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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN481+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:56:04 PM UTC 2026

% Result   : Theorem 0.82s 1.00s
% Output   : Refutation 2.78s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1634)
          & c3_1(a1634)
          & ~ c1_1(a1634) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a1636)
          & ~ c1_1(a1636)
          & ~ c2_1(a1636) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a1637)
          & c3_1(a1637)
          & ~ c0_1(a1637) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c3_1(a1638)
          & ~ c0_1(a1638)
          & ~ c2_1(a1638) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a1639)
          & ~ c1_1(a1639)
          & ~ c2_1(a1639) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a1640)
          & c3_1(a1640)
          & ~ c2_1(a1640) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a1641)
          & ~ c0_1(a1641)
          & ~ c3_1(a1641) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a1642)
          & ~ c2_1(a1642)
          & ~ c3_1(a1642) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a1643)
          & ~ c2_1(a1643)
          & ~ c3_1(a1643) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a1644)
          & ~ c1_1(a1644)
          & ~ c3_1(a1644) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a1648)
          & c2_1(a1648)
          & ~ c3_1(a1648) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a1650)
          & ~ c0_1(a1650)
          & ~ c3_1(a1650) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a1653)
          & c1_1(a1653)
          & ~ c3_1(a1653) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a1658)
          & c3_1(a1658)
          & ~ c2_1(a1658) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a1661)
          & ~ c1_1(a1661)
          & ~ c3_1(a1661) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a1664)
          & ~ c1_1(a1664)
          & ~ c2_1(a1664) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a1667)
          & c2_1(a1667)
          & ~ c1_1(a1667) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a1675)
          & ~ c0_1(a1675)
          & ~ c1_1(a1675) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a1680)
          & ~ c0_1(a1680)
          & ~ c2_1(a1680) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a1682)
          & c2_1(a1682)
          & ~ c3_1(a1682) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a1689)
          & c1_1(a1689)
          & ~ c2_1(a1689) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1691)
          & c3_1(a1691)
          & ~ c1_1(a1691) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a1697)
          & ~ c2_1(a1697)
          & ~ c3_1(a1697) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c1_1(a1699)
          & ~ c2_1(a1699)
          & ~ c3_1(a1699) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a1701)
          & ~ c0_1(a1701)
          & ~ c1_1(a1701) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a1709)
          & c2_1(a1709)
          & ~ c0_1(a1709) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c2_1(a1737)
          & c3_1(a1737)
          & ~ c0_1(a1737) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1635)
          & c1_1(a1635)
          & c2_1(a1635) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a1646)
          & c2_1(a1646)
          & c3_1(a1646) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1647)
          & c1_1(a1647)
          & c3_1(a1647) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a1712)
          & c2_1(a1712)
          & c3_1(a1712) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c1_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c3_1(X4)
              | ~ c0_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp27
        | hskp1 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp2
        | hskp3 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c0_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) )
        | hskp4 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c2_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c2_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c0_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | hskp5
        | hskp6 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | hskp7
        | hskp8 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c1_1(X21)
              | ~ c2_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | ~ c0_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | ~ c2_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) )
        | hskp9 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | hskp0
        | hskp28 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c0_1(X36)
              | ~ c2_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c2_1(X38)
              | ~ c0_1(X38) ) )
        | hskp29 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | c3_1(X39) ) )
        | hskp10
        | hskp1 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | ~ c0_1(X41)
              | ~ c1_1(X41) ) )
        | hskp11 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | ~ c3_1(X43) ) )
        | hskp11 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c2_1(X45) ) )
        | hskp29 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp12 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | c3_1(X49) ) )
        | hskp3 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp7 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | hskp29
        | hskp5 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | hskp13
        | hskp11 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c0_1(X58) ) )
        | hskp11 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | hskp14 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | ~ c1_1(X63)
              | ~ c2_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | c3_1(X65) ) )
        | hskp5 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | hskp5 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | hskp15 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp0
        | hskp28 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | hskp16
        | hskp0 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp14 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | ~ c1_1(X75)
              | ~ c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp16
        | hskp10 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c2_1(X78) ) )
        | hskp2
        | hskp9 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp2 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp17 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c0_1(X83)
              | ~ c3_1(X83) ) )
        | hskp29
        | hskp12 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | hskp29
        | hskp9 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c1_1(X86)
              | ~ c2_1(X86) ) )
        | hskp18 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp28
        | hskp19 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | hskp27
        | hskp6 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | hskp7
        | hskp19 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c0_1(X90) ) )
        | hskp13
        | hskp9 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) )
        | hskp20
        | hskp28 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c1_1(X92)
              | ~ c3_1(X92) ) )
        | hskp21
        | hskp3 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | hskp28 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp8
        | hskp1 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c1_1(X96)
              | ~ c2_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | ~ c2_1(X97) ) )
        | hskp9 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | hskp22 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c1_1(X100)
              | ~ c2_1(X100) ) )
        | hskp4
        | hskp23 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp29
        | hskp24 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c1_1(X102)
              | ~ c2_1(X102) ) )
        | hskp20
        | hskp21 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | ~ c2_1(X103) ) )
        | hskp14
        | hskp22 )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp7
        | hskp11 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | hskp28
        | hskp25 )
      & ( hskp27
        | hskp20
        | hskp30 )
      & ( hskp29
        | hskp10
        | hskp6 )
      & ( hskp20
        | hskp14 )
      & ( hskp12
        | hskp5
        | hskp24 )
      & ( hskp12
        | hskp25
        | hskp24 )
      & ( hskp30
        | hskp6
        | hskp4 )
      & ( hskp10
        | hskp18
        | hskp11 )
      & ( hskp0
        | hskp5
        | hskp1 )
      & ( hskp0
        | hskp7
        | hskp8 )
      & ( hskp0
        | hskp26
        | hskp1 )
      & ( hskp15
        | hskp19
        | hskp1 )
      & ( hskp7
        | hskp6
        | hskp9 )
      & ( hskp25
        | hskp17
        | hskp1 )
      & ( hskp19
        | hskp21
        | hskp6 )
      & ( hskp11
        | hskp17
        | hskp1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1634)
            & c3_1(a1634)
            & ~ c1_1(a1634) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a1636)
            & ~ c1_1(a1636)
            & ~ c2_1(a1636) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a1637)
            & c3_1(a1637)
            & ~ c0_1(a1637) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c3_1(a1638)
            & ~ c0_1(a1638)
            & ~ c2_1(a1638) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a1639)
            & ~ c1_1(a1639)
            & ~ c2_1(a1639) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a1640)
            & c3_1(a1640)
            & ~ c2_1(a1640) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a1641)
            & ~ c0_1(a1641)
            & ~ c3_1(a1641) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a1642)
            & ~ c2_1(a1642)
            & ~ c3_1(a1642) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a1643)
            & ~ c2_1(a1643)
            & ~ c3_1(a1643) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a1644)
            & ~ c1_1(a1644)
            & ~ c3_1(a1644) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a1648)
            & c2_1(a1648)
            & ~ c3_1(a1648) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a1650)
            & ~ c0_1(a1650)
            & ~ c3_1(a1650) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a1653)
            & c1_1(a1653)
            & ~ c3_1(a1653) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a1658)
            & c3_1(a1658)
            & ~ c2_1(a1658) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a1661)
            & ~ c1_1(a1661)
            & ~ c3_1(a1661) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a1664)
            & ~ c1_1(a1664)
            & ~ c2_1(a1664) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a1667)
            & c2_1(a1667)
            & ~ c1_1(a1667) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a1675)
            & ~ c0_1(a1675)
            & ~ c1_1(a1675) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a1680)
            & ~ c0_1(a1680)
            & ~ c2_1(a1680) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a1682)
            & c2_1(a1682)
            & ~ c3_1(a1682) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a1689)
            & c1_1(a1689)
            & ~ c2_1(a1689) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1691)
            & c3_1(a1691)
            & ~ c1_1(a1691) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a1697)
            & ~ c2_1(a1697)
            & ~ c3_1(a1697) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c1_1(a1699)
            & ~ c2_1(a1699)
            & ~ c3_1(a1699) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a1701)
            & ~ c0_1(a1701)
            & ~ c1_1(a1701) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a1709)
            & c2_1(a1709)
            & ~ c0_1(a1709) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a1737)
            & c3_1(a1737)
            & ~ c0_1(a1737) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1635)
            & c1_1(a1635)
            & c2_1(a1635) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a1646)
            & c2_1(a1646)
            & c3_1(a1646) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1647)
            & c1_1(a1647)
            & c3_1(a1647) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a1712)
            & c2_1(a1712)
            & c3_1(a1712) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c3_1(X4)
                | ~ c0_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp27
          | hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp2
          | hskp3 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) )
          | hskp4 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c2_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c0_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | hskp5
          | hskp6 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | hskp7
          | hskp8 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c1_1(X21)
                | ~ c2_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | ~ c0_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | ~ c2_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp9 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp0
          | hskp28 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c0_1(X36)
                | ~ c2_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c2_1(X38)
                | ~ c0_1(X38) ) )
          | hskp29 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) )
          | hskp10
          | hskp1 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c0_1(X41)
                | ~ c1_1(X41) ) )
          | hskp11 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | ~ c3_1(X43) ) )
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c2_1(X45) ) )
          | hskp29 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp12 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | c3_1(X49) ) )
          | hskp3 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp7 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | hskp29
          | hskp5 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp13
          | hskp11 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) )
          | hskp11 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp14 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | ~ c1_1(X63)
                | ~ c2_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | c3_1(X65) ) )
          | hskp5 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | hskp5 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | hskp15 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp0
          | hskp28 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | hskp16
          | hskp0 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp14 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c1_1(X75)
                | ~ c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp16
          | hskp10 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c2_1(X78) ) )
          | hskp2
          | hskp9 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp2 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp17 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c3_1(X83) ) )
          | hskp29
          | hskp12 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | hskp29
          | hskp9 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c2_1(X86) ) )
          | hskp18 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp28
          | hskp19 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | hskp27
          | hskp6 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | hskp7
          | hskp19 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c0_1(X90) ) )
          | hskp13
          | hskp9 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) )
          | hskp20
          | hskp28 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c1_1(X92)
                | ~ c3_1(X92) ) )
          | hskp21
          | hskp3 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | hskp28 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp8
          | hskp1 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c1_1(X96)
                | ~ c2_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c2_1(X97) ) )
          | hskp9 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | hskp22 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c1_1(X100)
                | ~ c2_1(X100) ) )
          | hskp4
          | hskp23 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp29
          | hskp24 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | ~ c2_1(X102) ) )
          | hskp20
          | hskp21 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | ~ c2_1(X103) ) )
          | hskp14
          | hskp22 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp7
          | hskp11 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | hskp28
          | hskp25 )
        & ( hskp27
          | hskp20
          | hskp30 )
        & ( hskp29
          | hskp10
          | hskp6 )
        & ( hskp20
          | hskp14 )
        & ( hskp12
          | hskp5
          | hskp24 )
        & ( hskp12
          | hskp25
          | hskp24 )
        & ( hskp30
          | hskp6
          | hskp4 )
        & ( hskp10
          | hskp18
          | hskp11 )
        & ( hskp0
          | hskp5
          | hskp1 )
        & ( hskp0
          | hskp7
          | hskp8 )
        & ( hskp0
          | hskp26
          | hskp1 )
        & ( hskp15
          | hskp19
          | hskp1 )
        & ( hskp7
          | hskp6
          | hskp9 )
        & ( hskp25
          | hskp17
          | hskp1 )
        & ( hskp19
          | hskp21
          | hskp6 )
        & ( hskp11
          | hskp17
          | hskp1 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1634)
        & c3_1(a1634)
        & ~ c1_1(a1634) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a1636)
        & ~ c1_1(a1636)
        & ~ c2_1(a1636) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a1637)
        & c3_1(a1637)
        & ~ c0_1(a1637) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a1638)
        & ~ c0_1(a1638)
        & ~ c2_1(a1638) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a1639)
        & ~ c1_1(a1639)
        & ~ c2_1(a1639) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1640)
        & c3_1(a1640)
        & ~ c2_1(a1640) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a1641)
        & ~ c0_1(a1641)
        & ~ c3_1(a1641) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1642)
        & ~ c2_1(a1642)
        & ~ c3_1(a1642) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a1643)
        & ~ c2_1(a1643)
        & ~ c3_1(a1643) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a1644)
        & ~ c1_1(a1644)
        & ~ c3_1(a1644) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1648)
        & c2_1(a1648)
        & ~ c3_1(a1648) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a1650)
        & ~ c0_1(a1650)
        & ~ c3_1(a1650) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1653)
        & c1_1(a1653)
        & ~ c3_1(a1653) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1658)
        & c3_1(a1658)
        & ~ c2_1(a1658) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1661)
        & ~ c1_1(a1661)
        & ~ c3_1(a1661) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1664)
        & ~ c1_1(a1664)
        & ~ c2_1(a1664) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1667)
        & c2_1(a1667)
        & ~ c1_1(a1667) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1675)
        & ~ c0_1(a1675)
        & ~ c1_1(a1675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1680)
        & ~ c0_1(a1680)
        & ~ c2_1(a1680) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1682)
        & c2_1(a1682)
        & ~ c3_1(a1682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a1689)
        & c1_1(a1689)
        & ~ c2_1(a1689) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1691)
        & c3_1(a1691)
        & ~ c1_1(a1691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a1697)
        & ~ c2_1(a1697)
        & ~ c3_1(a1697) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c1_1(a1699)
        & ~ c2_1(a1699)
        & ~ c3_1(a1699) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1701)
        & ~ c0_1(a1701)
        & ~ c1_1(a1701) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1709)
        & c2_1(a1709)
        & ~ c0_1(a1709) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1737)
        & c3_1(a1737)
        & ~ c0_1(a1737) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1635)
        & c1_1(a1635)
        & c2_1(a1635) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a1646)
        & c2_1(a1646)
        & c3_1(a1646) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1647)
        & c1_1(a1647)
        & c3_1(a1647) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1712)
        & c2_1(a1712)
        & c3_1(a1712) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c3_1(X4)
            | ~ c0_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | hskp27
      | hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | hskp2
      | hskp3 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c0_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | ~ c0_1(X11)
            | ~ c1_1(X11) ) )
      | hskp4 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c2_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c1_1(X14)
            | ~ c2_1(X14)
            | ~ c3_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | ~ c0_1(X16)
            | ~ c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c2_1(X17)
            | ~ c3_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | hskp5
      | hskp6 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) )
      | hskp7
      | hskp8 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | ~ c1_1(X21)
            | ~ c2_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | ~ c0_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | ~ c2_1(X24)
            | ~ c3_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c1_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp9 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) )
      | hskp0
      | hskp28 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c2_1(X33)
            | ~ c3_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | ~ c0_1(X36)
            | ~ c2_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c2_1(X38)
            | ~ c0_1(X38) ) )
      | hskp29 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | c3_1(X39) ) )
      | hskp10
      | hskp1 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c0_1(X41)
            | ~ c1_1(X41) ) )
      | hskp11 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | ~ c1_1(X43)
            | ~ c3_1(X43) ) )
      | hskp11 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c0_1(X45)
            | ~ c2_1(X45) ) )
      | hskp29 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp12 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | c3_1(X49) ) )
      | hskp3 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c2_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | ~ c0_1(X52)
            | ~ c1_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | hskp7 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | hskp29
      | hskp5 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | hskp13
      | hskp11 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c0_1(X58) ) )
      | hskp11 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c3_1(X60)
            | ~ c2_1(X60) ) )
      | hskp14 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c0_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | ~ c1_1(X63)
            | ~ c2_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | c3_1(X65) ) )
      | hskp5 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | hskp5 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | hskp15 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp0
      | hskp28 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | hskp16
      | hskp0 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | hskp14 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | ~ c1_1(X75)
            | ~ c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c3_1(X77) ) )
      | hskp16
      | hskp10 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c3_1(X78)
            | ~ c2_1(X78) ) )
      | hskp2
      | hskp9 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp2 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | hskp17 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c0_1(X83)
            | ~ c3_1(X83) ) )
      | hskp29
      | hskp12 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | hskp29
      | hskp9 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c1_1(X86)
            | ~ c2_1(X86) ) )
      | hskp18 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp28
      | hskp19 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | hskp27
      | hskp6 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | hskp7
      | hskp19 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c3_1(X90)
            | ~ c0_1(X90) ) )
      | hskp13
      | hskp9 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | ~ c0_1(X91)
            | ~ c3_1(X91) ) )
      | hskp20
      | hskp28 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c1_1(X92)
            | ~ c3_1(X92) ) )
      | hskp21
      | hskp3 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | hskp28 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp8
      | hskp1 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | ~ c1_1(X96)
            | ~ c2_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c1_1(X97)
            | ~ c2_1(X97) ) )
      | hskp9 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c1_1(X98)
            | ~ c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c1_1(X99)
            | ~ c3_1(X99) ) )
      | hskp22 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c1_1(X100)
            | ~ c2_1(X100) ) )
      | hskp4
      | hskp23 )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp29
      | hskp24 )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c1_1(X102)
            | ~ c2_1(X102) ) )
      | hskp20
      | hskp21 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c1_1(X103)
            | ~ c2_1(X103) ) )
      | hskp14
      | hskp22 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp7
      | hskp11 )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | hskp28
      | hskp25 )
    & ( hskp27
      | hskp20
      | hskp30 )
    & ( hskp29
      | hskp10
      | hskp6 )
    & ( hskp20
      | hskp14 )
    & ( hskp12
      | hskp5
      | hskp24 )
    & ( hskp12
      | hskp25
      | hskp24 )
    & ( hskp30
      | hskp6
      | hskp4 )
    & ( hskp10
      | hskp18
      | hskp11 )
    & ( hskp0
      | hskp5
      | hskp1 )
    & ( hskp0
      | hskp7
      | hskp8 )
    & ( hskp0
      | hskp26
      | hskp1 )
    & ( hskp15
      | hskp19
      | hskp1 )
    & ( hskp7
      | hskp6
      | hskp9 )
    & ( hskp25
      | hskp17
      | hskp1 )
    & ( hskp19
      | hskp21
      | hskp6 )
    & ( hskp11
      | hskp17
      | hskp1 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1634)
        & c3_1(a1634)
        & ~ c1_1(a1634) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a1636)
        & ~ c1_1(a1636)
        & ~ c2_1(a1636) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a1637)
        & c3_1(a1637)
        & ~ c0_1(a1637) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a1638)
        & ~ c0_1(a1638)
        & ~ c2_1(a1638) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a1639)
        & ~ c1_1(a1639)
        & ~ c2_1(a1639) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1640)
        & c3_1(a1640)
        & ~ c2_1(a1640) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a1641)
        & ~ c0_1(a1641)
        & ~ c3_1(a1641) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1642)
        & ~ c2_1(a1642)
        & ~ c3_1(a1642) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a1643)
        & ~ c2_1(a1643)
        & ~ c3_1(a1643) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a1644)
        & ~ c1_1(a1644)
        & ~ c3_1(a1644) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1648)
        & c2_1(a1648)
        & ~ c3_1(a1648) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a1650)
        & ~ c0_1(a1650)
        & ~ c3_1(a1650) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1653)
        & c1_1(a1653)
        & ~ c3_1(a1653) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1658)
        & c3_1(a1658)
        & ~ c2_1(a1658) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1661)
        & ~ c1_1(a1661)
        & ~ c3_1(a1661) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1664)
        & ~ c1_1(a1664)
        & ~ c2_1(a1664) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1667)
        & c2_1(a1667)
        & ~ c1_1(a1667) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1675)
        & ~ c0_1(a1675)
        & ~ c1_1(a1675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1680)
        & ~ c0_1(a1680)
        & ~ c2_1(a1680) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1682)
        & c2_1(a1682)
        & ~ c3_1(a1682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a1689)
        & c1_1(a1689)
        & ~ c2_1(a1689) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1691)
        & c3_1(a1691)
        & ~ c1_1(a1691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a1697)
        & ~ c2_1(a1697)
        & ~ c3_1(a1697) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c1_1(a1699)
        & ~ c2_1(a1699)
        & ~ c3_1(a1699) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1701)
        & ~ c0_1(a1701)
        & ~ c1_1(a1701) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1709)
        & c2_1(a1709)
        & ~ c0_1(a1709) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1737)
        & c3_1(a1737)
        & ~ c0_1(a1737) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1635)
        & c1_1(a1635)
        & c2_1(a1635) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a1646)
        & c2_1(a1646)
        & c3_1(a1646) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1647)
        & c1_1(a1647)
        & c3_1(a1647) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1712)
        & c2_1(a1712)
        & c3_1(a1712) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp27
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp0
      | hskp28 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp10
      | hskp1 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp13
      | hskp11 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp0
      | hskp28 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp16
      | hskp0 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp16
      | hskp10 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp2
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp29
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp28
      | hskp19 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp7
      | hskp19 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp13
      | hskp9 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp20
      | hskp28 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c1_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp21
      | hskp3 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp8
      | hskp1 )
    & ( ! [X96] :
          ( c3_1(X96)
          | ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | hskp23 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp29
      | hskp24 )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp7
      | hskp11 )
    & ( ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp28
      | hskp25 )
    & ( hskp27
      | hskp20
      | hskp30 )
    & ( hskp29
      | hskp10
      | hskp6 )
    & ( hskp20
      | hskp14 )
    & ( hskp12
      | hskp5
      | hskp24 )
    & ( hskp12
      | hskp25
      | hskp24 )
    & ( hskp30
      | hskp6
      | hskp4 )
    & ( hskp10
      | hskp18
      | hskp11 )
    & ( hskp0
      | hskp5
      | hskp1 )
    & ( hskp0
      | hskp7
      | hskp8 )
    & ( hskp0
      | hskp26
      | hskp1 )
    & ( hskp15
      | hskp19
      | hskp1 )
    & ( hskp7
      | hskp6
      | hskp9 )
    & ( hskp25
      | hskp17
      | hskp1 )
    & ( hskp19
      | hskp21
      | hskp6 )
    & ( hskp11
      | hskp17
      | hskp1 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1634)
        & c3_1(a1634)
        & ~ c1_1(a1634) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a1636)
        & ~ c1_1(a1636)
        & ~ c2_1(a1636) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a1637)
        & c3_1(a1637)
        & ~ c0_1(a1637) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a1638)
        & ~ c0_1(a1638)
        & ~ c2_1(a1638) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a1639)
        & ~ c1_1(a1639)
        & ~ c2_1(a1639) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1640)
        & c3_1(a1640)
        & ~ c2_1(a1640) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a1641)
        & ~ c0_1(a1641)
        & ~ c3_1(a1641) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1642)
        & ~ c2_1(a1642)
        & ~ c3_1(a1642) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a1643)
        & ~ c2_1(a1643)
        & ~ c3_1(a1643) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a1644)
        & ~ c1_1(a1644)
        & ~ c3_1(a1644) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1648)
        & c2_1(a1648)
        & ~ c3_1(a1648) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a1650)
        & ~ c0_1(a1650)
        & ~ c3_1(a1650) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1653)
        & c1_1(a1653)
        & ~ c3_1(a1653) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1658)
        & c3_1(a1658)
        & ~ c2_1(a1658) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1661)
        & ~ c1_1(a1661)
        & ~ c3_1(a1661) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1664)
        & ~ c1_1(a1664)
        & ~ c2_1(a1664) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1667)
        & c2_1(a1667)
        & ~ c1_1(a1667) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1675)
        & ~ c0_1(a1675)
        & ~ c1_1(a1675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1680)
        & ~ c0_1(a1680)
        & ~ c2_1(a1680) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1682)
        & c2_1(a1682)
        & ~ c3_1(a1682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a1689)
        & c1_1(a1689)
        & ~ c2_1(a1689) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1691)
        & c3_1(a1691)
        & ~ c1_1(a1691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a1697)
        & ~ c2_1(a1697)
        & ~ c3_1(a1697) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c1_1(a1699)
        & ~ c2_1(a1699)
        & ~ c3_1(a1699) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1701)
        & ~ c0_1(a1701)
        & ~ c1_1(a1701) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1709)
        & c2_1(a1709)
        & ~ c0_1(a1709) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1737)
        & c3_1(a1737)
        & ~ c0_1(a1737) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1635)
        & c1_1(a1635)
        & c2_1(a1635) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a1646)
        & c2_1(a1646)
        & c3_1(a1646) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1647)
        & c1_1(a1647)
        & c3_1(a1647) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1712)
        & c2_1(a1712)
        & c3_1(a1712) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp27
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp0
      | hskp28 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp10
      | hskp1 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp13
      | hskp11 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp0
      | hskp28 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp16
      | hskp0 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp16
      | hskp10 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp2
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp29
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp28
      | hskp19 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp7
      | hskp19 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp13
      | hskp9 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp20
      | hskp28 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c1_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp21
      | hskp3 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp8
      | hskp1 )
    & ( ! [X96] :
          ( c3_1(X96)
          | ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | hskp23 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp29
      | hskp24 )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp7
      | hskp11 )
    & ( ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp28
      | hskp25 )
    & ( hskp27
      | hskp20
      | hskp30 )
    & ( hskp29
      | hskp10
      | hskp6 )
    & ( hskp20
      | hskp14 )
    & ( hskp12
      | hskp5
      | hskp24 )
    & ( hskp12
      | hskp25
      | hskp24 )
    & ( hskp30
      | hskp6
      | hskp4 )
    & ( hskp10
      | hskp18
      | hskp11 )
    & ( hskp0
      | hskp5
      | hskp1 )
    & ( hskp0
      | hskp7
      | hskp8 )
    & ( hskp0
      | hskp26
      | hskp1 )
    & ( hskp15
      | hskp19
      | hskp1 )
    & ( hskp7
      | hskp6
      | hskp9 )
    & ( hskp25
      | hskp17
      | hskp1 )
    & ( hskp19
      | hskp21
      | hskp6 )
    & ( hskp11
      | hskp17
      | hskp1 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp11
    | hskp17
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp25
    | hskp17
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp15
    | hskp19
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp0
    | hskp26
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp0
    | hskp7
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp0
    | hskp5
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp10
    | hskp18
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ( hskp12
    | hskp25
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ( hskp20
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X105] :
      ( ~ c1_1(X105)
      | ~ c2_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp28
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X104] :
      ( ~ c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp7
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X103] :
      ( ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X102] :
      ( ~ c0_1(X102)
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X101] :
      ( ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | hskp29
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X100] :
      ( c3_1(X100)
      | ~ c1_1(X100)
      | ~ c2_1(X100)
      | ~ ndr1_0
      | hskp4
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X98,X99] :
      ( c3_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X95] :
      ( c3_1(X95)
      | ~ c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp8
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X94,X93] :
      ( c3_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X91] :
      ( c2_1(X91)
      | ~ c0_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp20
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X89] :
      ( c2_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | hskp7
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X88] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | hskp27
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X87] :
      ( c1_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp28
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X82,X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c2_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | hskp16
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | hskp16
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X62,X63,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X56] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | hskp13
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X55] :
      ( c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | hskp29
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X50,X51,X52] :
      ( c0_1(X50)
      | c3_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c2_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | c3_1(X39)
      | ~ ndr1_0
      | hskp10
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c2_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | c3_1(X36)
      | ~ c0_1(X36)
      | ~ c2_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | hskp0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | ~ c0_1(X24)
      | ~ c2_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X16,X17,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X6] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | hskp27
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | c3_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a1647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c1_1(a1647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c0_1(a1647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c3_1(a1646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c2_1(a1646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c1_1(a1646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c2_1(a1635) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c1_1(a1635) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | c0_1(a1635) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | ~ c0_1(a1737) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | c3_1(a1737) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | c2_1(a1737) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c0_1(a1709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | c2_1(a1709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c1_1(a1709) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f106,plain,
    ( ~ hskp24
    | ~ c1_1(a1701) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | ~ c0_1(a1701) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c3_1(a1701) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp23
    | ~ c2_1(a1699) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp23
    | ~ c1_1(a1699) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c3_1(a1697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | ~ c2_1(a1697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | ~ c0_1(a1697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c1_1(a1691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | c3_1(a1691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c2_1(a1691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp20
    | c1_1(a1689) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp20
    | c0_1(a1689) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c3_1(a1682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | c2_1(a1682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | c1_1(a1682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c2_1(a1680) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | ~ c0_1(a1680) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c1_1(a1680) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c1_1(a1675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | ~ c0_1(a1675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | c2_1(a1675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c1_1(a1667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | c2_1(a1667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | c0_1(a1667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c2_1(a1664) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | ~ c1_1(a1664) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c0_1(a1664) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c3_1(a1661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | ~ c1_1(a1661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c0_1(a1661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c2_1(a1658) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c1_1(a1658) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c3_1(a1653) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | c1_1(a1653) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c0_1(a1653) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c3_1(a1650) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | ~ c0_1(a1650) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c1_1(a1650) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c3_1(a1648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | c2_1(a1648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c0_1(a1648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c3_1(a1643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | ~ c2_1(a1643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c1_1(a1643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c3_1(a1642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | ~ c2_1(a1642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c0_1(a1642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp6
    | ~ c3_1(a1641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp6
    | ~ c0_1(a1641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp6
    | c2_1(a1641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c2_1(a1640) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | c3_1(a1640) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c0_1(a1640) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c2_1(a1639) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | ~ c1_1(a1639) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | c3_1(a1639) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c2_1(a1638) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | ~ c0_1(a1638) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | c3_1(a1638) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c0_1(a1637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | c3_1(a1637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c1_1(a1637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c2_1(a1636) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | ~ c1_1(a1636) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | ~ c0_1(a1636) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c1_1(a1634) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | c3_1(a1634) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c0_1(a1634) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ! [X2] :
      ( c0_1(X2)
      | c2_1(X2)
      | ~ c1_1(X2)
      | sP0 ),
    inference(cnf_transformation,[],[f206_D]) ).

