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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN486+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:13:35 PM UTC 2026

% Result   : Theorem 0.18s 0.28s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a2174)
          & c2_1(a2174)
          & ~ c0_1(a2174) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a2175)
          & ~ c0_1(a2175)
          & ~ c3_1(a2175) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a2176)
          & ~ c0_1(a2176)
          & ~ c3_1(a2176) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a2177)
          & ~ c1_1(a2177)
          & ~ c3_1(a2177) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a2179)
          & c2_1(a2179)
          & ~ c3_1(a2179) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a2180)
          & c3_1(a2180)
          & ~ c1_1(a2180) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a2181)
          & c2_1(a2181)
          & ~ c3_1(a2181) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2182)
          & c3_1(a2182)
          & ~ c0_1(a2182) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a2184)
          & c1_1(a2184)
          & ~ c3_1(a2184) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2185)
          & ~ c0_1(a2185)
          & ~ c1_1(a2185) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a2186)
          & ~ c0_1(a2186)
          & ~ c1_1(a2186) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a2187)
          & c2_1(a2187)
          & ~ c1_1(a2187) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a2189)
          & ~ c2_1(a2189)
          & ~ c3_1(a2189) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a2191)
          & ~ c1_1(a2191)
          & ~ c3_1(a2191) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a2193)
          & ~ c1_1(a2193)
          & ~ c2_1(a2193) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a2194)
          & c3_1(a2194)
          & ~ c2_1(a2194) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c1_1(a2195)
          & ~ c2_1(a2195)
          & ~ c3_1(a2195) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2197)
          & c3_1(a2197)
          & ~ c1_1(a2197) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a2198)
          & ~ c1_1(a2198)
          & ~ c2_1(a2198) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a2211)
          & ~ c2_1(a2211)
          & ~ c3_1(a2211) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a2213)
          & c1_1(a2213)
          & ~ c2_1(a2213) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2216)
          & ~ c2_1(a2216)
          & ~ c3_1(a2216) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a2219)
          & ~ c1_1(a2219)
          & ~ c3_1(a2219) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a2248)
          & ~ c1_1(a2248)
          & ~ c2_1(a2248) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2262)
          & c3_1(a2262)
          & ~ c0_1(a2262) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a2265)
          & c3_1(a2265)
          & ~ c2_1(a2265) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a2268)
          & ~ c0_1(a2268)
          & ~ c2_1(a2268) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a2178)
          & c2_1(a2178)
          & c3_1(a2178) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2188)
          & c1_1(a2188)
          & c2_1(a2188) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a2196)
          & c2_1(a2196)
          & c3_1(a2196) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2208)
          & c1_1(a2208)
          & c3_1(a2208) ) )
      & ( ! [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)
              | ~ c2_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c3_1(X5)
              | ~ c1_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp0 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c1_1(X10)
              | ~ c3_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c0_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | hskp1 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp2 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | hskp3 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c1_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | ~ c1_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | ~ c1_1(X24)
              | ~ c2_1(X24) ) )
        | hskp27 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c2_1(X26)
              | ~ c3_1(X26) ) )
        | hskp4 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp5
        | hskp6 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c2_1(X32) ) )
        | hskp7 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c1_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp0 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c1_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c0_1(X39)
              | ~ c1_1(X39) ) )
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c1_1(X40)
              | ~ c3_1(X40) ) )
        | hskp9
        | hskp10 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | ~ c0_1(X42)
              | ~ c3_1(X42) ) )
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp28 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp12 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp10 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | hskp13 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | hskp11 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c3_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp14 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c3_1(X61)
              | ~ c1_1(X61) ) )
        | hskp15
        | hskp16 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c3_1(X62)
              | ~ c1_1(X62) ) )
        | hskp29
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c3_1(X63)
              | ~ c2_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c0_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | hskp18 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c1_1(X69) ) )
        | hskp2 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c1_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) )
        | hskp27 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) )
        | hskp15
        | hskp3 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c2_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | hskp29 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( c0_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | hskp16 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp2 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp28 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c2_1(X91) ) )
        | hskp2 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c0_1(X92) ) )
        | hskp30
        | hskp1 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c2_1(X93)
              | ~ c0_1(X93) ) )
        | hskp16 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c3_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp19 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) )
        | hskp28
        | hskp20 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | c3_1(X97)
              | ~ c0_1(X97) ) )
        | hskp15
        | hskp0 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | c3_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c0_1(X101)
              | ~ c2_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp21 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c0_1(X103)
              | ~ c2_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp10 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c1_1(X105)
              | ~ c0_1(X105)
              | ~ c2_1(X105) ) )
        | hskp28
        | hskp22 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | ~ c0_1(X106)
              | ~ c3_1(X106) ) )
        | hskp13
        | hskp16 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) )
        | hskp27 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c1_1(X109) ) )
        | hskp20
        | hskp16 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c1_1(X110) ) )
        | hskp13
        | hskp16 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp18 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | ~ c2_1(X114) ) )
        | hskp12 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c0_1(X115)
              | ~ c1_1(X115) ) )
        | hskp17
        | hskp10 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c0_1(X116)
              | ~ c1_1(X116) ) )
        | hskp29
        | hskp9 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c2_1(X117) ) )
        | hskp11
        | hskp10 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c1_1(X118)
              | ~ c2_1(X118) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | hskp7 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp0
        | hskp22 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c1_1(X121)
              | ~ c3_1(X121) ) )
        | hskp27
        | hskp22 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) )
        | hskp11
        | hskp1 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c1_1(X123)
              | ~ c2_1(X123)
              | ~ c3_1(X123) ) )
        | hskp27
        | hskp16 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp13
        | hskp19 )
      & ( hskp8
        | hskp4
        | hskp23 )
      & ( hskp5
        | hskp2
        | hskp19 )
      & ( hskp5
        | hskp19
        | hskp16 )
      & ( hskp15
        | hskp3
        | hskp16 )
      & ( hskp13
        | hskp0
        | hskp10 )
      & ( hskp13
        | hskp24
        | hskp14 )
      & ( hskp21
        | hskp25
        | hskp22 )
      & ( hskp24
        | hskp26
        | hskp17 )
      & ( hskp24
        | hskp2
        | hskp9 )
      & ( hskp17
        | hskp3
        | hskp16 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a2174)
            & c2_1(a2174)
            & ~ c0_1(a2174) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a2175)
            & ~ c0_1(a2175)
            & ~ c3_1(a2175) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a2176)
            & ~ c0_1(a2176)
            & ~ c3_1(a2176) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a2177)
            & ~ c1_1(a2177)
            & ~ c3_1(a2177) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a2179)
            & c2_1(a2179)
            & ~ c3_1(a2179) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a2180)
            & c3_1(a2180)
            & ~ c1_1(a2180) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a2181)
            & c2_1(a2181)
            & ~ c3_1(a2181) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2182)
            & c3_1(a2182)
            & ~ c0_1(a2182) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a2184)
            & c1_1(a2184)
            & ~ c3_1(a2184) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2185)
            & ~ c0_1(a2185)
            & ~ c1_1(a2185) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a2186)
            & ~ c0_1(a2186)
            & ~ c1_1(a2186) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a2187)
            & c2_1(a2187)
            & ~ c1_1(a2187) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a2189)
            & ~ c2_1(a2189)
            & ~ c3_1(a2189) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a2191)
            & ~ c1_1(a2191)
            & ~ c3_1(a2191) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a2193)
            & ~ c1_1(a2193)
            & ~ c2_1(a2193) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a2194)
            & c3_1(a2194)
            & ~ c2_1(a2194) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c1_1(a2195)
            & ~ c2_1(a2195)
            & ~ c3_1(a2195) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2197)
            & c3_1(a2197)
            & ~ c1_1(a2197) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a2198)
            & ~ c1_1(a2198)
            & ~ c2_1(a2198) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a2211)
            & ~ c2_1(a2211)
            & ~ c3_1(a2211) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a2213)
            & c1_1(a2213)
            & ~ c2_1(a2213) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2216)
            & ~ c2_1(a2216)
            & ~ c3_1(a2216) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a2219)
            & ~ c1_1(a2219)
            & ~ c3_1(a2219) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a2248)
            & ~ c1_1(a2248)
            & ~ c2_1(a2248) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2262)
            & c3_1(a2262)
            & ~ c0_1(a2262) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a2265)
            & c3_1(a2265)
            & ~ c2_1(a2265) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a2268)
            & ~ c0_1(a2268)
            & ~ c2_1(a2268) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a2178)
            & c2_1(a2178)
            & c3_1(a2178) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2188)
            & c1_1(a2188)
            & c2_1(a2188) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a2196)
            & c2_1(a2196)
            & c3_1(a2196) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2208)
            & c1_1(a2208)
            & c3_1(a2208) ) )
        & ( ! [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)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp0 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c0_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp2 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | hskp3 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c1_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c1_1(X24)
                | ~ c2_1(X24) ) )
          | hskp27 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c2_1(X26)
                | ~ c3_1(X26) ) )
          | hskp4 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp5
          | hskp6 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c2_1(X32) ) )
          | hskp7 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c1_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp0 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c1_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) )
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c1_1(X40)
                | ~ c3_1(X40) ) )
          | hskp9
          | hskp10 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp28 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp10 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp11 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp14 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) )
          | hskp15
          | hskp16 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c3_1(X62)
                | ~ c1_1(X62) ) )
          | hskp29
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c0_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | hskp18 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c1_1(X69) ) )
          | hskp2 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | hskp27 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) )
          | hskp15
          | hskp3 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c2_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | hskp29 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | hskp16 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp2 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp28 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c2_1(X91) ) )
          | hskp2 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c0_1(X92) ) )
          | hskp30
          | hskp1 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c0_1(X93) ) )
          | hskp16 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp19 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | hskp28
          | hskp20 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | c3_1(X97)
                | ~ c0_1(X97) ) )
          | hskp15
          | hskp0 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c3_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c0_1(X101)
                | ~ c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp21 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c0_1(X103)
                | ~ c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp10 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | ~ c0_1(X105)
                | ~ c2_1(X105) ) )
          | hskp28
          | hskp22 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) )
          | hskp13
          | hskp16 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) )
          | hskp27 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c1_1(X109) ) )
          | hskp20
          | hskp16 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c1_1(X110) ) )
          | hskp13
          | hskp16 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c2_1(X114) ) )
          | hskp12 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c0_1(X115)
                | ~ c1_1(X115) ) )
          | hskp17
          | hskp10 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c0_1(X116)
                | ~ c1_1(X116) ) )
          | hskp29
          | hskp9 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c2_1(X117) ) )
          | hskp11
          | hskp10 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c1_1(X118)
                | ~ c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp7 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp0
          | hskp22 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c1_1(X121)
                | ~ c3_1(X121) ) )
          | hskp27
          | hskp22 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | hskp11
          | hskp1 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c1_1(X123)
                | ~ c2_1(X123)
                | ~ c3_1(X123) ) )
          | hskp27
          | hskp16 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp13
          | hskp19 )
        & ( hskp8
          | hskp4
          | hskp23 )
        & ( hskp5
          | hskp2
          | hskp19 )
        & ( hskp5
          | hskp19
          | hskp16 )
        & ( hskp15
          | hskp3
          | hskp16 )
        & ( hskp13
          | hskp0
          | hskp10 )
        & ( hskp13
          | hskp24
          | hskp14 )
        & ( hskp21
          | hskp25
          | hskp22 )
        & ( hskp24
          | hskp26
          | hskp17 )
        & ( hskp24
          | hskp2
          | hskp9 )
        & ( hskp17
          | hskp3
          | hskp16 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a2174)
        & c2_1(a2174)
        & ~ c0_1(a2174) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2175)
        & ~ c0_1(a2175)
        & ~ c3_1(a2175) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2176)
        & ~ c0_1(a2176)
        & ~ c3_1(a2176) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2177)
        & ~ c1_1(a2177)
        & ~ c3_1(a2177) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2179)
        & c2_1(a2179)
        & ~ c3_1(a2179) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2180)
        & c3_1(a2180)
        & ~ c1_1(a2180) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a2181)
        & c2_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2182)
        & c3_1(a2182)
        & ~ c0_1(a2182) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2184)
        & c1_1(a2184)
        & ~ c3_1(a2184) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2185)
        & ~ c0_1(a2185)
        & ~ c1_1(a2185) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2187)
        & c2_1(a2187)
        & ~ c1_1(a2187) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2189)
        & ~ c2_1(a2189)
        & ~ c3_1(a2189) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2191)
        & ~ c1_1(a2191)
        & ~ c3_1(a2191) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a2193)
        & ~ c1_1(a2193)
        & ~ c2_1(a2193) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2194)
        & c3_1(a2194)
        & ~ c2_1(a2194) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c1_1(a2195)
        & ~ c2_1(a2195)
        & ~ c3_1(a2195) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2197)
        & c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2198)
        & ~ c1_1(a2198)
        & ~ c2_1(a2198) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2211)
        & ~ c2_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a2213)
        & c1_1(a2213)
        & ~ c2_1(a2213) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2216)
        & ~ c2_1(a2216)
        & ~ c3_1(a2216) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a2248)
        & ~ c1_1(a2248)
        & ~ c2_1(a2248) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2265)
        & c3_1(a2265)
        & ~ c2_1(a2265) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268)
        & ~ c2_1(a2268) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2178)
        & c2_1(a2178)
        & c3_1(a2178) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c1_1(a2188)
        & c2_1(a2188) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2196)
        & c2_1(a2196)
        & c3_1(a2196) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2208)
        & c1_1(a2208)
        & c3_1(a2208) ) )
    & ( ! [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)
            | ~ c2_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | ~ c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp0 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c0_1(X13)
            | ~ c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | ~ c2_1(X15)
            | ~ c3_1(X15) ) )
      | hskp1 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c2_1(X17)
            | ~ c3_1(X17) ) )
      | hskp2 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | hskp3 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | ~ c1_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c1_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | ~ c1_1(X24)
            | ~ c2_1(X24) ) )
      | hskp27 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | ~ c2_1(X26)
            | ~ c3_1(X26) ) )
      | hskp4 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp5
      | hskp6 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c2_1(X32) ) )
      | hskp7 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c1_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c2_1(X37)
            | ~ c1_1(X37)
            | ~ c3_1(X37) ) )
      | hskp0 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c1_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | ~ c0_1(X39)
            | ~ c1_1(X39) ) )
      | hskp8 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c1_1(X40)
            | ~ c3_1(X40) ) )
      | hskp9
      | hskp10 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) )
      | hskp28 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) )
      | hskp12 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | hskp10 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) )
      | hskp13 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c0_1(X52)
            | ~ c1_1(X52) ) )
      | hskp11 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c0_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c3_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | hskp14 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | c3_1(X61)
            | ~ c1_1(X61) ) )
      | hskp15
      | hskp16 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | c3_1(X62)
            | ~ c1_1(X62) ) )
      | hskp29
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c3_1(X63)
            | ~ c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c0_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c1_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) )
      | hskp18 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c1_1(X68)
            | ~ c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c3_1(X69)
            | ~ c1_1(X69) ) )
      | hskp2 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c1_1(X71)
            | ~ c3_1(X71) ) )
      | hskp27 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c1_1(X72)
            | ~ c2_1(X72) ) )
      | hskp15
      | hskp3 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c0_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c2_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) )
      | hskp29 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | hskp16 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | hskp2 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp28 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | c3_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c3_1(X91)
            | ~ c2_1(X91) ) )
      | hskp2 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c2_1(X92)
            | ~ c0_1(X92) ) )
      | hskp30
      | hskp1 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c2_1(X93)
            | ~ c0_1(X93) ) )
      | hskp16 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c3_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp19 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c3_1(X96)
            | ~ c0_1(X96) ) )
      | hskp28
      | hskp20 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | c3_1(X97)
            | ~ c0_1(X97) ) )
      | hskp15
      | hskp0 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c3_1(X98)
            | ~ c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | ~ c1_1(X100)
            | ~ c3_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c0_1(X101)
            | ~ c2_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp21 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c0_1(X103)
            | ~ c2_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp10 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | ~ c0_1(X105)
            | ~ c2_1(X105) ) )
      | hskp28
      | hskp22 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | ~ c0_1(X106)
            | ~ c3_1(X106) ) )
      | hskp13
      | hskp16 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c2_1(X108)
            | ~ c3_1(X108) ) )
      | hskp27 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c1_1(X109) ) )
      | hskp20
      | hskp16 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c3_1(X110)
            | ~ c1_1(X110) ) )
      | hskp13
      | hskp16 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | ~ c0_1(X112)
            | ~ c1_1(X112) ) )
      | hskp18 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c1_1(X114)
            | ~ c2_1(X114) ) )
      | hskp12 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c0_1(X115)
            | ~ c1_1(X115) ) )
      | hskp17
      | hskp10 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c0_1(X116)
            | ~ c1_1(X116) ) )
      | hskp29
      | hskp9 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c2_1(X117) ) )
