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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN470+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 02:10:28 PM UTC 2026

% Result   : Theorem 0.18s 0.29s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  895 (  20 unt; 129 def)
%            Number of atoms       : 6367 (   0 equ)
%            Maximal formula atoms :  679 (   7 avg)
%            Number of connectives : 8335 (2863   ~;4053   |; 975   &)
%                                         ( 129 <=>; 315  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  167 ( 166 usr; 163 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  752 (   0 sgn 752   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c3_1(a494)
          & ~ c0_1(a494)
          & ~ c2_1(a494) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a495)
          & ~ c0_1(a495)
          & ~ c3_1(a495) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a496)
          & ~ c2_1(a496)
          & ~ c3_1(a496) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a497)
          & ~ c0_1(a497)
          & ~ c1_1(a497) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a498)
          & ~ c0_1(a498)
          & ~ c2_1(a498) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a499)
          & c2_1(a499)
          & ~ c1_1(a499) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a501)
          & c2_1(a501)
          & ~ c3_1(a501) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c0_1(a502)
          & ~ c1_1(a502)
          & ~ c3_1(a502) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a505)
          & c3_1(a505)
          & ~ c0_1(a505) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a507)
          & ~ c0_1(a507)
          & ~ c1_1(a507) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a509)
          & c3_1(a509)
          & ~ c2_1(a509) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a510)
          & ~ c1_1(a510)
          & ~ c2_1(a510) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a514)
          & c3_1(a514)
          & ~ c2_1(a514) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a520)
          & c2_1(a520)
          & ~ c3_1(a520) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a527)
          & ~ c1_1(a527)
          & ~ c3_1(a527) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a528)
          & c1_1(a528)
          & ~ c3_1(a528) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a530)
          & c3_1(a530)
          & ~ c1_1(a530) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a532)
          & ~ c1_1(a532)
          & ~ c2_1(a532) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a533)
          & c2_1(a533)
          & ~ c0_1(a533) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a534)
          & ~ c2_1(a534)
          & ~ c3_1(a534) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a536)
          & ~ c1_1(a536)
          & ~ c2_1(a536) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a538)
          & ~ c1_1(a538)
          & ~ c3_1(a538) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a540)
          & c3_1(a540)
          & ~ c0_1(a540) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a541)
          & c1_1(a541)
          & ~ c2_1(a541) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a554)
          & ~ c2_1(a554)
          & ~ c3_1(a554) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a558)
          & ~ c0_1(a558)
          & ~ c3_1(a558) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a559)
          & ~ c2_1(a559)
          & ~ c3_1(a559) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a568)
          & c3_1(a568)
          & ~ c1_1(a568) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a500)
          & c2_1(a500)
          & c3_1(a500) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a504)
          & c1_1(a504)
          & c3_1(a504) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a512)
          & c2_1(a512)
          & c3_1(a512) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a522)
          & c1_1(a522)
          & c2_1(a522) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c1_1(X4)
              | ~ c2_1(X4) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c0_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | ~ c1_1(X8)
              | ~ c2_1(X8) ) )
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c2_1(X10)
              | ~ c3_1(X10) ) )
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c0_1(X12)
              | ~ c2_1(X12) ) )
        | hskp4 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp5 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | hskp28
        | hskp6 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | ~ c1_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | ~ c1_1(X18)
              | ~ c3_1(X18) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c0_1(X20)
              | ~ c2_1(X20) ) )
        | hskp7 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c0_1(X22)
              | ~ c3_1(X22) ) )
        | hskp28 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | hskp29
        | hskp8 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | hskp6
        | hskp9 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c0_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c0_1(X32)
              | ~ c1_1(X32) ) )
        | hskp6 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | hskp10
        | hskp11 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c2_1(X38)
              | ~ c0_1(X38) ) )
        | hskp9 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | hskp30
        | hskp4 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | hskp12
        | hskp8 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c0_1(X43)
              | ~ c1_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | hskp8 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | hskp1
        | hskp7 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c1_1(X48)
              | ~ c2_1(X48) ) )
        | hskp28 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | hskp13
        | hskp30 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | hskp31
        | hskp30 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | hskp31
        | 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) ) )
        | hskp10 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | ~ c1_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c0_1(X58) ) )
        | hskp14 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c0_1(X60)
              | ~ c1_1(X60) ) )
        | hskp15 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | hskp28
        | hskp16 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp4
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | c3_1(X63) ) )
        | hskp18
        | hskp19 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp9 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c0_1(X67)
              | ~ c2_1(X67) ) )
        | hskp20 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | hskp9 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) )
        | hskp21 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | hskp3 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | hskp22 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | hskp23 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | hskp31
        | hskp4 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp5
        | hskp7 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | hskp12
        | hskp20 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp29 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp20 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp2 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp31 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c0_1(X89)
              | ~ c1_1(X89) ) )
        | hskp5
        | hskp4 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | hskp24 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | hskp15
        | hskp10 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | ~ c1_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c0_1(X94)
              | ~ c2_1(X94) ) )
        | hskp17 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c1_1(X95)
              | ~ c3_1(X95) ) )
        | hskp25
        | hskp26 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | hskp2 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp16
        | hskp25 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c1_1(X99)
              | ~ c2_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | hskp0 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp12
        | hskp8 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp13
        | hskp3 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp27
        | hskp19 )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp22
        | hskp17 )
      & ( hskp15
        | hskp13
        | hskp12 )
      & ( hskp28
        | hskp13
        | hskp10 )
      & ( hskp28
        | hskp21
        | hskp20 )
      & ( hskp13
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp10
        | hskp26 )
      & ( hskp11
        | hskp17
        | hskp26 )
      & ( hskp4
        | hskp8
        | hskp2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c3_1(a494)
            & ~ c0_1(a494)
            & ~ c2_1(a494) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a495)
            & ~ c0_1(a495)
            & ~ c3_1(a495) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a496)
            & ~ c2_1(a496)
            & ~ c3_1(a496) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a497)
            & ~ c0_1(a497)
            & ~ c1_1(a497) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a498)
            & ~ c0_1(a498)
            & ~ c2_1(a498) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a499)
            & c2_1(a499)
            & ~ c1_1(a499) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a501)
            & c2_1(a501)
            & ~ c3_1(a501) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c0_1(a502)
            & ~ c1_1(a502)
            & ~ c3_1(a502) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a505)
            & c3_1(a505)
            & ~ c0_1(a505) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a507)
            & ~ c0_1(a507)
            & ~ c1_1(a507) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a509)
            & c3_1(a509)
            & ~ c2_1(a509) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a510)
            & ~ c1_1(a510)
            & ~ c2_1(a510) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a514)
            & c3_1(a514)
            & ~ c2_1(a514) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a520)
            & c2_1(a520)
            & ~ c3_1(a520) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a527)
            & ~ c1_1(a527)
            & ~ c3_1(a527) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a528)
            & c1_1(a528)
            & ~ c3_1(a528) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a530)
            & c3_1(a530)
            & ~ c1_1(a530) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a532)
            & ~ c1_1(a532)
            & ~ c2_1(a532) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a533)
            & c2_1(a533)
            & ~ c0_1(a533) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a534)
            & ~ c2_1(a534)
            & ~ c3_1(a534) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a536)
            & ~ c1_1(a536)
            & ~ c2_1(a536) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a538)
            & ~ c1_1(a538)
            & ~ c3_1(a538) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a540)
            & c3_1(a540)
            & ~ c0_1(a540) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a541)
            & c1_1(a541)
            & ~ c2_1(a541) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a554)
            & ~ c2_1(a554)
            & ~ c3_1(a554) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a558)
            & ~ c0_1(a558)
            & ~ c3_1(a558) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a559)
            & ~ c2_1(a559)
            & ~ c3_1(a559) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a568)
            & c3_1(a568)
            & ~ c1_1(a568) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a500)
            & c2_1(a500)
            & c3_1(a500) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a504)
            & c1_1(a504)
            & c3_1(a504) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a512)
            & c2_1(a512)
            & c3_1(a512) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a522)
            & c1_1(a522)
            & c2_1(a522) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c1_1(X4)
                | ~ c2_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c0_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c1_1(X8)
                | ~ c2_1(X8) ) )
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) )
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c0_1(X12)
                | ~ c2_1(X12) ) )
          | hskp4 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp5 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | hskp28
          | hskp6 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c0_1(X20)
                | ~ c2_1(X20) ) )
          | hskp7 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c3_1(X22) ) )
          | hskp28 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp29
          | hskp8 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | hskp6
          | hskp9 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | ~ c1_1(X32) ) )
          | hskp6 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp10
          | hskp11 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c2_1(X38)
                | ~ c0_1(X38) ) )
          | hskp9 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | hskp30
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp12
          | hskp8 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | ~ c1_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | hskp8 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | hskp1
          | hskp7 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp28 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | hskp13
          | hskp30 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | hskp31
          | hskp30 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | hskp31
          | 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) ) )
          | hskp10 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) )
          | hskp14 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c0_1(X60)
                | ~ c1_1(X60) ) )
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp28
          | hskp16 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp4
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | c3_1(X63) ) )
          | hskp18
          | hskp19 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp9 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c2_1(X67) ) )
          | hskp20 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | hskp9 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp21 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | hskp3 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp22 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp23 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp31
          | hskp4 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp5
          | hskp7 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | hskp12
          | hskp20 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp29 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp20 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp2 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp31 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | hskp5
          | hskp4 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | hskp24 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | hskp15
          | hskp10 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c0_1(X94)
                | ~ c2_1(X94) ) )
          | hskp17 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp25
          | hskp26 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | hskp2 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp16
          | hskp25 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c1_1(X99)
                | ~ c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp0 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp12
          | hskp8 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp13
          | hskp3 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp27
          | hskp19 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp22
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp12 )
        & ( hskp28
          | hskp13
          | hskp10 )
        & ( hskp28
          | hskp21
          | hskp20 )
        & ( hskp13
          | hskp6
          | hskp14 )
        & ( hskp27
          | hskp10
          | hskp26 )
        & ( hskp11
          | hskp17
          | hskp26 )
        & ( hskp4
          | hskp8
          | hskp2 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a494)
        & ~ c0_1(a494)
        & ~ c2_1(a494) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a495)
        & ~ c0_1(a495)
        & ~ c3_1(a495) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a496)
        & ~ c2_1(a496)
        & ~ c3_1(a496) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a497)
        & ~ c0_1(a497)
        & ~ c1_1(a497) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a498)
        & ~ c0_1(a498)
        & ~ c2_1(a498) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a499)
        & c2_1(a499)
        & ~ c1_1(a499) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a501)
        & c2_1(a501)
        & ~ c3_1(a501) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a502)
        & ~ c1_1(a502)
        & ~ c3_1(a502) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a505)
        & c3_1(a505)
        & ~ c0_1(a505) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a509)
        & c3_1(a509)
        & ~ c2_1(a509) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a510)
        & ~ c1_1(a510)
        & ~ c2_1(a510) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a514)
        & c3_1(a514)
        & ~ c2_1(a514) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a520)
        & c2_1(a520)
        & ~ c3_1(a520) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a527)
        & ~ c1_1(a527)
        & ~ c3_1(a527) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a528)
        & c1_1(a528)
        & ~ c3_1(a528) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a530)
        & c3_1(a530)
        & ~ c1_1(a530) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a532)
        & ~ c1_1(a532)
        & ~ c2_1(a532) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a533)
        & c2_1(a533)
        & ~ c0_1(a533) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a534)
        & ~ c2_1(a534)
        & ~ c3_1(a534) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a536)
        & ~ c1_1(a536)
        & ~ c2_1(a536) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a538)
        & ~ c1_1(a538)
        & ~ c3_1(a538) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a540)
        & c3_1(a540)
        & ~ c0_1(a540) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & ~ c2_1(a541) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a554)
        & ~ c2_1(a554)
        & ~ c3_1(a554) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a558)
        & ~ c0_1(a558)
        & ~ c3_1(a558) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a559)
        & ~ c2_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a568)
        & c3_1(a568)
        & ~ c1_1(a568) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a500)
        & c2_1(a500)
        & c3_1(a500) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a504)
        & c1_1(a504)
        & c3_1(a504) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a512)
        & c2_1(a512)
        & c3_1(a512) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a522)
        & c1_1(a522)
        & c2_1(a522) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c2_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | ~ c1_1(X4)
            | ~ c2_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c3_1(X6)
            | ~ c0_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c1_1(X8)
            | ~ c2_1(X8) ) )
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) )
      | hskp3 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c0_1(X12)
            | ~ c2_1(X12) ) )
      | hskp4 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp5 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | hskp28
      | hskp6 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | ~ c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | ~ c1_1(X18)
            | ~ c3_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | ~ c0_1(X20)
            | ~ c2_1(X20) ) )
      | hskp7 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | ~ c0_1(X22)
            | ~ c3_1(X22) ) )
      | hskp28 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp29
      | hskp8 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | hskp6
      | hskp9 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | ~ c1_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | ~ c0_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c0_1(X32)
            | ~ c1_1(X32) ) )
      | hskp6 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | hskp10
      | hskp11 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c2_1(X38)
            | ~ c0_1(X38) ) )
      | hskp9 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | hskp30
      | hskp4 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c1_1(X40) ) )
      | hskp12
      | hskp8 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | ~ c0_1(X43)
            | ~ c1_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c0_1(X45)
            | ~ c3_1(X45) ) )
      | hskp8 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | hskp1
      | hskp7 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c1_1(X48)
            | ~ c2_1(X48) ) )
      | hskp28 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | hskp13
      | hskp30 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | hskp31
      | hskp30 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | hskp31
      | 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) ) )
      | hskp10 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c0_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | ~ c0_1(X56)
            | ~ c1_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c0_1(X58) ) )
      | hskp14 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c2_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c0_1(X60)
            | ~ c1_1(X60) ) )
      | hskp15 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | hskp28
      | hskp16 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp4
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | c3_1(X63) ) )
      | hskp18
      | hskp19 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp9 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | ~ c2_1(X67) ) )
      | hskp20 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | hskp9 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c1_1(X71)
            | ~ c2_1(X71) ) )
      | hskp21 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c1_1(X73)
            | ~ c2_1(X73) ) )
      | hskp3 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp22 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp23 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | hskp31
      | hskp4 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp5
      | hskp7 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | ~ c2_1(X80) ) )
      | hskp12
      | hskp20 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp29 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp20 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | hskp2 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c0_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp31 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | hskp5
      | hskp4 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | hskp24 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | hskp15
      | hskp10 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c1_1(X93)
            | ~ c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c0_1(X94)
            | ~ c2_1(X94) ) )
      | hskp17 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c1_1(X95)
            | ~ c3_1(X95) ) )
      | hskp25
      | hskp26 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | hskp2 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp16
      | hskp25 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c1_1(X99)
            | ~ c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | ~ c2_1(X100)
            | ~ c3_1(X100) ) )
      | hskp0 )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp12
      | hskp8 )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp13
      | hskp3 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp27
      | hskp19 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp12 )
    & ( hskp28
      | hskp13
      | hskp10 )
    & ( hskp28
      | hskp21
      | hskp20 )
    & ( hskp13
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp17
      | hskp26 )
    & ( hskp4
      | hskp8
      | hskp2 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a494)
        & ~ c0_1(a494)
        & ~ c2_1(a494) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a495)
        & ~ c0_1(a495)
        & ~ c3_1(a495) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a496)
        & ~ c2_1(a496)
        & ~ c3_1(a496) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a497)
        & ~ c0_1(a497)
        & ~ c1_1(a497) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a498)
        & ~ c0_1(a498)
        & ~ c2_1(a498) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a499)