fof(f206_D,definition,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) )
  <=> ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[general_splitting_component_introduction]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0 ),
    inference(general_splitting,[],[f81,f206_D]) ).

fof(f208,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | sP1 ),
    inference(cnf_transformation,[],[f208_D]) ).

fof(f208_D,definition,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[general_splitting_component_introduction]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f207,f208_D]) ).

fof(f210,plain,
    ! [X3] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | sP2 ),
    inference(cnf_transformation,[],[f210_D]) ).

fof(f210_D,definition,
    ( ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c2_1(X3) )
  <=> ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[general_splitting_component_introduction]) ).

fof(f211,plain,
    ! [X4] :
      ( ~ ndr1_0
      | c2_1(X4)
      | c3_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | hskp0
      | ~ sP2 ),
    inference(general_splitting,[],[f80,f210_D]) ).

fof(f212,plain,
    ! [X8] :
      ( c1_1(X8)
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | sP3 ),
    inference(cnf_transformation,[],[f212_D]) ).

fof(f212_D,definition,
    ( ! [X8] :
        ( c1_1(X8)
        | ~ c0_1(X8)
        | ~ c3_1(X8) )
  <=> ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[general_splitting_component_introduction]) ).

fof(f213,plain,
    ! [X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | ~ sP3 ),
    inference(general_splitting,[],[f77,f212_D]) ).

fof(f214,plain,
    ! [X9] :
      ( c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | sP4 ),
    inference(cnf_transformation,[],[f214_D]) ).

fof(f214_D,definition,
    ( ! [X9] :
        ( c3_1(X9)
        | ~ c1_1(X9)
        | ~ c2_1(X9) )
  <=> ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[general_splitting_component_introduction]) ).

fof(f215,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP3
      | ~ sP4 ),
    inference(general_splitting,[],[f213,f214_D]) ).

fof(f216,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | sP5 ),
    inference(cnf_transformation,[],[f216_D]) ).

fof(f216_D,definition,
    ( ! [X10] :
        ( c0_1(X10)
        | c1_1(X10)
        | c3_1(X10) )
  <=> ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[general_splitting_component_introduction]) ).

fof(f217,plain,
    ! [X11] :
      ( ~ ndr1_0
      | c2_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | hskp4
      | ~ sP5 ),
    inference(general_splitting,[],[f76,f216_D]) ).

fof(f218,plain,
    ! [X14] :
      ( c1_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | sP6 ),
    inference(cnf_transformation,[],[f218_D]) ).

fof(f218_D,definition,
    ( ! [X14] :
        ( c1_1(X14)
        | ~ c2_1(X14)
        | ~ c3_1(X14) )
  <=> ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[general_splitting_component_introduction]) ).

fof(f219,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP6 ),
    inference(general_splitting,[],[f75,f218_D]) ).

fof(f220,plain,
    ! [X12] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | sP7 ),
    inference(cnf_transformation,[],[f220_D]) ).

fof(f220_D,definition,
    ( ! [X12] :
        ( c0_1(X12)
        | c1_1(X12)
        | ~ c2_1(X12) )
  <=> ~ sP7 ),
    introduced(definition,[new_symbols(definition,[sP7])],[general_splitting_component_introduction]) ).

fof(f221,plain,
    ! [X13] :
      ( ~ ndr1_0
      | c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP6
      | ~ sP7 ),
    inference(general_splitting,[],[f219,f220_D]) ).

fof(f222,plain,
    ! [X16] :
      ( c3_1(X16)
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | sP8 ),
    inference(cnf_transformation,[],[f222_D]) ).

fof(f222_D,definition,
    ( ! [X16] :
        ( c3_1(X16)
        | ~ c0_1(X16)
        | ~ c1_1(X16) )
  <=> ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[general_splitting_component_introduction]) ).

fof(f223,plain,
    ! [X17,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | ~ sP8 ),
    inference(general_splitting,[],[f74,f222_D]) ).

fof(f224,plain,
    ! [X17] :
      ( ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | sP9 ),
    inference(cnf_transformation,[],[f224_D]) ).

fof(f224_D,definition,
    ( ! [X17] :
        ( ~ c0_1(X17)
        | ~ c2_1(X17)
        | ~ c3_1(X17) )
  <=> ~ sP9 ),
    introduced(definition,[new_symbols(definition,[sP9])],[general_splitting_component_introduction]) ).

fof(f225,plain,
    ! [X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP8
      | ~ sP9 ),
    inference(general_splitting,[],[f223,f224_D]) ).

fof(f226,plain,
    ! [X21] :
      ( c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | sP10 ),
    inference(cnf_transformation,[],[f226_D]) ).

fof(f226_D,definition,
    ( ! [X21] :
        ( c0_1(X21)
        | ~ c1_1(X21)
        | ~ c2_1(X21) )
  <=> ~ sP10 ),
    introduced(definition,[new_symbols(definition,[sP10])],[general_splitting_component_introduction]) ).

fof(f227,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP10 ),
    inference(general_splitting,[],[f71,f226_D]) ).

fof(f228,plain,
    ! [X24] :
      ( ~ c0_1(X24)
      | ~ c2_1(X24)
      | ~ c3_1(X24)
      | sP11 ),
    inference(cnf_transformation,[],[f228_D]) ).

fof(f228_D,definition,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | ~ c2_1(X24)
        | ~ c3_1(X24) )
  <=> ~ sP11 ),
    introduced(definition,[new_symbols(definition,[sP11])],[general_splitting_component_introduction]) ).

fof(f229,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP11 ),
    inference(general_splitting,[],[f70,f228_D]) ).

fof(f230,plain,
    ! [X22] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | sP12 ),
    inference(cnf_transformation,[],[f230_D]) ).

fof(f230_D,definition,
    ( ! [X22] :
        ( c0_1(X22)
        | c1_1(X22)
        | ~ c3_1(X22) )
  <=> ~ sP12 ),
    introduced(definition,[new_symbols(definition,[sP12])],[general_splitting_component_introduction]) ).

fof(f231,plain,
    ! [X23] :
      ( ~ ndr1_0
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP11
      | ~ sP12 ),
    inference(general_splitting,[],[f229,f230_D]) ).

fof(f232,plain,
    ! [X26] :
      ( c3_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | sP13 ),
    inference(cnf_transformation,[],[f232_D]) ).

fof(f232_D,definition,
    ( ! [X26] :
        ( c3_1(X26)
        | ~ c1_1(X26)
        | ~ c2_1(X26) )
  <=> ~ sP13 ),
    introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).

fof(f233,plain,
    ! [X27,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | ~ sP13 ),
    inference(general_splitting,[],[f69,f232_D]) ).

fof(f234,plain,
    ! [X27] :
      ( ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | sP14 ),
    inference(cnf_transformation,[],[f234_D]) ).

fof(f234_D,definition,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c1_1(X27)
        | ~ c2_1(X27) )
  <=> ~ sP14 ),
    introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).

fof(f235,plain,
    ! [X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP13
      | ~ sP14 ),
    inference(general_splitting,[],[f233,f234_D]) ).

fof(f242,plain,
    ! [X36] :
      ( c3_1(X36)
      | ~ c0_1(X36)
      | ~ c2_1(X36)
      | sP18 ),
    inference(cnf_transformation,[],[f242_D]) ).

fof(f242_D,definition,
    ( ! [X36] :
        ( c3_1(X36)
        | ~ c0_1(X36)
        | ~ c2_1(X36) )
  <=> ~ sP18 ),
    introduced(definition,[new_symbols(definition,[sP18])],[general_splitting_component_introduction]) ).

fof(f243,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18 ),
    inference(general_splitting,[],[f65,f242_D]) ).

fof(f244,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | sP19 ),
    inference(cnf_transformation,[],[f244_D]) ).

fof(f244_D,definition,
    ( ! [X34] :
        ( c0_1(X34)
        | c2_1(X34)
        | c3_1(X34) )
  <=> ~ sP19 ),
    introduced(definition,[new_symbols(definition,[sP19])],[general_splitting_component_introduction]) ).

fof(f245,plain,
    ! [X35] :
      ( ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18
      | ~ sP19 ),
    inference(general_splitting,[],[f243,f244_D]) ).

fof(f246,plain,
    ! [X38] :
      ( c1_1(X38)
      | c2_1(X38)
      | ~ c0_1(X38)
      | sP20 ),
    inference(cnf_transformation,[],[f246_D]) ).

fof(f246_D,definition,
    ( ! [X38] :
        ( c1_1(X38)
        | c2_1(X38)
        | ~ c0_1(X38) )
  <=> ~ sP20 ),
    introduced(definition,[new_symbols(definition,[sP20])],[general_splitting_component_introduction]) ).

fof(f247,plain,
    ! [X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp29
      | ~ sP20 ),
    inference(general_splitting,[],[f64,f246_D]) ).

fof(f250,plain,
    ! [X42] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | sP22 ),
    inference(cnf_transformation,[],[f250_D]) ).

fof(f250_D,definition,
    ( ! [X42] :
        ( c0_1(X42)
        | c2_1(X42)
        | ~ c3_1(X42) )
  <=> ~ sP22 ),
    introduced(definition,[new_symbols(definition,[sP22])],[general_splitting_component_introduction]) ).

fof(f251,plain,
    ! [X43] :
      ( ~ ndr1_0
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | hskp11
      | ~ sP22 ),
    inference(general_splitting,[],[f61,f250_D]) ).

fof(f252,plain,
    ! [X44] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | sP23 ),
    inference(cnf_transformation,[],[f252_D]) ).

fof(f252_D,definition,
    ( ! [X44] :
        ( c0_1(X44)
        | c2_1(X44)
        | ~ c3_1(X44) )
  <=> ~ sP23 ),
    introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).

fof(f253,plain,
    ! [X45] :
      ( ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | hskp29
      | ~ sP23 ),
    inference(general_splitting,[],[f60,f252_D]) ).

fof(f254,plain,
    ! [X46] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | sP24 ),
    inference(cnf_transformation,[],[f254_D]) ).

fof(f254_D,definition,
    ( ! [X46] :
        ( c0_1(X46)
        | c2_1(X46)
        | ~ c3_1(X46) )
  <=> ~ sP24 ),
    introduced(definition,[new_symbols(definition,[sP24])],[general_splitting_component_introduction]) ).

fof(f255,plain,
    ! [X47] :
      ( ~ ndr1_0
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12
      | ~ sP24 ),
    inference(general_splitting,[],[f59,f254_D]) ).

fof(f256,plain,
    ! [X48] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | sP25 ),
    inference(cnf_transformation,[],[f256_D]) ).

fof(f256_D,definition,
    ( ! [X48] :
        ( c0_1(X48)
        | c3_1(X48)
        | ~ c1_1(X48) )
  <=> ~ sP25 ),
    introduced(definition,[new_symbols(definition,[sP25])],[general_splitting_component_introduction]) ).

fof(f257,plain,
    ! [X49] :
      ( ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | hskp3
      | ~ sP25 ),
    inference(general_splitting,[],[f58,f256_D]) ).

fof(f258,plain,
    ! [X50] :
      ( c0_1(X50)
      | c3_1(X50)
      | ~ c1_1(X50)
      | sP26 ),
    inference(cnf_transformation,[],[f258_D]) ).

fof(f258_D,definition,
    ( ! [X50] :
        ( c0_1(X50)
        | c3_1(X50)
        | ~ c1_1(X50) )
  <=> ~ sP26 ),
    introduced(definition,[new_symbols(definition,[sP26])],[general_splitting_component_introduction]) ).

fof(f259,plain,
    ! [X51,X52] :
      ( ~ ndr1_0
      | c1_1(X51)
      | c2_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | ~ sP26 ),
    inference(general_splitting,[],[f57,f258_D]) ).

fof(f260,plain,
    ! [X51] :
      ( c1_1(X51)
      | c2_1(X51)
      | ~ c0_1(X51)
      | sP27 ),
    inference(cnf_transformation,[],[f260_D]) ).

fof(f260_D,definition,
    ( ! [X51] :
        ( c1_1(X51)
        | c2_1(X51)
        | ~ c0_1(X51) )
  <=> ~ sP27 ),
    introduced(definition,[new_symbols(definition,[sP27])],[general_splitting_component_introduction]) ).

fof(f261,plain,
    ! [X52] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | ~ sP26
      | ~ sP27 ),
    inference(general_splitting,[],[f259,f260_D]) ).

fof(f264,plain,
    ! [X58] :
      ( c1_1(X58)
      | c2_1(X58)
      | ~ c0_1(X58)
      | sP29 ),
    inference(cnf_transformation,[],[f264_D]) ).

fof(f264_D,definition,
    ( ! [X58] :
        ( c1_1(X58)
        | c2_1(X58)
        | ~ c0_1(X58) )
  <=> ~ sP29 ),
    introduced(definition,[new_symbols(definition,[sP29])],[general_splitting_component_introduction]) ).

fof(f265,plain,
    ! [X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp11
      | ~ sP29 ),
    inference(general_splitting,[],[f53,f264_D]) ).

fof(f268,plain,
    ! [X62] :
      ( c1_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | sP31 ),
    inference(cnf_transformation,[],[f268_D]) ).

fof(f268_D,definition,
    ( ! [X62] :
        ( c1_1(X62)
        | ~ c0_1(X62)
        | ~ c3_1(X62) )
  <=> ~ sP31 ),
    introduced(definition,[new_symbols(definition,[sP31])],[general_splitting_component_introduction]) ).

fof(f269,plain,
    ! [X63,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | ~ sP31 ),
    inference(general_splitting,[],[f51,f268_D]) ).

fof(f270,plain,
    ! [X63] :
      ( c3_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | sP32 ),
    inference(cnf_transformation,[],[f270_D]) ).

fof(f270_D,definition,
    ( ! [X63] :
        ( c3_1(X63)
        | ~ c1_1(X63)
        | ~ c2_1(X63) )
  <=> ~ sP32 ),
    introduced(definition,[new_symbols(definition,[sP32])],[general_splitting_component_introduction]) ).

fof(f271,plain,
    ! [X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP31
      | ~ sP32 ),
    inference(general_splitting,[],[f269,f270_D]) ).

fof(f276,plain,
    ! [X68] :
      ( c0_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | sP35 ),
    inference(cnf_transformation,[],[f276_D]) ).

fof(f276_D,definition,
    ( ! [X68] :
        ( c0_1(X68)
        | ~ c2_1(X68)
        | ~ c3_1(X68) )
  <=> ~ sP35 ),
    introduced(definition,[new_symbols(definition,[sP35])],[general_splitting_component_introduction]) ).

fof(f277,plain,
    ! [X69] :
      ( ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | hskp15
      | ~ sP35 ),
    inference(general_splitting,[],[f48,f276_D]) ).

fof(f278,plain,
    ! [X72] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c3_1(X72)
      | sP36 ),
    inference(cnf_transformation,[],[f278_D]) ).

fof(f278_D,definition,
    ( ! [X72] :
        ( c1_1(X72)
        | c2_1(X72)
        | ~ c3_1(X72) )
  <=> ~ sP36 ),
    introduced(definition,[new_symbols(definition,[sP36])],[general_splitting_component_introduction]) ).

fof(f279,plain,
    ! [X73] :
      ( ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | hskp14
      | ~ sP36 ),
    inference(general_splitting,[],[f45,f278_D]) ).

fof(f280,plain,
    ! [X76] :
      ( ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | sP37 ),
    inference(cnf_transformation,[],[f280_D]) ).

fof(f280_D,definition,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c1_1(X76)
        | ~ c3_1(X76) )
  <=> ~ sP37 ),
    introduced(definition,[new_symbols(definition,[sP37])],[general_splitting_component_introduction]) ).

fof(f281,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP37 ),
    inference(general_splitting,[],[f44,f280_D]) ).

fof(f282,plain,
    ! [X74] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c3_1(X74)
      | sP38 ),
    inference(cnf_transformation,[],[f282_D]) ).

fof(f282_D,definition,
    ( ! [X74] :
        ( c1_1(X74)
        | c2_1(X74)
        | ~ c3_1(X74) )
  <=> ~ sP38 ),
    introduced(definition,[new_symbols(definition,[sP38])],[general_splitting_component_introduction]) ).

fof(f283,plain,
    ! [X75] :
      ( ~ ndr1_0
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP37
      | ~ sP38 ),
    inference(general_splitting,[],[f281,f282_D]) ).

fof(f284,plain,
    ! [X80] :
      ( c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | sP39 ),
    inference(cnf_transformation,[],[f284_D]) ).

fof(f284_D,definition,
    ( ! [X80] :
        ( c2_1(X80)
        | ~ c0_1(X80)
        | ~ c3_1(X80) )
  <=> ~ sP39 ),
    introduced(definition,[new_symbols(definition,[sP39])],[general_splitting_component_introduction]) ).

fof(f285,plain,
    ! [X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp2
      | ~ sP39 ),
    inference(general_splitting,[],[f41,f284_D]) ).

fof(f286,plain,
    ! [X82] :
      ( c2_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | sP40 ),
    inference(cnf_transformation,[],[f286_D]) ).

fof(f286_D,definition,
    ( ! [X82] :
        ( c2_1(X82)
        | ~ c0_1(X82)
        | ~ c3_1(X82) )
  <=> ~ sP40 ),
    introduced(definition,[new_symbols(definition,[sP40])],[general_splitting_component_introduction]) ).

fof(f287,plain,
    ! [X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp17
      | ~ sP40 ),
    inference(general_splitting,[],[f40,f286_D]) ).

fof(f288,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | sP41 ),
    inference(cnf_transformation,[],[f288_D]) ).

fof(f288_D,definition,
    ( ! [X86] :
        ( c3_1(X86)
        | ~ c1_1(X86)
        | ~ c2_1(X86) )
  <=> ~ sP41 ),
    introduced(definition,[new_symbols(definition,[sP41])],[general_splitting_component_introduction]) ).

fof(f289,plain,
    ! [X85] :
      ( c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp18
      | ~ sP41 ),
    inference(general_splitting,[],[f37,f288_D]) ).

fof(f290,plain,
    ! [X94] :
      ( ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | sP42 ),
    inference(cnf_transformation,[],[f290_D]) ).

fof(f290_D,definition,
    ( ! [X94] :
        ( ~ c0_1(X94)
        | ~ c1_1(X94)
        | ~ c2_1(X94) )
  <=> ~ sP42 ),
    introduced(definition,[new_symbols(definition,[sP42])],[general_splitting_component_introduction]) ).

fof(f291,plain,
    ! [X93] :
      ( c3_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp28
      | ~ sP42 ),
    inference(general_splitting,[],[f30,f290_D]) ).

fof(f294,plain,
    ! [X98] :
      ( c3_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | sP44 ),
    inference(cnf_transformation,[],[f294_D]) ).

fof(f294_D,definition,
    ( ! [X98] :
        ( c3_1(X98)
        | ~ c1_1(X98)
        | ~ c2_1(X98) )
  <=> ~ sP44 ),
    introduced(definition,[new_symbols(definition,[sP44])],[general_splitting_component_introduction]) ).

fof(f295,plain,
    ! [X99] :
      ( ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp22
      | ~ sP44 ),
    inference(general_splitting,[],[f27,f294_D]) ).

fof(f296,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ sP0
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f297,plain,
    ! [X4] :
      ( ~ ndr1_0
      | c2_1(X4)
      | c3_1(X4)
      | ~ c0_1(X4)
      | hskp0
      | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f298,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | ~ sP3
      | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f299,plain,
    ! [X11] :
      ( ~ ndr1_0
      | c2_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | hskp4
      | ~ sP5 ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f300,plain,
    ! [X13] :
      ( ~ ndr1_0
      | c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ sP6
      | ~ sP7 ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f301,plain,
    ! [X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ sP8
      | ~ sP9 ),
    inference(duplicate_literal_removal,[],[f225]) ).

fof(f302,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ sP10 ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f303,plain,
    ! [X23] :
      ( ~ ndr1_0
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ sP11
      | ~ sP12 ),
    inference(duplicate_literal_removal,[],[f231]) ).

fof(f304,plain,
    ! [X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ sP13
      | ~ sP14 ),
    inference(duplicate_literal_removal,[],[f235]) ).

fof(f307,plain,
    ! [X35] :
      ( ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ sP18
      | ~ sP19 ),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f308,plain,
    ! [X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | hskp29
      | ~ sP20 ),
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f310,plain,
    ! [X43] :
      ( ~ ndr1_0
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | hskp11
      | ~ sP22 ),
    inference(duplicate_literal_removal,[],[f251]) ).

fof(f311,plain,
    ! [X45] :
      ( ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | hskp29
      | ~ sP23 ),
    inference(duplicate_literal_removal,[],[f253]) ).

fof(f312,plain,
    ! [X47] :
      ( ~ ndr1_0
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | hskp12
      | ~ sP24 ),
    inference(duplicate_literal_removal,[],[f255]) ).

fof(f313,plain,
    ! [X49] :
      ( ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | c3_1(X49)
      | hskp3
      | ~ sP25 ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f314,plain,
    ! [X52] :
      ( ~ ndr1_0
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ sP26
      | ~ sP27 ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f316,plain,
    ! [X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp11
      | ~ sP29 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f318,plain,
    ! [X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ sP31
      | ~ sP32 ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f321,plain,
    ! [X69] :
      ( ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | hskp15
      | ~ sP35 ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f322,plain,
    ! [X73] :
      ( ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | hskp14
      | ~ sP36 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f323,plain,
    ! [X75] :
      ( ~ ndr1_0
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ sP37
      | ~ sP38 ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f324,plain,
    ! [X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | hskp2
      | ~ sP39 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f325,plain,
    ! [X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp17
      | ~ sP40 ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f326,plain,
    ! [X85] :
      ( c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp18
      | ~ sP41 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f327,plain,
    ! [X93] :
      ( c3_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | hskp28
      | ~ sP42 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f329,plain,
    ! [X99] :
      ( ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | hskp22
      | ~ sP44 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f331,definition,
    ( spl45_1
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition]) ).

fof(f335,definition,
    ( spl45_2
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition]) ).

fof(f339,definition,
    ( spl45_3
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl45_3])],[avatar_definition]) ).

fof(f342,plain,
    ( spl45_1
    | spl45_2
    | spl45_3 ),
    inference(avatar_split_clause,[],[f6,f339,f335,f331]) ).

fof(f344,definition,
    ( spl45_4
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl45_4])],[avatar_definition]) ).

fof(f348,definition,
    ( spl45_5
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl45_5])],[avatar_definition]) ).

fof(f352,definition,
    ( spl45_6
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl45_6])],[avatar_definition]) ).

fof(f357,definition,
    ( spl45_7
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl45_7])],[avatar_definition]) ).

fof(f360,plain,
    ( spl45_1
    | spl45_2
    | spl45_7 ),
    inference(avatar_split_clause,[],[f8,f357,f335,f331]) ).

fof(f366,definition,
    ( spl45_9
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl45_9])],[avatar_definition]) ).

fof(f371,definition,
    ( spl45_10
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl45_10])],[avatar_definition]) ).

fof(f374,plain,
    ( spl45_1
    | spl45_6
    | spl45_10 ),
    inference(avatar_split_clause,[],[f10,f371,f352,f331]) ).

fof(f376,definition,
    ( spl45_11
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl45_11])],[avatar_definition]) ).

fof(f380,definition,
    ( spl45_12
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl45_12])],[avatar_definition]) ).

fof(f383,plain,
    ( spl45_1
    | spl45_11
    | spl45_12 ),
    inference(avatar_split_clause,[],[f11,f380,f376,f331]) ).

fof(f385,definition,
    ( spl45_13
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl45_13])],[avatar_definition]) ).

