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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN440+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 : n002.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 02:08:22 PM UTC 2026

% Result   : Theorem 0.19s 0.29s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :  182
% Syntax   : Number of formulae    : 1183 (  35 unt; 181 def)
%            Number of atoms       : 7784 (   0 equ)
%            Maximal formula atoms :  805 (   6 avg)
%            Number of connectives : 10347 (3746   ~;4494   |;1635   &)
%                                         ( 181 <=>; 291  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  133 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  254 ( 253 usr; 250 prp; 0-1 aty)
%            Number of functors    :   67 (  67 usr;  67 con; 0-0 aty)
%            Number of variables   :  729 (   0 sgn 729   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a597)
          & ~ c3_1(a597)
          & ~ c1_1(a597) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a598)
          & c2_1(a598)
          & ~ c1_1(a598) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a601)
          & ~ c2_1(a601)
          & ~ c3_1(a601) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a603)
          & ~ c1_1(a603)
          & ~ c3_1(a603) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c2_1(a604)
          & ~ c0_1(a604)
          & ~ c3_1(a604) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a606)
          & c2_1(a606)
          & ~ c3_1(a606) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a609)
          & ~ c0_1(a609)
          & ~ c1_1(a609) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a610)
          & ~ c2_1(a610)
          & ~ c0_1(a610) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c2_1(a612)
          & c3_1(a612)
          & ~ c1_1(a612) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a613)
          & c2_1(a613)
          & ~ c3_1(a613) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a615)
          & c3_1(a615)
          & ~ c2_1(a615) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a616)
          & c1_1(a616)
          & ~ c2_1(a616) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a620)
          & ~ c3_1(a620)
          & ~ c1_1(a620) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c1_1(a622)
          & ~ c2_1(a622)
          & ~ c0_1(a622) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a624)
          & ~ c1_1(a624)
          & ~ c2_1(a624) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c2_1(a625)
          & ~ c1_1(a625)
          & ~ c0_1(a625) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a627)
          & c0_1(a627)
          & ~ c3_1(a627) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a628)
          & ~ c2_1(a628)
          & ~ c1_1(a628) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a632)
          & c3_1(a632)
          & ~ c1_1(a632) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c1_1(a634)
          & ~ c0_1(a634)
          & ~ c3_1(a634) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c1_1(a635)
          & ~ c2_1(a635)
          & ~ c3_1(a635) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a637)
          & c0_1(a637)
          & ~ c3_1(a637) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a641)
          & ~ c1_1(a641)
          & ~ c2_1(a641) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a642)
          & c3_1(a642)
          & ~ c0_1(a642) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a643)
          & c3_1(a643)
          & ~ c1_1(a643) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a646)
          & ~ c2_1(a646)
          & ~ c0_1(a646) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c1_1(a652)
          & c3_1(a652)
          & ~ c2_1(a652) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c3_1(a654)
          & ~ c0_1(a654)
          & ~ c1_1(a654) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ~ c3_1(a656)
          & c1_1(a656)
          & ~ c0_1(a656) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ c1_1(a660)
          & ~ c3_1(a660)
          & ~ c0_1(a660) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ~ c2_1(a666)
          & c0_1(a666)
          & ~ c3_1(a666) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ~ c2_1(a667)
          & c1_1(a667)
          & ~ c0_1(a667) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & c0_1(a677)
          & ~ c3_1(a677)
          & ~ c2_1(a677) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ~ c2_1(a599)
          & c0_1(a599)
          & c3_1(a599) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ~ c3_1(a600)
          & c2_1(a600)
          & c0_1(a600) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ~ c3_1(a602)
          & ~ c1_1(a602)
          & c2_1(a602) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & c1_1(a605)
          & ~ c3_1(a605)
          & c0_1(a605) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & c1_1(a607)
          & ~ c2_1(a607)
          & c0_1(a607) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & c1_1(a608)
          & c3_1(a608)
          & c0_1(a608) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ~ c1_1(a611)
          & c3_1(a611)
          & c2_1(a611) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & c2_1(a614)
          & c1_1(a614)
          & c0_1(a614) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & c2_1(a617)
          & ~ c1_1(a617)
          & c3_1(a617) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ~ c2_1(a618)
          & ~ c3_1(a618)
          & c1_1(a618) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ~ c3_1(a619)
          & ~ c1_1(a619)
          & c0_1(a619) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & c2_1(a621)
          & ~ c0_1(a621)
          & c3_1(a621) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ~ c0_1(a623)
          & c3_1(a623)
          & c2_1(a623) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & c1_1(a626)
          & c0_1(a626)
          & c3_1(a626) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ~ c1_1(a636)
          & ~ c0_1(a636)
          & c3_1(a636) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ c3_1(a638)
          & c1_1(a638)
          & c2_1(a638) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ~ c2_1(a639)
          & ~ c0_1(a639)
          & c1_1(a639) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ c3_1(a640)
          & c1_1(a640)
          & c0_1(a640) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & c2_1(a644)
          & ~ c3_1(a644)
          & c0_1(a644) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ~ c2_1(a647)
          & ~ c1_1(a647)
          & c0_1(a647) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & c3_1(a648)
          & ~ c2_1(a648)
          & c0_1(a648) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & c3_1(a651)
          & ~ c0_1(a651)
          & c2_1(a651) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & ~ c2_1(a653)
          & c3_1(a653)
          & c1_1(a653) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ~ c1_1(a658)
          & c2_1(a658)
          & c3_1(a658) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & ~ c0_1(a662)
          & c1_1(a662)
          & c2_1(a662) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ c0_1(a663)
          & ~ c1_1(a663)
          & c3_1(a663) ) )
      & ( ~ hskp59
        | ( ndr1_0
          & ~ c0_1(a665)
          & c2_1(a665)
          & c3_1(a665) ) )
      & ( ~ hskp60
        | ( ndr1_0
          & c0_1(a669)
          & ~ c2_1(a669)
          & c1_1(a669) ) )
      & ( ~ hskp61
        | ( ndr1_0
          & ~ c1_1(a670)
          & ~ c0_1(a670)
          & c2_1(a670) ) )
      & ( ~ hskp62
        | ( ndr1_0
          & ~ c1_1(a671)
          & c3_1(a671)
          & c0_1(a671) ) )
      & ( ~ hskp63
        | ( ndr1_0
          & ~ c0_1(a672)
          & ~ c2_1(a672)
          & c3_1(a672) ) )
      & ( ~ hskp64
        | ( ndr1_0
          & c3_1(a673)
          & ~ c0_1(a673)
          & c1_1(a673) ) )
      & ( ~ hskp65
        | ( ndr1_0
          & c2_1(a674)
          & ~ c1_1(a674)
          & c0_1(a674) ) )
      & ( ~ hskp66
        | ( ndr1_0
          & c1_1(a675)
          & ~ c2_1(a675)
          & c3_1(a675) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | ~ c3_1(X0)
              | ~ c0_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c0_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | ~ c2_1(X2)
              | c3_1(X2) ) ) )
      & ( hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | ~ c3_1(X3)
              | c1_1(X3) ) )
        | hskp1 )
      & ( hskp33
        | hskp34
        | hskp2 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | ~ c3_1(X5)
              | ~ c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | c0_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c3_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( hskp35
        | ! [X10] :
            ( ndr1_0
           => ( ~ c0_1(X10)
              | ~ c2_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c2_1(X11)
              | ~ c3_1(X11) ) ) )
      & ( hskp3
        | hskp4
        | hskp36 )
      & ( hskp5
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | ~ c2_1(X12)
              | ~ c3_1(X12) ) )
        | hskp37 )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c0_1(X13)
              | c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c2_1(X15) ) ) )
      & ( hskp38
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | ~ c3_1(X18)
              | ~ c0_1(X18) ) )
        | hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | ~ c0_1(X19)
              | ~ c3_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c1_1(X20)
              | ~ c0_1(X20) ) )
        | hskp7
        | hskp39 )
      & ( hskp8
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c1_1(X21)
              | c3_1(X21) ) )
        | hskp9 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | ~ c3_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c0_1(X24)
              | c2_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | ~ c1_1(X25)
              | c2_1(X25) ) )
        | hskp40
        | hskp10 )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | hskp11
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | c1_1(X27)
              | c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c2_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c0_1(X31)
              | c2_1(X31) ) )
        | hskp41
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | ~ c3_1(X32)
              | c2_1(X32) ) ) )
      & ( hskp42
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c3_1(X37)
              | ~ c2_1(X37) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | c1_1(X39)
              | c0_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c3_1(X40)
              | c1_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c0_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( hskp43
        | hskp12
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c1_1(X44)
              | c2_1(X44) ) ) )
      & ( hskp44
        | hskp13
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c2_1(X45)
              | ~ c1_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | hskp45 )
      & ( hskp14
        | hskp15
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c1_1(X48)
              | ~ c0_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | c1_1(X49)
              | c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c0_1(X50)
              | c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c1_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c0_1(X53)
              | ~ c3_1(X53) ) )
        | hskp46 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c1_1(X54)
              | c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp16
        | hskp17
        | hskp9 )
      & ( hskp36
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c1_1(X57)
              | c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) ) )
      & ( hskp16
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c2_1(X59)
              | c0_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | ~ c0_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | ~ c1_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c0_1(X63) ) ) )
      & ( hskp18
        | hskp9
        | hskp19 )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | hskp20 )
      & ( hskp47
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp21 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c0_1(X67)
              | c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c1_1(X68)
              | c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c0_1(X69)
              | c2_1(X69) ) ) )
      & ( hskp48
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp49 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) )
        | hskp50
        | hskp22 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c2_1(X72)
              | ~ c3_1(X72) ) )
        | hskp23
        | hskp24 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c0_1(X73)
              | c3_1(X73) ) )
        | hskp51
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c0_1(X74)
              | ~ c3_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c1_1(X76)
              | ~ c3_1(X76) ) )
        | hskp5 )
      & ( hskp25
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | hskp52 )
      & ( hskp53
        | hskp17
        | ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | c1_1(X78)
              | ~ c3_1(X78) ) ) )
      & ( hskp37
        | hskp54
        | ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp26
        | hskp55
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp27
        | hskp40
        | hskp28 )
      & ( hskp55
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c3_1(X81)
              | c1_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c3_1(X82)
              | c0_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp56
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c0_1(X85)
              | c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp3
        | hskp29 )
      & ( hskp42
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | c0_1(X86)
              | c1_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp57
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c3_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c3_1(X90)
              | ~ c0_1(X90) ) )
        | hskp58
        | hskp41 )
      & ( hskp59
        | hskp30 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | c0_1(X91) ) )
        | hskp31
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp33
        | hskp60
        | hskp61 )
      & ( hskp62
        | hskp63
        | ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp64
        | hskp65
        | hskp66 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) )
        | hskp55
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | c0_1(X95)
              | ~ c3_1(X95) ) ) )
      & ( hskp32
        | hskp30
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c2_1(X96) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a597)
            & ~ c3_1(a597)
            & ~ c1_1(a597) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a598)
            & c2_1(a598)
            & ~ c1_1(a598) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a601)
            & ~ c2_1(a601)
            & ~ c3_1(a601) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a603)
            & ~ c1_1(a603)
            & ~ c3_1(a603) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c2_1(a604)
            & ~ c0_1(a604)
            & ~ c3_1(a604) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a606)
            & c2_1(a606)
            & ~ c3_1(a606) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a609)
            & ~ c0_1(a609)
            & ~ c1_1(a609) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a610)
            & ~ c2_1(a610)
            & ~ c0_1(a610) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c2_1(a612)
            & c3_1(a612)
            & ~ c1_1(a612) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a613)
            & c2_1(a613)
            & ~ c3_1(a613) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a615)
            & c3_1(a615)
            & ~ c2_1(a615) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a616)
            & c1_1(a616)
            & ~ c2_1(a616) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a620)
            & ~ c3_1(a620)
            & ~ c1_1(a620) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c1_1(a622)
            & ~ c2_1(a622)
            & ~ c0_1(a622) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a624)
            & ~ c1_1(a624)
            & ~ c2_1(a624) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c2_1(a625)
            & ~ c1_1(a625)
            & ~ c0_1(a625) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a627)
            & c0_1(a627)
            & ~ c3_1(a627) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a628)
            & ~ c2_1(a628)
            & ~ c1_1(a628) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a632)
            & c3_1(a632)
            & ~ c1_1(a632) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c1_1(a634)
            & ~ c0_1(a634)
            & ~ c3_1(a634) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c1_1(a635)
            & ~ c2_1(a635)
            & ~ c3_1(a635) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a637)
            & c0_1(a637)
            & ~ c3_1(a637) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a641)
            & ~ c1_1(a641)
            & ~ c2_1(a641) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a642)
            & c3_1(a642)
            & ~ c0_1(a642) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a643)
            & c3_1(a643)
            & ~ c1_1(a643) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a646)
            & ~ c2_1(a646)
            & ~ c0_1(a646) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c1_1(a652)
            & c3_1(a652)
            & ~ c2_1(a652) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c3_1(a654)
            & ~ c0_1(a654)
            & ~ c1_1(a654) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & ~ c3_1(a656)
            & c1_1(a656)
            & ~ c0_1(a656) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & ~ c1_1(a660)
            & ~ c3_1(a660)
            & ~ c0_1(a660) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & ~ c2_1(a666)
            & c0_1(a666)
            & ~ c3_1(a666) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & ~ c2_1(a667)
            & c1_1(a667)
            & ~ c0_1(a667) ) )
        & ( ~ hskp32
          | ( ndr1_0
            & c0_1(a677)
            & ~ c3_1(a677)
            & ~ c2_1(a677) ) )
        & ( ~ hskp33
          | ( ndr1_0
            & ~ c2_1(a599)
            & c0_1(a599)
            & c3_1(a599) ) )
        & ( ~ hskp34
          | ( ndr1_0
            & ~ c3_1(a600)
            & c2_1(a600)
            & c0_1(a600) ) )
        & ( ~ hskp35
          | ( ndr1_0
            & ~ c3_1(a602)
            & ~ c1_1(a602)
            & c2_1(a602) ) )
        & ( ~ hskp36
          | ( ndr1_0
            & c1_1(a605)
            & ~ c3_1(a605)
            & c0_1(a605) ) )
        & ( ~ hskp37
          | ( ndr1_0
            & c1_1(a607)
            & ~ c2_1(a607)
            & c0_1(a607) ) )
        & ( ~ hskp38
          | ( ndr1_0
            & c1_1(a608)
            & c3_1(a608)
            & c0_1(a608) ) )
        & ( ~ hskp39
          | ( ndr1_0
            & ~ c1_1(a611)
            & c3_1(a611)
            & c2_1(a611) ) )
        & ( ~ hskp40
          | ( ndr1_0
            & c2_1(a614)
            & c1_1(a614)
            & c0_1(a614) ) )
        & ( ~ hskp41
          | ( ndr1_0
            & c2_1(a617)
            & ~ c1_1(a617)
            & c3_1(a617) ) )
        & ( ~ hskp42
          | ( ndr1_0
            & ~ c2_1(a618)
            & ~ c3_1(a618)
            & c1_1(a618) ) )
        & ( ~ hskp43
          | ( ndr1_0
            & ~ c3_1(a619)
            & ~ c1_1(a619)
            & c0_1(a619) ) )
        & ( ~ hskp44
          | ( ndr1_0
            & c2_1(a621)
            & ~ c0_1(a621)
            & c3_1(a621) ) )
        & ( ~ hskp45
          | ( ndr1_0
            & ~ c0_1(a623)
            & c3_1(a623)
            & c2_1(a623) ) )
        & ( ~ hskp46
          | ( ndr1_0
            & c1_1(a626)
            & c0_1(a626)
            & c3_1(a626) ) )
        & ( ~ hskp47
          | ( ndr1_0
            & ~ c1_1(a636)
            & ~ c0_1(a636)
            & c3_1(a636) ) )
        & ( ~ hskp48
          | ( ndr1_0
            & ~ c3_1(a638)
            & c1_1(a638)
            & c2_1(a638) ) )
        & ( ~ hskp49
          | ( ndr1_0
            & ~ c2_1(a639)
            & ~ c0_1(a639)
            & c1_1(a639) ) )
        & ( ~ hskp50
          | ( ndr1_0
            & ~ c3_1(a640)
            & c1_1(a640)
            & c0_1(a640) ) )
        & ( ~ hskp51
          | ( ndr1_0
            & c2_1(a644)
            & ~ c3_1(a644)
            & c0_1(a644) ) )
        & ( ~ hskp52
          | ( ndr1_0
            & ~ c2_1(a647)
            & ~ c1_1(a647)
            & c0_1(a647) ) )
        & ( ~ hskp53
          | ( ndr1_0
            & c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648) ) )
        & ( ~ hskp54
          | ( ndr1_0
            & c3_1(a651)
            & ~ c0_1(a651)
            & c2_1(a651) ) )
        & ( ~ hskp55
          | ( ndr1_0
            & ~ c2_1(a653)
            & c3_1(a653)
            & c1_1(a653) ) )
        & ( ~ hskp56
          | ( ndr1_0
            & ~ c1_1(a658)
            & c2_1(a658)
            & c3_1(a658) ) )
        & ( ~ hskp57
          | ( ndr1_0
            & ~ c0_1(a662)
            & c1_1(a662)
            & c2_1(a662) ) )
        & ( ~ hskp58
          | ( ndr1_0
            & ~ c0_1(a663)
            & ~ c1_1(a663)
            & c3_1(a663) ) )
        & ( ~ hskp59
          | ( ndr1_0
            & ~ c0_1(a665)
            & c2_1(a665)
            & c3_1(a665) ) )
        & ( ~ hskp60
          | ( ndr1_0
            & c0_1(a669)
            & ~ c2_1(a669)
            & c1_1(a669) ) )
        & ( ~ hskp61
          | ( ndr1_0
            & ~ c1_1(a670)
            & ~ c0_1(a670)
            & c2_1(a670) ) )
        & ( ~ hskp62
          | ( ndr1_0
            & ~ c1_1(a671)
            & c3_1(a671)
            & c0_1(a671) ) )
        & ( ~ hskp63
          | ( ndr1_0
            & ~ c0_1(a672)
            & ~ c2_1(a672)
            & c3_1(a672) ) )
        & ( ~ hskp64
          | ( ndr1_0
            & c3_1(a673)
            & ~ c0_1(a673)
            & c1_1(a673) ) )
        & ( ~ hskp65
          | ( ndr1_0
            & c2_1(a674)
            & ~ c1_1(a674)
            & c0_1(a674) ) )
        & ( ~ hskp66
          | ( ndr1_0
            & c1_1(a675)
            & ~ c2_1(a675)
            & c3_1(a675) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | ~ c3_1(X0)
                | ~ c0_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c0_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c2_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c3_1(X3)
                | c1_1(X3) ) )
          | hskp1 )
        & ( hskp33
          | hskp34
          | hskp2 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c3_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c0_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c3_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( hskp35
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c2_1(X11)
                | ~ c3_1(X11) ) ) )
        & ( hskp3
          | hskp4
          | hskp36 )
        & ( hskp5
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c2_1(X12)
                | ~ c3_1(X12) ) )
          | hskp37 )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c0_1(X13)
                | c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp38
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c3_1(X18)
                | ~ c0_1(X18) ) )
          | hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | hskp7
          | hskp39 )
        & ( hskp8
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c3_1(X21) ) )
          | hskp9 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c3_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c0_1(X24)
                | c2_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c1_1(X25)
                | c2_1(X25) ) )
          | hskp40
          | hskp10 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | hskp11
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c1_1(X27)
                | c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c2_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | hskp41
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c3_1(X32)
                | c2_1(X32) ) ) )
        & ( hskp42
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c3_1(X37)
                | ~ c2_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c1_1(X39)
                | c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c0_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( hskp43
          | hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c2_1(X44) ) ) )
        & ( hskp44
          | hskp13
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c2_1(X45)
                | ~ c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | hskp45 )
        & ( hskp14
          | hskp15
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c1_1(X48)
                | ~ c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c1_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c0_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c1_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c0_1(X53)
                | ~ c3_1(X53) ) )
          | hskp46 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c1_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp16
          | hskp17
          | hskp9 )
        & ( hskp36
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c1_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( hskp16
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c0_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | ~ c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) ) )
        & ( hskp18
          | hskp9
          | hskp19 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | hskp20 )
        & ( hskp47
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp21 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c0_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c1_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c0_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp48
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp49 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | hskp50
          | hskp22 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | hskp23
          | hskp24 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c0_1(X73)
                | c3_1(X73) ) )
          | hskp51
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c0_1(X74)
                | ~ c3_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c1_1(X76)
                | ~ c3_1(X76) ) )
          | hskp5 )
        & ( hskp25
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | hskp52 )
        & ( hskp53
          | hskp17
          | ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | c1_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( hskp37
          | hskp54
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp26
          | hskp55
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp27
          | hskp40
          | hskp28 )
        & ( hskp55
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c3_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp56
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c0_1(X85)
                | c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp3
          | hskp29 )
        & ( hskp42
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c0_1(X86)
                | c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp57
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c3_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c3_1(X90)
                | ~ c0_1(X90) ) )
          | hskp58
          | hskp41 )
        & ( hskp59
          | hskp30 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c0_1(X91) ) )
          | hskp31
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp33
          | hskp60
          | hskp61 )
        & ( hskp62
          | hskp63
          | ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp64
          | hskp65
          | hskp66 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) )
          | hskp55
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | c0_1(X95)
                | ~ c3_1(X95) ) ) )
        & ( hskp32
          | hskp30
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c2_1(X96) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a597)
        & ~ c3_1(a597)
        & ~ c1_1(a597) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a598)
        & c2_1(a598)
        & ~ c1_1(a598) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a601)
        & ~ c2_1(a601)
        & ~ c3_1(a601) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c3_1(a603) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c2_1(a604)
        & ~ c0_1(a604)
        & ~ c3_1(a604) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a606)
        & c2_1(a606)
        & ~ c3_1(a606) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a609)
        & ~ c0_1(a609)
        & ~ c1_1(a609) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a610)
        & ~ c2_1(a610)
        & ~ c0_1(a610) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a612)
        & c3_1(a612)
        & ~ c1_1(a612) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a613)
        & c2_1(a613)
        & ~ c3_1(a613) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a615)
        & c3_1(a615)
        & ~ c2_1(a615) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a616)
        & c1_1(a616)
        & ~ c2_1(a616) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a620)
        & ~ c3_1(a620)
        & ~ c1_1(a620) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a622)
        & ~ c2_1(a622)
        & ~ c0_1(a622) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a624)
        & ~ c1_1(a624)
        & ~ c2_1(a624) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c2_1(a625)
        & ~ c1_1(a625)
        & ~ c0_1(a625) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a627)
        & c0_1(a627)
        & ~ c3_1(a627) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a628)
        & ~ c2_1(a628)
        & ~ c1_1(a628) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a632)
        & c3_1(a632)
        & ~ c1_1(a632) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a634)
        & ~ c0_1(a634)
        & ~ c3_1(a634) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a635)
        & ~ c2_1(a635)
        & ~ c3_1(a635) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a637)
        & c0_1(a637)
        & ~ c3_1(a637) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a641)
        & ~ c1_1(a641)
        & ~ c2_1(a641) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a642)
        & c3_1(a642)
        & ~ c0_1(a642) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a643)
        & c3_1(a643)
        & ~ c1_1(a643) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a646)
        & ~ c2_1(a646)
        & ~ c0_1(a646) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c1_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c3_1(a654)
        & ~ c0_1(a654)
        & ~ c1_1(a654) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c3_1(a656)
        & c1_1(a656)
        & ~ c0_1(a656) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c1_1(a660)
        & ~ c3_1(a660)
        & ~ c0_1(a660) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c2_1(a666)
        & c0_1(a666)
        & ~ c3_1(a666) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ c2_1(a667)
        & c1_1(a667)
        & ~ c0_1(a667) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c0_1(a677)
        & ~ c3_1(a677)
        & ~ c2_1(a677) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ c2_1(a599)
        & c0_1(a599)
        & c3_1(a599) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ c3_1(a602)
        & ~ c1_1(a602)
        & c2_1(a602) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c1_1(a605)
        & ~ c3_1(a605)
        & c0_1(a605) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c1_1(a607)
        & ~ c2_1(a607)
        & c0_1(a607) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c1_1(a608)
        & c3_1(a608)
        & c0_1(a608) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a611)
        & c3_1(a611)
        & c2_1(a611) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c2_1(a614)
        & c1_1(a614)
        & c0_1(a614) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c2_1(a617)
        & ~ c1_1(a617)
        & c3_1(a617) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a618)
        & ~ c3_1(a618)
        & c1_1(a618) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c2_1(a621)
        & ~ c0_1(a621)
        & c3_1(a621) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c0_1(a623)
        & c3_1(a623)
        & c2_1(a623) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & c1_1(a626)
        & c0_1(a626)
        & c3_1(a626) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a638)
        & c1_1(a638)
        & c2_1(a638) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c2_1(a639)
        & ~ c0_1(a639)
        & c1_1(a639) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a640)
        & c1_1(a640)
        & c0_1(a640) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a644)
        & ~ c3_1(a644)
        & c0_1(a644) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ c2_1(a647)
        & ~ c1_1(a647)
        & c0_1(a647) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & c2_1(a651) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ c2_1(a653)
        & c3_1(a653)
        & c1_1(a653) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c1_1(a658)
        & c2_1(a658)
        & c3_1(a658) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ~ c0_1(a662)
        & c1_1(a662)
        & c2_1(a662) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a663)
        & ~ c1_1(a663)
        & c3_1(a663) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ c0_1(a665)
        & c2_1(a665)
        & c3_1(a665) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & c0_1(a669)
        & ~ c2_1(a669)
        & c1_1(a669) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c1_1(a670)
        & ~ c0_1(a670)
        & c2_1(a670) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ c1_1(a671)
        & c3_1(a671)
        & c0_1(a671) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c0_1(a672)
        & ~ c2_1(a672)
        & c3_1(a672) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & c3_1(a673)
        & ~ c0_1(a673)
        & c1_1(a673) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & c2_1(a674)
        & ~ c1_1(a674)
        & c0_1(a674) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & c1_1(a675)
        & ~ c2_1(a675)
        & c3_1(a675) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | ~ c3_1(X0)
            | ~ c0_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c0_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | ~ c2_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp0
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | ~ c3_1(X3)
            | c1_1(X3) ) )
      | hskp1 )
    & ( hskp33
      | hskp34
      | hskp2 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | ~ c0_1(X4)
            | c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | ~ c3_1(X5)
            | ~ c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c1_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | c0_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c3_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( hskp35
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c2_1(X11)
            | ~ c3_1(X11) ) ) )
    & ( hskp3
      | hskp4
      | hskp36 )
    & ( hskp5
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | ~ c2_1(X12)
            | ~ c3_1(X12) ) )
      | hskp37 )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | c0_1(X13)
            | c1_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp38
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c3_1(X18)
            | ~ c0_1(X18) ) )
      | hskp6
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | ~ c3_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | ~ c1_1(X20)
            | ~ c0_1(X20) ) )
      | hskp7
      | hskp39 )
    & ( hskp8
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c1_1(X21)
            | c3_1(X21) ) )
      | hskp9 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | ~ c3_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c0_1(X24)
            | c2_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | ~ c1_1(X25)
            | c2_1(X25) ) )
      | hskp40
      | hskp10 )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | ~ c2_1(X26) ) )
      | hskp11
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | c1_1(X27)
            | c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | ~ c2_1(X30)
            | c0_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | hskp41
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | ~ c3_1(X32)
            | c2_1(X32) ) ) )
    & ( hskp42
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c3_1(X37)
            | ~ c2_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | c1_1(X39)
            | c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c3_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c0_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | c3_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( hskp43
      | hskp12
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c2_1(X44) ) ) )
    & ( hskp44
      | hskp13
      | ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c2_1(X45)