      | hskp11
      | hskp10 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c1_1(X118)
            | ~ c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c2_1(X119)
            | ~ c3_1(X119) ) )
      | hskp7 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp0
      | hskp22 )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c0_1(X121)
            | ~ c1_1(X121)
            | ~ c3_1(X121) ) )
      | hskp27
      | hskp22 )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c2_1(X122)
            | ~ c3_1(X122) ) )
      | hskp11
      | hskp1 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c1_1(X123)
            | ~ c2_1(X123)
            | ~ c3_1(X123) ) )
      | hskp27
      | hskp16 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | ~ c2_1(X124)
            | ~ c3_1(X124) ) )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a2174)
        & c2_1(a2174)
        & ~ c0_1(a2174) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2175)
        & ~ c0_1(a2175)
        & ~ c3_1(a2175) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2176)
        & ~ c0_1(a2176)
        & ~ c3_1(a2176) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2177)
        & ~ c1_1(a2177)
        & ~ c3_1(a2177) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2179)
        & c2_1(a2179)
        & ~ c3_1(a2179) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2180)
        & c3_1(a2180)
        & ~ c1_1(a2180) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a2181)
        & c2_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2182)
        & c3_1(a2182)
        & ~ c0_1(a2182) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2184)
        & c1_1(a2184)
        & ~ c3_1(a2184) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2185)
        & ~ c0_1(a2185)
        & ~ c1_1(a2185) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2187)
        & c2_1(a2187)
        & ~ c1_1(a2187) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2189)
        & ~ c2_1(a2189)
        & ~ c3_1(a2189) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2191)
        & ~ c1_1(a2191)
        & ~ c3_1(a2191) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a2193)
        & ~ c1_1(a2193)
        & ~ c2_1(a2193) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2194)
        & c3_1(a2194)
        & ~ c2_1(a2194) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c1_1(a2195)
        & ~ c2_1(a2195)
        & ~ c3_1(a2195) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2197)
        & c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2198)
        & ~ c1_1(a2198)
        & ~ c2_1(a2198) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2211)
        & ~ c2_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a2213)
        & c1_1(a2213)
        & ~ c2_1(a2213) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2216)
        & ~ c2_1(a2216)
        & ~ c3_1(a2216) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a2248)
        & ~ c1_1(a2248)
        & ~ c2_1(a2248) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2265)
        & c3_1(a2265)
        & ~ c2_1(a2265) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268)
        & ~ c2_1(a2268) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2178)
        & c2_1(a2178)
        & c3_1(a2178) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c1_1(a2188)
        & c2_1(a2188) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2196)
        & c2_1(a2196)
        & c3_1(a2196) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2208)
        & c1_1(a2208)
        & c3_1(a2208) ) )
    & ( ! [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)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp15
      | hskp3 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp30
      | hskp1 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp28
      | hskp20 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp28
      | hskp22 )
    & ( ! [X106] :
          ( c1_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp16 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp10 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp11
      | hskp10 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp0
      | hskp22 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp27
      | hskp22 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ! [X123] :
          ( ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a2174)
        & c2_1(a2174)
        & ~ c0_1(a2174) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2175)
        & ~ c0_1(a2175)
        & ~ c3_1(a2175) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2176)
        & ~ c0_1(a2176)
        & ~ c3_1(a2176) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2177)
        & ~ c1_1(a2177)
        & ~ c3_1(a2177) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2179)
        & c2_1(a2179)
        & ~ c3_1(a2179) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2180)
        & c3_1(a2180)
        & ~ c1_1(a2180) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a2181)
        & c2_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2182)
        & c3_1(a2182)
        & ~ c0_1(a2182) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2184)
        & c1_1(a2184)
        & ~ c3_1(a2184) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2185)
        & ~ c0_1(a2185)
        & ~ c1_1(a2185) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2187)
        & c2_1(a2187)
        & ~ c1_1(a2187) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2189)
        & ~ c2_1(a2189)
        & ~ c3_1(a2189) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2191)
        & ~ c1_1(a2191)
        & ~ c3_1(a2191) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a2193)
        & ~ c1_1(a2193)
        & ~ c2_1(a2193) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2194)
        & c3_1(a2194)
        & ~ c2_1(a2194) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c1_1(a2195)
        & ~ c2_1(a2195)
        & ~ c3_1(a2195) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2197)
        & c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2198)
        & ~ c1_1(a2198)
        & ~ c2_1(a2198) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2211)
        & ~ c2_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a2213)
        & c1_1(a2213)
        & ~ c2_1(a2213) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2216)
        & ~ c2_1(a2216)
        & ~ c3_1(a2216) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a2248)
        & ~ c1_1(a2248)
        & ~ c2_1(a2248) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2265)
        & c3_1(a2265)
        & ~ c2_1(a2265) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268)
        & ~ c2_1(a2268) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2178)
        & c2_1(a2178)
        & c3_1(a2178) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c1_1(a2188)
        & c2_1(a2188) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2196)
        & c2_1(a2196)
        & c3_1(a2196) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2208)
        & c1_1(a2208)
        & c3_1(a2208) ) )
    & ( ! [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)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp15
      | hskp3 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp30
      | hskp1 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp28
      | hskp20 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp28
      | hskp22 )
    & ( ! [X106] :
          ( c1_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp16 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp10 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp11
      | hskp10 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp0
      | hskp22 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp27
      | hskp22 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ! [X123] :
          ( ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp17
    | hskp3
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp24
    | hskp26
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp21
    | hskp25
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp13
    | hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp13
    | hskp0
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp15
    | hskp3
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X123] :
      ( ~ c1_1(X123)
      | ~ c2_1(X123)
      | ~ c3_1(X123)
      | ~ ndr1_0
      | hskp27
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X122] :
      ( ~ c0_1(X122)
      | ~ c2_1(X122)
      | ~ c3_1(X122)
      | ~ ndr1_0
      | hskp11
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X118,X119] :
      ( c3_1(X118)
      | ~ c1_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | ~ c0_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X117] :
      ( c3_1(X117)
      | ~ c0_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | hskp11
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X115] :
      ( c2_1(X115)
      | ~ c0_1(X115)
      | ~ c1_1(X115)
      | ~ ndr1_0
      | hskp17
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X106] :
      ( c1_1(X106)
      | ~ c0_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | ~ c0_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X98,X99,X100] :
      ( c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ ndr1_0
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X97] :
      ( c1_1(X97)
      | c3_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | c3_1(X94)
      | ~ c0_1(X94)
      | ~ ndr1_0
      | c1_1(X95)
      | ~ c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X93] :
      ( c1_1(X93)
      | c2_1(X93)
      | ~ c0_1(X93)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X92] :
      ( c1_1(X92)
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | hskp30
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | c3_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X88,X89,X87] :
      ( c1_1(X87)
      | c2_1(X87)
      | c3_1(X87)
      | ~ ndr1_0
      | c1_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X83,X84] :
      ( c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X80,X78,X79] :
      ( c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X72] :
      ( c0_1(X72)
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | hskp15
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X70,X71] :
      ( c0_1(X70)
      | ~ c1_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | ~ c1_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X65,X63,X64] :
      ( c0_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X62] :
      ( c0_1(X62)
      | c3_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | hskp29
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X61] :
      ( c0_1(X61)
      | c3_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | ~ c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c1_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | ~ c0_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp30
    | c3_1(a2208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp30
    | c1_1(a2208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp30
    | c0_1(a2208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a2196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c2_1(a2196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c1_1(a2196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c2_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c1_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c0_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c3_1(a2178) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c2_1(a2178) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | c0_1(a2178) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | ~ c2_1(a2268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | ~ c0_1(a2268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | c1_1(a2268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c2_1(a2265) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | c3_1(a2265) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c1_1(a2265) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c0_1(a2262) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | c3_1(a2262) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c1_1(a2262) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c3_1(a2219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | ~ c1_1(a2219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | c2_1(a2219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c3_1(a2216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | ~ c2_1(a2216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c0_1(a2216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c3_1(a2211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | ~ c2_1(a2211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | ~ c0_1(a2211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c2_1(a2198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | ~ c1_1(a2198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c0_1(a2198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c1_1(a2197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | c3_1(a2197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | c2_1(a2197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c3_1(a2195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | ~ c2_1(a2195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | ~ c1_1(a2195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c2_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | c3_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c0_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c2_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | ~ c1_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c3_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c3_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | ~ c1_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c0_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c1_1(a2187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | c2_1(a2187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c0_1(a2187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c1_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | ~ c0_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c3_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c0_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | c3_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c2_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c3_1(a2177) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | ~ c1_1(a2177) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | ~ c0_1(a2177) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c3_1(a2176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | ~ c0_1(a2176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c1_1(a2176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c3_1(a2175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | ~ c0_1(a2175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c2_1(a2175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c0_1(a2174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | c2_1(a2174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c1_1(a2174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c1_1(a2174) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f207,plain,
    ( ~ hskp0
    | c0_1(a2174) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f209,plain,
    ( hskp1
    | c2_1(a2175) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f210,plain,
    ( hskp1
    | c0_1(a2175) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f211,plain,
    ( hskp1
    | ~ c3_1(a2175) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f212,plain,
    ( ~ hskp2
    | ~ c1_1(a2176) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f213,plain,
    ( ~ hskp2
    | c0_1(a2176) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f214,plain,
    ( hskp3
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f215,plain,
    ( hskp3
    | c0_1(a2177) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f216,plain,
    ( hskp3
    | c1_1(a2177) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f217,plain,
    ( hskp3
    | ~ c3_1(a2177) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f225,plain,
    ( ~ hskp7
    | c0_1(a2182) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f232,plain,
    ( ~ hskp10
    | c0_1(a2186) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f233,plain,
    ( ~ hskp10
    | c1_1(a2186) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f235,plain,
    ( hskp11
    | ~ c0_1(a2187) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f236,plain,
    ( hskp11
    | c2_1(a2187) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f237,plain,
    ( hskp11
    | c1_1(a2187) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f242,plain,
    ( ~ hskp13
    | ~ c0_1(a2191) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f243,plain,
    ( ~ hskp13
    | c1_1(a2191) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f244,plain,
    ( ~ hskp14
    | c1_1(a2193) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f245,plain,
    ( hskp15
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f246,plain,
    ( hskp15
    | ~ c0_1(a2194) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f247,plain,
    ( hskp15
    | c3_1(a2194) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f248,plain,
    ( hskp15
    | ~ c2_1(a2194) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f249,plain,
    ( ~ hskp16
    | c1_1(a2195) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f251,plain,
    ( hskp17
    | c2_1(a2197) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f252,plain,
    ( hskp17
    | c3_1(a2197) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f253,plain,
    ( hskp17
    | c1_1(a2197) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f254,plain,
    ( ~ hskp18
    | ~ c0_1(a2198) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f255,plain,
    ( ~ hskp18
    | c1_1(a2198) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f257,plain,
    ( hskp19
    | c0_1(a2211) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f258,plain,
    ( hskp19
    | ~ c2_1(a2211) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f259,plain,
    ( hskp19
    | ~ c3_1(a2211) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f262,plain,
    ( ~ hskp21
    | ~ c0_1(a2216) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f263,plain,
    ( ~ hskp22
    | c1_1(a2219) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f269,plain,
    ( hskp24
    | ~ c1_1(a2262) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f270,plain,
    ( hskp24
    | c3_1(a2262) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f271,plain,
    ( hskp24
    | c0_1(a2262) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f272,plain,
    ( ~ hskp25
    | ~ c1_1(a2265) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f274,plain,
    ( hskp26
    | ~ c1_1(a2268) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f275,plain,
    ( hskp26
    | c0_1(a2268) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f276,plain,
    ( hskp26
    | ~ c2_1(a2268) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f277,plain,
    ( ~ hskp27
    | ~ c0_1(a2178) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f278,plain,
    ( ~ hskp28
    | ~ c0_1(a2188) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f279,plain,
    ( ~ hskp28
    | ~ c1_1(a2188) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f281,plain,
    ( hskp29
    | ~ c1_1(a2196) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f282,plain,
    ( hskp29
    | c2_1(a2196) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f283,plain,
    ( hskp29
    | c3_1(a2196) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f284,plain,
    ( ~ hskp30
    | ~ c0_1(a2208) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f285,plain,
    ( ~ hskp30
    | ~ c1_1(a2208) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f288,plain,
    ! [X6,X7] :
      ( ~ c0_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f289,plain,
    ! [X10,X8,X9] :
      ( ~ c0_1(X8)
      | ~ c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c1_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f290,plain,
    ! [X11,X12,X13] :
      ( ~ c0_1(X11)
      | ~ c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | c0_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f291,plain,
    ! [X14,X15] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f292,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | ~ c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f294,plain,
    ! [X21,X22,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f295,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f298,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f300,plain,
    ! [X34,X35,X33] :
      ( ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f301,plain,
    ! [X36,X37] :
      ( ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c2_1(X37)
      | c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f310,plain,
    ! [X54,X55,X53] :
      ( ~ c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f311,plain,
    ! [X58,X56,X57] :
      ( ~ c0_1(X56)
      | c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f312,plain,
    ! [X59,X60] :
      ( ~ c0_1(X59)
      | c3_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f313,plain,
    ! [X61] :
      ( ~ c0_1(X61)
      | c3_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ hskp15
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f314,plain,
    ! [X62] :
      ( ~ c0_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ hskp29
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f315,plain,
    ! [X65,X63,X64] :
      ( ~ c0_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f316,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c1_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f318,plain,
    ! [X70,X71] :
      ( ~ c0_1(X70)
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | c1_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f319,plain,
    ! [X72] :
      ( ~ c0_1(X72)
      | c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ hskp15
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f322,plain,
    ! [X80,X78,X79] :
      ( ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | c3_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f324,plain,
    ! [X83,X84] :
      ( ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f325,plain,
    ! [X86,X85] :
      ( ~ c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c3_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f326,plain,
    ! [X88,X89,X87] :
      ( ~ c1_1(X87)
      | c2_1(X87)
      | c3_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c0_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c0_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f327,plain,
    ! [X90,X91] :
      ( ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | ~ c1_1(X91)
      | c3_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f328,plain,
    ! [X92] :
      ( ~ c1_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | hskp30
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f329,plain,
    ! [X93] :
      ( ~ c1_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f330,plain,
    ! [X94,X95] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f332,plain,
    ! [X97] :
      ( ~ c1_1(X97)
      | c3_1(X97)
      | c0_1(X97)
      | ~ ndr1_0
      | ~ hskp15
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f333,plain,
    ! [X98,X99,X100] :
      ( ~ c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | c0_1(X99)
      | c1_1(X99)
      | ~ ndr1_0
      | c0_1(X100)
      | c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f335,plain,
    ! [X104,X103] :
      ( ~ c1_1(X103)
      | c0_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | ~ c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f337,plain,
    ! [X106] :
      ( ~ c1_1(X106)
      | c0_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f340,plain,
    ! [X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | c1_1(X110)
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f341,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | c0_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c0_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f343,plain,
    ! [X115] :
      ( c2_1(X115)
      | c0_1(X115)
      | c1_1(X115)
      | ~ ndr1_0
      | ~ hskp17
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f345,plain,
    ! [X117] :
      ( c3_1(X117)
      | c0_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ hskp11
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f346,plain,
    ! [X118,X119] :
      ( c3_1(X118)
      | c1_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | c0_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f347,plain,
    ! [X120] :
      ( c3_1(X120)
      | c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp0
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f349,plain,
    ! [X122] :
      ( c0_1(X122)
      | ~ c2_1(X122)
      | ~ c3_1(X122)
      | ~ ndr1_0
      | ~ hskp11
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f350,plain,
    ! [X123] :
      ( c1_1(X123)
      | ~ c2_1(X123)
      | ~ c3_1(X123)
      | ~ ndr1_0
      | hskp27
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f355,plain,
    ( ~ hskp15
    | ~ hskp3
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f356,plain,
    ( hskp13
    | ~ hskp24
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f357,plain,
    ( ~ hskp24
    | ~ hskp26
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f359,plain,
    ( ~ hskp17
    | ~ hskp3
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f360,plain,
    ! [X118,X119] :
      ( c3_1(X118)
      | c1_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | c0_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f362,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | c0_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c0_1(X112)
      | c1_1(X112)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f364,plain,
    ! [X104,X103] :
      ( ~ c1_1(X103)
      | c0_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | ~ c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f366,plain,
    ! [X98,X99,X100] :
      ( ~ c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | c0_1(X99)
      | c1_1(X99)
      | c0_1(X100)
      | c1_1(X100)
      | ~ c3_1(X100) ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f367,plain,
    ! [X94,X95] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ hskp19 ),
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f368,plain,
    ! [X90,X91] :
      ( ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | ~ c1_1(X91)
      | c3_1(X91)
      | ~ c2_1(X91)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f327]) ).