fof(f388,plain,
    ( spl45_13
    | spl45_9
    | spl45_12 ),
    inference(avatar_split_clause,[],[f12,f380,f366,f385]) ).

fof(f390,definition,
    ( spl45_14
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl45_14])],[avatar_definition]) ).

fof(f393,plain,
    ( spl45_1
    | spl45_14
    | spl45_12 ),
    inference(avatar_split_clause,[],[f13,f380,f390,f331]) ).

fof(f395,definition,
    ( spl45_15
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl45_15])],[avatar_definition]) ).

fof(f399,definition,
    ( spl45_16
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl45_16])],[avatar_definition]) ).

fof(f402,plain,
    ( spl45_3
    | spl45_15
    | spl45_16 ),
    inference(avatar_split_clause,[],[f14,f399,f395,f339]) ).

fof(f404,definition,
    ( spl45_17
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl45_17])],[avatar_definition]) ).

fof(f413,definition,
    ( spl45_19
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl45_19])],[avatar_definition]) ).

fof(f417,definition,
    ( spl45_20
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl45_20])],[avatar_definition]) ).

fof(f420,plain,
    ( spl45_19
    | spl45_7
    | spl45_20 ),
    inference(avatar_split_clause,[],[f16,f417,f357,f413]) ).

fof(f423,definition,
    ( spl45_21
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl45_21])],[avatar_definition]) ).

fof(f427,definition,
    ( spl45_22
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl45_22])],[avatar_definition]) ).

fof(f430,plain,
    ( spl45_21
    | spl45_22 ),
    inference(avatar_split_clause,[],[f18,f427,f423]) ).

fof(f432,definition,
    ( spl45_23
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl45_23])],[avatar_definition]) ).

fof(f437,definition,
    ( spl45_24
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl45_24])],[avatar_definition]) ).

fof(f442,definition,
    ( spl45_25
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl45_25])],[avatar_definition]) ).

fof(f446,definition,
    ( spl45_26
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl45_26])],[avatar_definition]) ).

fof(f450,definition,
    ( spl45_27
  <=> ! [X105] :
        ( ~ c1_1(X105)
        | ~ c3_1(X105)
        | ~ c2_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl45_27])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X105] :
        ( ~ c1_1(X105)
        | ~ c3_1(X105)
        | ~ c2_1(X105) )
    | ~ spl45_27 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f452,plain,
    ( spl45_7
    | spl45_25
    | ~ spl45_26
    | spl45_27 ),
    inference(avatar_split_clause,[],[f21,f450,f446,f442,f357]) ).

fof(f453,plain,
    ( spl45_3
    | spl45_9
    | ~ spl45_26
    | spl45_27 ),
    inference(avatar_split_clause,[],[f22,f450,f446,f366,f339]) ).

fof(f455,definition,
    ( spl45_28
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl45_28])],[avatar_definition]) ).

fof(f459,definition,
    ( spl45_29
  <=> ! [X103] :
        ( ~ c0_1(X103)
        | ~ c2_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl45_29])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X103] :
        ( ~ c2_1(X103)
        | ~ c0_1(X103)
        | ~ c1_1(X103) )
    | ~ spl45_29 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( spl45_28
    | spl45_21
    | ~ spl45_26
    | spl45_29 ),
    inference(avatar_split_clause,[],[f23,f459,f446,f423,f455]) ).

fof(f462,plain,
    ( spl45_5
    | spl45_22
    | ~ spl45_26
    | spl45_29 ),
    inference(avatar_split_clause,[],[f24,f459,f446,f427,f348]) ).

fof(f463,plain,
    ( spl45_19
    | spl45_23
    | ~ spl45_26
    | spl45_29 ),
    inference(avatar_split_clause,[],[f25,f459,f446,f432,f413]) ).

fof(f465,definition,
    ( spl45_30
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl45_30])],[avatar_definition]) ).

fof(f469,definition,
    ( spl45_31
  <=> ! [X100] :
        ( c3_1(X100)
        | ~ c2_1(X100)
        | ~ c1_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl45_31])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X100] :
        ( ~ c2_1(X100)
        | c3_1(X100)
        | ~ c1_1(X100) )
    | ~ spl45_31 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl45_30
    | spl45_17
    | ~ spl45_26
    | spl45_31 ),
    inference(avatar_split_clause,[],[f26,f469,f446,f404,f465]) ).

fof(f473,definition,
    ( spl45_32
  <=> ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | ~ c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl45_32])],[avatar_definition]) ).

fof(f474,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | c3_1(X95)
        | ~ c0_1(X95) )
    | ~ spl45_32 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f475,plain,
    ( spl45_1
    | spl45_13
    | ~ spl45_26
    | spl45_32 ),
    inference(avatar_split_clause,[],[f29,f473,f446,f385,f331]) ).

fof(f477,definition,
    ( spl45_33
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl45_33])],[avatar_definition]) ).

fof(f485,definition,
    ( spl45_35
  <=> ! [X91] :
        ( c2_1(X91)
        | ~ c3_1(X91)
        | ~ c0_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl45_35])],[avatar_definition]) ).

fof(f486,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c2_1(X91)
        | ~ c0_1(X91) )
    | ~ spl45_35 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( spl45_25
    | spl45_22
    | ~ spl45_26
    | spl45_35 ),
    inference(avatar_split_clause,[],[f32,f485,f446,f427,f442]) ).

fof(f489,definition,
    ( spl45_36
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl45_36])],[avatar_definition]) ).

fof(f493,definition,
    ( spl45_37
  <=> ! [X90] :
        ( c2_1(X90)
        | ~ c0_1(X90)
        | c3_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl45_37])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | c2_1(X90)
        | c3_1(X90) )
    | ~ spl45_37 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f496,plain,
    ( spl45_6
    | spl45_9
    | ~ spl45_26
    | spl45_37 ),
    inference(avatar_split_clause,[],[f34,f493,f446,f366,f352]) ).

fof(f497,plain,
    ( spl45_4
    | spl45_24
    | ~ spl45_26
    | spl45_37 ),
    inference(avatar_split_clause,[],[f35,f493,f446,f437,f344]) ).

fof(f499,definition,
    ( spl45_38
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl45_38])],[avatar_definition]) ).

fof(f500,plain,
    ( ! [X87] :
        ( ~ c2_1(X87)
        | ~ c3_1(X87)
        | c1_1(X87) )
    | ~ spl45_38 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( spl45_6
    | spl45_25
    | ~ spl45_26
    | spl45_38 ),
    inference(avatar_split_clause,[],[f36,f499,f446,f442,f352]) ).

fof(f503,definition,
    ( spl45_39
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl45_39])],[avatar_definition]) ).

fof(f504,plain,
    ( ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) )
    | ~ spl45_39 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f508,definition,
    ( spl45_40
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl45_40])],[avatar_definition]) ).

fof(f516,definition,
    ( spl45_42
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl45_42])],[avatar_definition]) ).

fof(f520,definition,
    ( spl45_43
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl45_43])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77)
        | c2_1(X77) )
    | ~ spl45_43 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( spl45_16
    | spl45_42
    | ~ spl45_26
    | spl45_43 ),
    inference(avatar_split_clause,[],[f43,f520,f446,f516,f399]) ).

fof(f524,definition,
    ( spl45_44
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c0_1(X71)
        | c2_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl45_44])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X71] :
        ( ~ c0_1(X71)
        | c1_1(X71)
        | c2_1(X71) )
    | ~ spl45_44 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( spl45_12
    | spl45_42
    | ~ spl45_26
    | spl45_44 ),
    inference(avatar_split_clause,[],[f46,f524,f446,f516,f380]) ).

fof(f528,definition,
    ( spl45_45
  <=> ! [X70] :
        ( c0_1(X70)
        | ~ c3_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl45_45])],[avatar_definition]) ).

fof(f529,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | ~ c3_1(X70)
        | c0_1(X70) )
    | ~ spl45_45 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f532,definition,
    ( spl45_46
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl45_46])],[avatar_definition]) ).

fof(f533,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl45_46 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f534,plain,
    ( spl45_3
    | spl45_36
    | ~ spl45_26
    | spl45_46 ),
    inference(avatar_split_clause,[],[f54,f532,f446,f489,f339]) ).

fof(f535,plain,
    ( spl45_14
    | spl45_23
    | ~ spl45_26
    | spl45_46 ),
    inference(avatar_split_clause,[],[f55,f532,f446,f432,f390]) ).

fof(f537,definition,
    ( spl45_47
  <=> ! [X39] :
        ( c0_1(X39)
        | c3_1(X39)
        | c2_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl45_47])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X39] :
        ( c2_1(X39)
        | c3_1(X39)
        | c0_1(X39) )
    | ~ spl45_47 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( spl45_1
    | spl45_16
    | ~ spl45_26
    | spl45_47 ),
    inference(avatar_split_clause,[],[f63,f537,f446,f399,f331]) ).

fof(f541,definition,
    ( spl45_48
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c3_1(X30)
        | c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl45_48])],[avatar_definition]) ).

fof(f542,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c0_1(X30)
        | c1_1(X30) )
    | ~ spl45_48 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( spl45_25
    | spl45_12
    | ~ spl45_26
    | spl45_48 ),
    inference(avatar_split_clause,[],[f67,f541,f446,f380,f442]) ).

fof(f545,definition,
    ( spl45_49
  <=> ! [X19] :
        ( c0_1(X19)
        | ~ c2_1(X19)
        | c1_1(X19) ) ),
    introduced(definition,[new_symbols(definition,[spl45_49])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c0_1(X19)
        | c1_1(X19) )
    | ~ spl45_49 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f550,definition,
    ( spl45_50
  <=> ! [X6] :
        ( c0_1(X6)
        | c2_1(X6)
        | c1_1(X6) ) ),
    introduced(definition,[new_symbols(definition,[spl45_50])],[avatar_definition]) ).

fof(f551,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | c0_1(X6)
        | c1_1(X6) )
    | ~ spl45_50 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f552,plain,
    ( spl45_33
    | spl45_40
    | ~ spl45_26
    | spl45_50 ),
    inference(avatar_split_clause,[],[f78,f550,f446,f508,f477]) ).

fof(f553,plain,
    ( spl45_1
    | spl45_24
    | ~ spl45_26
    | spl45_50 ),
    inference(avatar_split_clause,[],[f79,f550,f446,f437,f331]) ).

fof(f571,definition,
    ( spl45_54
  <=> c3_1(a1647) ),
    introduced(definition,[new_symbols(definition,[spl45_54])],[avatar_definition]) ).

fof(f573,plain,
    ( c3_1(a1647)
    | ~ spl45_54 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( spl45_54
    | ~ spl45_23 ),
    inference(avatar_split_clause,[],[f86,f432,f571]) ).

fof(f576,definition,
    ( spl45_55
  <=> c1_1(a1647) ),
    introduced(definition,[new_symbols(definition,[spl45_55])],[avatar_definition]) ).

fof(f578,plain,
    ( c1_1(a1647)
    | ~ spl45_55 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f579,plain,
    ( spl45_55
    | ~ spl45_23 ),
    inference(avatar_split_clause,[],[f87,f432,f576]) ).

fof(f581,definition,
    ( spl45_56
  <=> c0_1(a1647) ),
    introduced(definition,[new_symbols(definition,[spl45_56])],[avatar_definition]) ).

fof(f583,plain,
    ( c0_1(a1647)
    | ~ spl45_56 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f584,plain,
    ( spl45_56
    | ~ spl45_23 ),
    inference(avatar_split_clause,[],[f88,f432,f581]) ).

fof(f587,definition,
    ( spl45_57
  <=> c3_1(a1646) ),
    introduced(definition,[new_symbols(definition,[spl45_57])],[avatar_definition]) ).

fof(f589,plain,
    ( c3_1(a1646)
    | ~ spl45_57 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( spl45_57
    | ~ spl45_25 ),
    inference(avatar_split_clause,[],[f90,f442,f587]) ).

fof(f592,definition,
    ( spl45_58
  <=> c2_1(a1646) ),
    introduced(definition,[new_symbols(definition,[spl45_58])],[avatar_definition]) ).

fof(f594,plain,
    ( c2_1(a1646)
    | ~ spl45_58 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( spl45_58
    | ~ spl45_25 ),
    inference(avatar_split_clause,[],[f91,f442,f592]) ).

fof(f597,definition,
    ( spl45_59
  <=> c1_1(a1646) ),
    introduced(definition,[new_symbols(definition,[spl45_59])],[avatar_definition]) ).

fof(f599,plain,
    ( c1_1(a1646)
    | ~ spl45_59 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f600,plain,
    ( spl45_59
    | ~ spl45_25 ),
    inference(avatar_split_clause,[],[f92,f442,f597]) ).

fof(f602,definition,
    ( spl45_60
  <=> c2_1(a1635) ),
    introduced(definition,[new_symbols(definition,[spl45_60])],[avatar_definition]) ).

fof(f604,plain,
    ( c2_1(a1635)
    | ~ spl45_60 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f605,plain,
    ( spl45_60
    | ~ spl45_24 ),
    inference(avatar_split_clause,[],[f94,f437,f602]) ).

fof(f607,definition,
    ( spl45_61
  <=> c1_1(a1635) ),
    introduced(definition,[new_symbols(definition,[spl45_61])],[avatar_definition]) ).

fof(f609,plain,
    ( c1_1(a1635)
    | ~ spl45_61 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( spl45_61
    | ~ spl45_24 ),
    inference(avatar_split_clause,[],[f95,f437,f607]) ).

fof(f612,definition,
    ( spl45_62
  <=> c0_1(a1635) ),
    introduced(definition,[new_symbols(definition,[spl45_62])],[avatar_definition]) ).

fof(f614,plain,
    ( c0_1(a1635)
    | ~ spl45_62 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( spl45_62
    | ~ spl45_24 ),
    inference(avatar_split_clause,[],[f96,f437,f612]) ).

fof(f618,definition,
    ( spl45_63
  <=> c0_1(a1737) ),
    introduced(definition,[new_symbols(definition,[spl45_63])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c0_1(a1737)
    | spl45_63 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl45_63
    | ~ spl45_11 ),
    inference(avatar_split_clause,[],[f98,f376,f618]) ).

fof(f623,definition,
    ( spl45_64
  <=> c3_1(a1737) ),
    introduced(definition,[new_symbols(definition,[spl45_64])],[avatar_definition]) ).

fof(f625,plain,
    ( c3_1(a1737)
    | ~ spl45_64 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f626,plain,
    ( spl45_64
    | ~ spl45_11 ),
    inference(avatar_split_clause,[],[f99,f376,f623]) ).

fof(f628,definition,
    ( spl45_65
  <=> c2_1(a1737) ),
    introduced(definition,[new_symbols(definition,[spl45_65])],[avatar_definition]) ).

fof(f630,plain,
    ( c2_1(a1737)
    | ~ spl45_65 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f631,plain,
    ( spl45_65
    | ~ spl45_11 ),
    inference(avatar_split_clause,[],[f100,f376,f628]) ).

fof(f634,definition,
    ( spl45_66
  <=> c0_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl45_66])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ c0_1(a1709)
    | spl45_66 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f637,plain,
    ( ~ spl45_66
    | ~ spl45_7 ),
    inference(avatar_split_clause,[],[f102,f357,f634]) ).

fof(f639,definition,
    ( spl45_67
  <=> c2_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl45_67])],[avatar_definition]) ).

fof(f641,plain,
    ( c2_1(a1709)
    | ~ spl45_67 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f642,plain,
    ( spl45_67
    | ~ spl45_7 ),
    inference(avatar_split_clause,[],[f103,f357,f639]) ).

fof(f644,definition,
    ( spl45_68
  <=> c1_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl45_68])],[avatar_definition]) ).

fof(f646,plain,
    ( c1_1(a1709)
    | ~ spl45_68 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f647,plain,
    ( spl45_68
    | ~ spl45_7 ),
    inference(avatar_split_clause,[],[f104,f357,f644]) ).

fof(f648,plain,
    ( spl45_26
    | ~ spl45_7 ),
    inference(avatar_split_clause,[],[f105,f357,f446]) ).

fof(f650,definition,
    ( spl45_69
  <=> c1_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl45_69])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ spl45_69
    | ~ spl45_19 ),
    inference(avatar_split_clause,[],[f106,f413,f650]) ).

fof(f655,definition,
    ( spl45_70
  <=> c0_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl45_70])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ c0_1(a1701)
    | spl45_70 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( ~ spl45_70
    | ~ spl45_19 ),
    inference(avatar_split_clause,[],[f107,f413,f655]) ).

fof(f660,definition,
    ( spl45_71
  <=> c3_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl45_71])],[avatar_definition]) ).

fof(f662,plain,
    ( c3_1(a1701)
    | ~ spl45_71 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( spl45_71
    | ~ spl45_19 ),
    inference(avatar_split_clause,[],[f108,f413,f660]) ).

fof(f671,definition,
    ( spl45_73
  <=> c2_1(a1699) ),
    introduced(definition,[new_symbols(definition,[spl45_73])],[avatar_definition]) ).

fof(f673,plain,
    ( ~ c2_1(a1699)
    | spl45_73 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f674,plain,
    ( ~ spl45_73
    | ~ spl45_30 ),
    inference(avatar_split_clause,[],[f111,f465,f671]) ).

fof(f676,definition,
    ( spl45_74
  <=> c1_1(a1699) ),
    introduced(definition,[new_symbols(definition,[spl45_74])],[avatar_definition]) ).

fof(f678,plain,
    ( ~ c1_1(a1699)
    | spl45_74 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl45_74
    | ~ spl45_30 ),
    inference(avatar_split_clause,[],[f112,f465,f676]) ).

fof(f681,definition,
    ( spl45_75
  <=> c3_1(a1697) ),
    introduced(definition,[new_symbols(definition,[spl45_75])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ c3_1(a1697)
    | spl45_75 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f684,plain,
    ( ~ spl45_75
    | ~ spl45_28 ),
    inference(avatar_split_clause,[],[f114,f455,f681]) ).

fof(f686,definition,
    ( spl45_76
  <=> c2_1(a1697) ),
    introduced(definition,[new_symbols(definition,[spl45_76])],[avatar_definition]) ).

fof(f688,plain,
    ( ~ c2_1(a1697)
    | spl45_76 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f689,plain,
    ( ~ spl45_76
    | ~ spl45_28 ),
    inference(avatar_split_clause,[],[f115,f455,f686]) ).

fof(f691,definition,
    ( spl45_77
  <=> c0_1(a1697) ),
    introduced(definition,[new_symbols(definition,[spl45_77])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ c0_1(a1697)
    | spl45_77 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( ~ spl45_77
    | ~ spl45_28 ),
    inference(avatar_split_clause,[],[f116,f455,f691]) ).

fof(f696,definition,
    ( spl45_78
  <=> c1_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl45_78])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl45_78
    | ~ spl45_5 ),
    inference(avatar_split_clause,[],[f118,f348,f696]) ).

fof(f701,definition,
    ( spl45_79
  <=> c3_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl45_79])],[avatar_definition]) ).

fof(f703,plain,
    ( c3_1(a1691)
    | ~ spl45_79 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( spl45_79
    | ~ spl45_5 ),
    inference(avatar_split_clause,[],[f119,f348,f701]) ).

fof(f706,definition,
    ( spl45_80
  <=> c2_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl45_80])],[avatar_definition]) ).

fof(f708,plain,
    ( c2_1(a1691)
    | ~ spl45_80 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f709,plain,
    ( spl45_80
    | ~ spl45_5 ),
    inference(avatar_split_clause,[],[f120,f348,f706]) ).

fof(f717,definition,
    ( spl45_82
  <=> c1_1(a1689) ),
    introduced(definition,[new_symbols(definition,[spl45_82])],[avatar_definition]) ).

fof(f719,plain,
    ( c1_1(a1689)
    | ~ spl45_82 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( spl45_82
    | ~ spl45_22 ),
    inference(avatar_split_clause,[],[f123,f427,f717]) ).

fof(f722,definition,
    ( spl45_83
  <=> c0_1(a1689) ),
    introduced(definition,[new_symbols(definition,[spl45_83])],[avatar_definition]) ).

fof(f724,plain,
    ( c0_1(a1689)
    | ~ spl45_83 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( spl45_83
    | ~ spl45_22 ),
    inference(avatar_split_clause,[],[f124,f427,f722]) ).

fof(f728,definition,
    ( spl45_84
  <=> c3_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl45_84])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ c3_1(a1682)
    | spl45_84 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f731,plain,
    ( ~ spl45_84
    | ~ spl45_6 ),
    inference(avatar_split_clause,[],[f126,f352,f728]) ).

fof(f733,definition,
    ( spl45_85
  <=> c2_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl45_85])],[avatar_definition]) ).

fof(f735,plain,
    ( c2_1(a1682)
    | ~ spl45_85 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( spl45_85
    | ~ spl45_6 ),
    inference(avatar_split_clause,[],[f127,f352,f733]) ).

fof(f738,definition,
    ( spl45_86
  <=> c1_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl45_86])],[avatar_definition]) ).

fof(f740,plain,
    ( c1_1(a1682)
    | ~ spl45_86 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( spl45_86
    | ~ spl45_6 ),
    inference(avatar_split_clause,[],[f128,f352,f738]) ).

fof(f744,definition,
    ( spl45_87
  <=> c2_1(a1680) ),
    introduced(definition,[new_symbols(definition,[spl45_87])],[avatar_definition]) ).

fof(f746,plain,
    ( ~ c2_1(a1680)
    | spl45_87 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f747,plain,
    ( ~ spl45_87
    | ~ spl45_15 ),
    inference(avatar_split_clause,[],[f130,f395,f744]) ).

fof(f749,definition,
    ( spl45_88
  <=> c0_1(a1680) ),
    introduced(definition,[new_symbols(definition,[spl45_88])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ c0_1(a1680)
    | spl45_88 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( ~ spl45_88
    | ~ spl45_15 ),
    inference(avatar_split_clause,[],[f131,f395,f749]) ).

fof(f754,definition,
    ( spl45_89
  <=> c1_1(a1680) ),
    introduced(definition,[new_symbols(definition,[spl45_89])],[avatar_definition]) ).

fof(f756,plain,
    ( c1_1(a1680)
    | ~ spl45_89 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f757,plain,
    ( spl45_89
    | ~ spl45_15 ),
    inference(avatar_split_clause,[],[f132,f395,f754]) ).

fof(f760,definition,
    ( spl45_90
  <=> c1_1(a1675) ),
    introduced(definition,[new_symbols(definition,[spl45_90])],[avatar_definition]) ).

fof(f762,plain,
    ( ~ c1_1(a1675)
    | spl45_90 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f763,plain,
    ( ~ spl45_90
    | ~ spl45_2 ),
    inference(avatar_split_clause,[],[f134,f335,f760]) ).

fof(f765,definition,
    ( spl45_91
  <=> c0_1(a1675) ),
    introduced(definition,[new_symbols(definition,[spl45_91])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c0_1(a1675)
    | spl45_91 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f768,plain,
    ( ~ spl45_91
    | ~ spl45_2 ),
    inference(avatar_split_clause,[],[f135,f335,f765]) ).

fof(f770,definition,
    ( spl45_92
  <=> c2_1(a1675) ),
    introduced(definition,[new_symbols(definition,[spl45_92])],[avatar_definition]) ).

fof(f772,plain,
    ( c2_1(a1675)
    | ~ spl45_92 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( spl45_92
    | ~ spl45_2 ),
    inference(avatar_split_clause,[],[f136,f335,f770]) ).

fof(f774,plain,
    ( spl45_26
    | ~ spl45_2 ),
    inference(avatar_split_clause,[],[f137,f335,f446]) ).

fof(f776,definition,
    ( spl45_93
  <=> c1_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl45_93])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ c1_1(a1667)
    | spl45_93 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( ~ spl45_93
    | ~ spl45_42 ),
    inference(avatar_split_clause,[],[f138,f516,f776]) ).

fof(f781,definition,
    ( spl45_94
  <=> c2_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl45_94])],[avatar_definition]) ).

fof(f783,plain,
    ( c2_1(a1667)
    | ~ spl45_94 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl45_94
    | ~ spl45_42 ),
    inference(avatar_split_clause,[],[f139,f516,f781]) ).

fof(f786,definition,
    ( spl45_95
  <=> c0_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl45_95])],[avatar_definition]) ).

fof(f788,plain,
    ( c0_1(a1667)
    | ~ spl45_95 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( spl45_95
    | ~ spl45_42 ),
    inference(avatar_split_clause,[],[f140,f516,f786]) ).

fof(f791,definition,
    ( spl45_96
  <=> c2_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl45_96])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ c2_1(a1664)
    | spl45_96 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( ~ spl45_96
    | ~ spl45_10 ),
    inference(avatar_split_clause,[],[f142,f371,f791]) ).

fof(f796,definition,
    ( spl45_97
  <=> c1_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl45_97])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ c1_1(a1664)
    | spl45_97 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( ~ spl45_97
    | ~ spl45_10 ),
    inference(avatar_split_clause,[],[f143,f371,f796]) ).

fof(f801,definition,
    ( spl45_98
  <=> c0_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl45_98])],[avatar_definition]) ).

fof(f803,plain,
    ( c0_1(a1664)
    | ~ spl45_98 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( spl45_98
    | ~ spl45_10 ),
    inference(avatar_split_clause,[],[f144,f371,f801]) ).

fof(f807,definition,
    ( spl45_99
  <=> c3_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl45_99])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl45_99
    | ~ spl45_21 ),
    inference(avatar_split_clause,[],[f146,f423,f807]) ).

fof(f812,definition,
    ( spl45_100
  <=> c1_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl45_100])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ spl45_100
    | ~ spl45_21 ),
    inference(avatar_split_clause,[],[f147,f423,f812]) ).

fof(f817,definition,
    ( spl45_101
  <=> c0_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl45_101])],[avatar_definition]) ).

fof(f819,plain,
    ( c0_1(a1661)
    | ~ spl45_101 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( spl45_101
    | ~ spl45_21 ),
    inference(avatar_split_clause,[],[f148,f423,f817]) ).

fof(f823,definition,
    ( spl45_102
  <=> c2_1(a1658) ),
    introduced(definition,[new_symbols(definition,[spl45_102])],[avatar_definition]) ).

fof(f825,plain,
    ( ~ c2_1(a1658)
    | spl45_102 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( ~ spl45_102
    | ~ spl45_36 ),
    inference(avatar_split_clause,[],[f150,f489,f823]) ).

fof(f833,definition,
    ( spl45_104
  <=> c1_1(a1658) ),
    introduced(definition,[new_symbols(definition,[spl45_104])],[avatar_definition]) ).

fof(f835,plain,
    ( c1_1(a1658)
    | ~ spl45_104 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl45_104
    | ~ spl45_36 ),
    inference(avatar_split_clause,[],[f152,f489,f833]) ).