            | ~ c1_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c3_1(X46)
            | ~ c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | hskp45 )
    & ( hskp14
      | hskp15
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c1_1(X48)
            | ~ c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c1_1(X49)
            | c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c0_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c1_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c2_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c0_1(X53)
            | ~ c3_1(X53) ) )
      | hskp46 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c1_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp16
      | hskp17
      | hskp9 )
    & ( hskp36
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c1_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) ) )
    & ( hskp16
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c0_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | ~ c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | ~ c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) ) )
    & ( hskp18
      | hskp9
      | hskp19 )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | c2_1(X65)
            | ~ c0_1(X65) ) )
      | hskp20 )
    & ( hskp47
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp21 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c0_1(X67)
            | c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c1_1(X68)
            | c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c0_1(X69)
            | c2_1(X69) ) ) )
    & ( hskp48
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp49 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) )
      | hskp50
      | hskp22 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | hskp23
      | hskp24 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c0_1(X73)
            | c3_1(X73) ) )
      | hskp51
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c0_1(X74)
            | ~ c3_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | ~ c1_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | c1_1(X76)
            | ~ c3_1(X76) ) )
      | hskp5 )
    & ( hskp25
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) )
      | hskp52 )
    & ( hskp53
      | hskp17
      | ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | c1_1(X78)
            | ~ c3_1(X78) ) ) )
    & ( hskp37
      | hskp54
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp26
      | hskp55
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) ) )
    & ( hskp27
      | hskp40
      | hskp28 )
    & ( hskp55
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c3_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c0_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp56
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | c3_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c0_1(X85)
            | c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp3
      | hskp29 )
    & ( hskp42
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c0_1(X86)
            | c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c0_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp57
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c3_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c1_1(X89)
            | ~ c3_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c3_1(X90)
            | ~ c0_1(X90) ) )
      | hskp58
      | hskp41 )
    & ( hskp59
      | hskp30 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | c0_1(X91) ) )
      | hskp31
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c1_1(X92)
            | ~ c0_1(X92) ) ) )
    & ( hskp33
      | hskp60
      | hskp61 )
    & ( hskp62
      | hskp63
      | ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c3_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp64
      | hskp65
      | hskp66 )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) )
      | hskp55
      | ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | c0_1(X95)
            | ~ c3_1(X95) ) ) )
    & ( hskp32
      | hskp30
      | ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c2_1(X96) ) ) ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a597)
        & ~ c3_1(a597)
        & ~ c1_1(a597) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a598)
        & c2_1(a598)
        & ~ c1_1(a598) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a601)
        & ~ c2_1(a601)
        & ~ c3_1(a601) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c3_1(a603) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c2_1(a604)
        & ~ c0_1(a604)
        & ~ c3_1(a604) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a606)
        & c2_1(a606)
        & ~ c3_1(a606) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a609)
        & ~ c0_1(a609)
        & ~ c1_1(a609) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a610)
        & ~ c2_1(a610)
        & ~ c0_1(a610) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a612)
        & c3_1(a612)
        & ~ c1_1(a612) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a613)
        & c2_1(a613)
        & ~ c3_1(a613) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a615)
        & c3_1(a615)
        & ~ c2_1(a615) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a616)
        & c1_1(a616)
        & ~ c2_1(a616) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a620)
        & ~ c3_1(a620)
        & ~ c1_1(a620) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a622)
        & ~ c2_1(a622)
        & ~ c0_1(a622) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a624)
        & ~ c1_1(a624)
        & ~ c2_1(a624) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c2_1(a625)
        & ~ c1_1(a625)
        & ~ c0_1(a625) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a627)
        & c0_1(a627)
        & ~ c3_1(a627) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a628)
        & ~ c2_1(a628)
        & ~ c1_1(a628) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a632)
        & c3_1(a632)
        & ~ c1_1(a632) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a634)
        & ~ c0_1(a634)
        & ~ c3_1(a634) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a635)
        & ~ c2_1(a635)
        & ~ c3_1(a635) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a637)
        & c0_1(a637)
        & ~ c3_1(a637) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a641)
        & ~ c1_1(a641)
        & ~ c2_1(a641) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a642)
        & c3_1(a642)
        & ~ c0_1(a642) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a643)
        & c3_1(a643)
        & ~ c1_1(a643) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a646)
        & ~ c2_1(a646)
        & ~ c0_1(a646) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c1_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c3_1(a654)
        & ~ c0_1(a654)
        & ~ c1_1(a654) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c3_1(a656)
        & c1_1(a656)
        & ~ c0_1(a656) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c1_1(a660)
        & ~ c3_1(a660)
        & ~ c0_1(a660) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c2_1(a666)
        & c0_1(a666)
        & ~ c3_1(a666) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ c2_1(a667)
        & c1_1(a667)
        & ~ c0_1(a667) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c0_1(a677)
        & ~ c3_1(a677)
        & ~ c2_1(a677) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ c2_1(a599)
        & c0_1(a599)
        & c3_1(a599) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ c3_1(a602)
        & ~ c1_1(a602)
        & c2_1(a602) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c1_1(a605)
        & ~ c3_1(a605)
        & c0_1(a605) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c1_1(a607)
        & ~ c2_1(a607)
        & c0_1(a607) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c1_1(a608)
        & c3_1(a608)
        & c0_1(a608) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a611)
        & c3_1(a611)
        & c2_1(a611) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c2_1(a614)
        & c1_1(a614)
        & c0_1(a614) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c2_1(a617)
        & ~ c1_1(a617)
        & c3_1(a617) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a618)
        & ~ c3_1(a618)
        & c1_1(a618) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c2_1(a621)
        & ~ c0_1(a621)
        & c3_1(a621) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c0_1(a623)
        & c3_1(a623)
        & c2_1(a623) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & c1_1(a626)
        & c0_1(a626)
        & c3_1(a626) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a638)
        & c1_1(a638)
        & c2_1(a638) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c2_1(a639)
        & ~ c0_1(a639)
        & c1_1(a639) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a640)
        & c1_1(a640)
        & c0_1(a640) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a644)
        & ~ c3_1(a644)
        & c0_1(a644) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ c2_1(a647)
        & ~ c1_1(a647)
        & c0_1(a647) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & c2_1(a651) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ c2_1(a653)
        & c3_1(a653)
        & c1_1(a653) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c1_1(a658)
        & c2_1(a658)
        & c3_1(a658) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ~ c0_1(a662)
        & c1_1(a662)
        & c2_1(a662) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a663)
        & ~ c1_1(a663)
        & c3_1(a663) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ c0_1(a665)
        & c2_1(a665)
        & c3_1(a665) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & c0_1(a669)
        & ~ c2_1(a669)
        & c1_1(a669) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c1_1(a670)
        & ~ c0_1(a670)
        & c2_1(a670) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ c1_1(a671)
        & c3_1(a671)
        & c0_1(a671) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c0_1(a672)
        & ~ c2_1(a672)
        & c3_1(a672) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & c3_1(a673)
        & ~ c0_1(a673)
        & c1_1(a673) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & c2_1(a674)
        & ~ c1_1(a674)
        & c0_1(a674) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & c1_1(a675)
        & ~ c2_1(a675)
        & c3_1(a675) ) )
    & ( ! [X0] :
          ( c2_1(X0)
          | ~ c3_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c2_1(X1)
          | c0_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X3] :
          ( c0_1(X3)
          | ~ c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp33
      | hskp34
      | hskp2 )
    & ( ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c1_1(X7)
          | c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp35
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp4
      | hskp36 )
    & ( hskp5
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp37 )
    & ( ! [X13] :
          ( ~ c2_1(X13)
          | c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp38
      | ! [X16] :
          ( c2_1(X16)
          | c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | hskp6
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp7
      | hskp39 )
    & ( hskp8
      | ! [X21] :
          ( c2_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ c3_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c3_1(X25)
          | ~ c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | hskp40
      | hskp10 )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp11
      | ! [X27] :
          ( c2_1(X27)
          | c1_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | ~ c2_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | hskp41
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp42
      | ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp43
      | hskp12
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp44
      | hskp13
      | ! [X45] :
          ( c0_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp45 )
    & ( hskp14
      | hskp15
      | ! [X48] :
          ( ~ c2_1(X48)
          | c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp46 )
    & ( ! [X54] :
          ( c2_1(X54)
          | c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | hskp9 )
    & ( hskp36
      | ! [X57] :
          ( ~ c0_1(X57)
          | c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp9
      | hskp19 )
    & ( ! [X64] :
          ( ~ c2_1(X64)
          | c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp47
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X67] :
          ( c2_1(X67)
          | c0_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp48
      | ! [X70] :
          ( c1_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp49 )
    & ( ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | hskp50
      | hskp22 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c0_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 )
      | hskp51
      | ! [X74] :
          ( ~ c1_1(X74)
          | c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp25
      | ! [X77] :
          ( c3_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp52 )
    & ( hskp53
      | hskp17
      | ! [X78] :
          ( c0_1(X78)
          | c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp37
      | hskp54
      | ! [X79] :
          ( c3_1(X79)
          | ~ c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp55
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp40
      | hskp28 )
    & ( hskp55
      | ! [X81] :
          ( c2_1(X81)
          | ~ c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c2_1(X83)
          | c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp56
      | ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c0_1(X85)
          | c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3
      | hskp29 )
    & ( hskp42
      | ! [X86] :
          ( ~ c3_1(X86)
          | c0_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp57
      | ! [X88] :
          ( c1_1(X88)
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp58
      | hskp41 )
    & ( hskp59
      | hskp30 )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | hskp31
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp33
      | hskp60
      | hskp61 )
    & ( hskp62
      | hskp63
      | ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp64
      | hskp65
      | hskp66 )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | hskp55
      | ! [X95] :
          ( c1_1(X95)
          | c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp32
      | hskp30
      | ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a597)
        & ~ c3_1(a597)
        & ~ c1_1(a597) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a598)
        & c2_1(a598)
        & ~ c1_1(a598) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a601)
        & ~ c2_1(a601)
        & ~ c3_1(a601) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c3_1(a603) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c2_1(a604)
        & ~ c0_1(a604)
        & ~ c3_1(a604) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a606)
        & c2_1(a606)
        & ~ c3_1(a606) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a609)
        & ~ c0_1(a609)
        & ~ c1_1(a609) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a610)
        & ~ c2_1(a610)
        & ~ c0_1(a610) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a612)
        & c3_1(a612)
        & ~ c1_1(a612) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a613)
        & c2_1(a613)
        & ~ c3_1(a613) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a615)
        & c3_1(a615)
        & ~ c2_1(a615) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a616)
        & c1_1(a616)
        & ~ c2_1(a616) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a620)
        & ~ c3_1(a620)
        & ~ c1_1(a620) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a622)
        & ~ c2_1(a622)
        & ~ c0_1(a622) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a624)
        & ~ c1_1(a624)
        & ~ c2_1(a624) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c2_1(a625)
        & ~ c1_1(a625)
        & ~ c0_1(a625) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a627)
        & c0_1(a627)
        & ~ c3_1(a627) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a628)
        & ~ c2_1(a628)
        & ~ c1_1(a628) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a632)
        & c3_1(a632)
        & ~ c1_1(a632) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a634)
        & ~ c0_1(a634)
        & ~ c3_1(a634) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a635)
        & ~ c2_1(a635)
        & ~ c3_1(a635) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a637)
        & c0_1(a637)
        & ~ c3_1(a637) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a641)
        & ~ c1_1(a641)
        & ~ c2_1(a641) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a642)
        & c3_1(a642)
        & ~ c0_1(a642) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a643)
        & c3_1(a643)
        & ~ c1_1(a643) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a646)
        & ~ c2_1(a646)
        & ~ c0_1(a646) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c1_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c3_1(a654)
        & ~ c0_1(a654)
        & ~ c1_1(a654) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c3_1(a656)
        & c1_1(a656)
        & ~ c0_1(a656) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c1_1(a660)
        & ~ c3_1(a660)
        & ~ c0_1(a660) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c2_1(a666)
        & c0_1(a666)
        & ~ c3_1(a666) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ c2_1(a667)
        & c1_1(a667)
        & ~ c0_1(a667) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c0_1(a677)
        & ~ c3_1(a677)
        & ~ c2_1(a677) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ c2_1(a599)
        & c0_1(a599)
        & c3_1(a599) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ c3_1(a602)
        & ~ c1_1(a602)
        & c2_1(a602) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c1_1(a605)
        & ~ c3_1(a605)
        & c0_1(a605) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c1_1(a607)
        & ~ c2_1(a607)
        & c0_1(a607) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c1_1(a608)
        & c3_1(a608)
        & c0_1(a608) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a611)
        & c3_1(a611)
        & c2_1(a611) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c2_1(a614)
        & c1_1(a614)
        & c0_1(a614) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c2_1(a617)
        & ~ c1_1(a617)
        & c3_1(a617) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a618)
        & ~ c3_1(a618)
        & c1_1(a618) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c2_1(a621)
        & ~ c0_1(a621)
        & c3_1(a621) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c0_1(a623)
        & c3_1(a623)
        & c2_1(a623) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & c1_1(a626)
        & c0_1(a626)
        & c3_1(a626) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a638)
        & c1_1(a638)
        & c2_1(a638) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c2_1(a639)
        & ~ c0_1(a639)
        & c1_1(a639) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a640)
        & c1_1(a640)
        & c0_1(a640) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a644)
        & ~ c3_1(a644)
        & c0_1(a644) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ c2_1(a647)
        & ~ c1_1(a647)
        & c0_1(a647) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & c2_1(a651) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ c2_1(a653)
        & c3_1(a653)
        & c1_1(a653) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c1_1(a658)
        & c2_1(a658)
        & c3_1(a658) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ~ c0_1(a662)
        & c1_1(a662)
        & c2_1(a662) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a663)
        & ~ c1_1(a663)
        & c3_1(a663) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ c0_1(a665)
        & c2_1(a665)
        & c3_1(a665) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & c0_1(a669)
        & ~ c2_1(a669)
        & c1_1(a669) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c1_1(a670)
        & ~ c0_1(a670)
        & c2_1(a670) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ c1_1(a671)
        & c3_1(a671)
        & c0_1(a671) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c0_1(a672)
        & ~ c2_1(a672)
        & c3_1(a672) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & c3_1(a673)
        & ~ c0_1(a673)
        & c1_1(a673) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & c2_1(a674)
        & ~ c1_1(a674)
        & c0_1(a674) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & c1_1(a675)
        & ~ c2_1(a675)
        & c3_1(a675) ) )
    & ( ! [X0] :
          ( c2_1(X0)
          | ~ c3_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c2_1(X1)
          | c0_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X3] :
          ( c0_1(X3)
          | ~ c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp33
      | hskp34
      | hskp2 )
    & ( ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c1_1(X7)
          | c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp35
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp4
      | hskp36 )
    & ( hskp5
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp37 )
    & ( ! [X13] :
          ( ~ c2_1(X13)
          | c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp38
      | ! [X16] :
          ( c2_1(X16)
          | c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | hskp6
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp7
      | hskp39 )
    & ( hskp8
      | ! [X21] :
          ( c2_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ c3_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c3_1(X25)
          | ~ c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | hskp40
      | hskp10 )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp11
      | ! [X27] :
          ( c2_1(X27)
          | c1_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | ~ c2_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | hskp41
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp42
      | ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp43
      | hskp12
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp44
      | hskp13
      | ! [X45] :
          ( c0_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp45 )
    & ( hskp14
      | hskp15
      | ! [X48] :
          ( ~ c2_1(X48)
          | c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp46 )
    & ( ! [X54] :
          ( c2_1(X54)
          | c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | hskp9 )
    & ( hskp36
      | ! [X57] :
          ( ~ c0_1(X57)
          | c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp9
      | hskp19 )
    & ( ! [X64] :
          ( ~ c2_1(X64)
          | c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp47
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X67] :
          ( c2_1(X67)
          | c0_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp48
      | ! [X70] :
          ( c1_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp49 )
    & ( ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | hskp50
      | hskp22 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c0_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 )
      | hskp51
      | ! [X74] :
          ( ~ c1_1(X74)
          | c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp25
      | ! [X77] :
          ( c3_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp52 )
    & ( hskp53
      | hskp17
      | ! [X78] :
          ( c0_1(X78)
          | c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp37
      | hskp54
      | ! [X79] :
          ( c3_1(X79)
          | ~ c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp55
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp40
      | hskp28 )
    & ( hskp55
      | ! [X81] :
          ( c2_1(X81)
          | ~ c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c2_1(X83)
          | c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp56
      | ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c0_1(X85)
          | c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3
      | hskp29 )
    & ( hskp42
      | ! [X86] :
          ( ~ c3_1(X86)
          | c0_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp57
      | ! [X88] :
          ( c1_1(X88)
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp58
      | hskp41 )
    & ( hskp59
      | hskp30 )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | hskp31
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp33
      | hskp60
      | hskp61 )
    & ( hskp62
      | hskp63
      | ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp64
      | hskp65
      | hskp66 )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | hskp55
      | ! [X95] :
          ( c1_1(X95)
          | c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp32
      | hskp30
      | ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ! [X94,X95] :
      ( ~ c3_1(X94)
      | ~ c0_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | hskp55
      | c1_1(X95)
      | c0_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp64
    | hskp65
    | hskp66 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X93] :
      ( hskp62
      | hskp63
      | c1_1(X93)
      | c3_1(X93)
      | c2_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp33
    | hskp60
    | hskp61 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp59
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X90] :
      ( c2_1(X90)
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | hskp58
      | hskp41 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X88,X89] :
      ( hskp57
      | c1_1(X88)
      | ~ c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X86,X87] :
      ( hskp42
      | ~ c3_1(X86)
      | c0_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X85] :
      ( c0_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp3
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X83,X84] :
      ( c2_1(X83)
      | c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp56
      | c2_1(X84)
      | ~ c1_1(X84)
      | c3_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X80] :
      ( hskp26
      | hskp55
      | c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X78] :
      ( hskp53
      | hskp17
      | c0_1(X78)
      | c1_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X77] :
      ( hskp25
      | c3_1(X77)
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp52 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X76,X75] :
      ( ~ c0_1(X75)
      | ~ c1_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | c2_1(X76)
      | c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X72] :
      ( c1_1(X72)
      | ~ c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | hskp23
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X68,X69,X67] :
      ( c2_1(X67)
      | c0_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c1_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | c0_1(X69)
      | c2_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X65,X64] :
      ( ~ c2_1(X64)
      | c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ( hskp18
    | hskp9
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c2_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X56,X54,X55] :
      ( c2_1(X54)
      | c1_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | c3_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X52,X53] :
      ( ~ c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp46 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X50,X51,X49] :
      ( c3_1(X49)
      | c1_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | c0_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X40,X38,X39] :
      ( ~ c2_1(X38)
      | ~ c1_1(X38)
      | c0_1(X38)
      | ~ ndr1_0
      | ~ c2_1(X39)
      | c1_1(X39)
      | c0_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X36,X37,X35] :
      ( c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | c0_1(X37)
      | ~ c3_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X34,X33] :
      ( hskp42
      | c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X31,X32] :
      ( ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | hskp41
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | c2_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X26,X27] :
      ( ~ c3_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | hskp11
      | c2_1(X27)
      | c1_1(X27)
      | c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X24,X22,X23] :
      ( c2_1(X22)
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | c1_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | c3_1(X24)
      | c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X18,X19] :
      ( ~ c1_1(X18)
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | hskp6
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X16,X17] :
      ( hskp38
      | c2_1(X16)
      | c1_1(X16)
      | c0_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c0_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X8,X9,X7] :
      ( ~ c1_1(X7)
      | c0_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c3_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X6,X4,X5] :
      ( c2_1(X4)
      | ~ c0_1(X4)
      | c1_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ( hskp33
    | hskp34
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp66
    | c3_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp66
    | ~ c2_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp66
    | c1_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp65
    | c0_1(a674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp65
    | ~ c1_1(a674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp65
    | c2_1(a674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp64
    | c1_1(a673) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp64
    | ~ c0_1(a673) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp64
    | c3_1(a673) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp63
    | c3_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp63
    | ~ c2_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp63
    | ~ c0_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp62
    | c0_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp62
    | c3_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp62
    | ~ c1_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp61
    | c2_1(a670) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp61
    | ~ c0_1(a670) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp61
    | ~ c1_1(a670) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp60
    | c1_1(a669) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp60
    | ~ c2_1(a669) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp60
    | c0_1(a669) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp59
    | c3_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp59
    | c2_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp59
    | ~ c0_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp58
    | c3_1(a663) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp58
    | ~ c1_1(a663) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp58
    | ~ c0_1(a663) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp57
    | c2_1(a662) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp57
    | c1_1(a662) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp57
    | ~ c0_1(a662) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp56
    | c3_1(a658) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp56
    | c2_1(a658) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp56
    | ~ c1_1(a658) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp55
    | c1_1(a653) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp55
    | c3_1(a653) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp55
    | ~ c2_1(a653) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp53
    | c0_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp53
    | ~ c2_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp53
    | c3_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp52
    | c0_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp52
    | ~ c1_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp52
    | ~ c2_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp46
    | c3_1(a626) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp46
    | c0_1(a626) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp46
    | c1_1(a626) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp42
    | c1_1(a618) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp42
    | ~ c3_1(a618) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp42
    | ~ c2_1(a618) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp41
    | c3_1(a617) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp41
    | ~ c1_1(a617) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp41
    | c2_1(a617) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp38
    | c0_1(a608) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp38
    | c3_1(a608) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp34
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp33
    | c3_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp33
    | c0_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp33
    | ~ c2_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp33
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp30
    | ~ c3_1(a666) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp30
    | c0_1(a666) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp30
    | ~ c2_1(a666) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    ( ~ hskp29
    | ~ c0_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    ( ~ hskp29
    | ~ c3_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f216,plain,
    ( ~ hskp29
    | ~ c1_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f226,plain,
    ( ~ hskp26
    | ~ c2_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f227,plain,
    ( ~ hskp26
    | c3_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f228,plain,
    ( ~ hskp26
    | ~ c1_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f231,plain,
    ( ~ hskp25
    | ~ c2_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f232,plain,
    ( ~ hskp25
    | c3_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f234,plain,
    ( ~ hskp24
    | ~ c1_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f235,plain,
    ( ~ hskp24
    | c3_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f236,plain,
    ( ~ hskp24
    | ~ c0_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f238,plain,
    ( ~ hskp23
    | ~ c0_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f239,plain,
    ( ~ hskp23
    | c3_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f240,plain,
    ( ~ hskp23
    | c2_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f250,plain,
    ( ~ hskp20
    | ~ c3_1(a635) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f251,plain,
    ( ~ hskp20
    | ~ c2_1(a635) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f252,plain,
    ( ~ hskp20
    | ~ c1_1(a635) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f254,plain,
    ( ~ hskp19
    | ~ c3_1(a634) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f255,plain,
    ( ~ hskp19
    | ~ c0_1(a634) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f256,plain,
    ( ~ hskp19
    | ~ c1_1(a634) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f258,plain,
    ( ~ hskp18
    | ~ c1_1(a632) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f259,plain,
    ( ~ hskp18
    | c3_1(a632) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f260,plain,
    ( ~ hskp18
    | c0_1(a632) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f262,plain,
    ( ~ hskp17
    | ~ c1_1(a628) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f263,plain,
    ( ~ hskp17
    | ~ c2_1(a628) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f264,plain,
    ( ~ hskp17
    | c3_1(a628) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f286,plain,
    ( ~ hskp11
    | ~ c2_1(a616) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f287,plain,
    ( ~ hskp11
    | c1_1(a616) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f288,plain,
    ( ~ hskp11
    | c0_1(a616) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f294,plain,
    ( ~ hskp9
    | ~ c3_1(a613) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f295,plain,
    ( ~ hskp9
    | c2_1(a613) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f296,plain,
    ( ~ hskp9
    | c1_1(a613) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f306,plain,
    ( ~ hskp6
    | ~ c1_1(a609) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f307,plain,
    ( ~ hskp6
    | ~ c0_1(a609) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f308,plain,
    ( ~ hskp6
    | c2_1(a609) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f310,plain,
    ( ~ hskp5
    | ~ c3_1(a606) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f311,plain,
    ( ~ hskp5
    | c2_1(a606) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f312,plain,
    ( ~ hskp5
    | ~ c0_1(a606) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f318,plain,
    ( ~ hskp3
    | ~ c3_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f319,plain,
    ( ~ hskp3
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f320,plain,
    ( ~ hskp3
    | c0_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f325,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f340,plain,
    ( hskp3
    | c0_1(a603) ),
    inference(consistent_polarity_flipping,[],[f320]) ).

