,f769,f561,f764,f774]) ).

fof(f1310,definition,
    ( spl0_165
  <=> c2_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1315,plain,
    ( ~ c2_1(a481)
    | ~ c1_1(a481)
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(resolution,[],[f577,f1038]) ).

fof(f1316,plain,
    ( ~ c2_1(a484)
    | ~ c1_1(a484)
    | ~ spl0_35
    | ~ spl0_114 ),
    inference(resolution,[],[f577,f990]) ).

fof(f1321,definition,
    ( spl0_166
  <=> c1_1(a484) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1323,plain,
    ( ~ c1_1(a484)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f1324,plain,
    ( ~ spl0_166
    | ~ spl0_115
    | ~ spl0_35
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1316,f988,f576,f993,f1321]) ).

fof(f1326,definition,
    ( spl0_167
  <=> c2_1(a481) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1329,plain,
    ( ~ spl0_125
    | ~ spl0_167
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1315,f1036,f576,f1326,f1046]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(resolution,[],[f586,f544]) ).

fof(f1366,plain,
    ( ~ c1_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_37
    | ~ spl0_114 ),
    inference(resolution,[],[f586,f990]) ).

fof(f1367,plain,
    ( ~ c1_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_37
    | ~ spl0_81 ),
    inference(resolution,[],[f586,f814]) ).

fof(f1370,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1363]) ).

fof(f1372,plain,
    ( ~ spl0_83
    | ~ spl0_82
    | ~ spl0_37
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1367,f812,f585,f817,f822]) ).

fof(f1381,plain,
    ( c2_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_38
    | spl0_139 ),
    inference(resolution,[],[f592,f1123]) ).

fof(f1382,plain,
    ( c2_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_38
    | spl0_136 ),
    inference(resolution,[],[f592,f1107]) ).

fof(f1385,plain,
    ( c2_1(a482)
    | ~ c0_1(a482)
    | ~ spl0_38
    | spl0_122 ),
    inference(resolution,[],[f592,f1032]) ).

fof(f1409,definition,
    ( spl0_171
  <=> c0_1(a482) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1412,plain,
    ( ~ spl0_171
    | spl0_120
    | ~ spl0_38
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1385,f1030,f591,f1020,f1409]) ).

fof(f1419,definition,
    ( spl0_173
  <=> c0_1(a472) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1422,plain,
    ( ~ spl0_173
    | spl0_135
    | ~ spl0_38
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1382,f1105,f591,f1100,f1419]) ).

fof(f1434,plain,
    ( c2_1(a529)
    | ~ c0_1(a529)
    | ~ spl0_39
    | ~ spl0_67 ),
    inference(resolution,[],[f596,f739]) ).

fof(f1435,plain,
    ( ~ spl0_68
    | spl0_162
    | ~ spl0_39
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1434,f737,f595,f1265,f742]) ).

fof(f1437,plain,
    ( spl0_32
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1370,f585,f543,f561]) ).

fof(f1442,definition,
    ( spl0_175
  <=> c1_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1451,plain,
    ( ~ c2_1(a529)
    | ~ c0_1(a529)
    | ~ spl0_32
    | ~ spl0_67 ),
    inference(resolution,[],[f562,f739]) ).

fof(f1454,plain,
    ( ~ c2_1(a478)
    | ~ c1_1(a478)
    | ~ spl0_35
    | ~ spl0_129 ),
    inference(resolution,[],[f577,f1070]) ).

fof(f1463,definition,
    ( spl0_176
  <=> c1_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1466,plain,
    ( ~ spl0_176
    | ~ spl0_131
    | ~ spl0_35
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1454,f1068,f576,f1078,f1463]) ).

fof(f1490,plain,
    ( ~ c0_1(a494)
    | c2_1(a494)
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(resolution,[],[f610,f942]) ).

fof(f1524,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(resolution,[],[f625,f562]) ).

fof(f1525,plain,
    ( ~ c2_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_45
    | spl0_159 ),
    inference(resolution,[],[f625,f1230]) ).

fof(f1529,plain,
    ( ~ c2_1(a467)
    | ~ c0_1(a467)
    | ~ spl0_45
    | spl0_145 ),
    inference(resolution,[],[f625,f1155]) ).

fof(f1536,plain,
    ( ~ c2_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_45
    | spl0_166 ),
    inference(resolution,[],[f625,f1323]) ).

fof(f1547,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1524]) ).

fof(f1550,plain,
    ( ~ spl0_116
    | ~ spl0_115
    | ~ spl0_45
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1536,f1321,f624,f993,f998]) ).

fof(f1551,plain,
    ( ~ spl0_161
    | ~ spl0_160
    | ~ spl0_45
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1525,f1228,f624,f1233,f1238]) ).

fof(f1552,plain,
    ( ~ c0_1(a462)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_160 ),
    inference(resolution,[],[f1547,f1235]) ).

fof(f1557,plain,
    ( ~ c0_1(a488)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_70 ),
    inference(resolution,[],[f1547,f755]) ).

fof(f1558,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(resolution,[],[f629,f620]) ).

fof(f1561,plain,
    ( ~ c2_1(a478)
    | c1_1(a478)
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(resolution,[],[f629,f1070]) ).

fof(f1568,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1558]) ).

fof(f1572,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(resolution,[],[f633,f620]) ).

fof(f1581,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1572]) ).

fof(f1598,plain,
    ( ~ c0_1(a487)
    | c2_1(a487)
    | ~ spl0_49
    | spl0_112 ),
    inference(resolution,[],[f643,f979]) ).

fof(f1617,plain,
    ( c0_1(a465)
    | ~ c2_1(a465)
    | ~ spl0_52
    | spl0_152 ),
    inference(resolution,[],[f657,f1192]) ).

fof(f1626,plain,
    ( c0_1(a493)
    | ~ c2_1(a493)
    | ~ spl0_52
    | spl0_109 ),
    inference(resolution,[],[f657,f963]) ).

fof(f1643,definition,
    ( spl0_179
  <=> c2_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1644,plain,
    ( c2_1(a467)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1643]) ).

fof(f1653,definition,
    ( spl0_181
  <=> c2_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1666,plain,
    ( c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_53
    | spl0_136 ),
    inference(resolution,[],[f664,f1107]) ).