        & c2_1(a499)
        & ~ c1_1(a499) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a501)
        & c2_1(a501)
        & ~ c3_1(a501) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a502)
        & ~ c1_1(a502)
        & ~ c3_1(a502) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a505)
        & c3_1(a505)
        & ~ c0_1(a505) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a509)
        & c3_1(a509)
        & ~ c2_1(a509) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a510)
        & ~ c1_1(a510)
        & ~ c2_1(a510) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a514)
        & c3_1(a514)
        & ~ c2_1(a514) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a520)
        & c2_1(a520)
        & ~ c3_1(a520) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a527)
        & ~ c1_1(a527)
        & ~ c3_1(a527) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a528)
        & c1_1(a528)
        & ~ c3_1(a528) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a530)
        & c3_1(a530)
        & ~ c1_1(a530) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a532)
        & ~ c1_1(a532)
        & ~ c2_1(a532) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a533)
        & c2_1(a533)
        & ~ c0_1(a533) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a534)
        & ~ c2_1(a534)
        & ~ c3_1(a534) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a536)
        & ~ c1_1(a536)
        & ~ c2_1(a536) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a538)
        & ~ c1_1(a538)
        & ~ c3_1(a538) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a540)
        & c3_1(a540)
        & ~ c0_1(a540) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & ~ c2_1(a541) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a554)
        & ~ c2_1(a554)
        & ~ c3_1(a554) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a558)
        & ~ c0_1(a558)
        & ~ c3_1(a558) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a559)
        & ~ c2_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a568)
        & c3_1(a568)
        & ~ c1_1(a568) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a500)
        & c2_1(a500)
        & c3_1(a500) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a504)
        & c1_1(a504)
        & c3_1(a504) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a512)
        & c2_1(a512)
        & c3_1(a512) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a522)
        & c1_1(a522)
        & c2_1(a522) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c3_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | hskp28
      | hskp6 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp6
      | hskp9 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp30
      | hskp4 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp1
      | hskp7 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp13
      | hskp30 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp31
      | hskp30 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp31
      | 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 )
      | hskp10 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp31
      | hskp4 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp5
      | hskp7 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp10 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp16
      | hskp25 )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp13
      | hskp3 )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp12 )
    & ( hskp28
      | hskp13
      | hskp10 )
    & ( hskp28
      | hskp21
      | hskp20 )
    & ( hskp13
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp17
      | hskp26 )
    & ( hskp4
      | hskp8
      | hskp2 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a494)
        & ~ c0_1(a494)
        & ~ c2_1(a494) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a495)
        & ~ c0_1(a495)
        & ~ c3_1(a495) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a496)
        & ~ c2_1(a496)
        & ~ c3_1(a496) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a497)
        & ~ c0_1(a497)
        & ~ c1_1(a497) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a498)
        & ~ c0_1(a498)
        & ~ c2_1(a498) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a499)
        & c2_1(a499)
        & ~ c1_1(a499) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a501)
        & c2_1(a501)
        & ~ c3_1(a501) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a502)
        & ~ c1_1(a502)
        & ~ c3_1(a502) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a505)
        & c3_1(a505)
        & ~ c0_1(a505) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a509)
        & c3_1(a509)
        & ~ c2_1(a509) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a510)
        & ~ c1_1(a510)
        & ~ c2_1(a510) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a514)
        & c3_1(a514)
        & ~ c2_1(a514) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a520)
        & c2_1(a520)
        & ~ c3_1(a520) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a527)
        & ~ c1_1(a527)
        & ~ c3_1(a527) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a528)
        & c1_1(a528)
        & ~ c3_1(a528) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a530)
        & c3_1(a530)
        & ~ c1_1(a530) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a532)
        & ~ c1_1(a532)
        & ~ c2_1(a532) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a533)
        & c2_1(a533)
        & ~ c0_1(a533) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a534)
        & ~ c2_1(a534)
        & ~ c3_1(a534) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a536)
        & ~ c1_1(a536)
        & ~ c2_1(a536) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a538)
        & ~ c1_1(a538)
        & ~ c3_1(a538) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a540)
        & c3_1(a540)
        & ~ c0_1(a540) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & ~ c2_1(a541) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a554)
        & ~ c2_1(a554)
        & ~ c3_1(a554) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a558)
        & ~ c0_1(a558)
        & ~ c3_1(a558) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a559)
        & ~ c2_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a568)
        & c3_1(a568)
        & ~ c1_1(a568) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a500)
        & c2_1(a500)
        & c3_1(a500) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a504)
        & c1_1(a504)
        & c3_1(a504) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a512)
        & c2_1(a512)
        & c3_1(a512) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a522)
        & c1_1(a522)
        & c2_1(a522) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c3_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | hskp28
      | hskp6 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp6
      | hskp9 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp30
      | hskp4 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp1
      | hskp7 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp13
      | hskp30 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp31
      | hskp30 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp31
      | 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 )
      | hskp10 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp31
      | hskp4 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp5
      | hskp7 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp10 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp16
      | hskp25 )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp13
      | hskp3 )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp12 )
    & ( hskp28
      | hskp13
      | hskp10 )
    & ( hskp28
      | hskp21
      | hskp20 )
    & ( hskp13
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp17
      | hskp26 )
    & ( hskp4
      | hskp8
      | hskp2 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp4
    | hskp8
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp11
    | hskp17
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp27
    | hskp10
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp15
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X101] :
      ( ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | hskp12
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X96,X97] :
      ( c3_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X92] :
      ( c2_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp15
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X90,X91] :
      ( c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X89] :
      ( c2_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | hskp5
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X86,X85] :
      ( c2_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X78] :
      ( c1_1(X78)
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | hskp31
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c0_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X63] :
      ( c1_1(X63)
      | c2_1(X63)
      | c3_1(X63)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp4
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,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
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X40] :
      ( c0_1(X40)
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | hskp12
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c2_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c0_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | ~ c0_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X18,X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | c2_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | c2_1(X18)
      | ~ c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c0_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp31
    | c2_1(a522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp31
    | c1_1(a522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp31
    | c0_1(a522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c3_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c2_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c0_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | ~ c1_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp27
    | c3_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c0_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | ~ c2_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | ~ c0_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp24
    | ~ c3_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | ~ c2_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | c0_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c0_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | c3_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | c1_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c2_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c1_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | ~ c0_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp19
    | ~ c3_1(a534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp19
    | ~ c2_1(a534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp19
    | c1_1(a534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp18
    | ~ c0_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp18
    | c2_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp18
    | c1_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c2_1(a532) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | ~ c1_1(a532) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | c3_1(a532) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c3_1(a528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | c1_1(a528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c0_1(a528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | c2_1(a520) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c0_1(a520) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c2_1(a514) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | c3_1(a514) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | c1_1(a514) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c2_1(a510) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c0_1(a510) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | c3_1(a509) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | c0_1(a509) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp9
    | ~ c0_1(a507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp9
    | c3_1(a507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | c3_1(a505) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | c2_1(a505) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c3_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp7
    | ~ c1_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp7
    | ~ c0_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp6
    | ~ c3_1(a501) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp6
    | c2_1(a501) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp6
    | c1_1(a501) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c1_1(a499) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c2_1(a499) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c0_1(a499) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | ~ c0_1(a498) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | c1_1(a498) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp3
    | c2_1(a497) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp2
    | ~ c3_1(a496) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp2
    | ~ c2_1(a496) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp2
    | ~ c1_1(a496) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp2
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f211,plain,
    ( ~ hskp2
    | c2_1(a496) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f212,plain,
    ( ~ hskp2
    | c3_1(a496) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f214,plain,
    ( hskp3
    | ~ c2_1(a497) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f215,plain,
    ( hskp3
    | c0_1(a497) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f216,plain,
    ( hskp3
    | ~ c1_1(a497) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f217,plain,
    ( ~ hskp4
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f218,plain,
    ( ~ hskp4
    | c0_1(a498) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f219,plain,
    ( ~ hskp4
    | c2_1(a498) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f221,plain,
    ( hskp5
    | ~ c0_1(a499) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f222,plain,
    ( hskp5
    | ~ c2_1(a499) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f223,plain,
    ( hskp5
    | ~ c1_1(a499) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f225,plain,
    ( ~ hskp6
    | ~ c2_1(a501) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f226,plain,
    ( ~ hskp6
    | c3_1(a501) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f228,plain,
    ( ~ hskp7
    | c0_1(a502) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f229,plain,
    ( ~ hskp7
    | c3_1(a502) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f230,plain,
    ( ~ hskp8
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f231,plain,
    ( ~ hskp8
    | ~ c2_1(a505) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f232,plain,
    ( ~ hskp8
    | ~ c3_1(a505) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f233,plain,
    ( ~ hskp8
    | c0_1(a505) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f235,plain,
    ( ~ hskp9
    | ~ c3_1(a507) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f236,plain,
    ( ~ hskp9
    | c0_1(a507) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f238,plain,
    ( hskp10
    | ~ c0_1(a509) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f239,plain,
    ( hskp10
    | ~ c3_1(a509) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f240,plain,
    ( hskp10
    | c2_1(a509) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f242,plain,
    ( hskp11
    | ~ c0_1(a510) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f243,plain,
    ( hskp11
    | ~ c1_1(a510) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f244,plain,
    ( hskp11
    | c2_1(a510) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f246,plain,
    ( ~ hskp12
    | ~ c3_1(a514) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f247,plain,
    ( ~ hskp12
    | c2_1(a514) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f249,plain,
    ( ~ hskp13
    | ~ c0_1(a520) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f250,plain,
    ( ~ hskp13
    | ~ c2_1(a520) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f251,plain,
    ( ~ hskp13
    | c3_1(a520) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f256,plain,
    ( hskp15
    | ~ c0_1(a528) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f257,plain,
    ( hskp15
    | c1_1(a528) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f258,plain,
    ( hskp15
    | c3_1(a528) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f263,plain,
    ( hskp17
    | ~ c3_1(a532) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f264,plain,
    ( hskp17
    | ~ c1_1(a532) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f265,plain,
    ( hskp17
    | c2_1(a532) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f267,plain,
    ( ~ hskp18
    | ~ c2_1(a533) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f268,plain,
    ( ~ hskp18
    | c0_1(a533) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f270,plain,
    ( hskp19
    | c1_1(a534) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f271,plain,
    ( hskp19
    | c2_1(a534) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f272,plain,
    ( hskp19
    | c3_1(a534) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f274,plain,
    ( ~ hskp20
    | c0_1(a536) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f275,plain,
    ( ~ hskp20
    | c2_1(a536) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f280,plain,
    ( ~ hskp22
    | ~ c3_1(a540) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f281,plain,
    ( ~ hskp22
    | c0_1(a540) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f287,plain,
    ( ~ hskp24
    | ~ c0_1(a554) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f288,plain,
    ( ~ hskp24
    | c2_1(a554) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f289,plain,
    ( ~ hskp24
    | c3_1(a554) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f295,plain,
    ( ~ hskp26
    | c0_1(a559) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f296,plain,
    ( ~ hskp26
    | c2_1(a559) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f297,plain,
    ( ~ hskp26
    | c3_1(a559) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f299,plain,
    ( hskp27
    | ~ c0_1(a568) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f300,plain,
    ( hskp27
    | ~ c3_1(a568) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f301,plain,
    ( hskp27
    | ~ c1_1(a568) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f303,plain,
    ( hskp28
    | ~ c0_1(a500) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f304,plain,
    ( hskp28
    | ~ c2_1(a500) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f305,plain,
    ( hskp28
    | ~ c3_1(a500) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f315,plain,
    ( ~ hskp31
    | ~ c0_1(a522) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f316,plain,
    ( ~ hskp31
    | ~ c2_1(a522) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f322,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ndr1_0
      | ~ c3_1(X12)
      | c0_1(X12)
      | c2_1(X12)
      | ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f323,plain,
    ! [X14,X13] :
      ( ~ c0_1(X13)
      | c1_1(X13)
      | c2_1(X13)
      | ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f325,plain,
    ! [X18,X16,X17] :
      ( ~ c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ndr1_0
      | ~ c2_1(X18)
      | ~ c1_1(X18)
      | c3_1(X18)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f326,plain,
    ! [X19,X20] :
      ( ~ c0_1(X19)
      | c1_1(X19)
      | c3_1(X19)
      | ndr1_0
      | c1_1(X20)
      | c0_1(X20)
      | c2_1(X20)
      | ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f327,plain,
    ! [X21,X22] :
      ( ~ c0_1(X21)
      | c1_1(X21)
      | c3_1(X21)
      | ndr1_0
      | c1_1(X22)
      | c0_1(X22)
      | c3_1(X22)
      | ndr1_0
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f330,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ndr1_0
      | ~ c1_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f331,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ndr1_0
      | ~ c2_1(X29)
      | c0_1(X29)
      | ~ c1_1(X29)
      | ndr1_0
      | ~ c3_1(X30)
      | c0_1(X30)
      | ~ c1_1(X30)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f332,plain,
    ! [X31,X32] :
      ( ~ c0_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ndr1_0
      | ~ c2_1(X32)
      | c0_1(X32)
      | ~ c1_1(X32)
      | ndr1_0
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f333,plain,
    ! [X33] :
      ( ~ c0_1(X33)
      | ~ c2_1(X33)
      | ~ c3_1(X33)
      | ndr1_0
      | ~ hskp10
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f334,plain,
    ! [X36,X34,X35] :
      ( ~ c0_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ndr1_0
      | ~ c0_1(X35)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ndr1_0
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | c3_1(X36)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f335,plain,
    ! [X38,X37] :
      ( ~ c0_1(X37)
      | ~ c2_1(X37)
      | ~ c1_1(X37)
      | ndr1_0
      | c1_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f337,plain,
    ! [X40] :
      ( ~ c0_1(X40)
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | ndr1_0
      | hskp12
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f339,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | ndr1_0
      | c1_1(X45)
      | c0_1(X45)
      | c3_1(X45)
      | ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f345,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
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f346,plain,
    ! [X56,X54,X55] :
      ( ~ c0_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ndr1_0
      | c1_1(X55)
      | c0_1(X55)
      | c3_1(X55)
      | ndr1_0
      | ~ c3_1(X56)
      | c0_1(X56)
      | ~ c1_1(X56)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f348,plain,
    ! [X59,X60] :
      ( ~ c0_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ndr1_0
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ c1_1(X60)
      | ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f350,plain,
    ! [X62] :
      ( ~ c0_1(X62)
      | c2_1(X62)
      | c3_1(X62)
      | ndr1_0
      | hskp4
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f351,plain,
    ! [X63] :
      ( c1_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ndr1_0
      | hskp18
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f353,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66)
      | ndr1_0
      | c1_1(X67)
      | c0_1(X67)
      | c2_1(X67)
      | ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f354,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68)
      | ndr1_0
      | ~ c3_1(X69)
      | c0_1(X69)
      | ~ c1_1(X69)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f356,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | ~ c2_1(X72)
      | c0_1(X72)
      | ndr1_0
      | c0_1(X73)
      | ~ c1_1(X73)
      | c2_1(X73)
      | ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f357,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | ~ c3_1(X74)
      | c0_1(X74)
      | ndr1_0
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | c0_1(X75)
      | ndr1_0
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f359,plain,
    ! [X78] :
      ( c1_1(X78)
      | ~ c3_1(X78)
      | c0_1(X78)
      | ndr1_0
      | hskp31
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f364,plain,
    ! [X86,X85] :
      ( ~ c2_1(X85)
      | c0_1(X85)
      | ~ c1_1(X85)
      | ndr1_0
      | ~ c2_1(X86)
      | c0_1(X86)
      | c3_1(X86)
      | ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f365,plain,
    ! [X88,X87] :
      ( ~ c2_1(X87)
      | c0_1(X87)
      | ~ c1_1(X87)
      | ndr1_0
      | ~ c1_1(X88)
      | c2_1(X88)
      | c3_1(X88)
      | ndr1_0
      | hskp31 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f366,plain,
    ! [X89] :
      ( ~ c2_1(X89)
      | c0_1(X89)
      | ~ c1_1(X89)
      | ndr1_0
      | ~ hskp5
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f367,plain,
    ! [X90,X91] :
      ( ~ c2_1(X90)
      | c0_1(X90)
      | c3_1(X90)
      | ndr1_0
      | ~ c3_1(X91)
      | c0_1(X91)
      | c2_1(X91)
      | ndr1_0
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f368,plain,
    ! [X92] :
      ( ~ c2_1(X92)
      | c0_1(X92)
      | c3_1(X92)
      | ndr1_0
      | ~ hskp15
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f371,plain,
    ! [X96,X97] :
      ( ~ c3_1(X96)
      | c0_1(X96)
      | ~ c1_1(X96)
      | ndr1_0
      | c0_1(X97)
      | c2_1(X97)
      | c3_1(X97)
      | ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f374,plain,
    ! [X101] :
      ( c0_1(X101)
      | ~ c1_1(X101)
      | c2_1(X101)
      | ndr1_0
      | hskp12
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f378,plain,
    ( ~ hskp15
    | hskp13
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f381,plain,
    ( ~ hskp27
    | ~ hskp10
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f382,plain,
    ( ~ hskp11
    | ~ hskp17
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f384,plain,
    ! [X96,X97] :
      ( ~ c3_1(X96)
      | c0_1(X96)
      | ~ c1_1(X96)
      | ndr1_0
      | c0_1(X97)
      | c2_1(X97)
      | c3_1(X97)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f386,plain,
    ! [X90,X91] :
      ( ~ c2_1(X90)
      | c0_1(X90)
      | c3_1(X90)
      | ndr1_0
      | ~ c3_1(X91)
      | c0_1(X91)
      | c2_1(X91)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f367]) ).

