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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN480+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 : n026.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 01:55:53 PM UTC 2026

% Result   : Theorem 2.88s 1.13s
% Output   : Refutation 3.78s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1533)
          & ~ c0_1(a1533)
          & ~ c3_1(a1533) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a1534)
          & c2_1(a1534)
          & ~ c3_1(a1534) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a1535)
          & ~ c1_1(a1535)
          & ~ c2_1(a1535) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1536)
          & ~ c0_1(a1536)
          & ~ c2_1(a1536) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a1538)
          & ~ c2_1(a1538)
          & ~ c3_1(a1538) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a1539)
          & c3_1(a1539)
          & ~ c0_1(a1539) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a1543)
          & ~ c1_1(a1543)
          & ~ c2_1(a1543) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a1545)
          & ~ c0_1(a1545)
          & ~ c3_1(a1545) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1547)
          & c1_1(a1547)
          & ~ c3_1(a1547) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a1548)
          & ~ c1_1(a1548)
          & ~ c3_1(a1548) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a1549)
          & c3_1(a1549)
          & ~ c1_1(a1549) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a1553)
          & c2_1(a1553)
          & ~ c1_1(a1553) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a1554)
          & c2_1(a1554)
          & ~ c0_1(a1554) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a1556)
          & c2_1(a1556)
          & ~ c3_1(a1556) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a1558)
          & c1_1(a1558)
          & ~ c2_1(a1558) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a1565)
          & ~ c2_1(a1565)
          & ~ c3_1(a1565) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a1566)
          & c3_1(a1566)
          & ~ c1_1(a1566) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a1570)
          & ~ c0_1(a1570)
          & ~ c1_1(a1570) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a1572)
          & c3_1(a1572)
          & ~ c0_1(a1572) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a1573)
          & ~ c1_1(a1573)
          & ~ c3_1(a1573) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a1574)
          & c3_1(a1574)
          & ~ c2_1(a1574) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1575)
          & ~ c0_1(a1575)
          & ~ c1_1(a1575) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a1581)
          & ~ c1_1(a1581)
          & ~ c3_1(a1581) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a1593)
          & c3_1(a1593)
          & ~ c2_1(a1593) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a1600)
          & ~ c2_1(a1600)
          & ~ c3_1(a1600) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a1612)
          & ~ c0_1(a1612)
          & ~ c2_1(a1612) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a1624)
          & ~ c2_1(a1624)
          & ~ c3_1(a1624) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a1632)
          & ~ c1_1(a1632)
          & ~ c2_1(a1632) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a1542)
          & c2_1(a1542)
          & c3_1(a1542) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1544)
          & c1_1(a1544)
          & c2_1(a1544) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a1546)
          & c1_1(a1546)
          & c3_1(a1546) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a1562)
          & c2_1(a1562)
          & c3_1(a1562) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | ~ c1_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c2_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp1
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp3
        | hskp0 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) )
        | hskp4 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) )
        | hskp5 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | hskp3 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | c2_1(X14)
              | c3_1(X14) ) )
        | hskp4 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c1_1(X16)
              | ~ c3_1(X16) ) )
        | hskp28 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | c2_1(X21)
              | ~ c0_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c0_1(X22)
              | ~ c2_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c0_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | ~ c0_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c3_1(X27) ) )
        | hskp6 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | ~ c2_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c3_1(X30)
              | ~ c0_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) )
        | hskp29 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c3_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c3_1(X35)
              | ~ c0_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c0_1(X37)
              | ~ c3_1(X37) ) )
        | hskp7 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | c3_1(X38) ) )
        | hskp30
        | hskp8 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c3_1(X43)
              | ~ c2_1(X43) ) )
        | hskp9 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c1_1(X44) ) )
        | hskp10
        | hskp4 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) )
        | hskp3 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp4 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp11 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp12
        | hskp3 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c1_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | ~ c0_1(X53)
              | ~ c3_1(X53) ) )
        | hskp13 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | ~ c0_1(X56)
              | ~ c3_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c2_1(X58) ) )
        | hskp2 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp14 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c2_1(X62)
              | ~ c0_1(X62)
              | ~ c1_1(X62) ) )
        | hskp10 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c2_1(X63) ) )
        | hskp14
        | hskp5 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c3_1(X65)
              | ~ c0_1(X65) ) )
        | hskp31 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) )
        | hskp1
        | hskp28 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | hskp15 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | hskp16 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | hskp11
        | hskp1 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp6 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | ~ c3_1(X79) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp17 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | hskp8
        | hskp18 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c0_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | hskp19 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | hskp20 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c2_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c0_1(X88)
              | ~ c1_1(X88) ) )
        | hskp21 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c2_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c0_1(X90)
              | ~ c2_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c2_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c1_1(X93)
              | ~ c2_1(X93) ) )
        | hskp1 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c2_1(X94) ) )
        | hskp14
        | hskp1 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp10
        | hskp6 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp22 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | hskp14 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c0_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp21 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | hskp30
        | hskp13 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c0_1(X104)
              | ~ c3_1(X104) ) )
        | hskp15 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c1_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c2_1(X106) ) )
        | hskp19 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp31
        | hskp3 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c1_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) )
        | hskp19
        | hskp3 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c0_1(X109) ) )
        | hskp8
        | hskp23 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c0_1(X110) ) )
        | hskp19
        | hskp13 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | c3_1(X111)
              | ~ c0_1(X111) ) )
        | hskp28
        | hskp15 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | c3_1(X112)
              | ~ c1_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | hskp15 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | c3_1(X114)
              | ~ c1_1(X114) ) )
        | hskp19
        | hskp24 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c1_1(X116)
              | ~ c2_1(X116) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c2_1(X117)
              | ~ c3_1(X117) ) ) )
      & ( ! [X118] :
            ( ndr1_0
           => ( c2_1(X118)
              | ~ c1_1(X118)
              | ~ c3_1(X118) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c1_1(X119)
              | ~ c3_1(X119) ) )
        | hskp5 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c0_1(X120)
              | ~ c1_1(X120) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c1_1(X121)
              | ~ c2_1(X121)
              | ~ c3_1(X121) ) )
        | hskp23 )
      & ( ! [X122] :
            ( ndr1_0
           => ( c3_1(X122)
              | ~ c0_1(X122)
              | ~ c1_1(X122) ) )
        | hskp20
        | hskp21 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c2_1(X123) ) )
        | hskp31
        | hskp7 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c1_1(X124)
              | ~ c3_1(X124) ) )
        | hskp10 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp14
        | hskp22 )
      & ( hskp29
        | hskp19
        | hskp25 )
      & ( hskp14
        | hskp1
        | hskp4 )
      & ( hskp14
        | hskp20
        | hskp15 )
      & ( hskp31
        | hskp15
        | hskp7 )
      & ( hskp1
        | hskp15
        | hskp26 )
      & ( hskp10
        | hskp12
        | hskp3 )
      & ( hskp23
        | hskp3
        | hskp26 )
      & ( hskp5
        | hskp27
        | hskp9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1533)
            & ~ c0_1(a1533)
            & ~ c3_1(a1533) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a1534)
            & c2_1(a1534)
            & ~ c3_1(a1534) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a1535)
            & ~ c1_1(a1535)
            & ~ c2_1(a1535) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1536)
            & ~ c0_1(a1536)
            & ~ c2_1(a1536) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a1538)
            & ~ c2_1(a1538)
            & ~ c3_1(a1538) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a1539)
            & c3_1(a1539)
            & ~ c0_1(a1539) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a1543)
            & ~ c1_1(a1543)
            & ~ c2_1(a1543) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a1545)
            & ~ c0_1(a1545)
            & ~ c3_1(a1545) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1547)
            & c1_1(a1547)
            & ~ c3_1(a1547) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a1548)
            & ~ c1_1(a1548)
            & ~ c3_1(a1548) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a1549)
            & c3_1(a1549)
            & ~ c1_1(a1549) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a1553)
            & c2_1(a1553)
            & ~ c1_1(a1553) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a1554)
            & c2_1(a1554)
            & ~ c0_1(a1554) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a1556)
            & c2_1(a1556)
            & ~ c3_1(a1556) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a1558)
            & c1_1(a1558)
            & ~ c2_1(a1558) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a1565)
            & ~ c2_1(a1565)
            & ~ c3_1(a1565) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a1566)
            & c3_1(a1566)
            & ~ c1_1(a1566) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a1570)
            & ~ c0_1(a1570)
            & ~ c1_1(a1570) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a1572)
            & c3_1(a1572)
            & ~ c0_1(a1572) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a1573)
            & ~ c1_1(a1573)
            & ~ c3_1(a1573) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a1574)
            & c3_1(a1574)
            & ~ c2_1(a1574) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1575)
            & ~ c0_1(a1575)
            & ~ c1_1(a1575) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a1581)
            & ~ c1_1(a1581)
            & ~ c3_1(a1581) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a1593)
            & c3_1(a1593)
            & ~ c2_1(a1593) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a1600)
            & ~ c2_1(a1600)
            & ~ c3_1(a1600) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a1612)
            & ~ c0_1(a1612)
            & ~ c2_1(a1612) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a1624)
            & ~ c2_1(a1624)
            & ~ c3_1(a1624) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a1632)
            & ~ c1_1(a1632)
            & ~ c2_1(a1632) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a1542)
            & c2_1(a1542)
            & c3_1(a1542) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1544)
            & c1_1(a1544)
            & c2_1(a1544) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a1546)
            & c1_1(a1546)
            & c3_1(a1546) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a1562)
            & c2_1(a1562)
            & c3_1(a1562) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp1
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp3
          | hskp0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | hskp4 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | hskp5 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | hskp3 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c2_1(X14)
                | c3_1(X14) ) )
          | hskp4 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c1_1(X16)
                | ~ c3_1(X16) ) )
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | c2_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c2_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c0_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | hskp6 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | ~ c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c3_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp29 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c0_1(X37)
                | ~ c3_1(X37) ) )
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | c3_1(X38) ) )
          | hskp30
          | hskp8 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) )
          | hskp9 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | hskp10
          | hskp4 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) )
          | hskp3 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp4 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp11 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp12
          | hskp3 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | ~ c0_1(X53)
                | ~ c3_1(X53) ) )
          | hskp13 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c2_1(X58) ) )
          | hskp2 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp14 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c0_1(X62)
                | ~ c1_1(X62) ) )
          | hskp10 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c2_1(X63) ) )
          | hskp14
          | hskp5 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | ~ c0_1(X65) ) )
          | hskp31 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | hskp1
          | hskp28 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp15 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp16 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | hskp11
          | hskp1 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp6 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp17 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp8
          | hskp18 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | hskp20 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c0_1(X88)
                | ~ c1_1(X88) ) )
          | hskp21 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c0_1(X90)
                | ~ c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c1_1(X93)
                | ~ c2_1(X93) ) )
          | hskp1 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c2_1(X94) ) )
          | hskp14
          | hskp1 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp10
          | hskp6 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp22 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | hskp14 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c0_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp21 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | hskp30
          | hskp13 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c0_1(X104)
                | ~ c3_1(X104) ) )
          | hskp15 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c2_1(X106) ) )
          | hskp19 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp31
          | hskp3 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c1_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) )
          | hskp19
          | hskp3 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c0_1(X109) ) )
          | hskp8
          | hskp23 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c0_1(X110) ) )
          | hskp19
          | hskp13 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c3_1(X111)
                | ~ c0_1(X111) ) )
          | hskp28
          | hskp15 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c3_1(X112)
                | ~ c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp15 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c3_1(X114)
                | ~ c1_1(X114) ) )
          | hskp19
          | hskp24 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c1_1(X116)
                | ~ c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c2_1(X117)
                | ~ c3_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c3_1(X119) ) )
          | hskp5 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c0_1(X120)
                | ~ c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c1_1(X121)
                | ~ c2_1(X121)
                | ~ c3_1(X121) ) )
          | hskp23 )
        & ( ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | ~ c0_1(X122)
                | ~ c1_1(X122) ) )
          | hskp20
          | hskp21 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) )
          | hskp31
          | hskp7 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c1_1(X124)
                | ~ c3_1(X124) ) )
          | hskp10 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp14
          | hskp22 )
        & ( hskp29
          | hskp19
          | hskp25 )
        & ( hskp14
          | hskp1
          | hskp4 )
        & ( hskp14
          | hskp20
          | hskp15 )
        & ( hskp31
          | hskp15
          | hskp7 )
        & ( hskp1
          | hskp15
          | hskp26 )
        & ( hskp10
          | hskp12
          | hskp3 )
        & ( hskp23
          | hskp3
          | hskp26 )
        & ( hskp5
          | hskp27
          | hskp9 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1533)
        & ~ c0_1(a1533)
        & ~ c3_1(a1533) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1534)
        & c2_1(a1534)
        & ~ c3_1(a1534) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a1535)
        & ~ c1_1(a1535)
        & ~ c2_1(a1535) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1536)
        & ~ c0_1(a1536)
        & ~ c2_1(a1536) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a1538)
        & ~ c2_1(a1538)
        & ~ c3_1(a1538) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1539)
        & c3_1(a1539)
        & ~ c0_1(a1539) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1543)
        & ~ c1_1(a1543)
        & ~ c2_1(a1543) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1545)
        & ~ c0_1(a1545)
        & ~ c3_1(a1545) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1547)
        & c1_1(a1547)
        & ~ c3_1(a1547) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a1548)
        & ~ c1_1(a1548)
        & ~ c3_1(a1548) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1549)
        & c3_1(a1549)
        & ~ c1_1(a1549) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a1553)
        & c2_1(a1553)
        & ~ c1_1(a1553) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1554)
        & c2_1(a1554)
        & ~ c0_1(a1554) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1556)
        & c2_1(a1556)
        & ~ c3_1(a1556) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1558)
        & c1_1(a1558)
        & ~ c2_1(a1558) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a1565)
        & ~ c2_1(a1565)
        & ~ c3_1(a1565) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1566)
        & c3_1(a1566)
        & ~ c1_1(a1566) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1570)
        & ~ c0_1(a1570)
        & ~ c1_1(a1570) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1572)
        & c3_1(a1572)
        & ~ c0_1(a1572) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a1573)
        & ~ c1_1(a1573)
        & ~ c3_1(a1573) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a1574)
        & c3_1(a1574)
        & ~ c2_1(a1574) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1575)
        & ~ c0_1(a1575)
        & ~ c1_1(a1575) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a1581)
        & ~ c1_1(a1581)
        & ~ c3_1(a1581) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1593)
        & c3_1(a1593)
        & ~ c2_1(a1593) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1600)
        & ~ c2_1(a1600)
        & ~ c3_1(a1600) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a1612)
        & ~ c0_1(a1612)
        & ~ c2_1(a1612) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a1624)
        & ~ c2_1(a1624)
        & ~ c3_1(a1624) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a1632)
        & ~ c1_1(a1632)
        & ~ c2_1(a1632) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a1542)
        & c2_1(a1542)
        & c3_1(a1542) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1544)
        & c1_1(a1544)
        & c2_1(a1544) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1546)
        & c1_1(a1546)
        & c3_1(a1546) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1562)
        & c2_1(a1562)
        & c3_1(a1562) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | hskp3
      | hskp0 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | hskp4 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) )
      | hskp5 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) )
      | hskp3 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c1_1(X14)
            | c2_1(X14)
            | c3_1(X14) ) )
      | hskp4 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c1_1(X16)
            | ~ c3_1(X16) ) )
      | hskp28 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | c2_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | ~ c0_1(X22)
            | ~ c2_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | ~ c0_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | ~ c0_1(X25)
            | ~ c2_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | ~ c3_1(X27) ) )
      | hskp6 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c3_1(X29)
            | ~ c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c3_1(X30)
            | ~ c0_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c1_1(X32)
            | ~ c3_1(X32) ) )
      | hskp29 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c3_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | c3_1(X35)
            | ~ c0_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c2_1(X37)
            | ~ c0_1(X37)
            | ~ c3_1(X37) ) )
      | hskp7 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | c3_1(X38) ) )
      | hskp30
      | hskp8 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c3_1(X43)
            | ~ c2_1(X43) ) )
      | hskp9 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) )
      | hskp10
      | hskp4 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) )
      | hskp3 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp4 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp11 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp12
      | hskp3 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | ~ c0_1(X53)
            | ~ c3_1(X53) ) )
      | hskp13 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c0_1(X56)
            | ~ c3_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c2_1(X58) ) )
      | hskp2 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | hskp14 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | ~ c0_1(X62)
            | ~ c1_1(X62) ) )
      | hskp10 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c1_1(X63)
            | ~ c2_1(X63) ) )
      | hskp14
      | hskp5 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c3_1(X65)
            | ~ c0_1(X65) ) )
      | hskp31 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) )
      | hskp1
      | hskp28 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | ~ c2_1(X71)
            | ~ c3_1(X71) ) )
      | hskp15 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) )
      | hskp16 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | hskp11