fof(f369,plain,
    ! [X88,X89,X87] :
      ( ~ c1_1(X87)
      | c2_1(X87)
      | c3_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c0_1(X88)
      | ~ c3_1(X88)
      | c0_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89) ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f370,plain,
    ! [X86,X85] :
      ( ~ c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c3_1(X86)
      | c0_1(X86)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f371,plain,
    ! [X83,X84] :
      ( ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f373,plain,
    ! [X80,X78,X79] :
      ( ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | c2_1(X80)
      | c3_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f376,plain,
    ! [X70,X71] :
      ( ~ c0_1(X70)
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | c1_1(X71)
      | ~ c3_1(X71)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f378,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c1_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f379,plain,
    ! [X65,X63,X64] :
      ( ~ c0_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ c2_1(X64)
      | c2_1(X65)
      | c0_1(X65)
      | ~ c3_1(X65) ),
    inference(duplicate_literal_removal,[],[f315]) ).

fof(f380,plain,
    ! [X59,X60] :
      ( ~ c0_1(X59)
      | c3_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f381,plain,
    ! [X58,X56,X57] :
      ( ~ c0_1(X56)
      | c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | c1_1(X57)
      | ~ c2_1(X57)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ c3_1(X58) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f382,plain,
    ! [X54,X55,X53] :
      ( ~ c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c0_1(X54)
      | ~ c3_1(X54)
      | c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f390,plain,
    ! [X36,X37] :
      ( ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c2_1(X37)
      | c1_1(X37)
      | ~ c3_1(X37)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f391,plain,
    ! [X34,X35,X33] :
      ( ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c1_1(X35)
      | c2_1(X35)
      | c3_1(X35) ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f393,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | c2_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f395,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ c2_1(X24)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f396,plain,
    ! [X21,X22,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ c2_1(X21)
      | c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f398,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | ~ c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f399,plain,
    ! [X14,X15] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ hskp1 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f400,plain,
    ! [X11,X12,X13] :
      ( ~ c0_1(X11)
      | ~ c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ c1_1(X13)
      | c0_1(X13)
      | ~ c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f401,plain,
    ! [X10,X8,X9] :
      ( ~ c0_1(X8)
      | ~ c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X10)
      | c1_1(X10)
      | ~ c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f402,plain,
    ! [X6,X7] :
      ( ~ c0_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f406,definition,
    ( spl0_1
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f410,definition,
    ( spl0_2
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f414,definition,
    ( spl0_3
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f417,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f359,f414,f410,f406]) ).

fof(f423,definition,
    ( spl0_5
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f427,definition,
    ( spl0_6
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f432,definition,
    ( spl0_7
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f435,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f357,f427,f432,f414]) ).

fof(f437,definition,
    ( spl0_8
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_9
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f445,definition,
    ( spl0_10
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f448,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f445,f441,f437]) ).

fof(f450,definition,
    ( spl0_11
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_12
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f457,plain,
    ( spl0_11
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_split_clause,[],[f356,f454,f427,f450]) ).

fof(f459,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f463,definition,
    ( spl0_14
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f466,plain,
    ( spl0_13
    | spl0_14
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f454,f463,f459]) ).

fof(f468,definition,
    ( spl0_15
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f471,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f355,f468,f410,f406]) ).

fof(f473,definition,
    ( spl0_16
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f496,definition,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_22
  <=> ! [X124] :
        ( c1_1(X124)
        | ~ c3_1(X124)
        | ~ c2_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X124] :
        ( ~ c3_1(X124)
        | c1_1(X124)
        | ~ c2_1(X124) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl0_23
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f507,plain,
    ( spl0_1
    | spl0_23
    | ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f350,f500,f496,f504,f406]) ).

fof(f509,definition,
    ( spl0_24
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f513,definition,
    ( spl0_25
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f517,definition,
    ( spl0_26
  <=> ! [X122] :
        ( c0_1(X122)
        | ~ c3_1(X122)
        | ~ c2_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f518,plain,
    ( ! [X122] :
        ( ~ c3_1(X122)
        | c0_1(X122)
        | ~ c2_1(X122) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | ~ spl0_21
    | spl0_26 ),
    inference(avatar_split_clause,[],[f349,f517,f496,f513,f509]) ).

fof(f521,definition,
    ( spl0_27
  <=> ! [X121] :
        ( c0_1(X121)
        | ~ c3_1(X121)
        | c1_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f522,plain,
    ( ! [X121] :
        ( ~ c3_1(X121)
        | c0_1(X121)
        | c1_1(X121) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f525,definition,
    ( spl0_28
  <=> ! [X120] :
        ( c3_1(X120)
        | ~ c2_1(X120)
        | c1_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f526,plain,
    ( ! [X120] :
        ( c3_1(X120)
        | ~ c2_1(X120)
        | c1_1(X120) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f347,f525,f496,f463,f437]) ).

fof(f529,definition,
    ( spl0_29
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f532,plain,
    ( spl0_29
    | spl0_26
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f360,f525,f496,f517,f529]) ).

fof(f534,definition,
    ( spl0_30
  <=> ! [X117] :
        ( c3_1(X117)
        | ~ c2_1(X117)
        | c0_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f535,plain,
    ( ! [X117] :
        ( c3_1(X117)
        | ~ c2_1(X117)
        | c0_1(X117) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( spl0_13
    | ~ spl0_25
    | ~ spl0_21
    | spl0_30 ),
    inference(avatar_split_clause,[],[f345,f534,f496,f513,f459]) ).

fof(f538,definition,
    ( spl0_31
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f542,definition,
    ( spl0_32
  <=> ! [X116] :
        ( c3_1(X116)
        | c1_1(X116)
        | c0_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X116] :
        ( c3_1(X116)
        | c1_1(X116)
        | c0_1(X116) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl0_33
  <=> ! [X115] :
        ( c2_1(X115)
        | c1_1(X115)
        | c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X115] :
        ( c0_1(X115)
        | c1_1(X115)
        | c2_1(X115) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( spl0_13
    | ~ spl0_3
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f343,f546,f496,f414,f459]) ).

fof(f554,definition,
    ( spl0_35
  <=> ! [X114] :
        ( c0_1(X114)
        | ~ c2_1(X114)
        | c1_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f555,plain,
    ( ! [X114] :
        ( c0_1(X114)
        | ~ c2_1(X114)
        | c1_1(X114) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f558,definition,
    ( spl0_36
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f561,plain,
    ( spl0_36
    | spl0_32
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f362,f546,f496,f542,f558]) ).

fof(f563,definition,
    ( spl0_37
  <=> ! [X110] :
        ( c2_1(X110)
        | c1_1(X110)
        | c3_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X110] :
        ( c3_1(X110)
        | c1_1(X110)
        | c2_1(X110) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f340,f563,f496,f454,f406]) ).

fof(f572,definition,
    ( spl0_39
  <=> ! [X107] :
        ( ~ c1_1(X107)
        | ~ c3_1(X107)
        | ~ c2_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f573,plain,
    ( ! [X107] :
        ( ~ c3_1(X107)
        | ~ c1_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f576,definition,
    ( spl0_40
  <=> ! [X106] :
        ( ~ c1_1(X106)
        | ~ c3_1(X106)
        | c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f577,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | ~ c1_1(X106)
        | c0_1(X106) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_21
    | spl0_40 ),
    inference(avatar_split_clause,[],[f337,f576,f496,f454,f406]) ).

fof(f580,definition,
    ( spl0_41
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f584,definition,
    ( spl0_42
  <=> ! [X105] :
        ( ~ c1_1(X105)
        | ~ c2_1(X105)
        | c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f585,plain,
    ( ! [X105] :
        ( c0_1(X105)
        | ~ c2_1(X105)
        | ~ c1_1(X105) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f587,plain,
    ( spl0_13
    | spl0_39
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f364,f584,f496,f572,f459]) ).

fof(f590,definition,
    ( spl0_43
  <=> ! [X98] :
        ( ~ c1_1(X98)
        | ~ c2_1(X98)
        | c3_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f591,plain,
    ( ! [X98] :
        ( c3_1(X98)
        | ~ c2_1(X98)
        | ~ c1_1(X98) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f592,plain,
    ( spl0_27
    | spl0_32
    | ~ spl0_21
    | spl0_43 ),
    inference(avatar_split_clause,[],[f366,f590,f496,f542,f521]) ).

fof(f594,definition,
    ( spl0_44
  <=> ! [X97] :
        ( ~ c1_1(X97)
        | c0_1(X97)
        | c3_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f595,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | c0_1(X97)
        | ~ c1_1(X97) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f596,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f332,f594,f496,f468,f463]) ).

fof(f598,plain,
    ( ~ spl0_16
    | spl0_42
    | ~ spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f367,f594,f496,f584,f473]) ).

fof(f600,definition,
    ( spl0_45
  <=> ! [X93] :
        ( ~ c1_1(X93)
        | c0_1(X93)
        | c2_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f601,plain,
    ( ! [X93] :
        ( c0_1(X93)
        | ~ c1_1(X93)
        | c2_1(X93) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f602,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f329,f600,f496,f406]) ).

fof(f604,definition,
    ( spl0_46
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ spl0_24
    | spl0_46
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f328,f600,f496,f604,f509]) ).

fof(f608,plain,
    ( spl0_5
    | spl0_43
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f368,f600,f496,f590,f423]) ).

fof(f610,definition,
    ( spl0_47
  <=> ! [X87] :
        ( ~ c1_1(X87)
        | c3_1(X87)
        | c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f611,plain,
    ( ! [X87] :
        ( c3_1(X87)
        | ~ c1_1(X87)
        | c2_1(X87) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( spl0_26
    | spl0_40
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f369,f610,f496,f576,f517]) ).

fof(f613,plain,
    ( spl0_41
    | spl0_44
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f370,f610,f496,f594,f580]) ).

fof(f615,definition,
    ( spl0_48
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c3_1(X83)
        | ~ c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f616,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | ~ c0_1(X83)
        | ~ c2_1(X83) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( spl0_5
    | spl0_22
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f371,f615,f496,f500,f423]) ).

fof(f620,definition,
    ( spl0_49
  <=> ! [X80] :
        ( c2_1(X80)
        | c0_1(X80)
        | c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f621,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( spl0_49
    | spl0_39
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f373,f615,f496,f572,f620]) ).

fof(f626,definition,
    ( spl0_50
  <=> ! [X72] :
        ( ~ c0_1(X72)
        | ~ c2_1(X72)
        | c1_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f627,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | ~ c2_1(X72)
        | c1_1(X72) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f319,f626,f496,f468,f410]) ).