fof(f341,plain,
    ( hskp3
    | ~ c1_1(a603) ),
    inference(consistent_polarity_flipping,[],[f319]) ).

fof(f342,plain,
    ( hskp3
    | ~ c3_1(a603) ),
    inference(consistent_polarity_flipping,[],[f318]) ).

fof(f347,plain,
    ( ~ hskp5
    | ~ c2_1(a606) ),
    inference(consistent_polarity_flipping,[],[f311]) ).

fof(f349,plain,
    ( hskp6
    | ~ c2_1(a609) ),
    inference(consistent_polarity_flipping,[],[f308]) ).

fof(f350,plain,
    ( hskp6
    | ~ c0_1(a609) ),
    inference(consistent_polarity_flipping,[],[f307]) ).

fof(f351,plain,
    ( hskp6
    | ~ c1_1(a609) ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f355,plain,
    ( hskp9
    | c1_1(a613) ),
    inference(consistent_polarity_flipping,[],[f296]) ).

fof(f356,plain,
    ( hskp9
    | ~ c2_1(a613) ),
    inference(consistent_polarity_flipping,[],[f295]) ).

fof(f357,plain,
    ( hskp9
    | ~ c3_1(a613) ),
    inference(consistent_polarity_flipping,[],[f294]) ).

fof(f360,plain,
    ( hskp11
    | c0_1(a616) ),
    inference(consistent_polarity_flipping,[],[f288]) ).

fof(f361,plain,
    ( hskp11
    | c1_1(a616) ),
    inference(consistent_polarity_flipping,[],[f287]) ).

fof(f362,plain,
    ( hskp11
    | c2_1(a616) ),
    inference(consistent_polarity_flipping,[],[f286]) ).

fof(f370,plain,
    ( ~ hskp17
    | c2_1(a628) ),
    inference(consistent_polarity_flipping,[],[f263]) ).

fof(f372,plain,
    ( hskp19
    | ~ c1_1(a634) ),
    inference(consistent_polarity_flipping,[],[f256]) ).

fof(f373,plain,
    ( hskp19
    | ~ c0_1(a634) ),
    inference(consistent_polarity_flipping,[],[f255]) ).

fof(f374,plain,
    ( hskp19
    | ~ c3_1(a634) ),
    inference(consistent_polarity_flipping,[],[f254]) ).

fof(f375,plain,
    ( ~ hskp20
    | c2_1(a635) ),
    inference(consistent_polarity_flipping,[],[f251]) ).

fof(f381,plain,
    ( ~ hskp23
    | ~ c2_1(a642) ),
    inference(consistent_polarity_flipping,[],[f240]) ).

fof(f382,plain,
    ( ~ hskp25
    | c2_1(a646) ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f384,plain,
    ( hskp26
    | ~ c1_1(a652) ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f385,plain,
    ( hskp26
    | c3_1(a652) ),
    inference(consistent_polarity_flipping,[],[f227]) ).

fof(f386,plain,
    ( hskp26
    | c2_1(a652) ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f388,plain,
    ( hskp29
    | ~ c1_1(a660) ),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f389,plain,
    ( hskp29
    | ~ c3_1(a660) ),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f390,plain,
    ( hskp29
    | ~ c0_1(a660) ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f392,plain,
    ( hskp30
    | c2_1(a666) ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f393,plain,
    ( hskp30
    | c0_1(a666) ),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f394,plain,
    ( hskp30
    | ~ c3_1(a666) ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f403,plain,
    ( ~ hskp33
    | c2_1(a599) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f419,plain,
    ( ~ hskp41
    | ~ c2_1(a617) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f420,plain,
    ( ~ hskp42
    | c2_1(a618) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f434,plain,
    ( hskp46
    | c1_1(a626) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f435,plain,
    ( hskp46
    | c0_1(a626) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f436,plain,
    ( hskp46
    | c3_1(a626) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f448,plain,
    ( ~ hskp52
    | c2_1(a647) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f450,plain,
    ( hskp53
    | c3_1(a648) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f451,plain,
    ( hskp53
    | c2_1(a648) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f452,plain,
    ( hskp53
    | c0_1(a648) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f454,plain,
    ( ~ hskp55
    | c2_1(a653) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f456,plain,
    ( hskp56
    | ~ c1_1(a658) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f457,plain,
    ( hskp56
    | ~ c2_1(a658) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f458,plain,
    ( hskp56
    | c3_1(a658) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f459,plain,
    ( ~ hskp57
    | ~ c2_1(a662) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f461,plain,
    ( hskp58
    | ~ c0_1(a663) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f462,plain,
    ( hskp58
    | ~ c1_1(a663) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f463,plain,
    ( hskp58
    | c3_1(a663) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f464,plain,
    ( ~ hskp59
    | ~ c2_1(a665) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f466,plain,
    ( hskp60
    | c0_1(a669) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f467,plain,
    ( hskp60
    | c2_1(a669) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f468,plain,
    ( hskp60
    | c1_1(a669) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f470,plain,
    ( hskp61
    | ~ c1_1(a670) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f471,plain,
    ( hskp61
    | ~ c0_1(a670) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f472,plain,
    ( hskp61
    | ~ c2_1(a670) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f474,plain,
    ( hskp62
    | ~ c1_1(a671) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f475,plain,
    ( hskp62
    | c3_1(a671) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f476,plain,
    ( hskp62
    | c0_1(a671) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f477,plain,
    ( ~ hskp63
    | c2_1(a672) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f479,plain,
    ( hskp64
    | c3_1(a673) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f480,plain,
    ( hskp64
    | ~ c0_1(a673) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f481,plain,
    ( hskp64
    | c1_1(a673) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f482,plain,
    ( ~ hskp65
    | ~ c2_1(a674) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f483,plain,
    ( ~ hskp66
    | c2_1(a675) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f484,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f486,plain,
    ! [X6,X4,X5] :
      ( ~ c2_1(X4)
      | ~ c0_1(X4)
      | c1_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c3_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f487,plain,
    ! [X8,X9,X7] :
      ( ~ c1_1(X7)
      | c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c3_1(X8)
      | c2_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f492,plain,
    ! [X16,X17] :
      ( hskp38
      | ~ c2_1(X16)
      | c1_1(X16)
      | c0_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c0_1(X17)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f493,plain,
    ! [X18,X19] :
      ( ~ c1_1(X18)
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ hskp6
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f496,plain,
    ! [X24,X22,X23] :
      ( ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | c1_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | c3_1(X24)
      | c0_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f498,plain,
    ! [X26,X27] :
      ( ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ hskp11
      | ~ c2_1(X27)
      | c1_1(X27)
      | c3_1(X27)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f500,plain,
    ! [X31,X32] :
      ( ~ c1_1(X31)
      | ~ c0_1(X31)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | hskp41
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f501,plain,
    ! [X34,X33] :
      ( hskp42
      | c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | ~ c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f502,plain,
    ! [X36,X37,X35] :
      ( c1_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | c0_1(X37)
      | ~ c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f503,plain,
    ! [X40,X38,X39] :
      ( c2_1(X38)
      | ~ c1_1(X38)
      | c0_1(X38)
      | ~ ndr1_0
      | c2_1(X39)
      | c1_1(X39)
      | c0_1(X39)
      | ~ ndr1_0
      | c2_1(X40)
      | ~ c3_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f509,plain,
    ! [X50,X51,X49] :
      ( c3_1(X49)
      | c1_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | c0_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f510,plain,
    ! [X52,X53] :
      ( ~ c1_1(X52)
      | ~ c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ hskp46 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f511,plain,
    ! [X56,X54,X55] :
      ( ~ c2_1(X54)
      | c1_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c3_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f515,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | c2_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f516,plain,
    ( hskp18
    | ~ hskp9
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f517,plain,
    ! [X65,X64] :
      ( c2_1(X64)
      | c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f519,plain,
    ! [X68,X69,X67] :
      ( ~ c2_1(X67)
      | c0_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c1_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | c0_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f521,plain,
    ! [X72] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | hskp23
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f522,plain,
    ! [X76,X75] :
      ( ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ c2_1(X76)
      | c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f523,plain,
    ! [X77] :
      ( hskp25
      | c3_1(X77)
      | ~ c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp52 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f524,plain,
    ! [X78] :
      ( ~ hskp53
      | hskp17
      | c0_1(X78)
      | c1_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f526,plain,
    ! [X80] :
      ( ~ hskp26
      | hskp55
      | c1_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f528,plain,
    ! [X83,X84] :
      ( ~ c2_1(X83)
      | c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ hskp56
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | c3_1(X84)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f529,plain,
    ! [X85] :
      ( c0_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | ~ hskp3
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f530,plain,
    ! [X90] :
      ( ~ c2_1(X90)
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | ~ hskp58
      | hskp41 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f531,plain,
    ( hskp59
    | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f533,plain,
    ( hskp33
    | ~ hskp60
    | ~ hskp61 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f534,plain,
    ! [X93] :
      ( ~ hskp62
      | hskp63
      | c1_1(X93)
      | c3_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f535,plain,
    ( ~ hskp64
    | hskp65
    | hskp66 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f537,plain,
    ! [X94,X95] :
      ( ~ c3_1(X94)
      | ~ c0_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | hskp55
      | c1_1(X95)
      | c0_1(X95)
      | ~ c3_1(X95) ),
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f539,plain,
    ! [X88,X89] :
      ( hskp57
      | c1_1(X88)
      | ~ c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f540,plain,
    ! [X86,X87] :
      ( hskp42
      | ~ c3_1(X86)
      | c0_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | c0_1(X87)
      | c1_1(X87) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f541,plain,
    ! [X83,X84] :
      ( ~ c2_1(X83)
      | c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ hskp56
      | ~ c2_1(X84)
      | ~ c1_1(X84)
      | c3_1(X84) ),
    inference(duplicate_literal_removal,[],[f528]) ).

fof(f543,plain,
    ! [X76,X75] :
      ( ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ c2_1(X76)
      | c1_1(X76)
      | ~ c3_1(X76)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f522]) ).

fof(f545,plain,
    ! [X68,X69,X67] :
      ( ~ c2_1(X67)
      | c0_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c1_1(X68)
      | c0_1(X68)
      | c3_1(X69)
      | c0_1(X69)
      | ~ c2_1(X69) ),
    inference(duplicate_literal_removal,[],[f519]) ).

fof(f546,plain,
    ! [X65,X64] :
      ( c2_1(X64)
      | c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f517]) ).

fof(f547,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | c2_1(X62)
      | ~ c1_1(X62)
      | c1_1(X63)
      | c2_1(X63)
      | ~ c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f515]) ).

fof(f550,plain,
    ! [X56,X54,X55] :
      ( ~ c2_1(X54)
      | c1_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c3_1(X55)
      | c1_1(X55)
      | c2_1(X56)
      | c3_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f511]) ).

fof(f551,plain,
    ! [X52,X53] :
      ( ~ c1_1(X52)
      | ~ c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c3_1(X53)
      | ~ hskp46 ),
    inference(duplicate_literal_removal,[],[f510]) ).

fof(f552,plain,
    ! [X50,X51,X49] :
      ( c3_1(X49)
      | c1_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | c0_1(X50)
      | c1_1(X50)
      | ~ c3_1(X51)
      | c2_1(X51)
      | c1_1(X51) ),
    inference(duplicate_literal_removal,[],[f509]) ).

fof(f555,plain,
    ! [X40,X38,X39] :
      ( c2_1(X38)
      | ~ c1_1(X38)
      | c0_1(X38)
      | ~ ndr1_0
      | c2_1(X39)
      | c1_1(X39)
      | c0_1(X39)
      | c2_1(X40)
      | ~ c3_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f503]) ).

fof(f556,plain,
    ! [X36,X37,X35] :
      ( c1_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | c0_1(X37)
      | ~ c3_1(X37)
      | c2_1(X37) ),
    inference(duplicate_literal_removal,[],[f502]) ).

fof(f557,plain,
    ! [X34,X33] :
      ( hskp42
      | c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | ~ c2_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f501]) ).

fof(f558,plain,
    ! [X31,X32] :
      ( ~ c1_1(X31)
      | ~ c0_1(X31)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | hskp41
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ c2_1(X32) ),
    inference(duplicate_literal_removal,[],[f500]) ).

fof(f560,plain,
    ! [X26,X27] :
      ( ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ hskp11
      | ~ c2_1(X27)
      | c1_1(X27)
      | c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f498]) ).

fof(f561,plain,
    ! [X24,X22,X23] :
      ( ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | c1_1(X23)
      | ~ c0_1(X23)
      | c3_1(X24)
      | c0_1(X24)
      | ~ c2_1(X24) ),
    inference(duplicate_literal_removal,[],[f496]) ).

fof(f562,plain,
    ! [X18,X19] :
      ( ~ c1_1(X18)
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ hskp6
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ c3_1(X19) ),
    inference(duplicate_literal_removal,[],[f493]) ).

fof(f563,plain,
    ! [X16,X17] :
      ( hskp38
      | ~ c2_1(X16)
      | c1_1(X16)
      | c0_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c0_1(X17) ),
    inference(duplicate_literal_removal,[],[f492]) ).

fof(f566,plain,
    ! [X8,X9,X7] :
      ( ~ c1_1(X7)
      | c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c3_1(X8)
      | c2_1(X8)
      | c0_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f487]) ).

fof(f567,plain,
    ! [X6,X4,X5] :
      ( ~ c2_1(X4)
      | ~ c0_1(X4)
      | c1_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c3_1(X5)
      | c2_1(X5)
      | ~ c0_1(X6)
      | c1_1(X6)
      | c2_1(X6) ),
    inference(duplicate_literal_removal,[],[f486]) ).

fof(f568,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f484]) ).

fof(f570,definition,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f574,definition,
    ( spl0_2
  <=> ! [X96] :
        ( c1_1(X96)
        | c2_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f575,plain,
    ( ! [X96] :
        ( c2_1(X96)
        | c1_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f577,definition,
    ( spl0_3
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f586,definition,
    ( spl0_5
  <=> ! [X95] :
        ( c1_1(X95)
        | ~ c3_1(X95)
        | c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f587,plain,
    ( ! [X95] :
        ( c1_1(X95)
        | ~ c3_1(X95)
        | c0_1(X95) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f589,definition,
    ( spl0_6
  <=> hskp55 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f593,definition,
    ( spl0_7
  <=> ! [X94] :
        ( ~ c3_1(X94)
        | c1_1(X94)
        | ~ c0_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f594,plain,
    ( ! [X94] :
        ( c1_1(X94)
        | ~ c3_1(X94)
        | ~ c0_1(X94) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f595,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f537,f593,f570,f589,f586]) ).