      | hskp1 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp6 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | ~ c3_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp17 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c3_1(X82)
            | ~ c2_1(X82) ) )
      | hskp8
      | hskp18 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c0_1(X83)
            | ~ c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c3_1(X84)
            | ~ c0_1(X84) ) )
      | hskp19 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c1_1(X86) ) )
      | hskp20 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c0_1(X87)
            | ~ c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | ~ c0_1(X88)
            | ~ c1_1(X88) ) )
      | hskp21 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c0_1(X89)
            | ~ c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | ~ c0_1(X90)
            | ~ c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | ~ c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c1_1(X93)
            | ~ c2_1(X93) ) )
      | hskp1 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c2_1(X94) ) )
      | hskp14
      | hskp1 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp10
      | hskp6 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | hskp22 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c1_1(X99)
            | ~ c3_1(X99) ) )
      | hskp14 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | ~ c0_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp21 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c0_1(X102)
            | ~ c3_1(X102) ) )
      | hskp30
      | hskp13 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c0_1(X104)
            | ~ c3_1(X104) ) )
      | hskp15 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c2_1(X106) ) )
      | hskp19 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | hskp31
      | hskp3 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c1_1(X108)
            | ~ c2_1(X108)
            | ~ c3_1(X108) ) )
      | hskp19
      | hskp3 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c0_1(X109) ) )
      | hskp8
      | hskp23 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c3_1(X110)
            | ~ c0_1(X110) ) )
      | hskp19
      | hskp13 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c3_1(X111)
            | ~ c0_1(X111) ) )
      | hskp28
      | hskp15 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c3_1(X112)
            | ~ c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | hskp15 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c3_1(X114)
            | ~ c1_1(X114) ) )
      | hskp19
      | hskp24 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c0_1(X116)
            | ~ c1_1(X116)
            | ~ c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | ~ c2_1(X117)
            | ~ c3_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | ~ c1_1(X118)
            | ~ c3_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c1_1(X119)
            | ~ c3_1(X119) ) )
      | hskp5 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c0_1(X120)
            | ~ c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c1_1(X121)
            | ~ c2_1(X121)
            | ~ c3_1(X121) ) )
      | hskp23 )
    & ( ! [X122] :
          ( ndr1_0
         => ( c3_1(X122)
            | ~ c0_1(X122)
            | ~ c1_1(X122) ) )
      | hskp20
      | hskp21 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c1_1(X123)
            | ~ c2_1(X123) ) )
      | hskp31
      | hskp7 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | ~ c1_1(X124)
            | ~ c3_1(X124) ) )
      | hskp10 )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | ~ c3_1(X125) ) )
      | hskp14
      | hskp22 )
    & ( hskp29
      | hskp19
      | hskp25 )
    & ( hskp14
      | hskp1
      | hskp4 )
    & ( hskp14
      | hskp20
      | hskp15 )
    & ( hskp31
      | hskp15
      | hskp7 )
    & ( hskp1
      | hskp15
      | hskp26 )
    & ( hskp10
      | hskp12
      | hskp3 )
    & ( hskp23
      | hskp3
      | hskp26 )
    & ( hskp5
      | hskp27
      | hskp9 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1533)
        & ~ c0_1(a1533)
        & ~ c3_1(a1533) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1534)
        & c2_1(a1534)
        & ~ c3_1(a1534) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a1535)
        & ~ c1_1(a1535)
        & ~ c2_1(a1535) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1536)
        & ~ c0_1(a1536)
        & ~ c2_1(a1536) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a1538)
        & ~ c2_1(a1538)
        & ~ c3_1(a1538) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1539)
        & c3_1(a1539)
        & ~ c0_1(a1539) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1543)
        & ~ c1_1(a1543)
        & ~ c2_1(a1543) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1545)
        & ~ c0_1(a1545)
        & ~ c3_1(a1545) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1547)
        & c1_1(a1547)
        & ~ c3_1(a1547) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a1548)
        & ~ c1_1(a1548)
        & ~ c3_1(a1548) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1549)
        & c3_1(a1549)
        & ~ c1_1(a1549) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a1553)
        & c2_1(a1553)
        & ~ c1_1(a1553) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1554)
        & c2_1(a1554)
        & ~ c0_1(a1554) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1556)
        & c2_1(a1556)
        & ~ c3_1(a1556) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1558)
        & c1_1(a1558)
        & ~ c2_1(a1558) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a1565)
        & ~ c2_1(a1565)
        & ~ c3_1(a1565) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1566)
        & c3_1(a1566)
        & ~ c1_1(a1566) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1570)
        & ~ c0_1(a1570)
        & ~ c1_1(a1570) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1572)
        & c3_1(a1572)
        & ~ c0_1(a1572) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a1573)
        & ~ c1_1(a1573)
        & ~ c3_1(a1573) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a1574)
        & c3_1(a1574)
        & ~ c2_1(a1574) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1575)
        & ~ c0_1(a1575)
        & ~ c1_1(a1575) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a1581)
        & ~ c1_1(a1581)
        & ~ c3_1(a1581) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1593)
        & c3_1(a1593)
        & ~ c2_1(a1593) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1600)
        & ~ c2_1(a1600)
        & ~ c3_1(a1600) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a1612)
        & ~ c0_1(a1612)
        & ~ c2_1(a1612) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a1624)
        & ~ c2_1(a1624)
        & ~ c3_1(a1624) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a1632)
        & ~ c1_1(a1632)
        & ~ c2_1(a1632) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a1542)
        & c2_1(a1542)
        & c3_1(a1542) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1544)
        & c1_1(a1544)
        & c2_1(a1544) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1546)
        & c1_1(a1546)
        & c3_1(a1546) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1562)
        & c2_1(a1562)
        & c3_1(a1562) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp3
      | hskp0 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | c2_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | hskp30
      | hskp8 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp10
      | hskp4 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp12
      | hskp3 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | hskp14
      | hskp5 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp1
      | hskp28 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp8
      | hskp18 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | hskp6 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp30
      | hskp13 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp31
      | hskp3 )
    & ( ! [X108] :
          ( c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp19
      | hskp3 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp19
      | hskp13 )
    & ( ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | hskp28
      | hskp15 )
    & ( ! [X112] :
          ( c2_1(X112)
          | c3_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X114] :
          ( c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp19
      | hskp24 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X122] :
          ( c3_1(X122)
          | ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 )
      | hskp31
      | hskp7 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( hskp29
      | hskp19
      | hskp25 )
    & ( hskp14
      | hskp1
      | hskp4 )
    & ( hskp14
      | hskp20
      | hskp15 )
    & ( hskp31
      | hskp15
      | hskp7 )
    & ( hskp1
      | hskp15
      | hskp26 )
    & ( hskp10
      | hskp12
      | hskp3 )
    & ( hskp23
      | hskp3
      | hskp26 )
    & ( hskp5
      | hskp27
      | hskp9 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1533)
        & ~ c0_1(a1533)
        & ~ c3_1(a1533) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1534)
        & c2_1(a1534)
        & ~ c3_1(a1534) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a1535)
        & ~ c1_1(a1535)
        & ~ c2_1(a1535) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1536)
        & ~ c0_1(a1536)
        & ~ c2_1(a1536) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a1538)
        & ~ c2_1(a1538)
        & ~ c3_1(a1538) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1539)
        & c3_1(a1539)
        & ~ c0_1(a1539) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1543)
        & ~ c1_1(a1543)
        & ~ c2_1(a1543) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1545)
        & ~ c0_1(a1545)
        & ~ c3_1(a1545) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1547)
        & c1_1(a1547)
        & ~ c3_1(a1547) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a1548)
        & ~ c1_1(a1548)
        & ~ c3_1(a1548) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1549)
        & c3_1(a1549)
        & ~ c1_1(a1549) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a1553)
        & c2_1(a1553)
        & ~ c1_1(a1553) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1554)
        & c2_1(a1554)
        & ~ c0_1(a1554) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1556)
        & c2_1(a1556)
        & ~ c3_1(a1556) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1558)
        & c1_1(a1558)
        & ~ c2_1(a1558) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a1565)
        & ~ c2_1(a1565)
        & ~ c3_1(a1565) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1566)
        & c3_1(a1566)
        & ~ c1_1(a1566) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1570)
        & ~ c0_1(a1570)
        & ~ c1_1(a1570) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1572)
        & c3_1(a1572)
        & ~ c0_1(a1572) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a1573)
        & ~ c1_1(a1573)
        & ~ c3_1(a1573) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a1574)
        & c3_1(a1574)
        & ~ c2_1(a1574) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1575)
        & ~ c0_1(a1575)
        & ~ c1_1(a1575) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a1581)
        & ~ c1_1(a1581)
        & ~ c3_1(a1581) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1593)
        & c3_1(a1593)
        & ~ c2_1(a1593) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1600)
        & ~ c2_1(a1600)
        & ~ c3_1(a1600) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a1612)
        & ~ c0_1(a1612)
        & ~ c2_1(a1612) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a1624)
        & ~ c2_1(a1624)
        & ~ c3_1(a1624) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a1632)
        & ~ c1_1(a1632)
        & ~ c2_1(a1632) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a1542)
        & c2_1(a1542)
        & c3_1(a1542) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1544)
        & c1_1(a1544)
        & c2_1(a1544) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1546)
        & c1_1(a1546)
        & c3_1(a1546) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1562)
        & c2_1(a1562)
        & c3_1(a1562) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp3
      | hskp0 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | c2_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | hskp30
      | hskp8 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp10
      | hskp4 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp12
      | hskp3 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | hskp14
      | hskp5 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp1
      | hskp28 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp8
      | hskp18 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | hskp6 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp30
      | hskp13 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp31
      | hskp3 )
    & ( ! [X108] :
          ( c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp19
      | hskp3 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp19
      | hskp13 )
    & ( ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | hskp28
      | hskp15 )
    & ( ! [X112] :
          ( c2_1(X112)
          | c3_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X114] :
          ( c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp19
      | hskp24 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X122] :
          ( c3_1(X122)
          | ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 )
      | hskp31
      | hskp7 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( hskp29
      | hskp19
      | hskp25 )
    & ( hskp14
      | hskp1
      | hskp4 )
    & ( hskp14
      | hskp20
      | hskp15 )
    & ( hskp31
      | hskp15
      | hskp7 )
    & ( hskp1
      | hskp15
      | hskp26 )
    & ( hskp10
      | hskp12
      | hskp3 )
    & ( hskp23
      | hskp3
      | hskp26 )
    & ( hskp5
      | hskp27
      | hskp9 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp5
    | hskp27
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp23
    | hskp3
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp10
    | hskp12
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp14
    | hskp20
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X125] :
      ( ~ c1_1(X125)
      | ~ c2_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X124] :
      ( ~ c0_1(X124)
      | ~ c1_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X122] :
      ( c3_1(X122)
      | ~ c0_1(X122)
      | ~ c1_1(X122)
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X120,X121] :
      ( c3_1(X120)
      | ~ c0_1(X120)
      | ~ c1_1(X120)
      | ~ ndr1_0
      | ~ c1_1(X121)
      | ~ c2_1(X121)
      | ~ c3_1(X121)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X118,X119] :
      ( c2_1(X118)
      | ~ c1_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | ~ c0_1(X119)
      | ~ c1_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X116,X117,X115] :
      ( c2_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | ~ c0_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ c3_1(X117)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X114] :
      ( c2_1(X114)
      | c3_1(X114)
      | ~ c1_1(X114)
      | ~ ndr1_0
      | hskp19
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | c3_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X111] :
      ( c2_1(X111)
      | c3_1(X111)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | hskp28
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | ~ c0_1(X110)
      | ~ ndr1_0
      | hskp19
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X109] :
      ( c2_1(X109)
      | c3_1(X109)
      | ~ c0_1(X109)
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X108] :
      ( c1_1(X108)
      | ~ c2_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp19
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X107] :
      ( c1_1(X107)
      | ~ c2_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | hskp31
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X106,X105] :
      ( c1_1(X105)
      | ~ c2_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | c3_1(X106)
      | ~ c0_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | ~ c0_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X98,X99] :
      ( c1_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | c2_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | c2_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X90,X91,X89] :
      ( c1_1(X89)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c0_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | ~ c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X88,X87] :
      ( c1_1(X87)
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | c2_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X74] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp11
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X68,X69,X67] :
      ( c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X63] :
      ( c0_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | hskp14
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X51] :
      ( c0_1(X51)
      | c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | hskp12
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X44] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | hskp10
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c3_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c0_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | c3_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | c2_1(X35)
      | c3_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c2_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp31
    | c3_1(a1562) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp31
    | c2_1(a1562) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp31
    | c0_1(a1562) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c2_1(a1544) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c1_1(a1544) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c0_1(a1544) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a1542) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a1542) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c1_1(a1542) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp26
    | ~ c3_1(a1624) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp26
    | ~ c2_1(a1624) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp26
    | ~ c0_1(a1624) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c3_1(a1600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | ~ c2_1(a1600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | c0_1(a1600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c2_1(a1593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | c3_1(a1593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c0_1(a1593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c3_1(a1581) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a1581) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | c2_1(a1581) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c1_1(a1575) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | ~ c0_1(a1575) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c2_1(a1575) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c2_1(a1574) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | c3_1(a1574) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c1_1(a1574) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c3_1(a1573) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | ~ c1_1(a1573) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c0_1(a1573) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c1_1(a1566) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | c3_1(a1566) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c2_1(a1566) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c3_1(a1565) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | ~ c2_1(a1565) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp15
    | c1_1(a1565) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c2_1(a1558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | c1_1(a1558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | c0_1(a1558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c2_1(a1556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c1_1(a1556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c0_1(a1554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | c2_1(a1554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c1_1(a1554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c1_1(a1553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | c2_1(a1553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c0_1(a1553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c1_1(a1549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | c3_1(a1549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c0_1(a1549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c3_1(a1548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | ~ c1_1(a1548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | ~ c0_1(a1548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c3_1(a1547) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | c1_1(a1547) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c0_1(a1547) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c2_1(a1543) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | ~ c1_1(a1543) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | c0_1(a1543) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c0_1(a1539) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | c3_1(a1539) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | c1_1(a1539) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c3_1(a1538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | ~ c2_1(a1538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | ~ c1_1(a1538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c2_1(a1536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | ~ c0_1(a1536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | c1_1(a1536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a1534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | c2_1(a1534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | c0_1(a1534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ! [X120,X121] :
      ( c3_1(X120)
      | ~ c0_1(X120)
      | ~ c1_1(X120)
      | ~ ndr1_0
      | ~ c1_1(X121)
      | ~ c2_1(X121)
      | ~ c3_1(X121)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f211,plain,
    ! [X118,X119] :
      ( c2_1(X118)
      | ~ c1_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | ~ c0_1(X119)
      | ~ c1_1(X119)
      | ~ c3_1(X119)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f212,plain,
    ! [X116,X117,X115] :
      ( c2_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | ~ c0_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ c3_1(X117) ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f213,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | c3_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ c3_1(X113)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f214,plain,
    ! [X106,X105] :
      ( c1_1(X105)
      | ~ c2_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | c3_1(X106)
      | ~ c0_1(X106)
      | ~ c2_1(X106)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f215,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | ~ c0_1(X104)
      | ~ c3_1(X104)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f217,plain,
    ! [X98,X99] :
      ( c1_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | c2_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f218,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | c2_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f220,plain,
    ! [X90,X91,X89] :
      ( c1_1(X89)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c0_1(X90)
      | ~ c2_1(X90)
      | ~ c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f221,plain,
    ! [X88,X87] :
      ( c1_1(X87)
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | c2_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f222,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f223,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f225,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f227,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f229,plain,
    ! [X68,X69,X67] :
      ( c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f230,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c3_1(X65)
      | ~ c0_1(X65)
      | hskp31 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f231,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c1_1(X62)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f232,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f234,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X56) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f236,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f237,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f238,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c0_1(X46)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f239,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c3_1(X43)
      | ~ c2_1(X43)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f240,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c0_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41) ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f242,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | c3_1(X34)
      | ~ c0_1(X34)
      | c2_1(X35)
      | c3_1(X35)
      | ~ c0_1(X35) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f243,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f245,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f249,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c2_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f251,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f252,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f257,definition,
    ( spl0_1
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_2
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_3
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f265,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f263,f260,f257]) ).