fof(f387,plain,
    ! [X88,X87] :
      ( ~ c2_1(X87)
      | c0_1(X87)
      | ~ c1_1(X87)
      | ndr1_0
      | ~ c1_1(X88)
      | c2_1(X88)
      | c3_1(X88)
      | hskp31 ),
    inference(duplicate_literal_removal,[],[f365]) ).

fof(f388,plain,
    ! [X86,X85] :
      ( ~ c2_1(X85)
      | c0_1(X85)
      | ~ c1_1(X85)
      | ndr1_0
      | ~ c2_1(X86)
      | c0_1(X86)
      | c3_1(X86)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f364]) ).

fof(f392,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | ~ c3_1(X74)
      | c0_1(X74)
      | ndr1_0
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | c0_1(X75)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f357]) ).

fof(f393,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | ~ c2_1(X72)
      | c0_1(X72)
      | ndr1_0
      | c0_1(X73)
      | ~ c1_1(X73)
      | c2_1(X73)
      | ~ hskp3 ),
    inference(duplicate_literal_removal,[],[f356]) ).

fof(f395,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68)
      | ndr1_0
      | ~ c3_1(X69)
      | c0_1(X69)
      | ~ c1_1(X69)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f354]) ).

fof(f396,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66)
      | ndr1_0
      | c1_1(X67)
      | c0_1(X67)
      | c2_1(X67)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f398,plain,
    ! [X59,X60] :
      ( ~ c0_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ndr1_0
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ c1_1(X60)
      | ~ hskp15 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f400,plain,
    ! [X56,X54,X55] :
      ( ~ c0_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ndr1_0
      | c1_1(X55)
      | c0_1(X55)
      | c3_1(X55)
      | ~ c3_1(X56)
      | c0_1(X56)
      | ~ c1_1(X56) ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f401,plain,
    ! [X52,X53] :
      ( ~ c0_1(X52)
      | ~ c1_1(X52)
      | c3_1(X52)
      | ndr1_0
      | c1_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f403,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | ndr1_0
      | c1_1(X45)
      | c0_1(X45)
      | c3_1(X45)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f405,plain,
    ! [X38,X37] :
      ( ~ c0_1(X37)
      | ~ c2_1(X37)
      | ~ c1_1(X37)
      | ndr1_0
      | c1_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f406,plain,
    ! [X36,X34,X35] :
      ( ~ c0_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ndr1_0
      | ~ c0_1(X35)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | c3_1(X36) ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f407,plain,
    ! [X31,X32] :
      ( ~ c0_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ndr1_0
      | ~ c2_1(X32)
      | c0_1(X32)
      | ~ c1_1(X32)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f408,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ndr1_0
      | ~ c2_1(X29)
      | c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X30)
      | c0_1(X30)
      | ~ c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f409,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ c1_1(X27)
      | c2_1(X27)
      | c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f410,plain,
    ! [X21,X22] :
      ( ~ c0_1(X21)
      | c1_1(X21)
      | c3_1(X21)
      | ndr1_0
      | c1_1(X22)
      | c0_1(X22)
      | c3_1(X22)
      | ~ hskp28 ),
    inference(duplicate_literal_removal,[],[f327]) ).

fof(f411,plain,
    ! [X19,X20] :
      ( ~ c0_1(X19)
      | c1_1(X19)
      | c3_1(X19)
      | ndr1_0
      | c1_1(X20)
      | c0_1(X20)
      | c2_1(X20)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f412,plain,
    ! [X18,X16,X17] :
      ( ~ c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c1_1(X17)
      | ~ c2_1(X18)
      | ~ c1_1(X18)
      | c3_1(X18) ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f413,plain,
    ! [X14,X13] :
      ( ~ c0_1(X13)
      | c1_1(X13)
      | c2_1(X13)
      | ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f414,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ndr1_0
      | ~ c3_1(X12)
      | c0_1(X12)
      | c2_1(X12)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f421,definition,
    ( spl0_1
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f425,definition,
    ( spl0_2
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f429,definition,
    ( spl0_3
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f432,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f429,f425,f421]) ).

fof(f434,definition,
    ( spl0_4
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_5
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f442,definition,
    ( spl0_6
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f382,f442,f438,f434]) ).

fof(f447,definition,
    ( spl0_7
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f451,definition,
    ( spl0_8
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f454,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f381,f451,f447,f434]) ).

fof(f460,definition,
    ( spl0_10
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f464,definition,
    ( spl0_11
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f469,definition,
    ( spl0_12
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f477,definition,
    ( spl0_14
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f483,definition,
    ( spl0_15
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_16
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f490,plain,
    ( spl0_15
    | spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f378,f487,f464,f483]) ).

fof(f492,definition,
    ( spl0_17
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f496,definition,
    ( spl0_18
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_19
  <=> ! [X104] :
        ( ~ c1_1(X104)
        | c3_1(X104)
        | c2_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | c3_1(X104)
        | c2_1(X104) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl0_20
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f509,definition,
    ( spl0_21
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f514,definition,
    ( spl0_22
  <=> ! [X101] :
        ( c0_1(X101)
        | c2_1(X101)
        | ~ c1_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X101] :
        ( ~ c1_1(X101)
        | c2_1(X101)
        | c0_1(X101) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f516,plain,
    ( spl0_2
    | spl0_15
    | spl0_18
    | spl0_22 ),
    inference(avatar_split_clause,[],[f374,f514,f496,f483,f425]) ).

fof(f522,definition,
    ( spl0_24
  <=> ! [X100] :
        ( c0_1(X100)
        | c3_1(X100)
        | c2_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f523,plain,
    ( ! [X100] :
        ( c2_1(X100)
        | c3_1(X100)
        | c0_1(X100) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f537,definition,
    ( spl0_28
  <=> ! [X98] :
        ( ~ c3_1(X98)
        | ~ c1_1(X98)
        | c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X98] :
        ( ~ c1_1(X98)
        | ~ c3_1(X98)
        | c0_1(X98) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f540,plain,
    ( spl0_1
    | spl0_24
    | spl0_18
    | spl0_28 ),
    inference(avatar_split_clause,[],[f384,f537,f496,f522,f421]) ).

fof(f542,definition,
    ( spl0_29
  <=> ! [X95] :
        ( ~ c2_1(X95)
        | c3_1(X95)
        | ~ c1_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | c3_1(X95)
        | ~ c2_1(X95) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl0_30
  <=> ! [X94] :
        ( ~ c3_1(X94)
        | c2_1(X94)
        | c0_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X94] :
        ( c2_1(X94)
        | ~ c3_1(X94)
        | c0_1(X94) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f550,definition,
    ( spl0_31
  <=> ! [X92] :
        ( ~ c2_1(X92)
        | c3_1(X92)
        | c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f551,plain,
    ( ! [X92] :
        ( ~ c2_1(X92)
        | c3_1(X92)
        | c0_1(X92) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f552,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | spl0_18
    | spl0_31 ),
    inference(avatar_split_clause,[],[f368,f550,f496,f487,f447]) ).

fof(f554,definition,
    ( spl0_32
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f557,plain,
    ( spl0_32
    | spl0_30
    | spl0_18
    | spl0_31 ),
    inference(avatar_split_clause,[],[f386,f550,f496,f546,f554]) ).

fof(f559,definition,
    ( spl0_33
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f563,definition,
    ( spl0_34
  <=> ! [X89] :
        ( ~ c2_1(X89)
        | ~ c1_1(X89)
        | c0_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | ~ c2_1(X89)
        | c0_1(X89) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( spl0_3
    | ~ spl0_33
    | spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f366,f563,f496,f559,f429]) ).

fof(f567,definition,
    ( spl0_35
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f570,plain,
    ( spl0_35
    | spl0_19
    | spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f387,f563,f496,f500,f567]) ).

fof(f571,plain,
    ( spl0_1
    | spl0_31
    | spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f388,f563,f496,f550,f421]) ).