fof(f630,definition,
    ( spl0_51
  <=> ! [X71] :
        ( c2_1(X71)
        | ~ c3_1(X71)
        | c1_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f631,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71)
        | c1_1(X71) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( spl0_23
    | spl0_51
    | ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f376,f626,f496,f630,f504]) ).

fof(f634,plain,
    ( spl0_36
    | spl0_44
    | ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f378,f626,f496,f594,f558]) ).

fof(f636,definition,
    ( spl0_52
  <=> ! [X65] :
        ( c2_1(X65)
        | ~ c3_1(X65)
        | c0_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f637,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c2_1(X65)
        | c0_1(X65) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,definition,
    ( spl0_53
  <=> ! [X63] :
        ( ~ c0_1(X63)
        | ~ c2_1(X63)
        | c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f640,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | ~ c2_1(X63)
        | ~ c0_1(X63) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( spl0_52
    | spl0_42
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f379,f639,f496,f584,f636]) ).

fof(f643,definition,
    ( spl0_54
  <=> ! [X62] :
        ( ~ c0_1(X62)
        | c1_1(X62)
        | c3_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f644,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | c1_1(X62)
        | ~ c0_1(X62) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f645,plain,
    ( ~ spl0_3
    | ~ spl0_31
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f314,f643,f496,f538,f414]) ).

fof(f646,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f313,f643,f496,f468,f406]) ).

fof(f647,plain,
    ( spl0_11
    | spl0_37
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f380,f643,f496,f563,f450]) ).

fof(f648,plain,
    ( spl0_40
    | spl0_50
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f381,f643,f496,f626,f576]) ).

fof(f650,definition,
    ( spl0_55
  <=> ! [X53] :
        ( ~ c0_1(X53)
        | ~ c3_1(X53)
        | c2_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f651,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53)
        | c2_1(X53) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( spl0_22
    | spl0_52
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f382,f650,f496,f636,f500]) ).

fof(f666,definition,
    ( spl0_58
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | ~ c3_1(X40)
        | ~ c1_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f667,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c0_1(X40)
        | ~ c1_1(X40) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f670,plain,
    ( spl0_14
    | spl0_51
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f390,f666,f496,f630,f463]) ).

fof(f671,plain,
    ( spl0_47
    | spl0_50
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f391,f666,f496,f626,f610]) ).

fof(f673,plain,
    ( spl0_37
    | spl0_54
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f393,f666,f496,f643,f563]) ).

fof(f679,definition,
    ( spl0_60
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27)
        | ~ c1_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f680,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27)
        | ~ c1_1(X27) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f683,plain,
    ( spl0_23
    | spl0_50
    | ~ spl0_21
    | spl0_60 ),
    inference(avatar_split_clause,[],[f395,f679,f496,f626,f504]) ).

fof(f684,plain,
    ( spl0_27
    | spl0_50
    | ~ spl0_21
    | spl0_60 ),
    inference(avatar_split_clause,[],[f396,f679,f496,f626,f521]) ).

fof(f687,definition,
    ( spl0_61
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | c3_1(X16)
        | ~ c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f688,plain,
    ( ! [X16] :
        ( c3_1(X16)
        | ~ c0_1(X16)
        | ~ c1_1(X16) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( spl0_5
    | spl0_26
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f398,f687,f496,f517,f423]) ).

fof(f690,plain,
    ( ~ spl0_24
    | spl0_39
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f399,f687,f496,f572,f509]) ).

fof(f691,plain,
    ( spl0_42
    | spl0_47
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f400,f687,f496,f610,f584]) ).

fof(f693,definition,
    ( spl0_62
  <=> ! [X10] :
        ( ~ c0_1(X10)
        | ~ c3_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f694,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | ~ c0_1(X10)
        | c1_1(X10) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_62
    | spl0_53
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f401,f687,f496,f639,f693]) ).

fof(f697,definition,
    ( spl0_63
  <=> ! [X6] :
        ( ~ c0_1(X6)
        | c2_1(X6)
        | ~ c1_1(X6) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f698,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c2_1(X6)
        | ~ c1_1(X6) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_14
    | spl0_39
    | ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f402,f697,f496,f572,f463]) ).

fof(f703,definition,
    ( spl0_64
  <=> c3_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f705,plain,
    ( c3_1(a2208)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( spl0_64
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f82,f604,f703]) ).

fof(f708,definition,
    ( spl0_65
  <=> c1_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ spl0_65
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f285,f604,f708]) ).

fof(f713,definition,
    ( spl0_66
  <=> c0_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f715,plain,
    ( ~ c0_1(a2208)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f716,plain,
    ( ~ spl0_66
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f284,f604,f713]) ).

fof(f719,definition,
    ( spl0_67
  <=> c3_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a2196)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f722,plain,
    ( spl0_67
    | spl0_31 ),
    inference(avatar_split_clause,[],[f283,f538,f719]) ).

fof(f724,definition,
    ( spl0_68
  <=> c2_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f727,plain,
    ( spl0_68
    | spl0_31 ),
    inference(avatar_split_clause,[],[f282,f538,f724]) ).

fof(f729,definition,
    ( spl0_69
  <=> c1_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f732,plain,
    ( ~ spl0_69
    | spl0_31 ),
    inference(avatar_split_clause,[],[f281,f538,f729]) ).

fof(f735,definition,
    ( spl0_70
  <=> c2_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_70
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f90,f580,f735]) ).

fof(f740,definition,
    ( spl0_71
  <=> c1_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f743,plain,
    ( ~ spl0_71
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f279,f580,f740]) ).

fof(f745,definition,
    ( spl0_72
  <=> c0_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ c0_1(a2188)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f748,plain,
    ( ~ spl0_72
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f278,f580,f745]) ).

fof(f751,definition,
    ( spl0_73
  <=> c3_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f753,plain,
    ( c3_1(a2178)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f754,plain,
    ( spl0_73
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f94,f504,f751]) ).

fof(f756,definition,
    ( spl0_74
  <=> c2_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f759,plain,
    ( spl0_74
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f95,f504,f756]) ).

fof(f761,definition,
    ( spl0_75
  <=> c0_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ c0_1(a2178)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( ~ spl0_75
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f277,f504,f761]) ).

fof(f767,definition,
    ( spl0_76
  <=> c2_1(a2268) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ c2_1(a2268)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( ~ spl0_76
    | spl0_7 ),
    inference(avatar_split_clause,[],[f276,f432,f767]) ).

fof(f772,definition,
    ( spl0_77
  <=> c0_1(a2268) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f774,plain,
    ( c0_1(a2268)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f775,plain,
    ( spl0_77
    | spl0_7 ),
    inference(avatar_split_clause,[],[f275,f432,f772]) ).

fof(f777,definition,
    ( spl0_78
  <=> c1_1(a2268) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ spl0_78
    | spl0_7 ),
    inference(avatar_split_clause,[],[f274,f432,f777]) ).

fof(f783,definition,
    ( spl0_79
  <=> c2_1(a2265) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ spl0_79
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f102,f441,f783]) ).

fof(f788,definition,
    ( spl0_80
  <=> c3_1(a2265) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f790,plain,
    ( c3_1(a2265)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,plain,
    ( spl0_80
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f103,f441,f788]) ).

fof(f793,definition,
    ( spl0_81
  <=> c1_1(a2265) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ spl0_81
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f272,f441,f793]) ).

fof(f799,definition,
    ( spl0_82
  <=> c0_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f802,plain,
    ( spl0_82
    | spl0_6 ),
    inference(avatar_split_clause,[],[f271,f427,f799]) ).

fof(f804,definition,
    ( spl0_83
  <=> c3_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f806,plain,
    ( c3_1(a2262)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( spl0_83
    | spl0_6 ),
    inference(avatar_split_clause,[],[f270,f427,f804]) ).

fof(f809,definition,
    ( spl0_84
  <=> c1_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ spl0_84
    | spl0_6 ),
    inference(avatar_split_clause,[],[f269,f427,f809]) ).

fof(f831,definition,
    ( spl0_88
  <=> c3_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f833,plain,
    ( ~ c3_1(a2219)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( ~ spl0_88
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f114,f437,f831]) ).

fof(f836,definition,
    ( spl0_89
  <=> c1_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f839,plain,
    ( spl0_89
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f263,f437,f836]) ).

fof(f841,definition,
    ( spl0_90
  <=> c2_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f844,plain,
    ( spl0_90
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f116,f437,f841]) ).

fof(f847,definition,
    ( spl0_91
  <=> c3_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f849,plain,
    ( ~ c3_1(a2216)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f850,plain,
    ( ~ spl0_91
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f118,f445,f847]) ).

fof(f852,definition,
    ( spl0_92
  <=> c2_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ spl0_92
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f119,f445,f852]) ).

fof(f857,definition,
    ( spl0_93
  <=> c0_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ c0_1(a2216)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f860,plain,
    ( ~ spl0_93
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f262,f445,f857]) ).

fof(f879,definition,
    ( spl0_97
  <=> c3_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ c3_1(a2211)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( ~ spl0_97
    | spl0_16 ),
    inference(avatar_split_clause,[],[f259,f473,f879]) ).

fof(f884,definition,
    ( spl0_98
  <=> c2_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f886,plain,
    ( ~ c2_1(a2211)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f887,plain,
    ( ~ spl0_98
    | spl0_16 ),
    inference(avatar_split_clause,[],[f258,f473,f884]) ).

fof(f889,definition,
    ( spl0_99
  <=> c0_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f892,plain,
    ( spl0_99
    | spl0_16 ),
    inference(avatar_split_clause,[],[f257,f473,f889]) ).

fof(f895,definition,
    ( spl0_100
  <=> c2_1(a2198) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ spl0_100
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f130,f558,f895]) ).

fof(f900,definition,
    ( spl0_101
  <=> c1_1(a2198) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f903,plain,
    ( spl0_101
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f255,f558,f900]) ).

fof(f905,definition,
    ( spl0_102
  <=> c0_1(a2198) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f907,plain,
    ( ~ c0_1(a2198)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f908,plain,
    ( ~ spl0_102
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f254,f558,f905]) ).

fof(f911,definition,
    ( spl0_103
  <=> c1_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f914,plain,
    ( spl0_103
    | spl0_3 ),
    inference(avatar_split_clause,[],[f253,f414,f911]) ).

fof(f916,definition,
    ( spl0_104
  <=> c3_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f918,plain,
    ( c3_1(a2197)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( spl0_104
    | spl0_3 ),
    inference(avatar_split_clause,[],[f252,f414,f916]) ).

fof(f921,definition,
    ( spl0_105
  <=> c2_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f924,plain,
    ( spl0_105
    | spl0_3 ),
    inference(avatar_split_clause,[],[f251,f414,f921]) ).

fof(f927,definition,
    ( spl0_106
  <=> c3_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ c3_1(a2195)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( ~ spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f406,f927]) ).

fof(f932,definition,
    ( spl0_107
  <=> c2_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f935,plain,
    ( ~ spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f406,f932]) ).

fof(f937,definition,
    ( spl0_108
  <=> c1_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f940,plain,
    ( spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f249,f406,f937]) ).

fof(f941,plain,
    ( spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f406,f496]) ).

fof(f943,definition,
    ( spl0_109
  <=> c2_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f946,plain,
    ( ~ spl0_109
    | spl0_15 ),
    inference(avatar_split_clause,[],[f248,f468,f943]) ).

fof(f948,definition,
    ( spl0_110
  <=> c3_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f950,plain,
    ( c3_1(a2194)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f951,plain,
    ( spl0_110
    | spl0_15 ),
    inference(avatar_split_clause,[],[f247,f468,f948]) ).

fof(f953,definition,
    ( spl0_111
  <=> c0_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f955,plain,
    ( ~ c0_1(a2194)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f956,plain,
    ( ~ spl0_111
    | spl0_15 ),
    inference(avatar_split_clause,[],[f246,f468,f953]) ).

fof(f957,plain,
    ( spl0_21
    | spl0_15 ),
    inference(avatar_split_clause,[],[f245,f468,f496]) ).

fof(f959,definition,
    ( spl0_112
  <=> c2_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ spl0_112
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f146,f450,f959]) ).

fof(f964,definition,
    ( spl0_113
  <=> c1_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f967,plain,
    ( spl0_113
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f244,f450,f964]) ).

fof(f969,definition,
    ( spl0_114
  <=> c3_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f971,plain,
    ( c3_1(a2193)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f972,plain,
    ( spl0_114
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f148,f450,f969]) ).

fof(f975,definition,
    ( spl0_115
  <=> c3_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f977,plain,
    ( ~ c3_1(a2191)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f978,plain,
    ( ~ spl0_115
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f150,f454,f975]) ).

fof(f980,definition,
    ( spl0_116
  <=> c1_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f983,plain,
    ( spl0_116
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f243,f454,f980]) ).

fof(f985,definition,
    ( spl0_117
  <=> c0_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ c0_1(a2191)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f988,plain,
    ( ~ spl0_117
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f242,f454,f985]) ).

fof(f1007,definition,
    ( spl0_121
  <=> c1_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1010,plain,
    ( spl0_121
    | spl0_25 ),
    inference(avatar_split_clause,[],[f237,f513,f1007]) ).

fof(f1012,definition,
    ( spl0_122
  <=> c2_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1015,plain,
    ( spl0_122
    | spl0_25 ),
    inference(avatar_split_clause,[],[f236,f513,f1012]) ).

fof(f1017,definition,
    ( spl0_123
  <=> c0_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ c0_1(a2187)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1020,plain,
    ( ~ spl0_123
    | spl0_25 ),
    inference(avatar_split_clause,[],[f235,f513,f1017]) ).

fof(f1023,definition,
    ( spl0_124
  <=> c1_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1026,plain,
    ( spl0_124
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f233,f459,f1023]) ).

fof(f1028,definition,
    ( spl0_125
  <=> c0_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1030,plain,
    ( c0_1(a2186)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1031,plain,
    ( spl0_125
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f232,f459,f1028]) ).

fof(f1033,definition,
    ( spl0_126
  <=> c3_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1035,plain,
    ( c3_1(a2186)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1036,plain,
    ( spl0_126
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f164,f459,f1033]) ).

fof(f1071,definition,
    ( spl0_133
  <=> c0_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1073,plain,
    ( c0_1(a2182)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1074,plain,
    ( spl0_133
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f225,f529,f1071]) ).

fof(f1076,definition,
    ( spl0_134
  <=> c3_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1078,plain,
    ( c3_1(a2182)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1079,plain,
    ( spl0_134
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f175,f529,f1076]) ).

fof(f1081,definition,
    ( spl0_135
  <=> c2_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1084,plain,
    ( spl0_135
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f176,f529,f1081]) ).

fof(f1135,definition,
    ( spl0_145
  <=> c3_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1137,plain,
    ( ~ c3_1(a2177)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1138,plain,
    ( ~ spl0_145
    | spl0_2 ),
    inference(avatar_split_clause,[],[f217,f410,f1135]) ).