fof(f267,definition,
    ( spl0_4
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_5
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_6
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f275,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f273,f270,f267]) ).

fof(f277,definition,
    ( spl0_7
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f280,definition,
    ( spl0_8
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f282,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f280,f277,f270]) ).

fof(f284,definition,
    ( spl0_9
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f287,definition,
    ( spl0_10
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_12
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_13
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f301,definition,
    ( spl0_14
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f303,plain,
    ( spl0_9
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f301,f298,f284]) ).

fof(f305,definition,
    ( spl0_15
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_17
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_18
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_19
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_21
  <=> ! [X125] :
        ( ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ c2_1(X125) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X125] :
        ( ~ c3_1(X125)
        | ~ c1_1(X125)
        | ~ c2_1(X125) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f327,plain,
    ( spl0_19
    | spl0_14
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f14,f325,f322,f301,f319]) ).

fof(f329,definition,
    ( spl0_22
  <=> ! [X124] :
        ( ~ c0_1(X124)
        | ~ c3_1(X124)
        | ~ c1_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X124] :
        ( ~ c3_1(X124)
        | ~ c0_1(X124)
        | ~ c1_1(X124) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( spl0_8
    | ~ spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f15,f329,f322,f280]) ).

fof(f333,definition,
    ( spl0_23
  <=> ! [X123] :
        ( ~ c0_1(X123)
        | ~ c2_1(X123)
        | ~ c1_1(X123) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X123] :
        ( ~ c1_1(X123)
        | ~ c2_1(X123)
        | ~ c0_1(X123) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f337,definition,
    ( spl0_24
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f340,definition,
    ( spl0_25
  <=> ! [X122] :
        ( c3_1(X122)
        | ~ c1_1(X122)
        | ~ c0_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f341,plain,
    ( ! [X122] :
        ( c3_1(X122)
        | ~ c1_1(X122)
        | ~ c0_1(X122) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f342,plain,
    ( spl0_24
    | spl0_13
    | ~ spl0_20
    | spl0_25 ),
    inference(avatar_split_clause,[],[f17,f340,f322,f298,f337]) ).

fof(f343,plain,
    ( spl0_6
    | spl0_21
    | ~ spl0_20
    | spl0_25 ),
    inference(avatar_split_clause,[],[f210,f340,f322,f325,f273]) ).

fof(f345,definition,
    ( spl0_26
  <=> ! [X118] :
        ( c2_1(X118)
        | ~ c3_1(X118)
        | ~ c1_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X118] :
        ( ~ c3_1(X118)
        | c2_1(X118)
        | ~ c1_1(X118) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_3
    | spl0_22
    | ~ spl0_20
    | spl0_26 ),
    inference(avatar_split_clause,[],[f211,f345,f322,f329,f263]) ).

fof(f348,plain,
    ( spl0_21
    | spl0_23
    | ~ spl0_20
    | spl0_26 ),
    inference(avatar_split_clause,[],[f212,f345,f322,f333,f325]) ).

fof(f350,definition,
    ( spl0_27
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f353,definition,
    ( spl0_28
  <=> ! [X114] :
        ( c2_1(X114)
        | ~ c1_1(X114)
        | c3_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X114] :
        ( c3_1(X114)
        | ~ c1_1(X114)
        | c2_1(X114) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f355,plain,
    ( spl0_27
    | spl0_17
    | ~ spl0_20
    | spl0_28 ),
    inference(avatar_split_clause,[],[f21,f353,f322,f312,f350]) ).

fof(f356,plain,
    ( spl0_9
    | spl0_22
    | ~ spl0_20
    | spl0_28 ),
    inference(avatar_split_clause,[],[f213,f353,f322,f329,f284]) ).

fof(f358,definition,
    ( spl0_29
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_30
  <=> ! [X111] :
        ( c2_1(X111)
        | ~ c0_1(X111)
        | c3_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X111] :
        ( c3_1(X111)
        | ~ c0_1(X111)
        | c2_1(X111) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f363,plain,
    ( spl0_9
    | spl0_29
    | ~ spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f23,f361,f322,f358,f284]) ).

fof(f365,definition,
    ( spl0_31
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f367,plain,
    ( spl0_31
    | spl0_17
    | ~ spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f24,f361,f322,f312,f365]) ).

fof(f369,definition,
    ( spl0_32
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f371,plain,
    ( spl0_6
    | spl0_32
    | ~ spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f25,f361,f322,f369,f273]) ).

fof(f373,definition,
    ( spl0_33
  <=> ! [X108] :
        ( c1_1(X108)
        | ~ c3_1(X108)
        | ~ c2_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X108] :
        ( ~ c3_1(X108)
        | c1_1(X108)
        | ~ c2_1(X108) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_5
    | spl0_17
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f26,f373,f322,f312,f270]) ).

fof(f376,plain,
    ( spl0_5
    | spl0_12
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f27,f373,f322,f294,f270]) ).

fof(f378,definition,
    ( spl0_34
  <=> ! [X106] :
        ( c3_1(X106)
        | ~ c2_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X106] :
        ( c3_1(X106)
        | ~ c2_1(X106)
        | ~ c0_1(X106) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( spl0_17
    | spl0_34
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f214,f373,f322,f378,f312]) ).

fof(f382,definition,
    ( spl0_35
  <=> ! [X104] :
        ( c2_1(X104)
        | ~ c3_1(X104)
        | ~ c0_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X104] :
        ( ~ c3_1(X104)
        | c2_1(X104)
        | ~ c0_1(X104) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f215,f373,f322,f382,f284]) ).

fof(f389,definition,
    ( spl0_37
  <=> ! [X102] :
        ( c1_1(X102)
        | ~ c3_1(X102)
        | ~ c0_1(X102) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | c1_1(X102)
        | ~ c0_1(X102) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f396,plain,
    ( spl0_14
    | spl0_26
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f217,f389,f322,f345,f301]) ).

fof(f398,definition,
    ( spl0_39
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c1_1(X97)
        | ~ c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c2_1(X97)
        | ~ c0_1(X97) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_19
    | spl0_39
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f218,f389,f322,f398,f319]) ).

fof(f402,definition,
    ( spl0_40
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f405,definition,
    ( spl0_41
  <=> ! [X95] :
        ( c1_1(X95)
        | ~ c2_1(X95)
        | ~ c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X95] :
        ( c1_1(X95)
        | ~ c2_1(X95)
        | ~ c0_1(X95) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f410,plain,
    ( spl0_21
    | spl0_34
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f220,f405,f322,f378,f325]) ).

fof(f411,plain,
    ( spl0_24
    | spl0_39
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f221,f405,f322,f398,f337]) ).

fof(f412,plain,
    ( spl0_13
    | spl0_28
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f222,f405,f322,f353,f298]) ).

fof(f413,plain,
    ( spl0_17
    | spl0_30
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f223,f405,f322,f361,f312]) ).

fof(f418,definition,
    ( spl0_43
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c2_1(X82)
        | c3_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | c1_1(X82) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f425,definition,
    ( spl0_45
  <=> ! [X80] :
        ( c1_1(X80)
        | ~ c0_1(X80)
        | c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | ~ c0_1(X80)
        | c1_1(X80) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,plain,
    ( spl0_22
    | spl0_41
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f225,f425,f322,f405,f329]) ).

fof(f430,definition,
    ( spl0_46
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | ~ c0_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f433,definition,
    ( spl0_47
  <=> ! [X75] :
        ( c1_1(X75)
        | ~ c3_1(X75)
        | c2_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c1_1(X75)
        | c2_1(X75) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f437,definition,
    ( spl0_48
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_49
  <=> ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | c2_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_10
    | spl0_48
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f45,f440,f322,f437,f287]) ).

fof(f444,definition,
    ( spl0_50
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f446,plain,
    ( spl0_50
    | spl0_28
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f227,f440,f322,f353,f444]) ).

fof(f452,definition,
    ( spl0_52
  <=> ! [X67] :
        ( c0_1(X67)
        | ~ c3_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( spl0_35
    | spl0_47
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f229,f452,f322,f433,f382]) ).

fof(f456,definition,
    ( spl0_53
  <=> ! [X66] :
        ( c0_1(X66)
        | ~ c3_1(X66)
        | ~ c1_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | ~ c1_1(X66) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f459,plain,
    ( spl0_12
    | spl0_45
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f230,f456,f322,f425,f294]) ).

fof(f461,definition,
    ( spl0_54
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c2_1(X63)
        | ~ c1_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f462,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | ~ c2_1(X63)
        | c0_1(X63) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f463,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f51,f461,f322,f301,f263]) ).

fof(f464,plain,
    ( spl0_8
    | spl0_39
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f231,f461,f322,f398,f280]) ).

fof(f465,plain,
    ( spl0_14
    | spl0_28
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f232,f461,f322,f353,f301]) ).

fof(f470,plain,
    ( spl0_37
    | spl0_52
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f234,f461,f322,f452,f389]) ).

fof(f476,definition,
    ( spl0_57
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | c2_1(X51) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f57,f476,f322,f277,f270]) ).

fof(f479,plain,
    ( spl0_48
    | spl0_21
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f236,f476,f322,f325,f437]) ).

fof(f480,plain,
    ( spl0_15
    | spl0_46
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f237,f476,f322,f430,f305]) ).

fof(f481,plain,
    ( spl0_5
    | spl0_49
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f238,f476,f322,f440,f270]) ).

fof(f483,definition,
    ( spl0_58
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c1_1(X44)
        | c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X44] :
        ( ~ c1_1(X44)
        | c0_1(X44)
        | c2_1(X44) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( spl0_15
    | spl0_8
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f61,f483,f322,f280,f305]) ).

fof(f486,plain,
    ( spl0_1
    | spl0_43
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f239,f483,f322,f418,f257]) ).

fof(f487,plain,
    ( spl0_21
    | spl0_57
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f240,f483,f322,f476,f325]) ).

fof(f489,definition,
    ( spl0_59
  <=> ! [X38] :
        ( c0_1(X38)
        | c3_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X38] :
        ( c3_1(X38)
        | c0_1(X38)
        | c2_1(X38) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f493,plain,
    ( spl0_30
    | spl0_45
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f242,f489,f322,f425,f361]) ).

fof(f494,plain,
    ( spl0_18
    | spl0_53
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f243,f489,f322,f456,f315]) ).

fof(f499,plain,
    ( spl0_40
    | spl0_57
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f245,f489,f322,f476,f402]) ).

fof(f507,definition,
    ( spl0_62
  <=> ! [X15] :
        ( c0_1(X15)
        | ~ c2_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X15] :
        ( c1_1(X15)
        | ~ c2_1(X15)
        | c0_1(X15) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( spl0_29
    | spl0_26
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f249,f507,f322,f345,f358]) ).