fof(f1695,definition,
    ( spl0_184
  <=> c1_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1697,plain,
    ( ~ c1_1(a471)
    | spl0_184 ),
    inference(avatar_component_clause,[],[f1695]) ).

fof(f1712,plain,
    ( ~ c2_1(a481)
    | c0_1(a481)
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f669,f1048]) ).

fof(f1723,plain,
    ( ~ c2_1(a478)
    | c0_1(a478)
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(resolution,[],[f674,f1070]) ).

fof(f1733,plain,
    ( spl0_106
    | ~ spl0_107
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1490,f940,f609,f950,f945]) ).

fof(f1735,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_49
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1598,f977,f642,f982,f972]) ).

fof(f1743,plain,
    ( ~ spl0_146
    | ~ spl0_179
    | ~ spl0_45
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1529,f1153,f624,f1643,f1158]) ).

fof(f1753,plain,
    ( ~ c0_1(a471)
    | ~ c1_1(a471)
    | ~ spl0_34
    | spl0_139 ),
    inference(resolution,[],[f573,f1123]) ).

fof(f1754,plain,
    ( ~ c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_34
    | spl0_136 ),
    inference(resolution,[],[f573,f1107]) ).

fof(f1771,plain,
    ( ~ spl0_184
    | ~ spl0_140
    | ~ spl0_34
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1753,f1121,f572,f1126,f1695]) ).

fof(f1773,plain,
    ( ~ spl0_161
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1552,f1233,f624,f561,f1238]) ).

fof(f1781,plain,
    ( ~ c0_1(a467)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_179 ),
    inference(resolution,[],[f1547,f1644]) ).

fof(f1790,plain,
    ( ~ spl0_146
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1781,f1643,f624,f561,f1158]) ).

fof(f1802,plain,
    ( ~ c2_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(resolution,[],[f562,f819]) ).

fof(f1828,plain,
    ( ~ c0_1(a467)
    | c2_1(a467)
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(resolution,[],[f610,f1150]) ).

fof(f1842,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(resolution,[],[f639,f610]) ).

fof(f1844,plain,
    ( c1_1(a465)
    | c2_1(a465)
    | ~ spl0_48
    | spl0_152 ),
    inference(resolution,[],[f639,f1192]) ).

fof(f1849,plain,
    ( c1_1(a482)
    | c2_1(a482)
    | ~ spl0_48
    | spl0_122 ),
    inference(resolution,[],[f639,f1032]) ).

fof(f1856,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1842]) ).

fof(f1860,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_48
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1849,f1030,f638,f1025,f1020]) ).

fof(f1863,plain,
    ( spl0_181
    | spl0_150
    | ~ spl0_48
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1844,f1190,f638,f1180,f1653]) ).

fof(f1875,plain,
    ( ~ c1_1(a481)
    | c2_1(a481)
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(resolution,[],[f600,f1038]) ).

fof(f1883,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_39
    | ~ spl0_49 ),
    inference(resolution,[],[f643,f596]) ).

fof(f1891,plain,
    ( ~ c0_1(a471)
    | c2_1(a471)
    | ~ spl0_49
    | spl0_184 ),
    inference(resolution,[],[f643,f1697]) ).

fof(f1895,plain,
    ( ~ c0_1(a482)
    | c2_1(a482)
    | ~ spl0_49
    | spl0_121 ),
    inference(resolution,[],[f643,f1027]) ).

fof(f1908,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_39
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1883]) ).

fof(f1909,plain,
    ( spl0_138
    | ~ spl0_140
    | ~ spl0_49
    | spl0_184 ),
    inference(avatar_split_clause,[],[f1891,f1695,f642,f1126,f1116]) ).

fof(f1919,plain,
    ( ~ c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_28
    | spl0_69 ),
    inference(resolution,[],[f750,f544]) ).

fof(f1922,plain,
    ( ~ c1_1(a559)
    | c2_1(a559)
    | ~ spl0_40
    | ~ spl0_81 ),
    inference(resolution,[],[f814,f600]) ).

fof(f1924,plain,
    ( spl0_165
    | ~ spl0_82
    | ~ spl0_40
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1922,f812,f599,f817,f1310]) ).

fof(f1930,plain,
    ( ~ c1_1(a500)
    | c2_1(a500)
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(resolution,[],[f926,f600]) ).

fof(f1948,plain,
    ( ~ c0_1(a467)
    | c2_1(a467)
    | ~ spl0_49
    | spl0_145 ),
    inference(resolution,[],[f1155,f643]) ).

fof(f1953,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(resolution,[],[f1908,f1547]) ).

fof(f1959,plain,
    ( ~ c0_1(a471)
    | ~ spl0_39
    | ~ spl0_49
    | spl0_138 ),
    inference(resolution,[],[f1908,f1118]) ).

fof(f1969,plain,
    ( ~ c0_1(a525)
    | ~ spl0_39
    | ~ spl0_49
    | spl0_87 ),
    inference(resolution,[],[f1908,f846]) ).

fof(f1975,plain,
    ( ! [X0] : ~ c0_1(X0)
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1953]) ).

fof(f1977,plain,
    ( ~ spl0_89
    | ~ spl0_39
    | ~ spl0_49
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1969,f844,f642,f595,f854]) ).

fof(f1978,plain,
    ( ~ spl0_140
    | ~ spl0_39
    | ~ spl0_49
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1959,f1116,f642,f595,f1126]) ).

fof(f1980,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_39
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_83 ),
    inference(resolution,[],[f1975,f824]) ).

fof(f1981,plain,
    ( ~ spl0_32
    | ~ spl0_39
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1980]) ).

fof(f2008,plain,
    ( c0_1(a488)
    | ~ c1_1(a488)
    | ~ spl0_53
    | spl0_69 ),
    inference(resolution,[],[f664,f750]) ).

fof(f2014,plain,
    ( ~ spl0_116
    | ~ spl0_166
    | ~ spl0_37
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1366,f988,f585,f1321,f998]) ).

fof(f2023,plain,
    ( ~ spl0_137
    | spl0_173
    | ~ spl0_53
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1666,f1105,f663,f1419,f1110]) ).

fof(f2061,plain,
    ( spl0_124
    | ~ spl0_167
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1712,f1046,f668,f1326,f1041]) ).

fof(f2066,plain,
    ( ~ spl0_68
    | ~ spl0_162
    | ~ spl0_32
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1451,f737,f561,f1265,f742]) ).