fof(f838,definition,
    ( spl45_105
  <=> c3_1(a1653) ),
    introduced(definition,[new_symbols(definition,[spl45_105])],[avatar_definition]) ).

fof(f840,plain,
    ( ~ c3_1(a1653)
    | spl45_105 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( ~ spl45_105
    | ~ spl45_20 ),
    inference(avatar_split_clause,[],[f154,f417,f838]) ).

fof(f843,definition,
    ( spl45_106
  <=> c1_1(a1653) ),
    introduced(definition,[new_symbols(definition,[spl45_106])],[avatar_definition]) ).

fof(f845,plain,
    ( c1_1(a1653)
    | ~ spl45_106 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl45_106
    | ~ spl45_20 ),
    inference(avatar_split_clause,[],[f155,f417,f843]) ).

fof(f848,definition,
    ( spl45_107
  <=> c0_1(a1653) ),
    introduced(definition,[new_symbols(definition,[spl45_107])],[avatar_definition]) ).

fof(f850,plain,
    ( c0_1(a1653)
    | ~ spl45_107 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( spl45_107
    | ~ spl45_20 ),
    inference(avatar_split_clause,[],[f156,f417,f848]) ).

fof(f854,definition,
    ( spl45_108
  <=> c3_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl45_108])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ c3_1(a1650)
    | spl45_108 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( ~ spl45_108
    | ~ spl45_3 ),
    inference(avatar_split_clause,[],[f158,f339,f854]) ).

fof(f859,definition,
    ( spl45_109
  <=> c0_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl45_109])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ c0_1(a1650)
    | spl45_109 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( ~ spl45_109
    | ~ spl45_3 ),
    inference(avatar_split_clause,[],[f159,f339,f859]) ).

fof(f864,definition,
    ( spl45_110
  <=> c1_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl45_110])],[avatar_definition]) ).

fof(f866,plain,
    ( c1_1(a1650)
    | ~ spl45_110 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f867,plain,
    ( spl45_110
    | ~ spl45_3 ),
    inference(avatar_split_clause,[],[f160,f339,f864]) ).

fof(f870,definition,
    ( spl45_111
  <=> c3_1(a1648) ),
    introduced(definition,[new_symbols(definition,[spl45_111])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ spl45_111
    | ~ spl45_16 ),
    inference(avatar_split_clause,[],[f162,f399,f870]) ).

fof(f875,definition,
    ( spl45_112
  <=> c2_1(a1648) ),
    introduced(definition,[new_symbols(definition,[spl45_112])],[avatar_definition]) ).

fof(f877,plain,
    ( c2_1(a1648)
    | ~ spl45_112 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( spl45_112
    | ~ spl45_16 ),
    inference(avatar_split_clause,[],[f163,f399,f875]) ).

fof(f880,definition,
    ( spl45_113
  <=> c0_1(a1648) ),
    introduced(definition,[new_symbols(definition,[spl45_113])],[avatar_definition]) ).

fof(f882,plain,
    ( c0_1(a1648)
    | ~ spl45_113 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f883,plain,
    ( spl45_113
    | ~ spl45_16 ),
    inference(avatar_split_clause,[],[f164,f399,f880]) ).

fof(f902,definition,
    ( spl45_117
  <=> c3_1(a1643) ),
    introduced(definition,[new_symbols(definition,[spl45_117])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ c3_1(a1643)
    | spl45_117 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( ~ spl45_117
    | ~ spl45_13 ),
    inference(avatar_split_clause,[],[f170,f385,f902]) ).

fof(f907,definition,
    ( spl45_118
  <=> c2_1(a1643) ),
    introduced(definition,[new_symbols(definition,[spl45_118])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ c2_1(a1643)
    | spl45_118 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( ~ spl45_118
    | ~ spl45_13 ),
    inference(avatar_split_clause,[],[f171,f385,f907]) ).

fof(f912,definition,
    ( spl45_119
  <=> c1_1(a1643) ),
    introduced(definition,[new_symbols(definition,[spl45_119])],[avatar_definition]) ).

fof(f914,plain,
    ( c1_1(a1643)
    | ~ spl45_119 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl45_119
    | ~ spl45_13 ),
    inference(avatar_split_clause,[],[f172,f385,f912]) ).

fof(f918,definition,
    ( spl45_120
  <=> c3_1(a1642) ),
    introduced(definition,[new_symbols(definition,[spl45_120])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl45_120
    | ~ spl45_9 ),
    inference(avatar_split_clause,[],[f174,f366,f918]) ).

fof(f923,definition,
    ( spl45_121
  <=> c2_1(a1642) ),
    introduced(definition,[new_symbols(definition,[spl45_121])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c2_1(a1642)
    | spl45_121 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl45_121
    | ~ spl45_9 ),
    inference(avatar_split_clause,[],[f175,f366,f923]) ).

fof(f928,definition,
    ( spl45_122
  <=> c0_1(a1642) ),
    introduced(definition,[new_symbols(definition,[spl45_122])],[avatar_definition]) ).

fof(f930,plain,
    ( c0_1(a1642)
    | ~ spl45_122 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl45_122
    | ~ spl45_9 ),
    inference(avatar_split_clause,[],[f176,f366,f928]) ).

fof(f934,definition,
    ( spl45_123
  <=> c3_1(a1641) ),
    introduced(definition,[new_symbols(definition,[spl45_123])],[avatar_definition]) ).

fof(f936,plain,
    ( ~ c3_1(a1641)
    | spl45_123 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f937,plain,
    ( ~ spl45_123
    | ~ spl45_4 ),
    inference(avatar_split_clause,[],[f178,f344,f934]) ).

fof(f939,definition,
    ( spl45_124
  <=> c0_1(a1641) ),
    introduced(definition,[new_symbols(definition,[spl45_124])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ c0_1(a1641)
    | spl45_124 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f942,plain,
    ( ~ spl45_124
    | ~ spl45_4 ),
    inference(avatar_split_clause,[],[f179,f344,f939]) ).

fof(f944,definition,
    ( spl45_125
  <=> c2_1(a1641) ),
    introduced(definition,[new_symbols(definition,[spl45_125])],[avatar_definition]) ).

fof(f946,plain,
    ( c2_1(a1641)
    | ~ spl45_125 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f947,plain,
    ( spl45_125
    | ~ spl45_4 ),
    inference(avatar_split_clause,[],[f180,f344,f944]) ).

fof(f950,definition,
    ( spl45_126
  <=> c2_1(a1640) ),
    introduced(definition,[new_symbols(definition,[spl45_126])],[avatar_definition]) ).

fof(f952,plain,
    ( ~ c2_1(a1640)
    | spl45_126 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f953,plain,
    ( ~ spl45_126
    | ~ spl45_14 ),
    inference(avatar_split_clause,[],[f182,f390,f950]) ).

fof(f955,definition,
    ( spl45_127
  <=> c3_1(a1640) ),
    introduced(definition,[new_symbols(definition,[spl45_127])],[avatar_definition]) ).

fof(f957,plain,
    ( c3_1(a1640)
    | ~ spl45_127 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( spl45_127
    | ~ spl45_14 ),
    inference(avatar_split_clause,[],[f183,f390,f955]) ).

fof(f960,definition,
    ( spl45_128
  <=> c0_1(a1640) ),
    introduced(definition,[new_symbols(definition,[spl45_128])],[avatar_definition]) ).

fof(f962,plain,
    ( c0_1(a1640)
    | ~ spl45_128 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f963,plain,
    ( spl45_128
    | ~ spl45_14 ),
    inference(avatar_split_clause,[],[f184,f390,f960]) ).

fof(f966,definition,
    ( spl45_129
  <=> c2_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl45_129])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ c2_1(a1639)
    | spl45_129 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl45_129
    | ~ spl45_17 ),
    inference(avatar_split_clause,[],[f186,f404,f966]) ).

fof(f971,definition,
    ( spl45_130
  <=> c1_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl45_130])],[avatar_definition]) ).

fof(f973,plain,
    ( ~ c1_1(a1639)
    | spl45_130 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( ~ spl45_130
    | ~ spl45_17 ),
    inference(avatar_split_clause,[],[f187,f404,f971]) ).

fof(f976,definition,
    ( spl45_131
  <=> c3_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl45_131])],[avatar_definition]) ).

fof(f978,plain,
    ( c3_1(a1639)
    | ~ spl45_131 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f979,plain,
    ( spl45_131
    | ~ spl45_17 ),
    inference(avatar_split_clause,[],[f188,f404,f976]) ).

fof(f982,definition,
    ( spl45_132
  <=> c2_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl45_132])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ c2_1(a1638)
    | spl45_132 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f985,plain,
    ( ~ spl45_132
    | ~ spl45_33 ),
    inference(avatar_split_clause,[],[f190,f477,f982]) ).

fof(f987,definition,
    ( spl45_133
  <=> c0_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl45_133])],[avatar_definition]) ).

fof(f989,plain,
    ( ~ c0_1(a1638)
    | spl45_133 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f990,plain,
    ( ~ spl45_133
    | ~ spl45_33 ),
    inference(avatar_split_clause,[],[f191,f477,f987]) ).

fof(f992,definition,
    ( spl45_134
  <=> c3_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl45_134])],[avatar_definition]) ).

fof(f994,plain,
    ( c3_1(a1638)
    | ~ spl45_134 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f995,plain,
    ( spl45_134
    | ~ spl45_33 ),
    inference(avatar_split_clause,[],[f192,f477,f992]) ).

fof(f997,definition,
    ( spl45_135
  <=> c0_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl45_135])],[avatar_definition]) ).

fof(f999,plain,
    ( ~ c0_1(a1637)
    | spl45_135 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1000,plain,
    ( ~ spl45_135
    | ~ spl45_40 ),
    inference(avatar_split_clause,[],[f194,f508,f997]) ).

fof(f1002,definition,
    ( spl45_136
  <=> c3_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl45_136])],[avatar_definition]) ).

fof(f1004,plain,
    ( c3_1(a1637)
    | ~ spl45_136 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1005,plain,
    ( spl45_136
    | ~ spl45_40 ),
    inference(avatar_split_clause,[],[f195,f508,f1002]) ).

fof(f1007,definition,
    ( spl45_137
  <=> c1_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl45_137])],[avatar_definition]) ).

fof(f1009,plain,
    ( c1_1(a1637)
    | ~ spl45_137 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1010,plain,
    ( spl45_137
    | ~ spl45_40 ),
    inference(avatar_split_clause,[],[f196,f508,f1007]) ).

fof(f1012,definition,
    ( spl45_138
  <=> c2_1(a1636) ),
    introduced(definition,[new_symbols(definition,[spl45_138])],[avatar_definition]) ).

fof(f1014,plain,
    ( ~ c2_1(a1636)
    | spl45_138 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1015,plain,
    ( ~ spl45_138
    | ~ spl45_1 ),
    inference(avatar_split_clause,[],[f198,f331,f1012]) ).

fof(f1017,definition,
    ( spl45_139
  <=> c1_1(a1636) ),
    introduced(definition,[new_symbols(definition,[spl45_139])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ c1_1(a1636)
    | spl45_139 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1020,plain,
    ( ~ spl45_139
    | ~ spl45_1 ),
    inference(avatar_split_clause,[],[f199,f331,f1017]) ).

fof(f1022,definition,
    ( spl45_140
  <=> c0_1(a1636) ),
    introduced(definition,[new_symbols(definition,[spl45_140])],[avatar_definition]) ).

fof(f1024,plain,
    ( ~ c0_1(a1636)
    | spl45_140 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1025,plain,
    ( ~ spl45_140
    | ~ spl45_1 ),
    inference(avatar_split_clause,[],[f200,f331,f1022]) ).

fof(f1026,plain,
    ( spl45_26
    | ~ spl45_1 ),
    inference(avatar_split_clause,[],[f201,f331,f446]) ).

fof(f1028,definition,
    ( spl45_141
  <=> c1_1(a1634) ),
    introduced(definition,[new_symbols(definition,[spl45_141])],[avatar_definition]) ).

fof(f1030,plain,
    ( ~ c1_1(a1634)
    | spl45_141 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1031,plain,
    ( ~ spl45_141
    | ~ spl45_12 ),
    inference(avatar_split_clause,[],[f202,f380,f1028]) ).

fof(f1033,definition,
    ( spl45_142
  <=> c3_1(a1634) ),
    introduced(definition,[new_symbols(definition,[spl45_142])],[avatar_definition]) ).

fof(f1035,plain,
    ( c3_1(a1634)
    | ~ spl45_142 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1036,plain,
    ( spl45_142
    | ~ spl45_12 ),
    inference(avatar_split_clause,[],[f203,f380,f1033]) ).

fof(f1038,definition,
    ( spl45_143
  <=> c0_1(a1634) ),
    introduced(definition,[new_symbols(definition,[spl45_143])],[avatar_definition]) ).

fof(f1040,plain,
    ( c0_1(a1634)
    | ~ spl45_143 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1041,plain,
    ( spl45_143
    | ~ spl45_12 ),
    inference(avatar_split_clause,[],[f204,f380,f1038]) ).

fof(f1044,definition,
    ( spl45_144
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl45_144])],[avatar_definition]) ).

fof(f1048,definition,
    ( spl45_145
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl45_145])],[avatar_definition]) ).

fof(f1049,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl45_145 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1050,plain,
    ( spl45_144
    | spl45_145 ),
    inference(avatar_split_clause,[],[f206,f1048,f1044]) ).

fof(f1052,definition,
    ( spl45_146
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl45_146])],[avatar_definition]) ).

fof(f1055,plain,
    ( spl45_146
    | spl45_50 ),
    inference(avatar_split_clause,[],[f208,f550,f1052]) ).

fof(f1056,plain,
    ( ~ spl45_146
    | ~ spl45_144
    | spl45_47
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f296,f446,f537,f1044,f1052]) ).

fof(f1058,definition,
    ( spl45_147
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl45_147])],[avatar_definition]) ).

fof(f1061,plain,
    ( spl45_147
    | spl45_50 ),
    inference(avatar_split_clause,[],[f210,f550,f1058]) ).

fof(f1062,plain,
    ( ~ spl45_147
    | spl45_12
    | spl45_37
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f297,f446,f493,f380,f1058]) ).

fof(f1064,definition,
    ( spl45_148
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl45_148])],[avatar_definition]) ).

fof(f1067,plain,
    ( spl45_148
    | spl45_39 ),
    inference(avatar_split_clause,[],[f212,f503,f1064]) ).

fof(f1069,definition,
    ( spl45_149
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl45_149])],[avatar_definition]) ).

fof(f1072,plain,
    ( spl45_149
    | spl45_31 ),
    inference(avatar_split_clause,[],[f214,f469,f1069]) ).

fof(f1074,definition,
    ( spl45_150
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl45_150])],[avatar_definition]) ).

fof(f1075,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) )
    | ~ spl45_150 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1076,plain,
    ( ~ spl45_149
    | ~ spl45_148
    | ~ spl45_26
    | spl45_150 ),
    inference(avatar_split_clause,[],[f298,f1074,f446,f1064,f1069]) ).

fof(f1078,definition,
    ( spl45_151
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl45_151])],[avatar_definition]) ).

fof(f1081,plain,
    ( spl45_151
    | spl45_150 ),
    inference(avatar_split_clause,[],[f216,f1074,f1078]) ).

fof(f1083,definition,
    ( spl45_152
  <=> ! [X11] :
        ( c2_1(X11)
        | ~ c1_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl45_152])],[avatar_definition]) ).

fof(f1084,plain,
    ( ! [X11] :
        ( c2_1(X11)
        | ~ c1_1(X11)
        | ~ c0_1(X11) )
    | ~ spl45_152 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1085,plain,
    ( ~ spl45_151
    | spl45_17
    | spl45_152
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f299,f446,f1083,f404,f1078]) ).

fof(f1087,definition,
    ( spl45_153
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl45_153])],[avatar_definition]) ).

fof(f1090,plain,
    ( spl45_153
    | spl45_38 ),
    inference(avatar_split_clause,[],[f218,f499,f1087]) ).

fof(f1092,definition,
    ( spl45_154
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl45_154])],[avatar_definition]) ).

fof(f1095,plain,
    ( spl45_154
    | spl45_49 ),
    inference(avatar_split_clause,[],[f220,f545,f1092]) ).

fof(f1096,plain,
    ( ~ spl45_154
    | ~ spl45_153
    | spl45_44
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f300,f446,f524,f1087,f1092]) ).

fof(f1098,definition,
    ( spl45_155
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl45_155])],[avatar_definition]) ).

fof(f1102,definition,
    ( spl45_156
  <=> ! [X16] :
        ( c3_1(X16)
        | ~ c1_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl45_156])],[avatar_definition]) ).

fof(f1103,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c3_1(X16)
        | ~ c0_1(X16) )
    | ~ spl45_156 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f1104,plain,
    ( spl45_155
    | spl45_156 ),
    inference(avatar_split_clause,[],[f222,f1102,f1098]) ).

fof(f1106,definition,
    ( spl45_157
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl45_157])],[avatar_definition]) ).

fof(f1110,definition,
    ( spl45_158
  <=> ! [X17] :
        ( ~ c0_1(X17)
        | ~ c3_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl45_158])],[avatar_definition]) ).

fof(f1111,plain,
    ( ! [X17] :
        ( ~ c0_1(X17)
        | ~ c3_1(X17)
        | ~ c2_1(X17) )
    | ~ spl45_158 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1112,plain,
    ( spl45_157
    | spl45_158 ),
    inference(avatar_split_clause,[],[f224,f1110,f1106]) ).

fof(f1113,plain,
    ( ~ spl45_157
    | ~ spl45_155
    | ~ spl45_26
    | spl45_49 ),
    inference(avatar_split_clause,[],[f301,f545,f446,f1098,f1106]) ).

fof(f1115,definition,
    ( spl45_159
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl45_159])],[avatar_definition]) ).

fof(f1118,plain,
    ( spl45_159
    | spl45_46 ),
    inference(avatar_split_clause,[],[f226,f532,f1115]) ).

fof(f1119,plain,
    ( ~ spl45_159
    | ~ spl45_26
    | spl45_48 ),
    inference(avatar_split_clause,[],[f302,f541,f446,f1115]) ).

fof(f1121,definition,
    ( spl45_160
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl45_160])],[avatar_definition]) ).

fof(f1124,plain,
    ( spl45_160
    | spl45_158 ),
    inference(avatar_split_clause,[],[f228,f1110,f1121]) ).

fof(f1126,definition,
    ( spl45_161
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl45_161])],[avatar_definition]) ).

fof(f1129,plain,
    ( spl45_161
    | spl45_48 ),
    inference(avatar_split_clause,[],[f230,f541,f1126]) ).

fof(f1130,plain,
    ( ~ spl45_161
    | ~ spl45_160
    | spl45_32
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f303,f446,f473,f1121,f1126]) ).

fof(f1132,definition,
    ( spl45_162
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl45_162])],[avatar_definition]) ).

fof(f1135,plain,
    ( spl45_162
    | spl45_31 ),
    inference(avatar_split_clause,[],[f232,f469,f1132]) ).

fof(f1137,definition,
    ( spl45_163
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl45_163])],[avatar_definition]) ).

fof(f1140,plain,
    ( spl45_163
    | spl45_29 ),
    inference(avatar_split_clause,[],[f234,f459,f1137]) ).

fof(f1141,plain,
    ( ~ spl45_163
    | ~ spl45_162
    | ~ spl45_26
    | spl45_48 ),
    inference(avatar_split_clause,[],[f304,f541,f446,f1132,f1137]) ).

fof(f1158,definition,
    ( spl45_167
  <=> ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl45_167])],[avatar_definition]) ).

fof(f1159,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | c2_1(X32) )
    | ~ spl45_167 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1163,definition,
    ( spl45_168
  <=> sP18 ),
    introduced(definition,[new_symbols(definition,[spl45_168])],[avatar_definition]) ).

fof(f1166,plain,
    ( spl45_168
    | spl45_32 ),
    inference(avatar_split_clause,[],[f242,f473,f1163]) ).

fof(f1168,definition,
    ( spl45_169
  <=> sP19 ),
    introduced(definition,[new_symbols(definition,[spl45_169])],[avatar_definition]) ).

fof(f1171,plain,
    ( spl45_169
    | spl45_47 ),
    inference(avatar_split_clause,[],[f244,f537,f1168]) ).

fof(f1172,plain,
    ( ~ spl45_169
    | ~ spl45_168
    | spl45_46
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f307,f446,f532,f1163,f1168]) ).

fof(f1174,definition,
    ( spl45_170
  <=> sP20 ),
    introduced(definition,[new_symbols(definition,[spl45_170])],[avatar_definition]) ).

fof(f1177,plain,
    ( spl45_170
    | spl45_44 ),
    inference(avatar_split_clause,[],[f246,f524,f1174]) ).

fof(f1178,plain,
    ( ~ spl45_170
    | spl45_23
    | ~ spl45_26
    | spl45_47 ),
    inference(avatar_split_clause,[],[f308,f537,f446,f432,f1174]) ).

fof(f1186,definition,
    ( spl45_172
  <=> sP22 ),
    introduced(definition,[new_symbols(definition,[spl45_172])],[avatar_definition]) ).

fof(f1189,plain,
    ( spl45_172
    | spl45_167 ),
    inference(avatar_split_clause,[],[f250,f1158,f1186]) ).

fof(f1191,definition,
    ( spl45_173
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl45_173])],[avatar_definition]) ).

fof(f1192,plain,
    ( ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | ~ c1_1(X43) )
    | ~ spl45_173 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1193,plain,
    ( ~ spl45_172
    | spl45_3
    | spl45_173
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f310,f446,f1191,f339,f1186]) ).

fof(f1195,definition,
    ( spl45_174
  <=> sP23 ),
    introduced(definition,[new_symbols(definition,[spl45_174])],[avatar_definition]) ).

fof(f1198,plain,
    ( spl45_174
    | spl45_167 ),
    inference(avatar_split_clause,[],[f252,f1158,f1195]) ).

fof(f1200,definition,
    ( spl45_175
  <=> ! [X45] :
        ( c1_1(X45)
        | ~ c2_1(X45)
        | ~ c0_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl45_175])],[avatar_definition]) ).

fof(f1201,plain,
    ( ! [X45] :
        ( c1_1(X45)
        | ~ c2_1(X45)
        | ~ c0_1(X45) )
    | ~ spl45_175 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1202,plain,
    ( ~ spl45_174
    | spl45_23
    | spl45_175
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f311,f446,f1200,f432,f1195]) ).

fof(f1204,definition,
    ( spl45_176
  <=> sP24 ),
    introduced(definition,[new_symbols(definition,[spl45_176])],[avatar_definition]) ).

fof(f1207,plain,
    ( spl45_176
    | spl45_167 ),
    inference(avatar_split_clause,[],[f254,f1158,f1204]) ).

fof(f1208,plain,
    ( ~ spl45_176
    | spl45_20
    | spl45_38
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f312,f446,f499,f417,f1204]) ).

fof(f1210,definition,
    ( spl45_177
  <=> sP25 ),
    introduced(definition,[new_symbols(definition,[spl45_177])],[avatar_definition]) ).

fof(f1214,definition,
    ( spl45_178
  <=> ! [X48] :
        ( c0_1(X48)
        | ~ c1_1(X48)
        | c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl45_178])],[avatar_definition]) ).

fof(f1215,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48)
        | c3_1(X48) )
    | ~ spl45_178 ),
    inference(avatar_component_clause,[],[f1214]) ).

fof(f1216,plain,
    ( spl45_177
    | spl45_178 ),
    inference(avatar_split_clause,[],[f256,f1214,f1210]) ).

fof(f1218,definition,
    ( spl45_179
  <=> ! [X49] :
        ( c1_1(X49)
        | c3_1(X49)
        | c2_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl45_179])],[avatar_definition]) ).

fof(f1219,plain,
    ( ! [X49] :
        ( c1_1(X49)
        | c3_1(X49)
        | c2_1(X49) )
    | ~ spl45_179 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1220,plain,
    ( ~ spl45_177
    | spl45_33
    | spl45_179
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f313,f446,f1218,f477,f1210]) ).

fof(f1222,definition,
    ( spl45_180
  <=> sP26 ),
    introduced(definition,[new_symbols(definition,[spl45_180])],[avatar_definition]) ).

fof(f1225,plain,
    ( spl45_180
    | spl45_178 ),
    inference(avatar_split_clause,[],[f258,f1214,f1222]) ).

fof(f1227,definition,
    ( spl45_181
  <=> sP27 ),
    introduced(definition,[new_symbols(definition,[spl45_181])],[avatar_definition]) ).

fof(f1230,plain,
    ( spl45_181
    | spl45_44 ),
    inference(avatar_split_clause,[],[f260,f524,f1227]) ).

fof(f1231,plain,
    ( ~ spl45_181
    | ~ spl45_180
    | spl45_156
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f314,f446,f1102,f1222,f1227]) ).

fof(f1239,definition,
    ( spl45_183
  <=> sP29 ),
    introduced(definition,[new_symbols(definition,[spl45_183])],[avatar_definition]) ).

fof(f1242,plain,
    ( spl45_183
    | spl45_44 ),
    inference(avatar_split_clause,[],[f264,f524,f1239]) ).

fof(f1243,plain,
    ( ~ spl45_183
    | spl45_3
    | ~ spl45_26
    | spl45_173 ),
    inference(avatar_split_clause,[],[f316,f1191,f446,f339,f1239]) ).

fof(f1251,definition,
    ( spl45_185
  <=> sP31 ),
    introduced(definition,[new_symbols(definition,[spl45_185])],[avatar_definition]) ).

fof(f1254,plain,
    ( spl45_185
    | spl45_39 ),
    inference(avatar_split_clause,[],[f268,f503,f1251]) ).

fof(f1256,definition,
    ( spl45_186
  <=> sP32 ),
    introduced(definition,[new_symbols(definition,[spl45_186])],[avatar_definition]) ).

fof(f1259,plain,
    ( spl45_186
    | spl45_31 ),
    inference(avatar_split_clause,[],[f270,f469,f1256]) ).

fof(f1260,plain,
    ( ~ spl45_186
    | ~ spl45_185
    | ~ spl45_26
    | spl45_173 ),
    inference(avatar_split_clause,[],[f318,f1191,f446,f1251,f1256]) ).

fof(f1274,definition,
    ( spl45_189
  <=> sP35 ),
    introduced(definition,[new_symbols(definition,[spl45_189])],[avatar_definition]) ).

fof(f1277,plain,
    ( spl45_189
    | spl45_45 ),
    inference(avatar_split_clause,[],[f276,f528,f1274]) ).

fof(f1278,plain,
    ( ~ spl45_189
    | spl45_10
    | spl45_156
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f321,f446,f1102,f371,f1274]) ).