fof(f512,definition,
    ( spl0_63
  <=> ! [X11] :
        ( c0_1(X11)
        | c3_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f513,plain,
    ( ! [X11] :
        ( c3_1(X11)
        | c0_1(X11)
        | c1_1(X11) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f514,plain,
    ( spl0_5
    | spl0_22
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f251,f512,f322,f329,f270]) ).

fof(f515,plain,
    ( spl0_3
    | spl0_25
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f252,f512,f322,f340,f263]) ).

fof(f528,definition,
    ( spl0_66
  <=> c3_1(a1562) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f529,plain,
    ( c3_1(a1562)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f531,plain,
    ( spl0_66
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f82,f294,f528]) ).

fof(f533,definition,
    ( spl0_67
  <=> c2_1(a1562) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f535,plain,
    ( spl0_67
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f83,f294,f533]) ).

fof(f537,definition,
    ( spl0_68
  <=> c0_1(a1562) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f539,plain,
    ( spl0_68
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f84,f294,f537]) ).

fof(f557,definition,
    ( spl0_72
  <=> c2_1(a1544) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f560,plain,
    ( spl0_72
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f90,f315,f557]) ).

fof(f562,definition,
    ( spl0_73
  <=> c1_1(a1544) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f563,plain,
    ( c1_1(a1544)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( spl0_73
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f91,f315,f562]) ).

fof(f566,definition,
    ( spl0_74
  <=> c0_1(a1544) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f568,plain,
    ( spl0_74
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f92,f315,f566]) ).

fof(f571,definition,
    ( spl0_75
  <=> c3_1(a1542) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f572,plain,
    ( c3_1(a1542)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( spl0_75
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f358,f571]) ).

fof(f576,definition,
    ( spl0_76
  <=> c2_1(a1542) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f578,plain,
    ( spl0_76
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f358,f576]) ).

fof(f580,definition,
    ( spl0_77
  <=> c1_1(a1542) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f581,plain,
    ( c1_1(a1542)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f582,plain,
    ( spl0_77
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f96,f358,f580]) ).

fof(f597,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f101,f260,f322]) ).

fof(f599,definition,
    ( spl0_81
  <=> c3_1(a1624) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ c3_1(a1624)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f602,plain,
    ( ~ spl0_81
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f102,f267,f599]) ).

fof(f604,definition,
    ( spl0_82
  <=> c2_1(a1624) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f606,plain,
    ( ~ spl0_82
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f103,f267,f604]) ).

fof(f608,definition,
    ( spl0_83
  <=> c0_1(a1624) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f610,plain,
    ( ~ spl0_83
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f104,f267,f608]) ).

fof(f627,definition,
    ( spl0_87
  <=> c3_1(a1600) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c3_1(a1600)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f630,plain,
    ( ~ spl0_87
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f110,f350,f627]) ).

fof(f632,definition,
    ( spl0_88
  <=> c2_1(a1600) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ spl0_88
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f111,f350,f632]) ).

fof(f636,definition,
    ( spl0_89
  <=> c0_1(a1600) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f638,plain,
    ( spl0_89
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f112,f350,f636]) ).

fof(f641,definition,
    ( spl0_90
  <=> c2_1(a1593) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ spl0_90
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f114,f273,f641]) ).

fof(f646,definition,
    ( spl0_91
  <=> c3_1(a1593) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f647,plain,
    ( c3_1(a1593)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f648,plain,
    ( spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f115,f273,f646]) ).

fof(f650,definition,
    ( spl0_92
  <=> c0_1(a1593) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f652,plain,
    ( spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f116,f273,f650]) ).

fof(f655,definition,
    ( spl0_93
  <=> c3_1(a1581) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f656,plain,
    ( ~ c3_1(a1581)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( ~ spl0_93
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f118,f319,f655]) ).

fof(f660,definition,
    ( spl0_94
  <=> c1_1(a1581) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ c1_1(a1581)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f662,plain,
    ( ~ spl0_94
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f119,f319,f660]) ).

fof(f664,definition,
    ( spl0_95
  <=> c2_1(a1581) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_95
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f120,f319,f664]) ).

fof(f669,definition,
    ( spl0_96
  <=> c1_1(a1575) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c1_1(a1575)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f672,plain,
    ( ~ spl0_96
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f122,f337,f669]) ).

fof(f674,definition,
    ( spl0_97
  <=> c0_1(a1575) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f676,plain,
    ( ~ spl0_97
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f123,f337,f674]) ).

fof(f678,definition,
    ( spl0_98
  <=> c2_1(a1575) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f680,plain,
    ( spl0_98
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f124,f337,f678]) ).

fof(f683,definition,
    ( spl0_99
  <=> c2_1(a1574) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_99
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f126,f298,f683]) ).

fof(f688,definition,
    ( spl0_100
  <=> c3_1(a1574) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f689,plain,
    ( c3_1(a1574)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_100
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f127,f298,f688]) ).

fof(f692,definition,
    ( spl0_101
  <=> c1_1(a1574) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f693,plain,
    ( c1_1(a1574)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f694,plain,
    ( spl0_101
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f128,f298,f692]) ).

fof(f697,definition,
    ( spl0_102
  <=> c3_1(a1573) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f698,plain,
    ( ~ c3_1(a1573)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f700,plain,
    ( ~ spl0_102
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f130,f312,f697]) ).

fof(f702,definition,
    ( spl0_103
  <=> c1_1(a1573) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ c1_1(a1573)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f704,plain,
    ( ~ spl0_103
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f131,f312,f702]) ).

fof(f706,definition,
    ( spl0_104
  <=> c0_1(a1573) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_104
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f132,f312,f706]) ).

fof(f739,definition,
    ( spl0_111
  <=> c1_1(a1566) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ c1_1(a1566)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f742,plain,
    ( ~ spl0_111
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f142,f444,f739]) ).

fof(f744,definition,
    ( spl0_112
  <=> c3_1(a1566) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f745,plain,
    ( c3_1(a1566)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_112
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f143,f444,f744]) ).

fof(f748,definition,
    ( spl0_113
  <=> c2_1(a1566) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_113
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f144,f444,f748]) ).

fof(f753,definition,
    ( spl0_114
  <=> c3_1(a1565) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f754,plain,
    ( ~ c3_1(a1565)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( ~ spl0_114
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f146,f284,f753]) ).

fof(f758,definition,
    ( spl0_115
  <=> c2_1(a1565) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ spl0_115
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f147,f284,f758]) ).

fof(f762,definition,
    ( spl0_116
  <=> c1_1(a1565) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f764,plain,
    ( spl0_116
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f148,f284,f762]) ).

fof(f767,definition,
    ( spl0_117
  <=> c2_1(a1558) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ spl0_117
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f150,f301,f767]) ).

fof(f772,definition,
    ( spl0_118
  <=> c1_1(a1558) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f773,plain,
    ( c1_1(a1558)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f774,plain,
    ( spl0_118
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f151,f301,f772]) ).

fof(f776,definition,
    ( spl0_119
  <=> c0_1(a1558) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_119
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f152,f301,f776]) ).

fof(f786,definition,
    ( spl0_121
  <=> c2_1(a1556) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f788,plain,
    ( spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f155,f365,f786]) ).

fof(f790,definition,
    ( spl0_122
  <=> c1_1(a1556) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f791,plain,
    ( c1_1(a1556)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f792,plain,
    ( spl0_122
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f156,f365,f790]) ).

fof(f795,definition,
    ( spl0_123
  <=> c0_1(a1554) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ spl0_123
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f158,f277,f795]) ).

fof(f800,definition,
    ( spl0_124
  <=> c2_1(a1554) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f802,plain,
    ( spl0_124
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f159,f277,f800]) ).

fof(f804,definition,
    ( spl0_125
  <=> c1_1(a1554) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f805,plain,
    ( c1_1(a1554)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( spl0_125
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f160,f277,f804]) ).

fof(f809,definition,
    ( spl0_126
  <=> c1_1(a1553) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ c1_1(a1553)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f812,plain,
    ( ~ spl0_126
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f162,f437,f809]) ).

fof(f814,definition,
    ( spl0_127
  <=> c2_1(a1553) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f816,plain,
    ( spl0_127
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f163,f437,f814]) ).

fof(f818,definition,
    ( spl0_128
  <=> c0_1(a1553) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f820,plain,
    ( spl0_128
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f164,f437,f818]) ).

fof(f823,definition,
    ( spl0_129
  <=> c1_1(a1549) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f824,plain,
    ( ~ c1_1(a1549)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( ~ spl0_129
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f166,f280,f823]) ).

fof(f828,definition,
    ( spl0_130
  <=> c3_1(a1549) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f829,plain,
    ( c3_1(a1549)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f830,plain,
    ( spl0_130
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f167,f280,f828]) ).

fof(f832,definition,
    ( spl0_131
  <=> c0_1(a1549) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f834,plain,
    ( spl0_131
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f168,f280,f832]) ).

fof(f837,definition,
    ( spl0_132
  <=> c3_1(a1548) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f838,plain,
    ( ~ c3_1(a1548)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( ~ spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f257,f837]) ).

fof(f842,definition,
    ( spl0_133
  <=> c1_1(a1548) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f843,plain,
    ( ~ c1_1(a1548)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f844,plain,
    ( ~ spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f257,f842]) ).

fof(f846,definition,
    ( spl0_134
  <=> c0_1(a1548) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f848,plain,
    ( ~ spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f257,f846]) ).

fof(f849,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f257,f322]) ).

fof(f851,definition,
    ( spl0_135
  <=> c3_1(a1547) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c3_1(a1547)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( ~ spl0_135
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f174,f369,f851]) ).

fof(f856,definition,
    ( spl0_136
  <=> c1_1(a1547) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f857,plain,
    ( c1_1(a1547)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f858,plain,
    ( spl0_136
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f175,f369,f856]) ).

fof(f860,definition,
    ( spl0_137
  <=> c0_1(a1547) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_137
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f176,f369,f860]) ).

fof(f879,definition,
    ( spl0_141
  <=> c2_1(a1543) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ spl0_141
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f182,f402,f879]) ).

fof(f884,definition,
    ( spl0_142
  <=> c1_1(a1543) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ c1_1(a1543)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f886,plain,
    ( ~ spl0_142
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f183,f402,f884]) ).

fof(f888,definition,
    ( spl0_143
  <=> c0_1(a1543) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f890,plain,
    ( spl0_143
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f184,f402,f888]) ).

fof(f893,definition,
    ( spl0_144
  <=> c0_1(a1539) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f896,plain,
    ( ~ spl0_144
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f186,f263,f893]) ).

fof(f898,definition,
    ( spl0_145
  <=> c3_1(a1539) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f899,plain,
    ( c3_1(a1539)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f900,plain,
    ( spl0_145
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f187,f263,f898]) ).

fof(f902,definition,
    ( spl0_146
  <=> c1_1(a1539) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f903,plain,
    ( c1_1(a1539)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f904,plain,
    ( spl0_146
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f188,f263,f902]) ).

fof(f905,plain,
    ( spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f189,f263,f322]) ).

fof(f907,definition,
    ( spl0_147
  <=> c3_1(a1538) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f908,plain,
    ( ~ c3_1(a1538)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( ~ spl0_147
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f190,f305,f907]) ).

fof(f912,definition,
    ( spl0_148
  <=> c2_1(a1538) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f914,plain,
    ( ~ spl0_148
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f191,f305,f912]) ).

fof(f916,definition,
    ( spl0_149
  <=> c1_1(a1538) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ c1_1(a1538)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f918,plain,
    ( ~ spl0_149
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f192,f305,f916]) ).

fof(f921,definition,
    ( spl0_150
  <=> c2_1(a1536) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ spl0_150
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f194,f270,f921]) ).

fof(f926,definition,
    ( spl0_151
  <=> c0_1(a1536) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f928,plain,
    ( ~ spl0_151
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f195,f270,f926]) ).

fof(f930,definition,
    ( spl0_152
  <=> c1_1(a1536) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f931,plain,
    ( c1_1(a1536)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f932,plain,
    ( spl0_152
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f196,f270,f930]) ).

fof(f949,definition,
    ( spl0_156
  <=> c3_1(a1534) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f950,plain,
    ( ~ c3_1(a1534)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f952,plain,
    ( ~ spl0_156
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f202,f287,f949]) ).

fof(f954,definition,
    ( spl0_157
  <=> c2_1(a1534) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f956,plain,
    ( spl0_157
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f203,f287,f954]) ).

fof(f958,definition,
    ( spl0_158
  <=> c0_1(a1534) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f960,plain,
    ( spl0_158
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f204,f287,f958]) ).

fof(f976,plain,
    ( ~ c1_1(a1562)
    | ~ c2_1(a1562)
    | ~ spl0_21
    | ~ spl0_66 ),
    inference(resolution,[],[f326,f529]) ).

fof(f980,definition,
    ( spl0_162
  <=> c1_1(a1562) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f981,plain,
    ( ~ c1_1(a1562)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f982,plain,
    ( ~ spl0_67
    | ~ spl0_162
    | ~ spl0_21
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f976,f528,f325,f980,f533]) ).

fof(f983,plain,
    ( ~ c0_1(a1562)
    | ~ c1_1(a1562)
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(resolution,[],[f330,f529]) ).

fof(f987,definition,
    ( spl0_163
  <=> c0_1(a1574) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ spl0_162
    | ~ spl0_68
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f983,f528,f329,f537,f980]) ).

fof(f992,plain,
    ( ~ c2_1(a1544)
    | ~ c0_1(a1544)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f334,f563]) ).

fof(f997,plain,
    ( ~ spl0_74
    | ~ spl0_72
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f992,f562,f333,f557,f566]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(resolution,[],[f341,f326]) ).

fof(f1002,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1001]) ).

fof(f1004,plain,
    ( spl0_23
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1002,f340,f325,f333]) ).

fof(f1011,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(resolution,[],[f354,f330]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1011]) ).

fof(f1015,plain,
    ( spl0_39
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1014,f353,f329,f398]) ).

fof(f1021,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(resolution,[],[f362,f330]) ).

fof(f1023,plain,
    ( ~ c0_1(a1538)
    | c2_1(a1538)
    | ~ spl0_30
    | spl0_147 ),
    inference(resolution,[],[f362,f908]) ).

fof(f1024,plain,
    ( ~ c0_1(a1600)
    | c2_1(a1600)
    | ~ spl0_30
    | spl0_87 ),
    inference(resolution,[],[f362,f628]) ).

fof(f1026,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1021]) ).

fof(f1032,definition,
    ( spl0_165
  <=> c0_1(a1538) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1034,plain,
    ( spl0_148
    | ~ spl0_165
    | ~ spl0_30
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1023,f907,f361,f1032,f912]) ).