fof(f1140,definition,
    ( spl0_146
  <=> c1_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1143,plain,
    ( spl0_146
    | spl0_2 ),
    inference(avatar_split_clause,[],[f216,f410,f1140]) ).

fof(f1145,definition,
    ( spl0_147
  <=> c0_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1147,plain,
    ( c0_1(a2177)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f1148,plain,
    ( spl0_147
    | spl0_2 ),
    inference(avatar_split_clause,[],[f215,f410,f1145]) ).

fof(f1149,plain,
    ( spl0_21
    | spl0_2 ),
    inference(avatar_split_clause,[],[f214,f410,f496]) ).

fof(f1151,definition,
    ( spl0_148
  <=> c3_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1153,plain,
    ( ~ c3_1(a2176)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1154,plain,
    ( ~ spl0_148
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f194,f423,f1151]) ).

fof(f1156,definition,
    ( spl0_149
  <=> c0_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1159,plain,
    ( spl0_149
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f213,f423,f1156]) ).

fof(f1161,definition,
    ( spl0_150
  <=> c1_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1164,plain,
    ( ~ spl0_150
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f212,f423,f1161]) ).

fof(f1167,definition,
    ( spl0_151
  <=> c3_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1169,plain,
    ( ~ c3_1(a2175)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1170,plain,
    ( ~ spl0_151
    | spl0_24 ),
    inference(avatar_split_clause,[],[f211,f509,f1167]) ).

fof(f1172,definition,
    ( spl0_152
  <=> c0_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1175,plain,
    ( spl0_152
    | spl0_24 ),
    inference(avatar_split_clause,[],[f210,f509,f1172]) ).

fof(f1177,definition,
    ( spl0_153
  <=> c2_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1180,plain,
    ( spl0_153
    | spl0_24 ),
    inference(avatar_split_clause,[],[f209,f509,f1177]) ).

fof(f1183,definition,
    ( spl0_154
  <=> c0_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1185,plain,
    ( c0_1(a2174)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1186,plain,
    ( spl0_154
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f207,f463,f1183]) ).

fof(f1188,definition,
    ( spl0_155
  <=> c2_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1191,plain,
    ( spl0_155
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f203,f463,f1188]) ).

fof(f1193,definition,
    ( spl0_156
  <=> c1_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1196,plain,
    ( ~ spl0_156
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f206,f463,f1193]) ).

fof(f1202,definition,
    ( spl0_157
  <=> c2_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1204,plain,
    ( ~ c2_1(a2262)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1210,definition,
    ( spl0_158
  <=> c0_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1211,plain,
    ( ~ c0_1(a2197)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f1212,plain,
    ( c0_1(a2197)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f1216,plain,
    ( c0_1(a2194)
    | c1_1(a2194)
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(resolution,[],[f522,f950]) ).

fof(f1218,definition,
    ( spl0_159
  <=> c1_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1221,plain,
    ( spl0_159
    | spl0_111
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1216,f948,f521,f953,f1218]) ).

fof(f1224,definition,
    ( spl0_160
  <=> c1_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1229,plain,
    ( ~ c2_1(a2176)
    | c1_1(a2176)
    | ~ spl0_28
    | spl0_148 ),
    inference(resolution,[],[f526,f1153]) ).

fof(f1248,definition,
    ( spl0_161
  <=> c2_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1253,definition,
    ( spl0_162
  <=> c2_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1268,definition,
    ( spl0_165
  <=> c2_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1273,definition,
    ( spl0_166
  <=> c2_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1276,plain,
    ( spl0_150
    | ~ spl0_166
    | ~ spl0_28
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1229,f1151,f525,f1273,f1161]) ).

fof(f1297,definition,
    ( spl0_167
  <=> c2_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1315,plain,
    ( c1_1(a2216)
    | c0_1(a2216)
    | ~ spl0_32
    | spl0_91 ),
    inference(resolution,[],[f543,f849]) ).

fof(f1322,definition,
    ( spl0_168
  <=> c0_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1324,plain,
    ( c0_1(a2196)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1332,definition,
    ( spl0_170
  <=> c0_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1333,plain,
    ( ~ c0_1(a2219)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f1334,plain,
    ( c0_1(a2219)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f1337,definition,
    ( spl0_171
  <=> c1_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1340,plain,
    ( spl0_93
    | spl0_171
    | ~ spl0_32
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1315,f847,f542,f1337,f857]) ).

fof(f1342,definition,
    ( spl0_172
  <=> c0_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1343,plain,
    ( ~ c0_1(a2195)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f1344,plain,
    ( c0_1(a2195)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f1347,definition,
    ( spl0_173
  <=> c0_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1349,plain,
    ( c0_1(a2193)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1359,definition,
    ( spl0_175
  <=> c1_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1393,plain,
    ( c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_33
    | spl0_111 ),
    inference(resolution,[],[f547,f955]) ).

fof(f1397,plain,
    ( c1_1(a2216)
    | c2_1(a2216)
    | ~ spl0_33
    | spl0_93 ),
    inference(resolution,[],[f547,f859]) ).

fof(f1415,plain,
    ( spl0_109
    | spl0_159
    | ~ spl0_33
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1393,f953,f546,f1218,f943]) ).

fof(f1427,plain,
    ( c1_1(a2176)
    | c2_1(a2176)
    | ~ spl0_37
    | spl0_148 ),
    inference(resolution,[],[f564,f1153]) ).

fof(f1449,definition,
    ( spl0_179
  <=> c1_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1463,plain,
    ( spl0_166
    | spl0_150
    | ~ spl0_37
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1427,f1151,f563,f1161,f1273]) ).

fof(f1469,plain,
    ( ~ c1_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_39
    | ~ spl0_104 ),
    inference(resolution,[],[f573,f918]) ).

fof(f1475,plain,
    ( ~ spl0_105
    | ~ spl0_103
    | ~ spl0_39
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1469,f916,f572,f911,f921]) ).

fof(f1478,plain,
    ( ~ c1_1(a2193)
    | c0_1(a2193)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f577,f971]) ).

fof(f1480,plain,
    ( ~ c1_1(a2197)
    | c0_1(a2197)
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(resolution,[],[f577,f918]) ).

fof(f1485,plain,
    ( spl0_158
    | ~ spl0_103
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1480,f916,f576,f911,f1210]) ).

fof(f1486,plain,
    ( spl0_173
    | ~ spl0_113
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1478,f969,f576,f964,f1347]) ).

fof(f1490,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(resolution,[],[f518,f526]) ).

fof(f1496,plain,
    ( c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(resolution,[],[f518,f721]) ).

fof(f1497,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1490]) ).

fof(f1498,plain,
    ( ~ spl0_68
    | spl0_168
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1496,f719,f517,f1322,f724]) ).

fof(f1500,plain,
    ( spl0_35
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1497,f525,f517,f554]) ).

fof(f1518,plain,
    ( spl0_92
    | spl0_171
    | ~ spl0_33
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1397,f857,f546,f1337,f852]) ).

fof(f1542,plain,
    ( c1_1(a2208)
    | c2_1(a2208)
    | ~ spl0_33
    | spl0_66 ),
    inference(resolution,[],[f547,f715]) ).

fof(f1548,plain,
    ( ~ c2_1(a2187)
    | ~ c1_1(a2187)
    | ~ spl0_42
    | spl0_123 ),
    inference(resolution,[],[f585,f1019]) ).

fof(f1557,plain,
    ( ~ c2_1(a2219)
    | ~ c1_1(a2219)
    | ~ spl0_42
    | spl0_170 ),
    inference(resolution,[],[f585,f1333]) ).

fof(f1561,plain,
    ( ~ spl0_89
    | ~ spl0_90
    | ~ spl0_42
    | spl0_170 ),
    inference(avatar_split_clause,[],[f1557,f1332,f584,f841,f836]) ).

fof(f1572,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(resolution,[],[f591,f518]) ).

fof(f1586,plain,
    ( ~ c2_1(a2219)
    | ~ c1_1(a2219)
    | ~ spl0_43
    | spl0_88 ),
    inference(resolution,[],[f591,f833]) ).

fof(f1589,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1572]) ).

fof(f1591,plain,
    ( ~ spl0_89
    | ~ spl0_90
    | ~ spl0_43
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1586,f831,f590,f841,f836]) ).

fof(f1593,plain,
    ( spl0_42
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1589,f590,f517,f584]) ).

fof(f1632,plain,
    ( ~ c2_1(a2188)
    | c1_1(a2188)
    | ~ spl0_35
    | spl0_72 ),
    inference(resolution,[],[f555,f747]) ).

fof(f1643,plain,
    ( ~ c2_1(a2191)
    | ~ c1_1(a2191)
    | ~ spl0_42
    | spl0_117 ),
    inference(resolution,[],[f585,f987]) ).

fof(f1646,plain,
    ( ~ c2_1(a2197)
    | ~ c1_1(a2197)
    | ~ spl0_42
    | spl0_158 ),
    inference(resolution,[],[f585,f1211]) ).

fof(f1651,plain,
    ( ~ c2_1(a2178)
    | ~ c1_1(a2178)
    | ~ spl0_42
    | spl0_75 ),
    inference(resolution,[],[f585,f763]) ).

fof(f1666,plain,
    ( c0_1(a2195)
    | ~ c1_1(a2195)
    | ~ spl0_44
    | spl0_106 ),
    inference(resolution,[],[f595,f929]) ).

fof(f1688,plain,
    ( ~ c1_1(a2191)
    | c2_1(a2191)
    | ~ spl0_45
    | spl0_117 ),
    inference(resolution,[],[f601,f987]) ).

fof(f1690,plain,
    ( ~ c1_1(a2195)
    | c2_1(a2195)
    | ~ spl0_45
    | spl0_172 ),
    inference(resolution,[],[f601,f1343]) ).

fof(f1692,plain,
    ( ~ c1_1(a2198)
    | c2_1(a2198)
    | ~ spl0_45
    | spl0_102 ),
    inference(resolution,[],[f601,f907]) ).

fof(f1694,plain,
    ( ~ c1_1(a2216)
    | c2_1(a2216)
    | ~ spl0_45
    | spl0_93 ),
    inference(resolution,[],[f601,f859]) ).

fof(f1703,plain,
    ( spl0_107
    | ~ spl0_108
    | ~ spl0_45
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1690,f1342,f600,f937,f932]) ).

fof(f1710,plain,
    ( c0_1(a2208)
    | c1_1(a2208)
    | ~ spl0_27
    | ~ spl0_64 ),
    inference(resolution,[],[f705,f522]) ).

fof(f1711,plain,
    ( c0_1(a2208)
    | ~ c2_1(a2208)
    | ~ spl0_26
    | ~ spl0_64 ),
    inference(resolution,[],[f705,f518]) ).

fof(f1712,plain,
    ( spl0_65
    | spl0_66
    | ~ spl0_27
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1710,f703,f521,f713,f708]) ).

fof(f1718,plain,
    ( ~ c1_1(a2177)
    | c2_1(a2177)
    | ~ spl0_47
    | spl0_145 ),
    inference(resolution,[],[f611,f1137]) ).

fof(f1726,plain,
    ( ~ c1_1(a2195)
    | c2_1(a2195)
    | ~ spl0_47
    | spl0_106 ),
    inference(resolution,[],[f611,f929]) ).

fof(f1733,plain,
    ( spl0_107
    | ~ spl0_108
    | ~ spl0_47
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1726,f927,f610,f937,f932]) ).

fof(f1737,plain,
    ( spl0_165
    | ~ spl0_146
    | ~ spl0_47
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1718,f1135,f610,f1140,f1268]) ).

fof(f1742,plain,
    ( ~ spl0_108
    | spl0_172
    | ~ spl0_44
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1666,f927,f594,f1342,f937]) ).

fof(f1778,plain,
    ( ~ c2_1(a2174)
    | c1_1(a2174)
    | ~ spl0_50
    | ~ spl0_154 ),
    inference(resolution,[],[f627,f1185]) ).

fof(f1799,plain,
    ( ~ c2_1(a2196)
    | c1_1(a2196)
    | ~ spl0_50
    | ~ spl0_168 ),
    inference(resolution,[],[f627,f1324]) ).

fof(f1809,plain,
    ( c2_1(a2194)
    | c1_1(a2194)
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(resolution,[],[f631,f950]) ).

fof(f1811,plain,
    ( c2_1(a2265)
    | c1_1(a2265)
    | ~ spl0_51
    | ~ spl0_80 ),
    inference(resolution,[],[f631,f790]) ).

fof(f1812,plain,
    ( c2_1(a2208)
    | c1_1(a2208)
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(resolution,[],[f631,f705]) ).

fof(f1813,plain,
    ( spl0_65
    | spl0_161
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1812,f703,f630,f1248,f708]) ).

fof(f1816,plain,
    ( spl0_159
    | spl0_109
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1809,f948,f630,f943,f1218]) ).

fof(f1823,plain,
    ( spl0_100
    | ~ spl0_101
    | ~ spl0_45
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1692,f905,f600,f900,f895]) ).

fof(f1825,plain,
    ( spl0_156
    | ~ spl0_155
    | ~ spl0_50
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1778,f1183,f626,f1188,f1193]) ).

fof(f1827,plain,
    ( spl0_69
    | ~ spl0_68
    | ~ spl0_50
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1799,f1322,f626,f724,f729]) ).

fof(f1855,plain,
    ( spl0_92
    | ~ spl0_171
    | ~ spl0_45
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1694,f857,f600,f1337,f852]) ).

fof(f1887,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(resolution,[],[f535,f518]) ).

fof(f1903,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1887]) ).

fof(f1910,plain,
    ( ~ c2_1(a2178)
    | ~ spl0_26
    | ~ spl0_30
    | spl0_75 ),
    inference(resolution,[],[f1903,f763]) ).

fof(f1912,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(resolution,[],[f543,f518]) ).

fof(f1928,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1912]) ).

fof(f1932,plain,
    ( c0_1(a2178)
    | c1_1(a2178)
    | ~ spl0_27
    | ~ spl0_73 ),
    inference(resolution,[],[f753,f522]) ).

fof(f1933,plain,
    ( c0_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(resolution,[],[f753,f518]) ).

fof(f1963,plain,
    ( c0_1(a2191)
    | ~ c1_1(a2191)
    | ~ spl0_44
    | spl0_115 ),
    inference(resolution,[],[f595,f977]) ).

fof(f1978,plain,
    ( ~ c0_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(resolution,[],[f616,f806]) ).

fof(f1998,plain,
    ( c0_1(a2195)
    | c2_1(a2195)
    | ~ spl0_49
    | spl0_106 ),
    inference(resolution,[],[f621,f929]) ).

fof(f2041,plain,
    ( ~ c2_1(a2188)
    | ~ spl0_26
    | ~ spl0_30
    | spl0_72 ),
    inference(resolution,[],[f747,f1903]) ).

