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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN457+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:52:27 PM UTC 2026

% Result   : Theorem 3.70s 1.17s
% Output   : Refutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  198
% Syntax   : Number of formulae    : 1135 (  35 unt; 197 def)
%            Number of atoms       : 7541 (   0 equ)
%            Maximal formula atoms :  827 (   6 avg)
%            Number of connectives : 10082 (3676   ~;4127   |;1815   &)
%                                         ( 197 <=>; 267  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  143 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  279 ( 278 usr; 275 prp; 0-1 aty)
%            Number of functors    :   76 (  76 usr;  76 con; 0-0 aty)
%            Number of variables   :  599 (   0 sgn 599   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1637)
          & c0_1(a1637)
          & ~ c2_1(a1637) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c1_1(a1643)
          & c3_1(a1643)
          & ~ c2_1(a1643) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a1645)
          & ~ c0_1(a1645)
          & ~ c3_1(a1645) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a1646)
          & ~ c1_1(a1646)
          & ~ c2_1(a1646) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1647)
          & ~ c0_1(a1647)
          & ~ c2_1(a1647) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c3_1(a1648)
          & ~ c1_1(a1648)
          & ~ c0_1(a1648) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c1_1(a1650)
          & ~ c2_1(a1650)
          & ~ c3_1(a1650) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a1655)
          & c0_1(a1655)
          & ~ c2_1(a1655) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a1657)
          & ~ c1_1(a1657)
          & ~ c0_1(a1657) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c3_1(a1660)
          & ~ c0_1(a1660)
          & ~ c1_1(a1660) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c2_1(a1663)
          & ~ c3_1(a1663)
          & ~ c0_1(a1663) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c3_1(a1664)
          & ~ c2_1(a1664)
          & ~ c1_1(a1664) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a1666)
          & c3_1(a1666)
          & ~ c1_1(a1666) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a1667)
          & c3_1(a1667)
          & ~ c1_1(a1667) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a1671)
          & ~ c1_1(a1671)
          & ~ c3_1(a1671) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a1672)
          & c1_1(a1672)
          & ~ c0_1(a1672) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c0_1(a1677)
          & ~ c2_1(a1677)
          & ~ c1_1(a1677) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a1678)
          & ~ c1_1(a1678)
          & ~ c2_1(a1678) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c3_1(a1680)
          & ~ c1_1(a1680)
          & ~ c0_1(a1680) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c1_1(a1681)
          & ~ c3_1(a1681)
          & ~ c2_1(a1681) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c2_1(a1682)
          & ~ c1_1(a1682)
          & ~ c3_1(a1682) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a1683)
          & c2_1(a1683)
          & ~ c1_1(a1683) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a1684)
          & c2_1(a1684)
          & ~ c3_1(a1684) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a1685)
          & c2_1(a1685)
          & ~ c1_1(a1685) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a1689)
          & c3_1(a1689)
          & ~ c1_1(a1689) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a1690)
          & ~ c0_1(a1690)
          & ~ c1_1(a1690) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c3_1(a1691)
          & ~ c1_1(a1691)
          & ~ c2_1(a1691) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a1693)
          & ~ c3_1(a1693)
          & ~ c2_1(a1693) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ~ c1_1(a1694)
          & c2_1(a1694)
          & ~ c3_1(a1694) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c2_1(a1695)
          & c0_1(a1695)
          & ~ c3_1(a1695) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a1698)
          & c3_1(a1698)
          & ~ c0_1(a1698) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c2_1(a1700)
          & ~ c0_1(a1700)
          & ~ c3_1(a1700) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & c1_1(a1701)
          & c0_1(a1701)
          & ~ c3_1(a1701) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & c3_1(a1704)
          & ~ c0_1(a1704)
          & ~ c2_1(a1704) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & c2_1(a1705)
          & ~ c3_1(a1705)
          & ~ c1_1(a1705) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ~ c0_1(a1706)
          & ~ c3_1(a1706)
          & ~ c1_1(a1706) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & ~ c2_1(a1712)
          & ~ c0_1(a1712)
          & ~ c1_1(a1712) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & c2_1(a1714)
          & c0_1(a1714)
          & ~ c1_1(a1714) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & c3_1(a1718)
          & ~ c2_1(a1718)
          & ~ c0_1(a1718) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ~ c1_1(a1721)
          & c3_1(a1721)
          & ~ c0_1(a1721) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & c1_1(a1725)
          & c3_1(a1725)
          & ~ c2_1(a1725) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & c0_1(a1726)
          & c2_1(a1726)
          & ~ c1_1(a1726) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & c1_1(a1638)
          & ~ c3_1(a1638)
          & c0_1(a1638) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ~ c1_1(a1639)
          & c2_1(a1639)
          & c0_1(a1639) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & c3_1(a1640)
          & c2_1(a1640)
          & c1_1(a1640) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ~ c3_1(a1641)
          & ~ c1_1(a1641)
          & c2_1(a1641) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ~ c2_1(a1642)
          & ~ c1_1(a1642)
          & c0_1(a1642) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ~ c1_1(a1644)
          & ~ c0_1(a1644)
          & c3_1(a1644) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ c3_1(a1649)
          & ~ c2_1(a1649)
          & c0_1(a1649) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & c3_1(a1651)
          & ~ c2_1(a1651)
          & c1_1(a1651) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & c3_1(a1652)
          & c2_1(a1652)
          & c0_1(a1652) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & c2_1(a1653)
          & ~ c0_1(a1653)
          & c1_1(a1653) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & c0_1(a1654)
          & c2_1(a1654)
          & c3_1(a1654) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & ~ c3_1(a1656)
          & c2_1(a1656)
          & c0_1(a1656) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & c3_1(a1658)
          & ~ c0_1(a1658)
          & c1_1(a1658) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & ~ c2_1(a1661)
          & ~ c3_1(a1661)
          & c1_1(a1661) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & c0_1(a1662)
          & ~ c2_1(a1662)
          & c1_1(a1662) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & c0_1(a1665)
          & ~ c1_1(a1665)
          & c3_1(a1665) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ c0_1(a1668)
          & ~ c1_1(a1668)
          & c3_1(a1668) ) )
      & ( ~ hskp59
        | ( ndr1_0
          & c3_1(a1669)
          & ~ c2_1(a1669)
          & c0_1(a1669) ) )
      & ( ~ hskp60
        | ( ndr1_0
          & ~ c1_1(a1673)
          & c3_1(a1673)
          & c2_1(a1673) ) )
      & ( ~ hskp61
        | ( ndr1_0
          & ~ c1_1(a1674)
          & ~ c2_1(a1674)
          & c3_1(a1674) ) )
      & ( ~ hskp62
        | ( ndr1_0
          & ~ c3_1(a1675)
          & c1_1(a1675)
          & c0_1(a1675) ) )
      & ( ~ hskp63
        | ( ndr1_0
          & ~ c0_1(a1676)
          & c2_1(a1676)
          & c3_1(a1676) ) )
      & ( ~ hskp64
        | ( ndr1_0
          & ~ c3_1(a1686)
          & ~ c1_1(a1686)
          & c0_1(a1686) ) )
      & ( ~ hskp65
        | ( ndr1_0
          & ~ c3_1(a1687)
          & ~ c0_1(a1687)
          & c2_1(a1687) ) )
      & ( ~ hskp66
        | ( ndr1_0
          & ~ c1_1(a1692)
          & ~ c2_1(a1692)
          & c0_1(a1692) ) )
      & ( ~ hskp67
        | ( ndr1_0
          & c1_1(a1702)
          & c2_1(a1702)
          & c3_1(a1702) ) )
      & ( ~ hskp68
        | ( ndr1_0
          & ~ c1_1(a1707)
          & c3_1(a1707)
          & c0_1(a1707) ) )
      & ( ~ hskp69
        | ( ndr1_0
          & ~ c1_1(a1709)
          & c0_1(a1709)
          & c3_1(a1709) ) )
      & ( ~ hskp70
        | ( ndr1_0
          & ~ c0_1(a1710)
          & ~ c3_1(a1710)
          & c1_1(a1710) ) )
      & ( ~ hskp71
        | ( ndr1_0
          & ~ c2_1(a1713)
          & c3_1(a1713)
          & c0_1(a1713) ) )
      & ( ~ hskp72
        | ( ndr1_0
          & ~ c2_1(a1715)
          & c1_1(a1715)
          & c3_1(a1715) ) )
      & ( ~ hskp73
        | ( ndr1_0
          & c2_1(a1716)
          & ~ c3_1(a1716)
          & c0_1(a1716) ) )
      & ( ~ hskp74
        | ( ndr1_0
          & ~ c3_1(a1717)
          & c0_1(a1717)
          & c2_1(a1717) ) )
      & ( ~ hskp75
        | ( ndr1_0
          & c0_1(a1724)
          & ~ c2_1(a1724)
          & c3_1(a1724) ) )
      & ( hskp0
        | ! [X0] :
            ( ndr1_0
           => ( ~ c2_1(X0)
              | ~ c0_1(X0)
              | c3_1(X0) ) )
        | hskp42 )
      & ( hskp43
        | hskp44
        | hskp45 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c1_1(X1)
              | c2_1(X1) ) )
        | hskp46
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c0_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c0_1(X3)
              | c3_1(X3) ) )
        | hskp1
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) ) )
      & ( hskp47
        | hskp2
        | hskp3 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c0_1(X5)
              | ~ c3_1(X5) ) )
        | hskp4
        | hskp5 )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | ~ c3_1(X6)
              | c2_1(X6) ) )
        | hskp48
        | hskp6 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c0_1(X7)
              | ~ c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | hskp49 )
      & ( hskp50
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c0_1(X9)
              | ~ c2_1(X9) ) )
        | hskp51 )
      & ( hskp52
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | hskp7 )
      & ( hskp53
        | hskp8
        | hskp54 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | c0_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | ~ c3_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( hskp2
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c3_1(X15)
              | ~ c0_1(X15) ) ) )
      & ( hskp9
        | hskp55
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | c3_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c0_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | ~ c3_1(X19)
              | ~ c0_1(X19) ) ) )
      & ( hskp56
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | c3_1(X20)
              | c0_1(X20) ) )
        | hskp10 )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c2_1(X21)
              | ~ c3_1(X21) ) )
        | hskp11
        | hskp57 )
      & ( hskp12
        | hskp13
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c3_1(X22)
              | ~ c1_1(X22) ) ) )
      & ( hskp58
        | hskp59
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c0_1(X23)
              | c2_1(X23) ) ) )
      & ( hskp10
        | hskp14
        | hskp15 )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | ~ c0_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( hskp60
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c3_1(X29)
              | c0_1(X29) ) )
        | hskp61
        | hskp62 )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c2_1(X30)
              | c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | ~ c3_1(X31)
              | c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c3_1(X32)
              | c1_1(X32) ) ) )
      & ( hskp63
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c0_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c1_1(X35)
              | ~ c3_1(X35) ) )
        | hskp16
        | hskp17 )
      & ( hskp60
        | hskp18
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c2_1(X36)
              | c3_1(X36) ) ) )
      & ( hskp19
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | ~ c1_1(X37)
              | c3_1(X37) ) )
        | hskp20 )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c0_1(X38)
              | c2_1(X38) ) )
        | hskp21
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c3_1(X39) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c0_1(X40)
              | c3_1(X40) ) )
        | hskp22
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | ~ c0_1(X41)
              | c2_1(X41) ) ) )
      & ( hskp23
        | hskp64
        | hskp65 )
      & ( hskp61
        | hskp24
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp25
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c0_1(X43)
              | c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | ~ c3_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c3_1(X45)
              | ~ c0_1(X45) ) )
        | hskp26
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c3_1(X46)
              | c1_1(X46) ) ) )
      & ( hskp66
        | hskp27
        | hskp28 )
      & ( hskp29
        | hskp52
        | hskp53 )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | ~ c1_1(X47)
              | c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c3_1(X48)
              | c1_1(X48) ) )
        | hskp30 )
      & ( hskp63
        | hskp31
        | hskp32 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c0_1(X50)
              | c1_1(X50) ) )
        | hskp67 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c2_1(X51)
              | ~ c0_1(X51)
              | ~ c3_1(X51) ) )
        | hskp61
        | hskp33 )
      & ( hskp34
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c3_1(X52)
              | c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c0_1(X53)
              | ~ c2_1(X53) ) ) )
      & ( hskp35
        | hskp68
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | ~ c3_1(X56) ) )
        | hskp13 )
      & ( hskp69
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c2_1(X57)
              | c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c0_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp70
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c0_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c0_1(X60)
              | c3_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c2_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | hskp0 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) )
        | hskp36
        | hskp71 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c1_1(X64)
              | c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c0_1(X66)
              | ~ c2_1(X66) ) ) )
      & ( hskp37
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c0_1(X67)
              | c2_1(X67) ) )
        | hskp72 )
      & ( hskp73
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c3_1(X68)
              | c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp74
        | hskp38
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | ~ c0_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | ~ c3_1(X71) ) )
        | hskp47
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c1_1(X76)
              | c3_1(X76) ) )
        | hskp57
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) ) )
      & ( hskp39
        | ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c3_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | ~ c3_1(X79) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c0_1(X80)
              | c1_1(X80)
              | ~ c3_1(X80) ) )
        | hskp29
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c1_1(X81)
              | ~ c3_1(X81) ) ) )
      & ( hskp61
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c2_1(X83)
              | c3_1(X83) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | ~ c1_1(X84) ) )
        | hskp75
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | c1_1(X85)
              | c2_1(X85) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c2_1(X86)
              | c3_1(X86) ) )
        | hskp40
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c1_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c1_1(X88)
              | c0_1(X88) ) )
        | hskp41
        | hskp30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1637)
            & c0_1(a1637)
            & ~ c2_1(a1637) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c1_1(a1643)
            & c3_1(a1643)
            & ~ c2_1(a1643) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a1645)
            & ~ c0_1(a1645)
            & ~ c3_1(a1645) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a1646)
            & ~ c1_1(a1646)
            & ~ c2_1(a1646) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1647)
            & ~ c0_1(a1647)
            & ~ c2_1(a1647) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c3_1(a1648)
            & ~ c1_1(a1648)
            & ~ c0_1(a1648) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c1_1(a1650)
            & ~ c2_1(a1650)
            & ~ c3_1(a1650) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a1655)
            & c0_1(a1655)
            & ~ c2_1(a1655) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a1657)
            & ~ c1_1(a1657)
            & ~ c0_1(a1657) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c3_1(a1660)
            & ~ c0_1(a1660)
            & ~ c1_1(a1660) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c2_1(a1663)
            & ~ c3_1(a1663)
            & ~ c0_1(a1663) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c3_1(a1664)
            & ~ c2_1(a1664)
            & ~ c1_1(a1664) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a1666)
            & c3_1(a1666)
            & ~ c1_1(a1666) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a1667)
            & c3_1(a1667)
            & ~ c1_1(a1667) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a1671)
            & ~ c1_1(a1671)
            & ~ c3_1(a1671) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a1672)
            & c1_1(a1672)
            & ~ c0_1(a1672) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c0_1(a1677)
            & ~ c2_1(a1677)
            & ~ c1_1(a1677) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a1678)
            & ~ c1_1(a1678)
            & ~ c2_1(a1678) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c3_1(a1680)
            & ~ c1_1(a1680)
            & ~ c0_1(a1680) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c1_1(a1681)
            & ~ c3_1(a1681)
            & ~ c2_1(a1681) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c2_1(a1682)
            & ~ c1_1(a1682)
            & ~ c3_1(a1682) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a1683)
            & c2_1(a1683)
            & ~ c1_1(a1683) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a1684)
            & c2_1(a1684)
            & ~ c3_1(a1684) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a1685)
            & c2_1(a1685)
            & ~ c1_1(a1685) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a1689)
            & c3_1(a1689)
            & ~ c1_1(a1689) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a1690)
            & ~ c0_1(a1690)
            & ~ c1_1(a1690) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c3_1(a1691)
            & ~ c1_1(a1691)
            & ~ c2_1(a1691) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a1693)
            & ~ c3_1(a1693)
            & ~ c2_1(a1693) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & ~ c1_1(a1694)
            & c2_1(a1694)
            & ~ c3_1(a1694) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c2_1(a1695)
            & c0_1(a1695)
            & ~ c3_1(a1695) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a1698)
            & c3_1(a1698)
            & ~ c0_1(a1698) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c2_1(a1700)
            & ~ c0_1(a1700)
            & ~ c3_1(a1700) ) )
        & ( ~ hskp32
          | ( ndr1_0
            & c1_1(a1701)
            & c0_1(a1701)
            & ~ c3_1(a1701) ) )
        & ( ~ hskp33
          | ( ndr1_0
            & c3_1(a1704)
            & ~ c0_1(a1704)
            & ~ c2_1(a1704) ) )
        & ( ~ hskp34
          | ( ndr1_0
            & c2_1(a1705)
            & ~ c3_1(a1705)
            & ~ c1_1(a1705) ) )
        & ( ~ hskp35
          | ( ndr1_0
            & ~ c0_1(a1706)
            & ~ c3_1(a1706)
            & ~ c1_1(a1706) ) )
        & ( ~ hskp36
          | ( ndr1_0
            & ~ c2_1(a1712)
            & ~ c0_1(a1712)
            & ~ c1_1(a1712) ) )
        & ( ~ hskp37
          | ( ndr1_0
            & c2_1(a1714)
            & c0_1(a1714)
            & ~ c1_1(a1714) ) )
        & ( ~ hskp38
          | ( ndr1_0
            & c3_1(a1718)
            & ~ c2_1(a1718)
            & ~ c0_1(a1718) ) )
        & ( ~ hskp39
          | ( ndr1_0
            & ~ c1_1(a1721)
            & c3_1(a1721)
            & ~ c0_1(a1721) ) )
        & ( ~ hskp40
          | ( ndr1_0
            & c1_1(a1725)
            & c3_1(a1725)
            & ~ c2_1(a1725) ) )
        & ( ~ hskp41
          | ( ndr1_0
            & c0_1(a1726)
            & c2_1(a1726)
            & ~ c1_1(a1726) ) )
        & ( ~ hskp42
          | ( ndr1_0
            & c1_1(a1638)
            & ~ c3_1(a1638)
            & c0_1(a1638) ) )
        & ( ~ hskp43
          | ( ndr1_0
            & ~ c1_1(a1639)
            & c2_1(a1639)
            & c0_1(a1639) ) )
        & ( ~ hskp44
          | ( ndr1_0
            & c3_1(a1640)
            & c2_1(a1640)
            & c1_1(a1640) ) )
        & ( ~ hskp45
          | ( ndr1_0
            & ~ c3_1(a1641)
            & ~ c1_1(a1641)
            & c2_1(a1641) ) )
        & ( ~ hskp46
          | ( ndr1_0
            & ~ c2_1(a1642)
            & ~ c1_1(a1642)
            & c0_1(a1642) ) )
        & ( ~ hskp47
          | ( ndr1_0
            & ~ c1_1(a1644)
            & ~ c0_1(a1644)
            & c3_1(a1644) ) )
        & ( ~ hskp48
          | ( ndr1_0
            & ~ c3_1(a1649)
            & ~ c2_1(a1649)
            & c0_1(a1649) ) )
        & ( ~ hskp49
          | ( ndr1_0
            & c3_1(a1651)
            & ~ c2_1(a1651)
            & c1_1(a1651) ) )
        & ( ~ hskp50
          | ( ndr1_0
            & c3_1(a1652)
            & c2_1(a1652)
            & c0_1(a1652) ) )
        & ( ~ hskp51
          | ( ndr1_0
            & c2_1(a1653)
            & ~ c0_1(a1653)
            & c1_1(a1653) ) )
        & ( ~ hskp52
          | ( ndr1_0
            & c0_1(a1654)
            & c2_1(a1654)
            & c3_1(a1654) ) )
        & ( ~ hskp53
          | ( ndr1_0
            & ~ c3_1(a1656)
            & c2_1(a1656)
            & c0_1(a1656) ) )
        & ( ~ hskp54
          | ( ndr1_0
            & c3_1(a1658)
            & ~ c0_1(a1658)
            & c1_1(a1658) ) )
        & ( ~ hskp55
          | ( ndr1_0
            & ~ c2_1(a1661)
            & ~ c3_1(a1661)
            & c1_1(a1661) ) )
        & ( ~ hskp56
          | ( ndr1_0
            & c0_1(a1662)
            & ~ c2_1(a1662)
            & c1_1(a1662) ) )
        & ( ~ hskp57
          | ( ndr1_0
            & c0_1(a1665)
            & ~ c1_1(a1665)
            & c3_1(a1665) ) )
        & ( ~ hskp58
          | ( ndr1_0
            & ~ c0_1(a1668)
            & ~ c1_1(a1668)
            & c3_1(a1668) ) )
        & ( ~ hskp59
          | ( ndr1_0
            & c3_1(a1669)
            & ~ c2_1(a1669)
            & c0_1(a1669) ) )
        & ( ~ hskp60
          | ( ndr1_0
            & ~ c1_1(a1673)
            & c3_1(a1673)
            & c2_1(a1673) ) )
        & ( ~ hskp61
          | ( ndr1_0
            & ~ c1_1(a1674)
            & ~ c2_1(a1674)
            & c3_1(a1674) ) )
        & ( ~ hskp62
          | ( ndr1_0
            & ~ c3_1(a1675)
            & c1_1(a1675)
            & c0_1(a1675) ) )
        & ( ~ hskp63
          | ( ndr1_0
            & ~ c0_1(a1676)
            & c2_1(a1676)
            & c3_1(a1676) ) )
        & ( ~ hskp64
          | ( ndr1_0
            & ~ c3_1(a1686)
            & ~ c1_1(a1686)
            & c0_1(a1686) ) )
        & ( ~ hskp65
          | ( ndr1_0
            & ~ c3_1(a1687)
            & ~ c0_1(a1687)
            & c2_1(a1687) ) )
        & ( ~ hskp66
          | ( ndr1_0
            & ~ c1_1(a1692)
            & ~ c2_1(a1692)
            & c0_1(a1692) ) )
        & ( ~ hskp67
          | ( ndr1_0
            & c1_1(a1702)
            & c2_1(a1702)
            & c3_1(a1702) ) )
        & ( ~ hskp68
          | ( ndr1_0
            & ~ c1_1(a1707)
            & c3_1(a1707)
            & c0_1(a1707) ) )
        & ( ~ hskp69
          | ( ndr1_0
            & ~ c1_1(a1709)
            & c0_1(a1709)
            & c3_1(a1709) ) )
        & ( ~ hskp70
          | ( ndr1_0
            & ~ c0_1(a1710)
            & ~ c3_1(a1710)
            & c1_1(a1710) ) )
        & ( ~ hskp71
          | ( ndr1_0
            & ~ c2_1(a1713)
            & c3_1(a1713)
            & c0_1(a1713) ) )
        & ( ~ hskp72
          | ( ndr1_0
            & ~ c2_1(a1715)
            & c1_1(a1715)
            & c3_1(a1715) ) )
        & ( ~ hskp73
          | ( ndr1_0
            & c2_1(a1716)
            & ~ c3_1(a1716)
            & c0_1(a1716) ) )
        & ( ~ hskp74
          | ( ndr1_0
            & ~ c3_1(a1717)
            & c0_1(a1717)
            & c2_1(a1717) ) )
        & ( ~ hskp75
          | ( ndr1_0
            & c0_1(a1724)
            & ~ c2_1(a1724)
            & c3_1(a1724) ) )
        & ( hskp0
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c0_1(X0)
                | c3_1(X0) ) )
          | hskp42 )
        & ( hskp43
          | hskp44
          | hskp45 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c1_1(X1)
                | c2_1(X1) ) )
          | hskp46
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c0_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c0_1(X3)
                | c3_1(X3) ) )
          | hskp1
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp47
          | hskp2
          | hskp3 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | ~ c3_1(X5) ) )
          | hskp4
          | hskp5 )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c3_1(X6)
                | c2_1(X6) ) )
          | hskp48
          | hskp6 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c0_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | hskp49 )
        & ( hskp50
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | ~ c2_1(X9) ) )
          | hskp51 )
        & ( hskp52
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | hskp7 )
        & ( hskp53
          | hskp8
          | hskp54 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c3_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( hskp2
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | ~ c0_1(X15) ) ) )
        & ( hskp9
          | hskp55
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | ~ c3_1(X19)
                | ~ c0_1(X19) ) ) )
        & ( hskp56
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c3_1(X20)
                | c0_1(X20) ) )
          | hskp10 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c2_1(X21)
                | ~ c3_1(X21) ) )
          | hskp11
          | hskp57 )
        & ( hskp12
          | hskp13
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c3_1(X22)
                | ~ c1_1(X22) ) ) )
        & ( hskp58
          | hskp59
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp10
          | hskp14
          | hskp15 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( hskp60
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c3_1(X29)
                | c0_1(X29) ) )
          | hskp61
          | hskp62 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c2_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | ~ c3_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp63
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c0_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c1_1(X35)
                | ~ c3_1(X35) ) )
          | hskp16
          | hskp17 )
        & ( hskp60
          | hskp18
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c2_1(X36)
                | c3_1(X36) ) ) )
        & ( hskp19
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | hskp20 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c0_1(X38)
                | c2_1(X38) ) )
          | hskp21
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c0_1(X40)
                | c3_1(X40) ) )
          | hskp22
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) ) )
        & ( hskp23
          | hskp64
          | hskp65 )
        & ( hskp61
          | hskp24
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp25
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c0_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c3_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c3_1(X45)
                | ~ c0_1(X45) ) )
          | hskp26
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c3_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp66
          | hskp27
          | hskp28 )
        & ( hskp29
          | hskp52
          | hskp53 )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c1_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c3_1(X48)
                | c1_1(X48) ) )
          | hskp30 )
        & ( hskp63
          | hskp31
          | hskp32 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | hskp67 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | ~ c0_1(X51)
                | ~ c3_1(X51) ) )
          | hskp61
          | hskp33 )
        & ( hskp34
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c3_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c0_1(X53)
                | ~ c2_1(X53) ) ) )
        & ( hskp35
          | hskp68
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) )
          | hskp13 )
        & ( hskp69
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c2_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c0_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp70
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c0_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c0_1(X60)
                | c3_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | hskp0 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) )
          | hskp36
          | hskp71 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c1_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c0_1(X66)
                | ~ c2_1(X66) ) ) )
        & ( hskp37
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c0_1(X67)