fof(f1035,plain,
    ( spl0_39
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1026,f361,f329,f398]) ).

fof(f1042,definition,
    ( spl0_166
  <=> c0_1(a1542) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1048,definition,
    ( spl0_167
  <=> c1_1(a1593) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ c1_1(a1593)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1071,plain,
    ( c1_1(a1562)
    | ~ c0_1(a1562)
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(resolution,[],[f390,f529]) ).

fof(f1072,plain,
    ( ~ spl0_68
    | spl0_162
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1071,f528,f389,f980,f537]) ).

fof(f1079,plain,
    ( c2_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(resolution,[],[f346,f689]) ).

fof(f1083,plain,
    ( ~ spl0_101
    | spl0_99
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1079,f688,f345,f683,f692]) ).

fof(f1086,plain,
    ( ~ c2_1(a1573)
    | ~ c0_1(a1573)
    | ~ spl0_41
    | spl0_103 ),
    inference(resolution,[],[f406,f703]) ).

fof(f1092,plain,
    ( ~ c2_1(a1562)
    | ~ c0_1(a1562)
    | ~ spl0_41
    | spl0_162 ),
    inference(resolution,[],[f406,f981]) ).

fof(f1093,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_41
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1092,f980,f405,f533,f537]) ).

fof(f1096,definition,
    ( spl0_168
  <=> c0_1(a1581) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1102,definition,
    ( spl0_169
  <=> c2_1(a1573) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c2_1(a1556)
    | ~ c0_1(a1556)
    | ~ spl0_23
    | ~ spl0_122 ),
    inference(resolution,[],[f334,f791]) ).

fof(f1113,definition,
    ( spl0_170
  <=> c0_1(a1556) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1116,plain,
    ( ~ spl0_170
    | ~ spl0_121
    | ~ spl0_23
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1108,f790,f333,f786,f1113]) ).

fof(f1123,plain,
    ( ~ c2_1(a1581)
    | c1_1(a1581)
    | ~ spl0_43
    | spl0_93 ),
    inference(resolution,[],[f419,f656]) ).

fof(f1145,plain,
    ( c1_1(a1593)
    | c2_1(a1593)
    | ~ spl0_47
    | ~ spl0_91 ),
    inference(resolution,[],[f434,f647]) ).

fof(f1156,plain,
    ( ~ c0_1(a1538)
    | c2_1(a1538)
    | ~ spl0_49
    | spl0_149 ),
    inference(resolution,[],[f441,f917]) ).

fof(f1158,plain,
    ( ~ c0_1(a1573)
    | c2_1(a1573)
    | ~ spl0_49
    | spl0_103 ),
    inference(resolution,[],[f441,f703]) ).

fof(f1161,plain,
    ( ~ c0_1(a1593)
    | c2_1(a1593)
    | ~ spl0_49
    | spl0_167 ),
    inference(resolution,[],[f441,f1049]) ).

fof(f1167,plain,
    ( spl0_90
    | ~ spl0_92
    | ~ spl0_49
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1161,f1048,f440,f650,f641]) ).

fof(f1171,plain,
    ( ~ c2_1(a1566)
    | ~ c0_1(a1566)
    | ~ spl0_41
    | spl0_111 ),
    inference(resolution,[],[f740,f406]) ).

fof(f1173,definition,
    ( spl0_173
  <=> c0_1(a1566) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1176,plain,
    ( ~ spl0_173
    | ~ spl0_113
    | ~ spl0_41
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1171,f739,f405,f748,f1173]) ).

fof(f1181,plain,
    ( ~ c2_1(a1553)
    | ~ c0_1(a1553)
    | ~ spl0_41
    | spl0_126 ),
    inference(resolution,[],[f810,f406]) ).

fof(f1184,plain,
    ( ~ spl0_128
    | ~ spl0_127
    | ~ spl0_41
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1181,f809,f405,f814,f818]) ).

fof(f1200,definition,
    ( spl0_174
  <=> c1_1(a1600) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1209,definition,
    ( spl0_175
  <=> c2_1(a1549) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1225,plain,
    ( ~ c1_1(a1565)
    | c2_1(a1565)
    | ~ spl0_28
    | spl0_114 ),
    inference(resolution,[],[f354,f754]) ).

fof(f1239,definition,
    ( spl0_177
  <=> c2_1(a1548) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1248,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(resolution,[],[f341,f346]) ).

fof(f1256,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1248]) ).

fof(f1260,definition,
    ( spl0_178
  <=> c0_1(a1565) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1268,plain,
    ( spl0_39
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1256,f345,f340,f398]) ).

fof(f1280,plain,
    ( ~ c1_1(a1542)
    | ~ c2_1(a1542)
    | ~ spl0_21
    | ~ spl0_75 ),
    inference(resolution,[],[f326,f572]) ).

fof(f1287,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(resolution,[],[f362,f346]) ).

fof(f1293,plain,
    ( ~ c0_1(a1573)
    | c2_1(a1573)
    | ~ spl0_30
    | spl0_102 ),
    inference(resolution,[],[f362,f698]) ).

fof(f1295,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1287]) ).

fof(f1297,plain,
    ( spl0_169
    | ~ spl0_104
    | ~ spl0_30
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1293,f697,f361,f706,f1102]) ).

fof(f1299,plain,
    ( spl0_39
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1295,f361,f345,f398]) ).

fof(f1300,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(resolution,[],[f379,f326]) ).

fof(f1303,plain,
    ( ~ c2_1(a1534)
    | ~ c0_1(a1534)
    | ~ spl0_34
    | spl0_156 ),
    inference(resolution,[],[f379,f950]) ).

fof(f1308,plain,
    ( ~ c2_1(a1573)
    | ~ c0_1(a1573)
    | ~ spl0_34
    | spl0_102 ),
    inference(resolution,[],[f379,f698]) ).

fof(f1311,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1300]) ).

fof(f1312,plain,
    ( ~ spl0_104
    | ~ spl0_169
    | ~ spl0_34
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1308,f697,f378,f1102,f706]) ).

fof(f1315,plain,
    ( ~ spl0_158
    | ~ spl0_157
    | ~ spl0_34
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1303,f949,f378,f954,f958]) ).

fof(f1316,plain,
    ( spl0_23
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1311,f378,f325,f333]) ).

fof(f1321,plain,
    ( c1_1(a1549)
    | ~ c2_1(a1549)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f374,f829]) ).

fof(f1322,plain,
    ( c1_1(a1566)
    | ~ c2_1(a1566)
    | ~ spl0_33
    | ~ spl0_112 ),
    inference(resolution,[],[f374,f745]) ).

fof(f1332,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_33
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1322,f744,f373,f739,f748]) ).

fof(f1334,plain,
    ( ~ spl0_175
    | spl0_129
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1321,f828,f373,f823,f1209]) ).

fof(f1336,plain,
    ( spl0_94
    | ~ spl0_95
    | ~ spl0_43
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1123,f655,f418,f664,f660]) ).

fof(f1341,definition,
    ( spl0_180
  <=> c2_1(a1547) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1349,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(resolution,[],[f383,f354]) ).

fof(f1351,plain,
    ( c2_1(a1549)
    | ~ c0_1(a1549)
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(resolution,[],[f383,f829]) ).

fof(f1356,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1349]) ).

fof(f1359,plain,
    ( ~ spl0_131
    | spl0_175
    | ~ spl0_35
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1351,f828,f382,f1209,f832]) ).

fof(f1361,plain,
    ( spl0_39
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1356,f382,f353,f398]) ).

fof(f1362,plain,
    ( spl0_148
    | ~ spl0_165
    | ~ spl0_49
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1156,f916,f440,f1032,f912]) ).

fof(f1372,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_37 ),
    inference(resolution,[],[f390,f362]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1372]) ).

fof(f1381,plain,
    ( spl0_49
    | ~ spl0_30
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1379,f389,f361,f440]) ).

fof(f1384,plain,
    ( c2_1(a1547)
    | ~ c0_1(a1547)
    | ~ spl0_39
    | ~ spl0_136 ),
    inference(resolution,[],[f399,f857]) ).

fof(f1387,plain,
    ( c2_1(a1558)
    | ~ c0_1(a1558)
    | ~ spl0_39
    | ~ spl0_118 ),
    inference(resolution,[],[f399,f773]) ).

fof(f1399,plain,
    ( ~ c0_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_22
    | ~ spl0_100 ),
    inference(resolution,[],[f689,f330]) ).

fof(f1404,plain,
    ( c2_1(a1574)
    | ~ c0_1(a1574)
    | ~ spl0_39
    | ~ spl0_101 ),
    inference(resolution,[],[f693,f399]) ).

fof(f1408,plain,
    ( ~ c0_1(a1549)
    | c2_1(a1549)
    | ~ spl0_49
    | spl0_129 ),
    inference(resolution,[],[f441,f824]) ).

fof(f1420,plain,
    ( spl0_175
    | ~ spl0_131
    | ~ spl0_49
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1408,f823,f440,f832,f1209]) ).

fof(f1438,plain,
    ( c0_1(a1574)
    | ~ c1_1(a1574)
    | ~ spl0_53
    | ~ spl0_100 ),
    inference(resolution,[],[f457,f689]) ).

fof(f1518,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(resolution,[],[f477,f354]) ).

fof(f1522,plain,
    ( c0_1(a1574)
    | c2_1(a1574)
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(resolution,[],[f477,f689]) ).

fof(f1525,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1518]) ).

fof(f1529,plain,
    ( spl0_99
    | spl0_163
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1522,f688,f476,f987,f683]) ).

fof(f1533,plain,
    ( spl0_58
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1525,f476,f353,f483]) ).

fof(f1564,plain,
    ( ~ c2_1(a1581)
    | ~ c0_1(a1581)
    | ~ spl0_41
    | spl0_94 ),
    inference(resolution,[],[f661,f406]) ).

fof(f1565,plain,
    ( ~ spl0_168
    | ~ spl0_95
    | ~ spl0_41
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1564,f660,f405,f664,f1096]) ).

fof(f1576,definition,
    ( spl0_181
  <=> c2_1(a1539) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1622,plain,
    ( ~ c2_1(a1548)
    | c0_1(a1548)
    | ~ spl0_62
    | spl0_133 ),
    inference(resolution,[],[f508,f843]) ).

fof(f1626,plain,
    ( ~ c2_1(a1575)
    | c0_1(a1575)
    | ~ spl0_62
    | spl0_96 ),
    inference(resolution,[],[f508,f670]) ).

fof(f1627,plain,
    ( ~ c2_1(a1581)
    | c0_1(a1581)
    | ~ spl0_62
    | spl0_94 ),
    inference(resolution,[],[f508,f661]) ).

fof(f1644,plain,
    ( c0_1(a1542)
    | ~ c2_1(a1542)
    | ~ spl0_52
    | ~ spl0_75 ),
    inference(resolution,[],[f572,f453]) ).

fof(f1648,plain,
    ( ~ spl0_76
    | spl0_166
    | ~ spl0_52
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1644,f571,f452,f1042,f576]) ).

fof(f1653,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_59 ),
    inference(resolution,[],[f346,f490]) ).

fof(f1657,plain,
    ( c2_1(a1539)
    | ~ c1_1(a1539)
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(resolution,[],[f346,f899]) ).

fof(f1660,plain,
    ( c2_1(a1593)
    | ~ c1_1(a1593)
    | ~ spl0_26
    | ~ spl0_91 ),
    inference(resolution,[],[f346,f647]) ).

fof(f1665,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1653]) ).

fof(f1670,plain,
    ( ~ spl0_146
    | spl0_181
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1657,f898,f345,f1576,f902]) ).

fof(f1671,plain,
    ( spl0_58
    | ~ spl0_26
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1665,f489,f345,f483]) ).

fof(f1679,plain,
    ( c0_1(a1539)
    | c2_1(a1539)
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(resolution,[],[f477,f899]) ).

fof(f1690,plain,
    ( c0_1(a1536)
    | c2_1(a1536)
    | ~ spl0_58
    | ~ spl0_152 ),
    inference(resolution,[],[f484,f931]) ).

fof(f1696,plain,
    ( c0_1(a1574)
    | c2_1(a1574)
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(resolution,[],[f484,f693]) ).

fof(f1701,plain,
    ( spl0_99
    | spl0_163
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1696,f692,f483,f987,f683]) ).

fof(f1702,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_58
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1690,f930,f483,f926,f921]) ).

fof(f1704,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(resolution,[],[f513,f374]) ).

fof(f1711,plain,
    ( c0_1(a1548)
    | c1_1(a1548)
    | ~ spl0_63
    | spl0_132 ),
    inference(resolution,[],[f513,f838]) ).

fof(f1719,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(duplicate_literal_removal,[],[f1704]) ).

fof(f1722,plain,
    ( spl0_133
    | spl0_134
    | ~ spl0_63
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1711,f837,f512,f846,f842]) ).

fof(f1726,plain,
    ( spl0_62
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1719,f512,f373,f507]) ).

fof(f1731,plain,
    ( spl0_90
    | spl0_167
    | ~ spl0_47
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1145,f646,f433,f1048,f641]) ).

fof(f1734,plain,
    ( ~ spl0_167
    | spl0_90
    | ~ spl0_26
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1660,f646,f345,f641,f1048]) ).

fof(f1746,plain,
    ( ~ spl0_137
    | spl0_180
    | ~ spl0_39
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1384,f856,f398,f1341,f860]) ).

fof(f1747,plain,
    ( ~ spl0_119
    | spl0_117
    | ~ spl0_39
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1387,f772,f398,f767,f776]) ).

fof(f1748,plain,
    ( ~ spl0_163
    | spl0_99
    | ~ spl0_39
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1404,f692,f398,f683,f987]) ).

fof(f1749,plain,
    ( spl0_169
    | ~ spl0_104
    | ~ spl0_49
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1158,f702,f440,f706,f1102]) ).

fof(f1761,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_21
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1280,f571,f325,f580,f576]) ).

fof(f1765,plain,
    ( spl0_115
    | ~ spl0_116
    | ~ spl0_28
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1225,f753,f353,f762,f758]) ).

fof(f1767,plain,
    ( spl0_88
    | ~ spl0_89
    | ~ spl0_30
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1024,f627,f361,f636,f632]) ).

fof(f1786,plain,
    ( spl0_134
    | ~ spl0_177
    | ~ spl0_62
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1622,f842,f507,f1239,f846]) ).

fof(f1793,plain,
    ( ~ spl0_101
    | ~ spl0_163
    | ~ spl0_22
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1399,f688,f329,f987,f692]) ).

fof(f1806,plain,
    ( ~ spl0_104
    | ~ spl0_169
    | ~ spl0_41
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1086,f702,f405,f1102,f706]) ).