fof(f2067,plain,
    ( ~ spl0_137
    | ~ spl0_173
    | ~ spl0_34
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1754,f1105,f572,f1419,f1110]) ).

fof(f2070,plain,
    ( ~ c0_1(a462)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_159 ),
    inference(resolution,[],[f1581,f1230]) ).

fof(f2075,plain,
    ( ~ c0_1(a467)
    | ~ spl0_44
    | ~ spl0_47
    | spl0_145 ),
    inference(resolution,[],[f1581,f1155]) ).

fof(f2093,plain,
    ( ~ spl0_161
    | ~ spl0_44
    | ~ spl0_47
    | spl0_159 ),
    inference(avatar_split_clause,[],[f2070,f1228,f632,f619,f1238]) ).

fof(f2190,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(resolution,[],[f648,f620]) ).

fof(f2199,plain,
    ( c1_1(a494)
    | c2_1(a494)
    | ~ spl0_50
    | ~ spl0_105 ),
    inference(resolution,[],[f648,f942]) ).

fof(f2204,plain,
    ( c1_1(a576)
    | c2_1(a576)
    | ~ spl0_50
    | ~ spl0_78 ),
    inference(resolution,[],[f648,f798]) ).

fof(f2207,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f2190]) ).

fof(f2210,plain,
    ( ~ c2_1(a483)
    | c0_1(a483)
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(resolution,[],[f669,f1016]) ).

fof(f2263,plain,
    ( ~ c1_1(a481)
    | c0_1(a481)
    | ~ spl0_56
    | ~ spl0_123 ),
    inference(resolution,[],[f680,f1038]) ).

fof(f2282,plain,
    ( c0_1(a464)
    | c2_1(a464)
    | ~ spl0_57
    | spl0_155 ),
    inference(resolution,[],[f685,f1208]) ).

fof(f2283,plain,
    ( c0_1(a465)
    | c2_1(a465)
    | ~ spl0_57
    | spl0_152 ),
    inference(resolution,[],[f685,f1192]) ).

fof(f2286,plain,
    ( c0_1(a472)
    | c2_1(a472)
    | ~ spl0_57
    | spl0_136 ),
    inference(resolution,[],[f685,f1107]) ).

fof(f2290,plain,
    ( c0_1(a482)
    | c2_1(a482)
    | ~ spl0_57
    | spl0_122 ),
    inference(resolution,[],[f685,f1032]) ).

fof(f2300,plain,
    ( spl0_120
    | spl0_171
    | ~ spl0_57
    | spl0_122 ),
    inference(avatar_split_clause,[],[f2290,f1030,f684,f1409,f1020]) ).

fof(f2302,plain,
    ( spl0_135
    | spl0_173
    | ~ spl0_57
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2286,f1105,f684,f1419,f1100]) ).

fof(f2304,plain,
    ( spl0_153
    | spl0_154
    | ~ spl0_57
    | spl0_155 ),
    inference(avatar_split_clause,[],[f2282,f1206,f684,f1201,f1196]) ).

fof(f2307,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_58 ),
    inference(resolution,[],[f690,f586]) ).

fof(f2312,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_58
    | spl0_136 ),
    inference(resolution,[],[f690,f1107]) ).

fof(f2322,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2307]) ).

fof(f2325,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_38
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1381,f1121,f591,f1116,f1126]) ).

fof(f2332,plain,
    ( spl0_167
    | ~ spl0_125
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1875,f1036,f599,f1046,f1326]) ).

fof(f2337,plain,
    ( spl0_124
    | ~ spl0_125
    | ~ spl0_56
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2263,f1036,f679,f1046,f1041]) ).

fof(f2341,plain,
    ( spl0_181
    | spl0_151
    | ~ spl0_57
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2283,f1190,f684,f1185,f1653]) ).

fof(f2344,plain,
    ( ~ spl0_70
    | ~ spl0_164
    | ~ spl0_28
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1919,f748,f543,f1297,f753]) ).

fof(f2402,plain,
    ( ~ c1_1(a494)
    | c2_1(a494)
    | ~ spl0_40
    | ~ spl0_105 ),
    inference(resolution,[],[f600,f942]) ).

fof(f2413,plain,
    ( c1_1(a465)
    | ~ c2_1(a465)
    | ~ spl0_51
    | spl0_152 ),
    inference(resolution,[],[f652,f1192]) ).

fof(f2426,plain,
    ( ~ spl0_181
    | spl0_150
    | ~ spl0_51
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2413,f1190,f651,f1180,f1653]) ).

fof(f2430,plain,
    ( spl0_179
    | ~ spl0_146
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1828,f1148,f609,f1158,f1643]) ).

fof(f2433,plain,
    ( spl0_49
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1856,f638,f609,f642]) ).

fof(f2434,plain,
    ( ~ spl0_164
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1557,f753,f624,f561,f1297]) ).

fof(f2448,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_50
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2204,f796,f647,f806,f801]) ).

fof(f2465,plain,
    ( spl0_103
    | ~ spl0_104
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1930,f924,f599,f934,f929]) ).

fof(f2469,plain,
    ( spl0_106
    | ~ spl0_175
    | ~ spl0_40
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2402,f940,f599,f1442,f945]) ).

fof(f2472,plain,
    ( ~ spl0_146
    | ~ spl0_44
    | ~ spl0_47
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2075,f1153,f632,f619,f1158]) ).

fof(f2482,plain,
    ( spl0_120
    | ~ spl0_171
    | ~ spl0_49
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1895,f1025,f642,f1409,f1020]) ).

fof(f2485,plain,
    ( spl0_179
    | ~ spl0_146
    | ~ spl0_49
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1948,f1153,f642,f1158,f1643]) ).

fof(f2488,plain,
    ( ~ spl0_71
    | spl0_164
    | ~ spl0_53
    | spl0_69 ),
    inference(avatar_split_clause,[],[f2008,f748,f663,f1297,f758]) ).

fof(f2491,plain,
    ( ~ spl0_83
    | ~ spl0_165
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1802,f817,f561,f1310,f822]) ).

fof(f2494,plain,
    ( spl0_106
    | spl0_175
    | ~ spl0_50
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2199,f940,f647,f1442,f945]) ).

fof(f2507,plain,
    ( spl0_45
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1568,f628,f619,f624]) ).