fof(f581,definition,
    ( spl0_38
  <=> ! [X81] :
        ( c1_1(X81)
        | c3_1(X81)
        | c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | c3_1(X81)
        | c0_1(X81) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f589,definition,
    ( spl0_40
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f593,definition,
    ( spl0_41
  <=> ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | ~ c3_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f594,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | ~ c3_1(X79) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f596,plain,
    ( spl0_3
    | spl0_35
    | spl0_18
    | spl0_41 ),
    inference(avatar_split_clause,[],[f359,f593,f496,f567,f429]) ).

fof(f603,definition,
    ( spl0_43
  <=> ! [X75] :
        ( ~ c2_1(X75)
        | c0_1(X75)
        | ~ c3_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f604,plain,
    ( ! [X75] :
        ( ~ c2_1(X75)
        | c0_1(X75)
        | ~ c3_1(X75) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( spl0_17
    | spl0_43
    | spl0_18
    | spl0_41 ),
    inference(avatar_split_clause,[],[f392,f593,f496,f603,f492]) ).

fof(f607,definition,
    ( spl0_44
  <=> ! [X72] :
        ( c1_1(X72)
        | c0_1(X72)
        | ~ c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f608,plain,
    ( ! [X72] :
        ( c1_1(X72)
        | c0_1(X72)
        | ~ c2_1(X72) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f393,f607,f496,f514,f509]) ).

fof(f612,definition,
    ( spl0_45
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f615,plain,
    ( spl0_45
    | spl0_28
    | spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f395,f607,f496,f537,f612]) ).

fof(f617,definition,
    ( spl0_46
  <=> ! [X67] :
        ( c1_1(X67)
        | c2_1(X67)
        | c0_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f618,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | c2_1(X67)
        | c0_1(X67) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f619,plain,
    ( spl0_12
    | spl0_46
    | spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f396,f607,f496,f617,f469]) ).

fof(f625,definition,
    ( spl0_48
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f629,definition,
    ( spl0_49
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | ~ c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f630,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( ~ spl0_20
    | spl0_48
    | spl0_18
    | spl0_49 ),
    inference(avatar_split_clause,[],[f351,f629,f496,f625,f504]) ).

fof(f633,definition,
    ( spl0_50
  <=> ! [X62] :
        ( ~ c0_1(X62)
        | c3_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f634,plain,
    ( ! [X62] :
        ( c2_1(X62)
        | c3_1(X62)
        | ~ c0_1(X62) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f635,plain,
    ( ~ spl0_5
    | spl0_3
    | spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f350,f633,f496,f429,f438]) ).

fof(f637,plain,
    ( ~ spl0_16
    | spl0_34
    | spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f398,f633,f496,f563,f487]) ).

fof(f640,definition,
    ( spl0_51
  <=> ! [X54] :
        ( ~ c0_1(X54)
        | c3_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f641,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c3_1(X54)
        | ~ c0_1(X54) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f642,plain,
    ( spl0_28
    | spl0_38
    | spl0_18
    | spl0_51 ),
    inference(avatar_split_clause,[],[f400,f640,f496,f581,f537]) ).

fof(f643,plain,
    ( ~ spl0_7
    | spl0_44
    | spl0_18
    | spl0_51 ),
    inference(avatar_split_clause,[],[f401,f640,f496,f607,f447]) ).

fof(f649,definition,
    ( spl0_53
  <=> ! [X51] :
        ( ~ c0_1(X51)
        | c2_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f650,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c2_1(X51)
        | ~ c0_1(X51) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f663,definition,
    ( spl0_56
  <=> ! [X46] :
        ( ~ c0_1(X46)
        | ~ c1_1(X46)
        | ~ c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f664,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | ~ c0_1(X46)
        | ~ c3_1(X46) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl0_2
    | spl0_38
    | spl0_18
    | spl0_56 ),
    inference(avatar_split_clause,[],[f403,f663,f496,f581,f425]) ).

fof(f672,definition,
    ( spl0_58
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | ~ c1_1(X40)
        | ~ c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X40] :
        ( ~ c1_1(X40)
        | ~ c0_1(X40)
        | ~ c2_1(X40) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_2
    | spl0_15
    | spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f337,f672,f496,f483,f425]) ).

fof(f676,plain,
    ( spl0_45
    | spl0_44
    | spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f405,f672,f496,f607,f612]) ).

fof(f677,plain,
    ( spl0_29
    | spl0_53
    | spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f406,f672,f496,f649,f542]) ).

fof(f679,definition,
    ( spl0_59
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | ~ c3_1(X33)
        | ~ c2_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f680,plain,
    ( ! [X33] :
        ( ~ c2_1(X33)
        | ~ c3_1(X33)
        | ~ c0_1(X33) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f333,f679,f496,f447,f442]) ).

fof(f682,plain,
    ( spl0_10
    | spl0_34
    | spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f407,f679,f496,f563,f460]) ).

fof(f683,plain,
    ( spl0_28
    | spl0_34
    | spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f408,f679,f496,f563,f537]) ).

fof(f684,plain,
    ( spl0_19
    | spl0_53
    | spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f409,f679,f496,f649,f500]) ).

fof(f686,definition,
    ( spl0_60
  <=> ! [X24] :
        ( ~ c0_1(X24)
        | c3_1(X24)
        | c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f687,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | c3_1(X24)
        | ~ c0_1(X24) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f690,plain,
    ( ~ spl0_14
    | spl0_38
    | spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f410,f686,f496,f581,f477]) ).

fof(f691,plain,
    ( spl0_40
    | spl0_46
    | spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f411,f686,f496,f617,f589]) ).

fof(f692,plain,
    ( spl0_29
    | spl0_58
    | spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f412,f686,f496,f672,f542]) ).

fof(f694,definition,
    ( spl0_61
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f695,plain,
    ( ! [X15] :
        ( c1_1(X15)
        | c2_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( ~ spl0_33
    | spl0_22
    | spl0_18
    | spl0_61 ),
    inference(avatar_split_clause,[],[f413,f694,f496,f514,f559]) ).

fof(f698,plain,
    ( spl0_3
    | spl0_30
    | spl0_18
    | spl0_61 ),
    inference(avatar_split_clause,[],[f414,f694,f496,f546,f429]) ).

fof(f711,definition,
    ( spl0_64
  <=> c2_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ spl0_64
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f316,f567,f711]) ).

fof(f716,definition,
    ( spl0_65
  <=> c1_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a522)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_65
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f75,f567,f716]) ).

fof(f721,definition,
    ( spl0_66
  <=> c0_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ spl0_66
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f315,f567,f721]) ).

fof(f759,definition,
    ( spl0_73
  <=> c3_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f762,plain,
    ( ~ spl0_73
    | spl0_14 ),
    inference(avatar_split_clause,[],[f305,f477,f759]) ).

fof(f764,definition,
    ( spl0_74
  <=> c2_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c2_1(a500)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_74
    | spl0_14 ),
    inference(avatar_split_clause,[],[f304,f477,f764]) ).

fof(f769,definition,
    ( spl0_75
  <=> c0_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f772,plain,
    ( ~ spl0_75
    | spl0_14 ),
    inference(avatar_split_clause,[],[f303,f477,f769]) ).

fof(f775,definition,
    ( spl0_76
  <=> c1_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ c1_1(a568)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f778,plain,
    ( ~ spl0_76
    | spl0_8 ),
    inference(avatar_split_clause,[],[f301,f451,f775]) ).

fof(f780,definition,
    ( spl0_77
  <=> c3_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f783,plain,
    ( ~ spl0_77
    | spl0_8 ),
    inference(avatar_split_clause,[],[f300,f451,f780]) ).

fof(f785,definition,
    ( spl0_78
  <=> c0_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ spl0_78
    | spl0_8 ),
    inference(avatar_split_clause,[],[f299,f451,f785]) ).

fof(f791,definition,
    ( spl0_79
  <=> c3_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_79
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f297,f434,f791]) ).

fof(f796,definition,
    ( spl0_80
  <=> c2_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f798,plain,
    ( c2_1(a559)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( spl0_80
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f296,f434,f796]) ).

fof(f801,definition,
    ( spl0_81
  <=> c0_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f804,plain,
    ( spl0_81
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f295,f434,f801]) ).

fof(f823,definition,
    ( spl0_85
  <=> c3_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f826,plain,
    ( spl0_85
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f289,f554,f823]) ).

fof(f828,definition,
    ( spl0_86
  <=> c2_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f830,plain,
    ( c2_1(a554)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_86
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f288,f554,f828]) ).

fof(f833,definition,
    ( spl0_87
  <=> c0_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f836,plain,
    ( ~ spl0_87
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f287,f554,f833]) ).

fof(f855,definition,
    ( spl0_91
  <=> c0_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f858,plain,
    ( spl0_91
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f281,f492,f855]) ).

fof(f860,definition,
    ( spl0_92
  <=> c3_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ spl0_92
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f280,f492,f860]) ).

fof(f865,definition,
    ( spl0_93
  <=> c1_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f867,plain,
    ( c1_1(a540)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f868,plain,
    ( spl0_93
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f112,f492,f865]) ).

fof(f887,definition,
    ( spl0_97
  <=> c2_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f889,plain,
    ( c2_1(a536)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl0_97
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f275,f469,f887]) ).

fof(f892,definition,
    ( spl0_98
  <=> c1_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ c1_1(a536)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( ~ spl0_98
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f119,f469,f892]) ).

fof(f897,definition,
    ( spl0_99
  <=> c0_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f900,plain,
    ( spl0_99
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f274,f469,f897]) ).

fof(f903,definition,
    ( spl0_100
  <=> c3_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f906,plain,
    ( spl0_100
    | spl0_20 ),
    inference(avatar_split_clause,[],[f272,f504,f903]) ).

fof(f908,definition,
    ( spl0_101
  <=> c2_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_101
    | spl0_20 ),
    inference(avatar_split_clause,[],[f271,f504,f908]) ).

fof(f913,definition,
    ( spl0_102
  <=> c1_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f915,plain,
    ( c1_1(a534)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( spl0_102
    | spl0_20 ),
    inference(avatar_split_clause,[],[f270,f504,f913]) ).

fof(f919,definition,
    ( spl0_103
  <=> c0_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f922,plain,
    ( spl0_103
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f268,f625,f919]) ).

fof(f924,definition,
    ( spl0_104
  <=> c2_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ c2_1(a533)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( ~ spl0_104
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f267,f625,f924]) ).

fof(f929,definition,
    ( spl0_105
  <=> c1_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f931,plain,
    ( c1_1(a533)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( spl0_105
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f128,f625,f929]) ).

fof(f935,definition,
    ( spl0_106
  <=> c2_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f937,plain,
    ( c2_1(a532)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( spl0_106
    | spl0_5 ),
    inference(avatar_split_clause,[],[f265,f438,f935]) ).

fof(f940,definition,
    ( spl0_107
  <=> c1_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ c1_1(a532)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( ~ spl0_107
    | spl0_5 ),
    inference(avatar_split_clause,[],[f264,f438,f940]) ).

fof(f945,definition,
    ( spl0_108
  <=> c3_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ spl0_108
    | spl0_5 ),
    inference(avatar_split_clause,[],[f263,f438,f945]) ).

fof(f967,definition,
    ( spl0_112
  <=> c3_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f970,plain,
    ( spl0_112
    | spl0_16 ),
    inference(avatar_split_clause,[],[f258,f487,f967]) ).

fof(f972,definition,
    ( spl0_113
  <=> c1_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f974,plain,
    ( c1_1(a528)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f975,plain,
    ( spl0_113
    | spl0_16 ),
    inference(avatar_split_clause,[],[f257,f487,f972]) ).

fof(f977,definition,
    ( spl0_114
  <=> c0_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ spl0_114
    | spl0_16 ),
    inference(avatar_split_clause,[],[f256,f487,f977]) ).

fof(f999,definition,
    ( spl0_118
  <=> c3_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1002,plain,
    ( spl0_118
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f251,f464,f999]) ).

fof(f1004,definition,
    ( spl0_119
  <=> c2_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1006,plain,
    ( ~ c2_1(a520)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1007,plain,
    ( ~ spl0_119
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f250,f464,f1004]) ).

fof(f1009,definition,
    ( spl0_120
  <=> c0_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ c0_1(a520)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( ~ spl0_120
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f249,f464,f1009]) ).

fof(f1015,definition,
    ( spl0_121
  <=> c2_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1017,plain,
    ( c2_1(a514)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( spl0_121
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f247,f483,f1015]) ).

fof(f1020,definition,
    ( spl0_122
  <=> c3_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ spl0_122
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f246,f483,f1020]) ).

fof(f1025,definition,
    ( spl0_123
  <=> c1_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1027,plain,
    ( c1_1(a514)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1028,plain,
    ( spl0_123
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f152,f483,f1025]) ).

fof(f1031,definition,
    ( spl0_124
  <=> c2_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1033,plain,
    ( c2_1(a510)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( spl0_124
    | spl0_6 ),
    inference(avatar_split_clause,[],[f244,f442,f1031]) ).

fof(f1036,definition,
    ( spl0_125
  <=> c1_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1038,plain,
    ( ~ c1_1(a510)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( ~ spl0_125
    | spl0_6 ),
    inference(avatar_split_clause,[],[f243,f442,f1036]) ).

fof(f1041,definition,
    ( spl0_126
  <=> c0_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_126
    | spl0_6 ),
    inference(avatar_split_clause,[],[f242,f442,f1041]) ).

fof(f1047,definition,
    ( spl0_127
  <=> c2_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1049,plain,
    ( c2_1(a509)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1050,plain,
    ( spl0_127
    | spl0_7 ),
    inference(avatar_split_clause,[],[f240,f447,f1047]) ).

fof(f1052,definition,
    ( spl0_128
  <=> c3_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1055,plain,
    ( ~ spl0_128
    | spl0_7 ),
    inference(avatar_split_clause,[],[f239,f447,f1052]) ).