fof(f1809,plain,
    ( spl0_181
    | spl0_144
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1679,f898,f476,f893,f1576]) ).

fof(f1816,plain,
    ( ~ c0_1(a1593)
    | ~ c1_1(a1593)
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(resolution,[],[f330,f647]) ).

fof(f1818,plain,
    ( ~ c0_1(a1542)
    | ~ c1_1(a1542)
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(resolution,[],[f330,f572]) ).

fof(f1819,plain,
    ( ~ spl0_77
    | ~ spl0_166
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1818,f571,f329,f1042,f580]) ).

fof(f1820,plain,
    ( ~ spl0_167
    | ~ spl0_92
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1816,f646,f329,f650,f1048]) ).

fof(f1824,plain,
    ( ~ c2_1(a1547)
    | ~ c0_1(a1547)
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(resolution,[],[f334,f857]) ).

fof(f1834,plain,
    ( ~ spl0_137
    | ~ spl0_180
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1824,f856,f333,f1341,f860]) ).

fof(f1839,plain,
    ( ~ c1_1(a1547)
    | ~ c0_1(a1547)
    | ~ spl0_25
    | spl0_135 ),
    inference(resolution,[],[f341,f852]) ).

fof(f1842,plain,
    ( ~ c1_1(a1565)
    | ~ c0_1(a1565)
    | ~ spl0_25
    | spl0_114 ),
    inference(resolution,[],[f341,f754]) ).

fof(f1844,plain,
    ( ~ c1_1(a1600)
    | ~ c0_1(a1600)
    | ~ spl0_25
    | spl0_87 ),
    inference(resolution,[],[f341,f628]) ).

fof(f1848,plain,
    ( ~ spl0_89
    | ~ spl0_174
    | ~ spl0_25
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1844,f627,f340,f1200,f636]) ).

fof(f1849,plain,
    ( ~ spl0_178
    | ~ spl0_116
    | ~ spl0_25
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1842,f753,f340,f762,f1260]) ).

fof(f1851,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_25
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1839,f851,f340,f856,f860]) ).

fof(f1873,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_62
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1626,f669,f507,f678,f674]) ).

fof(f1874,plain,
    ( spl0_168
    | ~ spl0_95
    | ~ spl0_62
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1627,f660,f507,f664,f1096]) ).

fof(f1878,plain,
    ( ~ c1_1(a1539)
    | ~ c2_1(a1539)
    | ~ spl0_21
    | ~ spl0_145 ),
    inference(resolution,[],[f326,f899]) ).

fof(f1883,plain,
    ( ~ spl0_181
    | ~ spl0_146
    | ~ spl0_21
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1878,f898,f325,f902,f1576]) ).

fof(f1893,plain,
    ( c1_1(a1593)
    | ~ c0_1(a1593)
    | ~ spl0_37
    | ~ spl0_91 ),
    inference(resolution,[],[f390,f647]) ).

fof(f1895,plain,
    ( ~ spl0_92
    | spl0_167
    | ~ spl0_37
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1893,f646,f389,f1048,f650]) ).

fof(f1916,plain,
    ( ~ c2_1(a1573)
    | c1_1(a1573)
    | ~ spl0_43
    | spl0_102 ),
    inference(resolution,[],[f419,f698]) ).

fof(f1922,plain,
    ( spl0_103
    | ~ spl0_169
    | ~ spl0_43
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1916,f697,f418,f1102,f702]) ).

fof(f1938,plain,
    ( ~ c0_1(a1573)
    | c1_1(a1573)
    | ~ spl0_45
    | spl0_102 ),
    inference(resolution,[],[f426,f698]) ).

fof(f1939,plain,
    ( ~ c0_1(a1600)
    | c1_1(a1600)
    | ~ spl0_45
    | spl0_87 ),
    inference(resolution,[],[f426,f628]) ).

fof(f1944,plain,
    ( spl0_174
    | ~ spl0_89
    | ~ spl0_45
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1939,f627,f425,f636,f1200]) ).

fof(f1945,plain,
    ( spl0_103
    | ~ spl0_104
    | ~ spl0_45
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1938,f697,f425,f706,f702]) ).

fof(f1958,plain,
    ( ~ c0_1(a1543)
    | c2_1(a1543)
    | ~ spl0_49
    | spl0_142 ),
    inference(resolution,[],[f441,f885]) ).

fof(f1968,plain,
    ( spl0_141
    | ~ spl0_143
    | ~ spl0_49
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1958,f884,f440,f888,f879]) ).

fof(f1971,plain,
    ( c0_1(a1539)
    | ~ c2_1(a1539)
    | ~ spl0_52
    | ~ spl0_145 ),
    inference(resolution,[],[f453,f899]) ).

fof(f1978,plain,
    ( ~ spl0_181
    | spl0_144
    | ~ spl0_52
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1971,f898,f452,f893,f1576]) ).

fof(f1983,plain,
    ( ~ c2_1(a1539)
    | c0_1(a1539)
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(resolution,[],[f462,f903]) ).

fof(f1985,plain,
    ( ~ c2_1(a1554)
    | c0_1(a1554)
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f462,f805]) ).

fof(f1986,plain,
    ( ~ c2_1(a1556)
    | c0_1(a1556)
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(resolution,[],[f462,f791]) ).

fof(f1992,plain,
    ( ~ c2_1(a1542)
    | c0_1(a1542)
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(resolution,[],[f462,f581]) ).

fof(f1995,plain,
    ( spl0_166
    | ~ spl0_76
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1992,f580,f461,f576,f1042]) ).

fof(f1996,plain,
    ( spl0_170
    | ~ spl0_121
    | ~ spl0_54
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1986,f790,f461,f786,f1113]) ).

fof(f1997,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1985,f804,f461,f800,f795]) ).

fof(f1998,plain,
    ( spl0_144
    | ~ spl0_181
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1983,f902,f461,f1576,f893]) ).

fof(f2006,plain,
    ( c0_1(a1538)
    | c2_1(a1538)
    | ~ spl0_59
    | spl0_147 ),
    inference(resolution,[],[f490,f908]) ).

fof(f2009,plain,
    ( c0_1(a1548)
    | c2_1(a1548)
    | ~ spl0_59
    | spl0_132 ),
    inference(resolution,[],[f490,f838]) ).

fof(f2011,plain,
    ( c0_1(a1565)
    | c2_1(a1565)
    | ~ spl0_59
    | spl0_114 ),
    inference(resolution,[],[f490,f754]) ).

fof(f2014,plain,
    ( c0_1(a1624)
    | c2_1(a1624)
    | ~ spl0_59
    | spl0_81 ),
    inference(resolution,[],[f490,f600]) ).

fof(f2017,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_59
    | spl0_81 ),
    inference(avatar_split_clause,[],[f2014,f599,f489,f608,f604]) ).

fof(f2018,plain,
    ( spl0_115
    | spl0_178
    | ~ spl0_59
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2011,f753,f489,f1260,f758]) ).

fof(f2019,plain,
    ( spl0_177
    | spl0_134
    | ~ spl0_59
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2009,f837,f489,f846,f1239]) ).

fof(f2021,plain,
    ( spl0_148
    | spl0_165
    | ~ spl0_59
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2006,f907,f489,f1032,f912]) ).

fof(f2022,plain,
    ( ~ spl0_101
    | spl0_163
    | ~ spl0_53
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1438,f688,f456,f987,f692]) ).

fof(f2037,plain,
    ( c0_1(a1566)
    | ~ c2_1(a1566)
    | ~ spl0_52
    | ~ spl0_112 ),
    inference(resolution,[],[f745,f453]) ).

fof(f2042,plain,
    ( ~ spl0_113
    | spl0_173
    | ~ spl0_52
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2037,f744,f452,f1173,f748]) ).

fof(f2044,plain,
    ( ~ c2_1(a1549)
    | ~ c0_1(a1549)
    | ~ spl0_41
    | spl0_129 ),
    inference(resolution,[],[f824,f406]) ).

fof(f2045,plain,
    ( ~ spl0_131
    | ~ spl0_175
    | ~ spl0_41
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2044,f823,f405,f1209,f832]) ).

fof(f2046,plain,
    ( ~ c0_1(a1549)
    | ~ c2_1(a1549)
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(resolution,[],[f829,f431]) ).

fof(f2047,plain,
    ( c1_1(a1549)
    | ~ c0_1(a1549)
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(resolution,[],[f829,f390]) ).

fof(f2049,plain,
    ( ~ spl0_131
    | spl0_129
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2047,f828,f389,f823,f832]) ).

fof(f2050,plain,
    ( ~ spl0_175
    | ~ spl0_131
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2046,f828,f430,f832,f1209]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s6,plain,
    ( spl0_9
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s9,plain,
    ( spl0_14
    | spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s10,plain,
    ( spl0_8
    | ~ spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s12,plain,
    ( spl0_13
    | ~ spl0_20
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s13,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_21
    | spl0_25 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s14,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_22
    | spl0_26 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s15,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_23
    | spl0_26 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s16,plain,
    ( spl0_17
    | ~ spl0_20
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s17,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_22
    | spl0_28 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s18,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s19,plain,
    ( spl0_17
    | ~ spl0_20
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s20,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_30
    | spl0_32 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s21,plain,
    ( spl0_5
    | spl0_17
    | ~ spl0_20
    | spl0_33 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s22,plain,
    ( spl0_5
    | spl0_12
    | ~ spl0_20
    | spl0_33 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s23,plain,
    ( spl0_17
    | ~ spl0_20
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s24,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s27,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_26
    | spl0_37 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s28,plain,
    ( spl0_19
    | ~ spl0_20
    | spl0_37
    | spl0_39 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s32,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_34
    | spl0_41 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s33,plain,
    ( ~ spl0_20
    | spl0_24
    | spl0_39
    | spl0_41 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s34,plain,
    ( spl0_13
    | ~ spl0_20
    | spl0_28
    | spl0_41 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s35,plain,
    ( spl0_17
    | ~ spl0_20
    | spl0_30
    | spl0_41 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s38,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_41
    | spl0_45 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s40,plain,
    ( spl0_10
    | ~ spl0_20
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s41,plain,
    ( ~ spl0_20
    | spl0_28
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s43,plain,
    ( ~ spl0_20
    | spl0_35
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s45,plain,
    ( spl0_12
    | ~ spl0_20
    | spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_20
    | spl0_54 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s47,plain,
    ( spl0_8
    | ~ spl0_20
    | spl0_39
    | spl0_54 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s48,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_28
    | spl0_54 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s50,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_52
    | spl0_54 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s52,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_20
    | spl0_57 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s53,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_48
    | spl0_57 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s54,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_46
    | spl0_57 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s55,plain,
    ( spl0_5
    | ~ spl0_20
    | spl0_49
    | spl0_57 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s56,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_20
    | spl0_58 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s57,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_43
    | spl0_58 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s58,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s61,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s62,plain,
    ( spl0_18
    | ~ spl0_20
    | spl0_53
    | spl0_59 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s64,plain,
    ( ~ spl0_20
    | spl0_40
    | spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s68,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_29
    | spl0_62 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s70,plain,
    ( spl0_5
    | ~ spl0_20
    | spl0_22
    | spl0_63 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s71,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_25
    | spl0_63 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s77,plain,
    ( ~ spl0_12
    | spl0_66 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s78,plain,
    ( ~ spl0_12
    | spl0_67 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s79,plain,
    ( ~ spl0_12
    | spl0_68 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s85,plain,
    ( ~ spl0_18
    | spl0_72 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s86,plain,
    ( ~ spl0_18
    | spl0_73 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s87,plain,
    ( ~ spl0_18
    | spl0_74 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | spl0_75 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | spl0_76 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | spl0_77 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s96,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s97,plain,
    ( ~ spl0_4
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s98,plain,
    ( ~ spl0_4
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s99,plain,
    ( ~ spl0_4
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s105,plain,
    ( ~ spl0_27
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s106,plain,
    ( ~ spl0_27
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s107,plain,
    ( ~ spl0_27
    | spl0_89 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s109,plain,
    ( ~ spl0_6
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s110,plain,
    ( ~ spl0_6
    | spl0_91 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s111,plain,
    ( ~ spl0_6
    | spl0_92 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s113,plain,
    ( ~ spl0_19
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s114,plain,
    ( ~ spl0_19
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s115,plain,
    ( ~ spl0_19
    | spl0_95 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s117,plain,
    ( ~ spl0_24
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s118,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s119,plain,
    ( ~ spl0_24
    | spl0_98 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s121,plain,
    ( ~ spl0_13
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s122,plain,
    ( ~ spl0_13
    | spl0_100 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s123,plain,
    ( ~ spl0_13
    | spl0_101 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s125,plain,
    ( ~ spl0_17
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s126,plain,
    ( ~ spl0_17
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s127,plain,
    ( ~ spl0_17
    | spl0_104 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s137,plain,
    ( ~ spl0_50
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s138,plain,
    ( ~ spl0_50
    | spl0_112 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s139,plain,
    ( ~ spl0_50
    | spl0_113 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s141,plain,
    ( ~ spl0_9
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s142,plain,
    ( ~ spl0_9
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s143,plain,
    ( ~ spl0_9
    | spl0_116 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s145,plain,
    ( ~ spl0_14
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s146,plain,
    ( ~ spl0_14
    | spl0_118 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s147,plain,
    ( ~ spl0_14
    | spl0_119 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s150,plain,
    ( ~ spl0_31
    | spl0_121 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s151,plain,
    ( ~ spl0_31
    | spl0_122 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s153,plain,
    ( ~ spl0_7
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s154,plain,
    ( ~ spl0_7
    | spl0_124 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s155,plain,
    ( ~ spl0_7
    | spl0_125 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s157,plain,
    ( ~ spl0_48
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s158,plain,
    ( ~ spl0_48
    | spl0_127 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s159,plain,
    ( ~ spl0_48
    | spl0_128 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s161,plain,
    ( ~ spl0_8
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s162,plain,
    ( ~ spl0_8
    | spl0_130 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s163,plain,
    ( ~ spl0_8
    | spl0_131 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s165,plain,
    ( ~ spl0_1
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s166,plain,
    ( ~ spl0_1
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s167,plain,
    ( ~ spl0_1
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s168,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s169,plain,
    ( ~ spl0_32
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s170,plain,
    ( ~ spl0_32
    | spl0_136 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s171,plain,
    ( ~ spl0_32
    | spl0_137 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s177,plain,
    ( ~ spl0_40
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s178,plain,
    ( ~ spl0_40
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s179,plain,
    ( ~ spl0_40
    | spl0_143 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s181,plain,
    ( ~ spl0_3
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s182,plain,
    ( ~ spl0_3
    | spl0_145 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s183,plain,
    ( ~ spl0_3
    | spl0_146 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s184,plain,
    ( ~ spl0_3
    | spl0_20 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s185,plain,
    ( ~ spl0_15
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s186,plain,
    ( ~ spl0_15
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s187,plain,
    ( ~ spl0_15
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s189,plain,
    ( ~ spl0_5
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s190,plain,
    ( ~ spl0_5
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s191,plain,
    ( ~ spl0_5
    | spl0_152 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s197,plain,
    ( ~ spl0_10
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s198,plain,
    ( ~ spl0_10
    | spl0_157 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s199,plain,
    ( ~ spl0_10
    | spl0_158 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s205,plain,
    ( ~ spl0_21
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s207,plain,
    ( ~ spl0_22
    | ~ spl0_66
    | ~ spl0_68
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s208,plain,
    ( ~ spl0_23
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s209,plain,
    ( ~ spl0_21
    | spl0_23
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s211,plain,
    ( ~ spl0_22
    | ~ spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s214,plain,
    ( ~ spl0_30
    | spl0_147
    | spl0_148
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s215,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | spl0_39 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s222,plain,
    ( ~ spl0_37
    | ~ spl0_66
    | ~ spl0_68
    | spl0_162 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s227,plain,
    ( ~ spl0_26
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s228,plain,
    ( ~ spl0_41
    | ~ spl0_67
    | ~ spl0_68
    | spl0_162 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s232,plain,
    ( ~ spl0_23
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s240,plain,
    ( ~ spl0_49
    | spl0_90
    | ~ spl0_92
    | spl0_167 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s243,plain,
    ( ~ spl0_41
    | spl0_111
    | ~ spl0_113
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s245,plain,
    ( ~ spl0_41
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s264,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | spl0_39 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s268,plain,
    ( ~ spl0_30
    | spl0_102
    | ~ spl0_104
    | spl0_169 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s270,plain,
    ( ~ spl0_26
    | ~ spl0_30
    | spl0_39 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s271,plain,
    ( ~ spl0_34
    | spl0_102
    | ~ spl0_104
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s273,plain,
    ( ~ spl0_34
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s274,plain,
    ( ~ spl0_21
    | spl0_23
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s278,plain,
    ( ~ spl0_33
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1332]) ).