fof(f1280,definition,
    ( spl45_190
  <=> sP36 ),
    introduced(definition,[new_symbols(definition,[spl45_190])],[avatar_definition]) ).

fof(f1283,plain,
    ( spl45_190
    | spl45_43 ),
    inference(avatar_split_clause,[],[f278,f520,f1280]) ).

fof(f1284,plain,
    ( ~ spl45_190
    | spl45_21
    | spl45_38
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f322,f446,f499,f423,f1280]) ).

fof(f1286,definition,
    ( spl45_191
  <=> sP37 ),
    introduced(definition,[new_symbols(definition,[spl45_191])],[avatar_definition]) ).

fof(f1290,definition,
    ( spl45_192
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl45_192])],[avatar_definition]) ).

fof(f1291,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | ~ c1_1(X76) )
    | ~ spl45_192 ),
    inference(avatar_component_clause,[],[f1290]) ).

fof(f1292,plain,
    ( spl45_191
    | spl45_192 ),
    inference(avatar_split_clause,[],[f280,f1290,f1286]) ).

fof(f1294,definition,
    ( spl45_193
  <=> sP38 ),
    introduced(definition,[new_symbols(definition,[spl45_193])],[avatar_definition]) ).

fof(f1297,plain,
    ( spl45_193
    | spl45_43 ),
    inference(avatar_split_clause,[],[f282,f520,f1294]) ).

fof(f1298,plain,
    ( ~ spl45_193
    | ~ spl45_191
    | spl45_29
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f323,f446,f459,f1286,f1294]) ).

fof(f1300,definition,
    ( spl45_194
  <=> sP39 ),
    introduced(definition,[new_symbols(definition,[spl45_194])],[avatar_definition]) ).

fof(f1303,plain,
    ( spl45_194
    | spl45_35 ),
    inference(avatar_split_clause,[],[f284,f485,f1300]) ).

fof(f1304,plain,
    ( ~ spl45_194
    | spl45_40
    | ~ spl45_26
    | spl45_175 ),
    inference(avatar_split_clause,[],[f324,f1200,f446,f508,f1300]) ).

fof(f1306,definition,
    ( spl45_195
  <=> sP40 ),
    introduced(definition,[new_symbols(definition,[spl45_195])],[avatar_definition]) ).

fof(f1309,plain,
    ( spl45_195
    | spl45_35 ),
    inference(avatar_split_clause,[],[f286,f485,f1306]) ).

fof(f1310,plain,
    ( ~ spl45_195
    | spl45_2
    | ~ spl45_26
    | spl45_175 ),
    inference(avatar_split_clause,[],[f325,f1200,f446,f335,f1306]) ).

fof(f1312,definition,
    ( spl45_196
  <=> sP41 ),
    introduced(definition,[new_symbols(definition,[spl45_196])],[avatar_definition]) ).

fof(f1315,plain,
    ( spl45_196
    | spl45_31 ),
    inference(avatar_split_clause,[],[f288,f469,f1312]) ).

fof(f1316,plain,
    ( ~ spl45_196
    | spl45_15
    | ~ spl45_26
    | spl45_38 ),
    inference(avatar_split_clause,[],[f326,f499,f446,f395,f1312]) ).

fof(f1318,definition,
    ( spl45_197
  <=> sP42 ),
    introduced(definition,[new_symbols(definition,[spl45_197])],[avatar_definition]) ).

fof(f1321,plain,
    ( spl45_197
    | spl45_29 ),
    inference(avatar_split_clause,[],[f290,f459,f1318]) ).

fof(f1322,plain,
    ( ~ spl45_197
    | spl45_25
    | ~ spl45_26
    | spl45_156 ),
    inference(avatar_split_clause,[],[f327,f1102,f446,f442,f1318]) ).

fof(f1330,definition,
    ( spl45_199
  <=> sP44 ),
    introduced(definition,[new_symbols(definition,[spl45_199])],[avatar_definition]) ).

fof(f1333,plain,
    ( spl45_199
    | spl45_31 ),
    inference(avatar_split_clause,[],[f294,f469,f1330]) ).

fof(f1334,plain,
    ( ~ spl45_199
    | spl45_28
    | spl45_192
    | ~ spl45_26 ),
    inference(avatar_split_clause,[],[f329,f446,f1290,f455,f1330]) ).

fof(f1335,plain,
    ( ! [X100] :
        ( ~ c2_1(X100)
        | ~ c1_1(X100) )
    | ~ spl45_27
    | ~ spl45_31 ),
    inference(forward_subsumption_resolution,[],[f470,f451]) ).

fof(f1337,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | c2_1(X90) )
    | ~ spl45_35
    | ~ spl45_37 ),
    inference(forward_subsumption_resolution,[],[f494,f486]) ).

fof(f1338,plain,
    ( ! [X87] :
        ( ~ c2_1(X87)
        | ~ c3_1(X87) )
    | ~ spl45_27
    | ~ spl45_38 ),
    inference(forward_subsumption_resolution,[],[f500,f451]) ).

fof(f1339,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | ~ c1_1(X56) )
    | ~ spl45_29
    | ~ spl45_46 ),
    inference(forward_subsumption_resolution,[],[f533,f460]) ).

fof(f1340,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c1_1(X30) )
    | ~ spl45_39
    | ~ spl45_48 ),
    inference(forward_subsumption_resolution,[],[f542,f504]) ).

fof(f1343,plain,
    ( ! [X32] :
        ( c2_1(X32)
        | c0_1(X32) )
    | ~ spl45_47
    | ~ spl45_167 ),
    inference(forward_subsumption_resolution,[],[f1159,f538]) ).

fof(f1344,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48) )
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(forward_subsumption_resolution,[],[f1215,f1192]) ).

fof(f1345,plain,
    ( ! [X49] :
        ( c2_1(X49)
        | c1_1(X49) )
    | ~ spl45_43
    | ~ spl45_179 ),
    inference(forward_subsumption_resolution,[],[f1219,f521]) ).

fof(f1385,plain,
    ( ~ c1_1(a1682)
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_85 ),
    inference(resolution,[],[f1339,f735]) ).

fof(f1394,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_85
    | ~ spl45_86 ),
    inference(forward_subsumption_resolution,[],[f1385,f740]) ).

fof(f1395,plain,
    ( ~ spl45_29
    | ~ spl45_46
    | ~ spl45_85
    | ~ spl45_86 ),
    inference(avatar_contradiction_clause,[],[f1394]) ).

fof(f1396,plain,
    ( c1_1(a1634)
    | ~ spl45_39
    | ~ spl45_48
    | ~ spl45_142 ),
    inference(resolution,[],[f1340,f1035]) ).

fof(f1412,plain,
    ( c2_1(a1647)
    | ~ spl45_35
    | ~ spl45_37
    | ~ spl45_56 ),
    inference(resolution,[],[f1337,f583]) ).

fof(f1423,plain,
    ( c0_1(a1680)
    | ~ spl45_89
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(resolution,[],[f1344,f756]) ).

fof(f1426,plain,
    ( c0_1(a1709)
    | ~ spl45_68
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(resolution,[],[f1344,f646]) ).

fof(f1429,plain,
    ( $false
    | spl45_66
    | ~ spl45_68
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(forward_subsumption_resolution,[],[f1426,f636]) ).

fof(f1430,plain,
    ( spl45_66
    | ~ spl45_68
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(avatar_contradiction_clause,[],[f1429]) ).

fof(f1431,plain,
    ( spl45_88
    | ~ spl45_89
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(avatar_split_clause,[],[f1423,f1214,f1191,f754,f749]) ).

fof(f1458,plain,
    ( ! [X30] :
        ( c1_1(X30)
        | c0_1(X30) )
    | ~ spl45_48
    | ~ spl45_150 ),
    inference(forward_subsumption_resolution,[],[f542,f1075]) ).

fof(f1462,plain,
    ( c0_1(a1675)
    | ~ spl45_48
    | spl45_90
    | ~ spl45_150 ),
    inference(resolution,[],[f1458,f762]) ).

fof(f1463,plain,
    ( spl45_91
    | ~ spl45_48
    | spl45_90
    | ~ spl45_150 ),
    inference(avatar_split_clause,[],[f1462,f1074,f760,f541,f765]) ).

fof(f1469,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c0_1(X30) )
    | ~ spl45_48
    | ~ spl45_173 ),
    inference(forward_subsumption_resolution,[],[f542,f1192]) ).

fof(f1490,plain,
    ( c0_1(a1638)
    | ~ spl45_48
    | ~ spl45_134
    | ~ spl45_173 ),
    inference(resolution,[],[f1469,f994]) ).

fof(f1492,plain,
    ( c0_1(a1737)
    | ~ spl45_48
    | ~ spl45_64
    | ~ spl45_173 ),
    inference(resolution,[],[f1469,f625]) ).

fof(f1495,plain,
    ( $false
    | ~ spl45_48
    | spl45_63
    | ~ spl45_64
    | ~ spl45_173 ),
    inference(forward_subsumption_resolution,[],[f1492,f620]) ).

fof(f1496,plain,
    ( ~ spl45_48
    | spl45_63
    | ~ spl45_64
    | ~ spl45_173 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1504,plain,
    ( c0_1(a1637)
    | ~ spl45_48
    | ~ spl45_136
    | ~ spl45_173 ),
    inference(resolution,[],[f1004,f1469]) ).

fof(f1507,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56) )
    | ~ spl45_46
    | ~ spl45_49 ),
    inference(forward_subsumption_resolution,[],[f533,f546]) ).

fof(f1508,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | ~ c3_1(X76) )
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1291,f1192]) ).

fof(f1526,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c0_1(X56) )
    | ~ spl45_46
    | ~ spl45_145 ),
    inference(forward_subsumption_resolution,[],[f533,f1049]) ).

fof(f1527,plain,
    ( ~ c3_1(a1637)
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(resolution,[],[f1508,f1009]) ).

fof(f1535,plain,
    ( ~ c3_1(a1635)
    | ~ spl45_61
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(resolution,[],[f1508,f609]) ).

fof(f1536,plain,
    ( ~ c3_1(a1647)
    | ~ spl45_55
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(resolution,[],[f1508,f578]) ).

fof(f1537,plain,
    ( $false
    | ~ spl45_54
    | ~ spl45_55
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1536,f573]) ).

fof(f1538,plain,
    ( ~ spl45_54
    | ~ spl45_55
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1539,plain,
    ( $false
    | ~ spl45_136
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1527,f1004]) ).

fof(f1540,plain,
    ( ~ spl45_136
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f1539]) ).

fof(f1541,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45) )
    | ~ spl45_44
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f1201,f525]) ).

fof(f1543,plain,
    ( c0_1(a1650)
    | ~ spl45_46
    | ~ spl45_110
    | ~ spl45_145 ),
    inference(resolution,[],[f1526,f866]) ).

fof(f1545,plain,
    ( c0_1(a1680)
    | ~ spl45_46
    | ~ spl45_89
    | ~ spl45_145 ),
    inference(resolution,[],[f1526,f756]) ).

fof(f1553,plain,
    ( spl45_88
    | ~ spl45_46
    | ~ spl45_89
    | ~ spl45_145 ),
    inference(avatar_split_clause,[],[f1545,f1048,f754,f532,f749]) ).

fof(f1554,plain,
    ( $false
    | ~ spl45_46
    | spl45_109
    | ~ spl45_110
    | ~ spl45_145 ),
    inference(forward_subsumption_resolution,[],[f1543,f861]) ).

fof(f1555,plain,
    ( ~ spl45_46
    | spl45_109
    | ~ spl45_110
    | ~ spl45_145 ),
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1557,plain,
    ( c1_1(a1634)
    | ~ spl45_44
    | ~ spl45_143
    | ~ spl45_175 ),
    inference(resolution,[],[f1541,f1040]) ).

fof(f1560,plain,
    ( c1_1(a1661)
    | ~ spl45_44
    | ~ spl45_101
    | ~ spl45_175 ),
    inference(resolution,[],[f1541,f819]) ).

fof(f1570,plain,
    ( $false
    | ~ spl45_44
    | spl45_141
    | ~ spl45_143
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f1557,f1030]) ).

fof(f1571,plain,
    ( ~ spl45_44
    | spl45_141
    | ~ spl45_143
    | ~ spl45_175 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1616,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77) )
    | ~ spl45_38
    | ~ spl45_43 ),
    inference(forward_subsumption_resolution,[],[f521,f500]) ).

fof(f1691,plain,
    ( spl45_133
    | ~ spl45_48
    | ~ spl45_134
    | ~ spl45_173 ),
    inference(avatar_split_clause,[],[f1490,f1191,f992,f541,f987]) ).

fof(f1693,plain,
    ( spl45_135
    | ~ spl45_48
    | ~ spl45_136
    | ~ spl45_173 ),
    inference(avatar_split_clause,[],[f1504,f1191,f1002,f541,f997]) ).

fof(f1726,plain,
    ( c3_1(a1641)
    | ~ c1_1(a1641)
    | ~ spl45_31
    | ~ spl45_125 ),
    inference(resolution,[],[f470,f946]) ).

fof(f1733,plain,
    ( c3_1(a1682)
    | ~ c1_1(a1682)
    | ~ spl45_31
    | ~ spl45_85 ),
    inference(resolution,[],[f470,f735]) ).

fof(f1738,plain,
    ( c3_1(a1635)
    | ~ c1_1(a1635)
    | ~ spl45_31
    | ~ spl45_60 ),
    inference(resolution,[],[f470,f604]) ).

fof(f1743,definition,
    ( spl45_200
  <=> c1_1(a1737) ),
    introduced(definition,[new_symbols(definition,[spl45_200])],[avatar_definition]) ).

fof(f1744,plain,
    ( c1_1(a1737)
    | ~ spl45_200 ),
    inference(avatar_component_clause,[],[f1743]) ).

fof(f1748,plain,
    ( ~ c1_1(a1682)
    | ~ spl45_31
    | spl45_84
    | ~ spl45_85 ),
    inference(forward_subsumption_resolution,[],[f1733,f730]) ).

fof(f1752,plain,
    ( ~ c1_1(a1641)
    | ~ spl45_31
    | spl45_123
    | ~ spl45_125 ),
    inference(forward_subsumption_resolution,[],[f1726,f936]) ).

fof(f1753,plain,
    ( $false
    | ~ spl45_31
    | spl45_84
    | ~ spl45_85
    | ~ spl45_86 ),
    inference(forward_subsumption_resolution,[],[f1748,f740]) ).

fof(f1754,plain,
    ( ~ spl45_31
    | spl45_84
    | ~ spl45_85
    | ~ spl45_86 ),
    inference(avatar_contradiction_clause,[],[f1753]) ).

fof(f1758,plain,
    ( spl45_141
    | ~ spl45_39
    | ~ spl45_48
    | ~ spl45_142 ),
    inference(avatar_split_clause,[],[f1396,f1033,f541,f503,f1028]) ).

fof(f1777,plain,
    ( c0_1(a1641)
    | ~ spl45_46
    | ~ spl45_49
    | ~ spl45_125 ),
    inference(resolution,[],[f1507,f946]) ).

fof(f1812,plain,
    ( c1_1(a1634)
    | ~ spl45_38
    | ~ spl45_43
    | ~ spl45_142 ),
    inference(resolution,[],[f1616,f1035]) ).

fof(f1815,plain,
    ( c1_1(a1639)
    | ~ spl45_38
    | ~ spl45_43
    | ~ spl45_131 ),
    inference(resolution,[],[f1616,f978]) ).

fof(f1835,plain,
    ( $false
    | ~ spl45_38
    | ~ spl45_43
    | spl45_130
    | ~ spl45_131 ),
    inference(forward_subsumption_resolution,[],[f1815,f973]) ).

fof(f1836,plain,
    ( ~ spl45_38
    | ~ spl45_43
    | spl45_130
    | ~ spl45_131 ),
    inference(avatar_contradiction_clause,[],[f1835]) ).

fof(f1839,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | ~ c0_1(X76) )
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1291,f1103]) ).

fof(f1895,plain,
    ( c3_1(a1648)
    | ~ c0_1(a1648)
    | ~ spl45_32
    | ~ spl45_112 ),
    inference(resolution,[],[f474,f877]) ).

fof(f1920,plain,
    ( ! [X17] :
        ( ~ c2_1(X17)
        | ~ c3_1(X17) )
    | ~ spl45_46
    | ~ spl45_49
    | ~ spl45_158 ),
    inference(forward_subsumption_resolution,[],[f1111,f1507]) ).

fof(f1964,plain,
    ( ~ c0_1(a1653)
    | ~ spl45_106
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(resolution,[],[f1839,f845]) ).

fof(f1967,plain,
    ( ~ c0_1(a1689)
    | ~ spl45_82
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(resolution,[],[f1839,f719]) ).

fof(f1969,plain,
    ( ~ c0_1(a1647)
    | ~ spl45_55
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(resolution,[],[f1839,f578]) ).

fof(f1970,plain,
    ( $false
    | ~ spl45_55
    | ~ spl45_56
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1969,f583]) ).

fof(f1971,plain,
    ( ~ spl45_55
    | ~ spl45_56
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1974,plain,
    ( $false
    | ~ spl45_82
    | ~ spl45_83
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1967,f724]) ).

fof(f1975,plain,
    ( ~ spl45_82
    | ~ spl45_83
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1978,plain,
    ( $false
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1964,f850]) ).

fof(f1979,plain,
    ( ~ spl45_106
    | ~ spl45_107
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f1978]) ).

fof(f1996,plain,
    ( ~ c1_1(a1646)
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_58 ),
    inference(resolution,[],[f1339,f594]) ).

fof(f1997,plain,
    ( ~ c1_1(a1647)
    | ~ spl45_29
    | ~ spl45_35
    | ~ spl45_37
    | ~ spl45_46
    | ~ spl45_56 ),
    inference(resolution,[],[f1339,f1412]) ).

fof(f1999,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_35
    | ~ spl45_37
    | ~ spl45_46
    | ~ spl45_55
    | ~ spl45_56 ),
    inference(forward_subsumption_resolution,[],[f1997,f578]) ).

fof(f2000,plain,
    ( ~ spl45_29
    | ~ spl45_35
    | ~ spl45_37
    | ~ spl45_46
    | ~ spl45_55
    | ~ spl45_56 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f2010,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76) )
    | ~ spl45_39
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f1291,f504]) ).

fof(f2046,plain,
    ( ~ spl45_59
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_58 ),
    inference(avatar_split_clause,[],[f1996,f592,f532,f459,f597]) ).

fof(f2052,plain,
    ( spl45_124
    | ~ spl45_46
    | ~ spl45_49
    | ~ spl45_125 ),
    inference(avatar_split_clause,[],[f1777,f944,f545,f532,f939]) ).

fof(f2064,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | ~ c0_1(X45) )
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f1201,f1339]) ).

fof(f2199,plain,
    ( spl45_141
    | ~ spl45_38
    | ~ spl45_43
    | ~ spl45_142 ),
    inference(avatar_split_clause,[],[f1812,f1033,f520,f499,f1028]) ).

fof(f2214,plain,
    ( ! [X39] :
        ( c2_1(X39)
        | c3_1(X39) )
    | ~ spl45_37
    | ~ spl45_47 ),
    inference(forward_subsumption_resolution,[],[f538,f494]) ).

fof(f2240,plain,
    ( c3_1(a1643)
    | ~ spl45_37
    | ~ spl45_47
    | spl45_118 ),
    inference(resolution,[],[f2214,f909]) ).

fof(f2242,plain,
    ( $false
    | ~ spl45_37
    | ~ spl45_47
    | spl45_117
    | spl45_118 ),
    inference(forward_subsumption_resolution,[],[f2240,f904]) ).

fof(f2243,plain,
    ( ~ spl45_37
    | ~ spl45_47
    | spl45_117
    | spl45_118 ),
    inference(avatar_contradiction_clause,[],[f2242]) ).

fof(f2248,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c0_1(X103) )
    | ~ spl45_29
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f460,f1084]) ).

fof(f2249,plain,
    ( ! [X95] :
        ( ~ c0_1(X95)
        | c3_1(X95) )
    | ~ spl45_32
    | ~ spl45_37 ),
    inference(forward_subsumption_resolution,[],[f474,f494]) ).

fof(f2250,plain,
    ( c3_1(a1648)
    | ~ spl45_32
    | ~ spl45_112
    | ~ spl45_113 ),
    inference(forward_subsumption_resolution,[],[f1895,f882]) ).

fof(f2254,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f1049,f1084]) ).

fof(f2277,plain,
    ( ~ c0_1(a1653)
    | ~ spl45_29
    | ~ spl45_106
    | ~ spl45_152 ),
    inference(resolution,[],[f2248,f845]) ).

fof(f2279,plain,
    ( ~ c0_1(a1689)
    | ~ spl45_29
    | ~ spl45_82
    | ~ spl45_152 ),
    inference(resolution,[],[f2248,f719]) ).

fof(f2288,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_82
    | ~ spl45_83
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f2279,f724]) ).

fof(f2289,plain,
    ( ~ spl45_29
    | ~ spl45_82
    | ~ spl45_83
    | ~ spl45_152 ),
    inference(avatar_contradiction_clause,[],[f2288]) ).

fof(f2290,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f2277,f850]) ).

fof(f2291,plain,
    ( ~ spl45_29
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_152 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2327,plain,
    ( spl45_100
    | ~ spl45_44
    | ~ spl45_101
    | ~ spl45_175 ),
    inference(avatar_split_clause,[],[f1560,f1200,f817,f524,f812]) ).

fof(f2361,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | ~ c0_1(X45) )
    | ~ spl45_29
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f1201,f460]) ).

fof(f2435,plain,
    ( c1_1(a1636)
    | ~ spl45_43
    | spl45_138
    | ~ spl45_179 ),
    inference(resolution,[],[f1345,f1014]) ).

fof(f2442,plain,
    ( $false
    | ~ spl45_43
    | spl45_138
    | spl45_139
    | ~ spl45_179 ),
    inference(forward_subsumption_resolution,[],[f2435,f1019]) ).

fof(f2443,plain,
    ( ~ spl45_43
    | spl45_138
    | spl45_139
    | ~ spl45_179 ),
    inference(avatar_contradiction_clause,[],[f2442]) ).

fof(f2473,plain,
    ( c3_1(a1661)
    | ~ spl45_32
    | ~ spl45_37
    | ~ spl45_101 ),
    inference(resolution,[],[f2249,f819]) ).

fof(f2545,plain,
    ( ~ c3_1(a1691)
    | c1_1(a1691)
    | ~ spl45_38
    | ~ spl45_80 ),
    inference(resolution,[],[f500,f708]) ).

fof(f2547,plain,
    ( ~ c3_1(a1737)
    | c1_1(a1737)
    | ~ spl45_38
    | ~ spl45_65 ),
    inference(resolution,[],[f500,f630]) ).

fof(f2557,plain,
    ( ~ c3_1(a1737)
    | c0_1(a1737)
    | ~ spl45_45
    | ~ spl45_65 ),
    inference(resolution,[],[f529,f630]) ).

fof(f2562,plain,
    ( c0_1(a1737)
    | ~ spl45_45
    | ~ spl45_64
    | ~ spl45_65 ),
    inference(forward_subsumption_resolution,[],[f2557,f625]) ).

fof(f2567,plain,
    ( $false
    | ~ spl45_45
    | spl45_63
    | ~ spl45_64
    | ~ spl45_65 ),
    inference(forward_subsumption_resolution,[],[f2562,f620]) ).

fof(f2568,plain,
    ( ~ spl45_45
    | spl45_63
    | ~ spl45_64
    | ~ spl45_65 ),
    inference(avatar_contradiction_clause,[],[f2567]) ).

fof(f2576,plain,
    ( c0_1(a1709)
    | ~ c1_1(a1709)
    | ~ spl45_46
    | ~ spl45_67 ),
    inference(resolution,[],[f533,f641]) ).

fof(f2577,plain,
    ( c0_1(a1737)
    | ~ c1_1(a1737)
    | ~ spl45_46
    | ~ spl45_65 ),
    inference(resolution,[],[f533,f630]) ).

fof(f2581,plain,
    ( ~ c1_1(a1737)
    | ~ spl45_46
    | spl45_63
    | ~ spl45_65 ),
    inference(forward_subsumption_resolution,[],[f2577,f620]) ).

fof(f2582,plain,
    ( ~ c1_1(a1709)
    | ~ spl45_46
    | spl45_66
    | ~ spl45_67 ),
    inference(forward_subsumption_resolution,[],[f2576,f636]) ).

fof(f2585,plain,
    ( $false
    | ~ spl45_46
    | spl45_63
    | ~ spl45_65
    | ~ spl45_200 ),
    inference(forward_subsumption_resolution,[],[f2581,f1744]) ).

fof(f2586,plain,
    ( ~ spl45_46
    | spl45_63
    | ~ spl45_65
    | ~ spl45_200 ),
    inference(avatar_contradiction_clause,[],[f2585]) ).

fof(f2587,plain,
    ( $false
    | ~ spl45_46
    | spl45_66
    | ~ spl45_67
    | ~ spl45_68 ),
    inference(forward_subsumption_resolution,[],[f2582,f646]) ).

fof(f2588,plain,
    ( ~ spl45_46
    | spl45_66
    | ~ spl45_67
    | ~ spl45_68 ),
    inference(avatar_contradiction_clause,[],[f2587]) ).

fof(f2598,plain,
    ( ~ c3_1(a1667)
    | c1_1(a1667)
    | ~ spl45_38
    | ~ spl45_94 ),
    inference(resolution,[],[f783,f500]) ).

fof(f2604,plain,
    ( c0_1(a1638)
    | c1_1(a1638)
    | ~ spl45_48
    | ~ spl45_134 ),
    inference(resolution,[],[f542,f994]) ).

fof(f2609,plain,
    ( c0_1(a1701)
    | c1_1(a1701)
    | ~ spl45_48
    | ~ spl45_71 ),
    inference(resolution,[],[f542,f662]) ).

fof(f2615,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl45_38
    | ~ spl45_50 ),
    inference(resolution,[],[f551,f500]) ).

fof(f2616,plain,
    ( c0_1(a1636)
    | c1_1(a1636)
    | ~ spl45_50
    | spl45_138 ),
    inference(resolution,[],[f551,f1014]) ).

fof(f2628,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl45_38
    | ~ spl45_50 ),
    inference(duplicate_literal_removal,[],[f2615]) ).

fof(f2658,plain,
    ( ~ c3_1(a1691)
    | ~ spl45_27
    | ~ spl45_38
    | ~ spl45_80 ),
    inference(resolution,[],[f1338,f708]) ).

fof(f2667,plain,
    ( $false
    | ~ spl45_27
    | ~ spl45_38
    | ~ spl45_79
    | ~ spl45_80 ),
    inference(forward_subsumption_resolution,[],[f2658,f703]) ).