fof(f1057,definition,
    ( spl0_129
  <=> c0_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1060,plain,
    ( ~ spl0_129
    | spl0_7 ),
    inference(avatar_split_clause,[],[f238,f447,f1057]) ).

fof(f1063,definition,
    ( spl0_130
  <=> c1_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1065,plain,
    ( ~ c1_1(a507)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1066,plain,
    ( ~ spl0_130
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f162,f612,f1063]) ).

fof(f1068,definition,
    ( spl0_131
  <=> c0_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1071,plain,
    ( spl0_131
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f236,f612,f1068]) ).

fof(f1073,definition,
    ( spl0_132
  <=> c3_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1076,plain,
    ( ~ spl0_132
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f235,f612,f1073]) ).

fof(f1079,definition,
    ( spl0_133
  <=> c0_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1082,plain,
    ( spl0_133
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f233,f425,f1079]) ).

fof(f1084,definition,
    ( spl0_134
  <=> c3_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1087,plain,
    ( ~ spl0_134
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f232,f425,f1084]) ).

fof(f1089,definition,
    ( spl0_135
  <=> c2_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1091,plain,
    ( ~ c2_1(a505)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1092,plain,
    ( ~ spl0_135
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f231,f425,f1089]) ).

fof(f1093,plain,
    ( ~ spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f230,f425,f496]) ).

fof(f1095,definition,
    ( spl0_136
  <=> c3_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1098,plain,
    ( spl0_136
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f229,f589,f1095]) ).

fof(f1100,definition,
    ( spl0_137
  <=> c1_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1102,plain,
    ( ~ c1_1(a502)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1103,plain,
    ( ~ spl0_137
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f171,f589,f1100]) ).

fof(f1105,definition,
    ( spl0_138
  <=> c0_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1108,plain,
    ( spl0_138
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f228,f589,f1105]) ).

fof(f1111,definition,
    ( spl0_139
  <=> c3_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1114,plain,
    ( spl0_139
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f226,f460,f1111]) ).

fof(f1116,definition,
    ( spl0_140
  <=> c2_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1119,plain,
    ( ~ spl0_140
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f225,f460,f1116]) ).

fof(f1121,definition,
    ( spl0_141
  <=> c1_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1123,plain,
    ( c1_1(a501)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1124,plain,
    ( spl0_141
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f176,f460,f1121]) ).

fof(f1127,definition,
    ( spl0_142
  <=> c1_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1129,plain,
    ( ~ c1_1(a499)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1130,plain,
    ( ~ spl0_142
    | spl0_33 ),
    inference(avatar_split_clause,[],[f223,f559,f1127]) ).

fof(f1132,definition,
    ( spl0_143
  <=> c2_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1134,plain,
    ( ~ c2_1(a499)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1135,plain,
    ( ~ spl0_143
    | spl0_33 ),
    inference(avatar_split_clause,[],[f222,f559,f1132]) ).

fof(f1137,definition,
    ( spl0_144
  <=> c0_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1140,plain,
    ( ~ spl0_144
    | spl0_33 ),
    inference(avatar_split_clause,[],[f221,f559,f1137]) ).

fof(f1143,definition,
    ( spl0_145
  <=> c2_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1145,plain,
    ( c2_1(a498)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1146,plain,
    ( spl0_145
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f219,f429,f1143]) ).

fof(f1148,definition,
    ( spl0_146
  <=> c0_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1151,plain,
    ( spl0_146
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f218,f429,f1148]) ).

fof(f1153,definition,
    ( spl0_147
  <=> c1_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1155,plain,
    ( c1_1(a498)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f1156,plain,
    ( spl0_147
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f184,f429,f1153]) ).

fof(f1157,plain,
    ( ~ spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f217,f429,f496]) ).

fof(f1159,definition,
    ( spl0_148
  <=> c1_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1161,plain,
    ( ~ c1_1(a497)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1162,plain,
    ( ~ spl0_148
    | spl0_21 ),
    inference(avatar_split_clause,[],[f216,f509,f1159]) ).

fof(f1164,definition,
    ( spl0_149
  <=> c0_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1167,plain,
    ( spl0_149
    | spl0_21 ),
    inference(avatar_split_clause,[],[f215,f509,f1164]) ).

fof(f1169,definition,
    ( spl0_150
  <=> c2_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1172,plain,
    ( ~ spl0_150
    | spl0_21 ),
    inference(avatar_split_clause,[],[f214,f509,f1169]) ).

fof(f1175,definition,
    ( spl0_151
  <=> c3_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f212,f421,f1175]) ).

fof(f1180,definition,
    ( spl0_152
  <=> c2_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1182,plain,
    ( c2_1(a496)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1183,plain,
    ( spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f211,f421,f1180]) ).

fof(f1185,definition,
    ( spl0_153
  <=> c1_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1187,plain,
    ( ~ c1_1(a496)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1188,plain,
    ( ~ spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f421,f1185]) ).

fof(f1189,plain,
    ( ~ spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f210,f421,f496]) ).

fof(f1225,definition,
    ( spl0_160
  <=> c2_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1226,plain,
    ( ~ c2_1(a528)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f1250,plain,
    ( c3_1(a500)
    | c0_1(a500)
    | ~ spl0_24
    | spl0_74 ),
    inference(resolution,[],[f523,f766]) ).

fof(f1263,plain,
    ( spl0_75
    | spl0_73
    | ~ spl0_24
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1250,f764,f522,f759,f769]) ).

fof(f1272,definition,
    ( spl0_164
  <=> c3_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1277,definition,
    ( spl0_165
  <=> c0_1(a534) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1282,definition,
    ( spl0_166
  <=> c3_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1287,definition,
    ( spl0_167
  <=> c0_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1298,definition,
    ( spl0_169
  <=> c0_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1303,definition,
    ( spl0_170
  <=> c3_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1309,definition,
    ( spl0_171
  <=> c0_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1314,definition,
    ( spl0_172
  <=> c3_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1319,definition,
    ( spl0_173
  <=> c3_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1329,definition,
    ( spl0_175
  <=> c0_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1334,plain,
    ( ~ c3_1(a528)
    | c0_1(a528)
    | ~ spl0_28
    | ~ spl0_113 ),
    inference(resolution,[],[f538,f974]) ).

fof(f1340,plain,
    ( ~ c3_1(a520)
    | c0_1(a520)
    | ~ spl0_30
    | spl0_119 ),
    inference(resolution,[],[f547,f1006]) ).

fof(f1342,plain,
    ( ~ c3_1(a528)
    | c0_1(a528)
    | ~ spl0_30
    | spl0_160 ),
    inference(resolution,[],[f547,f1226]) ).

fof(f1354,plain,
    ( spl0_114
    | ~ spl0_112
    | ~ spl0_30
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1342,f1225,f546,f967,f977]) ).

fof(f1360,plain,
    ( spl0_120
    | ~ spl0_118
    | ~ spl0_30
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1340,f1004,f546,f999,f1009]) ).

fof(f1369,plain,
    ( c3_1(a514)
    | c0_1(a514)
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(resolution,[],[f551,f1017]) ).

fof(f1380,plain,
    ( spl0_169
    | spl0_122
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1369,f1015,f550,f1020,f1298]) ).

fof(f1386,plain,
    ( ~ c2_1(a528)
    | c0_1(a528)
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f564,f974]) ).

fof(f1419,definition,
    ( spl0_178
  <=> c2_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1420,plain,
    ( ~ c2_1(a568)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f1419]) ).

fof(f1421,plain,
    ( c2_1(a568)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1419]) ).

fof(f1424,definition,
    ( spl0_179
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1435,definition,
    ( spl0_181
  <=> c2_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1437,plain,
    ( c2_1(a502)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1435]) ).

fof(f1447,plain,
    ( c3_1(a568)
    | c0_1(a568)
    | ~ spl0_24
    | spl0_178 ),
    inference(resolution,[],[f1420,f523]) ).

fof(f1448,plain,
    ( spl0_78
    | spl0_77
    | ~ spl0_24
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1447,f1419,f522,f780,f785]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(resolution,[],[f582,f564]) ).

fof(f1483,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1457]) ).

fof(f1492,plain,
    ( spl0_31
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1483,f581,f563,f550]) ).

fof(f1497,plain,
    ( ~ c2_1(a514)
    | c0_1(a514)
    | ~ spl0_34
    | ~ spl0_123 ),
    inference(resolution,[],[f1027,f564]) ).

fof(f1499,plain,
    ( spl0_169
    | ~ spl0_121
    | ~ spl0_34
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1497,f1025,f563,f1015,f1298]) ).

fof(f1522,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_38 ),
    inference(resolution,[],[f543,f582]) ).

fof(f1527,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1522]) ).

fof(f1536,plain,
    ( c3_1(a509)
    | c0_1(a509)
    | ~ spl0_31
    | ~ spl0_127 ),
    inference(resolution,[],[f551,f1049]) ).

fof(f1537,plain,
    ( c3_1(a510)
    | c0_1(a510)
    | ~ spl0_31
    | ~ spl0_124 ),
    inference(resolution,[],[f551,f1033]) ).

fof(f1539,plain,
    ( c3_1(a532)
    | c0_1(a532)
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(resolution,[],[f551,f937]) ).

fof(f1585,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(resolution,[],[f594,f564]) ).

fof(f1588,plain,
    ( c0_1(a496)
    | ~ c3_1(a496)
    | ~ spl0_41
    | spl0_153 ),
    inference(resolution,[],[f594,f1187]) ).

fof(f1607,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1585]) ).

fof(f1622,plain,
    ( spl0_43
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1607,f593,f563,f603]) ).

fof(f1623,plain,
    ( spl0_114
    | ~ spl0_112
    | ~ spl0_28
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1334,f972,f537,f967,f977]) ).

fof(f1648,plain,
    ( c0_1(a554)
    | ~ c3_1(a554)
    | ~ spl0_43
    | ~ spl0_86 ),
    inference(resolution,[],[f604,f830]) ).

fof(f1658,plain,
    ( c3_1(a540)
    | c2_1(a540)
    | ~ spl0_19
    | ~ spl0_93 ),
    inference(resolution,[],[f867,f501]) ).

fof(f1659,plain,
    ( spl0_179
    | spl0_92
    | ~ spl0_19
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1658,f865,f500,f860,f1424]) ).

fof(f1661,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(resolution,[],[f608,f538]) ).

fof(f1662,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(resolution,[],[f608,f564]) ).

fof(f1682,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1662]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1661]) ).

fof(f1690,plain,
    ( ~ c3_1(a496)
    | ~ c2_1(a496)
    | ~ spl0_49
    | spl0_153 ),
    inference(resolution,[],[f630,f1187]) ).

fof(f1715,plain,
    ( c3_1(a533)
    | c2_1(a533)
    | ~ spl0_19
    | ~ spl0_105 ),
    inference(resolution,[],[f931,f501]) ).

fof(f1716,plain,
    ( spl0_104
    | spl0_166
    | ~ spl0_19
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1715,f929,f500,f1282,f924]) ).

fof(f1722,plain,
    ( c3_1(a505)
    | ~ c0_1(a505)
    | ~ spl0_50
    | spl0_135 ),
    inference(resolution,[],[f634,f1091]) ).

fof(f1745,plain,
    ( c3_1(a540)
    | ~ c0_1(a540)
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(resolution,[],[f641,f867]) ).

fof(f1754,plain,
    ( spl0_43
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1683,f607,f537,f603]) ).

fof(f1760,plain,
    ( ~ spl0_85
    | spl0_87
    | ~ spl0_43
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1648,f828,f603,f833,f823]) ).

fof(f1777,plain,
    ( ~ spl0_91
    | spl0_92
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1745,f865,f640,f860,f855]) ).

fof(f1781,plain,
    ( ~ spl0_151
    | spl0_175
    | ~ spl0_41
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1588,f1185,f593,f1329,f1175]) ).

fof(f1798,plain,
    ( c3_1(a499)
    | c0_1(a499)
    | ~ spl0_38
    | spl0_142 ),
    inference(resolution,[],[f1129,f582]) ).

fof(f1834,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_41 ),
    inference(resolution,[],[f594,f515]) ).

fof(f1851,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1834]) ).

fof(f1852,plain,
    ( spl0_30
    | ~ spl0_22
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1851,f593,f514,f546]) ).

fof(f1860,plain,
    ( c0_1(a510)
    | ~ c3_1(a510)
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(resolution,[],[f604,f1033]) ).

fof(f1879,plain,
    ( c0_1(a496)
    | ~ c2_1(a496)
    | ~ spl0_44
    | spl0_153 ),
    inference(resolution,[],[f608,f1187]) ).

fof(f1883,plain,
    ( c0_1(a510)
    | ~ c2_1(a510)
    | ~ spl0_44
    | spl0_125 ),
    inference(resolution,[],[f608,f1038]) ).

fof(f1887,plain,
    ( c0_1(a532)
    | ~ c2_1(a532)
    | ~ spl0_44
    | spl0_107 ),
    inference(resolution,[],[f608,f942]) ).

fof(f1903,plain,
    ( c3_1(a533)
    | ~ c0_1(a533)
    | ~ spl0_50
    | spl0_104 ),
    inference(resolution,[],[f634,f926]) ).

fof(f1916,plain,
    ( c3_1(a514)
    | ~ c0_1(a514)
    | ~ spl0_51
    | ~ spl0_123 ),
    inference(resolution,[],[f641,f1027]) ).

fof(f1923,plain,
    ( ~ spl0_169
    | spl0_122
    | ~ spl0_51
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1916,f1025,f640,f1020,f1298]) ).

fof(f1929,plain,
    ( c2_1(a501)
    | ~ c0_1(a501)
    | ~ spl0_53
    | ~ spl0_141 ),
    inference(resolution,[],[f650,f1123]) ).