cnf(s279,plain,
    ( ~ spl0_33
    | spl0_129
    | ~ spl0_130
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1334]) ).

cnf(s281,plain,
    ( ~ spl0_43
    | spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s285,plain,
    ( ~ spl0_35
    | ~ spl0_130
    | ~ spl0_131
    | spl0_175 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s287,plain,
    ( ~ spl0_28
    | ~ spl0_35
    | spl0_39 ),
    inference(sat_conversion,[],[f1361]) ).

cnf(s290,plain,
    ( ~ spl0_49
    | spl0_148
    | spl0_149
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1362]) ).

cnf(s295,plain,
    ( ~ spl0_30
    | ~ spl0_37
    | spl0_49 ),
    inference(sat_conversion,[],[f1381]) ).

cnf(s302,plain,
    ( ~ spl0_49
    | spl0_129
    | ~ spl0_131
    | spl0_175 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s318,plain,
    ( ~ spl0_57
    | spl0_99
    | ~ spl0_100
    | spl0_163 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s322,plain,
    ( ~ spl0_28
    | ~ spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s335,plain,
    ( ~ spl0_41
    | spl0_94
    | ~ spl0_95
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s358,plain,
    ( ~ spl0_52
    | ~ spl0_75
    | ~ spl0_76
    | spl0_166 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s363,plain,
    ( ~ spl0_26
    | ~ spl0_145
    | ~ spl0_146
    | spl0_181 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s364,plain,
    ( ~ spl0_26
    | spl0_58
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s373,plain,
    ( ~ spl0_58
    | spl0_99
    | ~ spl0_101
    | spl0_163 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s374,plain,
    ( ~ spl0_58
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s377,plain,
    ( ~ spl0_63
    | spl0_132
    | spl0_133
    | spl0_134 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s381,plain,
    ( ~ spl0_33
    | spl0_62
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s386,plain,
    ( ~ spl0_47
    | spl0_90
    | ~ spl0_91
    | spl0_167 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s389,plain,
    ( ~ spl0_26
    | spl0_90
    | ~ spl0_91
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1734]) ).

cnf(s402,plain,
    ( ~ spl0_39
    | ~ spl0_136
    | ~ spl0_137
    | spl0_180 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s403,plain,
    ( ~ spl0_39
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s404,plain,
    ( ~ spl0_39
    | spl0_99
    | ~ spl0_101
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s405,plain,
    ( ~ spl0_49
    | spl0_103
    | ~ spl0_104
    | spl0_169 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s417,plain,
    ( ~ spl0_21
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s423,plain,
    ( ~ spl0_28
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s427,plain,
    ( ~ spl0_30
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s449,plain,
    ( ~ spl0_62
    | spl0_133
    | spl0_134
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s456,plain,
    ( ~ spl0_22
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s470,plain,
    ( ~ spl0_41
    | spl0_103
    | ~ spl0_104
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s473,plain,
    ( ~ spl0_57
    | spl0_144
    | ~ spl0_145
    | spl0_181 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s478,plain,
    ( ~ spl0_22
    | ~ spl0_75
    | ~ spl0_77
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1819]) ).

cnf(s479,plain,
    ( ~ spl0_22
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s483,plain,
    ( ~ spl0_23
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s484,plain,
    ( ~ spl0_25
    | spl0_87
    | ~ spl0_89
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s485,plain,
    ( ~ spl0_25
    | spl0_114
    | ~ spl0_116
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s487,plain,
    ( ~ spl0_25
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s512,plain,
    ( ~ spl0_62
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s513,plain,
    ( ~ spl0_62
    | spl0_94
    | ~ spl0_95
    | spl0_168 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s515,plain,
    ( ~ spl0_21
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s517,plain,
    ( ~ spl0_37
    | ~ spl0_91
    | ~ spl0_92
    | spl0_167 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s518,plain,
    ( ~ spl0_43
    | spl0_102
    | spl0_103
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s522,plain,
    ( ~ spl0_45
    | spl0_87
    | ~ spl0_89
    | spl0_174 ),
    inference(sat_conversion,[],[f1944]) ).

cnf(s523,plain,
    ( ~ spl0_45
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1945]) ).

cnf(s526,plain,
    ( ~ spl0_49
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s528,plain,
    ( ~ spl0_52
    | spl0_144
    | ~ spl0_145
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s530,plain,
    ( ~ spl0_54
    | ~ spl0_76
    | ~ spl0_77
    | spl0_166 ),
    inference(sat_conversion,[],[f1995]) ).

cnf(s531,plain,
    ( ~ spl0_54
    | ~ spl0_121
    | ~ spl0_122
    | spl0_170 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s532,plain,
    ( ~ spl0_54
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s533,plain,
    ( ~ spl0_54
    | spl0_144
    | ~ spl0_146
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s534,plain,
    ( ~ spl0_59
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f2017]) ).

cnf(s535,plain,
    ( ~ spl0_59
    | spl0_114
    | spl0_115
    | spl0_178 ),
    inference(sat_conversion,[],[f2018]) ).

cnf(s536,plain,
    ( ~ spl0_59
    | spl0_132
    | spl0_134
    | spl0_177 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s537,plain,
    ( ~ spl0_59
    | spl0_147
    | spl0_148
    | spl0_165 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s538,plain,
    ( ~ spl0_53
    | ~ spl0_100
    | ~ spl0_101
    | spl0_163 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s551,plain,
    ( ~ spl0_52
    | ~ spl0_112
    | ~ spl0_113
    | spl0_173 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s553,plain,
    ( ~ spl0_41
    | spl0_129
    | ~ spl0_131
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s554,plain,
    ( ~ spl0_37
    | spl0_129
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s555,plain,
    ( ~ spl0_46
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s556,plain,
    ( spl0_7
    | spl0_5
    | ~ spl0_3 ),
    inference(rat,[],[s50,s554,s528,s533,s161,s162,s163,s473,s3,s52,s184,s183,s182,s181]) ).

cnf(s557,plain,
    ( ~ spl0_8
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92
    | spl0_5
    | ~ spl0_3 ),
    inference(rat,[],[s523,s125,s126,s127,s38,s21,s479,s279,s553,s240,s302,s55,s473,s528,s50,s554,s161,s162,s163,s184,s182,s181,s532,s153,s154,s155,s556]) ).

cnf(s558,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s473,s528,s55,s50,s240,s517,s479,s10,s557,s532,s153,s154,s155,s556,s109,s110,s111,s2,s184,s182,s181]) ).

cnf(s559,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(rat,[],[s281,s113,s114,s115]) ).

cnf(s560,plain,
    ( ~ spl0_14
    | ~ spl0_39 ),
    inference(rat,[],[s403,s145,s146,s147]) ).

cnf(s561,plain,
    ( spl0_37
    | spl0_19
    | ~ spl0_3 ),
    inference(rat,[],[s515,s363,s9,s27,s560,s28,s184,s183,s182]) ).

cnf(s562,plain,
    ( ~ spl0_6
    | ~ spl0_22
    | ~ spl0_37 ),
    inference(rat,[],[s479,s517,s110,s111]) ).

cnf(s564,plain,
    ( ~ spl0_32
    | ~ spl0_39
    | ~ spl0_23 ),
    inference(rat,[],[s402,s483,s170,s171]) ).

cnf(s565,plain,
    ( ~ spl0_30
    | spl0_57
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(rat,[],[s526,s177,s178,s179,s64,s537,s214,s295,s186,s185]) ).

cnf(s566,plain,
    ( ~ spl0_7
    | ~ spl0_54 ),
    inference(rat,[],[s532,s153,s154,s155]) ).

cnf(s567,plain,
    ( ~ spl0_18
    | ~ spl0_23 ),
    inference(rat,[],[s208,s85,s86,s87]) ).

cnf(s569,plain,
    ( ~ spl0_12
    | ~ spl0_41
    | ~ spl0_21 ),
    inference(rat,[],[s205,s228,s77,s78,s79]) ).

cnf(s572,plain,
    ( ~ spl0_17
    | ~ spl0_45 ),
    inference(rat,[],[s523,s125,s126,s127]) ).

cnf(s573,plain,
    ( ~ spl0_31
    | ~ spl0_54
    | ~ spl0_23 ),
    inference(rat,[],[s232,s531,s150,s151]) ).

cnf(s574,plain,
    ( ~ spl0_48
    | ~ spl0_41 ),
    inference(rat,[],[s245,s157,s158,s159]) ).

cnf(s577,plain,
    ( ~ spl0_12
    | ~ spl0_22
    | ~ spl0_37 ),
    inference(rat,[],[s207,s222,s77,s79]) ).

cnf(s579,plain,
    ( ~ spl0_29
    | ~ spl0_21 ),
    inference(rat,[],[s417,s89,s90,s91]) ).

cnf(s581,plain,
    ( ~ spl0_24
    | ~ spl0_62 ),
    inference(rat,[],[s512,s117,s118,s119]) ).

cnf(s582,plain,
    ( spl0_39
    | ~ spl0_23
    | spl0_12
    | spl0_6
    | spl0_8
    | spl0_58
    | ~ spl0_3 ),
    inference(rat,[],[s456,s538,s122,s123,s12,s581,s68,s579,s45,s487,s572,s58,s169,s170,s171,s19,s473,s363,s20,s573,s533,s215,s47,s183,s182,s181,s10,s184]) ).

cnf(s583,plain,
    ( ~ spl0_23
    | spl0_8
    | spl0_19
    | spl0_58
    | ~ spl0_3 ),
    inference(rat,[],[s473,s565,s515,s20,s9,s564,s560,s582,s183,s182,s181,s56,s562,s577,s10,s184,s561]) ).

cnf(s584,plain,
    ( ~ spl0_50
    | ~ spl0_33 ),
    inference(rat,[],[s278,s137,s138,s139]) ).

cnf(s585,plain,
    ( spl0_181
    | spl0_23
    | ~ spl0_15
    | ~ spl0_22
    | ~ spl0_37
    | ~ spl0_3 ),
    inference(rat,[],[s526,s177,s178,s179,s64,s537,s290,s41,s584,s23,s572,s45,s538,s456,s122,s123,s423,s12,s141,s142,s143,s581,s18,s68,s209,s274,s579,s565,s15,s473,s363,s184,s183,s182,s181,s187,s186,s185,s577]) ).

cnf(s586,plain,
    ( spl0_8
    | spl0_19
    | spl0_58
    | ~ spl0_3 ),
    inference(rat,[],[s560,s47,s9,s533,s515,s585,s583,s56,s10,s184,s183,s182,s181,s561]) ).

cnf(s587,plain,
    ( spl0_58
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s554,s161,s162,s163,s586,s561,s559,s57,s184]) ).

cnf(s588,plain,
    ( ~ spl0_5
    | ~ spl0_58 ),
    inference(rat,[],[s374,s189,s190,s191]) ).

cnf(s589,plain,
    ( spl0_57
    | spl0_59
    | spl0_5
    | ~ spl0_20 ),
    inference(rat,[],[s526,s177,s178,s179,s64,s55]) ).

cnf(s590,plain,
    ( ~ spl0_17
    | ~ spl0_49
    | spl0_21
    | ~ spl0_20 ),
    inference(rat,[],[s32,s271,s470,s405,s125,s126,s127]) ).

cnf(s591,plain,
    ( ~ spl0_104
    | spl0_103
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(rat,[],[s470,s405]) ).

cnf(s592,plain,
    ( ~ spl0_9
    | ~ spl0_28 ),
    inference(rat,[],[s423,s141,s142,s143]) ).

cnf(s593,plain,
    ( spl0_8
    | spl0_54
    | ~ spl0_58
    | ~ spl0_20 ),
    inference(rat,[],[s373,s456,s121,s122,s123,s6,s592,s48,s560,s47,s10]) ).

cnf(s594,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s554,s161,s162,s163,s50,s593,s528,s473,s589,s534,s97,s98,s99,s566,s558,s556,s588,s587,s181,s182,s184]) ).

cnf(s596,plain,
    ( ~ spl0_49
    | spl0_57
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(rat,[],[s526,s177,s178,s179,s64,s537,s290,s187,s186,s185]) ).

cnf(s599,plain,
    ( spl0_45
    | spl0_25
    | spl0_29
    | spl0_30
    | spl0_12
    | ~ spl0_22
    | spl0_58
    | ~ spl0_20 ),
    inference(rat,[],[s538,s456,s122,s123,s12,s581,s68,s364,s45,s61]) ).