fof(f2508,plain,
    ( spl0_176
    | ~ spl0_131
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1561,f1068,f628,f1078,f1463]) ).

fof(f2511,plain,
    ( ~ spl0_181
    | spl0_151
    | ~ spl0_52
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1617,f1190,f656,f1185,f1653]) ).

fof(f2514,plain,
    ( ~ spl0_110
    | spl0_108
    | ~ spl0_52
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1626,f961,f656,f956,f966]) ).

fof(f2518,plain,
    ( spl0_117
    | ~ spl0_118
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2210,f1014,f668,f1009,f1004]) ).

fof(f2521,plain,
    ( spl0_130
    | ~ spl0_131
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1723,f1068,f673,f1078,f1073]) ).

fof(f2528,plain,
    ( spl0_39
    | ~ spl0_37
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2322,f689,f585,f595]) ).

fof(f2529,plain,
    ( ~ spl0_137
    | spl0_135
    | ~ spl0_58
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2312,f1105,f689,f1100,f1110]) ).

fof(f2543,plain,
    ( spl0_49
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f2207,f647,f619,f642]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s3,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s6,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s9,plain,
    ( spl0_16
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s10,plain,
    ( spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s15,plain,
    ( spl0_16
    | spl0_26
    | spl0_28
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s17,plain,
    ( spl0_1
    | ~ spl0_8
    | spl0_26
    | spl0_32 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s21,plain,
    ( spl0_25
    | spl0_26
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s24,plain,
    ( ~ spl0_11
    | spl0_17
    | spl0_26
    | spl0_37 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s25,plain,
    ( ~ spl0_8
    | spl0_26
    | ~ spl0_29
    | spl0_37 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s26,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_37 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s27,plain,
    ( ~ spl0_6
    | spl0_25
    | spl0_26
    | spl0_38 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s28,plain,
    ( ~ spl0_23
    | spl0_26
    | spl0_35
    | spl0_39 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s33,plain,
    ( spl0_26
    | spl0_32
    | spl0_42 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s34,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_40
    | spl0_42 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s36,plain,
    ( spl0_26
    | spl0_32
    | spl0_33
    | spl0_44 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s37,plain,
    ( ~ spl0_11
    | spl0_26
    | spl0_38
    | spl0_45 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s42,plain,
    ( spl0_26
    | spl0_40
    | spl0_44
    | spl0_48 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s44,plain,
    ( ~ spl0_21
    | spl0_26
    | spl0_33
    | spl0_49 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s45,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_40
    | spl0_50 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s46,plain,
    ( ~ spl0_18
    | spl0_26
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s47,plain,
    ( spl0_20
    | spl0_26
    | spl0_47
    | spl0_50 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s50,plain,
    ( spl0_26
    | spl0_32
    | spl0_34
    | spl0_52 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s51,plain,
    ( spl0_26
    | spl0_37
    | spl0_50
    | spl0_52 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s52,plain,
    ( spl0_20
    | spl0_26
    | spl0_27
    | spl0_53 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s53,plain,
    ( ~ spl0_6
    | spl0_26
    | spl0_49
    | spl0_53 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s54,plain,
    ( spl0_2
    | spl0_17
    | spl0_26
    | spl0_54 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s55,plain,
    ( spl0_26
    | spl0_49
    | spl0_54 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s56,plain,
    ( ~ spl0_9
    | spl0_20
    | spl0_26
    | spl0_55 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s57,plain,
    ( spl0_2
    | ~ spl0_24
    | spl0_26
    | spl0_55 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s58,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_53
    | spl0_55 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s59,plain,
    ( spl0_1
    | spl0_26
    | spl0_45
    | spl0_56 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s60,plain,
    ( spl0_26
    | spl0_39
    | spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s61,plain,
    ( ~ spl0_6
    | ~ spl0_11
    | spl0_26
    | spl0_57 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s63,plain,
    ( spl0_16
    | spl0_26
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s65,plain,
    ( ~ spl0_23
    | spl0_26
    | spl0_49
    | spl0_57 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s82,plain,
    ( spl0_22
    | spl0_67 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s83,plain,
    ( spl0_22
    | spl0_68 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s85,plain,
    ( ~ spl0_17
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s86,plain,
    ( ~ spl0_17
    | spl0_70 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s87,plain,
    ( ~ spl0_17
    | spl0_71 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s89,plain,
    ( spl0_23
    | spl0_72 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s90,plain,
    ( spl0_23
    | spl0_73 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s91,plain,
    ( spl0_23
    | spl0_74 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s97,plain,
    ( spl0_7
    | spl0_78 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s98,plain,
    ( spl0_7
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s99,plain,
    ( spl0_7
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s101,plain,
    ( ~ spl0_19
    | spl0_81 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s102,plain,
    ( ~ spl0_19
    | spl0_82 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s103,plain,
    ( ~ spl0_19
    | spl0_83 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s109,plain,
    ( spl0_29
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s111,plain,
    ( spl0_29
    | spl0_89 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s120,plain,
    ( ~ spl0_3
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s129,plain,
    ( spl0_21
    | spl0_102 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s130,plain,
    ( spl0_21
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s131,plain,
    ( spl0_21
    | spl0_104 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s133,plain,
    ( ~ spl0_33
    | spl0_105 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s134,plain,
    ( ~ spl0_33
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s135,plain,
    ( ~ spl0_33
    | spl0_107 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s137,plain,
    ( ~ spl0_25
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s138,plain,
    ( ~ spl0_25
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s139,plain,
    ( ~ spl0_25
    | spl0_110 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s141,plain,
    ( ~ spl0_20
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s142,plain,
    ( ~ spl0_20
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s143,plain,
    ( ~ spl0_20
    | spl0_113 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s145,plain,
    ( spl0_24
    | spl0_114 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s146,plain,
    ( spl0_24
    | spl0_115 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s147,plain,
    ( spl0_24
    | spl0_116 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s149,plain,
    ( spl0_14
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s150,plain,
    ( spl0_14
    | spl0_118 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s151,plain,
    ( spl0_14
    | spl0_119 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s153,plain,
    ( ~ spl0_1
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s154,plain,
    ( ~ spl0_1
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s155,plain,
    ( ~ spl0_1
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s156,plain,
    ( ~ spl0_1
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s157,plain,
    ( spl0_11
    | spl0_123 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s158,plain,
    ( spl0_11
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s159,plain,
    ( spl0_11
    | spl0_125 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s165,plain,
    ( ~ spl0_16
    | spl0_129 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s166,plain,
    ( ~ spl0_16
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s167,plain,
    ( ~ spl0_16
    | spl0_131 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s173,plain,
    ( spl0_8
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s174,plain,
    ( spl0_8
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s175,plain,
    ( spl0_8
    | spl0_137 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s177,plain,
    ( spl0_9
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s178,plain,
    ( spl0_9
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s179,plain,
    ( spl0_9
    | spl0_140 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s185,plain,
    ( spl0_6
    | spl0_144 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s186,plain,
    ( spl0_6
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s187,plain,
    ( spl0_6
    | spl0_146 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s193,plain,
    ( ~ spl0_5
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s194,plain,
    ( ~ spl0_5
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s195,plain,
    ( ~ spl0_5
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s197,plain,
    ( spl0_18
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s198,plain,
    ( spl0_18
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s199,plain,
    ( spl0_18
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s204,plain,
    ( ~ spl0_2
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1226]) ).