                | c2_1(X67) ) )
          | hskp72 )
        & ( hskp73
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c3_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp74
          | hskp38
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | hskp47
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c1_1(X76)
                | c3_1(X76) ) )
          | hskp57
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) ) )
        & ( hskp39
          | ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c3_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c1_1(X80)
                | ~ c3_1(X80) ) )
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c1_1(X81)
                | ~ c3_1(X81) ) ) )
        & ( hskp61
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c2_1(X83)
                | c3_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | ~ c1_1(X84) ) )
          | hskp75
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c2_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c2_1(X86)
                | c3_1(X86) ) )
          | hskp40
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c1_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c1_1(X88)
                | c0_1(X88) ) )
          | hskp41
          | hskp30 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1637)
        & c0_1(a1637)
        & ~ c2_1(a1637) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a1643)
        & c3_1(a1643)
        & ~ c2_1(a1643) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a1645)
        & ~ c0_1(a1645)
        & ~ c3_1(a1645) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1646)
        & ~ c1_1(a1646)
        & ~ c2_1(a1646) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1647)
        & ~ c0_1(a1647)
        & ~ c2_1(a1647) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a1648)
        & ~ c1_1(a1648)
        & ~ c0_1(a1648) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a1650)
        & ~ c2_1(a1650)
        & ~ c3_1(a1650) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a1655)
        & c0_1(a1655)
        & ~ c2_1(a1655) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a1657)
        & ~ c1_1(a1657)
        & ~ c0_1(a1657) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c3_1(a1660)
        & ~ c0_1(a1660)
        & ~ c1_1(a1660) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a1663)
        & ~ c3_1(a1663)
        & ~ c0_1(a1663) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a1664)
        & ~ c2_1(a1664)
        & ~ c1_1(a1664) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1666)
        & c3_1(a1666)
        & ~ c1_1(a1666) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1667)
        & c3_1(a1667)
        & ~ c1_1(a1667) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1671)
        & ~ c1_1(a1671)
        & ~ c3_1(a1671) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a1672)
        & c1_1(a1672)
        & ~ c0_1(a1672) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a1677)
        & ~ c2_1(a1677)
        & ~ c1_1(a1677) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1678)
        & ~ c1_1(a1678)
        & ~ c2_1(a1678) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a1680)
        & ~ c1_1(a1680)
        & ~ c0_1(a1680) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a1681)
        & ~ c3_1(a1681)
        & ~ c2_1(a1681) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c2_1(a1682)
        & ~ c1_1(a1682)
        & ~ c3_1(a1682) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a1683)
        & c2_1(a1683)
        & ~ c1_1(a1683) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a1684)
        & c2_1(a1684)
        & ~ c3_1(a1684) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1685)
        & c2_1(a1685)
        & ~ c1_1(a1685) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a1689)
        & c3_1(a1689)
        & ~ c1_1(a1689) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a1690)
        & ~ c0_1(a1690)
        & ~ c1_1(a1690) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a1691)
        & ~ c1_1(a1691)
        & ~ c2_1(a1691) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a1693)
        & ~ c3_1(a1693)
        & ~ c2_1(a1693) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c1_1(a1694)
        & c2_1(a1694)
        & ~ c3_1(a1694) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a1695)
        & c0_1(a1695)
        & ~ c3_1(a1695) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a1698)
        & c3_1(a1698)
        & ~ c0_1(a1698) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a1700)
        & ~ c0_1(a1700)
        & ~ c3_1(a1700) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c1_1(a1701)
        & c0_1(a1701)
        & ~ c3_1(a1701) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c3_1(a1704)
        & ~ c0_1(a1704)
        & ~ c2_1(a1704) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & c2_1(a1705)
        & ~ c3_1(a1705)
        & ~ c1_1(a1705) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ c0_1(a1706)
        & ~ c3_1(a1706)
        & ~ c1_1(a1706) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ~ c2_1(a1712)
        & ~ c0_1(a1712)
        & ~ c1_1(a1712) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c2_1(a1714)
        & c0_1(a1714)
        & ~ c1_1(a1714) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c3_1(a1718)
        & ~ c2_1(a1718)
        & ~ c0_1(a1718) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a1721)
        & c3_1(a1721)
        & ~ c0_1(a1721) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c1_1(a1725)
        & c3_1(a1725)
        & ~ c2_1(a1725) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c0_1(a1726)
        & c2_1(a1726)
        & ~ c1_1(a1726) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & c1_1(a1638)
        & ~ c3_1(a1638)
        & c0_1(a1638) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c1_1(a1639)
        & c2_1(a1639)
        & c0_1(a1639) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c3_1(a1640)
        & c2_1(a1640)
        & c1_1(a1640) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c3_1(a1641)
        & ~ c1_1(a1641)
        & c2_1(a1641) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c2_1(a1642)
        & ~ c1_1(a1642)
        & c0_1(a1642) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c1_1(a1644)
        & ~ c0_1(a1644)
        & c3_1(a1644) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a1649)
        & ~ c2_1(a1649)
        & c0_1(a1649) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & c3_1(a1651)
        & ~ c2_1(a1651)
        & c1_1(a1651) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & c3_1(a1652)
        & c2_1(a1652)
        & c0_1(a1652) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a1653)
        & ~ c0_1(a1653)
        & c1_1(a1653) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c0_1(a1654)
        & c2_1(a1654)
        & c3_1(a1654) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ~ c3_1(a1656)
        & c2_1(a1656)
        & c0_1(a1656) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a1658)
        & ~ c0_1(a1658)
        & c1_1(a1658) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ c2_1(a1661)
        & ~ c3_1(a1661)
        & c1_1(a1661) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & c0_1(a1662)
        & ~ c2_1(a1662)
        & c1_1(a1662) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c0_1(a1665)
        & ~ c1_1(a1665)
        & c3_1(a1665) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a1668)
        & ~ c1_1(a1668)
        & c3_1(a1668) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & c3_1(a1669)
        & ~ c2_1(a1669)
        & c0_1(a1669) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & ~ c1_1(a1673)
        & c3_1(a1673)
        & c2_1(a1673) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c1_1(a1674)
        & ~ c2_1(a1674)
        & c3_1(a1674) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ c3_1(a1675)
        & c1_1(a1675)
        & c0_1(a1675) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c0_1(a1676)
        & c2_1(a1676)
        & c3_1(a1676) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & ~ c3_1(a1686)
        & ~ c1_1(a1686)
        & c0_1(a1686) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & ~ c3_1(a1687)
        & ~ c0_1(a1687)
        & c2_1(a1687) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & ~ c1_1(a1692)
        & ~ c2_1(a1692)
        & c0_1(a1692) ) )
    & ( ~ hskp67
      | ( ndr1_0
        & c1_1(a1702)
        & c2_1(a1702)
        & c3_1(a1702) ) )
    & ( ~ hskp68
      | ( ndr1_0
        & ~ c1_1(a1707)
        & c3_1(a1707)
        & c0_1(a1707) ) )
    & ( ~ hskp69
      | ( ndr1_0
        & ~ c1_1(a1709)
        & c0_1(a1709)
        & c3_1(a1709) ) )
    & ( ~ hskp70
      | ( ndr1_0
        & ~ c0_1(a1710)
        & ~ c3_1(a1710)
        & c1_1(a1710) ) )
    & ( ~ hskp71
      | ( ndr1_0
        & ~ c2_1(a1713)
        & c3_1(a1713)
        & c0_1(a1713) ) )
    & ( ~ hskp72
      | ( ndr1_0
        & ~ c2_1(a1715)
        & c1_1(a1715)
        & c3_1(a1715) ) )
    & ( ~ hskp73
      | ( ndr1_0
        & c2_1(a1716)
        & ~ c3_1(a1716)
        & c0_1(a1716) ) )
    & ( ~ hskp74
      | ( ndr1_0
        & ~ c3_1(a1717)
        & c0_1(a1717)
        & c2_1(a1717) ) )
    & ( ~ hskp75
      | ( ndr1_0
        & c0_1(a1724)
        & ~ c2_1(a1724)
        & c3_1(a1724) ) )
    & ( hskp0
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c0_1(X0)
            | c3_1(X0) ) )
      | hskp42 )
    & ( hskp43
      | hskp44
      | hskp45 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | ~ c1_1(X1)
            | c2_1(X1) ) )
      | hskp46
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | c0_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c0_1(X3)
            | c3_1(X3) ) )
      | hskp1
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp47
      | hskp2
      | hskp3 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c0_1(X5)
            | ~ c3_1(X5) ) )
      | hskp4
      | hskp5 )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c3_1(X6)
            | c2_1(X6) ) )
      | hskp48
      | hskp6 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c0_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | c2_1(X8)
            | c0_1(X8) ) )
      | hskp49 )
    & ( hskp50
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | ~ c2_1(X9) ) )
      | hskp51 )
    & ( hskp52
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) )
      | hskp7 )
    & ( hskp53
      | hskp8
      | hskp54 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | c3_1(X11)
            | c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c3_1(X13)
            | ~ c2_1(X13) ) ) )
    & ( hskp2
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | ~ c0_1(X15) ) ) )
    & ( hskp9
      | hskp55
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c2_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | c0_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | ~ c3_1(X19)
            | ~ c0_1(X19) ) ) )
    & ( hskp56
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c3_1(X20)
            | c0_1(X20) ) )
      | hskp10 )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c2_1(X21)
            | ~ c3_1(X21) ) )
      | hskp11
      | hskp57 )
    & ( hskp12
      | hskp13
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c3_1(X22)
            | ~ c1_1(X22) ) ) )
    & ( hskp58
      | hskp59
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | ~ c0_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp10
      | hskp14
      | hskp15 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( hskp60
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | ~ c2_1(X28)
            | c1_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c3_1(X29)
            | c0_1(X29) ) )
      | hskp61
      | hskp62 )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | ~ c2_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | ~ c3_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp63
      | ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | ~ c0_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c1_1(X35)
            | ~ c3_1(X35) ) )
      | hskp16
      | hskp17 )
    & ( hskp60
      | hskp18
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | ~ c2_1(X36)
            | c3_1(X36) ) ) )
    & ( hskp19
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | ~ c1_1(X37)
            | c3_1(X37) ) )
      | hskp20 )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c0_1(X38)
            | c2_1(X38) ) )
      | hskp21
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c3_1(X39) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | c0_1(X40)
            | c3_1(X40) ) )
      | hskp22
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c0_1(X41)
            | c2_1(X41) ) ) )
    & ( hskp23
      | hskp64
      | hskp65 )
    & ( hskp61
      | hskp24
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp25
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c0_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c3_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c3_1(X45)
            | ~ c0_1(X45) ) )
      | hskp26
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c3_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp66
      | hskp27
      | hskp28 )
    & ( hskp29
      | hskp52
      | hskp53 )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c1_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c3_1(X48)
            | c1_1(X48) ) )
      | hskp30 )
    & ( hskp63
      | hskp31
      | hskp32 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | ~ c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c0_1(X50)
            | c1_1(X50) ) )
      | hskp67 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | ~ c0_1(X51)
            | ~ c3_1(X51) ) )
      | hskp61
      | hskp33 )
    & ( hskp34
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c3_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c0_1(X53)
            | ~ c2_1(X53) ) ) )
    & ( hskp35
      | hskp68
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | c2_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | ~ c3_1(X56) ) )
      | hskp13 )
    & ( hskp69
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c2_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c0_1(X58)
            | c1_1(X58) ) ) )
    & ( hskp70
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c0_1(X59)
            | ~ c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c0_1(X60)
            | c3_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | ~ c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | hskp0 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) )
      | hskp36
      | hskp71 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c1_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | ~ c0_1(X66)
            | ~ c2_1(X66) ) ) )
    & ( hskp37
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c0_1(X67)
            | c2_1(X67) ) )
      | hskp72 )
    & ( hskp73
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c3_1(X68)
            | c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp74
      | hskp38
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | ~ c0_1(X70) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | ~ c3_1(X71) ) )
      | hskp47
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c3_1(X72)
            | c2_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c1_1(X76)
            | c3_1(X76) ) )
      | hskp57
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) ) )
    & ( hskp39
      | ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c3_1(X78)
            | ~ c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c1_1(X80)
            | ~ c3_1(X80) ) )
      | hskp29
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c1_1(X81)
            | ~ c3_1(X81) ) ) )
    & ( hskp61
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c2_1(X83)
            | c3_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | c3_1(X84)
            | ~ c1_1(X84) ) )
      | hskp75
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c2_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c2_1(X86)
            | c3_1(X86) ) )
      | hskp40
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c1_1(X87)
            | ~ c3_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | ~ c1_1(X88)
            | c0_1(X88) ) )
      | hskp41
      | hskp30 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1637)
        & c0_1(a1637)
        & ~ c2_1(a1637) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a1643)
        & c3_1(a1643)
        & ~ c2_1(a1643) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a1645)
        & ~ c0_1(a1645)
        & ~ c3_1(a1645) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1646)
        & ~ c1_1(a1646)
        & ~ c2_1(a1646) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1647)
        & ~ c0_1(a1647)
        & ~ c2_1(a1647) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a1648)
        & ~ c1_1(a1648)
        & ~ c0_1(a1648) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a1650)
        & ~ c2_1(a1650)
        & ~ c3_1(a1650) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a1655)
        & c0_1(a1655)
        & ~ c2_1(a1655) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a1657)
        & ~ c1_1(a1657)
        & ~ c0_1(a1657) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c3_1(a1660)
        & ~ c0_1(a1660)
        & ~ c1_1(a1660) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a1663)
        & ~ c3_1(a1663)
        & ~ c0_1(a1663) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a1664)
        & ~ c2_1(a1664)
        & ~ c1_1(a1664) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1666)
        & c3_1(a1666)
        & ~ c1_1(a1666) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1667)
        & c3_1(a1667)
        & ~ c1_1(a1667) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1671)
        & ~ c1_1(a1671)
        & ~ c3_1(a1671) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a1672)
        & c1_1(a1672)
        & ~ c0_1(a1672) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a1677)
        & ~ c2_1(a1677)
        & ~ c1_1(a1677) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1678)
        & ~ c1_1(a1678)
        & ~ c2_1(a1678) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a1680)
        & ~ c1_1(a1680)
        & ~ c0_1(a1680) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a1681)
        & ~ c3_1(a1681)
        & ~ c2_1(a1681) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c2_1(a1682)
        & ~ c1_1(a1682)
        & ~ c3_1(a1682) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a1683)
        & c2_1(a1683)
        & ~ c1_1(a1683) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a1684)
        & c2_1(a1684)
        & ~ c3_1(a1684) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1685)
        & c2_1(a1685)
        & ~ c1_1(a1685) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a1689)
        & c3_1(a1689)
        & ~ c1_1(a1689) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a1690)
        & ~ c0_1(a1690)
        & ~ c1_1(a1690) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a1691)
        & ~ c1_1(a1691)
        & ~ c2_1(a1691) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a1693)
        & ~ c3_1(a1693)
        & ~ c2_1(a1693) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c1_1(a1694)
        & c2_1(a1694)
        & ~ c3_1(a1694) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a1695)
        & c0_1(a1695)
        & ~ c3_1(a1695) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a1698)
        & c3_1(a1698)
        & ~ c0_1(a1698) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a1700)
        & ~ c0_1(a1700)
        & ~ c3_1(a1700) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c1_1(a1701)
        & c0_1(a1701)
        & ~ c3_1(a1701) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c3_1(a1704)
        & ~ c0_1(a1704)
        & ~ c2_1(a1704) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & c2_1(a1705)
        & ~ c3_1(a1705)
        & ~ c1_1(a1705) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ c0_1(a1706)
        & ~ c3_1(a1706)
        & ~ c1_1(a1706) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ~ c2_1(a1712)
        & ~ c0_1(a1712)
        & ~ c1_1(a1712) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c2_1(a1714)
        & c0_1(a1714)
        & ~ c1_1(a1714) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c3_1(a1718)
        & ~ c2_1(a1718)
        & ~ c0_1(a1718) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a1721)
        & c3_1(a1721)
        & ~ c0_1(a1721) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c1_1(a1725)
        & c3_1(a1725)
        & ~ c2_1(a1725) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c0_1(a1726)
        & c2_1(a1726)
        & ~ c1_1(a1726) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & c1_1(a1638)
        & ~ c3_1(a1638)
        & c0_1(a1638) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c1_1(a1639)
        & c2_1(a1639)
        & c0_1(a1639) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c3_1(a1640)
        & c2_1(a1640)
        & c1_1(a1640) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c3_1(a1641)
        & ~ c1_1(a1641)
        & c2_1(a1641) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c2_1(a1642)
        & ~ c1_1(a1642)
        & c0_1(a1642) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c1_1(a1644)
        & ~ c0_1(a1644)
        & c3_1(a1644) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a1649)
        & ~ c2_1(a1649)
        & c0_1(a1649) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & c3_1(a1651)
        & ~ c2_1(a1651)
        & c1_1(a1651) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & c3_1(a1652)
        & c2_1(a1652)
        & c0_1(a1652) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a1653)
        & ~ c0_1(a1653)
        & c1_1(a1653) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c0_1(a1654)
        & c2_1(a1654)
        & c3_1(a1654) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ~ c3_1(a1656)
        & c2_1(a1656)
        & c0_1(a1656) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a1658)
        & ~ c0_1(a1658)
        & c1_1(a1658) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ c2_1(a1661)
        & ~ c3_1(a1661)
        & c1_1(a1661) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & c0_1(a1662)
        & ~ c2_1(a1662)
        & c1_1(a1662) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c0_1(a1665)
        & ~ c1_1(a1665)
        & c3_1(a1665) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a1668)
        & ~ c1_1(a1668)
        & c3_1(a1668) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & c3_1(a1669)
        & ~ c2_1(a1669)
        & c0_1(a1669) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & ~ c1_1(a1673)
        & c3_1(a1673)
        & c2_1(a1673) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c1_1(a1674)
        & ~ c2_1(a1674)
        & c3_1(a1674) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ c3_1(a1675)
        & c1_1(a1675)
        & c0_1(a1675) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c0_1(a1676)
        & c2_1(a1676)
        & c3_1(a1676) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & ~ c3_1(a1686)
        & ~ c1_1(a1686)
        & c0_1(a1686) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & ~ c3_1(a1687)
        & ~ c0_1(a1687)
        & c2_1(a1687) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & ~ c1_1(a1692)
        & ~ c2_1(a1692)
        & c0_1(a1692) ) )
    & ( ~ hskp67
      | ( ndr1_0
        & c1_1(a1702)
        & c2_1(a1702)
        & c3_1(a1702) ) )
    & ( ~ hskp68
      | ( ndr1_0
        & ~ c1_1(a1707)
        & c3_1(a1707)
        & c0_1(a1707) ) )
    & ( ~ hskp69
      | ( ndr1_0
        & ~ c1_1(a1709)
        & c0_1(a1709)
        & c3_1(a1709) ) )
    & ( ~ hskp70
      | ( ndr1_0
        & ~ c0_1(a1710)
        & ~ c3_1(a1710)
        & c1_1(a1710) ) )
    & ( ~ hskp71
      | ( ndr1_0
        & ~ c2_1(a1713)
        & c3_1(a1713)
        & c0_1(a1713) ) )
    & ( ~ hskp72
      | ( ndr1_0
        & ~ c2_1(a1715)
        & c1_1(a1715)
        & c3_1(a1715) ) )
    & ( ~ hskp73
      | ( ndr1_0
        & c2_1(a1716)
        & ~ c3_1(a1716)
        & c0_1(a1716) ) )
    & ( ~ hskp74
      | ( ndr1_0
        & ~ c3_1(a1717)
        & c0_1(a1717)
        & c2_1(a1717) ) )
    & ( ~ hskp75
      | ( ndr1_0
        & c0_1(a1724)
        & ~ c2_1(a1724)
        & c3_1(a1724) ) )
    & ( hskp0
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c0_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | hskp42 )
    & ( hskp43
      | hskp44
      | hskp45 )
    & ( ! [X1] :
          ( c0_1(X1)
          | ~ c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | hskp46
      | ! [X2] :
          ( ~ c2_1(X2)
          | c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c2_1(X3)
          | c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp1
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp47
      | hskp2
      | hskp3 )
    & ( ! [X5] :
          ( c1_1(X5)
          | c0_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | ~ c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp48
      | hskp6 )
    & ( ! [X7] :
          ( c2_1(X7)
          | c0_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c2_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 )
      | hskp49 )
    & ( hskp50
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp51 )
    & ( hskp52
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp53
      | hskp8
      | hskp54 )
    & ( ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X14] :
          ( c3_1(X14)
          | c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp55
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | ~ c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp56
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X21] :
          ( ~ c0_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp11
      | hskp57 )
    & ( hskp12
      | hskp13
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp58
      | hskp59
      | ! [X23] :
          ( c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | hskp15 )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | c2_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp60
      | ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | ~ c3_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 )
      | hskp61
      | hskp62 )
    & ( ! [X30] :
          ( ~ c1_1(X30)
          | ~ c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp63
      | ! [X33] :
          ( c1_1(X33)
          | ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( hskp60
      | hskp18
      | ! [X36] :
          ( c1_1(X36)
          | ~ c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X38] :
          ( ~ c1_1(X38)
          | c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | hskp21
      | ! [X39] :
          ( ~ c1_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c2_1(X40)
          | c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | hskp22
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp64
      | hskp65 )
    & ( hskp61
      | hskp24
      | ! [X42] :
          ( ~ c3_1(X42)
          | c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X43] :
          ( c1_1(X43)
          | c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c3_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp26
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp66
      | hskp27
      | hskp28 )
    & ( hskp29
      | hskp52
      | hskp53 )
    & ( ! [X47] :
          ( ~ c0_1(X47)
          | ~ c1_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c0_1(X48)
          | ~ c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp63
      | hskp31
      | hskp32 )
    & ( ! [X49] :
          ( c1_1(X49)
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | hskp67 )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp61
      | hskp33 )
    & ( hskp34
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c3_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp35
      | hskp68
      | ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp69
      | ! [X57] :
          ( ~ c1_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp70
      | ! [X59] :
          ( c1_1(X59)
          | c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c0_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X63] :
          ( c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp36
      | hskp71 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c1_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp37
      | ! [X67] :
          ( c3_1(X67)
          | c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | hskp72 )
    & ( hskp73
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp74
      | hskp38
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp47
      | ! [X72] :
          ( ~ c0_1(X72)
          | c3_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | hskp57
      | ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp39
      | ! [X78] :
          ( c0_1(X78)
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c0_1(X80)
          | c1_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp29
      | ! [X81] :
          ( ~ c0_1(X81)
          | c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp61
      | ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | c2_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp75
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp40
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | hskp41
      | hskp30 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1637)
        & c0_1(a1637)
        & ~ c2_1(a1637) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a1643)
        & c3_1(a1643)
        & ~ c2_1(a1643) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a1645)
        & ~ c0_1(a1645)
        & ~ c3_1(a1645) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1646)
        & ~ c1_1(a1646)
        & ~ c2_1(a1646) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1647)
        & ~ c0_1(a1647)
        & ~ c2_1(a1647) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a1648)
        & ~ c1_1(a1648)
        & ~ c0_1(a1648) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a1650)
        & ~ c2_1(a1650)
        & ~ c3_1(a1650) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a1655)
        & c0_1(a1655)
        & ~ c2_1(a1655) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a1657)
        & ~ c1_1(a1657)
        & ~ c0_1(a1657) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c3_1(a1660)
        & ~ c0_1(a1660)
        & ~ c1_1(a1660) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a1663)
        & ~ c3_1(a1663)
        & ~ c0_1(a1663) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a1664)
        & ~ c2_1(a1664)
        & ~ c1_1(a1664) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a1666)
        & c3_1(a1666)
        & ~ c1_1(a1666) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1667)