fof(f1938,plain,
    ( ~ spl0_171
    | spl0_140
    | ~ spl0_53
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1929,f1121,f649,f1116,f1309]) ).

fof(f2024,plain,
    ( c3_1(a568)
    | c0_1(a568)
    | ~ spl0_31
    | ~ spl0_178 ),
    inference(resolution,[],[f1421,f551]) ).

fof(f2026,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_41 ),
    inference(resolution,[],[f538,f594]) ).

fof(f2031,plain,
    ( ~ c3_1(a501)
    | c0_1(a501)
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(resolution,[],[f538,f1123]) ).

fof(f2035,plain,
    ( ~ c3_1(a534)
    | c0_1(a534)
    | ~ spl0_28
    | ~ spl0_102 ),
    inference(resolution,[],[f538,f915]) ).

fof(f2041,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f2026]) ).

fof(f2046,plain,
    ( spl0_171
    | ~ spl0_139
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2031,f1121,f537,f1111,f1309]) ).

fof(f2067,plain,
    ( ~ c3_1(a520)
    | ~ spl0_28
    | ~ spl0_41
    | spl0_120 ),
    inference(resolution,[],[f2041,f1011]) ).

fof(f2072,plain,
    ( ~ spl0_118
    | ~ spl0_28
    | ~ spl0_41
    | spl0_120 ),
    inference(avatar_split_clause,[],[f2067,f1009,f593,f537,f999]) ).

fof(f2102,plain,
    ( c0_1(a509)
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(resolution,[],[f1682,f1049]) ).

fof(f2126,plain,
    ( spl0_129
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2102,f1047,f607,f563,f1057]) ).

fof(f2128,plain,
    ( spl0_114
    | ~ spl0_160
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1386,f972,f563,f1225,f977]) ).

fof(f2142,plain,
    ( c2_1(a522)
    | c0_1(a522)
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(resolution,[],[f515,f718]) ).

fof(f2176,plain,
    ( c0_1(a496)
    | ~ c3_1(a496)
    | ~ spl0_43
    | ~ spl0_152 ),
    inference(resolution,[],[f604,f1182]) ).

fof(f2204,plain,
    ( ~ c0_1(a533)
    | ~ c3_1(a533)
    | ~ spl0_56
    | ~ spl0_105 ),
    inference(resolution,[],[f664,f931]) ).

fof(f2220,plain,
    ( ~ c0_1(a498)
    | ~ c2_1(a498)
    | ~ spl0_58
    | ~ spl0_147 ),
    inference(resolution,[],[f673,f1155]) ).

fof(f2221,plain,
    ( ~ c0_1(a514)
    | ~ c2_1(a514)
    | ~ spl0_58
    | ~ spl0_123 ),
    inference(resolution,[],[f673,f1027]) ).

fof(f2223,plain,
    ( ~ c0_1(a534)
    | ~ c2_1(a534)
    | ~ spl0_58
    | ~ spl0_102 ),
    inference(resolution,[],[f673,f915]) ).

fof(f2224,plain,
    ( ~ c0_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_58
    | ~ spl0_93 ),
    inference(resolution,[],[f673,f867]) ).

fof(f2231,plain,
    ( ~ spl0_179
    | ~ spl0_91
    | ~ spl0_58
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2224,f865,f672,f855,f1424]) ).

fof(f2234,plain,
    ( ~ spl0_121
    | ~ spl0_169
    | ~ spl0_58
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2221,f1025,f672,f1298,f1015]) ).

fof(f2235,plain,
    ( ~ spl0_145
    | ~ spl0_146
    | ~ spl0_58
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2220,f1153,f672,f1148,f1143]) ).

fof(f2239,plain,
    ( c3_1(a498)
    | ~ c2_1(a498)
    | ~ spl0_29
    | ~ spl0_147 ),
    inference(resolution,[],[f543,f1155]) ).

fof(f2240,plain,
    ( c3_1(a514)
    | ~ c2_1(a514)
    | ~ spl0_29
    | ~ spl0_123 ),
    inference(resolution,[],[f543,f1027]) ).

fof(f2243,plain,
    ( c3_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(resolution,[],[f543,f867]) ).

fof(f2249,plain,
    ( ~ spl0_121
    | spl0_122
    | ~ spl0_29
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2240,f1025,f542,f1020,f1015]) ).

fof(f2258,plain,
    ( c2_1(a540)
    | ~ c0_1(a540)
    | ~ spl0_53
    | ~ spl0_93 ),
    inference(resolution,[],[f650,f867]) ).

fof(f2264,plain,
    ( ~ c3_1(a496)
    | ~ c0_1(a496)
    | ~ spl0_59
    | ~ spl0_152 ),
    inference(resolution,[],[f680,f1182]) ).

fof(f2268,plain,
    ( ~ c3_1(a502)
    | ~ c0_1(a502)
    | ~ spl0_59
    | ~ spl0_181 ),
    inference(resolution,[],[f680,f1437]) ).

fof(f2284,plain,
    ( ~ c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_59
    | ~ spl0_80 ),
    inference(resolution,[],[f680,f798]) ).

fof(f2297,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(resolution,[],[f687,f650]) ).

fof(f2306,plain,
    ( c3_1(a507)
    | ~ c0_1(a507)
    | ~ spl0_60
    | spl0_130 ),
    inference(resolution,[],[f687,f1065]) ).

fof(f2311,plain,
    ( c3_1(a532)
    | ~ c0_1(a532)
    | ~ spl0_60
    | spl0_107 ),
    inference(resolution,[],[f687,f942]) ).

fof(f2312,plain,
    ( c3_1(a536)
    | ~ c0_1(a536)
    | ~ spl0_60
    | spl0_98 ),
    inference(resolution,[],[f687,f894]) ).

fof(f2315,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f2297]) ).

fof(f2317,plain,
    ( ~ spl0_99
    | spl0_164
    | ~ spl0_60
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2312,f892,f686,f1272,f897]) ).

fof(f2318,plain,
    ( ~ spl0_167
    | spl0_108
    | ~ spl0_60
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2311,f940,f686,f945,f1287]) ).

fof(f2321,plain,
    ( ~ spl0_131
    | spl0_132
    | ~ spl0_60
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2306,f1063,f686,f1073,f1068]) ).

fof(f2324,plain,
    ( spl0_50
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2315,f686,f649,f633]) ).

fof(f2327,plain,
    ( spl0_126
    | spl0_170
    | ~ spl0_31
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1537,f1031,f550,f1303,f1041]) ).

fof(f2330,plain,
    ( spl0_78
    | spl0_77
    | ~ spl0_31
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2024,f1419,f550,f780,f785]) ).

fof(f2334,plain,
    ( ~ spl0_124
    | spl0_126
    | ~ spl0_44
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1883,f1036,f607,f1041,f1031]) ).

fof(f2336,plain,
    ( ~ spl0_106
    | spl0_167
    | ~ spl0_44
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1887,f940,f607,f1287,f935]) ).

fof(f2343,plain,
    ( ~ spl0_133
    | spl0_134
    | ~ spl0_50
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1722,f1089,f633,f1084,f1079]) ).

fof(f2357,plain,
    ( ~ spl0_138
    | ~ spl0_136
    | ~ spl0_59
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2268,f1435,f679,f1095,f1105]) ).

fof(f2363,plain,
    ( ~ spl0_81
    | ~ spl0_79
    | ~ spl0_59
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2284,f796,f679,f791,f801]) ).

fof(f2370,plain,
    ( spl0_66
    | spl0_64
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2142,f716,f514,f711,f721]) ).

fof(f2382,plain,
    ( ~ spl0_101
    | ~ spl0_165
    | ~ spl0_58
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2223,f913,f672,f1277,f908]) ).

fof(f2384,plain,
    ( ~ spl0_103
    | spl0_166
    | ~ spl0_50
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1903,f924,f633,f1282,f919]) ).

fof(f2386,plain,
    ( spl0_167
    | spl0_108
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1539,f935,f550,f945,f1287]) ).

fof(f2390,plain,
    ( ~ spl0_166
    | ~ spl0_103
    | ~ spl0_56
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2204,f929,f663,f919,f1282]) ).

fof(f2396,plain,
    ( ~ spl0_151
    | spl0_175
    | ~ spl0_43
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2176,f1180,f603,f1329,f1175]) ).

fof(f2398,plain,
    ( ~ spl0_170
    | spl0_126
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1860,f1031,f603,f1041,f1303]) ).

fof(f2404,plain,
    ( ~ spl0_152
    | ~ spl0_151
    | ~ spl0_49
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1690,f1185,f629,f1175,f1180]) ).

fof(f2437,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(resolution,[],[f618,f538]) ).

fof(f2441,plain,
    ( c2_1(a499)
    | c0_1(a499)
    | ~ spl0_46
    | spl0_142 ),
    inference(resolution,[],[f618,f1129]) ).

fof(f2456,plain,
    ( c2_1(a568)
    | c0_1(a568)
    | ~ spl0_46
    | spl0_76 ),
    inference(resolution,[],[f618,f777]) ).

fof(f2458,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f2437]) ).

fof(f2461,plain,
    ( spl0_78
    | spl0_178
    | ~ spl0_46
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2456,f775,f617,f1419,f785]) ).

fof(f2468,plain,
    ( spl0_144
    | spl0_143
    | ~ spl0_46
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2441,f1127,f617,f1132,f1137]) ).

fof(f2470,plain,
    ( spl0_30
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2458,f617,f537,f546]) ).

fof(f2515,plain,
    ( ~ c3_1(a498)
    | ~ c0_1(a498)
    | ~ spl0_59
    | ~ spl0_145 ),
    inference(resolution,[],[f680,f1145]) ).

fof(f2519,plain,
    ( ~ c3_1(a536)
    | ~ c0_1(a536)
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(resolution,[],[f680,f889]) ).

fof(f2525,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_51
    | ~ spl0_61 ),
    inference(resolution,[],[f695,f641]) ).

fof(f2530,plain,
    ( c2_1(a497)
    | ~ c0_1(a497)
    | ~ spl0_61
    | spl0_148 ),
    inference(resolution,[],[f695,f1161]) ).

fof(f2533,plain,
    ( c2_1(a502)
    | ~ c0_1(a502)
    | ~ spl0_61
    | spl0_137 ),
    inference(resolution,[],[f695,f1102]) ).

fof(f2549,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_51
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2525]) ).

fof(f2554,plain,
    ( ~ spl0_138
    | spl0_181
    | ~ spl0_61
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2533,f1100,f694,f1435,f1105]) ).

fof(f2555,plain,
    ( ~ spl0_149
    | spl0_150
    | ~ spl0_61
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2530,f1159,f694,f1169,f1164]) ).

fof(f2556,plain,
    ( spl0_50
    | ~ spl0_51
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2549,f694,f640,f633]) ).

fof(f2560,plain,
    ( ~ spl0_145
    | spl0_173
    | ~ spl0_29
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2239,f1153,f542,f1319,f1143]) ).

fof(f2566,plain,
    ( ~ spl0_91
    | spl0_179
    | ~ spl0_53
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2258,f865,f649,f1424,f855]) ).

fof(f2567,plain,
    ( ~ spl0_179
    | spl0_92
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2243,f865,f542,f860,f1424]) ).

fof(f2568,plain,
    ( spl0_165
    | ~ spl0_100
    | ~ spl0_28
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2035,f913,f537,f903,f1277]) ).

fof(f2572,plain,
    ( spl0_129
    | spl0_128
    | ~ spl0_31
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1536,f1047,f550,f1052,f1057]) ).

fof(f2579,plain,
    ( spl0_144
    | spl0_172
    | ~ spl0_38
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1798,f1127,f581,f1314,f1137]) ).

fof(f2581,plain,
    ( ~ spl0_152
    | spl0_175
    | ~ spl0_44
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1879,f1185,f607,f1329,f1180]) ).

fof(f2582,plain,
    ( ~ spl0_175
    | ~ spl0_151
    | ~ spl0_59
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2264,f1180,f679,f1175,f1329]) ).

fof(f2589,plain,
    ( ~ spl0_146
    | ~ spl0_173
    | ~ spl0_59
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2515,f1143,f679,f1319,f1148]) ).

fof(f2591,plain,
    ( ~ spl0_99
    | ~ spl0_164
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2519,f887,f679,f1272,f897]) ).

fof(f2594,plain,
    ( spl0_31
    | ~ spl0_29
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1527,f581,f542,f550]) ).

fof(f2597,plain,
    ( ~ c3_1(a499)
    | c0_1(a499)
    | ~ spl0_30
    | spl0_143 ),
    inference(resolution,[],[f547,f1134]) ).