fof(f2051,plain,
    ( c2_1(a2194)
    | c0_1(a2194)
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(resolution,[],[f637,f950]) ).

fof(f2066,plain,
    ( spl0_111
    | spl0_109
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2051,f948,f636,f943,f953]) ).

fof(f2071,plain,
    ( ~ c2_1(a2175)
    | ~ c0_1(a2175)
    | ~ spl0_53
    | spl0_151 ),
    inference(resolution,[],[f640,f1169]) ).

fof(f2083,plain,
    ( ~ c2_1(a2219)
    | ~ c0_1(a2219)
    | ~ spl0_53
    | spl0_88 ),
    inference(resolution,[],[f640,f833]) ).

fof(f2086,plain,
    ( ~ spl0_170
    | ~ spl0_90
    | ~ spl0_53
    | spl0_88 ),
    inference(avatar_split_clause,[],[f2083,f831,f639,f841,f1332]) ).

fof(f2087,plain,
    ( ~ spl0_152
    | ~ spl0_153
    | ~ spl0_53
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2071,f1167,f639,f1177,f1172]) ).

fof(f2091,plain,
    ( c1_1(a2176)
    | ~ c0_1(a2176)
    | ~ spl0_54
    | spl0_148 ),
    inference(resolution,[],[f644,f1153]) ).

fof(f2101,plain,
    ( c1_1(a2211)
    | ~ c0_1(a2211)
    | ~ spl0_54
    | spl0_97 ),
    inference(resolution,[],[f644,f881]) ).

fof(f2124,plain,
    ( ~ c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_45
    | spl0_111 ),
    inference(resolution,[],[f601,f955]) ).

fof(f2129,plain,
    ( spl0_109
    | ~ spl0_159
    | ~ spl0_45
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2124,f953,f600,f1218,f943]) ).

fof(f2137,plain,
    ( ~ c0_1(a2186)
    | c2_1(a2186)
    | ~ spl0_55
    | ~ spl0_126 ),
    inference(resolution,[],[f651,f1035]) ).

fof(f2155,plain,
    ( ~ spl0_116
    | ~ spl0_167
    | ~ spl0_42
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1643,f985,f584,f1297,f980]) ).

fof(f2156,plain,
    ( spl0_167
    | ~ spl0_116
    | ~ spl0_45
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1688,f985,f600,f980,f1297]) ).

fof(f2164,plain,
    ( spl0_161
    | spl0_65
    | ~ spl0_33
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1542,f713,f546,f708,f1248]) ).

fof(f2174,plain,
    ( ~ spl0_116
    | spl0_117
    | ~ spl0_44
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1963,f975,f594,f985,f980]) ).

fof(f2175,plain,
    ( ~ spl0_161
    | spl0_66
    | ~ spl0_26
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1711,f703,f517,f713,f1248]) ).

fof(f2213,plain,
    ( ~ c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f918,f616]) ).

fof(f2241,plain,
    ( spl0_35
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1928,f542,f517,f554]) ).

fof(f2245,plain,
    ( spl0_81
    | spl0_79
    | ~ spl0_51
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1811,f788,f630,f783,f793]) ).

fof(f2252,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(resolution,[],[f501,f644]) ).

fof(f2262,plain,
    ( c1_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(resolution,[],[f501,f806]) ).

fof(f2266,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2252]) ).

fof(f2269,plain,
    ( spl0_50
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2266,f643,f500,f626]) ).

fof(f2297,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(resolution,[],[f577,f595]) ).

fof(f2302,plain,
    ( ~ c1_1(a2194)
    | c0_1(a2194)
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(resolution,[],[f577,f950]) ).

fof(f2307,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f2297]) ).

fof(f2309,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_51 ),
    inference(resolution,[],[f631,f564]) ).

fof(f2322,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f2309]) ).

fof(f2345,plain,
    ( c1_1(a2211)
    | ~ spl0_37
    | ~ spl0_51
    | spl0_98 ),
    inference(resolution,[],[f2322,f886]) ).

fof(f2349,plain,
    ( c1_1(a2262)
    | ~ spl0_37
    | ~ spl0_51
    | spl0_157 ),
    inference(resolution,[],[f2322,f1204]) ).

fof(f2350,plain,
    ( c1_1(a2268)
    | ~ spl0_37
    | ~ spl0_51
    | spl0_76 ),
    inference(resolution,[],[f2322,f769]) ).

fof(f2356,plain,
    ( spl0_78
    | ~ spl0_37
    | ~ spl0_51
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2350,f767,f630,f563,f777]) ).

fof(f2454,plain,
    ( ~ c0_1(a2186)
    | ~ c1_1(a2186)
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(resolution,[],[f667,f1035]) ).

fof(f2455,plain,
    ( ~ c0_1(a2193)
    | ~ c1_1(a2193)
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(resolution,[],[f667,f971]) ).

fof(f2457,plain,
    ( ~ c0_1(a2197)
    | ~ c1_1(a2197)
    | ~ spl0_58
    | ~ spl0_104 ),
    inference(resolution,[],[f667,f918]) ).

fof(f2463,plain,
    ( ~ spl0_113
    | ~ spl0_173
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2455,f969,f666,f1347,f964]) ).

fof(f2518,plain,
    ( ~ c2_1(a2177)
    | ~ c1_1(a2177)
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(resolution,[],[f680,f1147]) ).

fof(f2522,plain,
    ( ~ c2_1(a2182)
    | ~ c1_1(a2182)
    | ~ spl0_60
    | ~ spl0_133 ),
    inference(resolution,[],[f680,f1073]) ).

fof(f2525,plain,
    ( ~ c2_1(a2186)
    | ~ c1_1(a2186)
    | ~ spl0_60
    | ~ spl0_125 ),
    inference(resolution,[],[f680,f1030]) ).

fof(f2532,plain,
    ( ~ c2_1(a2197)
    | ~ c1_1(a2197)
    | ~ spl0_60
    | ~ spl0_158 ),
    inference(resolution,[],[f680,f1212]) ).

fof(f2537,plain,
    ( ~ c2_1(a2219)
    | ~ c1_1(a2219)
    | ~ spl0_60
    | ~ spl0_170 ),
    inference(resolution,[],[f680,f1334]) ).

fof(f2557,plain,
    ( ~ spl0_175
    | ~ spl0_135
    | ~ spl0_60
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2522,f1071,f679,f1081,f1359]) ).

fof(f2558,plain,
    ( ~ spl0_146
    | ~ spl0_165
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2518,f1145,f679,f1268,f1140]) ).

fof(f2566,plain,
    ( ~ spl0_149
    | spl0_150
    | ~ spl0_54
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2091,f1151,f643,f1161,f1156]) ).

fof(f2574,plain,
    ( ~ spl0_99
    | spl0_179
    | ~ spl0_54
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2101,f879,f643,f1449,f889]) ).

fof(f2594,plain,
    ( ~ spl0_121
    | ~ spl0_122
    | ~ spl0_42
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1548,f1017,f584,f1012,f1007]) ).

fof(f2597,plain,
    ( ~ spl0_103
    | ~ spl0_105
    | ~ spl0_42
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1646,f1210,f584,f921,f911]) ).

fof(f2599,plain,
    ( ~ spl0_103
    | ~ spl0_158
    | ~ spl0_58
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2457,f916,f666,f1210,f911]) ).

fof(f2609,plain,
    ( ~ c1_1(a2178)
    | ~ spl0_40
    | ~ spl0_44
    | spl0_75 ),
    inference(resolution,[],[f763,f2307]) ).

fof(f2708,plain,
    ( ~ c0_1(a2177)
    | ~ c1_1(a2177)
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f688,f1137]) ).

fof(f2716,plain,
    ( ~ c0_1(a2195)
    | ~ c1_1(a2195)
    | ~ spl0_61
    | spl0_106 ),
    inference(resolution,[],[f688,f929]) ).

fof(f2717,plain,
    ( ~ c0_1(a2211)
    | ~ c1_1(a2211)
    | ~ spl0_61
    | spl0_97 ),
    inference(resolution,[],[f688,f881]) ).

fof(f2725,plain,
    ( ~ spl0_179
    | ~ spl0_99
    | ~ spl0_61
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2717,f879,f687,f889,f1449]) ).

fof(f2726,plain,
    ( ~ spl0_108
    | ~ spl0_172
    | ~ spl0_61
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2716,f927,f687,f1342,f937]) ).

fof(f2731,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_61
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2708,f1135,f687,f1145,f1140]) ).

fof(f2737,plain,
    ( ~ c0_1(a2182)
    | c1_1(a2182)
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(resolution,[],[f694,f1078]) ).

fof(f2740,plain,
    ( ~ c0_1(a2262)
    | c1_1(a2262)
    | ~ spl0_62
    | ~ spl0_83 ),
    inference(resolution,[],[f694,f806]) ).

fof(f2743,plain,
    ( ~ c0_1(a2196)
    | c1_1(a2196)
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(resolution,[],[f694,f721]) ).

fof(f2745,plain,
    ( spl0_69
    | ~ spl0_168
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2743,f719,f693,f1322,f729]) ).

fof(f2747,plain,
    ( spl0_84
    | ~ spl0_82
    | ~ spl0_62
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2740,f804,f693,f799,f809]) ).

fof(f2749,plain,
    ( spl0_175
    | ~ spl0_133
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2737,f1076,f693,f1071,f1359]) ).

fof(f2756,plain,
    ( ~ spl0_157
    | spl0_84
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2262,f804,f500,f809,f1202]) ).

fof(f2762,plain,
    ( ~ spl0_74
    | spl0_75
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1933,f751,f517,f761,f756]) ).

fof(f2766,plain,
    ( spl0_160
    | spl0_75
    | ~ spl0_27
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1932,f751,f521,f761,f1224]) ).

fof(f2771,plain,
    ( spl0_71
    | ~ spl0_70
    | ~ spl0_35
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1632,f745,f554,f735,f740]) ).

fof(f2783,plain,
    ( ~ spl0_105
    | ~ spl0_158
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2213,f916,f615,f1210,f921]) ).

fof(f2843,plain,
    ( ~ spl0_160
    | ~ spl0_74
    | ~ spl0_42
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1651,f761,f584,f756,f1224]) ).

fof(f2844,plain,
    ( ~ spl0_160
    | ~ spl0_40
    | ~ spl0_44
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2609,f761,f594,f576,f1224]) ).

fof(f2855,plain,
    ( spl0_84
    | ~ spl0_37
    | ~ spl0_51
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2349,f1202,f630,f563,f809]) ).

fof(f2944,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(resolution,[],[f694,f644]) ).

fof(f2954,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2944]) ).

fof(f2958,plain,
    ( c1_1(a2174)
    | ~ spl0_54
    | ~ spl0_62
    | ~ spl0_154 ),
    inference(resolution,[],[f2954,f1185]) ).

fof(f2980,plain,
    ( c1_1(a2268)
    | ~ spl0_54
    | ~ spl0_62
    | ~ spl0_77 ),
    inference(resolution,[],[f2954,f774]) ).

fof(f2985,plain,
    ( spl0_156
    | ~ spl0_54
    | ~ spl0_62
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2958,f1183,f693,f643,f1193]) ).

fof(f3002,plain,
    ( c2_1(a2193)
    | ~ c1_1(a2193)
    | ~ spl0_63
    | ~ spl0_173 ),
    inference(resolution,[],[f698,f1349]) ).

fof(f3004,plain,
    ( c2_1(a2195)
    | ~ c1_1(a2195)
    | ~ spl0_63
    | ~ spl0_172 ),
    inference(resolution,[],[f698,f1344]) ).

fof(f3029,plain,
    ( ~ spl0_108
    | spl0_107
    | ~ spl0_63
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3004,f1342,f697,f932,f937]) ).

fof(f3031,plain,
    ( ~ spl0_113
    | spl0_112
    | ~ spl0_63
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f3002,f1347,f697,f959,f964]) ).

fof(f3038,plain,
    ( ~ spl0_157
    | ~ spl0_82
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1978,f804,f615,f799,f1202]) ).

fof(f3047,plain,
    ( spl0_78
    | ~ spl0_54
    | ~ spl0_62
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2980,f772,f693,f643,f777]) ).

fof(f3063,plain,
    ( ~ spl0_74
    | ~ spl0_26
    | ~ spl0_30
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1910,f761,f534,f517,f756]) ).

fof(f3064,plain,
    ( ~ spl0_70
    | ~ spl0_26
    | ~ spl0_30
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2041,f745,f534,f517,f735]) ).

fof(f3065,plain,
    ( spl0_179
    | ~ spl0_37
    | ~ spl0_51
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2345,f884,f630,f563,f1449]) ).

fof(f3074,plain,
    ( spl0_162
    | ~ spl0_125
    | ~ spl0_55
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2137,f1033,f650,f1028,f1253]) ).

fof(f3077,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2454,f1033,f666,f1028,f1023]) ).

fof(f3083,plain,
    ( ~ spl0_124
    | ~ spl0_162
    | ~ spl0_60
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2525,f1028,f679,f1253,f1023]) ).

fof(f3085,plain,
    ( ~ spl0_103
    | ~ spl0_105
    | ~ spl0_60
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2532,f1210,f679,f921,f911]) ).

fof(f3087,plain,
    ( ~ spl0_89
    | ~ spl0_90
    | ~ spl0_60
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2537,f1332,f679,f841,f836]) ).

fof(f3106,plain,
    ( spl0_111
    | ~ spl0_159
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2302,f948,f576,f1218,f953]) ).