        & c3_1(a1667)
        & ~ c1_1(a1667) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1671)
        & ~ c1_1(a1671)
        & ~ c3_1(a1671) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a1672)
        & c1_1(a1672)
        & ~ c0_1(a1672) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a1677)
        & ~ c2_1(a1677)
        & ~ c1_1(a1677) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1678)
        & ~ c1_1(a1678)
        & ~ c2_1(a1678) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a1680)
        & ~ c1_1(a1680)
        & ~ c0_1(a1680) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a1681)
        & ~ c3_1(a1681)
        & ~ c2_1(a1681) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c2_1(a1682)
        & ~ c1_1(a1682)
        & ~ c3_1(a1682) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a1683)
        & c2_1(a1683)
        & ~ c1_1(a1683) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a1684)
        & c2_1(a1684)
        & ~ c3_1(a1684) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1685)
        & c2_1(a1685)
        & ~ c1_1(a1685) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a1689)
        & c3_1(a1689)
        & ~ c1_1(a1689) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a1690)
        & ~ c0_1(a1690)
        & ~ c1_1(a1690) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a1691)
        & ~ c1_1(a1691)
        & ~ c2_1(a1691) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a1693)
        & ~ c3_1(a1693)
        & ~ c2_1(a1693) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c1_1(a1694)
        & c2_1(a1694)
        & ~ c3_1(a1694) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a1695)
        & c0_1(a1695)
        & ~ c3_1(a1695) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a1698)
        & c3_1(a1698)
        & ~ c0_1(a1698) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a1700)
        & ~ c0_1(a1700)
        & ~ c3_1(a1700) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c1_1(a1701)
        & c0_1(a1701)
        & ~ c3_1(a1701) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c3_1(a1704)
        & ~ c0_1(a1704)
        & ~ c2_1(a1704) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & c2_1(a1705)
        & ~ c3_1(a1705)
        & ~ c1_1(a1705) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ c0_1(a1706)
        & ~ c3_1(a1706)
        & ~ c1_1(a1706) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ~ c2_1(a1712)
        & ~ c0_1(a1712)
        & ~ c1_1(a1712) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c2_1(a1714)
        & c0_1(a1714)
        & ~ c1_1(a1714) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c3_1(a1718)
        & ~ c2_1(a1718)
        & ~ c0_1(a1718) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a1721)
        & c3_1(a1721)
        & ~ c0_1(a1721) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c1_1(a1725)
        & c3_1(a1725)
        & ~ c2_1(a1725) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c0_1(a1726)
        & c2_1(a1726)
        & ~ c1_1(a1726) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & c1_1(a1638)
        & ~ c3_1(a1638)
        & c0_1(a1638) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c1_1(a1639)
        & c2_1(a1639)
        & c0_1(a1639) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c3_1(a1640)
        & c2_1(a1640)
        & c1_1(a1640) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c3_1(a1641)
        & ~ c1_1(a1641)
        & c2_1(a1641) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c2_1(a1642)
        & ~ c1_1(a1642)
        & c0_1(a1642) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c1_1(a1644)
        & ~ c0_1(a1644)
        & c3_1(a1644) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a1649)
        & ~ c2_1(a1649)
        & c0_1(a1649) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & c3_1(a1651)
        & ~ c2_1(a1651)
        & c1_1(a1651) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & c3_1(a1652)
        & c2_1(a1652)
        & c0_1(a1652) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a1653)
        & ~ c0_1(a1653)
        & c1_1(a1653) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c0_1(a1654)
        & c2_1(a1654)
        & c3_1(a1654) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ~ c3_1(a1656)
        & c2_1(a1656)
        & c0_1(a1656) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a1658)
        & ~ c0_1(a1658)
        & c1_1(a1658) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ c2_1(a1661)
        & ~ c3_1(a1661)
        & c1_1(a1661) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & c0_1(a1662)
        & ~ c2_1(a1662)
        & c1_1(a1662) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c0_1(a1665)
        & ~ c1_1(a1665)
        & c3_1(a1665) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a1668)
        & ~ c1_1(a1668)
        & c3_1(a1668) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & c3_1(a1669)
        & ~ c2_1(a1669)
        & c0_1(a1669) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & ~ c1_1(a1673)
        & c3_1(a1673)
        & c2_1(a1673) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c1_1(a1674)
        & ~ c2_1(a1674)
        & c3_1(a1674) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ c3_1(a1675)
        & c1_1(a1675)
        & c0_1(a1675) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c0_1(a1676)
        & c2_1(a1676)
        & c3_1(a1676) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & ~ c3_1(a1686)
        & ~ c1_1(a1686)
        & c0_1(a1686) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & ~ c3_1(a1687)
        & ~ c0_1(a1687)
        & c2_1(a1687) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & ~ c1_1(a1692)
        & ~ c2_1(a1692)
        & c0_1(a1692) ) )
    & ( ~ hskp67
      | ( ndr1_0
        & c1_1(a1702)
        & c2_1(a1702)
        & c3_1(a1702) ) )
    & ( ~ hskp68
      | ( ndr1_0
        & ~ c1_1(a1707)
        & c3_1(a1707)
        & c0_1(a1707) ) )
    & ( ~ hskp69
      | ( ndr1_0
        & ~ c1_1(a1709)
        & c0_1(a1709)
        & c3_1(a1709) ) )
    & ( ~ hskp70
      | ( ndr1_0
        & ~ c0_1(a1710)
        & ~ c3_1(a1710)
        & c1_1(a1710) ) )
    & ( ~ hskp71
      | ( ndr1_0
        & ~ c2_1(a1713)
        & c3_1(a1713)
        & c0_1(a1713) ) )
    & ( ~ hskp72
      | ( ndr1_0
        & ~ c2_1(a1715)
        & c1_1(a1715)
        & c3_1(a1715) ) )
    & ( ~ hskp73
      | ( ndr1_0
        & c2_1(a1716)
        & ~ c3_1(a1716)
        & c0_1(a1716) ) )
    & ( ~ hskp74
      | ( ndr1_0
        & ~ c3_1(a1717)
        & c0_1(a1717)
        & c2_1(a1717) ) )
    & ( ~ hskp75
      | ( ndr1_0
        & c0_1(a1724)
        & ~ c2_1(a1724)
        & c3_1(a1724) ) )
    & ( hskp0
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c0_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | hskp42 )
    & ( hskp43
      | hskp44
      | hskp45 )
    & ( ! [X1] :
          ( c0_1(X1)
          | ~ c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | hskp46
      | ! [X2] :
          ( ~ c2_1(X2)
          | c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c2_1(X3)
          | c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp1
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp47
      | hskp2
      | hskp3 )
    & ( ! [X5] :
          ( c1_1(X5)
          | c0_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | ~ c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp48
      | hskp6 )
    & ( ! [X7] :
          ( c2_1(X7)
          | c0_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c2_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 )
      | hskp49 )
    & ( hskp50
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp51 )
    & ( hskp52
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp53
      | hskp8
      | hskp54 )
    & ( ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X14] :
          ( c3_1(X14)
          | c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp55
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | ~ c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp56
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X21] :
          ( ~ c0_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp11
      | hskp57 )
    & ( hskp12
      | hskp13
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp58
      | hskp59
      | ! [X23] :
          ( c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | hskp15 )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | c2_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp60
      | ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | ~ c3_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 )
      | hskp61
      | hskp62 )
    & ( ! [X30] :
          ( ~ c1_1(X30)
          | ~ c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp63
      | ! [X33] :
          ( c1_1(X33)
          | ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( hskp60
      | hskp18
      | ! [X36] :
          ( c1_1(X36)
          | ~ c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X38] :
          ( ~ c1_1(X38)
          | c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | hskp21
      | ! [X39] :
          ( ~ c1_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c2_1(X40)
          | c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | hskp22
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp64
      | hskp65 )
    & ( hskp61
      | hskp24
      | ! [X42] :
          ( ~ c3_1(X42)
          | c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X43] :
          ( c1_1(X43)
          | c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c3_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp26
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp66
      | hskp27
      | hskp28 )
    & ( hskp29
      | hskp52
      | hskp53 )
    & ( ! [X47] :
          ( ~ c0_1(X47)
          | ~ c1_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c0_1(X48)
          | ~ c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp63
      | hskp31
      | hskp32 )
    & ( ! [X49] :
          ( c1_1(X49)
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | hskp67 )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp61
      | hskp33 )
    & ( hskp34
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c3_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp35
      | hskp68
      | ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp69
      | ! [X57] :
          ( ~ c1_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp70
      | ! [X59] :
          ( c1_1(X59)
          | c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c0_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X63] :
          ( c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp36
      | hskp71 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c1_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp37
      | ! [X67] :
          ( c3_1(X67)
          | c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | hskp72 )
    & ( hskp73
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp74
      | hskp38
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp47
      | ! [X72] :
          ( ~ c0_1(X72)
          | c3_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | hskp57
      | ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp39
      | ! [X78] :
          ( c0_1(X78)
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c0_1(X80)
          | c1_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp29
      | ! [X81] :
          ( ~ c0_1(X81)
          | c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp61
      | ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | c2_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp75
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp40
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | hskp41
      | hskp30 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | ~ c2_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | hskp40
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X82,X83] :
      ( hskp61
      | c2_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | c2_1(X83)
      | c3_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X80,X81] :
      ( c0_1(X80)
      | c1_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp29
      | ~ c0_1(X81)
      | c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X78,X79] :
      ( hskp39
      | c0_1(X78)
      | ~ c3_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | ~ c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X76,X77] :
      ( ~ c2_1(X76)
      | c1_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | hskp57
      | c2_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X73,X74,X75] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X75)
      | c2_1(X75)
      | c1_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | hskp47
      | ~ c0_1(X72)
      | c3_1(X72)
      | c2_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X68,X69] :
      ( hskp73
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X67] :
      ( hskp37
      | c3_1(X67)
      | c0_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | hskp72 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X65,X66,X64] :
      ( c2_1(X64)
      | c1_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0
      | c3_1(X66)
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X58,X57] :
      ( hskp69
      | ~ c1_1(X57)
      | c2_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | c0_1(X58)
      | c1_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X56,X55] :
      ( c2_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X52,X53] :
      ( hskp34
      | ~ c1_1(X52)
      | ~ c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c0_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | hskp67 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X48,X47] :
      ( ~ c0_1(X47)
      | ~ c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c0_1(X48)
      | ~ c3_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ( hskp29
    | hskp52
    | hskp53 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ( hskp66
    | hskp27
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X46,X45] :
      ( ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | hskp26
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X44,X43] :
      ( hskp25
      | c1_1(X43)
      | c0_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | ~ c1_1(X44)
      | ~ c3_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X38,X39] :
      ( ~ c1_1(X38)
      | c0_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | hskp21
      | ~ c1_1(X39)
      | c2_1(X39)
      | c3_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X37] :
      ( hskp19
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X35] :
      ( ~ c0_1(X35)
      | c1_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X31,X32,X30] :
      ( ~ c1_1(X30)
      | ~ c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | ~ c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ( hskp10
    | hskp14
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X21] :
      ( ~ c0_1(X21)
      | c2_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp11
      | hskp57 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X16] :
      ( hskp9
      | hskp55
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | c3_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X11,X12,X13] :
      ( c2_1(X11)
      | c3_1(X11)
      | c0_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X10] :
      ( hskp52
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X6] :
      ( ~ c0_1(X6)
      | ~ c3_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | hskp48
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ( hskp47
    | hskp2
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X3,X4] :
      ( c2_1(X3)
      | c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | hskp1
      | c1_1(X4)
      | ~ c0_1(X4)
      | c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X0] :
      ( hskp0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp42 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp73
    | c0_1(a1716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp73
    | ~ c3_1(a1716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp73
    | c2_1(a1716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp72
    | c3_1(a1715) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp72
    | c1_1(a1715) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp72
    | ~ c2_1(a1715) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp69
    | c3_1(a1709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp69
    | c0_1(a1709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp69
    | ~ c1_1(a1709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp67
    | c3_1(a1702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp67
    | c2_1(a1702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp67
    | c1_1(a1702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp66
    | c0_1(a1692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp66
    | ~ c2_1(a1692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp66
    | ~ c1_1(a1692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp61
    | c3_1(a1674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp61
    | ~ c2_1(a1674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp61
    | ~ c1_1(a1674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp57
    | c3_1(a1665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp57
    | ~ c1_1(a1665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp57
    | c0_1(a1665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp55
    | c1_1(a1661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp55
    | ~ c3_1(a1661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp55
    | ~ c2_1(a1661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp53
    | c0_1(a1656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp53
    | c2_1(a1656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp53
    | ~ c3_1(a1656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp52
    | c3_1(a1654) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp52
    | c2_1(a1654) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp52
    | c0_1(a1654) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp48
    | c0_1(a1649) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp48
    | ~ c2_1(a1649) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp48
    | ~ c3_1(a1649) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp47
    | c3_1(a1644) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp47
    | ~ c0_1(a1644) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp47
    | ~ c1_1(a1644) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp47
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp42
    | c0_1(a1638) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp42
    | ~ c3_1(a1638) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp42
    | c1_1(a1638) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp40
    | ~ c2_1(a1725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp40
    | c3_1(a1725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp40
    | c1_1(a1725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp39
    | ~ c0_1(a1721) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp39
    | c3_1(a1721) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp39
    | ~ c1_1(a1721) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f218,plain,
    ( ~ hskp37
    | ~ c1_1(a1714) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f219,plain,
    ( ~ hskp37
    | c0_1(a1714) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f220,plain,
    ( ~ hskp37
    | c2_1(a1714) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f230,plain,
    ( ~ hskp34
    | ~ c1_1(a1705) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f231,plain,
    ( ~ hskp34
    | ~ c3_1(a1705) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f232,plain,
    ( ~ hskp34
    | c2_1(a1705) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f246,plain,
    ( ~ hskp30
    | ~ c0_1(a1698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f247,plain,
    ( ~ hskp30
    | c3_1(a1698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f248,plain,
    ( ~ hskp30
    | c1_1(a1698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f250,plain,
    ( ~ hskp29
    | ~ c3_1(a1695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f251,plain,
    ( ~ hskp29
    | c0_1(a1695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f252,plain,
    ( ~ hskp29
    | c2_1(a1695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f254,plain,
    ( ~ hskp28
    | ~ c3_1(a1694) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f255,plain,
    ( ~ hskp28
    | c2_1(a1694) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f256,plain,
    ( ~ hskp28
    | ~ c1_1(a1694) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f258,plain,
    ( ~ hskp27
    | ~ c2_1(a1693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f259,plain,
    ( ~ hskp27
    | ~ c3_1(a1693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f260,plain,
    ( ~ hskp27
    | ~ c0_1(a1693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f262,plain,
    ( ~ hskp26
    | ~ c2_1(a1691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f263,plain,
    ( ~ hskp26
    | ~ c1_1(a1691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f264,plain,
    ( ~ hskp26
    | ~ c3_1(a1691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f266,plain,
    ( ~ hskp25
    | ~ c1_1(a1690) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f267,plain,
    ( ~ hskp25
    | ~ c0_1(a1690) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f268,plain,
    ( ~ hskp25
    | c2_1(a1690) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f282,plain,
    ( ~ hskp21
    | ~ c1_1(a1683) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f284,plain,
    ( ~ hskp21
    | c3_1(a1683) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f286,plain,
    ( ~ hskp20
    | ~ c3_1(a1682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f287,plain,
    ( ~ hskp20
    | ~ c1_1(a1682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f288,plain,
    ( ~ hskp20
    | ~ c2_1(a1682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f290,plain,
    ( ~ hskp19
    | ~ c2_1(a1681) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f291,plain,
    ( ~ hskp19
    | ~ c3_1(a1681) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f292,plain,
    ( ~ hskp19
    | ~ c1_1(a1681) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f298,plain,
    ( ~ hskp17
    | ~ c2_1(a1678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f299,plain,
    ( ~ hskp17
    | ~ c1_1(a1678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f300,plain,
    ( ~ hskp17
    | ~ c0_1(a1678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f302,plain,
    ( ~ hskp16
    | ~ c1_1(a1677) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f303,plain,
    ( ~ hskp16
    | ~ c2_1(a1677) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f304,plain,
    ( ~ hskp16
    | ~ c0_1(a1677) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f306,plain,
    ( ~ hskp15
    | ~ c0_1(a1672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f307,plain,
    ( ~ hskp15
    | c1_1(a1672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f308,plain,
    ( ~ hskp15
    | c3_1(a1672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f310,plain,
    ( ~ hskp14
    | ~ c3_1(a1671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f311,plain,
    ( ~ hskp14
    | ~ c1_1(a1671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f312,plain,
    ( ~ hskp14
    | c2_1(a1671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f314,plain,
    ( ~ hskp13
    | ~ c1_1(a1667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f315,plain,
    ( ~ hskp13
    | c3_1(a1667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f316,plain,
    ( ~ hskp13
    | c0_1(a1667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f322,plain,
    ( ~ hskp11
    | ~ c1_1(a1664) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f323,plain,
    ( ~ hskp11
    | ~ c2_1(a1664) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f324,plain,
    ( ~ hskp11
    | ~ c3_1(a1664) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f326,plain,
    ( ~ hskp10
    | ~ c0_1(a1663) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f327,plain,
    ( ~ hskp10
    | ~ c3_1(a1663) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f328,plain,
    ( ~ hskp10
    | ~ c2_1(a1663) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f330,plain,
    ( ~ hskp9
    | ~ c1_1(a1660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f331,plain,
    ( ~ hskp9
    | ~ c0_1(a1660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f332,plain,
    ( ~ hskp9
    | ~ c3_1(a1660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f338,plain,
    ( ~ hskp7
    | ~ c2_1(a1655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f339,plain,
    ( ~ hskp7
    | c0_1(a1655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f340,plain,
    ( ~ hskp7
    | c3_1(a1655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f342,plain,
    ( ~ hskp6
    | ~ c3_1(a1650) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f343,plain,
    ( ~ hskp6
    | ~ c2_1(a1650) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f344,plain,
    ( ~ hskp6
    | ~ c1_1(a1650) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f357,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f361,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f362,plain,
    ( ~ hskp1
    | ~ c2_1(a1643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f363,plain,
    ( ~ hskp1
    | c3_1(a1643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f364,plain,
    ( ~ hskp1
    | ~ c1_1(a1643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f366,plain,
    ( ~ hskp0
    | ~ c2_1(a1637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f367,plain,
    ( ~ hskp0
    | c0_1(a1637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f368,plain,
    ( ~ hskp0
    | c1_1(a1637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f370,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | ~ c2_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | hskp40
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ c3_1(X87) ),
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f372,plain,
    ! [X82,X83] :
      ( hskp61
      | c2_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | c2_1(X83)
      | c3_1(X83) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f373,plain,
    ! [X80,X81] :
      ( c0_1(X80)
      | c1_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp29
      | ~ c0_1(X81)
      | c1_1(X81)
      | ~ c3_1(X81) ),
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f374,plain,
    ! [X78,X79] :
      ( hskp39
      | c0_1(X78)
      | ~ c3_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | ~ c0_1(X79)
      | ~ c3_1(X79) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f375,plain,
    ! [X76,X77] :
      ( ~ c2_1(X76)
      | c1_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | hskp57
      | c2_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f376,plain,
    ! [X73,X74,X75] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ c0_1(X75)
      | c2_1(X75)
      | c1_1(X75) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f377,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | hskp47
      | ~ c0_1(X72)
      | c3_1(X72)
      | c2_1(X72) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f378,plain,
    ! [X68,X69] :
      ( hskp73
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | c1_1(X69) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f379,plain,
    ! [X65,X66,X64] :
      ( c2_1(X64)
      | c1_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | c3_1(X66)
      | ~ c0_1(X66)
      | ~ c2_1(X66) ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f382,plain,
    ! [X58,X57] :
      ( hskp69
      | ~ c1_1(X57)
      | c2_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | c0_1(X58)
      | c1_1(X58) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f383,plain,
    ! [X56,X55] :
      ( c2_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X56)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f384,plain,
    ! [X52,X53] :
      ( hskp34
      | ~ c1_1(X52)
      | ~ c3_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c2_1(X53) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f385,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c0_1(X50)
      | c1_1(X50)
      | hskp67 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f386,plain,
    ! [X48,X47] :
      ( ~ c0_1(X47)
      | ~ c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c0_1(X48)
      | ~ c3_1(X48)
      | c1_1(X48)
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f387,plain,
    ! [X46,X45] :
      ( ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | hskp26
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f388,plain,
    ! [X44,X43] :
      ( hskp25
      | c1_1(X43)
      | c0_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | ~ c1_1(X44)
      | ~ c3_1(X44)
      | c0_1(X44) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f390,plain,
    ! [X38,X39] :
      ( ~ c1_1(X38)
      | c0_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | hskp21
      | ~ c1_1(X39)
      | c2_1(X39)
      | c3_1(X39) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f392,plain,
    ! [X31,X32,X30] :
      ( ~ c1_1(X30)
      | ~ c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | ~ c3_1(X31)
      | c1_1(X31)
      | c0_1(X32)
      | ~ c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f397,plain,
    ! [X11,X12,X13] :
      ( c2_1(X11)
      | c3_1(X11)
      | c0_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ c0_1(X13)
      | ~ c3_1(X13)
      | ~ c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f399,plain,
    ! [X3,X4] :
      ( c2_1(X3)
      | c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | hskp1
      | c1_1(X4)
      | ~ c0_1(X4)
      | c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f402,definition,
    ( spl0_1
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f408,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f411,definition,
    ( spl0_4
  <=> ! [X88] :
        ( c2_1(X88)
        | c0_1(X88)
        | ~ c1_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | c0_1(X88)
        | c2_1(X88) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f415,definition,
    ( spl0_5
  <=> ! [X87] :
        ( ~ c0_1(X87)
        | ~ c3_1(X87)
        | ~ c1_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X87] :
        ( ~ c1_1(X87)
        | ~ c3_1(X87)
        | ~ c0_1(X87) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f418,definition,
    ( spl0_6
  <=> hskp40 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_7
  <=> ! [X86] :
        ( c1_1(X86)
        | c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X86] :
        ( c1_1(X86)
        | c3_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f370,f421,f408,f418,f415]) ).