fof(f2613,plain,
    ( spl0_144
    | ~ spl0_172
    | ~ spl0_30
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2597,f1132,f546,f1314,f1137]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s2,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s3,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s7,plain,
    ( spl0_11
    | spl0_15
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s11,plain,
    ( spl0_2
    | spl0_15
    | spl0_18
    | spl0_22 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s14,plain,
    ( spl0_1
    | spl0_18
    | spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s17,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | spl0_18
    | spl0_31 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s18,plain,
    ( spl0_18
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_18
    | ~ spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s20,plain,
    ( spl0_18
    | spl0_19
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s21,plain,
    ( spl0_1
    | spl0_18
    | spl0_31
    | spl0_34 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_18
    | spl0_35
    | spl0_41 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s28,plain,
    ( spl0_17
    | spl0_18
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s29,plain,
    ( spl0_18
    | ~ spl0_21
    | spl0_22
    | spl0_44 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s31,plain,
    ( spl0_18
    | spl0_28
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s32,plain,
    ( spl0_12
    | spl0_18
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s34,plain,
    ( spl0_18
    | ~ spl0_20
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s35,plain,
    ( spl0_3
    | ~ spl0_5
    | spl0_18
    | spl0_50 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s37,plain,
    ( ~ spl0_16
    | spl0_18
    | spl0_34
    | spl0_50 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s39,plain,
    ( spl0_18
    | spl0_28
    | spl0_38
    | spl0_51 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s40,plain,
    ( ~ spl0_7
    | spl0_18
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s46,plain,
    ( spl0_2
    | spl0_18
    | spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s48,plain,
    ( spl0_2
    | spl0_15
    | spl0_18
    | spl0_58 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s50,plain,
    ( spl0_18
    | spl0_44
    | spl0_45
    | spl0_58 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s51,plain,
    ( spl0_18
    | spl0_29
    | spl0_53
    | spl0_58 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s52,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_18
    | spl0_59 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s53,plain,
    ( spl0_10
    | spl0_18
    | spl0_34
    | spl0_59 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s54,plain,
    ( spl0_18
    | spl0_28
    | spl0_34
    | spl0_59 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s55,plain,
    ( spl0_18
    | spl0_19
    | spl0_53
    | spl0_59 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s58,plain,
    ( ~ spl0_14
    | spl0_18
    | spl0_38
    | spl0_60 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s59,plain,
    ( spl0_18
    | spl0_40
    | spl0_46
    | spl0_60 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s60,plain,
    ( spl0_18
    | spl0_29
    | spl0_58
    | spl0_60 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s62,plain,
    ( spl0_18
    | spl0_22
    | ~ spl0_33
    | spl0_61 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s63,plain,
    ( spl0_3
    | spl0_18
    | spl0_30
    | spl0_61 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s69,plain,
    ( ~ spl0_35
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s70,plain,
    ( ~ spl0_35
    | spl0_65 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s71,plain,
    ( ~ spl0_35
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s81,plain,
    ( spl0_14
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s82,plain,
    ( spl0_14
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s83,plain,
    ( spl0_14
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s85,plain,
    ( spl0_8
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s86,plain,
    ( spl0_8
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s87,plain,
    ( spl0_8
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s89,plain,
    ( ~ spl0_4
    | spl0_79 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s90,plain,
    ( ~ spl0_4
    | spl0_80 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s91,plain,
    ( ~ spl0_4
    | spl0_81 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s97,plain,
    ( ~ spl0_32
    | spl0_85 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s98,plain,
    ( ~ spl0_32
    | spl0_86 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s99,plain,
    ( ~ spl0_32
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s105,plain,
    ( ~ spl0_17
    | spl0_91 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s106,plain,
    ( ~ spl0_17
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s107,plain,
    ( ~ spl0_17
    | spl0_93 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s113,plain,
    ( ~ spl0_12
    | spl0_97 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s114,plain,
    ( ~ spl0_12
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s115,plain,
    ( ~ spl0_12
    | spl0_99 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s117,plain,
    ( spl0_20
    | spl0_100 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s118,plain,
    ( spl0_20
    | spl0_101 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s119,plain,
    ( spl0_20
    | spl0_102 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s121,plain,
    ( ~ spl0_48
    | spl0_103 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s122,plain,
    ( ~ spl0_48
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s123,plain,
    ( ~ spl0_48
    | spl0_105 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s125,plain,
    ( spl0_5
    | spl0_106 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s126,plain,
    ( spl0_5
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s127,plain,
    ( spl0_5
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s133,plain,
    ( spl0_16
    | spl0_112 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s134,plain,
    ( spl0_16
    | spl0_113 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s135,plain,
    ( spl0_16
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s141,plain,
    ( ~ spl0_11
    | spl0_118 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s142,plain,
    ( ~ spl0_11
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s143,plain,
    ( ~ spl0_11
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s145,plain,
    ( ~ spl0_15
    | spl0_121 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s146,plain,
    ( ~ spl0_15
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s147,plain,
    ( ~ spl0_15
    | spl0_123 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s149,plain,
    ( spl0_6
    | spl0_124 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s150,plain,
    ( spl0_6
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s151,plain,
    ( spl0_6
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s153,plain,
    ( spl0_7
    | spl0_127 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s154,plain,
    ( spl0_7
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s155,plain,
    ( spl0_7
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s157,plain,
    ( ~ spl0_45
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s158,plain,
    ( ~ spl0_45
    | spl0_131 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s159,plain,
    ( ~ spl0_45
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s161,plain,
    ( ~ spl0_2
    | spl0_133 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s162,plain,
    ( ~ spl0_2
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s163,plain,
    ( ~ spl0_2
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s164,plain,
    ( ~ spl0_2
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s165,plain,
    ( ~ spl0_40
    | spl0_136 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s166,plain,
    ( ~ spl0_40
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s167,plain,
    ( ~ spl0_40
    | spl0_138 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s169,plain,
    ( ~ spl0_10
    | spl0_139 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s170,plain,
    ( ~ spl0_10
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s171,plain,
    ( ~ spl0_10
    | spl0_141 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s173,plain,
    ( spl0_33
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s174,plain,
    ( spl0_33
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s175,plain,
    ( spl0_33
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s177,plain,
    ( ~ spl0_3
    | spl0_145 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s178,plain,
    ( ~ spl0_3
    | spl0_146 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s179,plain,
    ( ~ spl0_3
    | spl0_147 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s180,plain,
    ( ~ spl0_3
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s181,plain,
    ( spl0_21
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s182,plain,
    ( spl0_21
    | spl0_149 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s183,plain,
    ( spl0_21
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s185,plain,
    ( ~ spl0_1
    | spl0_151 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s186,plain,
    ( ~ spl0_1
    | spl0_152 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s187,plain,
    ( ~ spl0_1
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s188,plain,
    ( ~ spl0_1
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s200,plain,
    ( ~ spl0_24
    | spl0_73
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s224,plain,
    ( ~ spl0_30
    | ~ spl0_112
    | spl0_114
    | spl0_160 ),
    inference(sat_conversion,[],[f1354]) ).

cnf(s226,plain,
    ( ~ spl0_30
    | ~ spl0_118
    | spl0_119
    | spl0_120 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s233,plain,
    ( ~ spl0_31
    | ~ spl0_121
    | spl0_122
    | spl0_169 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s248,plain,
    ( ~ spl0_24
    | spl0_77
    | spl0_78
    | spl0_178 ),
    inference(sat_conversion,[],[f1448]) ).

cnf(s261,plain,
    ( spl0_31
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s262,plain,
    ( ~ spl0_34
    | ~ spl0_121
    | ~ spl0_123
    | spl0_169 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s291,plain,
    ( ~ spl0_34
    | ~ spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s292,plain,
    ( ~ spl0_28
    | ~ spl0_112
    | ~ spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s299,plain,
    ( ~ spl0_19
    | spl0_92
    | ~ spl0_93
    | spl0_179 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s306,plain,
    ( ~ spl0_19
    | spl0_104
    | ~ spl0_105
    | spl0_166 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s316,plain,
    ( ~ spl0_28
    | spl0_43
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s322,plain,
    ( ~ spl0_43
    | ~ spl0_85
    | ~ spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f1760]) ).

cnf(s327,plain,
    ( ~ spl0_51
    | ~ spl0_91
    | spl0_92
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s331,plain,
    ( ~ spl0_41
    | ~ spl0_151
    | spl0_153
    | spl0_175 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s346,plain,
    ( ~ spl0_22
    | spl0_30
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s351,plain,
    ( ~ spl0_51
    | spl0_122
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1923]) ).

cnf(s354,plain,
    ( ~ spl0_53
    | spl0_140
    | ~ spl0_141
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s400,plain,
    ( ~ spl0_28
    | ~ spl0_139
    | ~ spl0_141
    | spl0_171 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s409,plain,
    ( ~ spl0_28
    | ~ spl0_41
    | ~ spl0_118
    | spl0_120 ),
    inference(sat_conversion,[],[f2072]) ).

cnf(s419,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | ~ spl0_127
    | spl0_129 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s421,plain,
    ( ~ spl0_34
    | ~ spl0_113
    | spl0_114
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s435,plain,
    ( ~ spl0_58
    | ~ spl0_91
    | ~ spl0_93
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s438,plain,
    ( ~ spl0_58
    | ~ spl0_121
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2234]) ).

cnf(s439,plain,
    ( ~ spl0_58
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s442,plain,
    ( ~ spl0_29
    | ~ spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s455,plain,
    ( ~ spl0_60
    | spl0_98
    | ~ spl0_99
    | spl0_164 ),
    inference(sat_conversion,[],[f2317]) ).

cnf(s456,plain,
    ( ~ spl0_60
    | spl0_107
    | spl0_108
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2318]) ).

cnf(s459,plain,
    ( ~ spl0_60
    | spl0_130
    | ~ spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s462,plain,
    ( spl0_50
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f2324]) ).

cnf(s465,plain,
    ( ~ spl0_31
    | ~ spl0_124
    | spl0_126
    | spl0_170 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s468,plain,
    ( ~ spl0_31
    | spl0_77
    | spl0_78
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2330]) ).

cnf(s472,plain,
    ( ~ spl0_44
    | ~ spl0_124
    | spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f2334]) ).

cnf(s474,plain,
    ( ~ spl0_44
    | ~ spl0_106
    | spl0_107
    | spl0_167 ),
    inference(sat_conversion,[],[f2336]) ).

cnf(s481,plain,
    ( ~ spl0_50
    | ~ spl0_133
    | spl0_134
    | spl0_135 ),
    inference(sat_conversion,[],[f2343]) ).

cnf(s495,plain,
    ( ~ spl0_59
    | ~ spl0_136
    | ~ spl0_138
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s501,plain,
    ( ~ spl0_59
    | ~ spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f2363]) ).

cnf(s508,plain,
    ( ~ spl0_22
    | spl0_64
    | ~ spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s520,plain,
    ( ~ spl0_58
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2382]) ).

cnf(s522,plain,
    ( ~ spl0_50
    | ~ spl0_103
    | spl0_104
    | spl0_166 ),
    inference(sat_conversion,[],[f2384]) ).

cnf(s524,plain,
    ( ~ spl0_31
    | ~ spl0_106
    | spl0_108
    | spl0_167 ),
    inference(sat_conversion,[],[f2386]) ).

cnf(s528,plain,
    ( ~ spl0_56
    | ~ spl0_103
    | ~ spl0_105
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2390]) ).

cnf(s534,plain,
    ( ~ spl0_43
    | ~ spl0_151
    | ~ spl0_152
    | spl0_175 ),
    inference(sat_conversion,[],[f2396]) ).

cnf(s536,plain,
    ( ~ spl0_43
    | ~ spl0_124
    | spl0_126
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2398]) ).

cnf(s542,plain,
    ( ~ spl0_49
    | ~ spl0_151
    | ~ spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f2404]) ).

cnf(s553,plain,
    ( ~ spl0_46
    | spl0_76
    | spl0_78
    | spl0_178 ),
    inference(sat_conversion,[],[f2461]) ).

cnf(s560,plain,
    ( ~ spl0_46
    | spl0_142
    | spl0_143
    | spl0_144 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s562,plain,
    ( ~ spl0_28
    | spl0_30
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2470]) ).

cnf(s565,plain,
    ( ~ spl0_61
    | spl0_137
    | ~ spl0_138
    | spl0_181 ),
    inference(sat_conversion,[],[f2554]) ).

cnf(s566,plain,
    ( ~ spl0_61
    | spl0_148
    | ~ spl0_149
    | spl0_150 ),
    inference(sat_conversion,[],[f2555]) ).

cnf(s567,plain,
    ( spl0_50
    | ~ spl0_51
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f2556]) ).

cnf(s571,plain,
    ( ~ spl0_29
    | ~ spl0_145
    | ~ spl0_147
    | spl0_173 ),
    inference(sat_conversion,[],[f2560]) ).

cnf(s577,plain,
    ( ~ spl0_53
    | ~ spl0_91
    | ~ spl0_93
    | spl0_179 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s578,plain,
    ( ~ spl0_29
    | spl0_92
    | ~ spl0_93
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2567]) ).

cnf(s579,plain,
    ( ~ spl0_28
    | ~ spl0_100
    | ~ spl0_102
    | spl0_165 ),
    inference(sat_conversion,[],[f2568]) ).

cnf(s583,plain,
    ( ~ spl0_31
    | ~ spl0_127
    | spl0_128
    | spl0_129 ),
    inference(sat_conversion,[],[f2572]) ).

cnf(s590,plain,
    ( ~ spl0_38
    | spl0_142
    | spl0_144
    | spl0_172 ),
    inference(sat_conversion,[],[f2579]) ).

cnf(s592,plain,
    ( ~ spl0_44
    | ~ spl0_152
    | spl0_153
    | spl0_175 ),
    inference(sat_conversion,[],[f2581]) ).

cnf(s593,plain,
    ( ~ spl0_59
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2582]) ).

cnf(s600,plain,
    ( ~ spl0_59
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2589]) ).

cnf(s602,plain,
    ( ~ spl0_59
    | ~ spl0_97
    | ~ spl0_99
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2591]) ).

cnf(s605,plain,
    ( ~ spl0_29
    | spl0_31
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s607,plain,
    ( ~ spl0_30
    | spl0_143
    | spl0_144
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2613]) ).

cnf(s608,plain,
    ( ~ spl0_45
    | ~ spl0_60 ),
    inference(rat,[],[s459,s157,s158,s159]) ).

cnf(s609,plain,
    ( spl0_6
    | ~ spl0_44 ),
    inference(rat,[],[s472,s149,s150,s151]) ).

cnf(s610,plain,
    ( spl0_5
    | ~ spl0_44
    | ~ spl0_60 ),
    inference(rat,[],[s474,s456,s125,s126,s127]) ).

cnf(s611,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s21,s419,s583,s153,s154,s155,s52,s501,s89,s90,s91,s2,s610,s609,s50,s608,s60,s442,s145,s146,s147,s48,s439,s177,s178,s179,s180,s1]) ).