fof(f3109,plain,
    ( spl0_107
    | spl0_172
    | ~ spl0_49
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1998,f927,f620,f1342,f932]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s4,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s5,plain,
    ( ~ spl0_6
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s6,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s7,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s12,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s13,plain,
    ( ~ spl0_21
    | ~ spl0_24
    | ~ spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s15,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_21
    | spl0_28 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s16,plain,
    ( ~ spl0_21
    | spl0_26
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s17,plain,
    ( spl0_13
    | ~ spl0_21
    | ~ spl0_25
    | spl0_30 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_13
    | ~ spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s21,plain,
    ( ~ spl0_21
    | spl0_32
    | spl0_33
    | spl0_36 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s22,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_21
    | spl0_37 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s25,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_21
    | spl0_40 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s27,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_39
    | spl0_42 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s29,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_32
    | spl0_43 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s30,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_21
    | spl0_44 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s32,plain,
    ( ~ spl0_16
    | ~ spl0_21
    | spl0_42
    | spl0_44 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s33,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_45 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s34,plain,
    ( ~ spl0_21
    | ~ spl0_24
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s35,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s36,plain,
    ( ~ spl0_21
    | spl0_26
    | spl0_40
    | spl0_47 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s37,plain,
    ( ~ spl0_21
    | spl0_41
    | spl0_44
    | spl0_47 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s38,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_22
    | spl0_48 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s40,plain,
    ( ~ spl0_21
    | spl0_39
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s43,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_21
    | spl0_50 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s44,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s46,plain,
    ( ~ spl0_21
    | spl0_36
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s47,plain,
    ( ~ spl0_21
    | spl0_42
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | ~ spl0_21
    | ~ spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s49,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_21
    | spl0_54 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s50,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_37
    | spl0_54 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s51,plain,
    ( ~ spl0_21
    | spl0_40
    | spl0_50
    | spl0_54 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s52,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s61,plain,
    ( spl0_14
    | ~ spl0_21
    | spl0_51
    | spl0_58 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s62,plain,
    ( ~ spl0_21
    | spl0_47
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s64,plain,
    ( ~ spl0_21
    | spl0_37
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s67,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s68,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s70,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_26
    | spl0_61 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s71,plain,
    ( ~ spl0_21
    | ~ spl0_24
    | spl0_39
    | spl0_61 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s72,plain,
    ( ~ spl0_21
    | spl0_42
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s73,plain,
    ( ~ spl0_21
    | spl0_53
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s74,plain,
    ( spl0_14
    | ~ spl0_21
    | spl0_39
    | spl0_63 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | spl0_64 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s78,plain,
    ( ~ spl0_46
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s79,plain,
    ( ~ spl0_46
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s81,plain,
    ( spl0_31
    | spl0_67 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s82,plain,
    ( spl0_31
    | spl0_68 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s83,plain,
    ( spl0_31
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s85,plain,
    ( ~ spl0_41
    | spl0_70 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s86,plain,
    ( ~ spl0_41
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s87,plain,
    ( ~ spl0_41
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s89,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s90,plain,
    ( ~ spl0_23
    | spl0_74 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s91,plain,
    ( ~ spl0_23
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s93,plain,
    ( spl0_7
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s94,plain,
    ( spl0_7
    | spl0_77 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s95,plain,
    ( spl0_7
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s97,plain,
    ( ~ spl0_9
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s98,plain,
    ( ~ spl0_9
    | spl0_80 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s99,plain,
    ( ~ spl0_9
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s101,plain,
    ( spl0_6
    | spl0_82 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s102,plain,
    ( spl0_6
    | spl0_83 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s103,plain,
    ( spl0_6
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s109,plain,
    ( ~ spl0_8
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s110,plain,
    ( ~ spl0_8
    | spl0_89 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s111,plain,
    ( ~ spl0_8
    | spl0_90 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s113,plain,
    ( ~ spl0_10
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s114,plain,
    ( ~ spl0_10
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s115,plain,
    ( ~ spl0_10
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s121,plain,
    ( spl0_16
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s122,plain,
    ( spl0_16
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s123,plain,
    ( spl0_16
    | spl0_99 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s125,plain,
    ( ~ spl0_36
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s126,plain,
    ( ~ spl0_36
    | spl0_101 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s127,plain,
    ( ~ spl0_36
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s129,plain,
    ( spl0_3
    | spl0_103 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s130,plain,
    ( spl0_3
    | spl0_104 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s131,plain,
    ( spl0_3
    | spl0_105 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s133,plain,
    ( ~ spl0_1
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s134,plain,
    ( ~ spl0_1
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s135,plain,
    ( ~ spl0_1
    | spl0_108 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s136,plain,
    ( ~ spl0_1
    | spl0_21 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s137,plain,
    ( spl0_15
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s138,plain,
    ( spl0_15
    | spl0_110 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s139,plain,
    ( spl0_15
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s140,plain,
    ( spl0_15
    | spl0_21 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s141,plain,
    ( ~ spl0_11
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s142,plain,
    ( ~ spl0_11
    | spl0_113 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s143,plain,
    ( ~ spl0_11
    | spl0_114 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s145,plain,
    ( ~ spl0_12
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s146,plain,
    ( ~ spl0_12
    | spl0_116 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s147,plain,
    ( ~ spl0_12
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f988]) ).

cnf(s153,plain,
    ( spl0_25
    | spl0_121 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s154,plain,
    ( spl0_25
    | spl0_122 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s155,plain,
    ( spl0_25
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s157,plain,
    ( ~ spl0_13
    | spl0_124 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s158,plain,
    ( ~ spl0_13
    | spl0_125 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s159,plain,
    ( ~ spl0_13
    | spl0_126 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s169,plain,
    ( ~ spl0_29
    | spl0_133 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s170,plain,
    ( ~ spl0_29
    | spl0_134 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s171,plain,
    ( ~ spl0_29
    | spl0_135 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s185,plain,
    ( spl0_2
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s186,plain,
    ( spl0_2
    | spl0_146 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s187,plain,
    ( spl0_2
    | spl0_147 ),
    inference(sat_conversion,[],[f1148]) ).

cnf(s188,plain,
    ( spl0_2
    | spl0_21 ),
    inference(sat_conversion,[],[f1149]) ).

cnf(s189,plain,
    ( ~ spl0_5
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s190,plain,
    ( ~ spl0_5
    | spl0_149 ),
    inference(sat_conversion,[],[f1159]) ).

cnf(s191,plain,
    ( ~ spl0_5
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1164]) ).

cnf(s193,plain,
    ( spl0_24
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s194,plain,
    ( spl0_24
    | spl0_152 ),
    inference(sat_conversion,[],[f1175]) ).

cnf(s195,plain,
    ( spl0_24
    | spl0_153 ),
    inference(sat_conversion,[],[f1180]) ).

cnf(s197,plain,
    ( ~ spl0_14
    | spl0_154 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s198,plain,
    ( ~ spl0_14
    | spl0_155 ),
    inference(sat_conversion,[],[f1191]) ).

cnf(s199,plain,
    ( ~ spl0_14
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1196]) ).

cnf(s203,plain,
    ( ~ spl0_27
    | ~ spl0_110
    | spl0_111
    | spl0_159 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s210,plain,
    ( ~ spl0_28
    | spl0_148
    | spl0_150
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s216,plain,
    ( ~ spl0_32
    | spl0_91
    | spl0_93
    | spl0_171 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s238,plain,
    ( ~ spl0_33
    | spl0_109
    | spl0_111
    | spl0_159 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s264,plain,
    ( ~ spl0_37
    | spl0_148
    | spl0_150
    | spl0_166 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s266,plain,
    ( ~ spl0_39
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s267,plain,
    ( ~ spl0_40
    | ~ spl0_103
    | ~ spl0_104
    | spl0_158 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s268,plain,
    ( ~ spl0_40
    | ~ spl0_113
    | ~ spl0_114
    | spl0_173 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s270,plain,
    ( ~ spl0_26
    | ~ spl0_67
    | ~ spl0_68
    | spl0_168 ),
    inference(sat_conversion,[],[f1498]) ).

cnf(s272,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | spl0_35 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s290,plain,
    ( ~ spl0_33
    | spl0_92
    | spl0_93
    | spl0_171 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s297,plain,
    ( ~ spl0_42
    | ~ spl0_89
    | ~ spl0_90
    | spl0_170 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s300,plain,
    ( ~ spl0_43
    | spl0_88
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1591]) ).

cnf(s302,plain,
    ( ~ spl0_26
    | spl0_42
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1593]) ).

cnf(s324,plain,
    ( ~ spl0_45
    | spl0_107
    | ~ spl0_108
    | spl0_172 ),
    inference(sat_conversion,[],[f1703]) ).

cnf(s331,plain,
    ( ~ spl0_27
    | ~ spl0_64
    | spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s334,plain,
    ( ~ spl0_47
    | spl0_106
    | spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s338,plain,
    ( ~ spl0_47
    | spl0_145
    | ~ spl0_146
    | spl0_165 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s343,plain,
    ( ~ spl0_44
    | spl0_106
    | ~ spl0_108
    | spl0_172 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s349,plain,
    ( ~ spl0_51
    | ~ spl0_64
    | spl0_65
    | spl0_161 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s352,plain,
    ( ~ spl0_51
    | spl0_109
    | ~ spl0_110
    | spl0_159 ),
    inference(sat_conversion,[],[f1816]) ).

cnf(s360,plain,
    ( ~ spl0_45
    | spl0_100
    | ~ spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s362,plain,
    ( ~ spl0_50
    | ~ spl0_154
    | ~ spl0_155
    | spl0_156 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s364,plain,
    ( ~ spl0_50
    | ~ spl0_68
    | spl0_69
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s388,plain,
    ( ~ spl0_45
    | spl0_92
    | spl0_93
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s408,plain,
    ( ~ spl0_52
    | spl0_109
    | ~ spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s411,plain,
    ( ~ spl0_53
    | spl0_88
    | ~ spl0_90
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2086]) ).

cnf(s412,plain,
    ( ~ spl0_53
    | spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s420,plain,
    ( ~ spl0_45
    | spl0_109
    | spl0_111
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s428,plain,
    ( ~ spl0_42
    | ~ spl0_116
    | spl0_117
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s429,plain,
    ( ~ spl0_45
    | ~ spl0_116
    | spl0_117
    | spl0_167 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s437,plain,
    ( ~ spl0_33
    | spl0_65
    | spl0_66
    | spl0_161 ),
    inference(sat_conversion,[],[f2164]) ).

cnf(s447,plain,
    ( ~ spl0_44
    | spl0_115
    | ~ spl0_116
    | spl0_117 ),
    inference(sat_conversion,[],[f2174]) ).

cnf(s448,plain,
    ( ~ spl0_26
    | ~ spl0_64
    | spl0_66
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s459,plain,
    ( ~ spl0_26
    | ~ spl0_32
    | spl0_35 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s463,plain,
    ( ~ spl0_51
    | spl0_79
    | ~ spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f2245]) ).

cnf(s470,plain,
    ( ~ spl0_22
    | spl0_50
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s476,plain,
    ( ~ spl0_37
    | ~ spl0_51
    | spl0_76
    | spl0_78 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s494,plain,
    ( ~ spl0_58
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2463]) ).

cnf(s517,plain,
    ( ~ spl0_60
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s518,plain,
    ( ~ spl0_60
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2558]) ).

cnf(s526,plain,
    ( ~ spl0_54
    | spl0_148
    | ~ spl0_149
    | spl0_150 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s534,plain,
    ( ~ spl0_54
    | spl0_97
    | ~ spl0_99
    | spl0_179 ),
    inference(sat_conversion,[],[f2574]) ).

cnf(s545,plain,
    ( ~ spl0_42
    | ~ spl0_121
    | ~ spl0_122
    | spl0_123 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s548,plain,
    ( ~ spl0_42
    | ~ spl0_103
    | ~ spl0_105
    | spl0_158 ),
    inference(sat_conversion,[],[f2597]) ).

cnf(s550,plain,
    ( ~ spl0_58
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2599]) ).

cnf(s558,plain,
    ( ~ spl0_61
    | spl0_97
    | ~ spl0_99
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2725]) ).

cnf(s559,plain,
    ( ~ spl0_61
    | spl0_106
    | ~ spl0_108
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s564,plain,
    ( ~ spl0_61
    | spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2731]) ).

cnf(s565,plain,
    ( ~ spl0_62
    | ~ spl0_67
    | spl0_69
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s567,plain,
    ( ~ spl0_62
    | ~ spl0_82
    | ~ spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f2747]) ).

cnf(s569,plain,
    ( ~ spl0_62
    | ~ spl0_133
    | ~ spl0_134
    | spl0_175 ),
    inference(sat_conversion,[],[f2749]) ).

cnf(s576,plain,
    ( ~ spl0_22
    | ~ spl0_83
    | spl0_84
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2756]) ).

cnf(s582,plain,
    ( ~ spl0_26
    | ~ spl0_73
    | ~ spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f2762]) ).

cnf(s586,plain,
    ( ~ spl0_27
    | ~ spl0_73
    | spl0_75
    | spl0_160 ),
    inference(sat_conversion,[],[f2766]) ).

cnf(s591,plain,
    ( ~ spl0_35
    | ~ spl0_70
    | spl0_71
    | spl0_72 ),
    inference(sat_conversion,[],[f2771]) ).

cnf(s603,plain,
    ( ~ spl0_48
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2783]) ).

cnf(s622,plain,
    ( ~ spl0_42
    | ~ spl0_74
    | spl0_75
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2843]) ).

cnf(s623,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | spl0_75
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2844]) ).

cnf(s634,plain,
    ( ~ spl0_37
    | ~ spl0_51
    | spl0_84
    | spl0_157 ),
    inference(sat_conversion,[],[f2855]) ).

cnf(s646,plain,
    ( ~ spl0_54
    | ~ spl0_62
    | ~ spl0_154
    | spl0_156 ),
    inference(sat_conversion,[],[f2985]) ).

cnf(s656,plain,
    ( ~ spl0_63
    | spl0_107
    | ~ spl0_108
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3029]) ).

cnf(s658,plain,
    ( ~ spl0_63
    | spl0_112
    | ~ spl0_113
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f3031]) ).

cnf(s665,plain,
    ( ~ spl0_48
    | ~ spl0_82
    | ~ spl0_83
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3038]) ).

cnf(s674,plain,
    ( ~ spl0_54
    | ~ spl0_62
    | ~ spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f3047]) ).

cnf(s690,plain,
    ( ~ spl0_26
    | ~ spl0_30
    | ~ spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f3063]) ).

cnf(s691,plain,
    ( ~ spl0_26
    | ~ spl0_30
    | ~ spl0_70
    | spl0_72 ),
    inference(sat_conversion,[],[f3064]) ).

cnf(s692,plain,
    ( ~ spl0_37
    | ~ spl0_51
    | spl0_98
    | spl0_179 ),
    inference(sat_conversion,[],[f3065]) ).

cnf(s701,plain,
    ( ~ spl0_55
    | ~ spl0_125
    | ~ spl0_126
    | spl0_162 ),
    inference(sat_conversion,[],[f3074]) ).

cnf(s704,plain,
    ( ~ spl0_58
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3077]) ).

cnf(s710,plain,
    ( ~ spl0_60
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3083]) ).

cnf(s712,plain,
    ( ~ spl0_60
    | ~ spl0_103
    | ~ spl0_105
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3085]) ).

cnf(s714,plain,
    ( ~ spl0_60
    | ~ spl0_89
    | ~ spl0_90
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3087]) ).

cnf(s733,plain,
    ( ~ spl0_40
    | ~ spl0_110
    | spl0_111
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3106]) ).

cnf(s736,plain,
    ( ~ spl0_49
    | spl0_106
    | spl0_107
    | spl0_172 ),
    inference(sat_conversion,[],[f3109]) ).

cnf(s742,plain,
    ( spl0_6
    | ~ spl0_62 ),
    inference(rat,[],[s567,s101,s102,s103]) ).