fof(f597,definition,
    ( spl0_8
  <=> hskp66 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f601,definition,
    ( spl0_9
  <=> hskp65 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f605,definition,
    ( spl0_10
  <=> hskp64 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f608,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f535,f605,f601,f597]) ).

fof(f610,definition,
    ( spl0_11
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c2_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f611,plain,
    ( ! [X93] :
        ( ~ c2_1(X93)
        | c1_1(X93)
        | c3_1(X93) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,definition,
    ( spl0_12
  <=> hskp63 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f617,definition,
    ( spl0_13
  <=> hskp62 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f534,f617,f613,f610,f570]) ).

fof(f622,definition,
    ( spl0_14
  <=> hskp61 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f626,definition,
    ( spl0_15
  <=> hskp60 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f630,definition,
    ( spl0_16
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f533,f630,f626,f622]) ).

fof(f639,definition,
    ( spl0_18
  <=> ! [X91] :
        ( c2_1(X91)
        | c0_1(X91)
        | ~ c1_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f640,plain,
    ( ! [X91] :
        ( c2_1(X91)
        | c0_1(X91)
        | ~ c1_1(X91) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f643,definition,
    ( spl0_19
  <=> hskp59 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f531,f643,f577]) ).

fof(f648,definition,
    ( spl0_20
  <=> hskp41 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f652,definition,
    ( spl0_21
  <=> hskp58 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f656,definition,
    ( spl0_22
  <=> ! [X90] :
        ( ~ c2_1(X90)
        | ~ c0_1(X90)
        | ~ c3_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f657,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | ~ c0_1(X90)
        | ~ c3_1(X90) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f658,plain,
    ( spl0_20
    | ~ spl0_21
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f530,f656,f570,f652,f648]) ).

fof(f660,definition,
    ( spl0_23
  <=> ! [X89] :
        ( ~ c0_1(X89)
        | ~ c3_1(X89)
        | ~ c1_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f661,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | ~ c3_1(X89)
        | ~ c0_1(X89) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,definition,
    ( spl0_24
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_23
    | ~ spl0_1
    | spl0_7
    | spl0_24 ),
    inference(avatar_split_clause,[],[f539,f663,f593,f570,f660]) ).

fof(f668,definition,
    ( spl0_25
  <=> ! [X87] :
        ( c3_1(X87)
        | c1_1(X87)
        | c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f669,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | c3_1(X87)
        | c0_1(X87) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,definition,
    ( spl0_26
  <=> hskp42 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f674,plain,
    ( spl0_25
    | ~ spl0_1
    | spl0_5
    | spl0_26 ),
    inference(avatar_split_clause,[],[f540,f671,f586,f570,f668]) ).

fof(f676,definition,
    ( spl0_27
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f680,definition,
    ( spl0_28
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f684,definition,
    ( spl0_29
  <=> ! [X85] :
        ( c0_1(X85)
        | ~ c3_1(X85)
        | ~ c2_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f685,plain,
    ( ! [X85] :
        ( ~ c2_1(X85)
        | ~ c3_1(X85)
        | c0_1(X85) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( ~ spl0_27
    | ~ spl0_28
    | ~ spl0_1
    | spl0_29 ),
    inference(avatar_split_clause,[],[f529,f684,f570,f680,f676]) ).

fof(f688,definition,
    ( spl0_30
  <=> ! [X84] :
        ( ~ c2_1(X84)
        | c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f689,plain,
    ( ! [X84] :
        ( ~ c2_1(X84)
        | c3_1(X84)
        | ~ c1_1(X84) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,definition,
    ( spl0_31
  <=> hskp56 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f695,definition,
    ( spl0_32
  <=> ! [X83] :
        ( ~ c2_1(X83)
        | ~ c3_1(X83)
        | c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f696,plain,
    ( ! [X83] :
        ( ~ c2_1(X83)
        | ~ c3_1(X83)
        | c1_1(X83) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( spl0_30
    | ~ spl0_31
    | ~ spl0_1
    | spl0_32 ),
    inference(avatar_split_clause,[],[f541,f695,f570,f691,f688]) ).

fof(f699,definition,
    ( spl0_33
  <=> ! [X82] :
        ( c2_1(X82)
        | c0_1(X82)
        | c3_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f700,plain,
    ( ! [X82] :
        ( c2_1(X82)
        | c0_1(X82)
        | c3_1(X82) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f716,definition,
    ( spl0_37
  <=> ! [X80] :
        ( c1_1(X80)
        | ~ c2_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f717,plain,
    ( ! [X80] :
        ( ~ c2_1(X80)
        | c1_1(X80)
        | ~ c0_1(X80) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,definition,
    ( spl0_38
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ spl0_1
    | spl0_37
    | spl0_6
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f526,f719,f589,f716,f570]) ).

fof(f733,definition,
    ( spl0_41
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f737,definition,
    ( spl0_42
  <=> hskp53 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f524,f737,f733,f586,f570]) ).

fof(f742,definition,
    ( spl0_43
  <=> hskp52 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f746,definition,
    ( spl0_44
  <=> ! [X77] :
        ( c3_1(X77)
        | ~ c0_1(X77)
        | ~ c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f747,plain,
    ( ! [X77] :
        ( ~ c2_1(X77)
        | ~ c0_1(X77)
        | c3_1(X77) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,definition,
    ( spl0_45
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f752,plain,
    ( spl0_43
    | ~ spl0_1
    | spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f523,f749,f746,f570,f742]) ).

fof(f754,definition,
    ( spl0_46
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f758,definition,
    ( spl0_47
  <=> ! [X75] :
        ( ~ c0_1(X75)
        | ~ c2_1(X75)
        | ~ c1_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f759,plain,
    ( ! [X75] :
        ( ~ c2_1(X75)
        | ~ c0_1(X75)
        | ~ c1_1(X75) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f760,plain,
    ( spl0_46
    | spl0_32
    | ~ spl0_1
    | spl0_47 ),
    inference(avatar_split_clause,[],[f543,f758,f570,f695,f754]) ).

fof(f762,definition,
    ( spl0_48
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | ~ c3_1(X74)
        | c0_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f763,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | ~ c3_1(X74)
        | c0_1(X74) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f770,definition,
    ( spl0_50
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f774,definition,
    ( spl0_51
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f778,definition,
    ( spl0_52
  <=> ! [X72] :
        ( c1_1(X72)
        | ~ c3_1(X72)
        | c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f779,plain,
    ( ! [X72] :
        ( c2_1(X72)
        | ~ c3_1(X72)
        | c1_1(X72) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f780,plain,
    ( spl0_50
    | spl0_51
    | ~ spl0_1
    | spl0_52 ),
    inference(avatar_split_clause,[],[f521,f778,f570,f774,f770]) ).

fof(f795,definition,
    ( spl0_56
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f796,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f803,definition,
    ( spl0_58
  <=> ! [X69] :
        ( c3_1(X69)
        | ~ c2_1(X69)
        | c0_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f804,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f805,plain,
    ( spl0_58
    | spl0_25
    | ~ spl0_1
    | spl0_58 ),
    inference(avatar_split_clause,[],[f545,f803,f570,f668,f803]) ).

fof(f816,definition,
    ( spl0_61
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f819,plain,
    ( spl0_61
    | spl0_44
    | ~ spl0_1
    | spl0_52 ),
    inference(avatar_split_clause,[],[f546,f778,f570,f746,f816]) ).

fof(f821,definition,
    ( spl0_62
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f825,definition,
    ( spl0_63
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f829,definition,
    ( spl0_64
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f832,plain,
    ( ~ spl0_62
    | ~ spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f516,f829,f825,f821]) ).

fof(f834,definition,
    ( spl0_65
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | ~ c1_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f835,plain,
    ( ! [X62] :
        ( c2_1(X62)
        | ~ c1_1(X62)
        | ~ c3_1(X62) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f836,plain,
    ( spl0_2
    | spl0_65
    | ~ spl0_1
    | spl0_65 ),
    inference(avatar_split_clause,[],[f547,f834,f570,f834,f574]) ).

fof(f851,plain,
    ( spl0_33
    | spl0_11
    | ~ spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f550,f610,f570,f610,f699]) ).

fof(f853,definition,
    ( spl0_69
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ spl0_69
    | spl0_7
    | ~ spl0_1
    | spl0_30 ),
    inference(avatar_split_clause,[],[f551,f688,f570,f593,f853]) ).

fof(f857,plain,
    ( spl0_52
    | spl0_5
    | ~ spl0_1
    | spl0_25 ),
    inference(avatar_split_clause,[],[f552,f668,f570,f586,f778]) ).

fof(f872,definition,
    ( spl0_73
  <=> ! [X46] :
        ( c0_1(X46)
        | c2_1(X46)
        | ~ c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f873,plain,
    ( ! [X46] :
        ( c2_1(X46)
        | c0_1(X46)
        | ~ c3_1(X46) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f885,definition,
    ( spl0_76
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | ~ c2_1(X44)
        | ~ c1_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f886,plain,
    ( ! [X44] :
        ( ~ c2_1(X44)
        | ~ c3_1(X44)
        | ~ c1_1(X44) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f904,definition,
    ( spl0_81
  <=> ! [X39] :
        ( c2_1(X39)
        | c0_1(X39)
        | c1_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f905,plain,
    ( ! [X39] :
        ( c2_1(X39)
        | c0_1(X39)
        | c1_1(X39) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f906,plain,
    ( spl0_52
    | spl0_81
    | ~ spl0_1
    | spl0_18 ),
    inference(avatar_split_clause,[],[f555,f639,f570,f904,f778]) ).

fof(f907,plain,
    ( spl0_73
    | spl0_2
    | ~ spl0_1
    | spl0_32 ),
    inference(avatar_split_clause,[],[f556,f695,f570,f574,f872]) ).

fof(f908,plain,
    ( spl0_37
    | ~ spl0_1
    | spl0_5
    | spl0_26 ),
    inference(avatar_split_clause,[],[f557,f671,f586,f570,f716]) ).

fof(f909,plain,
    ( spl0_76
    | spl0_20
    | ~ spl0_1
    | spl0_47 ),
    inference(avatar_split_clause,[],[f558,f758,f570,f648,f885]) ).

fof(f912,definition,
    ( spl0_82
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f915,plain,
    ( spl0_11
    | ~ spl0_82
    | ~ spl0_1
    | spl0_65 ),
    inference(avatar_split_clause,[],[f560,f834,f570,f912,f610]) ).

fof(f921,plain,
    ( spl0_58
    | spl0_7
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f561,f656,f570,f593,f803]) ).

fof(f937,definition,
    ( spl0_87
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f940,plain,
    ( spl0_23
    | ~ spl0_87
    | ~ spl0_1
    | spl0_23 ),
    inference(avatar_split_clause,[],[f562,f660,f570,f937,f660]) ).

fof(f942,definition,
    ( spl0_88
  <=> ! [X16] :
        ( ~ c2_1(X16)
        | c0_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f943,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c0_1(X16)
        | c1_1(X16) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f945,definition,
    ( spl0_89
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f948,plain,
    ( spl0_48
    | ~ spl0_1
    | spl0_88
    | spl0_89 ),
    inference(avatar_split_clause,[],[f563,f945,f942,f570,f762]) ).

fof(f964,plain,
    ( spl0_18
    | spl0_33
    | ~ spl0_1
    | spl0_18 ),
    inference(avatar_split_clause,[],[f566,f639,f570,f699,f639]) ).

fof(f965,plain,
    ( spl0_2
    | spl0_73
    | ~ spl0_1
    | spl0_37 ),
    inference(avatar_split_clause,[],[f567,f716,f570,f872,f574]) ).

fof(f967,definition,
    ( spl0_93
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f971,definition,
    ( spl0_94
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f974,plain,
    ( spl0_93
    | spl0_94
    | spl0_16 ),
    inference(avatar_split_clause,[],[f63,f630,f971,f967]) ).

fof(f985,definition,
    ( spl0_97
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f986,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f987,plain,
    ( spl0_97
    | spl0_73
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f568,f656,f570,f872,f985]) ).

fof(f989,definition,
    ( spl0_98
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f992,plain,
    ( spl0_98
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f66,f597,f989]) ).

fof(f994,definition,
    ( spl0_99
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f996,plain,
    ( c2_1(a675)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f997,plain,
    ( spl0_99
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f483,f597,f994]) ).

fof(f999,definition,
    ( spl0_100
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f1001,plain,
    ( c1_1(a675)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1002,plain,
    ( spl0_100
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f68,f597,f999]) ).

fof(f1005,definition,
    ( spl0_101
  <=> c0_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f1008,plain,
    ( spl0_101
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f70,f601,f1005]) ).

fof(f1010,definition,
    ( spl0_102
  <=> c1_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ spl0_102
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f71,f601,f1010]) ).

fof(f1015,definition,
    ( spl0_103
  <=> c2_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ c2_1(a674)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( ~ spl0_103
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f482,f601,f1015]) ).

fof(f1021,definition,
    ( spl0_104
  <=> c1_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f1023,plain,
    ( c1_1(a673)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1024,plain,
    ( spl0_104
    | spl0_10 ),
    inference(avatar_split_clause,[],[f481,f605,f1021]) ).

fof(f1026,definition,
    ( spl0_105
  <=> c0_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f1029,plain,
    ( ~ spl0_105
    | spl0_10 ),
    inference(avatar_split_clause,[],[f480,f605,f1026]) ).

fof(f1031,definition,
    ( spl0_106
  <=> c3_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f1034,plain,
    ( spl0_106
    | spl0_10 ),
    inference(avatar_split_clause,[],[f479,f605,f1031]) ).

fof(f1037,definition,
    ( spl0_107
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f1040,plain,
    ( spl0_107
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f78,f613,f1037]) ).

fof(f1042,definition,
    ( spl0_108
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f1044,plain,
    ( c2_1(a672)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1045,plain,
    ( spl0_108
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f477,f613,f1042]) ).

fof(f1047,definition,
    ( spl0_109
  <=> c0_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f1050,plain,
    ( ~ spl0_109
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f80,f613,f1047]) ).

fof(f1053,definition,
    ( spl0_110
  <=> c0_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f1056,plain,
    ( spl0_110
    | spl0_13 ),
    inference(avatar_split_clause,[],[f476,f617,f1053]) ).

fof(f1058,definition,
    ( spl0_111
  <=> c3_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f1061,plain,
    ( spl0_111
    | spl0_13 ),
    inference(avatar_split_clause,[],[f475,f617,f1058]) ).

fof(f1063,definition,
    ( spl0_112
  <=> c1_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f1065,plain,
    ( ~ c1_1(a671)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1066,plain,
    ( ~ spl0_112
    | spl0_13 ),
    inference(avatar_split_clause,[],[f474,f617,f1063]) ).

fof(f1069,definition,
    ( spl0_113
  <=> c2_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f1071,plain,
    ( ~ c2_1(a670)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1072,plain,
    ( ~ spl0_113
    | spl0_14 ),
    inference(avatar_split_clause,[],[f472,f622,f1069]) ).

fof(f1074,definition,
    ( spl0_114
  <=> c0_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f1077,plain,
    ( ~ spl0_114
    | spl0_14 ),
    inference(avatar_split_clause,[],[f471,f622,f1074]) ).

fof(f1079,definition,
    ( spl0_115
  <=> c1_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f1081,plain,
    ( ~ c1_1(a670)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1082,plain,
    ( ~ spl0_115
    | spl0_14 ),
    inference(avatar_split_clause,[],[f470,f622,f1079]) ).

fof(f1085,definition,
    ( spl0_116
  <=> c1_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1087,plain,
    ( c1_1(a669)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f1088,plain,
    ( spl0_116
    | spl0_15 ),
    inference(avatar_split_clause,[],[f468,f626,f1085]) ).

fof(f1090,definition,
    ( spl0_117
  <=> c2_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1092,plain,
    ( c2_1(a669)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1093,plain,
    ( spl0_117
    | spl0_15 ),
    inference(avatar_split_clause,[],[f467,f626,f1090]) ).

fof(f1095,definition,
    ( spl0_118
  <=> c0_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1098,plain,
    ( spl0_118
    | spl0_15 ),
    inference(avatar_split_clause,[],[f466,f626,f1095]) ).

fof(f1101,definition,
    ( spl0_119
  <=> c3_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1104,plain,
    ( spl0_119
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f94,f643,f1101]) ).

fof(f1106,definition,
    ( spl0_120
  <=> c2_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c2_1(a665)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_120
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f464,f643,f1106]) ).

fof(f1111,definition,
    ( spl0_121
  <=> c0_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1114,plain,
    ( ~ spl0_121
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f96,f643,f1111]) ).

fof(f1117,definition,
    ( spl0_122
  <=> c3_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1120,plain,
    ( spl0_122
    | spl0_21 ),
    inference(avatar_split_clause,[],[f463,f652,f1117]) ).

fof(f1122,definition,
    ( spl0_123
  <=> c1_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ c1_1(a663)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1125,plain,
    ( ~ spl0_123
    | spl0_21 ),
    inference(avatar_split_clause,[],[f462,f652,f1122]) ).

fof(f1127,definition,
    ( spl0_124
  <=> c0_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ spl0_124
    | spl0_21 ),
    inference(avatar_split_clause,[],[f461,f652,f1127]) ).

fof(f1133,definition,
    ( spl0_125
  <=> c2_1(a662) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1135,plain,
    ( ~ c2_1(a662)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1136,plain,
    ( ~ spl0_125
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f459,f663,f1133]) ).

fof(f1138,definition,
    ( spl0_126
  <=> c1_1(a662) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1141,plain,
    ( spl0_126
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f103,f663,f1138]) ).

fof(f1143,definition,
    ( spl0_127
  <=> c0_1(a662) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1146,plain,
    ( ~ spl0_127
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f104,f663,f1143]) ).

fof(f1149,definition,
    ( spl0_128
  <=> c3_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1152,plain,
    ( spl0_128
    | spl0_31 ),
    inference(avatar_split_clause,[],[f458,f691,f1149]) ).

fof(f1154,definition,
    ( spl0_129
  <=> c2_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1156,plain,
    ( ~ c2_1(a658)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1157,plain,
    ( ~ spl0_129
    | spl0_31 ),
    inference(avatar_split_clause,[],[f457,f691,f1154]) ).

fof(f1159,definition,
    ( spl0_130
  <=> c1_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1161,plain,
    ( ~ c1_1(a658)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1162,plain,
    ( ~ spl0_130
    | spl0_31 ),
    inference(avatar_split_clause,[],[f456,f691,f1159]) ).

fof(f1165,definition,
    ( spl0_131
  <=> c1_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1167,plain,
    ( c1_1(a653)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1168,plain,
    ( spl0_131
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f110,f589,f1165]) ).

fof(f1170,definition,
    ( spl0_132
  <=> c3_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1173,plain,
    ( spl0_132
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f111,f589,f1170]) ).

fof(f1175,definition,
    ( spl0_133
  <=> c2_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1177,plain,
    ( c2_1(a653)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1178,plain,
    ( spl0_133
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f454,f589,f1175]) ).

fof(f1197,definition,
    ( spl0_137
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1200,plain,
    ( spl0_137
    | spl0_42 ),
    inference(avatar_split_clause,[],[f452,f737,f1197]) ).

fof(f1202,definition,
    ( spl0_138
  <=> c2_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1204,plain,
    ( c2_1(a648)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1205,plain,
    ( spl0_138
    | spl0_42 ),
    inference(avatar_split_clause,[],[f451,f737,f1202]) ).

fof(f1207,definition,
    ( spl0_139
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1210,plain,
    ( spl0_139
    | spl0_42 ),
    inference(avatar_split_clause,[],[f450,f737,f1207]) ).

fof(f1213,definition,
    ( spl0_140
  <=> c0_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1216,plain,
    ( spl0_140
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f122,f742,f1213]) ).

fof(f1218,definition,
    ( spl0_141
  <=> c1_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1220,plain,
    ( ~ c1_1(a647)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1221,plain,
    ( ~ spl0_141
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f123,f742,f1218]) ).

fof(f1223,definition,
    ( spl0_142
  <=> c2_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1225,plain,
    ( c2_1(a647)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1226,plain,
    ( spl0_142
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f448,f742,f1223]) ).

fof(f1309,definition,
    ( spl0_158
  <=> c3_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1312,plain,
    ( spl0_158
    | spl0_69 ),
    inference(avatar_split_clause,[],[f436,f853,f1309]) ).

fof(f1314,definition,
    ( spl0_159
  <=> c0_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1317,plain,
    ( spl0_159
    | spl0_69 ),
    inference(avatar_split_clause,[],[f435,f853,f1314]) ).

fof(f1319,definition,
    ( spl0_160
  <=> c1_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1321,plain,
    ( c1_1(a626)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f1322,plain,
    ( spl0_160
    | spl0_69 ),
    inference(avatar_split_clause,[],[f434,f853,f1319]) ).

fof(f1373,definition,
    ( spl0_170
  <=> c1_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1376,plain,
    ( spl0_170
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f162,f671,f1373]) ).

fof(f1378,definition,
    ( spl0_171
  <=> c3_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1381,plain,
    ( ~ spl0_171
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f163,f671,f1378]) ).

fof(f1383,definition,
    ( spl0_172
  <=> c2_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1385,plain,
    ( c2_1(a618)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f1386,plain,
    ( spl0_172
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f420,f671,f1383]) ).

fof(f1389,definition,
    ( spl0_173
  <=> c3_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1392,plain,
    ( spl0_173
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f166,f648,f1389]) ).

fof(f1394,definition,
    ( spl0_174
  <=> c1_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1396,plain,
    ( ~ c1_1(a617)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1397,plain,
    ( ~ spl0_174
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f167,f648,f1394]) ).

fof(f1399,definition,
    ( spl0_175
  <=> c2_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1401,plain,
    ( ~ c2_1(a617)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f1399]) ).

fof(f1402,plain,
    ( ~ spl0_175
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f419,f648,f1399]) ).

fof(f1437,definition,
    ( spl0_182
  <=> c0_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1440,plain,
    ( spl0_182
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f178,f945,f1437]) ).

fof(f1442,definition,
    ( spl0_183
  <=> c3_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1444,plain,
    ( c3_1(a608)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1445,plain,
    ( spl0_183
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f179,f945,f1442]) ).

fof(f1515,plain,
    ( spl0_1
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f197,f971,f570]) ).

fof(f1517,definition,
    ( spl0_197
  <=> c3_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

fof(f1520,plain,
    ( spl0_197
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f198,f630,f1517]) ).