cnf(s612,plain,
    ( spl0_7
    | ~ spl0_44
    | spl0_1 ),
    inference(rat,[],[s21,s419,s583,s153,s154,s155,s164,s611]) ).

cnf(s613,plain,
    ( spl0_29
    | spl0_58
    | ~ spl0_2 ),
    inference(rat,[],[s462,s60,s51,s164,s481,s161,s162,s163]) ).

cnf(s614,plain,
    ( ~ spl0_44
    | spl0_59
    | spl0_1 ),
    inference(rat,[],[s52,s612,s609,s164,s611]) ).

cnf(s615,plain,
    ( spl0_16
    | ~ spl0_28 ),
    inference(rat,[],[s292,s133,s134,s135]) ).

cnf(s616,plain,
    ( ~ spl0_17
    | spl0_59
    | ~ spl0_29
    | spl0_18 ),
    inference(rat,[],[s55,s577,s299,s578,s105,s106,s107]) ).

cnf(s617,plain,
    ( spl0_31
    | spl0_15
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s322,s97,s98,s99,s28,s18,s409,s226,s141,s142,s143,s7,s615,s14,s200,s81,s82,s83,s58,s605,s608,s50,s614,s616,s600,s571,s613,s439,s177,s178,s179,s164,s611]) ).

cnf(s618,plain,
    ( spl0_34
    | spl0_59
    | ~ spl0_2 ),
    inference(rat,[],[s615,s37,s54,s164,s481,s161,s162,s163]) ).

cnf(s619,plain,
    ( spl0_43
    | ~ spl0_34
    | spl0_17
    | spl0_18 ),
    inference(rat,[],[s291,s28]) ).

cnf(s620,plain,
    ( ~ spl0_15
    | ~ spl0_29 ),
    inference(rat,[],[s442,s145,s146,s147]) ).

cnf(s621,plain,
    ( spl0_6
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(rat,[],[s465,s536,s149,s151]) ).

cnf(s622,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s583,s153,s154,s155,s52,s621,s617,s620,s619,s618,s616,s600,s571,s613,s439,s177,s178,s179,s164,s611]) ).

cnf(s624,plain,
    ( ~ spl0_32
    | ~ spl0_43 ),
    inference(rat,[],[s322,s97,s98,s99]) ).

cnf(s625,plain,
    ( ~ spl0_11
    | ~ spl0_30 ),
    inference(rat,[],[s226,s141,s142,s143]) ).

cnf(s626,plain,
    ( ~ spl0_30
    | ~ spl0_34
    | spl0_15 ),
    inference(rat,[],[s224,s421,s133,s134,s135,s7,s625]) ).

cnf(s628,plain,
    ( spl0_7
    | ~ spl0_31 ),
    inference(rat,[],[s583,s153,s154,s155]) ).

cnf(s629,plain,
    ( spl0_21
    | ~ spl0_61 ),
    inference(rat,[],[s566,s181,s182,s183]) ).

cnf(s630,plain,
    ( spl0_8
    | ~ spl0_24
    | ~ spl0_31 ),
    inference(rat,[],[s248,s468,s86,s87]) ).

cnf(s631,plain,
    ( ~ spl0_4
    | ~ spl0_59 ),
    inference(rat,[],[s501,s89,s90,s91]) ).

cnf(s633,plain,
    ( ~ spl0_28
    | spl0_43
    | ~ spl0_7
    | spl0_15
    | spl0_1 ),
    inference(rat,[],[s63,s567,s626,s40,s37,s316,s615,s164,s481,s161,s162,s163,s611,s622]) ).

cnf(s634,plain,
    ( spl0_43
    | ~ spl0_31
    | ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s619,s618,s616,s631,s3,s630,s14,s633,s164,s611,s620,s628]) ).

cnf(s635,plain,
    ( ~ spl0_31
    | ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s565,s63,s495,s626,s165,s166,s167,s37,s59,s615,s553,s14,s468,s630,s85,s86,s87,s3,s631,s52,s621,s634,s456,s628,s524,s127,s126,s125,s35,s622,s481,s161,s162,s163,s164,s611,s620]) ).

cnf(s636,plain,
    ( ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s508,s69,s70,s71,s29,s26,s316,s291,s39,s624,s629,s567,s18,s63,s626,s21,s605,s635,s620,s164,s481,s161,s162,s163,s611,s622]) ).

cnf(s637,plain,
    ( spl0_59
    | spl0_15
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s63,s567,s626,s40,s618,s614,s164,s481,s161,s162,s163,s611,s622]) ).

cnf(s638,plain,
    ( spl0_15
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s565,s63,s495,s626,s165,s166,s167,s37,s59,s615,s553,s14,s468,s630,s85,s86,s87,s3,s631,s637,s628,s456,s524,s125,s127,s126,s35,s622,s481,s161,s162,s163,s164,s611]) ).

cnf(s639,plain,
    ( ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s233,s438,s145,s146,s147,s638,s613,s636,s611]) ).

cnf(s640,plain,
    ( spl0_30
    | spl0_1 ),
    inference(rat,[],[s508,s69,s70,s71,s26,s29,s291,s316,s39,s624,s629,s567,s18,s63,s481,s161,s162,s163,s622,s261,s21,s164,s611,s639]) ).

cnf(s641,plain,
    spl0_1,
    inference(rat,[],[s438,s262,s145,s147,s626,s640,s21,s639,s613,s636,s164,s611]) ).

cnf(s642,plain,
    ~ spl0_18,
    inference(rat,[],[s188,s641]) ).

cnf(s643,plain,
    ~ spl0_153,
    inference(rat,[],[s187,s641]) ).

cnf(s644,plain,
    spl0_152,
    inference(rat,[],[s186,s641]) ).

cnf(s645,plain,
    spl0_151,
    inference(rat,[],[s185,s641]) ).

cnf(s646,plain,
    ~ spl0_49,
    inference(rat,[],[s542,s643,s644,s645]) ).

cnf(s648,plain,
    ( ~ spl0_43
    | ~ spl0_31 ),
    inference(rat,[],[s593,s52,s534,s621,s628,s644,s645,s642]) ).

cnf(s649,plain,
    ( spl0_17
    | spl0_15
    | spl0_43 ),
    inference(rat,[],[s625,s7,s346,s615,s11,s54,s618,s593,s331,s619,s28,s642,s644,s645,s643]) ).

cnf(s650,plain,
    ( ~ spl0_44
    | ~ spl0_7 ),
    inference(rat,[],[s593,s52,s592,s609,s644,s645,s642,s643]) ).

cnf(s652,plain,
    ( ~ spl0_17
    | ~ spl0_51 ),
    inference(rat,[],[s327,s105,s106,s107]) ).

cnf(s653,plain,
    ~ spl0_31,
    inference(rat,[],[s233,s351,s145,s146,s147,s649,s652,s40,s650,s648,s628,s642]) ).

cnf(s654,plain,
    ( spl0_43
    | ~ spl0_29
    | spl0_15 ),
    inference(rat,[],[s600,s571,s177,s178,s179,s63,s565,s495,s165,s166,s167,s59,s455,s602,s113,s114,s115,s32,s562,s625,s7,s316,s615,s39,s616,s652,s649,s605,s642,s653]) ).

cnf(s655,plain,
    ( ~ spl0_43
    | spl0_15 ),
    inference(rat,[],[s615,s7,s54,s626,s625,s593,s18,s534,s624,s642,s644,s645,s653]) ).

cnf(s656,plain,
    ( ~ spl0_34
    | ~ spl0_59
    | spl0_15 ),
    inference(rat,[],[s439,s177,s178,s179,s63,s565,s495,s165,s166,s167,s59,s60,s455,s602,s113,s114,s115,s32,s562,s39,s626,s261,s654,s652,s649,s655,s592,s593,s642,s653,s644,s643,s645]) ).

cnf(s657,plain,
    ( spl0_28
    | ~ spl0_59
    | spl0_15 ),
    inference(rat,[],[s439,s177,s178,s179,s63,s607,s590,s173,s174,s175,s62,s629,s29,s508,s69,s70,s71,s20,s299,s435,s60,s608,s31,s39,s654,s107,s106,s105,s652,s649,s655,s592,s593,s656,s642,s644,s643,s645]) ).

cnf(s658,plain,
    ( ~ spl0_59
    | spl0_15 ),
    inference(rat,[],[s439,s177,s178,s179,s63,s565,s495,s165,s166,s167,s59,s60,s455,s602,s113,s114,s115,s32,s562,s625,s7,s615,s657,s592,s593,s654,s655,s642,s643,s644,s645]) ).

cnf(s659,plain,
    ( spl0_3
    | spl0_44
    | spl0_41
    | spl0_30 ),
    inference(rat,[],[s29,s508,s629,s69,s70,s71,s63,s26,s642]) ).

cnf(s660,plain,
    ( spl0_58
    | spl0_15 ),
    inference(rat,[],[s613,s48,s654,s655,s642]) ).

cnf(s661,plain,
    ( spl0_43
    | spl0_15 ),
    inference(rat,[],[s55,s577,s299,s435,s660,s658,s105,s106,s107,s649,s642]) ).

cnf(s662,plain,
    spl0_15,
    inference(rat,[],[s661,s655]) ).

cnf(s663,plain,
    spl0_123,
    inference(rat,[],[s147,s662]) ).

cnf(s664,plain,
    ~ spl0_122,
    inference(rat,[],[s146,s662]) ).

cnf(s665,plain,
    spl0_121,
    inference(rat,[],[s145,s662]) ).

cnf(s666,plain,
    ~ spl0_29,
    inference(rat,[],[s620,s662]) ).

cnf(s667,plain,
    ( ~ spl0_2
    | ~ spl0_50 ),
    inference(rat,[],[s481,s161,s162,s163]) ).

cnf(s668,plain,
    ( spl0_20
    | ~ spl0_58
    | ~ spl0_28 ),
    inference(rat,[],[s579,s520,s117,s118,s119]) ).

cnf(s669,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(rat,[],[s522,s528,s121,s122,s123,s34,s668,s46,s667,s37,s262,s438,s60,s455,s602,s615,s113,s114,s115,s39,s32,s590,s560,s607,s173,s174,s175,s62,s629,s29,s508,s69,s70,s71,s659,s26,s592,s652,s28,s331,s534,s593,s646,s642,s665,s663,s666,s645,s644,s643]) ).

cnf(s670,plain,
    ~ spl0_59,
    inference(rat,[],[s608,s50,s60,s439,s177,s178,s179,s669,s592,s593,s642,s666,s643,s644,s645]) ).

cnf(s671,plain,
    ( spl0_3
    | spl0_34
    | ~ spl0_28 ),
    inference(rat,[],[s346,s659,s29,s316,s629,s624,s63,s18,s607,s590,s173,s174,s175,s19,s46,s528,s306,s122,s55,s121,s123,s34,s668,s51,s354,s400,s169,s171,s170,s53,s618,s642,s653,s670,s646,s666]) ).

cnf(s672,plain,
    ( spl0_34
    | ~ spl0_28 ),
    inference(rat,[],[s439,s177,s178,s179,s671,s51,s354,s400,s169,s170,s171,s53,s642,s666,s670]) ).

cnf(s673,plain,
    ~ spl0_28,
    inference(rat,[],[s608,s50,s60,s438,s419,s262,s672,s153,s155,s17,s615,s642,s666,s665,s663,s653]) ).

cnf(s674,plain,
    spl0_34,
    inference(rat,[],[s54,s670,s642,s673]) ).

cnf(s675,plain,
    ~ spl0_38,
    inference(rat,[],[s261,s653,s674]) ).

cnf(s676,plain,
    spl0_169,
    inference(rat,[],[s262,s663,s665,s674]) ).

cnf(s677,plain,
    spl0_51,
    inference(rat,[],[s39,s673,s642,s675]) ).

cnf(s678,plain,
    $false,
    inference(rat,[],[s351,s664,s663,s677,s676]) ).

fof(f2614,plain,
    $false,
    inference(avatar_sat_refutation,[],[s678]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN470+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17  % Computer : n018.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 16:11:40 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.29  % (3514384)Will run a generic schedule for satisfiability detection.
% 0.18/0.29  % (3514393)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3951455993:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29  % (3514390)% WARNING: option uhcvi not known.
% 0.18/0.29  % (3514389)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3569095144_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29  % (3514390)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2021667942:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29  % (3514391)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1667736665:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29  % (3514392)dis+10_1_sil=32000:sp=arity:random_seed=180065311:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29  % (3514395)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2636408577:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29  % (3514394)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=279291290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29  % Detected minimum model sizes of [1]
% 0.18/0.29  % Detected maximum model sizes of [32]
% 0.18/0.29  % TRYING [1]
% 0.18/0.29  % TRYING [2]
% 0.18/0.29  % TRYING [3]
% 0.18/0.29  % TRYING [4]
% 0.18/0.29  % (3514395) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3514384-3514395"...
% 0.18/0.29  % (3514393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3514384-3514393"...
% 0.18/0.29  % (3514395)...printing done.
% 0.18/0.29  % (3514395)Refutation found. Thanks to Tanya!
% 0.18/0.29  % SZS status Theorem for theBenchmark
% 0.18/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30  % (3514395)------------------------------
% 0.18/0.30  % (3514395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30  % (3514395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30  % (3514395)CaDiCaL version: 2.1.3
% 0.18/0.30  % (3514395)Termination reason: Refutation
% 0.18/0.30  % (3514395)Time elapsed: 0.036 s
% 0.18/0.30  % (3514395)Peak memory usage: 14 MB
% 0.18/0.30  % (3514395)Instructions burned: 61 (million)
% 0.18/0.30  % (3514384)Success in time 0.085 s
% 0.18/0.30  % Vampire exiting
%------------------------------------------------------------------------------