fof(f425,definition,
    ( spl0_8
  <=> ! [X85] :
        ( ~ c3_1(X85)
        | c2_1(X85)
        | c1_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X85] :
        ( c1_1(X85)
        | c2_1(X85)
        | ~ c3_1(X85) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f431,definition,
    ( spl0_10
  <=> ! [X84] :
        ( ~ c2_1(X84)
        | ~ c1_1(X84)
        | c3_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X84] :
        ( ~ c1_1(X84)
        | ~ c2_1(X84)
        | c3_1(X84) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f435,definition,
    ( spl0_11
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | c3_1(X83)
        | c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X83] :
        ( c2_1(X83)
        | c3_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f438,definition,
    ( spl0_12
  <=> ! [X82] :
        ( c2_1(X82)
        | ~ c1_1(X82)
        | ~ c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X82] :
        ( ~ c1_1(X82)
        | c2_1(X82)
        | ~ c0_1(X82) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f441,definition,
    ( spl0_13
  <=> hskp61 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f443,plain,
    ( spl0_11
    | ~ spl0_3
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f372,f441,f438,f408,f435]) ).

fof(f445,definition,
    ( spl0_14
  <=> ! [X81] :
        ( ~ c0_1(X81)
        | ~ c3_1(X81)
        | c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | ~ c3_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f448,definition,
    ( spl0_15
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f451,definition,
    ( spl0_16
  <=> ! [X80] :
        ( c0_1(X80)
        | ~ c3_1(X80)
        | c1_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | ~ c3_1(X80)
        | c0_1(X80) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f373,f451,f408,f448,f445]) ).

fof(f455,definition,
    ( spl0_17
  <=> ! [X79] :
        ( c2_1(X79)
        | ~ c3_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X79] :
        ( c2_1(X79)
        | ~ c3_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f458,definition,
    ( spl0_18
  <=> ! [X78] :
        ( c0_1(X78)
        | ~ c2_1(X78)
        | ~ c3_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X78] :
        ( ~ c2_1(X78)
        | c0_1(X78)
        | ~ c3_1(X78) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f461,definition,
    ( spl0_19
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f463,plain,
    ( spl0_17
    | ~ spl0_3
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f374,f461,f458,f408,f455]) ).

fof(f465,definition,
    ( spl0_20
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f467,plain,
    ( spl0_11
    | spl0_20
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f375,f421,f408,f465,f435]) ).

fof(f469,definition,
    ( spl0_21
  <=> ! [X75] :
        ( ~ c0_1(X75)
        | c1_1(X75)
        | c2_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X75] :
        ( c1_1(X75)
        | ~ c0_1(X75)
        | c2_1(X75) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_21
    | spl0_5
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f376,f425,f408,f415,f469]) ).

fof(f473,definition,
    ( spl0_22
  <=> hskp47 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f475,plain,
    ( spl0_11
    | spl0_22
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f377,f415,f408,f473,f435]) ).

fof(f477,definition,
    ( spl0_23
  <=> ! [X70] :
        ( ~ c3_1(X70)
        | ~ c0_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f478,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | ~ c0_1(X70)
        | ~ c3_1(X70) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f487,definition,
    ( spl0_26
  <=> ! [X69] :
        ( ~ c3_1(X69)
        | c1_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | ~ c3_1(X69)
        | ~ c2_1(X69) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f490,definition,
    ( spl0_27
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | ~ c3_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | ~ c3_1(X68) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f493,definition,
    ( spl0_28
  <=> hskp73 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f495,plain,
    ( spl0_26
    | ~ spl0_3
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f378,f493,f490,f408,f487]) ).

fof(f497,definition,
    ( spl0_29
  <=> hskp72 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_30
  <=> ! [X67] :
        ( c3_1(X67)
        | c2_1(X67)
        | c0_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X67] :
        ( c2_1(X67)
        | c3_1(X67)
        | c0_1(X67) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,definition,
    ( spl0_31
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f505,plain,
    ( spl0_29
    | ~ spl0_3
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f17,f503,f500,f408,f497]) ).

fof(f507,definition,
    ( spl0_32
  <=> ! [X66] :
        ( c3_1(X66)
        | ~ c2_1(X66)
        | ~ c0_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X66] :
        ( ~ c2_1(X66)
        | c3_1(X66)
        | ~ c0_1(X66) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,definition,
    ( spl0_33
  <=> ! [X65] :
        ( c1_1(X65)
        | c0_1(X65)
        | c2_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X65] :
        ( c1_1(X65)
        | c0_1(X65)
        | c2_1(X65) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,definition,
    ( spl0_34
  <=> ! [X64] :
        ( c2_1(X64)
        | c3_1(X64)
        | c1_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f514,plain,
    ( ! [X64] :
        ( c1_1(X64)
        | c3_1(X64)
        | c2_1(X64) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f515,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f379,f513,f408,f510,f507]) ).

fof(f524,definition,
    ( spl0_37
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f527,definition,
    ( spl0_38
  <=> ! [X62] :
        ( c2_1(X62)
        | ~ c3_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f528,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62)
        | c2_1(X62) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f541,definition,
    ( spl0_42
  <=> ! [X57] :
        ( ~ c1_1(X57)
        | c3_1(X57)
        | c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f542,plain,
    ( ! [X57] :
        ( ~ c1_1(X57)
        | c3_1(X57)
        | c2_1(X57) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f544,definition,
    ( spl0_43
  <=> hskp69 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f546,plain,
    ( spl0_16
    | ~ spl0_3
    | spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f382,f544,f541,f408,f451]) ).

fof(f548,definition,
    ( spl0_44
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f550,plain,
    ( spl0_44
    | spl0_5
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f383,f527,f408,f415,f548]) ).

fof(f559,definition,
    ( spl0_47
  <=> ! [X53] :
        ( c1_1(X53)
        | ~ c2_1(X53)
        | ~ c0_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f560,plain,
    ( ! [X53] :
        ( c1_1(X53)
        | ~ c2_1(X53)
        | ~ c0_1(X53) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f562,definition,
    ( spl0_48
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f564,plain,
    ( spl0_47
    | ~ spl0_3
    | spl0_38
    | spl0_48 ),
    inference(avatar_split_clause,[],[f384,f562,f527,f408,f559]) ).

fof(f570,definition,
    ( spl0_50
  <=> hskp67 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f572,plain,
    ( spl0_50
    | spl0_14
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f385,f487,f408,f445,f570]) ).

fof(f583,plain,
    ( spl0_1
    | spl0_16
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f386,f438,f408,f451,f402]) ).

fof(f585,definition,
    ( spl0_54
  <=> hskp53 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f588,definition,
    ( spl0_55
  <=> hskp52 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f590,plain,
    ( spl0_54
    | spl0_55
    | spl0_15 ),
    inference(avatar_split_clause,[],[f30,f448,f588,f585]) ).

fof(f592,definition,
    ( spl0_56
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f595,definition,
    ( spl0_57
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f598,definition,
    ( spl0_58
  <=> hskp66 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f600,plain,
    ( spl0_56
    | spl0_57
    | spl0_58 ),
    inference(avatar_split_clause,[],[f31,f598,f595,f592]) ).

fof(f602,definition,
    ( spl0_59
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f604,plain,
    ( spl0_26
    | spl0_59
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f387,f477,f408,f602,f487]) ).

fof(f606,definition,
    ( spl0_60
  <=> ! [X43] :
        ( c1_1(X43)
        | c3_1(X43)
        | c0_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X43] :
        ( c1_1(X43)
        | c3_1(X43)
        | c0_1(X43) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,definition,
    ( spl0_61
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f611,plain,
    ( spl0_27
    | ~ spl0_3
    | spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f388,f609,f606,f408,f490]) ).

fof(f634,definition,
    ( spl0_68
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f636,plain,
    ( spl0_42
    | spl0_68
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f390,f411,f408,f634,f541]) ).

fof(f638,definition,
    ( spl0_69
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f641,definition,
    ( spl0_70
  <=> ! [X37] :
        ( ~ c0_1(X37)
        | c3_1(X37)
        | ~ c1_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f642,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c3_1(X37)
        | ~ c0_1(X37) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f644,definition,
    ( spl0_71
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f646,plain,
    ( spl0_69
    | ~ spl0_3
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f38,f644,f641,f408,f638]) ).

fof(f655,definition,
    ( spl0_74
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f658,definition,
    ( spl0_75
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f660,plain,
    ( spl0_74
    | spl0_75
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f40,f445,f408,f658,f655]) ).

fof(f665,plain,
    ( spl0_16
    | spl0_14
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f392,f431,f408,f445,f451]) ).

fof(f676,definition,
    ( spl0_79
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f679,definition,
    ( spl0_80
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f682,definition,
    ( spl0_81
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f684,plain,
    ( spl0_79
    | spl0_80
    | spl0_81 ),
    inference(avatar_split_clause,[],[f46,f682,f679,f676]) ).

fof(f697,definition,
    ( spl0_85
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f699,plain,
    ( spl0_20
    | spl0_85
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f49,f455,f408,f697,f465]) ).

fof(f709,definition,
    ( spl0_88
  <=> hskp55 ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f712,definition,
    ( spl0_89
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_88
    | spl0_89 ),
    inference(avatar_split_clause,[],[f52,f712,f709,f507,f408]) ).

fof(f716,definition,
    ( spl0_90
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f719,plain,
    ( spl0_23
    | spl0_47
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f397,f500,f408,f559,f477]) ).

fof(f728,definition,
    ( spl0_93
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_93
    | ~ spl0_3
    | spl0_32
    | spl0_55 ),
    inference(avatar_split_clause,[],[f56,f588,f507,f408,f728]) ).

fof(f743,definition,
    ( spl0_97
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f746,definition,
    ( spl0_98
  <=> hskp48 ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f748,plain,
    ( spl0_97
    | spl0_98
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f59,f455,f408,f746,f743]) ).

fof(f757,definition,
    ( spl0_101
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f759,plain,
    ( spl0_101
    | spl0_90
    | spl0_22 ),
    inference(avatar_split_clause,[],[f61,f473,f716,f757]) ).

fof(f761,definition,
    ( spl0_102
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f763,plain,
    ( spl0_21
    | spl0_102
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f399,f500,f408,f761,f469]) ).

fof(f779,definition,
    ( spl0_107
  <=> hskp42 ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f781,plain,
    ( spl0_107
    | ~ spl0_3
    | spl0_32
    | spl0_37 ),
    inference(avatar_split_clause,[],[f65,f524,f507,f408,f779]) ).

fof(f812,definition,
    ( spl0_114
  <=> c0_1(a1716) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_114
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f74,f493,f812]) ).

fof(f817,definition,
    ( spl0_115
  <=> c3_1(a1716) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ spl0_115
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f75,f493,f817]) ).

fof(f821,definition,
    ( spl0_116
  <=> c2_1(a1716) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f822,plain,
    ( c2_1(a1716)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f823,plain,
    ( spl0_116
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f76,f493,f821]) ).

fof(f826,definition,
    ( spl0_117
  <=> c3_1(a1715) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f829,plain,
    ( spl0_117
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f78,f497,f826]) ).

fof(f831,definition,
    ( spl0_118
  <=> c1_1(a1715) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f832,plain,
    ( c1_1(a1715)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f833,plain,
    ( spl0_118
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f79,f497,f831]) ).

fof(f835,definition,
    ( spl0_119
  <=> c2_1(a1715) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ spl0_119
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f80,f497,f835]) ).

fof(f868,definition,
    ( spl0_126
  <=> c3_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f871,plain,
    ( spl0_126
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f90,f544,f868]) ).

fof(f873,definition,
    ( spl0_127
  <=> c0_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f875,plain,
    ( spl0_127
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f91,f544,f873]) ).

fof(f877,definition,
    ( spl0_128
  <=> c1_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f878,plain,
    ( ~ c1_1(a1709)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f879,plain,
    ( ~ spl0_128
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f92,f544,f877]) ).

fof(f896,definition,
    ( spl0_132
  <=> c3_1(a1702) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f899,plain,
    ( spl0_132
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f98,f570,f896]) ).

fof(f901,definition,
    ( spl0_133
  <=> c2_1(a1702) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f902,plain,
    ( c2_1(a1702)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f903,plain,
    ( spl0_133
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f99,f570,f901]) ).

fof(f905,definition,
    ( spl0_134
  <=> c1_1(a1702) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f906,plain,
    ( c1_1(a1702)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f907,plain,
    ( spl0_134
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f100,f570,f905]) ).

fof(f910,definition,
    ( spl0_135
  <=> c0_1(a1692) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f913,plain,
    ( spl0_135
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f102,f598,f910]) ).

fof(f915,definition,
    ( spl0_136
  <=> c2_1(a1692) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c2_1(a1692)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f917,plain,
    ( ~ spl0_136
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f103,f598,f915]) ).

fof(f919,definition,
    ( spl0_137
  <=> c1_1(a1692) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ c1_1(a1692)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f921,plain,
    ( ~ spl0_137
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f104,f598,f919]) ).

fof(f980,definition,
    ( spl0_150
  <=> c3_1(a1674) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f983,plain,
    ( spl0_150
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f122,f441,f980]) ).

fof(f985,definition,
    ( spl0_151
  <=> c2_1(a1674) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ spl0_151
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f123,f441,f985]) ).

fof(f989,definition,
    ( spl0_152
  <=> c1_1(a1674) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f990,plain,
    ( ~ c1_1(a1674)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f991,plain,
    ( ~ spl0_152
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f124,f441,f989]) ).

fof(f1036,definition,
    ( spl0_162
  <=> c3_1(a1665) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_162
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f138,f465,f1036]) ).

fof(f1041,definition,
    ( spl0_163
  <=> c1_1(a1665) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1042,plain,
    ( ~ c1_1(a1665)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1043,plain,
    ( ~ spl0_163
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f139,f465,f1041]) ).

fof(f1045,definition,
    ( spl0_164
  <=> c0_1(a1665) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1047,plain,
    ( spl0_164
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f140,f465,f1045]) ).

fof(f1064,definition,
    ( spl0_168
  <=> c1_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1065,plain,
    ( c1_1(a1661)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1067,plain,
    ( spl0_168
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f146,f709,f1064]) ).

fof(f1069,definition,
    ( spl0_169
  <=> c3_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1071,plain,
    ( ~ spl0_169
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f147,f709,f1069]) ).

fof(f1073,definition,
    ( spl0_170
  <=> c2_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1074,plain,
    ( ~ c2_1(a1661)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1075,plain,
    ( ~ spl0_170
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f148,f709,f1073]) ).

fof(f1092,definition,
    ( spl0_174
  <=> c0_1(a1656) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1095,plain,
    ( spl0_174
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f154,f585,f1092]) ).

fof(f1097,definition,
    ( spl0_175
  <=> c2_1(a1656) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1098,plain,
    ( c2_1(a1656)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f1099,plain,
    ( spl0_175
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f155,f585,f1097]) ).

fof(f1101,definition,
    ( spl0_176
  <=> c3_1(a1656) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ spl0_176
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f156,f585,f1101]) ).

fof(f1106,definition,
    ( spl0_177
  <=> c3_1(a1654) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1109,plain,
    ( spl0_177
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f158,f588,f1106]) ).

fof(f1111,definition,
    ( spl0_178
  <=> c2_1(a1654) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1112,plain,
    ( c2_1(a1654)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1113,plain,
    ( spl0_178
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f159,f588,f1111]) ).

fof(f1115,definition,
    ( spl0_179
  <=> c0_1(a1654) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1117,plain,
    ( spl0_179
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f160,f588,f1115]) ).

fof(f1162,definition,
    ( spl0_189
  <=> c0_1(a1649) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1165,plain,
    ( spl0_189
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f174,f746,f1162]) ).

fof(f1167,definition,
    ( spl0_190
  <=> c2_1(a1649) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1168,plain,
    ( ~ c2_1(a1649)
    | spl0_190 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1169,plain,
    ( ~ spl0_190
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f175,f746,f1167]) ).

fof(f1171,definition,
    ( spl0_191
  <=> c3_1(a1649) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

fof(f1173,plain,
    ( ~ spl0_191
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f176,f746,f1171]) ).

fof(f1176,definition,
    ( spl0_192
  <=> c3_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

fof(f1179,plain,
    ( spl0_192
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f178,f473,f1176]) ).

fof(f1181,definition,
    ( spl0_193
  <=> c0_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

fof(f1183,plain,
    ( ~ spl0_193
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f179,f473,f1181]) ).

fof(f1185,definition,
    ( spl0_194
  <=> c1_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1186,plain,
    ( ~ c1_1(a1644)
    | spl0_194 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1187,plain,
    ( ~ spl0_194
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f180,f473,f1185]) ).

fof(f1188,plain,
    ( spl0_3
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f181,f473,f408]) ).

fof(f1246,definition,
    ( spl0_207
  <=> c0_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1249,plain,
    ( spl0_207
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f198,f779,f1246]) ).

fof(f1251,definition,
    ( spl0_208
  <=> c3_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1253,plain,
    ( ~ spl0_208
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f199,f779,f1251]) ).

fof(f1255,definition,
    ( spl0_209
  <=> c1_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1256,plain,
    ( c1_1(a1638)
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f1257,plain,
    ( spl0_209
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f200,f779,f1255]) ).

fof(f1274,definition,
    ( spl0_213
  <=> c2_1(a1725) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1275,plain,
    ( ~ c2_1(a1725)
    | spl0_213 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f1277,plain,
    ( ~ spl0_213
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f206,f418,f1274]) ).

fof(f1279,definition,
    ( spl0_214
  <=> c3_1(a1725) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1281,plain,
    ( spl0_214
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f207,f418,f1279]) ).

fof(f1283,definition,
    ( spl0_215
  <=> c1_1(a1725) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f1284,plain,
    ( c1_1(a1725)
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f1283]) ).

fof(f1285,plain,
    ( spl0_215
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f208,f418,f1283]) ).

fof(f1288,definition,
    ( spl0_216
  <=> c0_1(a1721) ),
    introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).

fof(f1291,plain,
    ( ~ spl0_216
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f210,f461,f1288]) ).

fof(f1293,definition,
    ( spl0_217
  <=> c3_1(a1721) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1295,plain,
    ( spl0_217
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f211,f461,f1293]) ).

fof(f1297,definition,
    ( spl0_218
  <=> c1_1(a1721) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1298,plain,
    ( ~ c1_1(a1721)
    | spl0_218 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f1299,plain,
    ( ~ spl0_218
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f212,f461,f1297]) ).

fof(f1316,definition,
    ( spl0_222
  <=> c1_1(a1714) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1317,plain,
    ( ~ c1_1(a1714)
    | spl0_222 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f1319,plain,
    ( ~ spl0_222
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f218,f503,f1316]) ).

fof(f1321,definition,
    ( spl0_223
  <=> c0_1(a1714) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1323,plain,
    ( spl0_223
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f219,f503,f1321]) ).

fof(f1325,definition,
    ( spl0_224
  <=> c2_1(a1714) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1326,plain,
    ( c2_1(a1714)
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f1327,plain,
    ( spl0_224
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f220,f503,f1325]) ).

fof(f1358,definition,
    ( spl0_231
  <=> c1_1(a1705) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

fof(f1359,plain,
    ( ~ c1_1(a1705)
    | spl0_231 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f1361,plain,
    ( ~ spl0_231
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f230,f562,f1358]) ).

fof(f1363,definition,
    ( spl0_232
  <=> c3_1(a1705) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

fof(f1365,plain,
    ( ~ spl0_232
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f231,f562,f1363]) ).

fof(f1367,definition,
    ( spl0_233
  <=> c2_1(a1705) ),
    introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).

fof(f1369,plain,
    ( spl0_233
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f232,f562,f1367]) ).

fof(f1414,definition,
    ( spl0_243
  <=> c0_1(a1698) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1417,plain,
    ( ~ spl0_243
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f246,f402,f1414]) ).

fof(f1419,definition,
    ( spl0_244
  <=> c3_1(a1698) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1421,plain,
    ( spl0_244
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f247,f402,f1419]) ).

fof(f1423,definition,
    ( spl0_245
  <=> c1_1(a1698) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1424,plain,
    ( c1_1(a1698)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1423]) ).

fof(f1425,plain,
    ( spl0_245
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f248,f402,f1423]) ).

fof(f1428,definition,
    ( spl0_246
  <=> c3_1(a1695) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

fof(f1431,plain,
    ( ~ spl0_246
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f250,f448,f1428]) ).

fof(f1433,definition,
    ( spl0_247
  <=> c0_1(a1695) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

fof(f1435,plain,
    ( spl0_247
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f251,f448,f1433]) ).

fof(f1437,definition,
    ( spl0_248
  <=> c2_1(a1695) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

fof(f1438,plain,
    ( c2_1(a1695)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f1439,plain,
    ( spl0_248
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f252,f448,f1437]) ).

fof(f1442,definition,
    ( spl0_249
  <=> c3_1(a1694) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

fof(f1445,plain,
    ( ~ spl0_249
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f254,f592,f1442]) ).

fof(f1447,definition,
    ( spl0_250
  <=> c2_1(a1694) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

fof(f1449,plain,
    ( spl0_250
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f255,f592,f1447]) ).

fof(f1451,definition,
    ( spl0_251
  <=> c1_1(a1694) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

fof(f1452,plain,
    ( ~ c1_1(a1694)
    | spl0_251 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f1453,plain,
    ( ~ spl0_251
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f256,f592,f1451]) ).

fof(f1456,definition,
    ( spl0_252
  <=> c2_1(a1693) ),
    introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).

fof(f1457,plain,
    ( ~ c2_1(a1693)
    | spl0_252 ),
    inference(avatar_component_clause,[],[f1456]) ).

fof(f1459,plain,
    ( ~ spl0_252
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f258,f595,f1456]) ).

fof(f1461,definition,
    ( spl0_253
  <=> c3_1(a1693) ),
    introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).

fof(f1463,plain,
    ( ~ spl0_253
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f259,f595,f1461]) ).

fof(f1465,definition,
    ( spl0_254
  <=> c0_1(a1693) ),
    introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).

fof(f1467,plain,
    ( ~ spl0_254
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f260,f595,f1465]) ).

fof(f1470,definition,
    ( spl0_255
  <=> c2_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1471,plain,
    ( ~ c2_1(a1691)
    | spl0_255 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f1473,plain,
    ( ~ spl0_255
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f262,f602,f1470]) ).

fof(f1475,definition,
    ( spl0_256
  <=> c1_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1476,plain,
    ( ~ c1_1(a1691)
    | spl0_256 ),
    inference(avatar_component_clause,[],[f1475]) ).

fof(f1477,plain,
    ( ~ spl0_256
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f263,f602,f1475]) ).

fof(f1479,definition,
    ( spl0_257
  <=> c3_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

fof(f1481,plain,
    ( ~ spl0_257
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f264,f602,f1479]) ).

fof(f1484,definition,
    ( spl0_258
  <=> c1_1(a1690) ),
    introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).

fof(f1485,plain,
    ( ~ c1_1(a1690)
    | spl0_258 ),
    inference(avatar_component_clause,[],[f1484]) ).

fof(f1487,plain,
    ( ~ spl0_258
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f266,f609,f1484]) ).

fof(f1489,definition,
    ( spl0_259
  <=> c0_1(a1690) ),
    introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).