cnf(s205,plain,
    ( spl0_15
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1231]) ).

cnf(s206,plain,
    ( spl0_15
    | spl0_160 ),
    inference(sat_conversion,[],[f1236]) ).

cnf(s207,plain,
    ( spl0_15
    | spl0_161 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s210,plain,
    ( ~ spl0_27
    | spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1269]) ).

cnf(s213,plain,
    ( ~ spl0_32
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s215,plain,
    ( ~ spl0_35
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s216,plain,
    ( ~ spl0_35
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s220,plain,
    ( ~ spl0_37
    | ~ spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s225,plain,
    ( ~ spl0_38
    | spl0_120
    | spl0_122
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1412]) ).

cnf(s227,plain,
    ( ~ spl0_38
    | spl0_135
    | spl0_136
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1422]) ).

cnf(s229,plain,
    ( ~ spl0_39
    | ~ spl0_67
    | ~ spl0_68
    | spl0_162 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s231,plain,
    ( ~ spl0_28
    | spl0_32
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1437]) ).

cnf(s235,plain,
    ( ~ spl0_35
    | ~ spl0_129
    | ~ spl0_131
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1466]) ).

cnf(s241,plain,
    ( ~ spl0_45
    | ~ spl0_115
    | ~ spl0_116
    | spl0_166 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s242,plain,
    ( ~ spl0_45
    | spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1551]) ).

cnf(s265,plain,
    ( ~ spl0_42
    | ~ spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s267,plain,
    ( ~ spl0_49
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s275,plain,
    ( ~ spl0_45
    | spl0_145
    | ~ spl0_146
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s279,plain,
    ( ~ spl0_34
    | spl0_139
    | ~ spl0_140
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1771]) ).

cnf(s281,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s285,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_146
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s295,plain,
    ( ~ spl0_48
    | spl0_120
    | spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s298,plain,
    ( ~ spl0_48
    | spl0_150
    | spl0_152
    | spl0_181 ),
    inference(sat_conversion,[],[f1863]) ).

cnf(s300,plain,
    ( ~ spl0_49
    | spl0_138
    | ~ spl0_140
    | spl0_184 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s310,plain,
    ( ~ spl0_40
    | ~ spl0_81
    | ~ spl0_82
    | spl0_165 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s316,plain,
    ( ~ spl0_39
    | ~ spl0_49
    | spl0_87
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s317,plain,
    ( ~ spl0_39
    | ~ spl0_49
    | spl0_138
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s318,plain,
    ( ~ spl0_32
    | ~ spl0_39
    | ~ spl0_45
    | ~ spl0_49
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s327,plain,
    ( ~ spl0_37
    | ~ spl0_114
    | ~ spl0_116
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s336,plain,
    ( ~ spl0_53
    | spl0_136
    | ~ spl0_137
    | spl0_173 ),
    inference(sat_conversion,[],[f2023]) ).

cnf(s348,plain,
    ( ~ spl0_54
    | spl0_124
    | ~ spl0_125
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s353,plain,
    ( ~ spl0_32
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s355,plain,
    ( ~ spl0_34
    | spl0_136
    | ~ spl0_137
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s360,plain,
    ( ~ spl0_44
    | ~ spl0_47
    | spl0_159
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s375,plain,
    ( ~ spl0_57
    | spl0_120
    | spl0_122
    | spl0_171 ),
    inference(sat_conversion,[],[f2300]) ).

cnf(s377,plain,
    ( ~ spl0_57
    | spl0_135
    | spl0_136
    | spl0_173 ),
    inference(sat_conversion,[],[f2302]) ).

cnf(s379,plain,
    ( ~ spl0_57
    | spl0_153
    | spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s381,plain,
    ( ~ spl0_38
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2325]) ).

cnf(s388,plain,
    ( ~ spl0_40
    | ~ spl0_123
    | ~ spl0_125
    | spl0_167 ),
    inference(sat_conversion,[],[f2332]) ).

cnf(s393,plain,
    ( ~ spl0_56
    | ~ spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s397,plain,
    ( ~ spl0_57
    | spl0_151
    | spl0_152
    | spl0_181 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s400,plain,
    ( ~ spl0_28
    | spl0_69
    | ~ spl0_70
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2344]) ).

cnf(s415,plain,
    ( ~ spl0_51
    | spl0_150
    | spl0_152
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s421,plain,
    ( ~ spl0_42
    | ~ spl0_144
    | ~ spl0_146
    | spl0_179 ),
    inference(sat_conversion,[],[f2430]) ).

cnf(s424,plain,
    ( ~ spl0_42
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f2433]) ).

cnf(s426,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_70
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2434]) ).

cnf(s441,plain,
    ( ~ spl0_50
    | ~ spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f2448]) ).

cnf(s458,plain,
    ( ~ spl0_40
    | ~ spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2465]) ).

cnf(s462,plain,
    ( ~ spl0_40
    | ~ spl0_105
    | spl0_106
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2469]) ).

cnf(s465,plain,
    ( ~ spl0_44
    | ~ spl0_47
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s475,plain,
    ( ~ spl0_49
    | spl0_120
    | spl0_121
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2482]) ).