fof(f1522,definition,
    ( spl0_198
  <=> c0_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1525,plain,
    ( spl0_198
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f199,f630,f1522]) ).

fof(f1527,definition,
    ( spl0_199
  <=> c2_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

fof(f1529,plain,
    ( c2_1(a599)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1527]) ).

fof(f1530,plain,
    ( spl0_199
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f403,f630,f1527]) ).

fof(f1531,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f201,f630,f570]) ).

fof(f1565,definition,
    ( spl0_206
  <=> c3_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1568,plain,
    ( ~ spl0_206
    | spl0_3 ),
    inference(avatar_split_clause,[],[f394,f577,f1565]) ).

fof(f1570,definition,
    ( spl0_207
  <=> c0_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1573,plain,
    ( spl0_207
    | spl0_3 ),
    inference(avatar_split_clause,[],[f393,f577,f1570]) ).

fof(f1575,definition,
    ( spl0_208
  <=> c2_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1577,plain,
    ( c2_1(a666)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1575]) ).

fof(f1578,plain,
    ( spl0_208
    | spl0_3 ),
    inference(avatar_split_clause,[],[f392,f577,f1575]) ).

fof(f1581,definition,
    ( spl0_209
  <=> c0_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1584,plain,
    ( ~ spl0_209
    | spl0_27 ),
    inference(avatar_split_clause,[],[f390,f676,f1581]) ).

fof(f1586,definition,
    ( spl0_210
  <=> c3_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1589,plain,
    ( ~ spl0_210
    | spl0_27 ),
    inference(avatar_split_clause,[],[f389,f676,f1586]) ).

fof(f1591,definition,
    ( spl0_211
  <=> c1_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1593,plain,
    ( ~ c1_1(a660)
    | spl0_211 ),
    inference(avatar_component_clause,[],[f1591]) ).

fof(f1594,plain,
    ( ~ spl0_211
    | spl0_27 ),
    inference(avatar_split_clause,[],[f388,f676,f1591]) ).

fof(f1629,definition,
    ( spl0_218
  <=> c2_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1631,plain,
    ( c2_1(a652)
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1632,plain,
    ( spl0_218
    | spl0_38 ),
    inference(avatar_split_clause,[],[f386,f719,f1629]) ).

fof(f1634,definition,
    ( spl0_219
  <=> c3_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1637,plain,
    ( spl0_219
    | spl0_38 ),
    inference(avatar_split_clause,[],[f385,f719,f1634]) ).

fof(f1639,definition,
    ( spl0_220
  <=> c1_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1642,plain,
    ( ~ spl0_220
    | spl0_38 ),
    inference(avatar_split_clause,[],[f384,f719,f1639]) ).

fof(f1650,definition,
    ( spl0_222
  <=> c2_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1652,plain,
    ( c2_1(a646)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1650]) ).

fof(f1653,plain,
    ( spl0_222
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f382,f749,f1650]) ).

fof(f1655,definition,
    ( spl0_223
  <=> c3_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1658,plain,
    ( spl0_223
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f232,f749,f1655]) ).

fof(f1661,definition,
    ( spl0_224
  <=> c1_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1663,plain,
    ( ~ c1_1(a643)
    | spl0_224 ),
    inference(avatar_component_clause,[],[f1661]) ).

fof(f1664,plain,
    ( ~ spl0_224
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f234,f770,f1661]) ).

fof(f1666,definition,
    ( spl0_225
  <=> c3_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

fof(f1669,plain,
    ( spl0_225
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f235,f770,f1666]) ).

fof(f1671,definition,
    ( spl0_226
  <=> c0_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).

fof(f1674,plain,
    ( ~ spl0_226
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f236,f770,f1671]) ).

fof(f1677,definition,
    ( spl0_227
  <=> c0_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f1680,plain,
    ( ~ spl0_227
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f238,f774,f1677]) ).

fof(f1682,definition,
    ( spl0_228
  <=> c3_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

fof(f1685,plain,
    ( spl0_228
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f239,f774,f1682]) ).

fof(f1687,definition,
    ( spl0_229
  <=> c2_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).

fof(f1689,plain,
    ( ~ c2_1(a642)
    | spl0_229 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f1690,plain,
    ( ~ spl0_229
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f381,f774,f1687]) ).

fof(f1725,definition,
    ( spl0_236
  <=> c3_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).

fof(f1728,plain,
    ( ~ spl0_236
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f250,f816,f1725]) ).

fof(f1730,definition,
    ( spl0_237
  <=> c2_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).

fof(f1732,plain,
    ( c2_1(a635)
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1733,plain,
    ( spl0_237
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f375,f816,f1730]) ).

fof(f1735,definition,
    ( spl0_238
  <=> c1_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).

fof(f1737,plain,
    ( ~ c1_1(a635)
    | spl0_238 ),
    inference(avatar_component_clause,[],[f1735]) ).

fof(f1738,plain,
    ( ~ spl0_238
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f252,f816,f1735]) ).

fof(f1741,definition,
    ( spl0_239
  <=> c3_1(a634) ),
    introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).

fof(f1744,plain,
    ( ~ spl0_239
    | spl0_62 ),
    inference(avatar_split_clause,[],[f374,f821,f1741]) ).

fof(f1746,definition,
    ( spl0_240
  <=> c0_1(a634) ),
    introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).

fof(f1749,plain,
    ( ~ spl0_240
    | spl0_62 ),
    inference(avatar_split_clause,[],[f373,f821,f1746]) ).

fof(f1751,definition,
    ( spl0_241
  <=> c1_1(a634) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1753,plain,
    ( ~ c1_1(a634)
    | spl0_241 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f1754,plain,
    ( ~ spl0_241
    | spl0_62 ),
    inference(avatar_split_clause,[],[f372,f821,f1751]) ).

fof(f1757,definition,
    ( spl0_242
  <=> c1_1(a632) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1759,plain,
    ( ~ c1_1(a632)
    | spl0_242 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f1760,plain,
    ( ~ spl0_242
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f258,f829,f1757]) ).

fof(f1762,definition,
    ( spl0_243
  <=> c3_1(a632) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1765,plain,
    ( spl0_243
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f259,f829,f1762]) ).

fof(f1767,definition,
    ( spl0_244
  <=> c0_1(a632) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1770,plain,
    ( spl0_244
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f260,f829,f1767]) ).

fof(f1773,definition,
    ( spl0_245
  <=> c1_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1775,plain,
    ( ~ c1_1(a628)
    | spl0_245 ),
    inference(avatar_component_clause,[],[f1773]) ).

fof(f1776,plain,
    ( ~ spl0_245
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f262,f733,f1773]) ).

fof(f1778,definition,
    ( spl0_246
  <=> c2_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

fof(f1780,plain,
    ( c2_1(a628)
    | ~ spl0_246 ),
    inference(avatar_component_clause,[],[f1778]) ).

fof(f1781,plain,
    ( spl0_246
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f370,f733,f1778]) ).

fof(f1783,definition,
    ( spl0_247
  <=> c3_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

fof(f1786,plain,
    ( spl0_247
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f264,f733,f1783]) ).

fof(f1869,definition,
    ( spl0_263
  <=> c2_1(a616) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1871,plain,
    ( c2_1(a616)
    | ~ spl0_263 ),
    inference(avatar_component_clause,[],[f1869]) ).

fof(f1872,plain,
    ( spl0_263
    | spl0_82 ),
    inference(avatar_split_clause,[],[f362,f912,f1869]) ).

fof(f1874,definition,
    ( spl0_264
  <=> c1_1(a616) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f1877,plain,
    ( spl0_264
    | spl0_82 ),
    inference(avatar_split_clause,[],[f361,f912,f1874]) ).

fof(f1879,definition,
    ( spl0_265
  <=> c0_1(a616) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f1882,plain,
    ( spl0_265
    | spl0_82 ),
    inference(avatar_split_clause,[],[f360,f912,f1879]) ).

fof(f1901,definition,
    ( spl0_269
  <=> c3_1(a613) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f1904,plain,
    ( ~ spl0_269
    | spl0_63 ),
    inference(avatar_split_clause,[],[f357,f825,f1901]) ).

fof(f1906,definition,
    ( spl0_270
  <=> c2_1(a613) ),
    introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).

fof(f1908,plain,
    ( ~ c2_1(a613)
    | spl0_270 ),
    inference(avatar_component_clause,[],[f1906]) ).

fof(f1909,plain,
    ( ~ spl0_270
    | spl0_63 ),
    inference(avatar_split_clause,[],[f356,f825,f1906]) ).

fof(f1911,definition,
    ( spl0_271
  <=> c1_1(a613) ),
    introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).

fof(f1914,plain,
    ( spl0_271
    | spl0_63 ),
    inference(avatar_split_clause,[],[f355,f825,f1911]) ).

fof(f1949,definition,
    ( spl0_278
  <=> c1_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).

fof(f1951,plain,
    ( ~ c1_1(a609)
    | spl0_278 ),
    inference(avatar_component_clause,[],[f1949]) ).

fof(f1952,plain,
    ( ~ spl0_278
    | spl0_87 ),
    inference(avatar_split_clause,[],[f351,f937,f1949]) ).

fof(f1954,definition,
    ( spl0_279
  <=> c0_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).

fof(f1957,plain,
    ( ~ spl0_279
    | spl0_87 ),
    inference(avatar_split_clause,[],[f350,f937,f1954]) ).

fof(f1959,definition,
    ( spl0_280
  <=> c2_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).

fof(f1961,plain,
    ( ~ c2_1(a609)
    | spl0_280 ),
    inference(avatar_component_clause,[],[f1959]) ).

fof(f1962,plain,
    ( ~ spl0_280
    | spl0_87 ),
    inference(avatar_split_clause,[],[f349,f937,f1959]) ).

fof(f1965,definition,
    ( spl0_281
  <=> c3_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).

fof(f1968,plain,
    ( ~ spl0_281
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f310,f754,f1965]) ).

fof(f1970,definition,
    ( spl0_282
  <=> c2_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).

fof(f1972,plain,
    ( ~ c2_1(a606)
    | spl0_282 ),
    inference(avatar_component_clause,[],[f1970]) ).

fof(f1973,plain,
    ( ~ spl0_282
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f347,f754,f1970]) ).

fof(f1975,definition,
    ( spl0_283
  <=> c0_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

fof(f1978,plain,
    ( ~ spl0_283
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f312,f754,f1975]) ).

fof(f1997,definition,
    ( spl0_287
  <=> c3_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).

fof(f2000,plain,
    ( ~ spl0_287
    | spl0_28 ),
    inference(avatar_split_clause,[],[f342,f680,f1997]) ).

fof(f2002,definition,
    ( spl0_288
  <=> c1_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).

fof(f2004,plain,
    ( ~ c1_1(a603)
    | spl0_288 ),
    inference(avatar_component_clause,[],[f2002]) ).

fof(f2005,plain,
    ( ~ spl0_288
    | spl0_28 ),
    inference(avatar_split_clause,[],[f341,f680,f2002]) ).

fof(f2007,definition,
    ( spl0_289
  <=> c0_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).

fof(f2010,plain,
    ( spl0_289
    | spl0_28 ),
    inference(avatar_split_clause,[],[f340,f680,f2007]) ).

fof(f2027,plain,
    ( spl0_1
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f325,f967,f570]) ).

fof(f2088,plain,
    ( c1_1(a617)
    | ~ c0_1(a617)
    | ~ spl0_2
    | spl0_175 ),
    inference(resolution,[],[f575,f1401]) ).

fof(f2099,plain,
    ( c1_1(a658)
    | ~ c0_1(a658)
    | ~ spl0_2
    | spl0_129 ),
    inference(resolution,[],[f575,f1156]) ).

fof(f2105,plain,
    ( c1_1(a674)
    | ~ c0_1(a674)
    | ~ spl0_2
    | spl0_103 ),
    inference(resolution,[],[f575,f1017]) ).

fof(f2108,definition,
    ( spl0_299
  <=> c0_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).

fof(f2113,definition,
    ( spl0_300
  <=> c0_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).

fof(f2118,definition,
    ( spl0_301
  <=> c0_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

fof(f2128,definition,
    ( spl0_303
  <=> c0_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).

fof(f2133,definition,
    ( spl0_304
  <=> c0_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).

fof(f2158,definition,
    ( spl0_309
  <=> c0_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).

fof(f2219,plain,
    ( ~ c3_1(a663)
    | c0_1(a663)
    | ~ spl0_5
    | spl0_123 ),
    inference(resolution,[],[f587,f1124]) ).

fof(f2221,plain,
    ( ~ c3_1(a670)
    | c0_1(a670)
    | ~ spl0_5
    | spl0_115 ),
    inference(resolution,[],[f587,f1081]) ).

fof(f2231,definition,
    ( spl0_314
  <=> c3_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).

fof(f2233,plain,
    ( ~ c3_1(a670)
    | spl0_314 ),
    inference(avatar_component_clause,[],[f2231]) ).

fof(f2234,plain,
    ( spl0_114
    | ~ spl0_314
    | ~ spl0_5
    | spl0_115 ),
    inference(avatar_split_clause,[],[f2221,f1079,f586,f2231,f1074]) ).

fof(f2236,definition,
    ( spl0_315
  <=> c3_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).

fof(f2246,definition,
    ( spl0_317
  <=> c3_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).

fof(f2276,definition,
    ( spl0_323
  <=> c0_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).

fof(f2301,definition,
    ( spl0_328
  <=> c3_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).

fof(f2311,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(resolution,[],[f611,f575]) ).

fof(f2313,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f2311]) ).

fof(f2318,plain,
    ( c0_1(a606)
    | ~ c1_1(a606)
    | ~ spl0_18
    | spl0_282 ),
    inference(resolution,[],[f640,f1972]) ).

fof(f2354,plain,
    ( c0_1(a662)
    | ~ c1_1(a662)
    | ~ spl0_18
    | spl0_125 ),
    inference(resolution,[],[f640,f1135]) ).

fof(f2362,definition,
    ( spl0_330
  <=> c1_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).

fof(f2364,plain,
    ( ~ c1_1(a672)
    | spl0_330 ),
    inference(avatar_component_clause,[],[f2362]) ).

fof(f2367,definition,
    ( spl0_331
  <=> c1_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).

fof(f2369,plain,
    ( ~ c1_1(a665)
    | spl0_331 ),
    inference(avatar_component_clause,[],[f2367]) ).

fof(f2377,definition,
    ( spl0_333
  <=> c1_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).

fof(f2378,plain,
    ( c1_1(a648)
    | ~ spl0_333 ),
    inference(avatar_component_clause,[],[f2377]) ).

fof(f2402,definition,
    ( spl0_338
  <=> c1_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).

fof(f2407,definition,
    ( spl0_339
  <=> c1_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).

fof(f2412,definition,
    ( spl0_340
  <=> c1_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).

fof(f2414,plain,
    ( ~ c1_1(a642)
    | spl0_340 ),
    inference(avatar_component_clause,[],[f2412]) ).

fof(f2427,definition,
    ( spl0_343
  <=> c1_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).

fof(f2429,plain,
    ( ~ c1_1(a606)
    | spl0_343 ),
    inference(avatar_component_clause,[],[f2427]) ).

fof(f2441,plain,
    ( ~ c3_1(a672)
    | c0_1(a672)
    | ~ spl0_5
    | spl0_330 ),
    inference(resolution,[],[f2364,f587]) ).

fof(f2442,plain,
    ( ~ c3_1(a665)
    | c0_1(a665)
    | ~ spl0_5
    | spl0_331 ),
    inference(resolution,[],[f2369,f587]) ).

fof(f2443,plain,
    ( spl0_121
    | ~ spl0_119
    | ~ spl0_5
    | spl0_331 ),
    inference(avatar_split_clause,[],[f2442,f2367,f586,f1101,f1111]) ).

fof(f2457,plain,
    ( ~ c3_1(a628)
    | ~ c0_1(a628)
    | ~ spl0_7
    | spl0_245 ),
    inference(resolution,[],[f594,f1775]) ).

fof(f2503,plain,
    ( ~ spl0_323
    | ~ spl0_247
    | ~ spl0_7
    | spl0_245 ),
    inference(avatar_split_clause,[],[f2457,f1773,f593,f1783,f2276]) ).

fof(f2506,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(resolution,[],[f657,f575]) ).

fof(f2510,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2506]) ).

fof(f2513,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2510,f656,f574,f593]) ).

fof(f2523,plain,
    ( c3_1(a606)
    | c0_1(a606)
    | ~ spl0_25
    | spl0_343 ),
    inference(resolution,[],[f669,f2429]) ).

fof(f2524,plain,
    ( c3_1(a609)
    | c0_1(a609)
    | ~ spl0_25
    | spl0_278 ),
    inference(resolution,[],[f669,f1951]) ).

fof(f2537,plain,
    ( c3_1(a634)
    | c0_1(a634)
    | ~ spl0_25
    | spl0_241 ),
    inference(resolution,[],[f669,f1753]) ).

fof(f2538,plain,
    ( c3_1(a635)
    | c0_1(a635)
    | ~ spl0_25
    | spl0_238 ),
    inference(resolution,[],[f669,f1737]) ).

fof(f2547,plain,
    ( c3_1(a660)
    | c0_1(a660)
    | ~ spl0_25
    | spl0_211 ),
    inference(resolution,[],[f669,f1593]) ).

fof(f2576,plain,
    ( c3_1(a670)
    | c0_1(a670)
    | ~ spl0_25
    | spl0_115 ),
    inference(resolution,[],[f669,f1081]) ).

fof(f2585,plain,
    ( spl0_114
    | spl0_314
    | ~ spl0_25
    | spl0_115 ),
    inference(avatar_split_clause,[],[f2576,f1079,f668,f2231,f1074]) ).

fof(f2621,plain,
    ( spl0_309
    | spl0_236
    | ~ spl0_25
    | spl0_238 ),
    inference(avatar_split_clause,[],[f2538,f1735,f668,f1725,f2158]) ).

fof(f2634,plain,
    ( spl0_279
    | spl0_328
    | ~ spl0_25
    | spl0_278 ),
    inference(avatar_split_clause,[],[f2524,f1949,f668,f2301,f1954]) ).

fof(f2635,plain,
    ( spl0_283
    | spl0_281
    | ~ spl0_25
    | spl0_343 ),
    inference(avatar_split_clause,[],[f2523,f2427,f668,f1965,f1975]) ).

fof(f2653,plain,
    ( spl0_124
    | ~ spl0_122
    | ~ spl0_5
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2219,f1122,f586,f1117,f1127]) ).

fof(f2655,definition,
    ( spl0_346
  <=> c1_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).

fof(f2669,plain,
    ( spl0_109
    | ~ spl0_107
    | ~ spl0_5
    | spl0_330 ),
    inference(avatar_split_clause,[],[f2441,f2362,f586,f1037,f1047]) ).

fof(f2689,plain,
    ( ~ c3_1(a642)
    | c0_1(a642)
    | ~ spl0_5
    | spl0_340 ),
    inference(resolution,[],[f587,f2414]) ).

fof(f2690,plain,
    ( ~ c3_1(a643)
    | c0_1(a643)
    | ~ spl0_5
    | spl0_224 ),
    inference(resolution,[],[f587,f1663]) ).

fof(f2704,plain,
    ( ~ c3_1(a617)
    | c0_1(a617)
    | ~ spl0_5
    | spl0_174 ),
    inference(resolution,[],[f587,f1396]) ).

fof(f2717,plain,
    ( ~ c3_1(a658)
    | c0_1(a658)
    | ~ spl0_5
    | spl0_130 ),
    inference(resolution,[],[f587,f1161]) ).

fof(f2739,plain,
    ( ~ c3_1(a632)
    | ~ c0_1(a632)
    | ~ spl0_7
    | spl0_242 ),
    inference(resolution,[],[f594,f1759]) ).

fof(f2770,plain,
    ( ~ c3_1(a658)
    | ~ c0_1(a658)
    | ~ spl0_7
    | spl0_130 ),
    inference(resolution,[],[f594,f1161]) ).

fof(f2781,plain,
    ( ~ c0_1(a648)
    | ~ c3_1(a648)
    | ~ spl0_22
    | ~ spl0_138 ),
    inference(resolution,[],[f657,f1204]) ).

fof(f2785,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(resolution,[],[f696,f575]) ).

fof(f2793,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f2785]) ).

fof(f2798,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | ~ spl0_33
    | spl0_282 ),
    inference(resolution,[],[f700,f1972]) ).

fof(f2799,plain,
    ( c0_1(a609)
    | c3_1(a609)
    | ~ spl0_33
    | spl0_280 ),
    inference(resolution,[],[f700,f1961]) ).

fof(f2834,plain,
    ( c0_1(a670)
    | c3_1(a670)
    | ~ spl0_33
    | spl0_113 ),
    inference(resolution,[],[f700,f1071]) ).

fof(f2869,plain,
    ( spl0_281
    | spl0_283
    | ~ spl0_33
    | spl0_282 ),
    inference(avatar_split_clause,[],[f2798,f1970,f699,f1975,f1965]) ).

fof(f2906,plain,
    ( spl0_328
    | spl0_279
    | ~ spl0_33
    | spl0_280 ),
    inference(avatar_split_clause,[],[f2799,f1959,f699,f1954,f2301]) ).

fof(f2919,plain,
    ( spl0_314
    | spl0_114
    | ~ spl0_33
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2834,f1069,f699,f1074,f2231]) ).

fof(f2928,plain,
    ( spl0_227
    | ~ spl0_228
    | ~ spl0_5
    | spl0_340 ),
    inference(avatar_split_clause,[],[f2689,f2412,f586,f1682,f1677]) ).

fof(f2951,plain,
    ( ~ c0_1(a669)
    | ~ c3_1(a669)
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(resolution,[],[f1092,f657]) ).

fof(f2979,plain,
    ( ~ c3_1(a652)
    | c1_1(a652)
    | ~ spl0_32
    | ~ spl0_218 ),
    inference(resolution,[],[f1631,f696]) ).

fof(f3018,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(resolution,[],[f661,f594]) ).

fof(f3041,plain,
    ( ~ c3_1(a648)
    | ~ c0_1(a648)
    | ~ spl0_23
    | ~ spl0_333 ),
    inference(resolution,[],[f661,f2378]) ).

fof(f3045,plain,
    ( ~ c3_1(a669)
    | ~ c0_1(a669)
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(resolution,[],[f661,f1087]) ).