fof(f1491,plain,
    ( ~ spl0_259
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f267,f609,f1489]) ).

fof(f1493,definition,
    ( spl0_260
  <=> c2_1(a1690) ),
    introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).

fof(f1495,plain,
    ( spl0_260
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f268,f609,f1493]) ).

fof(f1540,definition,
    ( spl0_270
  <=> c1_1(a1683) ),
    introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).

fof(f1541,plain,
    ( ~ c1_1(a1683)
    | spl0_270 ),
    inference(avatar_component_clause,[],[f1540]) ).

fof(f1543,plain,
    ( ~ spl0_270
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f282,f634,f1540]) ).

fof(f1549,definition,
    ( spl0_272
  <=> c3_1(a1683) ),
    introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).

fof(f1551,plain,
    ( spl0_272
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f284,f634,f1549]) ).

fof(f1554,definition,
    ( spl0_273
  <=> c3_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).

fof(f1557,plain,
    ( ~ spl0_273
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f286,f638,f1554]) ).

fof(f1559,definition,
    ( spl0_274
  <=> c1_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).

fof(f1560,plain,
    ( ~ c1_1(a1682)
    | spl0_274 ),
    inference(avatar_component_clause,[],[f1559]) ).

fof(f1561,plain,
    ( ~ spl0_274
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f287,f638,f1559]) ).

fof(f1563,definition,
    ( spl0_275
  <=> c2_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

fof(f1565,plain,
    ( ~ spl0_275
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f288,f638,f1563]) ).

fof(f1568,definition,
    ( spl0_276
  <=> c2_1(a1681) ),
    introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).

fof(f1571,plain,
    ( ~ spl0_276
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f290,f644,f1568]) ).

fof(f1573,definition,
    ( spl0_277
  <=> c3_1(a1681) ),
    introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).

fof(f1575,plain,
    ( ~ spl0_277
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f291,f644,f1573]) ).

fof(f1577,definition,
    ( spl0_278
  <=> c1_1(a1681) ),
    introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).

fof(f1578,plain,
    ( ~ c1_1(a1681)
    | spl0_278 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1579,plain,
    ( ~ spl0_278
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f292,f644,f1577]) ).

fof(f1596,definition,
    ( spl0_282
  <=> c2_1(a1678) ),
    introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).

fof(f1597,plain,
    ( ~ c2_1(a1678)
    | spl0_282 ),
    inference(avatar_component_clause,[],[f1596]) ).

fof(f1599,plain,
    ( ~ spl0_282
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f298,f655,f1596]) ).

fof(f1601,definition,
    ( spl0_283
  <=> c1_1(a1678) ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

fof(f1602,plain,
    ( ~ c1_1(a1678)
    | spl0_283 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f1603,plain,
    ( ~ spl0_283
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f299,f655,f1601]) ).

fof(f1605,definition,
    ( spl0_284
  <=> c0_1(a1678) ),
    introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).

fof(f1607,plain,
    ( ~ spl0_284
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f300,f655,f1605]) ).

fof(f1610,definition,
    ( spl0_285
  <=> c1_1(a1677) ),
    introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).

fof(f1611,plain,
    ( ~ c1_1(a1677)
    | spl0_285 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f1613,plain,
    ( ~ spl0_285
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f302,f658,f1610]) ).

fof(f1615,definition,
    ( spl0_286
  <=> c2_1(a1677) ),
    introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).

fof(f1616,plain,
    ( ~ c2_1(a1677)
    | spl0_286 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f1617,plain,
    ( ~ spl0_286
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f303,f658,f1615]) ).

fof(f1619,definition,
    ( spl0_287
  <=> c0_1(a1677) ),
    introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).

fof(f1621,plain,
    ( ~ spl0_287
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f304,f658,f1619]) ).

fof(f1624,definition,
    ( spl0_288
  <=> c0_1(a1672) ),
    introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).

fof(f1627,plain,
    ( ~ spl0_288
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f306,f676,f1624]) ).

fof(f1629,definition,
    ( spl0_289
  <=> c1_1(a1672) ),
    introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).

fof(f1630,plain,
    ( c1_1(a1672)
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1631,plain,
    ( spl0_289
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f307,f676,f1629]) ).

fof(f1633,definition,
    ( spl0_290
  <=> c3_1(a1672) ),
    introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).

fof(f1635,plain,
    ( spl0_290
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f308,f676,f1633]) ).

fof(f1638,definition,
    ( spl0_291
  <=> c3_1(a1671) ),
    introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).

fof(f1641,plain,
    ( ~ spl0_291
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f310,f679,f1638]) ).

fof(f1643,definition,
    ( spl0_292
  <=> c1_1(a1671) ),
    introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).

fof(f1644,plain,
    ( ~ c1_1(a1671)
    | spl0_292 ),
    inference(avatar_component_clause,[],[f1643]) ).

fof(f1645,plain,
    ( ~ spl0_292
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f311,f679,f1643]) ).

fof(f1647,definition,
    ( spl0_293
  <=> c2_1(a1671) ),
    introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).

fof(f1649,plain,
    ( spl0_293
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f312,f679,f1647]) ).

fof(f1652,definition,
    ( spl0_294
  <=> c1_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).

fof(f1653,plain,
    ( ~ c1_1(a1667)
    | spl0_294 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f1655,plain,
    ( ~ spl0_294
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f314,f548,f1652]) ).

fof(f1657,definition,
    ( spl0_295
  <=> c3_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).

fof(f1659,plain,
    ( spl0_295
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f315,f548,f1657]) ).

fof(f1661,definition,
    ( spl0_296
  <=> c0_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).

fof(f1663,plain,
    ( spl0_296
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f316,f548,f1661]) ).

fof(f1680,definition,
    ( spl0_300
  <=> c1_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).

fof(f1681,plain,
    ( ~ c1_1(a1664)
    | spl0_300 ),
    inference(avatar_component_clause,[],[f1680]) ).

fof(f1683,plain,
    ( ~ spl0_300
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f322,f697,f1680]) ).

fof(f1685,definition,
    ( spl0_301
  <=> c2_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

fof(f1686,plain,
    ( ~ c2_1(a1664)
    | spl0_301 ),
    inference(avatar_component_clause,[],[f1685]) ).

fof(f1687,plain,
    ( ~ spl0_301
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f323,f697,f1685]) ).

fof(f1689,definition,
    ( spl0_302
  <=> c3_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).

fof(f1691,plain,
    ( ~ spl0_302
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f324,f697,f1689]) ).

fof(f1694,definition,
    ( spl0_303
  <=> c0_1(a1663) ),
    introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).

fof(f1697,plain,
    ( ~ spl0_303
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f326,f682,f1694]) ).

fof(f1699,definition,
    ( spl0_304
  <=> c3_1(a1663) ),
    introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).

fof(f1701,plain,
    ( ~ spl0_304
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f327,f682,f1699]) ).

fof(f1703,definition,
    ( spl0_305
  <=> c2_1(a1663) ),
    introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).

fof(f1704,plain,
    ( ~ c2_1(a1663)
    | spl0_305 ),
    inference(avatar_component_clause,[],[f1703]) ).

fof(f1705,plain,
    ( ~ spl0_305
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f328,f682,f1703]) ).

fof(f1708,definition,
    ( spl0_306
  <=> c1_1(a1660) ),
    introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).

fof(f1709,plain,
    ( ~ c1_1(a1660)
    | spl0_306 ),
    inference(avatar_component_clause,[],[f1708]) ).

fof(f1711,plain,
    ( ~ spl0_306
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f330,f712,f1708]) ).

fof(f1713,definition,
    ( spl0_307
  <=> c0_1(a1660) ),
    introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).

fof(f1715,plain,
    ( ~ spl0_307
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f331,f712,f1713]) ).

fof(f1717,definition,
    ( spl0_308
  <=> c3_1(a1660) ),
    introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).

fof(f1719,plain,
    ( ~ spl0_308
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f332,f712,f1717]) ).

fof(f1736,definition,
    ( spl0_312
  <=> c2_1(a1655) ),
    introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).

fof(f1737,plain,
    ( ~ c2_1(a1655)
    | spl0_312 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f1739,plain,
    ( ~ spl0_312
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f338,f728,f1736]) ).

fof(f1741,definition,
    ( spl0_313
  <=> c0_1(a1655) ),
    introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).

fof(f1743,plain,
    ( spl0_313
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f339,f728,f1741]) ).

fof(f1745,definition,
    ( spl0_314
  <=> c3_1(a1655) ),
    introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).

fof(f1747,plain,
    ( spl0_314
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f340,f728,f1745]) ).

fof(f1750,definition,
    ( spl0_315
  <=> c3_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).

fof(f1753,plain,
    ( ~ spl0_315
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f342,f743,f1750]) ).

fof(f1755,definition,
    ( spl0_316
  <=> c2_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).

fof(f1757,plain,
    ( ~ spl0_316
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f343,f743,f1755]) ).

fof(f1759,definition,
    ( spl0_317
  <=> c1_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).

fof(f1760,plain,
    ( ~ c1_1(a1650)
    | spl0_317 ),
    inference(avatar_component_clause,[],[f1759]) ).

fof(f1761,plain,
    ( ~ spl0_317
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f344,f743,f1759]) ).

fof(f1804,plain,
    ( spl0_3
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f357,f757,f408]) ).

fof(f1818,plain,
    ( spl0_3
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f361,f716,f408]) ).

fof(f1820,definition,
    ( spl0_330
  <=> c2_1(a1643) ),
    introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).

fof(f1823,plain,
    ( ~ spl0_330
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f362,f761,f1820]) ).

fof(f1825,definition,
    ( spl0_331
  <=> c3_1(a1643) ),
    introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).

fof(f1827,plain,
    ( spl0_331
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f363,f761,f1825]) ).

fof(f1829,definition,
    ( spl0_332
  <=> c1_1(a1643) ),
    introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).

fof(f1830,plain,
    ( ~ c1_1(a1643)
    | spl0_332 ),
    inference(avatar_component_clause,[],[f1829]) ).

fof(f1831,plain,
    ( ~ spl0_332
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f364,f761,f1829]) ).

fof(f1834,definition,
    ( spl0_333
  <=> c2_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).

fof(f1835,plain,
    ( ~ c2_1(a1637)
    | spl0_333 ),
    inference(avatar_component_clause,[],[f1834]) ).

fof(f1837,plain,
    ( ~ spl0_333
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f366,f524,f1834]) ).

fof(f1839,definition,
    ( spl0_334
  <=> c0_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).

fof(f1841,plain,
    ( spl0_334
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f367,f524,f1839]) ).

fof(f1843,definition,
    ( spl0_335
  <=> c1_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).

fof(f1844,plain,
    ( c1_1(a1637)
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f1843]) ).

fof(f1845,plain,
    ( spl0_335
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f368,f524,f1843]) ).

fof(f1909,definition,
    ( spl0_340
  <=> c3_1(a1678) ),
    introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).

fof(f1912,plain,
    ( ~ c3_1(a1678)
    | c0_1(a1678)
    | ~ spl0_16
    | spl0_283 ),
    inference(resolution,[],[f1602,f452]) ).

fof(f1963,definition,
    ( spl0_341
  <=> c0_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).

fof(f1987,definition,
    ( spl0_342
  <=> c0_1(a1702) ),
    introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).

fof(f1994,plain,
    ( c3_1(a1678)
    | c0_1(a1678)
    | ~ spl0_30
    | spl0_282 ),
    inference(resolution,[],[f501,f1597]) ).

fof(f1996,plain,
    ( c3_1(a1691)
    | c0_1(a1691)
    | ~ spl0_30
    | spl0_255 ),
    inference(resolution,[],[f501,f1471]) ).

fof(f2019,definition,
    ( spl0_343
  <=> c0_1(a1674) ),
    introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).

fof(f2067,definition,
    ( spl0_348
  <=> c3_1(a1692) ),
    introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).

fof(f2074,definition,
    ( spl0_349
  <=> c3_1(a1690) ),
    introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).

fof(f2165,definition,
    ( spl0_354
  <=> c2_1(a1660) ),
    introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).

fof(f2187,definition,
    ( spl0_356
  <=> c3_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).

fof(f2200,plain,
    ( c0_1(a1660)
    | c2_1(a1660)
    | ~ spl0_33
    | spl0_306 ),
    inference(resolution,[],[f511,f1709]) ).

fof(f2201,plain,
    ( c0_1(a1678)
    | c2_1(a1678)
    | ~ spl0_33
    | spl0_283 ),
    inference(resolution,[],[f511,f1602]) ).

fof(f2204,plain,
    ( c0_1(a1691)
    | c2_1(a1691)
    | ~ spl0_33
    | spl0_256 ),
    inference(resolution,[],[f511,f1476]) ).

fof(f2225,definition,
    ( spl0_358
  <=> c2_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).

fof(f2239,plain,
    ( spl0_255
    | spl0_341
    | ~ spl0_33
    | spl0_256 ),
    inference(avatar_split_clause,[],[f2204,f1475,f510,f1963,f1470]) ).

fof(f2242,plain,
    ( spl0_282
    | spl0_284
    | ~ spl0_33
    | spl0_283 ),
    inference(avatar_split_clause,[],[f2201,f1601,f510,f1605,f1596]) ).

fof(f2256,plain,
    ( c3_1(a1650)
    | c2_1(a1650)
    | ~ spl0_34
    | spl0_317 ),
    inference(resolution,[],[f514,f1760]) ).

fof(f2258,plain,
    ( c3_1(a1678)
    | c2_1(a1678)
    | ~ spl0_34
    | spl0_283 ),
    inference(resolution,[],[f514,f1602]) ).

fof(f2259,plain,
    ( c3_1(a1682)
    | c2_1(a1682)
    | ~ spl0_34
    | spl0_274 ),
    inference(resolution,[],[f514,f1560]) ).

fof(f2261,plain,
    ( c3_1(a1691)
    | c2_1(a1691)
    | ~ spl0_34
    | spl0_256 ),
    inference(resolution,[],[f514,f1476]) ).

fof(f2281,plain,
    ( spl0_255
    | spl0_257
    | ~ spl0_34
    | spl0_256 ),
    inference(avatar_split_clause,[],[f2261,f1475,f513,f1479,f1470]) ).

fof(f2282,plain,
    ( spl0_275
    | spl0_273
    | ~ spl0_34
    | spl0_274 ),
    inference(avatar_split_clause,[],[f2259,f1559,f513,f1554,f1563]) ).

fof(f2284,plain,
    ( spl0_316
    | spl0_315
    | ~ spl0_34
    | spl0_317 ),
    inference(avatar_split_clause,[],[f2256,f1759,f513,f1750,f1755]) ).

fof(f2292,definition,
    ( spl0_360
  <=> c0_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).

fof(f2347,plain,
    ( ~ c3_1(a1702)
    | c2_1(a1702)
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(resolution,[],[f528,f906]) ).

fof(f2365,plain,
    ( c3_1(a1705)
    | ~ c2_1(a1705)
    | ~ spl0_7
    | spl0_231 ),
    inference(resolution,[],[f1359,f422]) ).

fof(f2368,plain,
    ( ~ spl0_233
    | spl0_232
    | ~ spl0_7
    | spl0_231 ),
    inference(avatar_split_clause,[],[f2365,f1358,f421,f1363,f1367]) ).

fof(f2412,plain,
    ( c3_1(a1661)
    | c2_1(a1661)
    | ~ spl0_42
    | ~ spl0_168 ),
    inference(resolution,[],[f542,f1065]) ).

fof(f2424,definition,
    ( spl0_364
  <=> c3_1(a1677) ),
    introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).

fof(f2441,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_34 ),
    inference(resolution,[],[f412,f514]) ).

fof(f2451,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f2441]) ).

fof(f2469,plain,
    ( ~ c3_1(a1721)
    | c0_1(a1721)
    | ~ spl0_16
    | spl0_218 ),
    inference(resolution,[],[f452,f1298]) ).

fof(f2487,plain,
    ( spl0_216
    | ~ spl0_217
    | ~ spl0_16
    | spl0_218 ),
    inference(avatar_split_clause,[],[f2469,f1297,f451,f1293,f1288]) ).

fof(f2554,plain,
    ( c3_1(a1661)
    | ~ c0_1(a1661)
    | ~ spl0_11
    | spl0_170 ),
    inference(resolution,[],[f436,f1074]) ).

fof(f2560,plain,
    ( ~ spl0_360
    | spl0_169
    | ~ spl0_11
    | spl0_170 ),
    inference(avatar_split_clause,[],[f2554,f1073,f435,f1069,f2292]) ).

fof(f2589,plain,
    ( ~ c3_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_5
    | ~ spl0_335 ),
    inference(resolution,[],[f416,f1844]) ).

fof(f2600,plain,
    ( ~ spl0_334
    | ~ spl0_356
    | ~ spl0_5
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f2589,f1843,f415,f2187,f1839]) ).

fof(f2604,plain,
    ( c2_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_12
    | ~ spl0_335 ),
    inference(resolution,[],[f439,f1844]) ).

fof(f2610,plain,
    ( c2_1(a1661)
    | ~ c0_1(a1661)
    | ~ spl0_12
    | ~ spl0_168 ),
    inference(resolution,[],[f439,f1065]) ).

fof(f2619,plain,
    ( ~ spl0_360
    | spl0_170
    | ~ spl0_12
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2610,f1064,f438,f1073,f2292]) ).

fof(f2625,plain,
    ( ~ spl0_334
    | spl0_333
    | ~ spl0_12
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f2604,f1843,f438,f1834,f1839]) ).

fof(f2654,plain,
    ( spl0_284
    | ~ spl0_340
    | ~ spl0_16
    | spl0_283 ),
    inference(avatar_split_clause,[],[f1912,f1601,f451,f1909,f1605]) ).

fof(f2655,plain,
    ( spl0_282
    | spl0_340
    | ~ spl0_34
    | spl0_283 ),
    inference(avatar_split_clause,[],[f2258,f1601,f513,f1909,f1596]) ).

fof(f2656,plain,
    ( spl0_30
    | ~ spl0_4
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2451,f513,f411,f500]) ).

fof(f2690,definition,
    ( spl0_369
  <=> c2_1(a1665) ),
    introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).

fof(f2704,definition,
    ( spl0_371
  <=> c3_1(a1714) ),
    introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).

fof(f2716,definition,
    ( spl0_372
  <=> c0_1(a1683) ),
    introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).

fof(f2721,plain,
    ( c3_1(a1660)
    | c2_1(a1660)
    | ~ spl0_34
    | spl0_306 ),
    inference(resolution,[],[f1709,f514]) ).

fof(f2722,plain,
    ( spl0_354
    | spl0_308
    | ~ spl0_34
    | spl0_306 ),
    inference(avatar_split_clause,[],[f2721,f1708,f513,f1717,f2165]) ).

fof(f2759,plain,
    ( ~ c3_1(a1683)
    | ~ c0_1(a1683)
    | ~ spl0_14
    | spl0_270 ),
    inference(resolution,[],[f446,f1541]) ).

fof(f2764,plain,
    ( ~ c3_1(a1665)
    | ~ c0_1(a1665)
    | ~ spl0_14
    | spl0_163 ),
    inference(resolution,[],[f446,f1042]) ).

fof(f2767,plain,
    ( ~ c3_1(a1674)
    | ~ c0_1(a1674)
    | ~ spl0_14
    | spl0_152 ),
    inference(resolution,[],[f446,f990]) ).

fof(f2779,plain,
    ( spl0_170
    | spl0_169
    | ~ spl0_42
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2412,f1064,f541,f1069,f1073]) ).

fof(f2790,plain,
    ( ~ c3_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_17
    | spl0_333 ),
    inference(resolution,[],[f456,f1835]) ).

fof(f2792,plain,
    ( ~ c3_1(a1655)
    | ~ c0_1(a1655)
    | ~ spl0_17
    | spl0_312 ),
    inference(resolution,[],[f456,f1737]) ).

fof(f2800,plain,
    ( ~ c3_1(a1725)
    | ~ c0_1(a1725)
    | ~ spl0_17
    | spl0_213 ),
    inference(resolution,[],[f456,f1275]) ).

fof(f2824,definition,
    ( spl0_375
  <=> c0_1(a1725) ),
    introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).

fof(f2827,plain,
    ( ~ spl0_375
    | ~ spl0_214
    | ~ spl0_17
    | spl0_213 ),
    inference(avatar_split_clause,[],[f2800,f1274,f455,f1279,f2824]) ).

fof(f2828,plain,
    ( ~ spl0_313
    | ~ spl0_314
    | ~ spl0_17
    | spl0_312 ),
    inference(avatar_split_clause,[],[f2792,f1736,f455,f1745,f1741]) ).

fof(f2830,plain,
    ( ~ spl0_334
    | ~ spl0_356
    | ~ spl0_17
    | spl0_333 ),
    inference(avatar_split_clause,[],[f2790,f1834,f455,f2187,f1839]) ).

fof(f2837,plain,
    ( spl0_284
    | spl0_340
    | ~ spl0_30
    | spl0_282 ),
    inference(avatar_split_clause,[],[f1994,f1596,f500,f1909,f1605]) ).

fof(f2931,plain,
    ( ~ c0_1(a1665)
    | c2_1(a1665)
    | ~ spl0_21
    | spl0_163 ),
    inference(resolution,[],[f470,f1042]) ).

fof(f2938,plain,
    ( spl0_369
    | ~ spl0_164
    | ~ spl0_21
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2931,f1041,f469,f1045,f2690]) ).

fof(f2940,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(resolution,[],[f488,f416]) ).

fof(f2954,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f2940]) ).

fof(f2964,plain,
    ( spl0_23
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2954,f487,f415,f477]) ).

fof(f3085,plain,
    ( ~ c3_1(a1715)
    | ~ c0_1(a1715)
    | ~ spl0_5
    | ~ spl0_118 ),
    inference(resolution,[],[f832,f416]) ).

fof(f3089,definition,
    ( spl0_378
  <=> c0_1(a1715) ),
    introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).

fof(f3094,plain,
    ( ~ spl0_378
    | ~ spl0_117
    | ~ spl0_5
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3085,f831,f415,f826,f3089]) ).

fof(f3194,definition,
    ( spl0_379
  <=> c2_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).

fof(f3264,plain,
    ( ~ spl0_164
    | ~ spl0_162
    | ~ spl0_14
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2764,f1041,f445,f1036,f1045]) ).

fof(f3276,plain,
    ( spl0_341
    | spl0_257
    | ~ spl0_30
    | spl0_255 ),
    inference(avatar_split_clause,[],[f1996,f1470,f500,f1479,f1963]) ).

fof(f3334,plain,
    ( c0_1(a1725)
    | c2_1(a1725)
    | ~ spl0_4
    | ~ spl0_215 ),
    inference(resolution,[],[f412,f1284]) ).

fof(f3345,plain,
    ( spl0_213
    | spl0_375
    | ~ spl0_4
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f3334,f1283,f411,f2824,f1274]) ).

fof(f3359,plain,
    ( c3_1(a1660)
    | ~ c2_1(a1660)
    | ~ spl0_7
    | spl0_306 ),
    inference(resolution,[],[f422,f1709]) ).

fof(f3361,plain,
    ( c3_1(a1671)
    | ~ c2_1(a1671)
    | ~ spl0_7
    | spl0_292 ),
    inference(resolution,[],[f422,f1644]) ).

fof(f3365,plain,
    ( c3_1(a1694)
    | ~ c2_1(a1694)
    | ~ spl0_7
    | spl0_251 ),
    inference(resolution,[],[f422,f1452]) ).

fof(f3379,plain,
    ( ~ spl0_250
    | spl0_249
    | ~ spl0_7
    | spl0_251 ),
    inference(avatar_split_clause,[],[f3365,f1451,f421,f1442,f1447]) ).