fof(f2668,plain,
    ( ~ spl45_27
    | ~ spl45_38
    | ~ spl45_79
    | ~ spl45_80 ),
    inference(avatar_contradiction_clause,[],[f2667]) ).

fof(f2669,plain,
    ( c2_1(a1642)
    | c3_1(a1642)
    | ~ spl45_37
    | ~ spl45_122 ),
    inference(resolution,[],[f930,f494]) ).

fof(f2670,plain,
    ( c3_1(a1642)
    | ~ spl45_37
    | spl45_121
    | ~ spl45_122 ),
    inference(forward_subsumption_resolution,[],[f2669,f925]) ).

fof(f2704,plain,
    ( c0_1(a1639)
    | c1_1(a1639)
    | ~ spl45_48
    | ~ spl45_131 ),
    inference(resolution,[],[f978,f542]) ).

fof(f2734,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | c1_1(X6) )
    | ~ spl45_44
    | ~ spl45_50 ),
    inference(forward_subsumption_resolution,[],[f551,f525]) ).

fof(f2735,plain,
    ( c0_1(a1636)
    | ~ spl45_50
    | spl45_138
    | spl45_139 ),
    inference(forward_subsumption_resolution,[],[f2616,f1019]) ).

fof(f2747,plain,
    ( c0_1(a1639)
    | ~ spl45_48
    | spl45_130
    | ~ spl45_131 ),
    inference(forward_subsumption_resolution,[],[f2704,f973]) ).

fof(f2748,plain,
    ( c1_1(a1638)
    | ~ spl45_48
    | spl45_133
    | ~ spl45_134 ),
    inference(forward_subsumption_resolution,[],[f2604,f989]) ).

fof(f2797,plain,
    ( c1_1(a1699)
    | ~ spl45_44
    | ~ spl45_50
    | spl45_73 ),
    inference(resolution,[],[f2734,f673]) ).

fof(f2801,plain,
    ( $false
    | ~ spl45_44
    | ~ spl45_50
    | spl45_73
    | spl45_74 ),
    inference(forward_subsumption_resolution,[],[f2797,f678]) ).

fof(f2802,plain,
    ( ~ spl45_44
    | ~ spl45_50
    | spl45_73
    | spl45_74 ),
    inference(avatar_contradiction_clause,[],[f2801]) ).

fof(f2837,plain,
    ( c0_1(a1650)
    | c3_1(a1650)
    | ~ spl45_110
    | ~ spl45_178 ),
    inference(resolution,[],[f1215,f866]) ).

fof(f2849,plain,
    ( c3_1(a1650)
    | spl45_109
    | ~ spl45_110
    | ~ spl45_178 ),
    inference(forward_subsumption_resolution,[],[f2837,f861]) ).

fof(f2853,plain,
    ( $false
    | spl45_108
    | spl45_109
    | ~ spl45_110
    | ~ spl45_178 ),
    inference(forward_subsumption_resolution,[],[f2849,f856]) ).

fof(f2854,plain,
    ( spl45_108
    | spl45_109
    | ~ spl45_110
    | ~ spl45_178 ),
    inference(avatar_contradiction_clause,[],[f2853]) ).

fof(f2857,plain,
    ( c3_1(a1643)
    | ~ c0_1(a1643)
    | ~ spl45_119
    | ~ spl45_156 ),
    inference(resolution,[],[f1103,f914]) ).

fof(f2859,plain,
    ( c3_1(a1653)
    | ~ c0_1(a1653)
    | ~ spl45_106
    | ~ spl45_156 ),
    inference(resolution,[],[f1103,f845]) ).

fof(f2868,plain,
    ( ~ c0_1(a1653)
    | spl45_105
    | ~ spl45_106
    | ~ spl45_156 ),
    inference(forward_subsumption_resolution,[],[f2859,f840]) ).

fof(f2869,plain,
    ( ~ c0_1(a1643)
    | spl45_117
    | ~ spl45_119
    | ~ spl45_156 ),
    inference(forward_subsumption_resolution,[],[f2857,f904]) ).

fof(f2870,plain,
    ( $false
    | spl45_105
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_156 ),
    inference(forward_subsumption_resolution,[],[f2868,f850]) ).

fof(f2871,plain,
    ( spl45_105
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_156 ),
    inference(avatar_contradiction_clause,[],[f2870]) ).

fof(f2872,plain,
    ( c1_1(a1701)
    | ~ spl45_48
    | spl45_70
    | ~ spl45_71 ),
    inference(forward_subsumption_resolution,[],[f2609,f657]) ).

fof(f2877,definition,
    ( spl45_203
  <=> c3_1(a1635) ),
    introduced(definition,[new_symbols(definition,[spl45_203])],[avatar_definition]) ).

fof(f2878,plain,
    ( ~ c3_1(a1635)
    | spl45_203 ),
    inference(avatar_component_clause,[],[f2877]) ).

fof(f2879,plain,
    ( c3_1(a1635)
    | ~ spl45_203 ),
    inference(avatar_component_clause,[],[f2877]) ).

fof(f2889,plain,
    ( c0_1(a1637)
    | ~ spl45_46
    | ~ spl45_137
    | ~ spl45_145 ),
    inference(resolution,[],[f1526,f1009]) ).

fof(f2899,plain,
    ( $false
    | ~ spl45_46
    | spl45_135
    | ~ spl45_137
    | ~ spl45_145 ),
    inference(forward_subsumption_resolution,[],[f2889,f999]) ).

fof(f2900,plain,
    ( ~ spl45_46
    | spl45_135
    | ~ spl45_137
    | ~ spl45_145 ),
    inference(avatar_contradiction_clause,[],[f2899]) ).

fof(f2918,plain,
    ( spl45_48
    | ~ spl45_38
    | ~ spl45_50 ),
    inference(avatar_split_clause,[],[f2628,f550,f499,f541]) ).

fof(f2920,plain,
    ( spl45_140
    | ~ spl45_50
    | spl45_138
    | spl45_139 ),
    inference(avatar_split_clause,[],[f2735,f1017,f1012,f550,f1022]) ).

fof(f2952,plain,
    ( spl45_69
    | ~ spl45_48
    | spl45_70
    | ~ spl45_71 ),
    inference(avatar_split_clause,[],[f2872,f660,f655,f541,f650]) ).

fof(f2966,plain,
    ( c1_1(a1737)
    | ~ spl45_38
    | ~ spl45_64
    | ~ spl45_65 ),
    inference(forward_subsumption_resolution,[],[f2547,f625]) ).

fof(f2967,plain,
    ( c1_1(a1691)
    | ~ spl45_38
    | ~ spl45_79
    | ~ spl45_80 ),
    inference(forward_subsumption_resolution,[],[f2545,f703]) ).

fof(f2968,plain,
    ( ~ c1_1(a1635)
    | ~ spl45_31
    | ~ spl45_60
    | spl45_203 ),
    inference(forward_subsumption_resolution,[],[f1738,f2878]) ).

fof(f2989,plain,
    ( c0_1(a1636)
    | ~ spl45_47
    | spl45_138
    | ~ spl45_167 ),
    inference(resolution,[],[f1343,f1014]) ).

fof(f2997,plain,
    ( c0_1(a1680)
    | ~ spl45_47
    | spl45_87
    | ~ spl45_167 ),
    inference(resolution,[],[f1343,f746]) ).

fof(f3006,plain,
    ( spl45_140
    | ~ spl45_47
    | spl45_138
    | ~ spl45_167 ),
    inference(avatar_split_clause,[],[f2989,f1158,f1012,f537,f1022]) ).

fof(f3050,plain,
    ( c1_1(a1664)
    | c2_1(a1664)
    | ~ spl45_44
    | ~ spl45_98 ),
    inference(resolution,[],[f525,f803]) ).

fof(f3062,plain,
    ( c2_1(a1664)
    | ~ spl45_44
    | spl45_97
    | ~ spl45_98 ),
    inference(forward_subsumption_resolution,[],[f3050,f798]) ).

fof(f3070,plain,
    ( $false
    | ~ spl45_44
    | spl45_96
    | spl45_97
    | ~ spl45_98 ),
    inference(forward_subsumption_resolution,[],[f3062,f793]) ).

fof(f3071,plain,
    ( ~ spl45_44
    | spl45_96
    | spl45_97
    | ~ spl45_98 ),
    inference(avatar_contradiction_clause,[],[f3070]) ).

fof(f3084,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | ~ c0_1(X91) )
    | ~ spl45_35
    | ~ spl45_158 ),
    inference(forward_subsumption_resolution,[],[f486,f1111]) ).

fof(f3103,plain,
    ( ~ c1_1(a1646)
    | ~ spl45_27
    | ~ spl45_31
    | ~ spl45_58 ),
    inference(resolution,[],[f1335,f594]) ).

fof(f3113,plain,
    ( ~ c0_1(a1634)
    | ~ spl45_35
    | ~ spl45_142
    | ~ spl45_158 ),
    inference(resolution,[],[f3084,f1035]) ).

fof(f3115,plain,
    ( ~ c0_1(a1639)
    | ~ spl45_35
    | ~ spl45_131
    | ~ spl45_158 ),
    inference(resolution,[],[f3084,f978]) ).

fof(f3120,plain,
    ( ~ c0_1(a1647)
    | ~ spl45_35
    | ~ spl45_54
    | ~ spl45_158 ),
    inference(resolution,[],[f3084,f573]) ).

fof(f3121,plain,
    ( $false
    | ~ spl45_35
    | ~ spl45_54
    | ~ spl45_56
    | ~ spl45_158 ),
    inference(forward_subsumption_resolution,[],[f3120,f583]) ).

fof(f3122,plain,
    ( ~ spl45_35
    | ~ spl45_54
    | ~ spl45_56
    | ~ spl45_158 ),
    inference(avatar_contradiction_clause,[],[f3121]) ).

fof(f3129,plain,
    ( $false
    | ~ spl45_35
    | ~ spl45_48
    | spl45_130
    | ~ spl45_131
    | ~ spl45_158 ),
    inference(forward_subsumption_resolution,[],[f3115,f2747]) ).

fof(f3130,plain,
    ( ~ spl45_35
    | ~ spl45_48
    | spl45_130
    | ~ spl45_131
    | ~ spl45_158 ),
    inference(avatar_contradiction_clause,[],[f3129]) ).

fof(f3131,plain,
    ( $false
    | ~ spl45_35
    | ~ spl45_142
    | ~ spl45_143
    | ~ spl45_158 ),
    inference(forward_subsumption_resolution,[],[f3113,f1040]) ).

fof(f3132,plain,
    ( ~ spl45_35
    | ~ spl45_142
    | ~ spl45_143
    | ~ spl45_158 ),
    inference(avatar_contradiction_clause,[],[f3131]) ).

fof(f3135,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl45_31
    | ~ spl45_47 ),
    inference(resolution,[],[f538,f470]) ).

fof(f3136,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl45_46
    | ~ spl45_47 ),
    inference(resolution,[],[f538,f533]) ).

fof(f3143,plain,
    ( c3_1(a1643)
    | c0_1(a1643)
    | ~ spl45_47
    | spl45_118 ),
    inference(resolution,[],[f538,f909]) ).

fof(f3149,plain,
    ( c3_1(a1697)
    | c0_1(a1697)
    | ~ spl45_47
    | spl45_76 ),
    inference(resolution,[],[f538,f688]) ).

fof(f3153,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl45_46
    | ~ spl45_47 ),
    inference(duplicate_literal_removal,[],[f3136]) ).

fof(f3154,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl45_31
    | ~ spl45_47 ),
    inference(duplicate_literal_removal,[],[f3135]) ).

fof(f3158,plain,
    ( c0_1(a1643)
    | ~ spl45_47
    | spl45_117
    | spl45_118 ),
    inference(forward_subsumption_resolution,[],[f3143,f904]) ).

fof(f3160,plain,
    ( spl45_178
    | ~ spl45_46
    | ~ spl45_47 ),
    inference(avatar_split_clause,[],[f3153,f537,f532,f1214]) ).

fof(f3161,plain,
    ( spl45_178
    | ~ spl45_31
    | ~ spl45_47 ),
    inference(avatar_split_clause,[],[f3154,f537,f469,f1214]) ).

fof(f3163,plain,
    ( ~ c3_1(a1667)
    | ~ spl45_38
    | spl45_93
    | ~ spl45_94 ),
    inference(forward_subsumption_resolution,[],[f2598,f778]) ).

fof(f3180,plain,
    ( c0_1(a1637)
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(resolution,[],[f1344,f1009]) ).

fof(f3188,plain,
    ( $false
    | spl45_135
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(forward_subsumption_resolution,[],[f3180,f999]) ).

fof(f3189,plain,
    ( spl45_135
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(avatar_contradiction_clause,[],[f3188]) ).

fof(f3201,plain,
    ( ~ c0_1(a1648)
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_112
    | ~ spl45_175 ),
    inference(resolution,[],[f2064,f877]) ).

fof(f3215,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_112
    | ~ spl45_113
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f3201,f882]) ).

fof(f3216,plain,
    ( ~ spl45_29
    | ~ spl45_46
    | ~ spl45_112
    | ~ spl45_113
    | ~ spl45_175 ),
    inference(avatar_contradiction_clause,[],[f3215]) ).

fof(f3218,plain,
    ( ~ spl45_59
    | ~ spl45_27
    | ~ spl45_31
    | ~ spl45_58 ),
    inference(avatar_split_clause,[],[f3103,f592,f469,f450,f597]) ).

fof(f3265,plain,
    ( ~ c3_1(a1646)
    | ~ spl45_46
    | ~ spl45_49
    | ~ spl45_58
    | ~ spl45_158 ),
    inference(resolution,[],[f1920,f594]) ).

fof(f3267,plain,
    ( $false
    | ~ spl45_46
    | ~ spl45_49
    | ~ spl45_57
    | ~ spl45_58
    | ~ spl45_158 ),
    inference(forward_subsumption_resolution,[],[f3265,f589]) ).

fof(f3268,plain,
    ( ~ spl45_46
    | ~ spl45_49
    | ~ spl45_57
    | ~ spl45_58
    | ~ spl45_158 ),
    inference(avatar_contradiction_clause,[],[f3267]) ).

fof(f3274,plain,
    ( spl45_78
    | ~ spl45_38
    | ~ spl45_79
    | ~ spl45_80 ),
    inference(avatar_split_clause,[],[f2967,f706,f701,f499,f696]) ).

fof(f3285,plain,
    ( c0_1(a1697)
    | ~ spl45_47
    | spl45_75
    | spl45_76 ),
    inference(forward_subsumption_resolution,[],[f3149,f683]) ).

fof(f3289,plain,
    ( $false
    | ~ spl45_61
    | ~ spl45_173
    | ~ spl45_192
    | ~ spl45_203 ),
    inference(forward_subsumption_resolution,[],[f1535,f2879]) ).

fof(f3290,plain,
    ( ~ spl45_61
    | ~ spl45_173
    | ~ spl45_192
    | ~ spl45_203 ),
    inference(avatar_contradiction_clause,[],[f3289]) ).

fof(f3292,plain,
    ( $false
    | ~ spl45_47
    | spl45_75
    | spl45_76
    | spl45_77 ),
    inference(forward_subsumption_resolution,[],[f3285,f693]) ).

fof(f3293,plain,
    ( ~ spl45_47
    | spl45_75
    | spl45_76
    | spl45_77 ),
    inference(avatar_contradiction_clause,[],[f3292]) ).

fof(f3302,plain,
    ( ~ c3_1(a1646)
    | ~ spl45_59
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(resolution,[],[f1508,f599]) ).

fof(f3304,plain,
    ( $false
    | ~ spl45_57
    | ~ spl45_59
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f3302,f589]) ).

fof(f3305,plain,
    ( ~ spl45_57
    | ~ spl45_59
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f3304]) ).

fof(f3320,plain,
    ( spl45_111
    | ~ spl45_32
    | ~ spl45_112
    | ~ spl45_113 ),
    inference(avatar_split_clause,[],[f2250,f880,f875,f473,f870]) ).

fof(f3349,plain,
    ( $false
    | ~ spl45_47
    | spl45_87
    | spl45_88
    | ~ spl45_167 ),
    inference(forward_subsumption_resolution,[],[f2997,f751]) ).

fof(f3350,plain,
    ( ~ spl45_47
    | spl45_87
    | spl45_88
    | ~ spl45_167 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3367,plain,
    ( ~ c0_1(a1643)
    | ~ spl45_39
    | ~ spl45_119
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f2857,f2010]) ).

fof(f3370,plain,
    ( $false
    | ~ spl45_39
    | ~ spl45_47
    | spl45_117
    | spl45_118
    | ~ spl45_119
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(forward_subsumption_resolution,[],[f3367,f3158]) ).

fof(f3371,plain,
    ( ~ spl45_39
    | ~ spl45_47
    | spl45_117
    | spl45_118
    | ~ spl45_119
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(avatar_contradiction_clause,[],[f3370]) ).

fof(f3389,plain,
    ( ~ spl45_61
    | ~ spl45_31
    | ~ spl45_60
    | spl45_203 ),
    inference(avatar_split_clause,[],[f2968,f2877,f602,f469,f607]) ).

fof(f3433,plain,
    ( spl45_200
    | ~ spl45_38
    | ~ spl45_64
    | ~ spl45_65 ),
    inference(avatar_split_clause,[],[f2966,f628,f623,f499,f1743]) ).

fof(f3472,plain,
    ( ~ c0_1(a1648)
    | ~ spl45_29
    | ~ spl45_112
    | ~ spl45_175 ),
    inference(resolution,[],[f2361,f877]) ).

fof(f3473,plain,
    ( ~ c0_1(a1667)
    | ~ spl45_29
    | ~ spl45_94
    | ~ spl45_175 ),
    inference(resolution,[],[f2361,f783]) ).

fof(f3479,plain,
    ( ~ c0_1(a1635)
    | ~ spl45_29
    | ~ spl45_60
    | ~ spl45_175 ),
    inference(resolution,[],[f2361,f604]) ).

fof(f3484,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_60
    | ~ spl45_62
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f3479,f614]) ).

fof(f3485,plain,
    ( ~ spl45_29
    | ~ spl45_60
    | ~ spl45_62
    | ~ spl45_175 ),
    inference(avatar_contradiction_clause,[],[f3484]) ).

fof(f3490,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_94
    | ~ spl45_95
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f3473,f788]) ).

fof(f3491,plain,
    ( ~ spl45_29
    | ~ spl45_94
    | ~ spl45_95
    | ~ spl45_175 ),
    inference(avatar_contradiction_clause,[],[f3490]) ).

fof(f3492,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_112
    | ~ spl45_113
    | ~ spl45_175 ),
    inference(forward_subsumption_resolution,[],[f3472,f882]) ).

fof(f3493,plain,
    ( ~ spl45_29
    | ~ spl45_112
    | ~ spl45_113
    | ~ spl45_175 ),
    inference(avatar_contradiction_clause,[],[f3492]) ).

fof(f3534,plain,
    ( ~ c0_1(a1635)
    | ~ c1_1(a1635)
    | ~ spl45_29
    | ~ spl45_60 ),
    inference(resolution,[],[f460,f604]) ).

fof(f3538,plain,
    ( ~ c1_1(a1635)
    | ~ spl45_29
    | ~ spl45_60
    | ~ spl45_62 ),
    inference(forward_subsumption_resolution,[],[f3534,f614]) ).

fof(f3545,plain,
    ( $false
    | ~ spl45_29
    | ~ spl45_60
    | ~ spl45_61
    | ~ spl45_62 ),
    inference(forward_subsumption_resolution,[],[f3538,f609]) ).

fof(f3546,plain,
    ( ~ spl45_29
    | ~ spl45_60
    | ~ spl45_61
    | ~ spl45_62 ),
    inference(avatar_contradiction_clause,[],[f3545]) ).

fof(f3596,plain,
    ( c3_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl45_32
    | ~ spl45_94 ),
    inference(resolution,[],[f474,f783]) ).

fof(f3600,plain,
    ( ~ c0_1(a1667)
    | ~ spl45_32
    | ~ spl45_38
    | spl45_93
    | ~ spl45_94 ),
    inference(forward_subsumption_resolution,[],[f3596,f3163]) ).

fof(f3601,plain,
    ( $false
    | ~ spl45_32
    | ~ spl45_38
    | spl45_93
    | ~ spl45_94
    | ~ spl45_95 ),
    inference(forward_subsumption_resolution,[],[f3600,f788]) ).

fof(f3602,plain,
    ( ~ spl45_32
    | ~ spl45_38
    | spl45_93
    | ~ spl45_94
    | ~ spl45_95 ),
    inference(avatar_contradiction_clause,[],[f3601]) ).

fof(f3638,plain,
    ( c0_1(a1641)
    | c1_1(a1641)
    | ~ spl45_49
    | ~ spl45_125 ),
    inference(resolution,[],[f546,f946]) ).

fof(f3641,plain,
    ( c0_1(a1675)
    | c1_1(a1675)
    | ~ spl45_49
    | ~ spl45_92 ),
    inference(resolution,[],[f546,f772]) ).

fof(f3647,plain,
    ( c1_1(a1675)
    | ~ spl45_49
    | spl45_91
    | ~ spl45_92 ),
    inference(forward_subsumption_resolution,[],[f3641,f767]) ).

fof(f3649,plain,
    ( c1_1(a1641)
    | ~ spl45_49
    | spl45_124
    | ~ spl45_125 ),
    inference(forward_subsumption_resolution,[],[f3638,f941]) ).

fof(f3654,plain,
    ( $false
    | ~ spl45_49
    | spl45_90
    | spl45_91
    | ~ spl45_92 ),
    inference(forward_subsumption_resolution,[],[f3647,f762]) ).

fof(f3655,plain,
    ( ~ spl45_49
    | spl45_90
    | spl45_91
    | ~ spl45_92 ),
    inference(avatar_contradiction_clause,[],[f3654]) ).

fof(f3658,plain,
    ( $false
    | ~ spl45_31
    | ~ spl45_49
    | spl45_123
    | spl45_124
    | ~ spl45_125 ),
    inference(forward_subsumption_resolution,[],[f3649,f1752]) ).

fof(f3659,plain,
    ( ~ spl45_31
    | ~ spl45_49
    | spl45_123
    | spl45_124
    | ~ spl45_125 ),
    inference(avatar_contradiction_clause,[],[f3658]) ).

fof(f3700,plain,
    ( c2_1(a1640)
    | ~ c0_1(a1640)
    | ~ spl45_35
    | ~ spl45_127 ),
    inference(resolution,[],[f486,f957]) ).

fof(f3713,plain,
    ( ~ c0_1(a1640)
    | ~ spl45_35
    | spl45_126
    | ~ spl45_127 ),
    inference(forward_subsumption_resolution,[],[f3700,f952]) ).

fof(f3717,plain,
    ( $false
    | ~ spl45_35
    | spl45_126
    | ~ spl45_127
    | ~ spl45_128 ),
    inference(forward_subsumption_resolution,[],[f3713,f962]) ).

fof(f3718,plain,
    ( ~ spl45_35
    | spl45_126
    | ~ spl45_127
    | ~ spl45_128 ),
    inference(avatar_contradiction_clause,[],[f3717]) ).

fof(f3721,plain,
    ( ! [X11] :
        ( ~ c0_1(X11)
        | c2_1(X11) )
    | ~ spl45_44
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f1084,f525]) ).

fof(f3727,plain,
    ( c2_1(a1643)
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(resolution,[],[f2254,f914]) ).

fof(f3730,plain,
    ( c2_1(a1658)
    | ~ spl45_104
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(resolution,[],[f2254,f835]) ).

fof(f3745,plain,
    ( $false
    | spl45_102
    | ~ spl45_104
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f3730,f825]) ).

fof(f3746,plain,
    ( spl45_102
    | ~ spl45_104
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(avatar_contradiction_clause,[],[f3745]) ).

fof(f3747,plain,
    ( $false
    | spl45_118
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f3727,f909]) ).

fof(f3748,plain,
    ( spl45_118
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(avatar_contradiction_clause,[],[f3747]) ).

fof(f3753,plain,
    ( c0_1(a1636)
    | ~ spl45_48
    | spl45_139
    | ~ spl45_150 ),
    inference(resolution,[],[f1458,f1019]) ).

fof(f3764,plain,
    ( $false
    | ~ spl45_48
    | spl45_139
    | spl45_140
    | ~ spl45_150 ),
    inference(forward_subsumption_resolution,[],[f3753,f1024]) ).

fof(f3765,plain,
    ( ~ spl45_48
    | spl45_139
    | spl45_140
    | ~ spl45_150 ),
    inference(avatar_contradiction_clause,[],[f3764]) ).

fof(f3808,plain,
    ( c2_1(a1642)
    | ~ spl45_44
    | ~ spl45_122
    | ~ spl45_152 ),
    inference(resolution,[],[f3721,f930]) ).

fof(f3825,plain,
    ( $false
    | ~ spl45_44
    | spl45_121
    | ~ spl45_122
    | ~ spl45_152 ),
    inference(forward_subsumption_resolution,[],[f3808,f925]) ).

fof(f3826,plain,
    ( ~ spl45_44
    | spl45_121
    | ~ spl45_122
    | ~ spl45_152 ),
    inference(avatar_contradiction_clause,[],[f3825]) ).

fof(f3843,plain,
    ( spl45_120
    | ~ spl45_37
    | spl45_121
    | ~ spl45_122 ),
    inference(avatar_split_clause,[],[f2670,f928,f923,f493,f918]) ).

fof(f3846,plain,
    ( spl45_99
    | ~ spl45_32
    | ~ spl45_37
    | ~ spl45_101 ),
    inference(avatar_split_clause,[],[f2473,f817,f493,f473,f807]) ).

fof(f3955,plain,
    ( c0_1(a1643)
    | c2_1(a1643)
    | ~ spl45_119
    | ~ spl45_145 ),
    inference(resolution,[],[f1049,f914]) ).

fof(f3968,plain,
    ( c2_1(a1643)
    | spl45_117
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_156 ),
    inference(forward_subsumption_resolution,[],[f3955,f2869]) ).

fof(f3969,plain,
    ( $false
    | spl45_117
    | spl45_118
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_156 ),
    inference(forward_subsumption_resolution,[],[f3968,f909]) ).

fof(f3970,plain,
    ( spl45_117
    | spl45_118
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_156 ),
    inference(avatar_contradiction_clause,[],[f3969]) ).

fof(f3973,plain,
    ( c1_1(a1639)
    | c2_1(a1639)
    | ~ spl45_44
    | ~ spl45_48
    | spl45_130
    | ~ spl45_131 ),
    inference(resolution,[],[f2747,f525]) ).