fof(f3053,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f3018]) ).

fof(f3095,plain,
    ( ~ c0_1(a599)
    | ~ c3_1(a599)
    | ~ spl0_22
    | ~ spl0_199 ),
    inference(resolution,[],[f1529,f657]) ).

fof(f3118,plain,
    ( c3_1(a618)
    | ~ c1_1(a618)
    | ~ spl0_30
    | ~ spl0_172 ),
    inference(resolution,[],[f689,f1385]) ).

fof(f3131,plain,
    ( c3_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_30
    | ~ spl0_117 ),
    inference(resolution,[],[f689,f1092]) ).

fof(f3141,plain,
    ( spl0_300
    | ~ spl0_128
    | ~ spl0_5
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2717,f1159,f586,f1149,f2113]) ).

fof(f3211,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(resolution,[],[f717,f575]) ).

fof(f3224,plain,
    ( c1_1(a666)
    | ~ c0_1(a666)
    | ~ spl0_37
    | ~ spl0_208 ),
    inference(resolution,[],[f717,f1577]) ).

fof(f3226,plain,
    ( c1_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_37
    | ~ spl0_199 ),
    inference(resolution,[],[f717,f1529]) ).

fof(f3238,plain,
    ( c1_1(a647)
    | ~ c0_1(a647)
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(resolution,[],[f717,f1225]) ).

fof(f3249,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f3211]) ).

fof(f3252,plain,
    ( ~ spl0_207
    | spl0_338
    | ~ spl0_37
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f3224,f1575,f716,f2402,f1570]) ).

fof(f3271,plain,
    ( ~ c0_1(a666)
    | c3_1(a666)
    | ~ spl0_44
    | ~ spl0_208 ),
    inference(resolution,[],[f747,f1577]) ).

fof(f3292,plain,
    ( ~ c0_1(a669)
    | c3_1(a669)
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(resolution,[],[f747,f1092]) ).

fof(f3303,plain,
    ( spl0_206
    | ~ spl0_207
    | ~ spl0_44
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f3271,f1575,f746,f1570,f1565]) ).

fof(f3341,plain,
    ( ~ c3_1(a646)
    | c1_1(a646)
    | ~ spl0_32
    | ~ spl0_222 ),
    inference(resolution,[],[f696,f1652]) ).

fof(f3355,plain,
    ( ~ c3_1(a647)
    | c1_1(a647)
    | ~ spl0_32
    | ~ spl0_142 ),
    inference(resolution,[],[f696,f1225]) ).

fof(f3356,plain,
    ( ~ c3_1(a648)
    | c1_1(a648)
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(resolution,[],[f696,f1204]) ).

fof(f3364,plain,
    ( ~ c3_1(a672)
    | c1_1(a672)
    | ~ spl0_32
    | ~ spl0_108 ),
    inference(resolution,[],[f696,f1044]) ).

fof(f3378,plain,
    ( ~ c0_1(a616)
    | ~ c1_1(a616)
    | ~ spl0_47
    | ~ spl0_263 ),
    inference(resolution,[],[f759,f1871]) ).

fof(f3384,plain,
    ( ~ c0_1(a599)
    | ~ c1_1(a599)
    | ~ spl0_47
    | ~ spl0_199 ),
    inference(resolution,[],[f759,f1529]) ).

fof(f3389,plain,
    ( ~ c0_1(a618)
    | ~ c1_1(a618)
    | ~ spl0_47
    | ~ spl0_172 ),
    inference(resolution,[],[f759,f1385]) ).

fof(f3396,plain,
    ( ~ c0_1(a648)
    | ~ c1_1(a648)
    | ~ spl0_47
    | ~ spl0_138 ),
    inference(resolution,[],[f759,f1204]) ).

fof(f3405,plain,
    ( ~ c0_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(resolution,[],[f759,f996]) ).

fof(f3456,plain,
    ( ~ c3_1(a673)
    | c0_1(a673)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f763,f1023]) ).

fof(f3458,plain,
    ( ~ c3_1(a675)
    | c0_1(a675)
    | ~ spl0_48
    | ~ spl0_100 ),
    inference(resolution,[],[f763,f1001]) ).

fof(f3461,plain,
    ( spl0_299
    | ~ spl0_98
    | ~ spl0_48
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3458,f999,f762,f989,f2108]) ).

fof(f3462,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f3456,f1021,f762,f1031,f1026]) ).

fof(f3478,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(resolution,[],[f779,f696]) ).

fof(f3494,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f3478]) ).

fof(f3538,plain,
    ( ~ c0_1(a603)
    | c3_1(a603)
    | ~ spl0_56
    | spl0_288 ),
    inference(resolution,[],[f796,f2004]) ).

fof(f3568,plain,
    ( ~ c0_1(a647)
    | c3_1(a647)
    | ~ spl0_56
    | spl0_141 ),
    inference(resolution,[],[f796,f1220]) ).

fof(f3590,plain,
    ( spl0_226
    | ~ spl0_225
    | ~ spl0_5
    | spl0_224 ),
    inference(avatar_split_clause,[],[f2690,f1661,f586,f1666,f1671]) ).

fof(f3663,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(resolution,[],[f804,f700]) ).

fof(f3686,plain,
    ( c3_1(a618)
    | c0_1(a618)
    | ~ spl0_58
    | ~ spl0_172 ),
    inference(resolution,[],[f804,f1385]) ).

fof(f3702,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f3663]) ).

fof(f3707,plain,
    ( spl0_303
    | spl0_171
    | ~ spl0_58
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3686,f1383,f803,f1378,f2128]) ).

fof(f3720,plain,
    ( spl0_240
    | spl0_239
    | ~ spl0_25
    | spl0_241 ),
    inference(avatar_split_clause,[],[f2537,f1751,f668,f1741,f1746]) ).

fof(f3721,plain,
    ( spl0_209
    | spl0_210
    | ~ spl0_25
    | spl0_211 ),
    inference(avatar_split_clause,[],[f2547,f1591,f668,f1586,f1581]) ).

fof(f3786,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(resolution,[],[f685,f640]) ).

fof(f3815,plain,
    ( ~ c3_1(a653)
    | c0_1(a653)
    | ~ spl0_29
    | ~ spl0_133 ),
    inference(resolution,[],[f685,f1177]) ).

fof(f3823,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f3786]) ).

fof(f3831,plain,
    ( spl0_301
    | ~ spl0_132
    | ~ spl0_29
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3815,f1175,f684,f1170,f2118]) ).

fof(f3838,plain,
    ( spl0_48
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f3823,f684,f639,f762]) ).

fof(f3845,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(resolution,[],[f835,f657]) ).

fof(f3859,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f3845]) ).

fof(f3890,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(resolution,[],[f873,f696]) ).

fof(f3906,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(duplicate_literal_removal,[],[f3890]) ).

fof(f3908,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_65
    | ~ spl0_76 ),
    inference(resolution,[],[f886,f835]) ).

fof(f3911,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_76 ),
    inference(resolution,[],[f886,f640]) ).

fof(f3925,plain,
    ( ~ c3_1(a646)
    | ~ c1_1(a646)
    | ~ spl0_76
    | ~ spl0_222 ),
    inference(resolution,[],[f886,f1652]) ).

fof(f3938,plain,
    ( ~ c3_1(a648)
    | ~ c1_1(a648)
    | ~ spl0_76
    | ~ spl0_138 ),
    inference(resolution,[],[f886,f1204]) ).

fof(f3946,plain,
    ( ~ c3_1(a672)
    | ~ c1_1(a672)
    | ~ spl0_76
    | ~ spl0_108 ),
    inference(resolution,[],[f886,f1044]) ).

fof(f3947,plain,
    ( ~ c3_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_76
    | ~ spl0_99 ),
    inference(resolution,[],[f886,f996]) ).

fof(f3948,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_76 ),
    inference(duplicate_literal_removal,[],[f3911]) ).

fof(f3950,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_65
    | ~ spl0_76 ),
    inference(duplicate_literal_removal,[],[f3908]) ).

fof(f3952,plain,
    ( ~ spl0_100
    | ~ spl0_98
    | ~ spl0_76
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f3947,f994,f885,f989,f999]) ).

fof(f3953,plain,
    ( ~ spl0_330
    | ~ spl0_107
    | ~ spl0_76
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f3946,f1042,f885,f1037,f2362]) ).

fof(f3958,plain,
    ( ~ spl0_333
    | ~ spl0_139
    | ~ spl0_76
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3938,f1202,f885,f1207,f2377]) ).

fof(f3964,plain,
    ( spl0_48
    | ~ spl0_18
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3948,f885,f639,f762]) ).

fof(f3965,plain,
    ( spl0_56
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2313,f610,f574,f795]) ).

fof(f3979,plain,
    ( spl0_287
    | ~ spl0_289
    | ~ spl0_56
    | spl0_288 ),
    inference(avatar_split_clause,[],[f3538,f2002,f795,f2007,f1997]) ).

fof(f3990,plain,
    ( spl0_317
    | ~ spl0_140
    | ~ spl0_56
    | spl0_141 ),
    inference(avatar_split_clause,[],[f3568,f1218,f795,f1213,f2246]) ).

fof(f3994,plain,
    ( spl0_141
    | ~ spl0_317
    | ~ spl0_32
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3355,f1223,f695,f2246,f1218]) ).

fof(f4015,plain,
    ( spl0_304
    | ~ spl0_173
    | ~ spl0_5
    | spl0_174 ),
    inference(avatar_split_clause,[],[f2704,f1394,f586,f1389,f2133]) ).

fof(f4022,plain,
    ( ~ spl0_118
    | ~ spl0_315
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3045,f1085,f660,f2236,f1095]) ).

fof(f4062,plain,
    ( c0_1(a665)
    | ~ c3_1(a665)
    | ~ spl0_73
    | spl0_120 ),
    inference(resolution,[],[f1108,f873]) ).

fof(f4063,plain,
    ( ~ c1_1(a665)
    | ~ c3_1(a665)
    | ~ spl0_65
    | spl0_120 ),
    inference(resolution,[],[f1108,f835]) ).

fof(f4068,plain,
    ( ~ spl0_343
    | spl0_283
    | ~ spl0_18
    | spl0_282 ),
    inference(avatar_split_clause,[],[f2318,f1970,f639,f1975,f2427]) ).

fof(f4073,plain,
    ( ~ spl0_126
    | spl0_127
    | ~ spl0_18
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2354,f1133,f639,f1143,f1138]) ).

fof(f4080,plain,
    ( spl0_220
    | ~ spl0_219
    | ~ spl0_32
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f2979,f1629,f695,f1634,f1639]) ).

fof(f4105,plain,
    ( ~ spl0_198
    | spl0_346
    | ~ spl0_37
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f3226,f1527,f716,f2655,f1522]) ).

fof(f4125,plain,
    ( c0_1(a658)
    | ~ c3_1(a658)
    | ~ spl0_73
    | spl0_129 ),
    inference(resolution,[],[f1156,f873]) ).

fof(f4137,plain,
    ( ~ c3_1(a626)
    | ~ c0_1(a626)
    | ~ spl0_23
    | ~ spl0_160 ),
    inference(resolution,[],[f1321,f661]) ).

fof(f4145,plain,
    ( c0_1(a617)
    | ~ c3_1(a617)
    | ~ spl0_73
    | spl0_175 ),
    inference(resolution,[],[f1401,f873]) ).

fof(f4165,plain,
    ( ~ c1_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_65
    | spl0_229 ),
    inference(resolution,[],[f1689,f835]) ).

fof(f4204,plain,
    ( c1_1(a666)
    | c3_1(a666)
    | ~ spl0_11
    | ~ spl0_208 ),
    inference(resolution,[],[f611,f1577]) ).

fof(f4300,plain,
    ( ~ spl0_140
    | spl0_141
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3238,f1223,f716,f1218,f1213]) ).

fof(f4308,plain,
    ( ~ spl0_116
    | spl0_315
    | ~ spl0_30
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3131,f1090,f688,f2236,f1085]) ).

fof(f4312,plain,
    ( ~ spl0_346
    | ~ spl0_198
    | ~ spl0_47
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f3384,f1527,f758,f1522,f2655]) ).

fof(f4326,plain,
    ( ~ spl0_137
    | ~ spl0_139
    | ~ spl0_23
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f3041,f2377,f660,f1207,f1197]) ).

fof(f4328,plain,
    ( ~ spl0_159
    | ~ spl0_158
    | ~ spl0_23
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f4137,f1319,f660,f1309,f1314]) ).

fof(f4376,plain,
    ( c0_1(a609)
    | ~ c3_1(a609)
    | ~ spl0_73
    | spl0_280 ),
    inference(resolution,[],[f1961,f873]) ).

fof(f4442,plain,
    ( c0_1(a670)
    | ~ spl0_33
    | ~ spl0_58
    | spl0_314 ),
    inference(resolution,[],[f3702,f2233]) ).

fof(f4458,plain,
    ( c3_1(a666)
    | ~ c1_1(a666)
    | ~ spl0_30
    | ~ spl0_208 ),
    inference(resolution,[],[f689,f1577]) ).

fof(f4483,plain,
    ( ~ c0_1(a666)
    | ~ c1_1(a666)
    | ~ spl0_47
    | ~ spl0_208 ),
    inference(resolution,[],[f759,f1577]) ).

fof(f4490,plain,
    ( ~ c0_1(a653)
    | ~ c1_1(a653)
    | ~ spl0_47
    | ~ spl0_133 ),
    inference(resolution,[],[f759,f1177]) ).

fof(f4491,plain,
    ( ~ c0_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_47
    | ~ spl0_117 ),
    inference(resolution,[],[f759,f1092]) ).

fof(f4514,plain,
    ( ~ c3_1(a617)
    | c1_1(a617)
    | ~ spl0_52
    | spl0_175 ),
    inference(resolution,[],[f779,f1401]) ).

fof(f4531,plain,
    ( spl0_174
    | ~ spl0_173
    | ~ spl0_52
    | spl0_175 ),
    inference(avatar_split_clause,[],[f4514,f1399,f778,f1389,f1394]) ).

fof(f4578,plain,
    ( spl0_206
    | spl0_338
    | ~ spl0_11
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f4204,f1575,f610,f2402,f1565]) ).

fof(f4599,plain,
    ( spl0_5
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f3906,f872,f695,f586]) ).

fof(f4621,plain,
    ( ~ spl0_339
    | ~ spl0_223
    | ~ spl0_76
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f3925,f1650,f885,f1655,f2407]) ).

fof(f4640,plain,
    ( spl0_114
    | ~ spl0_33
    | ~ spl0_58
    | spl0_314 ),
    inference(avatar_split_clause,[],[f4442,f2231,f803,f699,f1074]) ).

fof(f4661,plain,
    ( ~ spl0_170
    | spl0_171
    | ~ spl0_30
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3118,f1383,f688,f1378,f1373]) ).

fof(f4665,plain,
    ( ~ spl0_338
    | spl0_206
    | ~ spl0_30
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f4458,f1575,f688,f1565,f2402]) ).

fof(f4676,plain,
    ( ~ spl0_338
    | ~ spl0_207
    | ~ spl0_47
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f4483,f1575,f758,f1570,f2402]) ).

fof(f4688,plain,
    ( ~ spl0_228
    | ~ spl0_340
    | ~ spl0_65
    | spl0_229 ),
    inference(avatar_split_clause,[],[f4165,f1687,f834,f2412,f1682]) ).

fof(f4696,plain,
    ( ~ c3_1(a670)
    | c1_1(a670)
    | ~ spl0_52
    | spl0_113 ),
    inference(resolution,[],[f1071,f779]) ).

fof(f4703,plain,
    ( ~ c3_1(a658)
    | c1_1(a658)
    | ~ spl0_52
    | spl0_129 ),
    inference(resolution,[],[f1156,f779]) ).

fof(f4755,plain,
    ( c0_1(a665)
    | ~ c1_1(a665)
    | ~ spl0_18
    | spl0_120 ),
    inference(resolution,[],[f640,f1108]) ).

fof(f4809,plain,
    ( ~ c3_1(a665)
    | ~ spl0_32
    | ~ spl0_52
    | spl0_331 ),
    inference(resolution,[],[f3494,f2369]) ).

fof(f4818,plain,
    ( ~ spl0_119
    | ~ spl0_32
    | ~ spl0_52
    | spl0_331 ),
    inference(avatar_split_clause,[],[f4809,f2367,f778,f695,f1101]) ).

fof(f4826,plain,
    ( ~ spl0_304
    | spl0_174
    | ~ spl0_2
    | spl0_175 ),
    inference(avatar_split_clause,[],[f2088,f1399,f574,f1394,f2133]) ).

fof(f4828,plain,
    ( ~ spl0_300
    | spl0_130
    | ~ spl0_2
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2099,f1154,f574,f1159,f2113]) ).

fof(f4845,plain,
    ( ~ spl0_300
    | ~ spl0_128
    | ~ spl0_7
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2770,f1159,f593,f1149,f2113]) ).

fof(f4872,plain,
    ( spl0_115
    | ~ spl0_314
    | ~ spl0_52
    | spl0_113 ),
    inference(avatar_split_clause,[],[f4696,f1069,f778,f2231,f1079]) ).

fof(f4873,plain,
    ( spl0_130
    | ~ spl0_128
    | ~ spl0_52
    | spl0_129 ),
    inference(avatar_split_clause,[],[f4703,f1154,f778,f1149,f1159]) ).

fof(f4926,plain,
    ( c1_1(a635)
    | ~ c0_1(a635)
    | ~ spl0_37
    | ~ spl0_237 ),
    inference(resolution,[],[f717,f1732]) ).

fof(f4940,plain,
    ( ~ c0_1(a603)
    | ~ spl0_2
    | ~ spl0_37
    | spl0_288 ),
    inference(resolution,[],[f3249,f2004]) ).

fof(f4979,plain,
    ( ~ spl0_289
    | ~ spl0_2
    | ~ spl0_37
    | spl0_288 ),
    inference(avatar_split_clause,[],[f4940,f2002,f716,f574,f2007]) ).

fof(f4998,plain,
    ( ~ spl0_331
    | spl0_121
    | ~ spl0_18
    | spl0_120 ),
    inference(avatar_split_clause,[],[f4755,f1106,f639,f1111,f2367]) ).

fof(f5063,plain,
    ( ~ c3_1(a671)
    | ~ c0_1(a671)
    | ~ spl0_7
    | spl0_112 ),
    inference(resolution,[],[f594,f1065]) ).

fof(f5138,plain,
    ( ~ c3_1(a653)
    | ~ spl0_65
    | ~ spl0_76
    | ~ spl0_131 ),
    inference(resolution,[],[f3950,f1167]) ).

fof(f5144,plain,
    ( ~ spl0_132
    | ~ spl0_65
    | ~ spl0_76
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f5138,f1165,f885,f834,f1170]) ).

fof(f5204,plain,
    ( ~ c3_1(a628)
    | c1_1(a628)
    | ~ spl0_32
    | ~ spl0_246 ),
    inference(resolution,[],[f696,f1780]) ).

fof(f5208,plain,
    ( spl0_245
    | ~ spl0_247
    | ~ spl0_32
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f5204,f1778,f695,f1783,f1773]) ).

fof(f5210,plain,
    ( spl0_315
    | ~ spl0_118
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f3292,f1090,f746,f1095,f2236]) ).

fof(f5214,plain,
    ( spl0_333
    | ~ spl0_139
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3356,f1202,f695,f1207,f2377]) ).

fof(f5219,plain,
    ( spl0_339
    | ~ spl0_223
    | ~ spl0_32
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f3341,f1650,f695,f1655,f2407]) ).

fof(f5225,plain,
    ( ~ spl0_309
    | spl0_238
    | ~ spl0_37
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f4926,f1730,f716,f1735,f2158]) ).

fof(f5230,plain,
    ( ~ spl0_119
    | ~ spl0_331
    | ~ spl0_65
    | spl0_120 ),
    inference(avatar_split_clause,[],[f4063,f1106,f834,f2367,f1101]) ).

fof(f5255,plain,
    ( ~ spl0_101
    | spl0_102
    | ~ spl0_2
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2105,f1015,f574,f1010,f1005]) ).

fof(f5256,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f2793,f695,f574,f593]) ).

fof(f5259,plain,
    ( ~ spl0_110
    | ~ spl0_111
    | ~ spl0_7
    | spl0_112 ),
    inference(avatar_split_clause,[],[f5063,f1063,f593,f1058,f1053]) ).

fof(f5262,plain,
    ( spl0_330
    | ~ spl0_107
    | ~ spl0_32
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f3364,f1042,f695,f1037,f2362]) ).

fof(f5399,plain,
    ( c0_1(a658)
    | c1_1(a658)
    | ~ spl0_81
    | spl0_129 ),
    inference(resolution,[],[f905,f1156]) ).

fof(f5401,plain,
    ( c0_1(a665)
    | c1_1(a665)
    | ~ spl0_81
    | spl0_120 ),
    inference(resolution,[],[f905,f1108]) ).

fof(f5402,plain,
    ( c0_1(a670)
    | c1_1(a670)
    | ~ spl0_81
    | spl0_113 ),
    inference(resolution,[],[f905,f1071]) ).

fof(f5406,plain,
    ( spl0_115
    | spl0_114
    | ~ spl0_81
    | spl0_113 ),
    inference(avatar_split_clause,[],[f5402,f1069,f904,f1074,f1079]) ).

fof(f5407,plain,
    ( spl0_331
    | spl0_121
    | ~ spl0_81
    | spl0_120 ),
    inference(avatar_split_clause,[],[f5401,f1106,f904,f1111,f2367]) ).

fof(f5408,plain,
    ( spl0_130
    | spl0_300
    | ~ spl0_81
    | spl0_129 ),
    inference(avatar_split_clause,[],[f5399,f1154,f904,f2113,f1159]) ).

fof(f5485,plain,
    ( c3_1(a606)
    | ~ c1_1(a606)
    | ~ spl0_97
    | spl0_282 ),
    inference(resolution,[],[f986,f1972]) ).

fof(f5489,plain,
    ( c3_1(a613)
    | ~ c1_1(a613)
    | ~ spl0_97
    | spl0_270 ),
    inference(resolution,[],[f986,f1908]) ).

fof(f5524,plain,
    ( ~ spl0_271
    | spl0_269
    | ~ spl0_97
    | spl0_270 ),
    inference(avatar_split_clause,[],[f5489,f1906,f985,f1901,f1911]) ).