fof(f3383,plain,
    ( ~ spl0_293
    | spl0_291
    | ~ spl0_7
    | spl0_292 ),
    inference(avatar_split_clause,[],[f3361,f1643,f421,f1638,f1647]) ).

fof(f3385,plain,
    ( ~ spl0_354
    | spl0_308
    | ~ spl0_7
    | spl0_306 ),
    inference(avatar_split_clause,[],[f3359,f1708,f421,f1717,f2165]) ).

fof(f3429,plain,
    ( c2_1(a1725)
    | ~ c0_1(a1725)
    | ~ spl0_12
    | ~ spl0_215 ),
    inference(resolution,[],[f439,f1284]) ).

fof(f3430,plain,
    ( c2_1(a1638)
    | ~ c0_1(a1638)
    | ~ spl0_12
    | ~ spl0_209 ),
    inference(resolution,[],[f439,f1256]) ).

fof(f3437,plain,
    ( c2_1(a1715)
    | ~ c0_1(a1715)
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(resolution,[],[f439,f832]) ).

fof(f3439,plain,
    ( ~ spl0_378
    | spl0_119
    | ~ spl0_12
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3437,f831,f438,f835,f3089]) ).

fof(f3443,definition,
    ( spl0_384
  <=> c2_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).

fof(f3445,plain,
    ( ~ spl0_207
    | spl0_384
    | ~ spl0_12
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3430,f1255,f438,f3443,f1246]) ).

fof(f3446,plain,
    ( ~ spl0_375
    | spl0_213
    | ~ spl0_12
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f3429,f1283,f438,f1274,f2824]) ).

fof(f3450,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(resolution,[],[f446,f439]) ).

fof(f3454,plain,
    ( ~ c3_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_14
    | spl0_294 ),
    inference(resolution,[],[f446,f1653]) ).

fof(f3463,plain,
    ( ~ c3_1(a1692)
    | ~ c0_1(a1692)
    | ~ spl0_14
    | spl0_137 ),
    inference(resolution,[],[f446,f920]) ).

fof(f3464,plain,
    ( ~ c3_1(a1709)
    | ~ c0_1(a1709)
    | ~ spl0_14
    | spl0_128 ),
    inference(resolution,[],[f446,f878]) ).

fof(f3465,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f3450]) ).

fof(f3467,plain,
    ( ~ spl0_127
    | ~ spl0_126
    | ~ spl0_14
    | spl0_128 ),
    inference(avatar_split_clause,[],[f3464,f877,f445,f868,f873]) ).

fof(f3471,plain,
    ( ~ spl0_296
    | ~ spl0_295
    | ~ spl0_14
    | spl0_294 ),
    inference(avatar_split_clause,[],[f3454,f1652,f445,f1657,f1661]) ).

fof(f3497,plain,
    ( spl0_17
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f3465,f445,f438,f455]) ).

fof(f3528,plain,
    ( spl0_354
    | spl0_307
    | ~ spl0_33
    | spl0_306 ),
    inference(avatar_split_clause,[],[f2200,f1708,f510,f1713,f2165]) ).

fof(f3541,plain,
    ( c0_1(a1661)
    | c2_1(a1661)
    | ~ spl0_4
    | ~ spl0_168 ),
    inference(resolution,[],[f1065,f412]) ).

fof(f3542,plain,
    ( spl0_170
    | spl0_360
    | ~ spl0_4
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f3541,f1064,f411,f2292,f1073]) ).

fof(f3570,plain,
    ( ~ c2_1(a1638)
    | c3_1(a1638)
    | ~ spl0_10
    | ~ spl0_209 ),
    inference(resolution,[],[f432,f1256]) ).

fof(f3587,plain,
    ( spl0_208
    | ~ spl0_384
    | ~ spl0_10
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3570,f1255,f431,f3443,f1251]) ).

fof(f3603,plain,
    ( ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | ~ spl0_23
    | ~ spl0_178 ),
    inference(resolution,[],[f478,f1112]) ).

fof(f3610,plain,
    ( ~ spl0_177
    | ~ spl0_179
    | ~ spl0_23
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f3603,f1111,f477,f1115,f1106]) ).

fof(f3620,plain,
    ( ~ c3_1(a1667)
    | ~ c2_1(a1667)
    | ~ spl0_26
    | spl0_294 ),
    inference(resolution,[],[f488,f1653]) ).

fof(f3630,plain,
    ( ~ c3_1(a1644)
    | ~ c2_1(a1644)
    | ~ spl0_26
    | spl0_194 ),
    inference(resolution,[],[f488,f1186]) ).

fof(f3645,plain,
    ( ~ spl0_379
    | ~ spl0_295
    | ~ spl0_26
    | spl0_294 ),
    inference(avatar_split_clause,[],[f3620,f1652,f487,f1657,f3194]) ).

fof(f3661,plain,
    ( ~ c0_1(a1714)
    | ~ c3_1(a1714)
    | ~ spl0_23
    | ~ spl0_224 ),
    inference(resolution,[],[f1326,f478]) ).

fof(f3662,plain,
    ( ~ spl0_371
    | ~ spl0_223
    | ~ spl0_23
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f3661,f1325,f477,f1321,f2704]) ).

fof(f3669,plain,
    ( c3_1(a1663)
    | c0_1(a1663)
    | ~ spl0_30
    | spl0_305 ),
    inference(resolution,[],[f501,f1704]) ).

fof(f3670,plain,
    ( c3_1(a1664)
    | c0_1(a1664)
    | ~ spl0_30
    | spl0_301 ),
    inference(resolution,[],[f501,f1686]) ).

fof(f3671,plain,
    ( c3_1(a1677)
    | c0_1(a1677)
    | ~ spl0_30
    | spl0_286 ),
    inference(resolution,[],[f501,f1616]) ).

fof(f3673,plain,
    ( c3_1(a1693)
    | c0_1(a1693)
    | ~ spl0_30
    | spl0_252 ),
    inference(resolution,[],[f501,f1457]) ).

fof(f3680,plain,
    ( c3_1(a1661)
    | c0_1(a1661)
    | ~ spl0_30
    | spl0_170 ),
    inference(resolution,[],[f501,f1074]) ).

fof(f3688,plain,
    ( spl0_360
    | spl0_169
    | ~ spl0_30
    | spl0_170 ),
    inference(avatar_split_clause,[],[f3680,f1073,f500,f1069,f2292]) ).

fof(f3690,plain,
    ( spl0_254
    | spl0_253
    | ~ spl0_30
    | spl0_252 ),
    inference(avatar_split_clause,[],[f3673,f1456,f500,f1461,f1465]) ).

fof(f3691,plain,
    ( spl0_287
    | spl0_364
    | ~ spl0_30
    | spl0_286 ),
    inference(avatar_split_clause,[],[f3671,f1615,f500,f2424,f1619]) ).

fof(f3693,definition,
    ( spl0_385
  <=> c0_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).

fof(f3695,plain,
    ( spl0_385
    | spl0_302
    | ~ spl0_30
    | spl0_301 ),
    inference(avatar_split_clause,[],[f3670,f1685,f500,f1689,f3693]) ).

fof(f3696,plain,
    ( spl0_303
    | spl0_304
    | ~ spl0_30
    | spl0_305 ),
    inference(avatar_split_clause,[],[f3669,f1703,f500,f1699,f1694]) ).

fof(f3703,plain,
    ( c3_1(a1664)
    | c2_1(a1664)
    | ~ spl0_34
    | spl0_300 ),
    inference(resolution,[],[f514,f1681]) ).

fof(f3705,plain,
    ( c3_1(a1677)
    | c2_1(a1677)
    | ~ spl0_34
    | spl0_285 ),
    inference(resolution,[],[f514,f1611]) ).

fof(f3712,plain,
    ( c3_1(a1692)
    | c2_1(a1692)
    | ~ spl0_34
    | spl0_137 ),
    inference(resolution,[],[f514,f920]) ).

fof(f3716,plain,
    ( spl0_136
    | spl0_348
    | ~ spl0_34
    | spl0_137 ),
    inference(avatar_split_clause,[],[f3712,f919,f513,f2067,f915]) ).

fof(f3720,plain,
    ( spl0_286
    | spl0_364
    | ~ spl0_34
    | spl0_285 ),
    inference(avatar_split_clause,[],[f3705,f1610,f513,f2424,f1615]) ).

fof(f3723,plain,
    ( spl0_301
    | spl0_302
    | ~ spl0_34
    | spl0_300 ),
    inference(avatar_split_clause,[],[f3703,f1680,f513,f1689,f1685]) ).

fof(f3730,plain,
    ( ~ c3_1(a1665)
    | ~ c2_1(a1665)
    | ~ spl0_26
    | spl0_163 ),
    inference(resolution,[],[f1042,f488]) ).

fof(f3732,plain,
    ( ~ spl0_369
    | ~ spl0_162
    | ~ spl0_26
    | spl0_163 ),
    inference(avatar_split_clause,[],[f3730,f1041,f487,f1036,f2690]) ).

fof(f3740,plain,
    ( ~ c3_1(a1725)
    | c2_1(a1725)
    | ~ spl0_38
    | ~ spl0_215 ),
    inference(resolution,[],[f528,f1284]) ).

fof(f3751,plain,
    ( spl0_213
    | ~ spl0_214
    | ~ spl0_38
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f3740,f1283,f527,f1279,f1274]) ).

fof(f3804,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_60 ),
    inference(resolution,[],[f607,f412]) ).

fof(f3816,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f3804]) ).

fof(f3889,plain,
    ( spl0_133
    | ~ spl0_132
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2347,f905,f527,f896,f901]) ).

fof(f3895,plain,
    ( ~ c0_1(a1702)
    | ~ c3_1(a1702)
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(resolution,[],[f902,f478]) ).

fof(f3896,plain,
    ( ~ spl0_132
    | ~ spl0_342
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3895,f901,f477,f1987,f896]) ).

fof(f3903,plain,
    ( c3_1(a1690)
    | ~ c2_1(a1690)
    | ~ spl0_7
    | spl0_258 ),
    inference(resolution,[],[f1485,f422]) ).

fof(f3904,plain,
    ( ~ spl0_260
    | spl0_349
    | ~ spl0_7
    | spl0_258 ),
    inference(avatar_split_clause,[],[f3903,f1484,f421,f2074,f1493]) ).

fof(f3908,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f642,f514]) ).

fof(f3915,plain,
    ( c3_1(a1638)
    | ~ c0_1(a1638)
    | ~ spl0_70
    | ~ spl0_209 ),
    inference(resolution,[],[f642,f1256]) ).

fof(f3924,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(duplicate_literal_removal,[],[f3908]) ).

fof(f3927,plain,
    ( ~ spl0_207
    | spl0_208
    | ~ spl0_70
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3915,f1255,f641,f1251,f1246]) ).

fof(f3930,plain,
    ( spl0_11
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f3924,f641,f513,f435]) ).

fof(f3937,plain,
    ( c3_1(a1681)
    | c2_1(a1681)
    | ~ spl0_34
    | spl0_278 ),
    inference(resolution,[],[f1578,f514]) ).

fof(f3940,plain,
    ( spl0_276
    | spl0_277
    | ~ spl0_34
    | spl0_278 ),
    inference(avatar_split_clause,[],[f3937,f1577,f513,f1573,f1568]) ).

fof(f3952,plain,
    ( c0_1(a1664)
    | c2_1(a1664)
    | ~ spl0_33
    | spl0_300 ),
    inference(resolution,[],[f511,f1681]) ).

fof(f3953,plain,
    ( c0_1(a1677)
    | c2_1(a1677)
    | ~ spl0_33
    | spl0_285 ),
    inference(resolution,[],[f511,f1611]) ).

fof(f3962,plain,
    ( c0_1(a1674)
    | c2_1(a1674)
    | ~ spl0_33
    | spl0_152 ),
    inference(resolution,[],[f511,f990]) ).

fof(f3967,plain,
    ( spl0_151
    | spl0_343
    | ~ spl0_33
    | spl0_152 ),
    inference(avatar_split_clause,[],[f3962,f989,f510,f2019,f985]) ).

fof(f3973,plain,
    ( spl0_286
    | spl0_287
    | ~ spl0_33
    | spl0_285 ),
    inference(avatar_split_clause,[],[f3953,f1610,f510,f1619,f1615]) ).

fof(f3974,plain,
    ( spl0_301
    | spl0_385
    | ~ spl0_33
    | spl0_300 ),
    inference(avatar_split_clause,[],[f3952,f1680,f510,f3693,f1685]) ).

fof(f4000,plain,
    ( ~ spl0_372
    | ~ spl0_272
    | ~ spl0_14
    | spl0_270 ),
    inference(avatar_split_clause,[],[f2759,f1540,f445,f1549,f2716]) ).

fof(f4001,plain,
    ( ~ spl0_343
    | ~ spl0_150
    | ~ spl0_14
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2767,f989,f445,f980,f2019]) ).

fof(f4004,plain,
    ( ~ spl0_135
    | ~ spl0_348
    | ~ spl0_14
    | spl0_137 ),
    inference(avatar_split_clause,[],[f3463,f919,f445,f2067,f910]) ).

fof(f4019,plain,
    ( ~ spl0_358
    | ~ spl0_192
    | ~ spl0_26
    | spl0_194 ),
    inference(avatar_split_clause,[],[f3630,f1185,f487,f1176,f2225]) ).

fof(f4032,plain,
    ( spl0_30
    | ~ spl0_4
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f3816,f606,f411,f500]) ).

fof(f4041,plain,
    ( ~ c3_1(a1715)
    | c2_1(a1715)
    | ~ spl0_38
    | ~ spl0_118 ),
    inference(resolution,[],[f832,f528]) ).

fof(f4042,plain,
    ( c0_1(a1715)
    | c2_1(a1715)
    | ~ spl0_4
    | ~ spl0_118 ),
    inference(resolution,[],[f832,f412]) ).

fof(f4043,plain,
    ( spl0_119
    | spl0_378
    | ~ spl0_4
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f4042,f831,f411,f3089,f835]) ).

fof(f4044,plain,
    ( spl0_119
    | ~ spl0_117
    | ~ spl0_38
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f4041,f831,f527,f826,f835]) ).

fof(f4104,plain,
    ( c2_1(a1643)
    | ~ c3_1(a1643)
    | ~ spl0_8
    | spl0_332 ),
    inference(resolution,[],[f426,f1830]) ).

fof(f4109,plain,
    ( c2_1(a1667)
    | ~ c3_1(a1667)
    | ~ spl0_8
    | spl0_294 ),
    inference(resolution,[],[f426,f1653]) ).

fof(f4119,plain,
    ( c2_1(a1644)
    | ~ c3_1(a1644)
    | ~ spl0_8
    | spl0_194 ),
    inference(resolution,[],[f426,f1186]) ).

fof(f4121,plain,
    ( c2_1(a1692)
    | ~ c3_1(a1692)
    | ~ spl0_8
    | spl0_137 ),
    inference(resolution,[],[f426,f920]) ).

fof(f4123,plain,
    ( ~ spl0_348
    | spl0_136
    | ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f4121,f919,f425,f915,f2067]) ).

fof(f4124,plain,
    ( ~ spl0_192
    | spl0_358
    | ~ spl0_8
    | spl0_194 ),
    inference(avatar_split_clause,[],[f4119,f1185,f425,f2225,f1176]) ).

fof(f4127,plain,
    ( ~ spl0_295
    | spl0_379
    | ~ spl0_8
    | spl0_294 ),
    inference(avatar_split_clause,[],[f4109,f1652,f425,f3194,f1657]) ).

fof(f4130,plain,
    ( ~ spl0_331
    | spl0_330
    | ~ spl0_8
    | spl0_332 ),
    inference(avatar_split_clause,[],[f4104,f1829,f425,f1820,f1825]) ).

fof(f4138,plain,
    ( c3_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_11
    | spl0_333 ),
    inference(resolution,[],[f436,f1835]) ).

fof(f4143,plain,
    ( c3_1(a1664)
    | ~ c0_1(a1664)
    | ~ spl0_11
    | spl0_301 ),
    inference(resolution,[],[f436,f1686]) ).

fof(f4146,plain,
    ( c3_1(a1691)
    | ~ c0_1(a1691)
    | ~ spl0_11
    | spl0_255 ),
    inference(resolution,[],[f436,f1471]) ).

fof(f4155,plain,
    ( c3_1(a1649)
    | ~ c0_1(a1649)
    | ~ spl0_11
    | spl0_190 ),
    inference(resolution,[],[f436,f1168]) ).

fof(f4158,plain,
    ( c3_1(a1692)
    | ~ c0_1(a1692)
    | ~ spl0_11
    | spl0_136 ),
    inference(resolution,[],[f436,f916]) ).

fof(f4162,plain,
    ( ~ spl0_135
    | spl0_348
    | ~ spl0_11
    | spl0_136 ),
    inference(avatar_split_clause,[],[f4158,f915,f435,f2067,f910]) ).

fof(f4164,plain,
    ( ~ spl0_189
    | spl0_191
    | ~ spl0_11
    | spl0_190 ),
    inference(avatar_split_clause,[],[f4155,f1167,f435,f1171,f1162]) ).

fof(f4167,plain,
    ( ~ spl0_341
    | spl0_257
    | ~ spl0_11
    | spl0_255 ),
    inference(avatar_split_clause,[],[f4146,f1470,f435,f1479,f1963]) ).

fof(f4171,plain,
    ( ~ spl0_385
    | spl0_302
    | ~ spl0_11
    | spl0_301 ),
    inference(avatar_split_clause,[],[f4143,f1685,f435,f1689,f3693]) ).

fof(f4173,plain,
    ( ~ spl0_334
    | spl0_356
    | ~ spl0_11
    | spl0_333 ),
    inference(avatar_split_clause,[],[f4138,f1834,f435,f2187,f1839]) ).

fof(f4181,plain,
    ( ~ c3_1(a1677)
    | c0_1(a1677)
    | ~ spl0_16
    | spl0_285 ),
    inference(resolution,[],[f452,f1611]) ).

fof(f4184,plain,
    ( ~ c3_1(a1683)
    | c0_1(a1683)
    | ~ spl0_16
    | spl0_270 ),
    inference(resolution,[],[f452,f1541]) ).

fof(f4186,plain,
    ( ~ c3_1(a1690)
    | c0_1(a1690)
    | ~ spl0_16
    | spl0_258 ),
    inference(resolution,[],[f452,f1485]) ).

fof(f4190,plain,
    ( ~ c3_1(a1644)
    | c0_1(a1644)
    | ~ spl0_16
    | spl0_194 ),
    inference(resolution,[],[f452,f1186]) ).

fof(f4196,plain,
    ( spl0_193
    | ~ spl0_192
    | ~ spl0_16
    | spl0_194 ),
    inference(avatar_split_clause,[],[f4190,f1185,f451,f1176,f1181]) ).

fof(f4197,plain,
    ( spl0_259
    | ~ spl0_349
    | ~ spl0_16
    | spl0_258 ),
    inference(avatar_split_clause,[],[f4186,f1484,f451,f2074,f1489]) ).

fof(f4200,plain,
    ( spl0_372
    | ~ spl0_272
    | ~ spl0_16
    | spl0_270 ),
    inference(avatar_split_clause,[],[f4184,f1540,f451,f1549,f2716]) ).

fof(f4201,plain,
    ( spl0_287
    | ~ spl0_364
    | ~ spl0_16
    | spl0_285 ),
    inference(avatar_split_clause,[],[f4181,f1610,f451,f2424,f1619]) ).

fof(f4228,plain,
    ( c0_1(a1702)
    | ~ c3_1(a1702)
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(resolution,[],[f459,f902]) ).

fof(f4230,plain,
    ( ~ spl0_132
    | spl0_342
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f4228,f901,f458,f1987,f896]) ).

fof(f4247,plain,
    ( ~ c0_1(a1664)
    | c2_1(a1664)
    | ~ spl0_21
    | spl0_300 ),
    inference(resolution,[],[f470,f1681]) ).

fof(f4248,plain,
    ( ~ c0_1(a1667)
    | c2_1(a1667)
    | ~ spl0_21
    | spl0_294 ),
    inference(resolution,[],[f470,f1653]) ).

fof(f4260,plain,
    ( ~ c0_1(a1692)
    | c2_1(a1692)
    | ~ spl0_21
    | spl0_137 ),
    inference(resolution,[],[f470,f920]) ).

fof(f4262,plain,
    ( spl0_136
    | ~ spl0_135
    | ~ spl0_21
    | spl0_137 ),
    inference(avatar_split_clause,[],[f4260,f919,f469,f910,f915]) ).

fof(f4266,plain,
    ( spl0_379
    | ~ spl0_296
    | ~ spl0_21
    | spl0_294 ),
    inference(avatar_split_clause,[],[f4248,f1652,f469,f1661,f3194]) ).

fof(f4267,plain,
    ( spl0_301
    | ~ spl0_385
    | ~ spl0_21
    | spl0_300 ),
    inference(avatar_split_clause,[],[f4247,f1680,f469,f3693,f1685]) ).

fof(f4276,plain,
    ( c0_1(a1672)
    | ~ c3_1(a1672)
    | ~ spl0_27
    | ~ spl0_289 ),
    inference(resolution,[],[f491,f1630]) ).

fof(f4277,plain,
    ( c0_1(a1698)
    | ~ c3_1(a1698)
    | ~ spl0_27
    | ~ spl0_245 ),
    inference(resolution,[],[f491,f1424]) ).

fof(f4285,plain,
    ( c0_1(a1702)
    | ~ c3_1(a1702)
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(resolution,[],[f491,f906]) ).

fof(f4287,plain,
    ( c0_1(a1715)
    | ~ c3_1(a1715)
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(resolution,[],[f491,f832]) ).

fof(f4290,plain,
    ( ~ spl0_117
    | spl0_378
    | ~ spl0_27
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f4287,f831,f490,f3089,f826]) ).

fof(f4291,plain,
    ( ~ spl0_132
    | spl0_342
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4285,f905,f490,f1987,f896]) ).

fof(f4295,plain,
    ( ~ spl0_244
    | spl0_243
    | ~ spl0_27
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f4277,f1423,f490,f1414,f1419]) ).

fof(f4296,plain,
    ( ~ spl0_290
    | spl0_288
    | ~ spl0_27
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f4276,f1629,f490,f1624,f1633]) ).

fof(f4306,plain,
    ( c3_1(a1695)
    | ~ c0_1(a1695)
    | ~ spl0_32
    | ~ spl0_248 ),
    inference(resolution,[],[f508,f1438]) ).

fof(f4308,plain,
    ( c3_1(a1714)
    | ~ c0_1(a1714)
    | ~ spl0_32
    | ~ spl0_224 ),
    inference(resolution,[],[f508,f1326]) ).

fof(f4313,plain,
    ( c3_1(a1656)
    | ~ c0_1(a1656)
    | ~ spl0_32
    | ~ spl0_175 ),
    inference(resolution,[],[f508,f1098]) ).

fof(f4319,plain,
    ( c3_1(a1716)
    | ~ c0_1(a1716)
    | ~ spl0_32
    | ~ spl0_116 ),
    inference(resolution,[],[f508,f822]) ).

fof(f4321,plain,
    ( ~ spl0_114
    | spl0_115
    | ~ spl0_32
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f4319,f821,f507,f817,f812]) ).

fof(f4322,plain,
    ( ~ spl0_174
    | spl0_176
    | ~ spl0_32
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f4313,f1097,f507,f1101,f1092]) ).

fof(f4324,plain,
    ( ~ spl0_223
    | spl0_371
    | ~ spl0_32
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f4308,f1325,f507,f2704,f1321]) ).

fof(f4326,plain,
    ( ~ spl0_247
    | spl0_246
    | ~ spl0_32
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f4306,f1437,f507,f1428,f1433]) ).

fof(f4396,plain,
    ( ~ c2_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_47
    | spl0_294 ),
    inference(resolution,[],[f560,f1653]) ).