fof(f3974,plain,
    ( c2_1(a1639)
    | ~ spl45_44
    | ~ spl45_48
    | spl45_130
    | ~ spl45_131 ),
    inference(forward_subsumption_resolution,[],[f3973,f973]) ).

fof(f3975,plain,
    ( $false
    | ~ spl45_44
    | ~ spl45_48
    | spl45_129
    | spl45_130
    | ~ spl45_131 ),
    inference(forward_subsumption_resolution,[],[f3974,f968]) ).

fof(f3976,plain,
    ( ~ spl45_44
    | ~ spl45_48
    | spl45_129
    | spl45_130
    | ~ spl45_131 ),
    inference(avatar_contradiction_clause,[],[f3975]) ).

fof(f4005,plain,
    ( c0_1(a1638)
    | c2_1(a1638)
    | ~ spl45_48
    | spl45_133
    | ~ spl45_134
    | ~ spl45_145 ),
    inference(resolution,[],[f2748,f1049]) ).

fof(f4006,plain,
    ( c2_1(a1638)
    | ~ spl45_48
    | spl45_133
    | ~ spl45_134
    | ~ spl45_145 ),
    inference(forward_subsumption_resolution,[],[f4005,f989]) ).

fof(f4009,plain,
    ( $false
    | ~ spl45_48
    | spl45_132
    | spl45_133
    | ~ spl45_134
    | ~ spl45_145 ),
    inference(forward_subsumption_resolution,[],[f4006,f984]) ).

fof(f4010,plain,
    ( ~ spl45_48
    | spl45_132
    | spl45_133
    | ~ spl45_134
    | ~ spl45_145 ),
    inference(avatar_contradiction_clause,[],[f4009]) ).

cnf(s1,plain,
    ( spl45_1
    | spl45_2
    | spl45_3 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s3,plain,
    ( spl45_1
    | spl45_2
    | spl45_7 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s5,plain,
    ( spl45_1
    | spl45_6
    | spl45_10 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s6,plain,
    ( spl45_1
    | spl45_11
    | spl45_12 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s7,plain,
    ( spl45_9
    | spl45_12
    | spl45_13 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s8,plain,
    ( spl45_1
    | spl45_12
    | spl45_14 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s9,plain,
    ( spl45_3
    | spl45_15
    | spl45_16 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s11,plain,
    ( spl45_7
    | spl45_19
    | spl45_20 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s13,plain,
    ( spl45_21
    | spl45_22 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s16,plain,
    ( spl45_7
    | spl45_25
    | ~ spl45_26
    | spl45_27 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s17,plain,
    ( spl45_3
    | spl45_9
    | ~ spl45_26
    | spl45_27 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s18,plain,
    ( spl45_21
    | ~ spl45_26
    | spl45_28
    | spl45_29 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s19,plain,
    ( spl45_5
    | spl45_22
    | ~ spl45_26
    | spl45_29 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s20,plain,
    ( spl45_19
    | spl45_23
    | ~ spl45_26
    | spl45_29 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s21,plain,
    ( spl45_17
    | ~ spl45_26
    | spl45_30
    | spl45_31 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s22,plain,
    ( spl45_1
    | spl45_13
    | ~ spl45_26
    | spl45_32 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s24,plain,
    ( spl45_22
    | spl45_25
    | ~ spl45_26
    | spl45_35 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s26,plain,
    ( spl45_6
    | spl45_9
    | ~ spl45_26
    | spl45_37 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s27,plain,
    ( spl45_4
    | spl45_24
    | ~ spl45_26
    | spl45_37 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s28,plain,
    ( spl45_6
    | spl45_25
    | ~ spl45_26
    | spl45_38 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s32,plain,
    ( spl45_16
    | ~ spl45_26
    | spl45_42
    | spl45_43 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s33,plain,
    ( spl45_12
    | ~ spl45_26
    | spl45_42
    | spl45_44 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s35,plain,
    ( spl45_3
    | ~ spl45_26
    | spl45_36
    | spl45_46 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s36,plain,
    ( spl45_14
    | spl45_23
    | ~ spl45_26
    | spl45_46 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s37,plain,
    ( spl45_1
    | spl45_16
    | ~ spl45_26
    | spl45_47 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s38,plain,
    ( spl45_12
    | spl45_25
    | ~ spl45_26
    | spl45_48 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s41,plain,
    ( ~ spl45_26
    | spl45_33
    | spl45_40
    | spl45_50 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s42,plain,
    ( spl45_1
    | spl45_24
    | ~ spl45_26
    | spl45_50 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s47,plain,
    ( ~ spl45_23
    | spl45_54 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s48,plain,
    ( ~ spl45_23
    | spl45_55 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s49,plain,
    ( ~ spl45_23
    | spl45_56 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s51,plain,
    ( ~ spl45_25
    | spl45_57 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s52,plain,
    ( ~ spl45_25
    | spl45_58 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s53,plain,
    ( ~ spl45_25
    | spl45_59 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s54,plain,
    ( ~ spl45_24
    | spl45_60 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s55,plain,
    ( ~ spl45_24
    | spl45_61 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s56,plain,
    ( ~ spl45_24
    | spl45_62 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s58,plain,
    ( ~ spl45_11
    | ~ spl45_63 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s59,plain,
    ( ~ spl45_11
    | spl45_64 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s60,plain,
    ( ~ spl45_11
    | spl45_65 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s62,plain,
    ( ~ spl45_7
    | ~ spl45_66 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s63,plain,
    ( ~ spl45_7
    | spl45_67 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s64,plain,
    ( ~ spl45_7
    | spl45_68 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s65,plain,
    ( ~ spl45_7
    | spl45_26 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s66,plain,
    ( ~ spl45_19
    | ~ spl45_69 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s67,plain,
    ( ~ spl45_19
    | ~ spl45_70 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s68,plain,
    ( ~ spl45_19
    | spl45_71 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s71,plain,
    ( ~ spl45_30
    | ~ spl45_73 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s72,plain,
    ( ~ spl45_30
    | ~ spl45_74 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s73,plain,
    ( ~ spl45_28
    | ~ spl45_75 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s74,plain,
    ( ~ spl45_28
    | ~ spl45_76 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s75,plain,
    ( ~ spl45_28
    | ~ spl45_77 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s76,plain,
    ( ~ spl45_5
    | ~ spl45_78 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s77,plain,
    ( ~ spl45_5
    | spl45_79 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s78,plain,
    ( ~ spl45_5
    | spl45_80 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s81,plain,
    ( ~ spl45_22
    | spl45_82 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s82,plain,
    ( ~ spl45_22
    | spl45_83 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s84,plain,
    ( ~ spl45_6
    | ~ spl45_84 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s85,plain,
    ( ~ spl45_6
    | spl45_85 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s86,plain,
    ( ~ spl45_6
    | spl45_86 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s88,plain,
    ( ~ spl45_15
    | ~ spl45_87 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s89,plain,
    ( ~ spl45_15
    | ~ spl45_88 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s90,plain,
    ( ~ spl45_15
    | spl45_89 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s92,plain,
    ( ~ spl45_2
    | ~ spl45_90 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s93,plain,
    ( ~ spl45_2
    | ~ spl45_91 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s94,plain,
    ( ~ spl45_2
    | spl45_92 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s95,plain,
    ( ~ spl45_2
    | spl45_26 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s96,plain,
    ( ~ spl45_42
    | ~ spl45_93 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s97,plain,
    ( ~ spl45_42
    | spl45_94 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s98,plain,
    ( ~ spl45_42
    | spl45_95 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s99,plain,
    ( ~ spl45_10
    | ~ spl45_96 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s100,plain,
    ( ~ spl45_10
    | ~ spl45_97 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s101,plain,
    ( ~ spl45_10
    | spl45_98 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s103,plain,
    ( ~ spl45_21
    | ~ spl45_99 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s104,plain,
    ( ~ spl45_21
    | ~ spl45_100 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s105,plain,
    ( ~ spl45_21
    | spl45_101 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s107,plain,
    ( ~ spl45_36
    | ~ spl45_102 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s109,plain,
    ( ~ spl45_36
    | spl45_104 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s110,plain,
    ( ~ spl45_20
    | ~ spl45_105 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s111,plain,
    ( ~ spl45_20
    | spl45_106 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s112,plain,
    ( ~ spl45_20
    | spl45_107 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s114,plain,
    ( ~ spl45_3
    | ~ spl45_108 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s115,plain,
    ( ~ spl45_3
    | ~ spl45_109 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s116,plain,
    ( ~ spl45_3
    | spl45_110 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s118,plain,
    ( ~ spl45_16
    | ~ spl45_111 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s119,plain,
    ( ~ spl45_16
    | spl45_112 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s120,plain,
    ( ~ spl45_16
    | spl45_113 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s126,plain,
    ( ~ spl45_13
    | ~ spl45_117 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s127,plain,
    ( ~ spl45_13
    | ~ spl45_118 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s128,plain,
    ( ~ spl45_13
    | spl45_119 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s130,plain,
    ( ~ spl45_9
    | ~ spl45_120 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s131,plain,
    ( ~ spl45_9
    | ~ spl45_121 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s132,plain,
    ( ~ spl45_9
    | spl45_122 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s134,plain,
    ( ~ spl45_4
    | ~ spl45_123 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s135,plain,
    ( ~ spl45_4
    | ~ spl45_124 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s136,plain,
    ( ~ spl45_4
    | spl45_125 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s138,plain,
    ( ~ spl45_14
    | ~ spl45_126 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s139,plain,
    ( ~ spl45_14
    | spl45_127 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s140,plain,
    ( ~ spl45_14
    | spl45_128 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s142,plain,
    ( ~ spl45_17
    | ~ spl45_129 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s143,plain,
    ( ~ spl45_17
    | ~ spl45_130 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s144,plain,
    ( ~ spl45_17
    | spl45_131 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s146,plain,
    ( ~ spl45_33
    | ~ spl45_132 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s147,plain,
    ( ~ spl45_33
    | ~ spl45_133 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s148,plain,
    ( ~ spl45_33
    | spl45_134 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s149,plain,
    ( ~ spl45_40
    | ~ spl45_135 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s150,plain,
    ( ~ spl45_40
    | spl45_136 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s151,plain,
    ( ~ spl45_40
    | spl45_137 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s152,plain,
    ( ~ spl45_1
    | ~ spl45_138 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s153,plain,
    ( ~ spl45_1
    | ~ spl45_139 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s154,plain,
    ( ~ spl45_1
    | ~ spl45_140 ),
    inference(sat_conversion,[],[f1025]) ).

cnf(s155,plain,
    ( ~ spl45_1
    | spl45_26 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s156,plain,
    ( ~ spl45_12
    | ~ spl45_141 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s157,plain,
    ( ~ spl45_12
    | spl45_142 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s158,plain,
    ( ~ spl45_12
    | spl45_143 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s160,plain,
    ( spl45_144
    | spl45_145 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s161,plain,
    ( spl45_50
    | spl45_146 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s162,plain,
    ( ~ spl45_26
    | spl45_47
    | ~ spl45_144
    | ~ spl45_146 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s163,plain,
    ( spl45_50
    | spl45_147 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s164,plain,
    ( spl45_12
    | ~ spl45_26
    | spl45_37
    | ~ spl45_147 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s165,plain,
    ( spl45_39
    | spl45_148 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s166,plain,
    ( spl45_31
    | spl45_149 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s167,plain,
    ( ~ spl45_26
    | ~ spl45_148
    | ~ spl45_149
    | spl45_150 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s168,plain,
    ( spl45_150
    | spl45_151 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s169,plain,
    ( spl45_17
    | ~ spl45_26
    | ~ spl45_151
    | spl45_152 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s170,plain,
    ( spl45_38
    | spl45_153 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s171,plain,
    ( spl45_49
    | spl45_154 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s172,plain,
    ( ~ spl45_26
    | spl45_44
    | ~ spl45_153
    | ~ spl45_154 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s173,plain,
    ( spl45_155
    | spl45_156 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s174,plain,
    ( spl45_157
    | spl45_158 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s175,plain,
    ( ~ spl45_26
    | spl45_49
    | ~ spl45_155
    | ~ spl45_157 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s176,plain,
    ( spl45_46
    | spl45_159 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s177,plain,
    ( ~ spl45_26
    | spl45_48
    | ~ spl45_159 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s178,plain,
    ( spl45_158
    | spl45_160 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s179,plain,
    ( spl45_48
    | spl45_161 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s180,plain,
    ( ~ spl45_26
    | spl45_32
    | ~ spl45_160
    | ~ spl45_161 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s181,plain,
    ( spl45_31
    | spl45_162 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s182,plain,
    ( spl45_29
    | spl45_163 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s183,plain,
    ( ~ spl45_26
    | spl45_48
    | ~ spl45_162
    | ~ spl45_163 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s189,plain,
    ( spl45_32
    | spl45_168 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s190,plain,
    ( spl45_47
    | spl45_169 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s191,plain,
    ( ~ spl45_26
    | spl45_46
    | ~ spl45_168
    | ~ spl45_169 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s192,plain,
    ( spl45_44
    | spl45_170 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s193,plain,
    ( spl45_23
    | ~ spl45_26
    | spl45_47
    | ~ spl45_170 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s196,plain,
    ( spl45_167
    | spl45_172 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s197,plain,
    ( spl45_3
    | ~ spl45_26
    | ~ spl45_172
    | spl45_173 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s198,plain,
    ( spl45_167
    | spl45_174 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s199,plain,
    ( spl45_23
    | ~ spl45_26
    | ~ spl45_174
    | spl45_175 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s200,plain,
    ( spl45_167
    | spl45_176 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s201,plain,
    ( spl45_20
    | ~ spl45_26
    | spl45_38
    | ~ spl45_176 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s202,plain,
    ( spl45_177
    | spl45_178 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s203,plain,
    ( ~ spl45_26
    | spl45_33
    | ~ spl45_177
    | spl45_179 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s204,plain,
    ( spl45_178
    | spl45_180 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s205,plain,
    ( spl45_44
    | spl45_181 ),
    inference(sat_conversion,[],[f1230]) ).

cnf(s206,plain,
    ( ~ spl45_26
    | spl45_156
    | ~ spl45_180
    | ~ spl45_181 ),
    inference(sat_conversion,[],[f1231]) ).

cnf(s209,plain,
    ( spl45_44
    | spl45_183 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s210,plain,
    ( spl45_3
    | ~ spl45_26
    | spl45_173
    | ~ spl45_183 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s213,plain,
    ( spl45_39
    | spl45_185 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s214,plain,
    ( spl45_31
    | spl45_186 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s215,plain,
    ( ~ spl45_26
    | spl45_173
    | ~ spl45_185
    | ~ spl45_186 ),
    inference(sat_conversion,[],[f1260]) ).

cnf(s220,plain,
    ( spl45_45
    | spl45_189 ),
    inference(sat_conversion,[],[f1277]) ).

cnf(s221,plain,
    ( spl45_10
    | ~ spl45_26
    | spl45_156
    | ~ spl45_189 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s222,plain,
    ( spl45_43
    | spl45_190 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s223,plain,
    ( spl45_21
    | ~ spl45_26
    | spl45_38
    | ~ spl45_190 ),
    inference(sat_conversion,[],[f1284]) ).

cnf(s224,plain,
    ( spl45_191
    | spl45_192 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s225,plain,
    ( spl45_43
    | spl45_193 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s226,plain,
    ( ~ spl45_26
    | spl45_29
    | ~ spl45_191
    | ~ spl45_193 ),
    inference(sat_conversion,[],[f1298]) ).

cnf(s227,plain,
    ( spl45_35
    | spl45_194 ),
    inference(sat_conversion,[],[f1303]) ).

cnf(s228,plain,
    ( ~ spl45_26
    | spl45_40
    | spl45_175
    | ~ spl45_194 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s229,plain,
    ( spl45_35
    | spl45_195 ),
    inference(sat_conversion,[],[f1309]) ).

cnf(s230,plain,
    ( spl45_2
    | ~ spl45_26
    | spl45_175
    | ~ spl45_195 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s231,plain,
    ( spl45_31
    | spl45_196 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s232,plain,
    ( spl45_15
    | ~ spl45_26
    | spl45_38
    | ~ spl45_196 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s233,plain,
    ( spl45_29
    | spl45_197 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s234,plain,
    ( spl45_25
    | ~ spl45_26
    | spl45_156
    | ~ spl45_197 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s237,plain,
    ( spl45_31
    | spl45_199 ),
    inference(sat_conversion,[],[f1333]) ).

cnf(s238,plain,
    ( ~ spl45_26
    | spl45_28
    | spl45_192
    | ~ spl45_199 ),
    inference(sat_conversion,[],[f1334]) ).

cnf(s254,plain,
    ( ~ spl45_29
    | ~ spl45_46
    | ~ spl45_85
    | ~ spl45_86 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s258,plain,
    ( spl45_66
    | ~ spl45_68
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s259,plain,
    ( spl45_88
    | ~ spl45_89
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(sat_conversion,[],[f1431]) ).

cnf(s265,plain,
    ( ~ spl45_48
    | spl45_90
    | spl45_91
    | ~ spl45_150 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s271,plain,
    ( ~ spl45_48
    | spl45_63
    | ~ spl45_64
    | ~ spl45_173 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s278,plain,
    ( ~ spl45_54
    | ~ spl45_55
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s279,plain,
    ( ~ spl45_136
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f1540]) ).

cnf(s281,plain,
    ( ~ spl45_46
    | spl45_88
    | ~ spl45_89
    | ~ spl45_145 ),
    inference(sat_conversion,[],[f1553]) ).

cnf(s282,plain,
    ( ~ spl45_46
    | spl45_109
    | ~ spl45_110
    | ~ spl45_145 ),
    inference(sat_conversion,[],[f1555]) ).

cnf(s285,plain,
    ( ~ spl45_44
    | spl45_141
    | ~ spl45_143
    | ~ spl45_175 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s329,plain,
    ( ~ spl45_48
    | spl45_133
    | ~ spl45_134
    | ~ spl45_173 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s331,plain,
    ( ~ spl45_48
    | spl45_135
    | ~ spl45_136
    | ~ spl45_173 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s337,plain,
    ( ~ spl45_31
    | spl45_84
    | ~ spl45_85
    | ~ spl45_86 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s339,plain,
    ( ~ spl45_39
    | ~ spl45_48
    | spl45_141
    | ~ spl45_142 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s352,plain,
    ( ~ spl45_38
    | ~ spl45_43
    | spl45_130
    | ~ spl45_131 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s374,plain,
    ( ~ spl45_55
    | ~ spl45_56
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s376,plain,
    ( ~ spl45_82
    | ~ spl45_83
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s378,plain,
    ( ~ spl45_106
    | ~ spl45_107
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s380,plain,
    ( ~ spl45_29
    | ~ spl45_35
    | ~ spl45_37
    | ~ spl45_46
    | ~ spl45_55
    | ~ spl45_56 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s389,plain,
    ( ~ spl45_29
    | ~ spl45_46
    | ~ spl45_58
    | ~ spl45_59 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s394,plain,
    ( ~ spl45_46
    | ~ spl45_49
    | spl45_124
    | ~ spl45_125 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s435,plain,
    ( ~ spl45_38
    | ~ spl45_43
    | spl45_141
    | ~ spl45_142 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s447,plain,
    ( ~ spl45_37
    | ~ spl45_47
    | spl45_117
    | spl45_118 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s453,plain,
    ( ~ spl45_29
    | ~ spl45_82
    | ~ spl45_83
    | ~ spl45_152 ),
    inference(sat_conversion,[],[f2289]) ).

cnf(s454,plain,
    ( ~ spl45_29
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_152 ),
    inference(sat_conversion,[],[f2291]) ).

cnf(s468,plain,
    ( ~ spl45_44
    | spl45_100
    | ~ spl45_101
    | ~ spl45_175 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s516,plain,
    ( ~ spl45_43
    | spl45_138
    | spl45_139
    | ~ spl45_179 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s537,plain,
    ( ~ spl45_45
    | spl45_63
    | ~ spl45_64
    | ~ spl45_65 ),
    inference(sat_conversion,[],[f2568]) ).

cnf(s539,plain,
    ( ~ spl45_46
    | spl45_63
    | ~ spl45_65
    | ~ spl45_200 ),
    inference(sat_conversion,[],[f2586]) ).

cnf(s540,plain,
    ( ~ spl45_46
    | spl45_66
    | ~ spl45_67
    | ~ spl45_68 ),
    inference(sat_conversion,[],[f2588]) ).

cnf(s553,plain,
    ( ~ spl45_27
    | ~ spl45_38
    | ~ spl45_79
    | ~ spl45_80 ),
    inference(sat_conversion,[],[f2668]) ).

cnf(s579,plain,
    ( ~ spl45_44
    | ~ spl45_50
    | spl45_73
    | spl45_74 ),
    inference(sat_conversion,[],[f2802]) ).

cnf(s585,plain,
    ( spl45_108
    | spl45_109
    | ~ spl45_110
    | ~ spl45_178 ),
    inference(sat_conversion,[],[f2854]) ).

cnf(s586,plain,
    ( spl45_105
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_156 ),
    inference(sat_conversion,[],[f2871]) ).

cnf(s593,plain,
    ( ~ spl45_46
    | spl45_135
    | ~ spl45_137
    | ~ spl45_145 ),
    inference(sat_conversion,[],[f2900]) ).

cnf(s596,plain,
    ( ~ spl45_38
    | spl45_48
    | ~ spl45_50 ),
    inference(sat_conversion,[],[f2918]) ).

cnf(s598,plain,
    ( ~ spl45_50
    | spl45_138
    | spl45_139
    | spl45_140 ),
    inference(sat_conversion,[],[f2920]) ).

cnf(s611,plain,
    ( ~ spl45_48
    | spl45_69
    | spl45_70
    | ~ spl45_71 ),
    inference(sat_conversion,[],[f2952]) ).

cnf(s621,plain,
    ( ~ spl45_47
    | spl45_138
    | spl45_140
    | ~ spl45_167 ),
    inference(sat_conversion,[],[f3006]) ).

cnf(s624,plain,
    ( ~ spl45_44
    | spl45_96
    | spl45_97
    | ~ spl45_98 ),
    inference(sat_conversion,[],[f3071]) ).

cnf(s640,plain,
    ( ~ spl45_35
    | ~ spl45_54
    | ~ spl45_56
    | ~ spl45_158 ),
    inference(sat_conversion,[],[f3122]) ).

cnf(s644,plain,
    ( ~ spl45_35
    | ~ spl45_48
    | spl45_130
    | ~ spl45_131
    | ~ spl45_158 ),
    inference(sat_conversion,[],[f3130]) ).

cnf(s645,plain,
    ( ~ spl45_35
    | ~ spl45_142
    | ~ spl45_143
    | ~ spl45_158 ),
    inference(sat_conversion,[],[f3132]) ).

cnf(s646,plain,
    ( ~ spl45_46
    | ~ spl45_47
    | spl45_178 ),
    inference(sat_conversion,[],[f3160]) ).

cnf(s647,plain,
    ( ~ spl45_31
    | ~ spl45_47
    | spl45_178 ),
    inference(sat_conversion,[],[f3161]) ).

cnf(s650,plain,
    ( spl45_135
    | ~ spl45_137
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(sat_conversion,[],[f3189]) ).

cnf(s655,plain,
    ( ~ spl45_29
    | ~ spl45_46
    | ~ spl45_112
    | ~ spl45_113
    | ~ spl45_175 ),
    inference(sat_conversion,[],[f3216]) ).

cnf(s657,plain,
    ( ~ spl45_27
    | ~ spl45_31
    | ~ spl45_58
    | ~ spl45_59 ),
    inference(sat_conversion,[],[f3218]) ).

cnf(s667,plain,
    ( ~ spl45_46
    | ~ spl45_49
    | ~ spl45_57
    | ~ spl45_58
    | ~ spl45_158 ),
    inference(sat_conversion,[],[f3268]) ).

cnf(s670,plain,
    ( ~ spl45_38
    | spl45_78
    | ~ spl45_79
    | ~ spl45_80 ),
    inference(sat_conversion,[],[f3274]) ).

cnf(s673,plain,
    ( ~ spl45_61
    | ~ spl45_173
    | ~ spl45_192
    | ~ spl45_203 ),
    inference(sat_conversion,[],[f3290]) ).

cnf(s674,plain,
    ( ~ spl45_47
    | spl45_75
    | spl45_76
    | spl45_77 ),
    inference(sat_conversion,[],[f3293]) ).

cnf(s675,plain,
    ( ~ spl45_57
    | ~ spl45_59
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f3305]) ).

cnf(s683,plain,
    ( ~ spl45_32
    | spl45_111
    | ~ spl45_112
    | ~ spl45_113 ),
    inference(sat_conversion,[],[f3320]) ).

cnf(s696,plain,
    ( ~ spl45_47
    | spl45_87
    | spl45_88
    | ~ spl45_167 ),
    inference(sat_conversion,[],[f3350]) ).

cnf(s706,plain,
    ( ~ spl45_39
    | ~ spl45_47
    | spl45_117
    | spl45_118
    | ~ spl45_119
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(sat_conversion,[],[f3371]) ).

cnf(s727,plain,
    ( ~ spl45_31
    | ~ spl45_60
    | ~ spl45_61
    | spl45_203 ),
    inference(sat_conversion,[],[f3389]) ).

cnf(s738,plain,
    ( ~ spl45_38
    | ~ spl45_64
    | ~ spl45_65
    | spl45_200 ),
    inference(sat_conversion,[],[f3433]) ).

cnf(s744,plain,
    ( ~ spl45_29
    | ~ spl45_60
    | ~ spl45_62
    | ~ spl45_175 ),
    inference(sat_conversion,[],[f3485]) ).

cnf(s747,plain,
    ( ~ spl45_29
    | ~ spl45_94
    | ~ spl45_95
    | ~ spl45_175 ),
    inference(sat_conversion,[],[f3491]) ).

cnf(s748,plain,
    ( ~ spl45_29
    | ~ spl45_112
    | ~ spl45_113
    | ~ spl45_175 ),
    inference(sat_conversion,[],[f3493]) ).

cnf(s758,plain,
    ( ~ spl45_29
    | ~ spl45_60
    | ~ spl45_61
    | ~ spl45_62 ),
    inference(sat_conversion,[],[f3546]) ).

cnf(s778,plain,
    ( ~ spl45_32
    | ~ spl45_38
    | spl45_93
    | ~ spl45_94
    | ~ spl45_95 ),
    inference(sat_conversion,[],[f3602]) ).

cnf(s783,plain,
    ( ~ spl45_49
    | spl45_90
    | spl45_91
    | ~ spl45_92 ),
    inference(sat_conversion,[],[f3655]) ).