fof(f5534,plain,
    ( ~ spl0_100
    | ~ spl0_299
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f3405,f994,f758,f2108,f999]) ).

fof(f5537,plain,
    ( ~ spl0_264
    | ~ spl0_265
    | ~ spl0_47
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f3378,f1869,f758,f1879,f1874]) ).

fof(f5539,plain,
    ( ~ spl0_170
    | ~ spl0_303
    | ~ spl0_47
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3389,f1383,f758,f2128,f1373]) ).

fof(f5541,plain,
    ( ~ spl0_333
    | ~ spl0_137
    | ~ spl0_47
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3396,f1202,f758,f1197,f2377]) ).

fof(f5548,plain,
    ( ~ spl0_131
    | ~ spl0_301
    | ~ spl0_47
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f4490,f1175,f758,f2118,f1165]) ).

fof(f5549,plain,
    ( ~ spl0_116
    | ~ spl0_118
    | ~ spl0_47
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f4491,f1090,f758,f1095,f1085]) ).

fof(f5568,plain,
    ( ~ spl0_343
    | spl0_281
    | ~ spl0_97
    | spl0_282 ),
    inference(avatar_split_clause,[],[f5485,f1970,f985,f1965,f2427]) ).

fof(f5577,plain,
    ( ~ spl0_244
    | ~ spl0_243
    | ~ spl0_7
    | spl0_242 ),
    inference(avatar_split_clause,[],[f2739,f1757,f593,f1762,f1767]) ).

fof(f5600,plain,
    ( ~ spl0_139
    | ~ spl0_137
    | ~ spl0_22
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2781,f1202,f656,f1197,f1207]) ).

fof(f5601,plain,
    ( ~ spl0_315
    | ~ spl0_118
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2951,f1090,f656,f1095,f2236]) ).

fof(f5602,plain,
    ( ~ spl0_197
    | ~ spl0_198
    | ~ spl0_22
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f3095,f1527,f656,f1522,f1517]) ).

fof(f5603,plain,
    ( spl0_23
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f3859,f834,f656,f660]) ).

fof(f5615,plain,
    ( c0_1(a628)
    | c1_1(a628)
    | ~ spl0_88
    | ~ spl0_246 ),
    inference(resolution,[],[f1780,f943]) ).

fof(f5616,plain,
    ( spl0_245
    | spl0_323
    | ~ spl0_88
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f5615,f1778,f942,f2276,f1773]) ).

fof(f5670,plain,
    ( ~ c0_1(a608)
    | ~ spl0_7
    | ~ spl0_23
    | ~ spl0_183 ),
    inference(resolution,[],[f3053,f1444]) ).

fof(f5688,plain,
    ( ~ spl0_182
    | ~ spl0_7
    | ~ spl0_23
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f5670,f1442,f660,f593,f1437]) ).

fof(f5691,plain,
    ( ~ spl0_328
    | spl0_279
    | ~ spl0_73
    | spl0_280 ),
    inference(avatar_split_clause,[],[f4376,f1959,f872,f1954,f2301]) ).

fof(f5693,plain,
    ( ~ spl0_119
    | spl0_121
    | ~ spl0_73
    | spl0_120 ),
    inference(avatar_split_clause,[],[f4062,f1106,f872,f1111,f1101]) ).

fof(f5694,plain,
    ( ~ spl0_128
    | spl0_300
    | ~ spl0_73
    | spl0_129 ),
    inference(avatar_split_clause,[],[f4125,f1154,f872,f2113,f1149]) ).

fof(f5697,plain,
    ( ~ spl0_173
    | spl0_304
    | ~ spl0_73
    | spl0_175 ),
    inference(avatar_split_clause,[],[f4145,f1399,f872,f2133,f1389]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s3,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s4,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s5,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_19 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s9,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s11,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s12,plain,
    ( ~ spl0_1
    | spl0_30
    | ~ spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s15,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_37
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s17,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_41
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s18,plain,
    ( ~ spl0_1
    | spl0_43
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s19,plain,
    ( ~ spl0_1
    | spl0_32
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s21,plain,
    ( ~ spl0_1
    | spl0_50
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s24,plain,
    ( spl0_58
    | spl0_25
    | ~ spl0_1
    | spl0_58 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s25,plain,
    ( ~ spl0_1
    | spl0_25
    | spl0_58 ),
    inference(rat,[],[s24]) ).

cnf(s27,plain,
    ( ~ spl0_1
    | spl0_44
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s28,plain,
    ( ~ spl0_62
    | ~ spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s29,plain,
    ( spl0_65
    | spl0_2
    | ~ spl0_1
    | spl0_65 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s30,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_65 ),
    inference(rat,[],[s29]) ).

cnf(s34,plain,
    ( spl0_11
    | ~ spl0_1
    | spl0_11
    | spl0_33 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s35,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_33 ),
    inference(rat,[],[s34]) ).

cnf(s36,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_30
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s37,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_25
    | spl0_52 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s43,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_52
    | spl0_81 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s44,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_32
    | spl0_73 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s45,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_26
    | spl0_37 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s46,plain,
    ( ~ spl0_1
    | spl0_20
    | spl0_47
    | spl0_76 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s48,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_65
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s50,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_22
    | spl0_58 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s53,plain,
    ( spl0_23
    | ~ spl0_1
    | spl0_23
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s54,plain,
    ( ~ spl0_1
    | spl0_23
    | ~ spl0_87 ),
    inference(rat,[],[s53]) ).

cnf(s55,plain,
    ( ~ spl0_1
    | spl0_48
    | spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s60,plain,
    ( spl0_18
    | ~ spl0_1
    | spl0_18
    | spl0_33 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s61,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_33 ),
    inference(rat,[],[s60]) ).

cnf(s62,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_37
    | spl0_73 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s63,plain,
    ( spl0_16
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s65,plain,
    ( ~ spl0_1
    | spl0_22
    | spl0_73
    | spl0_97 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s66,plain,
    ( ~ spl0_8
    | spl0_98 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s67,plain,
    ( ~ spl0_8
    | spl0_99 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s68,plain,
    ( ~ spl0_8
    | spl0_100 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s70,plain,
    ( ~ spl0_9
    | spl0_101 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s71,plain,
    ( ~ spl0_9
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s72,plain,
    ( ~ spl0_9
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s74,plain,
    ( spl0_10
    | spl0_104 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s75,plain,
    ( spl0_10
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s76,plain,
    ( spl0_10
    | spl0_106 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s78,plain,
    ( ~ spl0_12
    | spl0_107 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s79,plain,
    ( ~ spl0_12
    | spl0_108 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s80,plain,
    ( ~ spl0_12
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s82,plain,
    ( spl0_13
    | spl0_110 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s83,plain,
    ( spl0_13
    | spl0_111 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s84,plain,
    ( spl0_13
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s86,plain,
    ( spl0_14
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s87,plain,
    ( spl0_14
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s88,plain,
    ( spl0_14
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s90,plain,
    ( spl0_15
    | spl0_116 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s91,plain,
    ( spl0_15
    | spl0_117 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s92,plain,
    ( spl0_15
    | spl0_118 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s94,plain,
    ( ~ spl0_19
    | spl0_119 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s95,plain,
    ( ~ spl0_19
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s96,plain,
    ( ~ spl0_19
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s98,plain,
    ( spl0_21
    | spl0_122 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s99,plain,
    ( spl0_21
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s100,plain,
    ( spl0_21
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s102,plain,
    ( ~ spl0_24
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s103,plain,
    ( ~ spl0_24
    | spl0_126 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s104,plain,
    ( ~ spl0_24
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s106,plain,
    ( spl0_31
    | spl0_128 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s107,plain,
    ( spl0_31
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s108,plain,
    ( spl0_31
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s110,plain,
    ( ~ spl0_6
    | spl0_131 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s111,plain,
    ( ~ spl0_6
    | spl0_132 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s112,plain,
    ( ~ spl0_6
    | spl0_133 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s118,plain,
    ( spl0_42
    | spl0_137 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s119,plain,
    ( spl0_42
    | spl0_138 ),
    inference(sat_conversion,[],[f1205]) ).

cnf(s120,plain,
    ( spl0_42
    | spl0_139 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s122,plain,
    ( ~ spl0_43
    | spl0_140 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s123,plain,
    ( ~ spl0_43
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s124,plain,
    ( ~ spl0_43
    | spl0_142 ),
    inference(sat_conversion,[],[f1226]) ).

cnf(s146,plain,
    ( spl0_69
    | spl0_158 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s147,plain,
    ( spl0_69
    | spl0_159 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s148,plain,
    ( spl0_69
    | spl0_160 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s162,plain,
    ( ~ spl0_26
    | spl0_170 ),
    inference(sat_conversion,[],[f1376]) ).

cnf(s163,plain,
    ( ~ spl0_26
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1381]) ).

cnf(s164,plain,
    ( ~ spl0_26
    | spl0_172 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s166,plain,
    ( ~ spl0_20
    | spl0_173 ),
    inference(sat_conversion,[],[f1392]) ).

cnf(s167,plain,
    ( ~ spl0_20
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1397]) ).

cnf(s168,plain,
    ( ~ spl0_20
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1402]) ).

cnf(s178,plain,
    ( ~ spl0_89
    | spl0_182 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s179,plain,
    ( ~ spl0_89
    | spl0_183 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s197,plain,
    ( spl0_1
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s198,plain,
    ( ~ spl0_16
    | spl0_197 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s199,plain,
    ( ~ spl0_16
    | spl0_198 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s200,plain,
    ( ~ spl0_16
    | spl0_199 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s201,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s210,plain,
    ( spl0_3
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s211,plain,
    ( spl0_3
    | spl0_207 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s212,plain,
    ( spl0_3
    | spl0_208 ),
    inference(sat_conversion,[],[f1578]) ).

cnf(s214,plain,
    ( spl0_27
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f1584]) ).

cnf(s215,plain,
    ( spl0_27
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f1589]) ).

cnf(s216,plain,
    ( spl0_27
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f1594]) ).

cnf(s226,plain,
    ( spl0_38
    | spl0_218 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s227,plain,
    ( spl0_38
    | spl0_219 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s228,plain,
    ( spl0_38
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f1642]) ).

cnf(s231,plain,
    ( ~ spl0_45
    | spl0_222 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s232,plain,
    ( ~ spl0_45
    | spl0_223 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s234,plain,
    ( ~ spl0_50
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s235,plain,
    ( ~ spl0_50
    | spl0_225 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s236,plain,
    ( ~ spl0_50
    | ~ spl0_226 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s238,plain,
    ( ~ spl0_51
    | ~ spl0_227 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s239,plain,
    ( ~ spl0_51
    | spl0_228 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s240,plain,
    ( ~ spl0_51
    | ~ spl0_229 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s250,plain,
    ( ~ spl0_61
    | ~ spl0_236 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s251,plain,
    ( ~ spl0_61
    | spl0_237 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s252,plain,
    ( ~ spl0_61
    | ~ spl0_238 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s254,plain,
    ( spl0_62
    | ~ spl0_239 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s255,plain,
    ( spl0_62
    | ~ spl0_240 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s256,plain,
    ( spl0_62
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s258,plain,
    ( ~ spl0_64
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f1760]) ).

cnf(s259,plain,
    ( ~ spl0_64
    | spl0_243 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s260,plain,
    ( ~ spl0_64
    | spl0_244 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s262,plain,
    ( ~ spl0_41
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1776]) ).

cnf(s263,plain,
    ( ~ spl0_41
    | spl0_246 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s264,plain,
    ( ~ spl0_41
    | spl0_247 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s286,plain,
    ( spl0_82
    | spl0_263 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s287,plain,
    ( spl0_82
    | spl0_264 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s288,plain,
    ( spl0_82
    | spl0_265 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s294,plain,
    ( spl0_63
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s295,plain,
    ( spl0_63
    | ~ spl0_270 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s296,plain,
    ( spl0_63
    | spl0_271 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s306,plain,
    ( spl0_87
    | ~ spl0_278 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s307,plain,
    ( spl0_87
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f1957]) ).

cnf(s308,plain,
    ( spl0_87
    | ~ spl0_280 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s310,plain,
    ( ~ spl0_46
    | ~ spl0_281 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s311,plain,
    ( ~ spl0_46
    | ~ spl0_282 ),
    inference(sat_conversion,[],[f1973]) ).

cnf(s312,plain,
    ( ~ spl0_46
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s318,plain,
    ( spl0_28
    | ~ spl0_287 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s319,plain,
    ( spl0_28
    | ~ spl0_288 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s320,plain,
    ( spl0_28
    | spl0_289 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s325,plain,
    ( spl0_1
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f2027]) ).

cnf(s349,plain,
    ( ~ spl0_5
    | spl0_114
    | spl0_115
    | ~ spl0_314 ),
    inference(sat_conversion,[],[f2234]) ).

cnf(s381,plain,
    ( ~ spl0_5
    | ~ spl0_119
    | spl0_121
    | spl0_331 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s383,plain,
    ( ~ spl0_7
    | spl0_245
    | ~ spl0_247
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f2503]) ).

cnf(s386,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s391,plain,
    ( ~ spl0_25
    | spl0_114
    | spl0_115
    | spl0_314 ),
    inference(sat_conversion,[],[f2585]) ).

cnf(s427,plain,
    ( ~ spl0_25
    | spl0_236
    | spl0_238
    | spl0_309 ),
    inference(sat_conversion,[],[f2621]) ).

cnf(s440,plain,
    ( ~ spl0_25
    | spl0_278
    | spl0_279
    | spl0_328 ),
    inference(sat_conversion,[],[f2634]) ).

cnf(s441,plain,
    ( ~ spl0_25
    | spl0_281
    | spl0_283
    | spl0_343 ),
    inference(sat_conversion,[],[f2635]) ).

cnf(s450,plain,
    ( ~ spl0_5
    | ~ spl0_122
    | spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f2653]) ).

cnf(s457,plain,
    ( ~ spl0_5
    | ~ spl0_107
    | spl0_109
    | spl0_330 ),
    inference(sat_conversion,[],[f2669]) ).

cnf(s492,plain,
    ( ~ spl0_33
    | spl0_281
    | spl0_282
    | spl0_283 ),
    inference(sat_conversion,[],[f2869]) ).

cnf(s508,plain,
    ( ~ spl0_33
    | spl0_279
    | spl0_280
    | spl0_328 ),
    inference(sat_conversion,[],[f2906]) ).

cnf(s521,plain,
    ( ~ spl0_33
    | spl0_113
    | spl0_114
    | spl0_314 ),
    inference(sat_conversion,[],[f2919]) ).

cnf(s530,plain,
    ( ~ spl0_5
    | spl0_227
    | ~ spl0_228
    | spl0_340 ),
    inference(sat_conversion,[],[f2928]) ).

cnf(s586,plain,
    ( ~ spl0_5
    | ~ spl0_128
    | spl0_130
    | spl0_300 ),
    inference(sat_conversion,[],[f3141]) ).

cnf(s591,plain,
    ( ~ spl0_37
    | ~ spl0_207
    | ~ spl0_208
    | spl0_338 ),
    inference(sat_conversion,[],[f3252]) ).

cnf(s600,plain,
    ( ~ spl0_44
    | spl0_206
    | ~ spl0_207
    | ~ spl0_208 ),
    inference(sat_conversion,[],[f3303]) ).

cnf(s627,plain,
    ( ~ spl0_48
    | ~ spl0_98
    | ~ spl0_100
    | spl0_299 ),
    inference(sat_conversion,[],[f3461]) ).

cnf(s628,plain,
    ( ~ spl0_48
    | ~ spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f3462]) ).

cnf(s657,plain,
    ( ~ spl0_5
    | spl0_224
    | ~ spl0_225
    | spl0_226 ),
    inference(sat_conversion,[],[f3590]) ).

cnf(s666,plain,
    ( ~ spl0_58
    | spl0_171
    | ~ spl0_172
    | spl0_303 ),
    inference(sat_conversion,[],[f3707]) ).

cnf(s679,plain,
    ( ~ spl0_25
    | spl0_239
    | spl0_240
    | spl0_241 ),
    inference(sat_conversion,[],[f3720]) ).

cnf(s680,plain,
    ( ~ spl0_25
    | spl0_209
    | spl0_210
    | spl0_211 ),
    inference(sat_conversion,[],[f3721]) ).

cnf(s714,plain,
    ( ~ spl0_29
    | ~ spl0_132
    | ~ spl0_133
    | spl0_301 ),
    inference(sat_conversion,[],[f3831]) ).

cnf(s721,plain,
    ( ~ spl0_18
    | ~ spl0_29
    | spl0_48 ),
    inference(sat_conversion,[],[f3838]) ).

cnf(s736,plain,
    ( ~ spl0_76
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3952]) ).

cnf(s737,plain,
    ( ~ spl0_76
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f3953]) ).

cnf(s742,plain,
    ( ~ spl0_76
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_333 ),
    inference(sat_conversion,[],[f3958]) ).

cnf(s748,plain,
    ( ~ spl0_18
    | spl0_48
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f3964]) ).

cnf(s749,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_56 ),
    inference(sat_conversion,[],[f3965]) ).

cnf(s765,plain,
    ( ~ spl0_56
    | spl0_287
    | spl0_288
    | ~ spl0_289 ),
    inference(sat_conversion,[],[f3979]) ).

cnf(s776,plain,
    ( ~ spl0_56
    | ~ spl0_140
    | spl0_141
    | spl0_317 ),
    inference(sat_conversion,[],[f3990]) ).

cnf(s780,plain,
    ( ~ spl0_32
    | spl0_141
    | ~ spl0_142
    | ~ spl0_317 ),
    inference(sat_conversion,[],[f3994]) ).

cnf(s801,plain,
    ( ~ spl0_5
    | ~ spl0_173
    | spl0_174
    | spl0_304 ),
    inference(sat_conversion,[],[f4015]) ).

cnf(s808,plain,
    ( ~ spl0_23
    | ~ spl0_116
    | ~ spl0_118
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f4022]) ).

cnf(s831,plain,
    ( ~ spl0_18
    | spl0_282
    | spl0_283
    | ~ spl0_343 ),
    inference(sat_conversion,[],[f4068]) ).

cnf(s836,plain,
    ( ~ spl0_18
    | spl0_125
    | ~ spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f4073]) ).

cnf(s843,plain,
    ( ~ spl0_32
    | ~ spl0_218
    | ~ spl0_219
    | spl0_220 ),
    inference(sat_conversion,[],[f4080]) ).

cnf(s887,plain,
    ( ~ spl0_37
    | ~ spl0_198
    | ~ spl0_199
    | spl0_346 ),
    inference(sat_conversion,[],[f4105]) ).

cnf(s911,plain,
    ( ~ spl0_37
    | ~ spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f4300]) ).

cnf(s919,plain,
    ( ~ spl0_30
    | ~ spl0_116
    | ~ spl0_117
    | spl0_315 ),
    inference(sat_conversion,[],[f4308]) ).

cnf(s923,plain,
    ( ~ spl0_47
    | ~ spl0_198
    | ~ spl0_199
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f4312]) ).

cnf(s937,plain,
    ( ~ spl0_23
    | ~ spl0_137
    | ~ spl0_139
    | ~ spl0_333 ),
    inference(sat_conversion,[],[f4326]) ).

cnf(s939,plain,
    ( ~ spl0_23
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f4328]) ).

cnf(s966,plain,
    ( ~ spl0_52
    | ~ spl0_173
    | spl0_174
    | spl0_175 ),
    inference(sat_conversion,[],[f4531]) ).

cnf(s1016,plain,
    ( ~ spl0_11
    | spl0_206
    | ~ spl0_208
    | spl0_338 ),
    inference(sat_conversion,[],[f4578]) ).

cnf(s1037,plain,
    ( spl0_5
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f4599]) ).

cnf(s1065,plain,
    ( ~ spl0_76
    | ~ spl0_222
    | ~ spl0_223
    | ~ spl0_339 ),
    inference(sat_conversion,[],[f4621]) ).

cnf(s1085,plain,
    ( ~ spl0_33
    | ~ spl0_58
    | spl0_114
    | spl0_314 ),
    inference(sat_conversion,[],[f4640]) ).

cnf(s1106,plain,
    ( ~ spl0_30
    | ~ spl0_170
    | spl0_171
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f4661]) ).

cnf(s1110,plain,
    ( ~ spl0_30
    | spl0_206
    | ~ spl0_208
    | ~ spl0_338 ),
    inference(sat_conversion,[],[f4665]) ).

cnf(s1121,plain,
    ( ~ spl0_47
    | ~ spl0_207
    | ~ spl0_208
    | ~ spl0_338 ),
    inference(sat_conversion,[],[f4676]) ).

cnf(s1133,plain,
    ( ~ spl0_65
    | ~ spl0_228
    | spl0_229
    | ~ spl0_340 ),
    inference(sat_conversion,[],[f4688]) ).

cnf(s1141,plain,
    ( ~ spl0_32
    | ~ spl0_52
    | ~ spl0_119
    | spl0_331 ),
    inference(sat_conversion,[],[f4818]) ).

cnf(s1149,plain,
    ( ~ spl0_2
    | spl0_174
    | spl0_175
    | ~ spl0_304 ),
    inference(sat_conversion,[],[f4826]) ).

cnf(s1151,plain,
    ( ~ spl0_2
    | spl0_129
    | spl0_130
    | ~ spl0_300 ),
    inference(sat_conversion,[],[f4828]) ).

cnf(s1168,plain,
    ( ~ spl0_7
    | ~ spl0_128
    | spl0_130
    | ~ spl0_300 ),
    inference(sat_conversion,[],[f4845]) ).

cnf(s1195,plain,
    ( ~ spl0_52
    | spl0_113
    | spl0_115
    | ~ spl0_314 ),
    inference(sat_conversion,[],[f4872]) ).

cnf(s1196,plain,
    ( ~ spl0_52
    | ~ spl0_128
    | spl0_129
    | spl0_130 ),
    inference(sat_conversion,[],[f4873]) ).

cnf(s1211,plain,
    ( ~ spl0_2
    | ~ spl0_37
    | spl0_288
    | ~ spl0_289 ),
    inference(sat_conversion,[],[f4979]) ).

cnf(s1230,plain,
    ( ~ spl0_18
    | spl0_120
    | spl0_121
    | ~ spl0_331 ),
    inference(sat_conversion,[],[f4998]) ).