fof(f4405,plain,
    ( ~ c2_1(a1714)
    | ~ c0_1(a1714)
    | ~ spl0_47
    | spl0_222 ),
    inference(resolution,[],[f560,f1317]) ).

fof(f4410,plain,
    ( ~ spl0_223
    | ~ spl0_224
    | ~ spl0_47
    | spl0_222 ),
    inference(avatar_split_clause,[],[f4405,f1316,f559,f1325,f1321]) ).

fof(f4413,plain,
    ( ~ spl0_296
    | ~ spl0_379
    | ~ spl0_47
    | spl0_294 ),
    inference(avatar_split_clause,[],[f4396,f1652,f559,f3194,f1661]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_11
    | spl0_20 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8
    | spl0_21 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_11
    | spl0_22 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_38
    | spl0_44 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_38
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_26
    | spl0_50 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_12
    | spl0_16 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s25,plain,
    ( spl0_15
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s26,plain,
    ( spl0_56
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_26
    | spl0_59 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_42
    | spl0_68 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_69
    | spl0_70
    | spl0_71 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_14
    | spl0_16 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s41,plain,
    ( spl0_79
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_20
    | spl0_85 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_30
    | spl0_47 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_55
    | spl0_93 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s56,plain,
    ( spl0_22
    | spl0_90
    | spl0_101 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_30
    | spl0_102 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_37
    | spl0_107 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s69,plain,
    ( ~ spl0_28
    | spl0_114 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s70,plain,
    ( ~ spl0_28
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s71,plain,
    ( ~ spl0_28
    | spl0_116 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s73,plain,
    ( ~ spl0_29
    | spl0_117 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s74,plain,
    ( ~ spl0_29
    | spl0_118 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s75,plain,
    ( ~ spl0_29
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s85,plain,
    ( ~ spl0_43
    | spl0_126 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s86,plain,
    ( ~ spl0_43
    | spl0_127 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s87,plain,
    ( ~ spl0_43
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s93,plain,
    ( ~ spl0_50
    | spl0_132 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s94,plain,
    ( ~ spl0_50
    | spl0_133 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s95,plain,
    ( ~ spl0_50
    | spl0_134 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s97,plain,
    ( ~ spl0_58
    | spl0_135 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s98,plain,
    ( ~ spl0_58
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s99,plain,
    ( ~ spl0_58
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s117,plain,
    ( ~ spl0_13
    | spl0_150 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s118,plain,
    ( ~ spl0_13
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s119,plain,
    ( ~ spl0_13
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s133,plain,
    ( ~ spl0_20
    | spl0_162 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s134,plain,
    ( ~ spl0_20
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s135,plain,
    ( ~ spl0_20
    | spl0_164 ),
    inference(sat_conversion,[],[f1047]) ).

cnf(s141,plain,
    ( ~ spl0_88
    | spl0_168 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s142,plain,
    ( ~ spl0_88
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s143,plain,
    ( ~ spl0_88
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s149,plain,
    ( ~ spl0_54
    | spl0_174 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s150,plain,
    ( ~ spl0_54
    | spl0_175 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s151,plain,
    ( ~ spl0_54
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s153,plain,
    ( ~ spl0_55
    | spl0_177 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s154,plain,
    ( ~ spl0_55
    | spl0_178 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s155,plain,
    ( ~ spl0_55
    | spl0_179 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s169,plain,
    ( ~ spl0_98
    | spl0_189 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s170,plain,
    ( ~ spl0_98
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s171,plain,
    ( ~ spl0_98
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s173,plain,
    ( ~ spl0_22
    | spl0_192 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s174,plain,
    ( ~ spl0_22
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s175,plain,
    ( ~ spl0_22
    | ~ spl0_194 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s176,plain,
    ( spl0_3
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s193,plain,
    ( ~ spl0_107
    | spl0_207 ),
    inference(sat_conversion,[],[f1249]) ).

cnf(s194,plain,
    ( ~ spl0_107
    | ~ spl0_208 ),
    inference(sat_conversion,[],[f1253]) ).

cnf(s195,plain,
    ( ~ spl0_107
    | spl0_209 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s201,plain,
    ( ~ spl0_6
    | ~ spl0_213 ),
    inference(sat_conversion,[],[f1277]) ).

cnf(s202,plain,
    ( ~ spl0_6
    | spl0_214 ),
    inference(sat_conversion,[],[f1281]) ).

cnf(s203,plain,
    ( ~ spl0_6
    | spl0_215 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s205,plain,
    ( ~ spl0_19
    | ~ spl0_216 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s206,plain,
    ( ~ spl0_19
    | spl0_217 ),
    inference(sat_conversion,[],[f1295]) ).

cnf(s207,plain,
    ( ~ spl0_19
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s213,plain,
    ( ~ spl0_31
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s214,plain,
    ( ~ spl0_31
    | spl0_223 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s215,plain,
    ( ~ spl0_31
    | spl0_224 ),
    inference(sat_conversion,[],[f1327]) ).

cnf(s225,plain,
    ( ~ spl0_48
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f1361]) ).

cnf(s226,plain,
    ( ~ spl0_48
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s227,plain,
    ( ~ spl0_48
    | spl0_233 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s241,plain,
    ( ~ spl0_1
    | ~ spl0_243 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s242,plain,
    ( ~ spl0_1
    | spl0_244 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s243,plain,
    ( ~ spl0_1
    | spl0_245 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s245,plain,
    ( ~ spl0_15
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f1431]) ).

cnf(s246,plain,
    ( ~ spl0_15
    | spl0_247 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s247,plain,
    ( ~ spl0_15
    | spl0_248 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s249,plain,
    ( ~ spl0_56
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s250,plain,
    ( ~ spl0_56
    | spl0_250 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s251,plain,
    ( ~ spl0_56
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f1453]) ).

cnf(s253,plain,
    ( ~ spl0_57
    | ~ spl0_252 ),
    inference(sat_conversion,[],[f1459]) ).

cnf(s254,plain,
    ( ~ spl0_57
    | ~ spl0_253 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s255,plain,
    ( ~ spl0_57
    | ~ spl0_254 ),
    inference(sat_conversion,[],[f1467]) ).

cnf(s257,plain,
    ( ~ spl0_59
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f1473]) ).

cnf(s258,plain,
    ( ~ spl0_59
    | ~ spl0_256 ),
    inference(sat_conversion,[],[f1477]) ).

cnf(s259,plain,
    ( ~ spl0_59
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f1481]) ).

cnf(s261,plain,
    ( ~ spl0_61
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s262,plain,
    ( ~ spl0_61
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f1491]) ).

cnf(s263,plain,
    ( ~ spl0_61
    | spl0_260 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s277,plain,
    ( ~ spl0_68
    | ~ spl0_270 ),
    inference(sat_conversion,[],[f1543]) ).

cnf(s279,plain,
    ( ~ spl0_68
    | spl0_272 ),
    inference(sat_conversion,[],[f1551]) ).

cnf(s281,plain,
    ( ~ spl0_69
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f1557]) ).

cnf(s282,plain,
    ( ~ spl0_69
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s283,plain,
    ( ~ spl0_69
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s285,plain,
    ( ~ spl0_71
    | ~ spl0_276 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s286,plain,
    ( ~ spl0_71
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s287,plain,
    ( ~ spl0_71
    | ~ spl0_278 ),
    inference(sat_conversion,[],[f1579]) ).

cnf(s293,plain,
    ( ~ spl0_74
    | ~ spl0_282 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s294,plain,
    ( ~ spl0_74
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s295,plain,
    ( ~ spl0_74
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s297,plain,
    ( ~ spl0_75
    | ~ spl0_285 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s298,plain,
    ( ~ spl0_75
    | ~ spl0_286 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s299,plain,
    ( ~ spl0_75
    | ~ spl0_287 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s301,plain,
    ( ~ spl0_79
    | ~ spl0_288 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s302,plain,
    ( ~ spl0_79
    | spl0_289 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s303,plain,
    ( ~ spl0_79
    | spl0_290 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s305,plain,
    ( ~ spl0_80
    | ~ spl0_291 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s306,plain,
    ( ~ spl0_80
    | ~ spl0_292 ),
    inference(sat_conversion,[],[f1645]) ).

cnf(s307,plain,
    ( ~ spl0_80
    | spl0_293 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s309,plain,
    ( ~ spl0_44
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s310,plain,
    ( ~ spl0_44
    | spl0_295 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s311,plain,
    ( ~ spl0_44
    | spl0_296 ),
    inference(sat_conversion,[],[f1663]) ).

cnf(s317,plain,
    ( ~ spl0_85
    | ~ spl0_300 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s318,plain,
    ( ~ spl0_85
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s319,plain,
    ( ~ spl0_85
    | ~ spl0_302 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s321,plain,
    ( ~ spl0_81
    | ~ spl0_303 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s322,plain,
    ( ~ spl0_81
    | ~ spl0_304 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s323,plain,
    ( ~ spl0_81
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s325,plain,
    ( ~ spl0_89
    | ~ spl0_306 ),
    inference(sat_conversion,[],[f1711]) ).

cnf(s326,plain,
    ( ~ spl0_89
    | ~ spl0_307 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s327,plain,
    ( ~ spl0_89
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f1719]) ).

cnf(s333,plain,
    ( ~ spl0_93
    | ~ spl0_312 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s334,plain,
    ( ~ spl0_93
    | spl0_313 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s335,plain,
    ( ~ spl0_93
    | spl0_314 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s337,plain,
    ( ~ spl0_97
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s338,plain,
    ( ~ spl0_97
    | ~ spl0_316 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s339,plain,
    ( ~ spl0_97
    | ~ spl0_317 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s352,plain,
    ( spl0_3
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s356,plain,
    ( spl0_3
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s357,plain,
    ( ~ spl0_102
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s358,plain,
    ( ~ spl0_102
    | spl0_331 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s359,plain,
    ( ~ spl0_102
    | ~ spl0_332 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s361,plain,
    ( ~ spl0_37
    | ~ spl0_333 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s362,plain,
    ( ~ spl0_37
    | spl0_334 ),
    inference(sat_conversion,[],[f1841]) ).

cnf(s363,plain,
    ( ~ spl0_37
    | spl0_335 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s435,plain,
    ( ~ spl0_33
    | spl0_255
    | spl0_256
    | spl0_341 ),
    inference(sat_conversion,[],[f2239]) ).

cnf(s437,plain,
    ( ~ spl0_33
    | spl0_282
    | spl0_283
    | spl0_284 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s446,plain,
    ( ~ spl0_34
    | spl0_255
    | spl0_256
    | spl0_257 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s447,plain,
    ( ~ spl0_34
    | spl0_273
    | spl0_274
    | spl0_275 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s449,plain,
    ( ~ spl0_34
    | spl0_315
    | spl0_316
    | spl0_317 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s474,plain,
    ( ~ spl0_7
    | spl0_231
    | spl0_232
    | ~ spl0_233 ),
    inference(sat_conversion,[],[f2368]) ).

cnf(s501,plain,
    ( ~ spl0_16
    | spl0_216
    | ~ spl0_217
    | spl0_218 ),
    inference(sat_conversion,[],[f2487]) ).

cnf(s534,plain,
    ( ~ spl0_11
    | spl0_169
    | spl0_170
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f2560]) ).

cnf(s554,plain,
    ( ~ spl0_5
    | ~ spl0_334
    | ~ spl0_335
    | ~ spl0_356 ),
    inference(sat_conversion,[],[f2600]) ).

cnf(s556,plain,
    ( ~ spl0_12
    | ~ spl0_168
    | spl0_170
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f2619]) ).

cnf(s558,plain,
    ( ~ spl0_12
    | spl0_333
    | ~ spl0_334
    | ~ spl0_335 ),
    inference(sat_conversion,[],[f2625]) ).

cnf(s570,plain,
    ( ~ spl0_16
    | spl0_283
    | spl0_284
    | ~ spl0_340 ),
    inference(sat_conversion,[],[f2654]) ).

cnf(s571,plain,
    ( ~ spl0_34
    | spl0_282
    | spl0_283
    | spl0_340 ),
    inference(sat_conversion,[],[f2655]) ).

cnf(s572,plain,
    ( ~ spl0_4
    | spl0_30
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f2656]) ).

cnf(s613,plain,
    ( ~ spl0_34
    | spl0_306
    | spl0_308
    | spl0_354 ),
    inference(sat_conversion,[],[f2722]) ).

cnf(s630,plain,
    ( ~ spl0_42
    | ~ spl0_168
    | spl0_169
    | spl0_170 ),
    inference(sat_conversion,[],[f2779]) ).

cnf(s640,plain,
    ( ~ spl0_17
    | spl0_213
    | ~ spl0_214
    | ~ spl0_375 ),
    inference(sat_conversion,[],[f2827]) ).

cnf(s641,plain,
    ( ~ spl0_17
    | spl0_312
    | ~ spl0_313
    | ~ spl0_314 ),
    inference(sat_conversion,[],[f2828]) ).

cnf(s643,plain,
    ( ~ spl0_17
    | spl0_333
    | ~ spl0_334
    | ~ spl0_356 ),
    inference(sat_conversion,[],[f2830]) ).

cnf(s655,plain,
    ( ~ spl0_30
    | spl0_282
    | spl0_284
    | spl0_340 ),
    inference(sat_conversion,[],[f2837]) ).

cnf(s683,plain,
    ( ~ spl0_21
    | spl0_163
    | ~ spl0_164
    | spl0_369 ),
    inference(sat_conversion,[],[f2938]) ).

cnf(s691,plain,
    ( ~ spl0_5
    | spl0_23
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f2964]) ).

cnf(s738,plain,
    ( ~ spl0_5
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_378 ),
    inference(sat_conversion,[],[f3094]) ).

cnf(s824,plain,
    ( ~ spl0_14
    | ~ spl0_162
    | spl0_163
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3264]) ).

cnf(s838,plain,
    ( ~ spl0_30
    | spl0_255
    | spl0_257
    | spl0_341 ),
    inference(sat_conversion,[],[f3276]) ).

cnf(s868,plain,
    ( ~ spl0_4
    | spl0_213
    | ~ spl0_215
    | spl0_375 ),
    inference(sat_conversion,[],[f3345]) ).

cnf(s877,plain,
    ( ~ spl0_7
    | spl0_249
    | ~ spl0_250
    | spl0_251 ),
    inference(sat_conversion,[],[f3379]) ).

cnf(s879,plain,
    ( ~ spl0_7
    | spl0_291
    | spl0_292
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f3383]) ).

cnf(s881,plain,
    ( ~ spl0_7
    | spl0_306
    | spl0_308
    | ~ spl0_354 ),
    inference(sat_conversion,[],[f3385]) ).

cnf(s917,plain,
    ( ~ spl0_12
    | ~ spl0_118
    | spl0_119
    | ~ spl0_378 ),
    inference(sat_conversion,[],[f3439]) ).

cnf(s919,plain,
    ( ~ spl0_12
    | ~ spl0_207
    | ~ spl0_209
    | spl0_384 ),
    inference(sat_conversion,[],[f3445]) ).

cnf(s920,plain,
    ( ~ spl0_12
    | spl0_213
    | ~ spl0_215
    | ~ spl0_375 ),
    inference(sat_conversion,[],[f3446]) ).

cnf(s923,plain,
    ( ~ spl0_14
    | ~ spl0_126
    | ~ spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f3467]) ).

cnf(s927,plain,
    ( ~ spl0_14
    | spl0_294
    | ~ spl0_295
    | ~ spl0_296 ),
    inference(sat_conversion,[],[f3471]) ).

cnf(s935,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f3497]) ).

cnf(s968,plain,
    ( ~ spl0_33
    | spl0_306
    | spl0_307
    | spl0_354 ),
    inference(sat_conversion,[],[f3528]) ).

cnf(s980,plain,
    ( ~ spl0_4
    | ~ spl0_168
    | spl0_170
    | spl0_360 ),
    inference(sat_conversion,[],[f3542]) ).

cnf(s987,plain,
    ( ~ spl0_10
    | spl0_208
    | ~ spl0_209
    | ~ spl0_384 ),
    inference(sat_conversion,[],[f3587]) ).

cnf(s994,plain,
    ( ~ spl0_23
    | ~ spl0_177
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f3610]) ).

cnf(s1003,plain,
    ( ~ spl0_26
    | spl0_294
    | ~ spl0_295
    | ~ spl0_379 ),
    inference(sat_conversion,[],[f3645]) ).

cnf(s1021,plain,
    ( ~ spl0_23
    | ~ spl0_223
    | ~ spl0_224
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f3662]) ).

cnf(s1023,plain,
    ( ~ spl0_30
    | spl0_169
    | spl0_170
    | spl0_360 ),
    inference(sat_conversion,[],[f3688]) ).

cnf(s1025,plain,
    ( ~ spl0_30
    | spl0_252
    | spl0_253
    | spl0_254 ),
    inference(sat_conversion,[],[f3690]) ).

cnf(s1026,plain,
    ( ~ spl0_30
    | spl0_286
    | spl0_287
    | spl0_364 ),
    inference(sat_conversion,[],[f3691]) ).

cnf(s1027,plain,
    ( ~ spl0_30
    | spl0_301
    | spl0_302
    | spl0_385 ),
    inference(sat_conversion,[],[f3695]) ).

cnf(s1028,plain,
    ( ~ spl0_30
    | spl0_303
    | spl0_304
    | spl0_305 ),
    inference(sat_conversion,[],[f3696]) ).

cnf(s1031,plain,
    ( ~ spl0_34
    | spl0_136
    | spl0_137
    | spl0_348 ),
    inference(sat_conversion,[],[f3716]) ).

cnf(s1035,plain,
    ( ~ spl0_34
    | spl0_285
    | spl0_286
    | spl0_364 ),
    inference(sat_conversion,[],[f3720]) ).

cnf(s1037,plain,
    ( ~ spl0_34
    | spl0_300
    | spl0_301
    | spl0_302 ),
    inference(sat_conversion,[],[f3723]) ).

cnf(s1043,plain,
    ( ~ spl0_26
    | ~ spl0_162
    | spl0_163
    | ~ spl0_369 ),
    inference(sat_conversion,[],[f3732]) ).

cnf(s1045,plain,
    ( ~ spl0_38
    | spl0_213
    | ~ spl0_214
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f3751]) ).

cnf(s1087,plain,
    ( ~ spl0_38
    | ~ spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3889]) ).

cnf(s1093,plain,
    ( ~ spl0_23
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_342 ),
    inference(sat_conversion,[],[f3896]) ).

cnf(s1095,plain,
    ( ~ spl0_7
    | spl0_258
    | ~ spl0_260
    | spl0_349 ),
    inference(sat_conversion,[],[f3904]) ).

cnf(s1099,plain,
    ( ~ spl0_70
    | ~ spl0_207
    | spl0_208
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f3927]) ).

cnf(s1102,plain,
    ( spl0_11
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f3930]) ).

cnf(s1104,plain,
    ( ~ spl0_34
    | spl0_276
    | spl0_277
    | spl0_278 ),
    inference(sat_conversion,[],[f3940]) ).

cnf(s1110,plain,
    ( ~ spl0_33
    | spl0_151
    | spl0_152
    | spl0_343 ),
    inference(sat_conversion,[],[f3967]) ).

cnf(s1116,plain,
    ( ~ spl0_33
    | spl0_285
    | spl0_286
    | spl0_287 ),
    inference(sat_conversion,[],[f3973]) ).

cnf(s1117,plain,
    ( ~ spl0_33
    | spl0_300
    | spl0_301
    | spl0_385 ),
    inference(sat_conversion,[],[f3974]) ).

cnf(s1143,plain,
    ( ~ spl0_14
    | spl0_270
    | ~ spl0_272
    | ~ spl0_372 ),
    inference(sat_conversion,[],[f4000]) ).

cnf(s1144,plain,
    ( ~ spl0_14
    | ~ spl0_150
    | spl0_152
    | ~ spl0_343 ),
    inference(sat_conversion,[],[f4001]) ).

cnf(s1147,plain,
    ( ~ spl0_14
    | ~ spl0_135
    | spl0_137
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f4004]) ).

cnf(s1162,plain,
    ( ~ spl0_26
    | ~ spl0_192
    | spl0_194
    | ~ spl0_358 ),
    inference(sat_conversion,[],[f4019]) ).

cnf(s1175,plain,
    ( ~ spl0_4
    | spl0_30
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f4032]) ).

cnf(s1184,plain,
    ( ~ spl0_4
    | ~ spl0_118
    | spl0_119
    | spl0_378 ),
    inference(sat_conversion,[],[f4043]) ).

cnf(s1185,plain,
    ( ~ spl0_38
    | ~ spl0_117
    | ~ spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f4044]) ).

cnf(s1252,plain,
    ( ~ spl0_8
    | spl0_136
    | spl0_137
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f4123]) ).

cnf(s1253,plain,
    ( ~ spl0_8
    | ~ spl0_192
    | spl0_194
    | spl0_358 ),
    inference(sat_conversion,[],[f4124]) ).

cnf(s1256,plain,
    ( ~ spl0_8
    | spl0_294
    | ~ spl0_295
    | spl0_379 ),
    inference(sat_conversion,[],[f4127]) ).

cnf(s1257,plain,
    ( ~ spl0_8
    | spl0_330
    | ~ spl0_331
    | spl0_332 ),
    inference(sat_conversion,[],[f4130]) ).

cnf(s1266,plain,
    ( ~ spl0_11
    | ~ spl0_135
    | spl0_136
    | spl0_348 ),
    inference(sat_conversion,[],[f4162]) ).

cnf(s1268,plain,
    ( ~ spl0_11
    | ~ spl0_189
    | spl0_190
    | spl0_191 ),
    inference(sat_conversion,[],[f4164]) ).

cnf(s1271,plain,
    ( ~ spl0_11
    | spl0_255
    | spl0_257
    | ~ spl0_341 ),
    inference(sat_conversion,[],[f4167]) ).

cnf(s1273,plain,
    ( ~ spl0_11
    | spl0_301
    | spl0_302
    | ~ spl0_385 ),
    inference(sat_conversion,[],[f4171]) ).

cnf(s1275,plain,
    ( ~ spl0_11
    | spl0_333
    | ~ spl0_334
    | spl0_356 ),
    inference(sat_conversion,[],[f4173]) ).

cnf(s1278,plain,
    ( ~ spl0_16
    | ~ spl0_192
    | spl0_193
    | spl0_194 ),
    inference(sat_conversion,[],[f4196]) ).

cnf(s1279,plain,
    ( ~ spl0_16
    | spl0_258
    | spl0_259
    | ~ spl0_349 ),
    inference(sat_conversion,[],[f4197]) ).

cnf(s1281,plain,
    ( ~ spl0_16
    | spl0_270
    | ~ spl0_272
    | spl0_372 ),
    inference(sat_conversion,[],[f4200]) ).

cnf(s1282,plain,
    ( ~ spl0_16
    | spl0_285
    | spl0_287
    | ~ spl0_364 ),
    inference(sat_conversion,[],[f4201]) ).

cnf(s1287,plain,
    ( ~ spl0_18
    | ~ spl0_132
    | ~ spl0_133
    | spl0_342 ),
    inference(sat_conversion,[],[f4230]) ).

cnf(s1299,plain,
    ( ~ spl0_21
    | ~ spl0_135
    | spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f4262]) ).

cnf(s1303,plain,
    ( ~ spl0_21
    | spl0_294
    | ~ spl0_296
    | spl0_379 ),
    inference(sat_conversion,[],[f4266]) ).

cnf(s1304,plain,
    ( ~ spl0_21
    | spl0_300
    | spl0_301
    | ~ spl0_385 ),
    inference(sat_conversion,[],[f4267]) ).

cnf(s1307,plain,
    ( ~ spl0_27
    | ~ spl0_117
    | ~ spl0_118
    | spl0_378 ),
    inference(sat_conversion,[],[f4290]) ).