cnf(s600,plain,
    ( spl0_57
    | spl0_8
    | ~ spl0_37
    | spl0_58
    | ~ spl0_20 ),
    inference(rat,[],[s47,s564,s573,s274,s19,s23,s572,s599,s584,s41,s487,s592,s169,s170,s171,s18,s20,s579,s596,s565,s58,s56,s562,s577,s10]) ).

cnf(s601,plain,
    ( ~ spl0_13
    | ~ spl0_57
    | ~ spl0_22 ),
    inference(rat,[],[s318,s456,s121,s122,s123]) ).

cnf(s602,plain,
    ( spl0_39
    | ~ spl0_21
    | spl0_13
    | spl0_12
    | spl0_6
    | spl0_8
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s274,s23,s573,s381,s19,s581,s572,s12,s599,s71,s487,s169,s170,s171,s20,s215,s47,s10,s96,s1,s594,s579]) ).

cnf(s603,plain,
    ( spl0_30
    | ~ spl0_39
    | ~ spl0_21
    | spl0_13
    | spl0_12
    | spl0_6
    | ~ spl0_22
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s381,s23,s581,s572,s12,s599,s71,s274,s487,s564,s169,s170,s171,s20,s96,s1,s594,s579]) ).

cnf(s604,plain,
    ( ~ spl0_17
    | ~ spl0_49
    | ~ spl0_41 ),
    inference(rat,[],[s591,s126,s127]) ).

cnf(s605,plain,
    ( ~ spl0_30
    | ~ spl0_41
    | spl0_28
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(rat,[],[s427,s105,s106,s107,s16,s604,s295]) ).

cnf(s606,plain,
    ( spl0_8
    | ~ spl0_37
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s603,s602,s13,s487,s169,s170,s171,s20,s605,s34,s601,s322,s600,s577,s562,s10,s96,s1,s594]) ).

cnf(s607,plain,
    ( ~ spl0_37
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s554,s161,s162,s163,s606]) ).

cnf(s608,plain,
    ( spl0_30
    | spl0_49
    | spl0_59
    | ~ spl0_21
    | ~ spl0_54
    | ~ spl0_20 ),
    inference(rat,[],[s274,s23,s573,s584,s19,s41,s572,s592,s61,s18,s579]) ).

cnf(s609,plain,
    ( ~ spl0_17
    | ~ spl0_30
    | ~ spl0_43 ),
    inference(rat,[],[s268,s518,s125,s126,s127]) ).

cnf(s610,plain,
    ( ~ spl0_27
    | ~ spl0_30 ),
    inference(rat,[],[s427,s105,s106,s107]) ).

cnf(s611,plain,
    ( ~ spl0_13
    | ~ spl0_26 ),
    inference(rat,[],[s227,s121,s122,s123]) ).

cnf(s612,plain,
    ( ~ spl0_30
    | spl0_28
    | ~ spl0_43
    | ~ spl0_20 ),
    inference(rat,[],[s16,s610,s609]) ).

cnf(s613,plain,
    ( ~ spl0_22
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s240,s479,s109,s110,s111,s603,s569,s34,s608,s612,s592,s6,s611,s364,s27,s9,s46,s560,s28,s607,s559,s57,s96,s1,s594]) ).

cnf(s614,plain,
    ( spl0_58
    | spl0_1 ),
    inference(rat,[],[s553,s302,s161,s163,s10,s613,s608,s612,s34,s592,s6,s611,s364,s27,s9,s46,s560,s28,s607,s559,s57,s96,s1,s594]) ).

cnf(s615,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s566,s3,s593,s96,s1,s594,s588,s614]) ).

cnf(s616,plain,
    ( spl0_57
    | spl0_1 ),
    inference(rat,[],[s54,s555,s596,s302,s55,s96,s1,s594,s588,s614,s163,s162,s161,s615]) ).

cnf(s617,plain,
    ( spl0_33
    | spl0_28
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s601,s38,s34,s572,s569,s21,s22,s96,s1,s594,s588,s614,s616]) ).

cnf(s618,plain,
    ( spl0_28
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s302,s41,s279,s584,s617,s96,s1,s594,s163,s162,s161,s615]) ).

cnf(s619,plain,
    ( spl0_39
    | ~ spl0_30
    | spl0_1 ),
    inference(rat,[],[s14,s270,s215,s96,s1,s594]) ).

cnf(s620,plain,
    ( ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s611,s6,s27,s560,s619,s18,s592,s618,s579,s96,s1,s594,s554,s163,s162,s161,s615]) ).

cnf(s621,plain,
    ( spl0_28
    | spl0_13
    | spl0_49
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s386,s389,s109,s110,s13,s485,s14,s535,s207,s141,s142,s143,s61,s228,s43,s24,s572,s77,s78,s79,s551,s285,s21,s22,s243,s553,s584,s137,s138,s139,s34,s41,s96,s1,s594,s588,s614,s163,s162,s161,s615,s620]) ).

cnf(s622,plain,
    ( spl0_13
    | spl0_49
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s581,s12,s381,s264,s24,s70,s14,s287,s211,s560,s6,s592,s621,s96,s1,s594,s588,s614]) ).

cnf(s623,plain,
    ( ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s14,s611,s601,s96,s1,s594,s616]) ).

cnf(s624,plain,
    ( spl0_30
    | spl0_1 ),
    inference(rat,[],[s553,s35,s302,s590,s622,s96,s1,s594,s163,s161,s615,s620,s623]) ).

cnf(s625,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s268,s470,s125,s126,s127,s16,s34,s592,s6,s560,s619,s610,s624,s623,s96,s1]) ).

cnf(s626,plain,
    spl0_1,
    inference(rat,[],[s625,s594]) ).

cnf(s627,plain,
    spl0_20,
    inference(rat,[],[s168,s626]) ).

cnf(s628,plain,
    ~ spl0_134,
    inference(rat,[],[s167,s626]) ).

cnf(s629,plain,
    ~ spl0_133,
    inference(rat,[],[s166,s626]) ).

cnf(s630,plain,
    ~ spl0_132,
    inference(rat,[],[s165,s626]) ).

cnf(s631,plain,
    ~ spl0_63,
    inference(rat,[],[s377,s628,s629,s630]) ).

cnf(s632,plain,
    ( ~ spl0_21
    | spl0_13
    | ~ spl0_3
    | spl0_30 ),
    inference(rat,[],[s484,s522,s105,s107,s16,s572,s61,s536,s12,s449,s581,s68,s592,s363,s18,s515,s579,s183,s182,s627,s628,s630,s629]) ).

cnf(s633,plain,
    ( spl0_28
    | spl0_49
    | spl0_21
    | spl0_13
    | ~ spl0_3 ),
    inference(rat,[],[s554,s161,s162,s163,s47,s560,s48,s50,s533,s551,s473,s243,s53,s137,s138,s139,s574,s41,s34,s183,s182,s181,s627]) ).

cnf(s634,plain,
    ( ~ spl0_28
    | spl0_21
    | spl0_13 ),
    inference(rat,[],[s322,s58,s588,s70,s211,s560,s6,s592,s627,s631]) ).

cnf(s635,plain,
    ( spl0_13
    | ~ spl0_3
    | spl0_30 ),
    inference(rat,[],[s302,s553,s161,s163,s47,s560,s48,s533,s473,s53,s574,s633,s34,s634,s632,s183,s182,s181,s627]) ).

cnf(s636,plain,
    ( ~ spl0_21
    | ~ spl0_3
    | spl0_30 ),
    inference(rat,[],[s273,s23,s197,s198,s199,s584,s40,s41,s574,s526,s35,s177,s178,s179,s572,s64,s61,s536,s449,s592,s473,s68,s18,s515,s579,s183,s182,s181,s611,s635,s627,s628,s630,s629]) ).

cnf(s638,plain,
    ( ~ spl0_57
    | ~ spl0_13
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(rat,[],[s554,s161,s162,s163,s50,s10,s528,s533,s601,s473,s627]) ).

cnf(s639,plain,
    ( ~ spl0_3
    | spl0_30 ),
    inference(rat,[],[s456,s70,s373,s588,s58,s638,s636,s121,s122,s123,s635,s181,s182,s183,s627,s631]) ).

cnf(s640,plain,
    ( ~ spl0_9
    | spl0_30 ),
    inference(rat,[],[s484,s522,s105,s107,s16,s572,s61,s535,s485,s592,s141,s142,s143,s71,s639,s627,s631]) ).

cnf(s641,plain,
    ( spl0_13
    | spl0_30 ),
    inference(rat,[],[s554,s161,s162,s163,s50,s47,s358,s530,s478,s17,s560,s634,s6,s91,s90,s89,s579,s18,s640,s627]) ).

cnf(s642,plain,
    spl0_30,
    inference(rat,[],[s373,s58,s456,s601,s14,s611,s121,s122,s123,s641,s579,s18,s640,s639,s627]) ).

cnf(s643,plain,
    ~ spl0_27,
    inference(rat,[],[s610,s642]) ).

cnf(s644,plain,
    ( ~ spl0_3
    | ~ spl0_21 ),
    inference(rat,[],[s335,s33,s513,s560,s114,s115,s27,s561,s295,s526,s177,s178,s179,s64,s536,s449,s581,s68,s473,s363,s515,s181,s182,s183,s579,s627,s642,s628,s630,s629]) ).

cnf(s645,plain,
    ( spl0_28
    | spl0_13 ),
    inference(rat,[],[s268,s470,s125,s126,s127,s16,s34,s643,s627,s642]) ).

cnf(s646,plain,
    ( spl0_39
    | spl0_3 ),
    inference(rat,[],[s270,s14,s215,s642,s627]) ).

cnf(s647,plain,
    ( spl0_13
    | spl0_14 ),
    inference(rat,[],[s592,s6,s645]) ).

cnf(s648,plain,
    ~ spl0_21,
    inference(rat,[],[s536,s62,s449,s538,s68,s404,s611,s121,s122,s123,s647,s560,s646,s567,s209,s71,s644,s579,s628,s630,s627,s629,s631]) ).

cnf(s649,plain,
    spl0_13,
    inference(rat,[],[s645,s634,s648]) ).

cnf(s650,plain,
    spl0_101,
    inference(rat,[],[s123,s649]) ).

cnf(s651,plain,
    spl0_100,
    inference(rat,[],[s122,s649]) ).

cnf(s652,plain,
    ~ spl0_99,
    inference(rat,[],[s121,s649]) ).

cnf(s653,plain,
    ~ spl0_26,
    inference(rat,[],[s611,s649]) ).

cnf(s656,plain,
    ~ spl0_58,
    inference(rat,[],[s456,s70,s373,s588,s650,s651,s627,s631,s652]) ).

cnf(s657,plain,
    spl0_57,
    inference(rat,[],[s58,s648,s627,s656]) ).

cnf(s660,plain,
    ~ spl0_22,
    inference(rat,[],[s601,s649,s657]) ).

cnf(s664,plain,
    spl0_3,
    inference(rat,[],[s14,s627,s653,s660]) ).

cnf(s675,plain,
    spl0_146,
    inference(rat,[],[s183,s664]) ).

cnf(s676,plain,
    spl0_145,
    inference(rat,[],[s182,s664]) ).

cnf(s677,plain,
    ~ spl0_144,
    inference(rat,[],[s181,s664]) ).

cnf(s693,plain,
    $false,
    inference(rat,[],[s638,s675,s657,s649,s676,s677]) ).

fof(f2051,plain,
    $false,
    inference(avatar_sat_refutation,[],[s693]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN480+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n026.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.21  % DateTime : Mon Sep 28 16:17:42 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  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
% 2.88/1.13  % (3985924)Detected formulas, will run a generic FOF schedule.
% 2.88/1.13  % (3985933)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2805275955:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.88/1.13  % (3985933)Instruction limit reached! 
% 2.88/1.13  % (3985933)------------------------------
% 2.88/1.13  % (3985933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.13  % (3985933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.13  % (3985933)CaDiCaL version: 2.1.3
% 2.88/1.13  % (3985933)Termination reason: Instruction limit
% 2.88/1.13  % (3985933)Termination phase: Saturation
% 2.88/1.13  % (3985933)Time elapsed: 0.032 s
% 2.88/1.13  % (3985933)Peak memory usage: 88 MB
% 2.88/1.13  % (3985933)Instructions burned: 123 (million)
% 2.88/1.13  % (3985932)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3707430194:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.88/1.13  % (3985934)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=170663228:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.88/1.13  % (3985931)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=528295347:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.88/1.13  % (3985930)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=3209965677:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.88/1.13  % (3985929)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=269688864:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.88/1.13  % (3985935)dis-21_1_sil=8000:lcm=predicate:random_seed=2054179553: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)
% 2.88/1.13  % (3985935)First to succeed.
% 2.88/1.13  % (3985935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3985924"
% 2.88/1.13  % (3985934)Also succeeded, but the first one will report.
% 2.88/1.13  % (3985932)Instruction limit reached! 
% 2.88/1.13  % (3985932)------------------------------
% 2.88/1.13  % (3985932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.13  % (3985932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.13  % (3985932)CaDiCaL version: 2.1.3
% 2.88/1.13  % (3985932)Termination reason: Instruction limit
% 2.88/1.13  % (3985932)Termination phase: Saturation
% 2.88/1.13  % (3985932)Time elapsed: 0.071 s
% 2.88/1.13  % (3985932)Peak memory usage: 90 MB
% 2.88/1.13  % (3985932)Instructions burned: 110 (million)
% 2.88/1.13  % (3985938)lrs+10_1_sil=8000:sp=occurrence:random_seed=730050947:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.88/1.13  % (3985938)Also succeeded, but the first one will report.
% 2.88/1.13  % (3985944)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3902858731:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.88/1.13  % (3985944)Also succeeded, but the first one will report.
% 2.88/1.13  % (3985935)Refutation found. Thanks to Tanya!
% 2.88/1.13  % SZS status Theorem for theBenchmark
% 2.88/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.32  % (3985935)------------------------------
% 3.78/1.32  % (3985935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.32  % (3985935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.32  % (3985935)CaDiCaL version: 2.1.3
% 3.78/1.32  % (3985935)Termination reason: Refutation
% 3.78/1.32  % (3985935)Time elapsed: 0.035 s
% 3.78/1.32  % (3985935)Peak memory usage: 90 MB
% 3.78/1.32  % (3985935)Instructions burned: 59 (million)
% 3.78/1.32  % (3985935)------------------------------
% 3.78/1.32  % (3985935)------------------------------
% 3.78/1.32  % (3985924)Success in time 0.448 s
% 3.78/1.32  % Vampire exiting
%------------------------------------------------------------------------------