cnf(s478,plain,
    ( ~ spl0_49
    | spl0_145
    | ~ spl0_146
    | spl0_179 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s481,plain,
    ( ~ spl0_53
    | spl0_69
    | ~ spl0_71
    | spl0_164 ),
    inference(sat_conversion,[],[f2488]) ).

cnf(s484,plain,
    ( ~ spl0_32
    | ~ spl0_82
    | ~ spl0_83
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2491]) ).

cnf(s487,plain,
    ( ~ spl0_50
    | ~ spl0_105
    | spl0_106
    | spl0_175 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s501,plain,
    ( ~ spl0_44
    | spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2507]) ).

cnf(s502,plain,
    ( ~ spl0_46
    | ~ spl0_129
    | ~ spl0_131
    | spl0_176 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s505,plain,
    ( ~ spl0_52
    | spl0_151
    | spl0_152
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s508,plain,
    ( ~ spl0_52
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2514]) ).

cnf(s512,plain,
    ( ~ spl0_54
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2518]) ).

cnf(s515,plain,
    ( ~ spl0_55
    | ~ spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2521]) ).

cnf(s522,plain,
    ( ~ spl0_37
    | spl0_39
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2528]) ).

cnf(s523,plain,
    ( ~ spl0_58
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2529]) ).

cnf(s537,plain,
    ( ~ spl0_44
    | spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2543]) ).

cnf(s538,plain,
    ( spl0_11
    | ~ spl0_40
    | spl0_6
    | spl0_26
    | spl0_1 ),
    inference(rat,[],[s478,s55,s275,s348,s59,s388,s393,s157,s158,s159,s187,s186]) ).

cnf(s541,plain,
    ( spl0_8
    | ~ spl0_38
    | spl0_26
    | spl0_2 ),
    inference(rat,[],[s267,s141,s142,s143,s52,s210,s85,s86,s87,s54,s55,s512,s149,s150,s151,s58,s515,s165,s166,s167,s63,s336,s377,s227,s523,s173,s174,s175]) ).

cnf(s544,plain,
    ( spl0_11
    | spl0_6
    | spl0_26
    | spl0_1 ),
    inference(rat,[],[s281,s206,s207,s34,s33,s421,s275,s59,s393,s538,s157,s158,s159,s187,s186,s185]) ).

cnf(s545,plain,
    ( ~ spl0_125
    | spl0_124
    | ~ spl0_123
    | ~ spl0_54
    | ~ spl0_40 ),
    inference(rat,[],[s348,s388]) ).

cnf(s546,plain,
    ( spl0_15
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(rat,[],[s281,s206,s207]) ).

cnf(s547,plain,
    ( spl0_23
    | ~ spl0_32 ),
    inference(rat,[],[s213,s89,s90,s91]) ).

cnf(s548,plain,
    ( spl0_18
    | ~ spl0_57 ),
    inference(rat,[],[s379,s197,s198,s199]) ).

cnf(s550,plain,
    ( ~ spl0_19
    | ~ spl0_32
    | ~ spl0_40 ),
    inference(rat,[],[s310,s484,s101,s102,s103]) ).

cnf(s553,plain,
    ( spl0_9
    | ~ spl0_38 ),
    inference(rat,[],[s381,s177,s178,s179]) ).

cnf(s554,plain,
    ( ~ spl0_20
    | ~ spl0_49 ),
    inference(rat,[],[s267,s141,s142,s143]) ).

cnf(s556,plain,
    ( ~ spl0_11
    | spl0_51
    | spl0_45
    | ~ spl0_6
    | spl0_26
    | spl0_2 ),
    inference(rat,[],[s441,s97,s98,s99,s3,s46,s553,s541,s548,s37,s61]) ).

cnf(s557,plain,
    ( spl0_11
    | ~ spl0_56 ),
    inference(rat,[],[s393,s157,s158,s159]) ).

cnf(s559,plain,
    ( spl0_32
    | ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s300,s279,s177,s178,s179,s56,s515,s554,s165,s166,s167,s53,s63,s336,s377,s355,s50,s508,s137,s138,s139,s27,s523,s541,s173,s174,s175,s17,s120,s1]) ).

cnf(s560,plain,
    ( ~ spl0_17
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_6
    | spl0_26 ),
    inference(rat,[],[s554,s53,s52,s481,s210,s426,s85,s86,s87]) ).

cnf(s561,plain,
    ( ~ spl0_49
    | ~ spl0_39
    | ~ spl0_32
    | ~ spl0_45
    | spl0_1 ),
    inference(rat,[],[s103,s8,s318,s554]) ).

cnf(s563,plain,
    ( spl0_20
    | spl0_50
    | spl0_6
    | ~ spl0_32
    | spl0_26
    | spl0_1 ),
    inference(rat,[],[s505,s298,s51,s42,s220,s465,s550,s101,s102,s103,s47,s8,s187,s186,s195,s194,s193,s10,s544,s547]) ).

cnf(s564,plain,
    ( spl0_50
    | spl0_6
    | ~ spl0_32
    | spl0_26
    | spl0_1 ),
    inference(rat,[],[s46,s415,s548,s397,s65,s554,s563,s195,s194,s193,s10,s544,s547]) ).

cnf(s565,plain,
    ( spl0_7
    | ~ spl0_50 ),
    inference(rat,[],[s441,s97,s98,s99]) ).

cnf(s566,plain,
    ( ~ spl0_38
    | ~ spl0_7
    | spl0_26
    | spl0_2 ),
    inference(rat,[],[s3,s553,s541]) ).

cnf(s569,plain,
    ( spl0_24
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(rat,[],[s327,s241,s145,s146,s147]) ).

cnf(s570,plain,
    ( ~ spl0_33
    | ~ spl0_40
    | ~ spl0_50 ),
    inference(rat,[],[s462,s487,s133,s134]) ).

cnf(s571,plain,
    ( spl0_6
    | ~ spl0_32
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s458,s129,s130,s131,s44,s570,s34,s421,s478,s546,s285,s37,s566,s565,s564,s544,s185,s186,s187,s120,s1]) ).

cnf(s572,plain,
    ( ~ spl0_45
    | ~ spl0_32
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s512,s149,s150,s151,s45,s537,s42,s424,s34,s561,s545,s28,s157,s158,s159,s215,s24,s241,s569,s145,s146,s147,s57,s515,s165,s166,s167,s6,s54,s560,s546,s120,s1,s547,s571]) ).