cnf(s1308,plain,
    ( ~ spl0_27
    | ~ spl0_132
    | ~ spl0_134
    | spl0_342 ),
    inference(sat_conversion,[],[f4291]) ).

cnf(s1312,plain,
    ( ~ spl0_27
    | spl0_243
    | ~ spl0_244
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f4295]) ).

cnf(s1313,plain,
    ( ~ spl0_27
    | spl0_288
    | ~ spl0_289
    | ~ spl0_290 ),
    inference(sat_conversion,[],[f4296]) ).

cnf(s1316,plain,
    ( ~ spl0_32
    | ~ spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f4321]) ).

cnf(s1317,plain,
    ( ~ spl0_32
    | ~ spl0_174
    | ~ spl0_175
    | spl0_176 ),
    inference(sat_conversion,[],[f4322]) ).

cnf(s1319,plain,
    ( ~ spl0_32
    | ~ spl0_223
    | ~ spl0_224
    | spl0_371 ),
    inference(sat_conversion,[],[f4324]) ).

cnf(s1321,plain,
    ( ~ spl0_32
    | spl0_246
    | ~ spl0_247
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f4326]) ).

cnf(s1341,plain,
    ( ~ spl0_47
    | spl0_222
    | ~ spl0_223
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f4410]) ).

cnf(s1344,plain,
    ( ~ spl0_47
    | spl0_294
    | ~ spl0_296
    | ~ spl0_379 ),
    inference(sat_conversion,[],[f4413]) ).

cnf(s1346,plain,
    spl0_3,
    inference(rat,[],[s56,s176,s352,s356]) ).

cnf(s1347,plain,
    ( ~ spl0_85
    | ~ spl0_33
    | ~ spl0_21 ),
    inference(rat,[],[s1117,s1304,s317,s318]) ).

cnf(s1351,plain,
    ( ~ spl0_48
    | ~ spl0_7 ),
    inference(rat,[],[s474,s225,s226,s227]) ).

cnf(s1352,plain,
    ( ~ spl0_134
    | ~ spl0_132
    | ~ spl0_38
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(rat,[],[s1093,s1087,s1308]) ).

cnf(s1355,plain,
    ( ~ spl0_20
    | ~ spl0_14 ),
    inference(rat,[],[s824,s133,s134,s135]) ).

cnf(s1356,plain,
    ( ~ spl0_37
    | ~ spl0_12 ),
    inference(rat,[],[s558,s361,s362,s363]) ).

cnf(s1357,plain,
    ( ~ spl0_107
    | ~ spl0_12
    | ~ spl0_10 ),
    inference(rat,[],[s919,s987,s193,s194,s195]) ).

cnf(s1358,plain,
    ( ~ spl0_28
    | ~ spl0_32 ),
    inference(rat,[],[s1316,s69,s70,s71]) ).

cnf(s1359,plain,
    ( ~ spl0_43
    | ~ spl0_14 ),
    inference(rat,[],[s923,s85,s86,s87]) ).

cnf(s1360,plain,
    ( ~ spl0_44
    | ~ spl0_14 ),
    inference(rat,[],[s927,s309,s310,s311]) ).

cnf(s1361,plain,
    ( ~ spl0_55
    | ~ spl0_23 ),
    inference(rat,[],[s994,s153,s154,s155]) ).

cnf(s1364,plain,
    ( ~ spl0_15
    | ~ spl0_32 ),
    inference(rat,[],[s1321,s245,s246,s247]) ).

cnf(s1366,plain,
    ( ~ spl0_29
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s917,s1184,s74,s75]) ).

cnf(s1367,plain,
    ( ~ spl0_58
    | ~ spl0_21 ),
    inference(rat,[],[s1299,s97,s98,s99]) ).

cnf(s1368,plain,
    ( ~ spl0_57
    | ~ spl0_30 ),
    inference(rat,[],[s1025,s253,s254,s255]) ).

cnf(s1369,plain,
    ( ~ spl0_56
    | ~ spl0_7 ),
    inference(rat,[],[s877,s249,s250,s251]) ).

cnf(s1370,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s1095,s1279,s261,s262,s263,s28,s1352,s93,s95,s22,s1043,s683,s133,s134,s135,s37,s44,s935,s641,s333,s334,s335,s1357,s1347,s51,s60,s13,s1319,s1021,s1361,s49,s20,s1341,s213,s214,s215,s12,s1366,s1356,s1351,s1175,s572,s1368,s26,s1369,s1367,s1346]) ).

cnf(s1372,plain,
    ( ~ spl0_31
    | ~ spl0_47 ),
    inference(rat,[],[s1341,s213,s214,s215]) ).

cnf(s1373,plain,
    ( ~ spl0_47
    | spl0_30
    | ~ spl0_21
    | spl0_5 ),
    inference(rat,[],[s1344,s1303,s309,s311,s18,s1185,s73,s74,s75,s12,s1372,s1346]) ).

cnf(s1374,plain,
    ( ~ spl0_32
    | spl0_55 ),
    inference(rat,[],[s1317,s149,s150,s151,s25,s1364]) ).

cnf(s1375,plain,
    ( ~ spl0_21
    | ~ spl0_7
    | spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1095,s1279,s261,s262,s263,s28,s1352,s93,s95,s22,s1043,s683,s1355,s133,s134,s135,s44,s641,s333,s334,s335,s1347,s51,s13,s1374,s1361,s49,s20,s1373,s24,s1370,s572,s1175,s1368,s26,s1367,s1351,s1369,s1346]) ).

cnf(s1376,plain,
    ( ~ spl0_81
    | ~ spl0_30 ),
    inference(rat,[],[s1028,s321,s322,s323]) ).

cnf(s1377,plain,
    ( ~ spl0_80
    | ~ spl0_7 ),
    inference(rat,[],[s879,s305,s306,s307]) ).

cnf(s1379,plain,
    ( ~ spl0_89
    | ~ spl0_33
    | ~ spl0_7 ),
    inference(rat,[],[s881,s968,s325,s326,s327]) ).

cnf(s1380,plain,
    ( ~ spl0_30
    | ~ spl0_8
    | ~ spl0_7
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s630,s141,s142,s143,s47,s1379,s17,s1359,s37,s1357,s60,s13,s1358,s11,s1313,s301,s302,s303,s41,s1376,s1356,s1162,s24,s1253,s1278,s173,s174,s175,s9,s1266,s1031,s1252,s97,s98,s99,s26,s1368,s1369,s1377,s1346]) ).

cnf(s1381,plain,
    ( ~ spl0_7
    | spl0_5
    | spl0_1
    | ~ spl0_4 ),
    inference(rat,[],[s1257,s357,s358,s359,s57,s1380,s8,s1375,s1346]) ).

cnf(s1382,plain,
    ( ~ spl0_22
    | ~ spl0_16 ),
    inference(rat,[],[s1278,s173,s174,s175]) ).

cnf(s1383,plain,
    ( ~ spl0_59
    | ~ spl0_30
    | ~ spl0_11 ),
    inference(rat,[],[s1271,s838,s257,s259]) ).

cnf(s1384,plain,
    ( ~ spl0_19
    | ~ spl0_16 ),
    inference(rat,[],[s501,s205,s206,s207]) ).

cnf(s1385,plain,
    ( spl0_26
    | spl0_59
    | ~ spl0_18
    | spl0_14 ),
    inference(rat,[],[s1287,s1093,s93,s94,s27,s22,s1346]) ).

cnf(s1386,plain,
    ( spl0_379
    | spl0_294
    | ~ spl0_295
    | ~ spl0_296
    | spl0_5 ),
    inference(rat,[],[s8,s1256,s1303,s1346]) ).

cnf(s1387,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1093,s49,s1287,s1383,s93,s94,s1385,s22,s1003,s1344,s1386,s6,s1384,s9,s1382,s24,s1360,s309,s310,s311,s920,s18,s640,s868,s1045,s201,s202,s203,s2,s1381,s1346]) ).

cnf(s1388,plain,
    ( ~ spl0_88
    | ~ spl0_42 ),
    inference(rat,[],[s630,s141,s142,s143]) ).

cnf(s1389,plain,
    ( ~ spl0_7
    | ~ spl0_89
    | spl0_32 ),
    inference(rat,[],[s613,s13,s881,s1379,s327,s325,s1346]) ).

cnf(s1390,plain,
    ( ~ spl0_93
    | ~ spl0_17 ),
    inference(rat,[],[s641,s333,s334,s335]) ).

cnf(s1391,plain,
    ( spl0_32
    | spl0_93
    | spl0_88
    | spl0_20
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(rat,[],[s691,s27,s1361,s51,s1383,s7,s1389,s47,s1346]) ).

cnf(s1392,plain,
    ( ~ spl0_14
    | ~ spl0_12
    | spl0_16
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(rat,[],[s1313,s301,s302,s303,s41,s1377,s7,s1383,s11,s27,s691,s1361,s1374,s1358,s1391,s1390,s1388,s17,s1359,s1355,s935,s1376,s1346]) ).

cnf(s1393,plain,
    ( spl0_16
    | ~ spl0_30
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s60,s1364,s1357,s5,s37,s1392,s1356,s24,s1346]) ).

cnf(s1394,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | spl0_32
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(rat,[],[s556,s1023,s141,s142,s143,s1391,s1390,s935,s1355]) ).

cnf(s1395,plain,
    ( ~ spl0_58
    | spl0_12
    | ~ spl0_14
    | spl0_32 ),
    inference(rat,[],[s1144,s1110,s117,s118,s119,s4,s13,s1266,s1031,s1147,s97,s98,s99,s1346]) ).

cnf(s1396,plain,
    ( spl0_23
    | spl0_59
    | ~ spl0_5 ),
    inference(rat,[],[s27,s691,s1346]) ).

cnf(s1397,plain,
    ( ~ spl0_14
    | spl0_32
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(rat,[],[s1027,s1273,s318,s319,s44,s1390,s51,s1361,s1396,s1383,s7,s1369,s26,s1395,s1394,s1355,s1368,s1346]) ).

cnf(s1400,plain,
    ( ~ spl0_75
    | ~ spl0_33 ),
    inference(rat,[],[s1116,s297,s298,s299]) ).

cnf(s1401,plain,
    ( ~ spl0_33
    | spl0_14 ),
    inference(rat,[],[s437,s293,s294,s295,s35,s1400,s1346]) ).

cnf(s1404,plain,
    ( ~ spl0_75
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(rat,[],[s1282,s1026,s297,s298,s299]) ).

cnf(s1405,plain,
    ( spl0_32
    | ~ spl0_16
    | ~ spl0_30
    | ~ spl0_5 ),
    inference(rat,[],[s571,s570,s293,s294,s295,s35,s13,s1401,s1397,s1404,s1346]) ).

cnf(s1406,plain,
    ( ~ spl0_74
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(rat,[],[s655,s570,s293,s294,s295]) ).

cnf(s1407,plain,
    ( ~ spl0_30
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s1313,s301,s302,s303,s41,s1377,s7,s1355,s35,s1406,s1383,s11,s1396,s691,s1361,s1374,s1358,s1405,s1404,s1393,s1376,s1346]) ).

cnf(s1408,plain,
    ( ~ spl0_12
    | spl0_32
    | spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1361,s49,s51,s1372,s1390,s12,s935,s1366,s1401,s13,s572,s1346]) ).

cnf(s1409,plain,
    ( ~ spl0_59
    | ~ spl0_11
    | ~ spl0_33 ),
    inference(rat,[],[s435,s1271,s257,s258,s259]) ).

cnf(s1410,plain,
    ( ~ spl0_11
    | ~ spl0_33
    | spl0_32
    | ~ spl0_5 ),
    inference(rat,[],[s1117,s1273,s317,s318,s319,s44,s1390,s51,s1361,s1396,s1409,s1355,s1401,s1346]) ).

cnf(s1411,plain,
    ( spl0_32
    | spl0_30
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s1144,s1110,s117,s118,s119,s4,s1410,s1408,s1401,s13,s572,s1346]) ).

cnf(s1412,plain,
    ( spl0_30
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s738,s1184,s73,s74,s75,s12,s1372,s49,s1361,s1374,s1411,s1346]) ).

cnf(s1413,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1412,s1407,s1387]) ).

cnf(s1414,plain,
    ( ~ spl0_16
    | spl0_14
    | ~ spl0_30 ),
    inference(rat,[],[s35,s1406,s1404,s1346]) ).

cnf(s1415,plain,
    ( spl0_14
    | spl0_32
    | ~ spl0_30
    | spl0_1 ),
    inference(rat,[],[s60,s1357,s1356,s37,s24,s1414,s1346]) ).

cnf(s1416,plain,
    ( ~ spl0_6
    | ~ spl0_38 ),
    inference(rat,[],[s1045,s201,s202,s203]) ).

cnf(s1417,plain,
    ( ~ spl0_7
    | ~ spl0_30
    | spl0_1 ),
    inference(rat,[],[s1367,s8,s26,s1380,s1369,s1368,s1407,s1346]) ).

cnf(s1418,plain,
    ( ~ spl0_30
    | spl0_1 ),
    inference(rat,[],[s1364,s5,s1415,s1414,s1360,s18,s1416,s2,s1417,s1407,s1346]) ).

cnf(s1419,plain,
    ( ~ spl0_59
    | ~ spl0_34 ),
    inference(rat,[],[s446,s257,s258,s259]) ).

cnf(s1420,plain,
    ( ~ spl0_75
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(rat,[],[s1035,s1282,s297,s298,s299]) ).

cnf(s1421,plain,
    ( ~ spl0_16
    | ~ spl0_34
    | spl0_14 ),
    inference(rat,[],[s571,s570,s293,s294,s295,s35,s1420,s1346]) ).

cnf(s1422,plain,
    ( spl0_14
    | spl0_32
    | spl0_1 ),
    inference(rat,[],[s60,s1357,s1356,s37,s24,s1421,s13,s1401,s1346]) ).

cnf(s1423,plain,
    ( ~ spl0_68
    | ~ spl0_16
    | ~ spl0_14 ),
    inference(rat,[],[s1143,s1281,s277,s279]) ).

cnf(s1424,plain,
    ( ~ spl0_34
    | spl0_20
    | spl0_32
    | ~ spl0_5 ),
    inference(rat,[],[s1037,s317,s318,s319,s44,s1390,s51,s1361,s1396,s1419,s1346]) ).

cnf(s1425,plain,
    ( spl0_32
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s1423,s32,s17,s1388,s47,s1389,s7,s1410,s13,s1424,s1359,s1355,s1422,s1413,s1346]) ).

cnf(s1426,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s738,s1307,s73,s74,s12,s11,s1372,s691,s49,s1361,s1374,s1358,s1425,s1418,s1346]) ).

cnf(s1427,plain,
    ( spl0_32
    | spl0_1 ),
    inference(rat,[],[s1423,s32,s17,s1388,s47,s1389,s2,s1416,s18,s1360,s1359,s1422,s1413,s1426,s1346]) ).

cnf(s1428,plain,
    ( ~ spl0_47
    | spl0_5
    | spl0_30 ),
    inference(rat,[],[s1257,s357,s358,s359,s57,s8,s1373,s1346]) ).

cnf(s1429,plain,
    spl0_1,
    inference(rat,[],[s1428,s49,s1361,s1374,s1427,s1426,s1418,s1346]) ).

cnf(s1430,plain,
    spl0_245,
    inference(rat,[],[s243,s1429]) ).

cnf(s1431,plain,
    spl0_244,
    inference(rat,[],[s242,s1429]) ).

cnf(s1432,plain,
    ~ spl0_243,
    inference(rat,[],[s241,s1429]) ).

cnf(s1433,plain,
    ~ spl0_27,
    inference(rat,[],[s1312,s1430,s1431,s1432]) ).

cnf(s1437,plain,
    ( ~ spl0_71
    | ~ spl0_34 ),
    inference(rat,[],[s1104,s285,s286,s287]) ).

cnf(s1438,plain,
    ( ~ spl0_69
    | ~ spl0_34 ),
    inference(rat,[],[s447,s281,s282,s283]) ).

cnf(s1439,plain,
    ( ~ spl0_107
    | ~ spl0_70 ),
    inference(rat,[],[s1099,s193,s194,s195]) ).

cnf(s1440,plain,
    ( ~ spl0_34
    | ~ spl0_5
    | spl0_32 ),
    inference(rat,[],[s1275,s554,s361,s362,s363,s60,s1439,s1102,s33,s1438,s1437,s1346]) ).

cnf(s1441,plain,
    ( ~ spl0_5
    | spl0_32 ),
    inference(rat,[],[s1423,s32,s17,s1388,s47,s1389,s1412,s7,s1397,s1359,s1355,s1410,s1401,s13,s1440,s1346]) ).

cnf(s1447,plain,
    ( ~ spl0_98
    | ~ spl0_11 ),
    inference(rat,[],[s1268,s169,s170,s171]) ).

cnf(s1448,plain,
    ( ~ spl0_34
    | spl0_32 ),
    inference(rat,[],[s449,s337,s338,s339,s54,s1447,s643,s1275,s361,s362,s60,s1439,s1102,s33,s1438,s1437,s1346]) ).

cnf(s1449,plain,
    spl0_32,
    inference(rat,[],[s980,s534,s32,s9,s1423,s1382,s17,s1388,s141,s142,s143,s47,s1389,s2,s1416,s18,s1360,s1359,s1401,s13,s1448,s1441,s1346]) ).

cnf(s1450,plain,
    ~ spl0_28,
    inference(rat,[],[s1358,s1449]) ).

cnf(s1451,plain,
    ~ spl0_15,
    inference(rat,[],[s1364,s1449]) ).

cnf(s1452,plain,
    spl0_55,
    inference(rat,[],[s1374,s1449]) ).

cnf(s1453,plain,
    spl0_26,
    inference(rat,[],[s11,s1433,s1346,s1450]) ).

cnf(s1457,plain,
    ~ spl0_23,
    inference(rat,[],[s1361,s1452]) ).

cnf(s1458,plain,
    ~ spl0_5,
    inference(rat,[],[s691,s1453,s1457]) ).

cnf(s1467,plain,
    spl0_30,
    inference(rat,[],[s49,s1428,s1457,s1346,s1458]) ).

cnf(s1468,plain,
    ~ spl0_57,
    inference(rat,[],[s1368,s1467]) ).

cnf(s1470,plain,
    spl0_14,
    inference(rat,[],[s1414,s5,s1467,s1346,s1451]) ).

cnf(s1473,plain,
    ~ spl0_44,
    inference(rat,[],[s1360,s1470]) ).

cnf(s1475,plain,
    spl0_38,
    inference(rat,[],[s18,s1458,s1346,s1473]) ).

cnf(s1476,plain,
    ~ spl0_6,
    inference(rat,[],[s1416,s1475]) ).

cnf(s1478,plain,
    spl0_7,
    inference(rat,[],[s2,s1346,s1458,s1476]) ).

cnf(s1480,plain,
    ~ spl0_56,
    inference(rat,[],[s1369,s1478]) ).

cnf(s1482,plain,
    spl0_58,
    inference(rat,[],[s26,s1468,s1480]) ).

cnf(s1484,plain,
    ~ spl0_137,
    inference(rat,[],[s99,s1482]) ).

cnf(s1485,plain,
    ~ spl0_136,
    inference(rat,[],[s98,s1482]) ).

cnf(s1486,plain,
    spl0_135,
    inference(rat,[],[s97,s1482]) ).

cnf(s1487,plain,
    ~ spl0_21,
    inference(rat,[],[s1367,s1482]) ).

cnf(s1491,plain,
    ~ spl0_348,
    inference(rat,[],[s1147,s1486,s1470,s1484]) ).

cnf(s1492,plain,
    spl0_8,
    inference(rat,[],[s8,s1346,s1458,s1487]) ).

cnf(s1494,plain,
    ~ spl0_11,
    inference(rat,[],[s1266,s1486,s1485,s1491]) ).

cnf(s1495,plain,
    spl0_22,
    inference(rat,[],[s9,s1458,s1346,s1494]) ).

cnf(s1497,plain,
    ~ spl0_194,
    inference(rat,[],[s175,s1495]) ).

cnf(s1499,plain,
    spl0_192,
    inference(rat,[],[s173,s1495]) ).

cnf(s1506,plain,
    spl0_358,
    inference(rat,[],[s1253,s1492,s1499,s1497]) ).

cnf(s1507,plain,
    $false,
    inference(rat,[],[s1162,s1453,s1499,s1497,s1506]) ).

fof(f4415,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1507]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN457+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n009.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:06:15 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/1.17  % (3190281)Detected formulas, will run a generic FOF schedule.
% 3.70/1.17  % (3190368)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4229752259:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.70/1.17  % (3190372)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1949502894:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.70/1.17  % (3190370)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2297746981:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.70/1.17  % (3190369)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3302343482:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.70/1.17  % (3190373)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=343799100:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.70/1.17  % (3190374)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1540033290:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.70/1.17  % (3190375)dis-21_1_sil=8000:lcm=predicate:random_seed=909852304:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.70/1.17  % (3190373)Instruction limit reached! 
% 3.70/1.17  % (3190373)------------------------------
% 3.70/1.17  % (3190373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.17  % (3190373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.17  % (3190373)CaDiCaL version: 2.1.3
% 3.70/1.17  % (3190373)Termination reason: Instruction limit
% 3.70/1.17  % (3190373)Termination phase: Saturation
% 3.70/1.17  % (3190373)Time elapsed: 0.057 s
% 3.70/1.17  % (3190373)Peak memory usage: 88 MB
% 3.70/1.17  % (3190373)Instructions burned: 121 (million)
% 3.70/1.17  % (3190375)First to succeed.
% 3.70/1.17  % (3190372)Instruction limit reached! 
% 3.70/1.17  % (3190372)------------------------------
% 3.70/1.17  % (3190372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.17  % (3190372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.17  % (3190372)CaDiCaL version: 2.1.3
% 3.70/1.17  % (3190372)Termination reason: Instruction limit
% 3.70/1.17  % (3190372)Termination phase: Saturation
% 3.70/1.17  % (3190372)Time elapsed: 0.068 s
% 3.70/1.17  % (3190372)Peak memory usage: 90 MB
% 3.70/1.17  % (3190372)Instructions burned: 109 (million)
% 3.70/1.17  % (3190375)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3190281"
% 3.70/1.17  % (3190374)Instruction limit reached! 
% 3.70/1.17  % (3190374)------------------------------
% 3.70/1.17  % (3190374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.17  % (3190374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.17  % (3190374)CaDiCaL version: 2.1.3
% 3.70/1.17  % (3190374)Termination reason: Instruction limit
% 3.70/1.17  % (3190374)Termination phase: Saturation
% 3.70/1.17  % (3190374)Time elapsed: 0.088 s
% 3.70/1.17  % (3190374)Peak memory usage: 91 MB
% 3.70/1.17  % (3190374)Instructions burned: 140 (million)
% 3.70/1.17  % (3190430)lrs+10_1_sil=8000:sp=occurrence:random_seed=2174610847:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.70/1.17  % (3190431)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2298018445:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.70/1.17  % (3190432)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3078274049:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.70/1.17  % (3190431)Also succeeded, but the first one will report.
% 3.70/1.17  % (3190375)Refutation found. Thanks to Tanya!
% 3.70/1.17  % SZS status Theorem for theBenchmark
% 3.70/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.28  % (3190375)------------------------------
% 3.99/1.28  % (3190375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.28  % (3190375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.28  % (3190375)CaDiCaL version: 2.1.3
% 3.99/1.28  % (3190375)Termination reason: Refutation
% 3.99/1.28  % (3190375)Time elapsed: 0.071 s
% 3.99/1.28  % (3190375)Peak memory usage: 91 MB
% 3.99/1.28  % (3190375)Instructions burned: 120 (million)
% 3.99/1.28  % (3190375)------------------------------
% 3.99/1.28  % (3190375)------------------------------
% 3.99/1.28  % (3190281)Success in time 0.505 s
% 3.99/1.28  % Vampire exiting
%------------------------------------------------------------------------------