cnf(s785,plain,
    ( ~ spl45_31
    | ~ spl45_49
    | spl45_123
    | spl45_124
    | ~ spl45_125 ),
    inference(sat_conversion,[],[f3659]) ).

cnf(s797,plain,
    ( ~ spl45_35
    | spl45_126
    | ~ spl45_127
    | ~ spl45_128 ),
    inference(sat_conversion,[],[f3718]) ).

cnf(s802,plain,
    ( spl45_102
    | ~ spl45_104
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(sat_conversion,[],[f3746]) ).

cnf(s803,plain,
    ( spl45_118
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_152 ),
    inference(sat_conversion,[],[f3748]) ).

cnf(s805,plain,
    ( ~ spl45_48
    | spl45_139
    | spl45_140
    | ~ spl45_150 ),
    inference(sat_conversion,[],[f3765]) ).

cnf(s808,plain,
    ( ~ spl45_44
    | spl45_121
    | ~ spl45_122
    | ~ spl45_152 ),
    inference(sat_conversion,[],[f3826]) ).

cnf(s814,plain,
    ( ~ spl45_37
    | spl45_120
    | spl45_121
    | ~ spl45_122 ),
    inference(sat_conversion,[],[f3843]) ).

cnf(s817,plain,
    ( ~ spl45_32
    | ~ spl45_37
    | spl45_99
    | ~ spl45_101 ),
    inference(sat_conversion,[],[f3846]) ).

cnf(s843,plain,
    ( spl45_117
    | spl45_118
    | ~ spl45_119
    | ~ spl45_145
    | ~ spl45_156 ),
    inference(sat_conversion,[],[f3970]) ).

cnf(s844,plain,
    ( ~ spl45_44
    | ~ spl45_48
    | spl45_129
    | spl45_130
    | ~ spl45_131 ),
    inference(sat_conversion,[],[f3976]) ).

cnf(s849,plain,
    ( ~ spl45_48
    | spl45_132
    | spl45_133
    | ~ spl45_134
    | ~ spl45_145 ),
    inference(sat_conversion,[],[f4010]) ).

cnf(s851,plain,
    ( ~ spl45_12
    | ~ spl45_39
    | ~ spl45_48 ),
    inference(rat,[],[s339,s156,s157]) ).

cnf(s852,plain,
    ( spl45_47
    | ~ spl45_7
    | spl45_1 ),
    inference(rat,[],[s683,s189,s118,s119,s120,s191,s37,s190,s65,s540,s62,s63,s64]) ).

cnf(s853,plain,
    ( spl45_28
    | ~ spl45_82
    | ~ spl45_83
    | spl45_29
    | ~ spl45_175
    | ~ spl45_199
    | ~ spl45_180
    | ~ spl45_26 ),
    inference(rat,[],[s205,s468,s206,s104,s105,s376,s18,s238]) ).

cnf(s854,plain,
    ( ~ spl45_28
    | ~ spl45_47 ),
    inference(rat,[],[s674,s73,s74,s75]) ).

cnf(s855,plain,
    ( spl45_29
    | ~ spl45_175
    | ~ spl45_199
    | spl45_5
    | spl45_28
    | ~ spl45_180
    | ~ spl45_26 ),
    inference(rat,[],[s853,s81,s82,s19]) ).

cnf(s856,plain,
    ( ~ spl45_22
    | ~ spl45_29
    | ~ spl45_192
    | ~ spl45_151
    | ~ spl45_48
    | ~ spl45_180
    | ~ spl45_26 ),
    inference(rat,[],[s844,s205,s142,s143,s144,s206,s169,s376,s453,s81,s82]) ).

cnf(s859,plain,
    ( spl45_29
    | ~ spl45_175
    | ~ spl45_196
    | ~ spl45_199
    | ~ spl45_47
    | ~ spl45_180
    | ~ spl45_26 ),
    inference(rat,[],[s378,s111,s112,s201,s200,s696,s88,s89,s206,s232,s205,s670,s468,s76,s77,s78,s104,s105,s855,s18,s238,s854]) ).

cnf(s860,plain,
    ( ~ spl45_22
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(rat,[],[s376,s81,s82]) ).

cnf(s861,plain,
    ( ~ spl45_42
    | ~ spl45_29
    | ~ spl45_175 ),
    inference(rat,[],[s747,s97,s98]) ).

cnf(s862,plain,
    ( ~ spl45_25
    | ~ spl45_173
    | ~ spl45_192 ),
    inference(rat,[],[s675,s51,s53]) ).

cnf(s863,plain,
    ( ~ spl45_23
    | ~ spl45_156
    | ~ spl45_192 ),
    inference(rat,[],[s374,s48,s49]) ).

cnf(s864,plain,
    ( spl45_44
    | spl45_42
    | ~ spl45_192
    | ~ spl45_186
    | ~ spl45_180
    | spl45_46
    | ~ spl45_26 ),
    inference(rat,[],[s797,s138,s139,s140,s36,s863,s24,s862,s215,s213,s860,s851,s206,s33,s205,s177,s176]) ).

cnf(s865,plain,
    ( ~ spl45_24
    | ~ spl45_29
    | ~ spl45_175 ),
    inference(rat,[],[s744,s54,s56]) ).

cnf(s866,plain,
    ( ~ spl45_30
    | ~ spl45_50
    | ~ spl45_44 ),
    inference(rat,[],[s579,s71,s72]) ).

cnf(s867,plain,
    ( ~ spl45_175
    | spl45_2
    | spl45_1 ),
    inference(rat,[],[s844,s142,s143,s144,s21,s866,s42,s865,s864,s861,s859,s204,s177,s176,s540,s62,s63,s64,s231,s214,s238,s237,s647,s585,s114,s116,s115,s1,s65,s854,s852,s3]) ).

cnf(s868,plain,
    ( ~ spl45_14
    | ~ spl45_35 ),
    inference(rat,[],[s797,s138,s139,s140]) ).

cnf(s869,plain,
    ( spl45_2
    | spl45_1 ),
    inference(rat,[],[s215,s213,s278,s851,s47,s48,s8,s36,s868,s229,s230,s867,s238,s214,s237,s647,s854,s852,s177,s176,s585,s540,s114,s115,s116,s62,s63,s64,s65,s1,s3]) ).

cnf(s870,plain,
    ( ~ spl45_180
    | ~ spl45_175
    | ~ spl45_151
    | spl45_46
    | ~ spl45_47
    | spl45_31
    | ~ spl45_26 ),
    inference(rat,[],[s468,s104,s105,s13,s864,s856,s861,s859,s231,s214,s238,s854,s237,s177,s176]) ).

cnf(s871,plain,
    ( ~ spl45_3
    | ~ spl45_178 ),
    inference(rat,[],[s585,s114,s115,s116]) ).

cnf(s874,plain,
    ( spl45_44
    | spl45_173
    | spl45_12
    | ~ spl45_39
    | ~ spl45_192
    | ~ spl45_47
    | spl45_1 ),
    inference(rat,[],[s706,s126,s127,s128,s206,s22,s204,s778,s871,s96,s97,s98,s170,s210,s33,s172,s205,s209,s95,s171,s783,s92,s93,s94,s869]) ).

cnf(s875,plain,
    ( ~ spl45_10
    | ~ spl45_44 ),
    inference(rat,[],[s624,s99,s100,s101]) ).

cnf(s876,plain,
    ( ~ spl45_19
    | ~ spl45_48 ),
    inference(rat,[],[s611,s66,s67,s68]) ).

cnf(s877,plain,
    ( ~ spl45_24
    | ~ spl45_29 ),
    inference(rat,[],[s758,s54,s55,s56]) ).

cnf(s878,plain,
    ( ~ spl45_7
    | spl45_31
    | spl45_1 ),
    inference(rat,[],[s844,s142,s143,s144,s21,s866,s42,s877,s20,s876,s863,s221,s875,s874,s220,s271,s537,s58,s59,s60,s6,s851,s165,s167,s265,s177,s238,s176,s854,s540,s852,s62,s63,s64,s95,s93,s92,s869,s237,s166]) ).

cnf(s879,plain,
    ( ~ spl45_48
    | spl45_10
    | ~ spl45_192
    | spl45_31
    | spl45_1 ),
    inference(rat,[],[s537,s220,s58,s59,s60,s221,s6,s378,s851,s111,s112,s165,s11,s167,s876,s265,s95,s93,s92,s869,s166,s878]) ).

cnf(s880,plain,
    ( spl45_10
    | ~ spl45_192
    | spl45_31
    | spl45_1 ),
    inference(rat,[],[s254,s182,s176,s183,s177,s879,s85,s86,s5,s95,s869,s181]) ).

cnf(s881,plain,
    ( ~ spl45_48
    | spl45_44
    | ~ spl45_192
    | ~ spl45_47
    | ~ spl45_149
    | spl45_1 ),
    inference(rat,[],[s271,s58,s59,s874,s6,s851,s165,s167,s265,s95,s93,s92,s869]) ).

cnf(s882,plain,
    ( ~ spl45_47
    | spl45_31
    | spl45_1 ),
    inference(rat,[],[s877,s42,s182,s596,s183,s881,s170,s172,s875,s880,s238,s854,s95,s171,s783,s92,s93,s94,s869,s237,s181,s166]) ).

cnf(s883,plain,
    ( ~ spl45_192
    | spl45_31
    | spl45_1 ),
    inference(rat,[],[s871,s204,s210,s206,s278,s863,s47,s48,s193,s192,s205,s209,s875,s880,s95,s869,s882]) ).

cnf(s884,plain,
    ( spl45_10
    | spl45_31
    | spl45_1 ),
    inference(rat,[],[s537,s220,s58,s59,s60,s221,s6,s586,s851,s110,s111,s112,s165,s11,s167,s876,s265,s183,s182,s254,s85,s86,s5,s93,s92,s181,s166,s878,s191,s189,s683,s118,s119,s120,s37,s190,s882,s95,s869]) ).

cnf(s885,plain,
    ( ~ spl45_11
    | ~ spl45_38
    | ~ spl45_46 ),
    inference(rat,[],[s539,s738,s58,s59,s60]) ).

cnf(s886,plain,
    ( spl45_31
    | spl45_1 ),
    inference(rat,[],[s165,s167,s851,s265,s596,s42,s877,s226,s225,s435,s156,s157,s6,s885,s170,s172,s875,s884,s224,s883,s191,s189,s683,s118,s119,s120,s37,s190,s882,s166,s95,s171,s783,s92,s93,s94,s869]) ).

cnf(s887,plain,
    ( ~ spl45_6
    | ~ spl45_31 ),
    inference(rat,[],[s337,s84,s85,s86]) ).

cnf(s888,plain,
    ( ~ spl45_7
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(rat,[],[s258,s62,s64]) ).

cnf(s890,plain,
    ( ~ spl45_40
    | ~ spl45_192
    | ~ spl45_173 ),
    inference(rat,[],[s279,s150,s151]) ).

cnf(s891,plain,
    ( ~ spl45_192
    | spl45_156
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_48
    | ~ spl45_173
    | spl45_1 ),
    inference(rat,[],[s748,s119,s120,s32,s861,s228,s890,s227,s352,s644,s143,s144,s169,s454,s233,s234,s862,s170,s172,s875,s5,s887,s886,s171,s168,s265,s174,s175,s173,s95,s783,s92,s93,s94,s869]) ).

cnf(s892,plain,
    ( ~ spl45_40
    | ~ spl45_173
    | ~ spl45_178 ),
    inference(rat,[],[s650,s149,s151]) ).

cnf(s893,plain,
    ( ~ spl45_29
    | ~ spl45_158
    | ~ spl45_106
    | ~ spl45_107
    | ~ spl45_48
    | spl45_40
    | spl45_1 ),
    inference(rat,[],[s748,s119,s120,s32,s861,s228,s227,s352,s644,s143,s144,s169,s454,s170,s172,s875,s5,s887,s886,s171,s783,s94,s95,s168,s265,s93,s92,s869]) ).

cnf(s894,plain,
    ( ~ spl45_12
    | ~ spl45_43
    | ~ spl45_38 ),
    inference(rat,[],[s435,s156,s157]) ).

cnf(s895,plain,
    ( ~ spl45_48
    | ~ spl45_178
    | spl45_1 ),
    inference(rat,[],[s271,s58,s59,s6,s894,s225,s226,s893,s224,s891,s174,s175,s173,s586,s110,s111,s112,s11,s876,s170,s172,s171,s783,s92,s93,s94,s888,s892,s210,s871,s95,s869,s209,s875,s5,s887,s886]) ).

cnf(s896,plain,
    ( ~ spl45_178
    | spl45_1 ),
    inference(rat,[],[s226,s224,s225,s673,s894,s727,s6,s877,s54,s55,s885,s42,s176,s596,s177,s895,s210,s871,s209,s170,s172,s875,s5,s887,s886,s171,s783,s92,s93,s94,s95,s869]) ).

cnf(s897,plain,
    spl45_1,
    inference(rat,[],[s586,s110,s111,s112,s11,s876,s596,s161,s162,s160,s843,s126,s127,s128,s22,s683,s118,s119,s120,s852,s37,s206,s647,s204,s896,s170,s172,s205,s875,s5,s887,s886,s171,s783,s92,s93,s94,s95,s869]) ).

cnf(s898,plain,
    spl45_26,
    inference(rat,[],[s155,s897]) ).

cnf(s899,plain,
    ~ spl45_140,
    inference(rat,[],[s154,s897]) ).

cnf(s900,plain,
    ~ spl45_139,
    inference(rat,[],[s153,s897]) ).

cnf(s901,plain,
    ~ spl45_138,
    inference(rat,[],[s152,s897]) ).

cnf(s902,plain,
    ~ spl45_50,
    inference(rat,[],[s598,s899,s900,s901]) ).

cnf(s903,plain,
    spl45_147,
    inference(rat,[],[s163,s902]) ).

cnf(s904,plain,
    spl45_146,
    inference(rat,[],[s161,s902]) ).

cnf(s905,plain,
    ( ~ spl45_23
    | ~ spl45_192
    | ~ spl45_173 ),
    inference(rat,[],[s278,s47,s48]) ).

cnf(s906,plain,
    ( ~ spl45_29
    | ~ spl45_175
    | spl45_43
    | ~ spl45_46 ),
    inference(rat,[],[s655,s119,s120,s32,s861,s898]) ).

cnf(s907,plain,
    ( ~ spl45_192
    | spl45_48
    | spl45_7
    | ~ spl45_173
    | ~ spl45_174
    | spl45_6 ),
    inference(rat,[],[s553,s77,s78,s19,s860,s234,s233,s906,s199,s905,s894,s16,s28,s38,s862,s176,s177,s898]) ).

cnf(s909,plain,
    ( ~ spl45_42
    | ~ spl45_38
    | ~ spl45_32 ),
    inference(rat,[],[s778,s96,s97,s98]) ).

cnf(s910,plain,
    ( spl45_175
    | ~ spl45_12
    | ~ spl45_29
    | ~ spl45_46
    | ~ spl45_161
    | spl45_40
    | ~ spl45_174
    | spl45_44 ),
    inference(rat,[],[s683,s118,s119,s120,s32,s909,s894,s170,s172,s171,s394,s135,s136,s180,s27,s178,s380,s640,s227,s47,s48,s49,s228,s199,s877,s898]) ).

cnf(s911,plain,
    ( ~ spl45_25
    | ~ spl45_29
    | ~ spl45_46 ),
    inference(rat,[],[s389,s52,s53]) ).

cnf(s912,plain,
    ( ~ spl45_29
    | spl45_48
    | spl45_40
    | ~ spl45_174
    | spl45_6
    | spl45_44 ),
    inference(rat,[],[s906,s894,s910,s28,s38,s911,s179,s176,s177,s898]) ).

cnf(s913,plain,
    ( spl45_12
    | spl45_48
    | spl45_3
    | ~ spl45_31 ),
    inference(rat,[],[s814,s130,s131,s132,s17,s657,s52,s53,s164,s38,s898,s903]) ).

cnf(s916,plain,
    ( ~ spl45_16
    | ~ spl45_32 ),
    inference(rat,[],[s683,s118,s119,s120]) ).

cnf(s917,plain,
    ( ~ spl45_47
    | ~ spl45_31
    | spl45_44 ),
    inference(rat,[],[s259,s89,s90,s9,s916,s180,s178,s667,s171,s51,s52,s172,s28,s170,s894,s913,s225,s226,s912,s224,s907,s176,s177,s179,s329,s147,s148,s41,s892,s888,s210,s198,s871,s621,s647,s209,s887,s898,s902,s899,s901]) ).

cnf(s918,plain,
    ( ~ spl45_178
    | spl45_16
    | ~ spl45_173 ),
    inference(rat,[],[s259,s89,s90,s9,s871]) ).

cnf(s919,plain,
    ( ~ spl45_15
    | ~ spl45_46
    | ~ spl45_145 ),
    inference(rat,[],[s281,s89,s90]) ).

cnf(s920,plain,
    ( spl45_3
    | ~ spl45_43
    | spl45_48
    | ~ spl45_31
    | spl45_44 ),
    inference(rat,[],[s667,s171,s178,s51,s52,s172,s180,s28,s170,s916,s894,s9,s913,s887,s179,s919,s176,s177,s160,s162,s917,s898,s904]) ).

cnf(s921,plain,
    ( ~ spl45_3
    | ~ spl45_46
    | ~ spl45_145 ),
    inference(rat,[],[s282,s115,s116]) ).

cnf(s922,plain,
    ( spl45_48
    | ~ spl45_31
    | spl45_44 ),
    inference(rat,[],[s593,s149,s151,s228,s227,s645,s178,s906,s226,s180,s224,s225,s916,s157,s158,s905,s920,s9,s913,s210,s921,s919,s176,s177,s179,s209,s193,s192,s160,s162,s917,s898,s904]) ).

cnf(s923,plain,
    ( ~ spl45_33
    | ~ spl45_173
    | ~ spl45_48 ),
    inference(rat,[],[s329,s147,s148]) ).

cnf(s924,plain,
    ( ~ spl45_173
    | ~ spl45_48 ),
    inference(rat,[],[s331,s149,s150,s41,s923,s898,s902]) ).

cnf(s925,plain,
    ( ~ spl45_33
    | ~ spl45_48
    | ~ spl45_145 ),
    inference(rat,[],[s849,s146,s147,s148]) ).

cnf(s926,plain,
    ( ~ spl45_31
    | spl45_44 ),
    inference(rat,[],[s785,s134,s135,s136,s27,s817,s171,s103,s105,s172,s223,s170,s877,s909,s226,s32,s222,s225,s516,s203,s925,s224,s916,s863,s189,s206,s191,s202,s204,s921,s871,s210,s924,s922,s160,s162,s193,s190,s917,s209,s205,s192,s898,s900,s901,s904]) ).

cnf(s927,plain,
    ( ~ spl45_47
    | ~ spl45_173
    | spl45_48
    | spl45_44 ),
    inference(rat,[],[s748,s910,s119,s120,s198,s918,s892,s621,s646,s179,s38,s911,s182,s183,s181,s926,s176,s177,s899,s901,s898]) ).

cnf(s928,plain,
    ( spl45_3
    | spl45_48
    | spl45_44 ),
    inference(rat,[],[s593,s149,s151,s228,s227,s645,s178,s180,s748,s916,s119,s120,s9,s919,s160,s162,s927,s210,s209,s179,s158,s157,s38,s911,s182,s183,s181,s926,s176,s177,s898,s904]) ).

cnf(s929,plain,
    ( spl45_48
    | spl45_44 ),
    inference(rat,[],[s162,s160,s646,s921,s871,s928,s176,s177,s898,s904]) ).

cnf(s930,plain,
    ( ~ spl45_47
    | spl45_44 ),
    inference(rat,[],[s863,s199,s198,s238,s870,s621,s646,s854,s237,s926,s168,s805,s206,s204,s871,s210,s924,s929,s209,s205,s898,s899,s901,s900]) ).

cnf(s931,plain,
    spl45_44,
    inference(rat,[],[s817,s103,s105,s223,s222,s909,s516,s189,s203,s191,s925,s921,s160,s162,s190,s930,s164,s33,s202,s851,s871,s165,s210,s167,s924,s805,s929,s166,s926,s209,s898,s900,s901,s904,s903,s899]) ).

cnf(s933,plain,
    ( ~ spl45_12
    | ~ spl45_158
    | spl45_40 ),
    inference(rat,[],[s228,s227,s285,s645,s156,s157,s158,s898,s931]) ).

cnf(s934,plain,
    ( ~ spl45_47
    | spl45_48 ),
    inference(rat,[],[s238,s237,s862,s913,s38,s933,s178,s180,s916,s918,s892,s197,s196,s871,s621,s646,s854,s179,s176,s177,s898,s899,s901]) ).

cnf(s935,plain,
    ( ~ spl45_40
    | spl45_48 ),
    inference(rat,[],[s593,s149,s151,s176,s177,s160,s162,s934,s904,s898]) ).

cnf(s936,plain,
    spl45_48,
    inference(rat,[],[s183,s182,s181,s911,s913,s38,s933,s935,s178,s180,s916,s9,s919,s921,s160,s162,s934,s176,s177,s179,s898,s904]) ).

cnf(s938,plain,
    ~ spl45_150,
    inference(rat,[],[s805,s900,s899,s936]) ).

cnf(s939,plain,
    ~ spl45_173,
    inference(rat,[],[s924,s936]) ).

cnf(s940,plain,
    spl45_151,
    inference(rat,[],[s168,s938]) ).

cnf(s942,plain,
    ~ spl45_17,
    inference(rat,[],[s844,s142,s143,s144,s931,s936]) ).

cnf(s943,plain,
    spl45_152,
    inference(rat,[],[s169,s940,s898,s942]) ).

cnf(s944,plain,
    spl45_3,
    inference(rat,[],[s802,s107,s109,s35,s593,s149,s151,s41,s925,s160,s162,s621,s196,s197,s943,s898,s902,s936,s904,s899,s901,s939]) ).

cnf(s948,plain,
    ~ spl45_178,
    inference(rat,[],[s871,s944]) ).

cnf(s950,plain,
    spl45_177,
    inference(rat,[],[s202,s948]) ).

cnf(s951,plain,
    ~ spl45_9,
    inference(rat,[],[s808,s131,s132,s931,s943]) ).

cnf(s952,plain,
    ~ spl45_31,
    inference(rat,[],[s817,s103,s105,s223,s909,s32,s222,s916,s516,s189,s203,s191,s925,s921,s160,s162,s190,s26,s647,s887,s898,s900,s901,s950,s936,s944,s904,s951,s948]) ).

cnf(s956,plain,
    spl45_186,
    inference(rat,[],[s214,s952]) ).

cnf(s960,plain,
    ~ spl45_185,
    inference(rat,[],[s215,s939,s898,s956]) ).

cnf(s965,plain,
    spl45_39,
    inference(rat,[],[s213,s960]) ).

cnf(s966,plain,
    ~ spl45_12,
    inference(rat,[],[s851,s936,s965]) ).

cnf(s967,plain,
    spl45_37,
    inference(rat,[],[s164,s903,s898,s966]) ).

cnf(s968,plain,
    spl45_13,
    inference(rat,[],[s7,s951,s966]) ).

cnf(s969,plain,
    spl45_119,
    inference(rat,[],[s128,s968]) ).

cnf(s970,plain,
    ~ spl45_118,
    inference(rat,[],[s127,s968]) ).

cnf(s971,plain,
    ~ spl45_117,
    inference(rat,[],[s126,s968]) ).

cnf(s972,plain,
    ~ spl45_145,
    inference(rat,[],[s803,s943,s969,s970]) ).

cnf(s973,plain,
    ~ spl45_47,
    inference(rat,[],[s447,s967,s970,s971]) ).

cnf(s975,plain,
    spl45_144,
    inference(rat,[],[s160,s972]) ).

cnf(s978,plain,
    $false,
    inference(rat,[],[s162,s904,s898,s973,s975]) ).

fof(f4011,plain,
    $false,
    inference(avatar_sat_refutation,[],[s978]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN481+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  % Computer : n018.cluster.edu
% 0.07/0.21  % Model    : x86_64 x86_64
% 0.07/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21  % Memory   : 8046.5625MB
% 0.07/0.21  % OS       : Linux 6.8.0-71-generic
% 0.07/0.21  % CPULimit : 300
% 0.07/0.21  % WCLimit  : 300
% 0.07/0.21  % DateTime : Mon Sep 28 16:17:11 UTC 2026
% 0.07/0.22  % CPUTime  : 
% 0.07/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  Running first-order theorem proving
% 0.07/0.25  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/1.00  % (3515815)Detected formulas, will run a generic FOF schedule.
% 0.82/1.00  % (3515823)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2074834728:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.82/1.00  % (3515824)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1252504874:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.82/1.00  % (3515823)First to succeed.
% 0.82/1.00  % (3515822)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=1597994295:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.82/1.00  % (3515820)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=1917579161:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.82/1.00  % (3515821)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=3078628715:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.82/1.00  % (3515823)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3515815"
% 0.82/1.00  % (3515825)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=268510424:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.82/1.00  % (3515826)dis-21_1_sil=8000:lcm=predicate:random_seed=471133452: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)
% 0.82/1.00  % (3515826)Also succeeded, but the first one will report.
% 0.82/1.00  % (3515824)Instruction limit reached! 
% 0.82/1.00  % (3515824)------------------------------
% 0.82/1.00  % (3515824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.82/1.00  % (3515824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/1.00  % (3515824)CaDiCaL version: 2.1.3
% 0.82/1.00  % (3515824)Termination reason: Instruction limit
% 0.82/1.00  % (3515824)Termination phase: Saturation
% 0.82/1.00  % (3515824)Time elapsed: 0.058 s
% 0.82/1.00  % (3515824)Peak memory usage: 88 MB
% 0.82/1.00  % (3515824)Instructions burned: 119 (million)
% 0.82/1.00  % (3515825)Also succeeded, but the first one will report.
% 0.82/1.00  % (3515823)Refutation found. Thanks to Tanya!
% 0.82/1.00  % SZS status Theorem for theBenchmark
% 0.82/1.00  % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.20  % (3515823)------------------------------
% 2.78/1.20  % (3515823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.20  % (3515823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.20  % (3515823)CaDiCaL version: 2.1.3
% 2.78/1.20  % (3515823)Termination reason: Refutation
% 2.78/1.20  % (3515823)Time elapsed: 0.043 s
% 2.78/1.20  % (3515823)Peak memory usage: 91 MB
% 2.78/1.20  % (3515823)Instructions burned: 121 (million)
% 2.78/1.20  % (3515823)------------------------------
% 2.78/1.20  % (3515823)------------------------------
% 2.78/1.20  % (3515815)Success in time 0.31 s
% 2.78/1.20  % Vampire exiting
%------------------------------------------------------------------------------