cnf(s1254,plain,
    ( ~ spl0_65
    | ~ spl0_76
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f5144]) ).

cnf(s1256,plain,
    ( ~ spl0_32
    | spl0_245
    | ~ spl0_246
    | ~ spl0_247 ),
    inference(sat_conversion,[],[f5208]) ).

cnf(s1258,plain,
    ( ~ spl0_44
    | ~ spl0_117
    | ~ spl0_118
    | spl0_315 ),
    inference(sat_conversion,[],[f5210]) ).

cnf(s1262,plain,
    ( ~ spl0_32
    | ~ spl0_138
    | ~ spl0_139
    | spl0_333 ),
    inference(sat_conversion,[],[f5214]) ).

cnf(s1267,plain,
    ( ~ spl0_32
    | ~ spl0_222
    | ~ spl0_223
    | spl0_339 ),
    inference(sat_conversion,[],[f5219]) ).

cnf(s1273,plain,
    ( ~ spl0_37
    | ~ spl0_237
    | spl0_238
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f5225]) ).

cnf(s1278,plain,
    ( ~ spl0_65
    | ~ spl0_119
    | spl0_120
    | ~ spl0_331 ),
    inference(sat_conversion,[],[f5230]) ).

cnf(s1280,plain,
    ( ~ spl0_2
    | ~ spl0_101
    | spl0_102
    | spl0_103 ),
    inference(sat_conversion,[],[f5255]) ).

cnf(s1281,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f5256]) ).

cnf(s1287,plain,
    ( ~ spl0_7
    | ~ spl0_110
    | ~ spl0_111
    | spl0_112 ),
    inference(sat_conversion,[],[f5259]) ).

cnf(s1290,plain,
    ( ~ spl0_32
    | ~ spl0_107
    | ~ spl0_108
    | spl0_330 ),
    inference(sat_conversion,[],[f5262]) ).

cnf(s1292,plain,
    ( ~ spl0_81
    | spl0_113
    | spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f5406]) ).

cnf(s1293,plain,
    ( ~ spl0_81
    | spl0_120
    | spl0_121
    | spl0_331 ),
    inference(sat_conversion,[],[f5407]) ).

cnf(s1294,plain,
    ( ~ spl0_81
    | spl0_129
    | spl0_130
    | spl0_300 ),
    inference(sat_conversion,[],[f5408]) ).

cnf(s1320,plain,
    ( ~ spl0_97
    | spl0_269
    | spl0_270
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f5524]) ).

cnf(s1330,plain,
    ( ~ spl0_47
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_299 ),
    inference(sat_conversion,[],[f5534]) ).

cnf(s1333,plain,
    ( ~ spl0_47
    | ~ spl0_263
    | ~ spl0_264
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f5537]) ).

cnf(s1335,plain,
    ( ~ spl0_47
    | ~ spl0_170
    | ~ spl0_172
    | ~ spl0_303 ),
    inference(sat_conversion,[],[f5539]) ).

cnf(s1337,plain,
    ( ~ spl0_47
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_333 ),
    inference(sat_conversion,[],[f5541]) ).

cnf(s1344,plain,
    ( ~ spl0_47
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f5548]) ).

cnf(s1345,plain,
    ( ~ spl0_47
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f5549]) ).

cnf(s1364,plain,
    ( ~ spl0_97
    | spl0_281
    | spl0_282
    | ~ spl0_343 ),
    inference(sat_conversion,[],[f5568]) ).

cnf(s1373,plain,
    ( ~ spl0_7
    | spl0_242
    | ~ spl0_243
    | ~ spl0_244 ),
    inference(sat_conversion,[],[f5577]) ).

cnf(s1396,plain,
    ( ~ spl0_22
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f5600]) ).

cnf(s1397,plain,
    ( ~ spl0_22
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f5601]) ).

cnf(s1398,plain,
    ( ~ spl0_22
    | ~ spl0_197
    | ~ spl0_198
    | ~ spl0_199 ),
    inference(sat_conversion,[],[f5602]) ).

cnf(s1399,plain,
    ( ~ spl0_22
    | spl0_23
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f5603]) ).

cnf(s1405,plain,
    ( ~ spl0_88
    | spl0_245
    | ~ spl0_246
    | spl0_323 ),
    inference(sat_conversion,[],[f5616]) ).

cnf(s1406,plain,
    ( ~ spl0_7
    | ~ spl0_23
    | ~ spl0_182
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f5688]) ).

cnf(s1409,plain,
    ( ~ spl0_73
    | spl0_279
    | spl0_280
    | ~ spl0_328 ),
    inference(sat_conversion,[],[f5691]) ).

cnf(s1411,plain,
    ( ~ spl0_73
    | ~ spl0_119
    | spl0_120
    | spl0_121 ),
    inference(sat_conversion,[],[f5693]) ).

cnf(s1412,plain,
    ( ~ spl0_73
    | ~ spl0_128
    | spl0_129
    | spl0_300 ),
    inference(sat_conversion,[],[f5694]) ).

cnf(s1415,plain,
    ( ~ spl0_73
    | ~ spl0_173
    | spl0_175
    | spl0_304 ),
    inference(sat_conversion,[],[f5697]) ).

cnf(s1422,plain,
    spl0_1,
    inference(rat,[],[s63,s197,s201,s325]) ).

cnf(s1423,plain,
    ( spl0_13
    | ~ spl0_7 ),
    inference(rat,[],[s1287,s82,s83,s84]) ).

cnf(s1426,plain,
    ( ~ spl0_61
    | ~ spl0_25
    | ~ spl0_37 ),
    inference(rat,[],[s427,s1273,s250,s251,s252]) ).

cnf(s1430,plain,
    ( ~ spl0_64
    | ~ spl0_7 ),
    inference(rat,[],[s1373,s258,s259,s260]) ).

cnf(s1431,plain,
    ( spl0_63
    | ~ spl0_97 ),
    inference(rat,[],[s1320,s294,s295,s296]) ).

cnf(s1432,plain,
    ( spl0_62
    | ~ spl0_25 ),
    inference(rat,[],[s679,s254,s255,s256]) ).

cnf(s1434,plain,
    ( ~ spl0_16
    | ~ spl0_22 ),
    inference(rat,[],[s1398,s198,s199,s200]) ).

cnf(s1437,plain,
    ( spl0_42
    | ~ spl0_22 ),
    inference(rat,[],[s1396,s118,s119,s120]) ).

cnf(s1438,plain,
    ( ~ spl0_41
    | ~ spl0_32 ),
    inference(rat,[],[s1256,s262,s263,s264]) ).

cnf(s1439,plain,
    ( ~ spl0_19
    | spl0_2 ),
    inference(rat,[],[s836,s102,s103,s104,s9,s1430,s28,s1431,s937,s65,s1262,s1437,s118,s119,s120,s17,s1438,s1432,s43,s37,s1141,s381,s1293,s44,s1278,s1411,s94,s95,s96,s30,s1422]) ).

cnf(s1440,plain,
    ( spl0_5
    | spl0_47
    | ~ spl0_32
    | ~ spl0_37
    | spl0_44 ),
    inference(rat,[],[s1426,s37,s27,s966,s166,s167,s168,s46,s742,s1262,s119,s120,s17,s1438,s1422]) ).

cnf(s1443,plain,
    ( spl0_25
    | spl0_32
    | spl0_5 ),
    inference(rat,[],[s1196,s106,s107,s108,s12,s1106,s162,s163,s164,s10,s37,s1422]) ).

cnf(s1446,plain,
    ( spl0_87
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(rat,[],[s440,s1409,s306,s307,s308]) ).

cnf(s1448,plain,
    ( spl0_31
    | ~ spl0_52 ),
    inference(rat,[],[s1196,s106,s107,s108]) ).

cnf(s1449,plain,
    ( ~ spl0_30
    | spl0_5
    | spl0_3 ),
    inference(rat,[],[s1106,s162,s163,s164,s45,s591,s1110,s212,s211,s210,s1422]) ).

cnf(s1450,plain,
    ( spl0_5
    | ~ spl0_73
    | spl0_3 ),
    inference(rat,[],[s939,s146,s147,s148,s36,s1168,s1412,s106,s107,s108,s12,s1449,s54,s1446,s1443,s1037,s1422]) ).

cnf(s1452,plain,
    ( spl0_21
    | ~ spl0_5 ),
    inference(rat,[],[s450,s98,s99,s100]) ).

cnf(s1456,plain,
    ( spl0_38
    | ~ spl0_32 ),
    inference(rat,[],[s843,s226,s227,s228]) ).

cnf(s1457,plain,
    ( spl0_15
    | ~ spl0_30
    | ~ spl0_23 ),
    inference(rat,[],[s808,s919,s90,s91,s92]) ).

cnf(s1460,plain,
    ( spl0_87
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(rat,[],[s508,s1409,s307,s308]) ).

cnf(s1462,plain,
    ( spl0_15
    | ~ spl0_47 ),
    inference(rat,[],[s1345,s90,s91,s92]) ).

cnf(s1464,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | spl0_16
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s1085,s349,s87,s88,s35,s5,s1016,s1462,s1121,s212,s211,s210,s1422]) ).

cnf(s1466,plain,
    ( spl0_20
    | spl0_76
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s349,s391,s25,s87,s88,s1464,s5,s1434,s1462,s8,s46,s1452,s1422]) ).

cnf(s1467,plain,
    ( ~ spl0_46
    | ~ spl0_33 ),
    inference(rat,[],[s492,s310,s311,s312]) ).

cnf(s1471,plain,
    ( ~ spl0_51
    | ~ spl0_5
    | ~ spl0_65 ),
    inference(rat,[],[s530,s1133,s238,s239,s240]) ).

cnf(s1473,plain,
    ( ~ spl0_50
    | ~ spl0_5 ),
    inference(rat,[],[s657,s234,s235,s236]) ).

cnf(s1474,plain,
    ( ~ spl0_20
    | ~ spl0_52 ),
    inference(rat,[],[s966,s166,s167,s168]) ).

cnf(s1475,plain,
    ( spl0_32
    | spl0_16
    | ~ spl0_31
    | ~ spl0_73
    | spl0_3 ),
    inference(rat,[],[s391,s25,s349,s87,s88,s5,s1464,s1457,s19,s54,s1467,s1460,s35,s1016,s1110,s12,s212,s210,s1450,s1422]) ).

cnf(s1479,plain,
    ( ~ spl0_12
    | ~ spl0_32
    | ~ spl0_76 ),
    inference(rat,[],[s737,s1290,s78,s79]) ).

cnf(s1482,plain,
    ( ~ spl0_6
    | ~ spl0_76
    | ~ spl0_65 ),
    inference(rat,[],[s1254,s110,s111]) ).

cnf(s1492,plain,
    ( ~ spl0_43
    | ~ spl0_37 ),
    inference(rat,[],[s911,s122,s123,s124]) ).

cnf(s1493,plain,
    ( ~ spl0_73
    | spl0_2 ),
    inference(rat,[],[s1065,s1267,s231,s232,s18,s1492,s15,s1482,s1456,s1475,s1434,s1466,s8,s1474,s1448,s21,s1473,s1471,s1452,s1450,s30,s600,s210,s211,s212,s7,s1439,s1422]) ).

cnf(s1494,plain,
    spl0_2,
    inference(rat,[],[s1466,s1474,s1065,s21,s1267,s1473,s1471,s231,s232,s1440,s18,s1121,s1492,s591,s44,s62,s1493,s600,s210,s211,s212,s7,s1439,s30,s1422]) ).

cnf(s1495,plain,
    ( ~ spl0_45
    | ~ spl0_32
    | ~ spl0_76 ),
    inference(rat,[],[s1065,s1267,s231,s232]) ).

cnf(s1496,plain,
    ( ~ spl0_32
    | ~ spl0_13
    | ~ spl0_76
    | spl0_44 ),
    inference(rat,[],[s776,s780,s122,s123,s124,s18,s1495,s749,s4,s1479,s1422,s1494]) ).

cnf(s1497,plain,
    ( spl0_31
    | ~ spl0_73 ),
    inference(rat,[],[s1412,s1151,s106,s107,s108,s1494]) ).

cnf(s1498,plain,
    ( ~ spl0_22
    | ~ spl0_76
    | spl0_3
    | ~ spl0_73 ),
    inference(rat,[],[s1496,s1475,s1423,s1434,s386,s1497,s600,s210,s211,s212,s1494]) ).

cnf(s1499,plain,
    ( ~ spl0_20
    | ~ spl0_73 ),
    inference(rat,[],[s1149,s1415,s166,s167,s168,s1494]) ).

cnf(s1500,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_73 ),
    inference(rat,[],[s1498,s1466,s8,s1499,s1452,s1422]) ).

cnf(s1501,plain,
    ( ~ spl0_19
    | ~ spl0_73 ),
    inference(rat,[],[s1411,s94,s95,s96]) ).

cnf(s1502,plain,
    ( spl0_3
    | ~ spl0_73 ),
    inference(rat,[],[s1500,s1450]) ).

cnf(s1503,plain,
    ~ spl0_73,
    inference(rat,[],[s1502,s7,s1501]) ).

cnf(s1504,plain,
    ( ~ spl0_12
    | ~ spl0_76
    | ~ spl0_5 ),
    inference(rat,[],[s737,s457,s78,s79,s80]) ).

cnf(s1505,plain,
    ( spl0_31
    | ~ spl0_5 ),
    inference(rat,[],[s586,s1151,s106,s107,s108,s1494]) ).

cnf(s1506,plain,
    ( ~ spl0_13
    | spl0_12
    | ~ spl0_76
    | spl0_3
    | ~ spl0_31 ),
    inference(rat,[],[s1110,s1016,s12,s4,s1496,s600,s210,s211,s212,s1422]) ).

cnf(s1507,plain,
    ( ~ spl0_20
    | ~ spl0_5 ),
    inference(rat,[],[s801,s1149,s166,s167,s168,s1494]) ).

cnf(s1508,plain,
    ( spl0_3
    | ~ spl0_5 ),
    inference(rat,[],[s1506,s1504,s1466,s1505,s1423,s386,s8,s1507,s1452,s1494,s1422]) ).

cnf(s1509,plain,
    ( spl0_15
    | ~ spl0_44
    | ~ spl0_22 ),
    inference(rat,[],[s1258,s1397,s91,s92]) ).

cnf(s1510,plain,
    ( spl0_14
    | ~ spl0_5 ),
    inference(rat,[],[s521,s349,s86,s87,s88,s61,s1230,s381,s94,s96,s95,s7,s1508,s1422]) ).

cnf(s1511,plain,
    ~ spl0_5,
    inference(rat,[],[s46,s1496,s19,s1509,s1462,s5,s1510,s1467,s61,s1230,s381,s94,s95,s96,s7,s1508,s1423,s1434,s386,s8,s1507,s1452,s1422,s1494]) ).

cnf(s1512,plain,
    ~ spl0_9,
    inference(rat,[],[s1280,s70,s71,s72,s1494]) ).

cnf(s1513,plain,
    ( spl0_10
    | ~ spl0_48 ),
    inference(rat,[],[s628,s74,s75,s76]) ).

cnf(s1514,plain,
    ( ~ spl0_8
    | ~ spl0_76 ),
    inference(rat,[],[s736,s66,s67,s68]) ).

cnf(s1515,plain,
    ( spl0_31
    | spl0_18 ),
    inference(rat,[],[s1294,s43,s1151,s1448,s107,s108,s1422,s1494]) ).

cnf(s1517,plain,
    ( ~ spl0_32
    | ~ spl0_76 ),
    inference(rat,[],[s742,s1262,s119,s120,s17,s1438,s1422,s1511]) ).

cnf(s1518,plain,
    ( spl0_14
    | ~ spl0_76 ),
    inference(rat,[],[s43,s1195,s1292,s391,s86,s87,s88,s748,s1513,s3,s1514,s1443,s1517,s1422,s1511,s1512]) ).

cnf(s1519,plain,
    ( spl0_48
    | ~ spl0_76 ),
    inference(rat,[],[s1106,s162,s163,s164,s45,s887,s923,s199,s200,s5,s1518,s1462,s19,s12,s1517,s1515,s1467,s61,s748,s1511,s1422]) ).

cnf(s1520,plain,
    ~ spl0_76,
    inference(rat,[],[s1519,s1513,s3,s1514,s1512]) ).

cnf(s1521,plain,
    ~ spl0_32,
    inference(rat,[],[s37,s1432,s1474,s28,s46,s1431,s1337,s65,s1262,s1437,s118,s119,s120,s17,s1430,s1438,s1281,s1422,s1511,s1520,s1503,s1494]) ).

cnf(s1522,plain,
    spl0_25,
    inference(rat,[],[s1443,s1511,s1521]) ).

cnf(s1524,plain,
    spl0_62,
    inference(rat,[],[s1432,s1522]) ).

cnf(s1525,plain,
    ( ~ spl0_48
    | ~ spl0_47 ),
    inference(rat,[],[s627,s1330,s66,s67,s68,s3,s1513,s1512]) ).

cnf(s1526,plain,
    ( spl0_82
    | ~ spl0_47 ),
    inference(rat,[],[s1333,s286,s287,s288]) ).

cnf(s1540,plain,
    spl0_27,
    inference(rat,[],[s680,s214,s215,s216,s1522]) ).

cnf(s1541,plain,
    ( spl0_28
    | ~ spl0_56 ),
    inference(rat,[],[s765,s318,s319,s320]) ).

cnf(s1542,plain,
    ( ~ spl0_46
    | ~ spl0_18 ),
    inference(rat,[],[s831,s441,s310,s311,s312,s1522]) ).

cnf(s1543,plain,
    ( ~ spl0_18
    | ~ spl0_22 ),
    inference(rat,[],[s48,s749,s1399,s1541,s1406,s11,s178,s179,s721,s55,s1526,s1525,s19,s1542,s1405,s263,s383,s264,s386,s262,s17,s1437,s1422,s1494,s1540,s1521,s1511]) ).

cnf(s1544,plain,
    ~ spl0_22,
    inference(rat,[],[s43,s1195,s1292,s391,s86,s87,s88,s5,s1462,s19,s1467,s61,s1543,s1434,s1422,s1522,s1521]) ).

cnf(s1545,plain,
    spl0_97,
    inference(rat,[],[s65,s1503,s1422,s1544]) ).

cnf(s1547,plain,
    spl0_63,
    inference(rat,[],[s1431,s1545]) ).

cnf(s1548,plain,
    spl0_64,
    inference(rat,[],[s28,s1524,s1547]) ).

cnf(s1552,plain,
    ~ spl0_7,
    inference(rat,[],[s1430,s1548]) ).

cnf(s1553,plain,
    spl0_6,
    inference(rat,[],[s2,s1511,s1422,s1552]) ).

cnf(s1554,plain,
    spl0_58,
    inference(rat,[],[s50,s1422,s1544,s1552]) ).

cnf(s1555,plain,
    spl0_133,
    inference(rat,[],[s112,s1553]) ).

cnf(s1556,plain,
    spl0_132,
    inference(rat,[],[s111,s1553]) ).

cnf(s1557,plain,
    spl0_131,
    inference(rat,[],[s110,s1553]) ).

cnf(s1559,plain,
    ~ spl0_46,
    inference(rat,[],[s1364,s441,s310,s311,s312,s1545,s1522]) ).

cnf(s1560,plain,
    spl0_47,
    inference(rat,[],[s19,s1521,s1422,s1559]) ).

cnf(s1564,plain,
    ~ spl0_301,
    inference(rat,[],[s1344,s1555,s1557,s1560]) ).

cnf(s1565,plain,
    ~ spl0_29,
    inference(rat,[],[s714,s1556,s1555,s1564]) ).

cnf(s1566,plain,
    ~ spl0_28,
    inference(rat,[],[s11,s1422,s1540,s1565]) ).

cnf(s1567,plain,
    spl0_289,
    inference(rat,[],[s320,s1566]) ).

cnf(s1568,plain,
    ~ spl0_288,
    inference(rat,[],[s319,s1566]) ).

cnf(s1571,plain,
    ~ spl0_37,
    inference(rat,[],[s1211,s1494,s1567,s1568]) ).

cnf(s1574,plain,
    spl0_26,
    inference(rat,[],[s45,s1511,s1422,s1571]) ).

cnf(s1581,plain,
    spl0_172,
    inference(rat,[],[s164,s1574]) ).

cnf(s1582,plain,
    ~ spl0_171,
    inference(rat,[],[s163,s1574]) ).

cnf(s1583,plain,
    spl0_170,
    inference(rat,[],[s162,s1574]) ).

cnf(s1592,plain,
    spl0_303,
    inference(rat,[],[s666,s1581,s1554,s1582]) ).

cnf(s1594,plain,
    $false,
    inference(rat,[],[s1335,s1560,s1581,s1583,s1592]) ).

fof(f5703,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1594]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN440+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n002.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:03:52 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.29  % (478922)Will run a generic schedule for satisfiability detection.
% 0.19/0.29  % (478933)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=879085099:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29  % (478928)% WARNING: option uhcvi not known.
% 0.19/0.29  % (478927)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2191338540_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29  % (478930)dis+10_1_sil=32000:sp=arity:random_seed=1089741426:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29  % (478929)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=718359111:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29  % (478928)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=730486800:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29  % (478932)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2669138471:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29  % (478931)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=811657328:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29  % Detected minimum model sizes of [1]
% 0.19/0.29  % Detected maximum model sizes of [67]
% 0.19/0.29  % TRYING [1]
% 0.19/0.29  % TRYING [2]
% 0.19/0.29  % TRYING [3]
% 0.19/0.29  % TRYING [4]
% 0.19/0.29  % (478933) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-478922-478933"...
% 0.19/0.29  % (478933)...printing done.
% 0.19/0.29  % (478933)Refutation found. Thanks to Tanya!
% 0.19/0.29  % SZS status Theorem for theBenchmark
% 0.19/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30  % (478933)------------------------------
% 0.19/0.30  % (478933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30  % (478933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30  % (478933)CaDiCaL version: 2.1.3
% 0.19/0.30  % (478933)Termination reason: Refutation
% 0.19/0.30  % (478933)Time elapsed: 0.046 s
% 0.19/0.30  % (478933)Peak memory usage: 15 MB
% 0.19/0.30  % (478933)Instructions burned: 134 (million)
% 0.19/0.30  % (478922)Success in time 0.08 s
% 0.19/0.30  % Vampire exiting
%------------------------------------------------------------------------------