cnf(s573,plain,
    ( ~ spl0_32
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s415,s397,s193,s194,s195,s556,s10,s61,s557,s59,s572,s571,s547,s120,s1]) ).

cnf(s574,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s275,s37,s421,s544,s185,s186,s187,s541,s559,s17,s33,s573,s120,s1]) ).

cnf(s575,plain,
    ( ~ spl0_45
    | ~ spl0_50
    | ~ spl0_144
    | spl0_145
    | ~ spl0_146
    | ~ spl0_32
    | spl0_26 ),
    inference(rat,[],[s458,s129,s130,s131,s44,s570,s34,s421,s478,s285,s546]) ).

cnf(s576,plain,
    ( spl0_6
    | ~ spl0_32
    | spl0_1 ),
    inference(rat,[],[s515,s56,s165,s166,s167,s554,s63,s65,s377,s227,s523,s173,s174,s175,s3,s553,s37,s575,s565,s564,s544,s185,s186,s187,s204,s574,s547]) ).

cnf(s577,plain,
    ( ~ spl0_40
    | spl0_49
    | ~ spl0_50
    | spl0_26 ),
    inference(rat,[],[s458,s129,s130,s131,s44,s570]) ).

cnf(s578,plain,
    ( spl0_49
    | ~ spl0_50
    | ~ spl0_15
    | spl0_26 ),
    inference(rat,[],[s424,s42,s34,s577,s537]) ).

cnf(s579,plain,
    ( ~ spl0_11
    | ~ spl0_45
    | ~ spl0_32
    | spl0_1 ),
    inference(rat,[],[s220,s101,s102,s103,s8,s554,s578,s46,s415,s397,s193,s194,s195,s548,s24,s10,s61,s547,s546,s560,s576,s204,s574]) ).

cnf(s580,plain,
    ( spl0_39
    | spl0_56
    | ~ spl0_129
    | ~ spl0_131
    | ~ spl0_23
    | spl0_26 ),
    inference(rat,[],[s502,s235,s60,s28]) ).

cnf(s581,plain,
    ( ~ spl0_45
    | ~ spl0_32
    | spl0_1 ),
    inference(rat,[],[s512,s149,s150,s151,s45,s545,s578,s55,s561,s580,s557,s157,s158,s159,s579,s165,s167,s6,s560,s546,s204,s574,s547,s576]) ).

cnf(s582,plain,
    ( ~ spl0_32
    | spl0_1 ),
    inference(rat,[],[s227,s377,s173,s174,s3,s565,s46,s415,s397,s553,s193,s194,s195,s548,s37,s10,s61,s557,s59,s581,s576,s547,s204,s574]) ).

cnf(s583,plain,
    ( spl0_6
    | ~ spl0_45
    | ~ spl0_42 ),
    inference(rat,[],[s421,s275,s185,s186,s187]) ).

cnf(s584,plain,
    ( ~ spl0_173
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s508,s137,s138,s139,s50,s27,s355,s227,s175,s174,s173,s17,s582,s204,s574]) ).

cnf(s585,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s508,s50,s137,s138,s139,s279,s27,s300,s553,s177,s178,s179,s56,s515,s554,s165,s166,s167,s53,s63,s336,s377,s584,s523,s173,s174,s175,s17,s582,s204,s574]) ).

cnf(s586,plain,
    spl0_1,
    inference(rat,[],[s512,s55,s149,s150,s151,s554,s58,s56,s515,s165,s166,s167,s63,s336,s377,s227,s553,s37,s583,s544,s585,s523,s173,s174,s175,s17,s33,s582,s204,s574]) ).

cnf(s587,plain,
    ~ spl0_26,
    inference(rat,[],[s156,s586]) ).

cnf(s588,plain,
    ~ spl0_122,
    inference(rat,[],[s155,s586]) ).

cnf(s589,plain,
    ~ spl0_121,
    inference(rat,[],[s154,s586]) ).

cnf(s590,plain,
    ~ spl0_120,
    inference(rat,[],[s153,s586]) ).

cnf(s591,plain,
    ~ spl0_48,
    inference(rat,[],[s295,s588,s589,s590]) ).

cnf(s592,plain,
    ( ~ spl0_5
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(rat,[],[s415,s397,s193,s194,s195]) ).

cnf(s593,plain,
    ( spl0_6
    | ~ spl0_45
    | ~ spl0_32 ),
    inference(rat,[],[s348,s388,s157,s158,s159,s10,s592,s46,s548,s65,s55,s478,s34,s575,s285,s583,s185,s186,s187,s547,s546,s587]) ).

cnf(s594,plain,
    ( ~ spl0_11
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(rat,[],[s578,s46,s475,s592,s375,s548,s10,s61,s587,s589,s590,s588]) ).

cnf(s595,plain,
    ( ~ spl0_49
    | ~ spl0_39
    | spl0_55 ),
    inference(rat,[],[s317,s177,s179,s56,s554,s587]) ).

cnf(s596,plain,
    ( ~ spl0_45
    | ~ spl0_32 ),
    inference(rat,[],[s512,s149,s150,s151,s45,s545,s578,s55,s595,s580,s557,s157,s158,s159,s594,s515,s165,s166,s167,s6,s560,s593,s546,s547,s587]) ).

cnf(s597,plain,
    ( ~ spl0_16
    | ~ spl0_55 ),
    inference(rat,[],[s515,s165,s166,s167]) ).

cnf(s598,plain,
    ( spl0_8
    | ~ spl0_58 ),
    inference(rat,[],[s523,s173,s174,s175]) ).

cnf(s599,plain,
    ( ~ spl0_17
    | ~ spl0_58
    | spl0_16
    | ~ spl0_49 ),
    inference(rat,[],[s316,s109,s111,s522,s15,s26,s400,s481,s52,s210,s85,s86,s87,s554,s587]) ).

cnf(s600,plain,
    ( spl0_14
    | ~ spl0_54 ),
    inference(rat,[],[s512,s149,s150,s151]) ).

cnf(s601,plain,
    ( spl0_29
    | ~ spl0_39
    | ~ spl0_49 ),
    inference(rat,[],[s316,s109,s111]) ).

cnf(s602,plain,
    ( spl0_22
    | ~ spl0_39
    | ~ spl0_32 ),
    inference(rat,[],[s229,s353,s82,s83]) ).

cnf(s603,plain,
    ( ~ spl0_11
    | spl0_6
    | ~ spl0_32 ),
    inference(rat,[],[s458,s129,s130,s131,s9,s602,s522,s24,s599,s42,s465,s47,s565,s3,s598,s63,s597,s56,s554,s65,s375,s225,s553,s37,s547,s596,s187,s186,s587,s591,s588,s590]) ).

cnf(s604,plain,
    ( ~ spl0_40
    | ~ spl0_49
    | spl0_11
    | ~ spl0_32 ),
    inference(rat,[],[s458,s129,s130,s131,s9,s597,s602,s595,s28,s216,s388,s547,s159,s157,s587]) ).

cnf(s605,plain,
    ( ~ spl0_49
    | spl0_6
    | ~ spl0_32 ),
    inference(rat,[],[s317,s177,s179,s3,s598,s63,s597,s565,s595,s47,s60,s465,s501,s42,s604,s375,s475,s554,s596,s187,s186,s557,s603,s587,s591,s588,s590,s589]) ).

cnf(s606,plain,
    ( spl0_6
    | ~ spl0_32 ),
    inference(rat,[],[s537,s42,s45,s545,s600,s55,s605,s157,s158,s159,s603,s587,s591]) ).

cnf(s607,plain,
    ( ~ spl0_49
    | ~ spl0_32 ),
    inference(rat,[],[s317,s177,s179,s3,s565,s47,s360,s205,s207,s6,s599,s598,s63,s597,s595,s60,s501,s42,s604,s557,s61,s375,s475,s554,s596,s606,s587,s591,s588,s590,s589]) ).

cnf(s608,plain,
    ~ spl0_32,
    inference(rat,[],[s537,s45,s42,s545,s157,s158,s159,s37,s225,s375,s600,s65,s55,s607,s596,s547,s587,s591,s588,s590]) ).

cnf(s609,plain,
    spl0_42,
    inference(rat,[],[s33,s587,s608]) ).

cnf(s610,plain,
    ( ~ spl0_11
    | ~ spl0_49 ),
    inference(rat,[],[s601,s15,s522,s231,s24,s599,s63,s597,s56,s553,s37,s583,s61,s554,s375,s475,s587,s608,s609,s590,s588,s589]) ).

cnf(s611,plain,
    ~ spl0_33,
    inference(rat,[],[s265,s133,s134,s135,s609]) ).

cnf(s612,plain,
    spl0_44,
    inference(rat,[],[s36,s587,s608,s611]) ).

cnf(s618,plain,
    ( ~ spl0_39
    | ~ spl0_49 ),
    inference(rat,[],[s25,s598,s231,s63,s15,s597,s601,s595,s375,s475,s587,s608,s590,s588,s589]) ).

cnf(s619,plain,
    ( spl0_15
    | ~ spl0_45 ),
    inference(rat,[],[s242,s205,s206,s207]) ).

cnf(s620,plain,
    ( spl0_16
    | ~ spl0_49 ),
    inference(rat,[],[s599,s6,s63,s375,s475,s619,s501,s60,s618,s557,s610,s587,s612,s590,s588,s589]) ).

cnf(s621,plain,
    ~ spl0_49,
    inference(rat,[],[s50,s508,s279,s137,s138,s139,s300,s21,s177,s178,s179,s235,s56,s502,s597,s165,s167,s620,s60,s618,s557,s610,s554,s608,s587,s611]) ).

cnf(s622,plain,
    ~ spl0_21,
    inference(rat,[],[s44,s621,s587,s611]) ).

cnf(s623,plain,
    ~ spl0_50,
    inference(rat,[],[s537,s621,s612]) ).

cnf(s624,plain,
    spl0_54,
    inference(rat,[],[s55,s587,s621]) ).

cnf(s625,plain,
    spl0_104,
    inference(rat,[],[s131,s622]) ).

cnf(s626,plain,
    ~ spl0_103,
    inference(rat,[],[s130,s622]) ).

cnf(s627,plain,
    spl0_102,
    inference(rat,[],[s129,s622]) ).

cnf(s628,plain,
    spl0_14,
    inference(rat,[],[s600,s624]) ).

cnf(s630,plain,
    ~ spl0_40,
    inference(rat,[],[s458,s625,s626,s627]) ).

cnf(s633,plain,
    $false,
    inference(rat,[],[s45,s623,s587,s628,s630]) ).

fof(f2544,plain,
    $false,
    inference(avatar_sat_refutation,[],[s633]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN505+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n007.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:17:56 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.31  % (2529818)Will run a generic schedule for satisfiability detection.
% 0.19/0.31  % (2529823)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2165082034_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31  % Detected minimum model sizes of [1]
% 0.19/0.31  % Detected maximum model sizes of [32]
% 0.19/0.31  % TRYING [1]
% 0.19/0.31  % (2529824)% WARNING: option uhcvi not known.
% 0.19/0.31  % TRYING [2]
% 0.19/0.31  % TRYING [3]
% 0.19/0.31  % (2529824)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1856778360:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31  % (2529825)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1949300940:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31  % (2529828)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2155524365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31  % (2529826)dis+10_1_sil=32000:sp=arity:random_seed=3748779567:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31  % (2529827)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3634997935:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31  % (2529829)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3008231703:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31  % TRYING [4]
% 0.19/0.31  % (2529829) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2529818-2529829"...
% 0.19/0.31  % TRYING [5]
% 0.19/0.31  % (2529829)...printing done.
% 0.19/0.31  % (2529829)Refutation found. Thanks to Tanya!
% 0.19/0.31  % SZS status Theorem for theBenchmark
% 0.19/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31  % (2529829)------------------------------
% 0.19/0.31  % (2529829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (2529829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (2529829)CaDiCaL version: 2.1.3
% 0.19/0.31  % (2529829)Termination reason: Refutation
% 0.19/0.31  % (2529829)Time elapsed: 0.035 s
% 0.19/0.31  % (2529829)Peak memory usage: 14 MB
% 0.19/0.31  % (2529829)Instructions burned: 61 (million)
% 0.19/0.31  % (2529818)Success in time 0.082 s
% 0.19/0.31  % Vampire exiting
%------------------------------------------------------------------------------