cnf(s743,plain,
    ( spl0_15
    | spl0_53
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_45
    | ~ spl0_21 ),
    inference(rat,[],[s362,s197,s198,s199,s61,s68,s550,s712,s548,s47,s203,s352,s408,s420,s137,s138,s139]) ).

cnf(s745,plain,
    ( ~ spl0_10
    | ~ spl0_33
    | ~ spl0_45 ),
    inference(rat,[],[s290,s388,s114,s115]) ).

cnf(s748,plain,
    ( ~ spl0_12
    | ~ spl0_42
    | ~ spl0_45 ),
    inference(rat,[],[s428,s429,s146,s147]) ).

cnf(s749,plain,
    ( spl0_12
    | ~ spl0_63
    | ~ spl0_6
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s658,s268,s141,s142,s143,s5,s25]) ).

cnf(s750,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_6
    | spl0_39
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s447,s145,s146,s147,s749,s74,s30]) ).

cnf(s751,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s646,s197,s199,s750,s49,s743,s742,s73,s412,s193,s194,s195,s71,s266,s129,s130,s131,s33,s188,s564,s185,s186,s187]) ).

cnf(s753,plain,
    ( spl0_24
    | ~ spl0_53 ),
    inference(rat,[],[s412,s193,s194,s195]) ).

cnf(s754,plain,
    ( spl0_15
    | ~ spl0_51
    | ~ spl0_45 ),
    inference(rat,[],[s352,s420,s137,s138,s139]) ).

cnf(s755,plain,
    ( ~ spl0_12
    | ~ spl0_44 ),
    inference(rat,[],[s447,s145,s146,s147]) ).

cnf(s756,plain,
    ( spl0_7
    | ~ spl0_37
    | ~ spl0_51 ),
    inference(rat,[],[s476,s93,s95]) ).

cnf(s757,plain,
    ( ~ spl0_51
    | spl0_14
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s526,s189,s190,s191,s38,s665,s576,s634,s101,s102,s103,s3,s756,s22,s755,s30,s49,s754,s33,s188,s751]) ).

cnf(s759,plain,
    ( ~ spl0_13
    | ~ spl0_58 ),
    inference(rat,[],[s704,s157,s158,s159]) ).

cnf(s760,plain,
    ( spl0_14
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s238,s420,s137,s139,s30,s755,s6,s19,s759,s61,s757,s33,s188,s751]) ).

cnf(s761,plain,
    ( ~ spl0_54
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s526,s189,s190,s191,s70,s582,s89,s90,s91,s12,s470,s188,s564,s185,s186,s187,s362,s197,s198,s199,s760]) ).

cnf(s762,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s62,s338,s759,s518,s19,s68,s238,s203,s420,s137,s138,s139,s49,s761,s362,s197,s198,s199,s760,s751,s33,s185,s186,s187,s188]) ).

cnf(s763,plain,
    ( ~ spl0_58
    | spl0_1 ),
    inference(rat,[],[s548,s27,s550,s759,s140,s7,s266,s130,s131,s129,s1,s762]) ).

cnf(s764,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(rat,[],[s701,s710,s52,s157,s158,s159,s470,s27,s51,s548,s267,s712,s68,s362,s197,s198,s199,s61,s763,s203,s754,s266,s408,s420,s33,s129,s130,s131,s137,s138,s139,s140,s1,s7]) ).

cnf(s765,plain,
    spl0_1,
    inference(rat,[],[s764,s762]) ).

cnf(s766,plain,
    spl0_21,
    inference(rat,[],[s136,s765]) ).

cnf(s767,plain,
    spl0_108,
    inference(rat,[],[s135,s765]) ).

cnf(s768,plain,
    ~ spl0_107,
    inference(rat,[],[s134,s765]) ).

cnf(s769,plain,
    ~ spl0_106,
    inference(rat,[],[s133,s765]) ).

cnf(s770,plain,
    ~ spl0_47,
    inference(rat,[],[s334,s767,s768,s769]) ).

cnf(s771,plain,
    ( ~ spl0_62
    | ~ spl0_54
    | ~ spl0_3 ),
    inference(rat,[],[s674,s94,s95,s3,s742]) ).

cnf(s777,plain,
    ( ~ spl0_5
    | ~ spl0_54 ),
    inference(rat,[],[s526,s189,s190,s191]) ).

cnf(s778,plain,
    ( ~ spl0_8
    | ~ spl0_53
    | ~ spl0_42 ),
    inference(rat,[],[s411,s297,s109,s110,s111]) ).

cnf(s780,plain,
    ( ~ spl0_9
    | ~ spl0_51 ),
    inference(rat,[],[s463,s97,s98,s99]) ).

cnf(s781,plain,
    ( ~ spl0_36
    | ~ spl0_45 ),
    inference(rat,[],[s360,s125,s126,s127]) ).

cnf(s782,plain,
    ( ~ spl0_10
    | ~ spl0_45 ),
    inference(rat,[],[s216,s21,s388,s745,s113,s114,s115,s781,s766]) ).

cnf(s783,plain,
    ( spl0_3
    | ~ spl0_39 ),
    inference(rat,[],[s266,s129,s130,s131]) ).

cnf(s784,plain,
    ( spl0_14
    | ~ spl0_45
    | spl0_61 ),
    inference(rat,[],[s756,s64,s3,s771,s783,s742,s73,s778,s4,s780,s61,s759,s6,s74,s748,s72,s656,s324,s782,s766,s768,s767,s770]) ).

cnf(s785,plain,
    ( ~ spl0_8
    | ~ spl0_45
    | spl0_61 ),
    inference(rat,[],[s586,s623,s89,s91,s51,s67,s68,s646,s714,s73,s297,s778,s110,s111,s72,s46,s362,s198,s197,s199,s784,s781,s766,s770]) ).

cnf(s786,plain,
    ( spl0_25
    | ~ spl0_42 ),
    inference(rat,[],[s545,s153,s154,s155]) ).

cnf(s787,plain,
    ( ~ spl0_45
    | spl0_61 ),
    inference(rat,[],[s268,s494,s142,s143,s5,s742,s73,s753,s13,s36,s582,s89,s90,s91,s44,s780,s4,s785,s62,s362,s197,s198,s199,s784,s782,s748,s786,s72,s766,s770]) ).

cnf(s788,plain,
    ( ~ spl0_24
    | ~ spl0_51
    | spl0_61 ),
    inference(rat,[],[s349,s448,s77,s78,s79,s34,s13,s786,s72,s787,s766,s770]) ).

cnf(s789,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_42 ),
    inference(rat,[],[s736,s40,s656,s603,s74,s548,s783,s129,s130,s131,s768,s769,s766,s767]) ).

cnf(s790,plain,
    ( ~ spl0_51
    | ~ spl0_3
    | spl0_61 ),
    inference(rat,[],[s268,s36,s494,s270,s142,s143,s565,s50,s64,s81,s82,s83,s756,s48,s3,s771,s742,s73,s753,s788,s766,s770]) ).

cnf(s791,plain,
    ( spl0_14
    | spl0_61 ),
    inference(rat,[],[s733,s36,s238,s691,s137,s138,s139,s85,s87,s30,s37,s755,s19,s17,s6,s759,s61,s790,s789,s786,s72,s766,s770]) ).

cnf(s792,plain,
    ( spl0_3
    | spl0_61 ),
    inference(rat,[],[s550,s548,s129,s130,s131,s72,s62,s362,s198,s197,s199,s791,s770,s766]) ).

cnf(s794,plain,
    ( ~ spl0_11
    | spl0_61 ),
    inference(rat,[],[s268,s494,s142,s143,s36,s690,s90,s17,s759,s62,s786,s72,s91,s44,s790,s792,s362,s198,s197,s199,s791,s770,s766]) ).

cnf(s795,plain,
    spl0_61,
    inference(rat,[],[s517,s569,s169,s170,s171,s16,s210,s264,s50,s794,s73,s753,s777,s189,s191,s68,s13,s70,s586,s690,s622,s89,s90,s91,s44,s790,s792,s17,s759,s62,s362,s197,s198,s199,s791,s786,s72,s766,s770]) ).

cnf(s796,plain,
    ~ spl0_172,
    inference(rat,[],[s559,s769,s767,s795]) ).

cnf(s797,plain,
    ~ spl0_45,
    inference(rat,[],[s324,s768,s767,s796]) ).

cnf(s799,plain,
    ~ spl0_44,
    inference(rat,[],[s343,s769,s767,s796]) ).

cnf(s800,plain,
    spl0_41,
    inference(rat,[],[s37,s770,s766,s799]) ).

cnf(s801,plain,
    ~ spl0_72,
    inference(rat,[],[s87,s800]) ).

cnf(s802,plain,
    ~ spl0_71,
    inference(rat,[],[s86,s800]) ).

cnf(s803,plain,
    spl0_70,
    inference(rat,[],[s85,s800]) ).

cnf(s804,plain,
    ~ spl0_35,
    inference(rat,[],[s591,s801,s802,s803]) ).

cnf(s805,plain,
    ( spl0_14
    | ~ spl0_42
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(rat,[],[s270,s364,s81,s82,s83,s48,s777,s35,s300,s109,s110,s111,s15,s272,s36,s733,s352,s137,s138,s139,s30,s789,s766,s797,s804,s770,s799]) ).

cnf(s806,plain,
    ( ~ spl0_14
    | ~ spl0_50 ),
    inference(rat,[],[s362,s197,s198,s199]) ).

cnf(s807,plain,
    ( spl0_58
    | ~ spl0_51 ),
    inference(rat,[],[s64,s534,s692,s558,s121,s122,s123,s32,s805,s806,s62,s766,s795,s799,s770]) ).

cnf(s808,plain,
    ( spl0_15
    | ~ spl0_40
    | ~ spl0_51 ),
    inference(rat,[],[s733,s352,s137,s138,s139]) ).

cnf(s809,plain,
    spl0_2,
    inference(rat,[],[s564,s185,s186,s187,s795]) ).

cnf(s810,plain,
    ( spl0_14
    | ~ spl0_51 ),
    inference(rat,[],[s331,s77,s78,s79,s34,s753,s29,s47,s300,s786,s109,s110,s111,s17,s15,s691,s459,s272,s36,s408,s808,s137,s138,s139,s30,s759,s807,s797,s766,s803,s801,s804,s770,s799]) ).

cnf(s811,plain,
    ~ spl0_51,
    inference(rat,[],[s302,s786,s35,s17,s777,s691,s51,s36,s808,s43,s806,s810,s759,s807,s766,s797,s803,s801,s770,s809]) ).

cnf(s812,plain,
    ( ~ spl0_42
    | spl0_14 ),
    inference(rat,[],[s733,s36,s238,s691,s19,s17,s789,s786,s139,s138,s137,s30,s759,s61,s766,s770,s803,s801,s811,s799]) ).

cnf(s813,plain,
    spl0_14,
    inference(rat,[],[s448,s36,s437,s733,s77,s78,s79,s238,s34,s19,s753,s783,s47,s27,s812,s408,s759,s137,s138,s139,s61,s30,s766,s770,s797,s811,s799]) ).

cnf(s817,plain,
    ~ spl0_50,
    inference(rat,[],[s806,s813]) ).

cnf(s818,plain,
    ~ spl0_15,
    inference(rat,[],[s43,s809,s766,s817]) ).

cnf(s819,plain,
    spl0_58,
    inference(rat,[],[s62,s770,s766,s817]) ).

cnf(s821,plain,
    spl0_23,
    inference(rat,[],[s44,s811,s766,s817]) ).

cnf(s822,plain,
    ~ spl0_111,
    inference(rat,[],[s139,s818]) ).

cnf(s823,plain,
    spl0_110,
    inference(rat,[],[s138,s818]) ).

cnf(s824,plain,
    ~ spl0_109,
    inference(rat,[],[s137,s818]) ).

cnf(s825,plain,
    ~ spl0_13,
    inference(rat,[],[s759,s819]) ).

cnf(s829,plain,
    ~ spl0_75,
    inference(rat,[],[s91,s821]) ).

cnf(s830,plain,
    spl0_74,
    inference(rat,[],[s90,s821]) ).

cnf(s831,plain,
    spl0_73,
    inference(rat,[],[s89,s821]) ).

cnf(s833,plain,
    ~ spl0_26,
    inference(rat,[],[s582,s829,s830,s831]) ).

cnf(s834,plain,
    spl0_40,
    inference(rat,[],[s36,s770,s766,s833]) ).

cnf(s835,plain,
    ~ spl0_159,
    inference(rat,[],[s733,s823,s822,s834]) ).

cnf(s836,plain,
    ~ spl0_33,
    inference(rat,[],[s238,s824,s822,s835]) ).

cnf(s837,plain,
    ~ spl0_27,
    inference(rat,[],[s203,s823,s822,s835]) ).

cnf(s838,plain,
    ~ spl0_3,
    inference(rat,[],[s19,s825,s766,s836]) ).

cnf(s840,plain,
    spl0_60,
    inference(rat,[],[s68,s817,s766,s837]) ).

cnf(s841,plain,
    spl0_105,
    inference(rat,[],[s131,s838]) ).

cnf(s842,plain,
    spl0_104,
    inference(rat,[],[s130,s838]) ).

cnf(s843,plain,
    spl0_103,
    inference(rat,[],[s129,s838]) ).

cnf(s848,plain,
    ~ spl0_158,
    inference(rat,[],[s712,s843,s840,s841]) ).

cnf(s849,plain,
    $false,
    inference(rat,[],[s267,s834,s843,s842,s848]) ).

fof(f3115,plain,
    $false,
    inference(avatar_sat_refutation,[],[s849]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN486+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18  % Computer : n013.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 16:15:07 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21  Running first-order model finding
% 0.06/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.28  % (1305217)Will run a generic schedule for satisfiability detection.
% 0.18/0.28  % (1305228)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1841958453:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28  % (1305223)% WARNING: option uhcvi not known.
% 0.18/0.28  % (1305226)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1304351724:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28  % (1305222)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1778036122_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28  % (1305225)dis+10_1_sil=32000:sp=arity:random_seed=3834116103:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28  % (1305227)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1262888764:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28  % (1305224)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3714685260:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28  % (1305223)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3229585038:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28  % Detected minimum model sizes of [1]
% 0.18/0.28  % Detected maximum model sizes of [31]
% 0.18/0.28  % TRYING [1]
% 0.18/0.28  % TRYING [2]
% 0.18/0.28  % (1305228) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1305217-1305228"...
% 0.18/0.28  % TRYING [3]
% 0.18/0.28  % (1305228)...printing done.
% 0.18/0.28  % (1305228)Refutation found. Thanks to Tanya!
% 0.18/0.28  % SZS status Theorem for theBenchmark
% 0.18/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29  % (1305228)------------------------------
% 0.18/0.29  % (1305228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29  % (1305228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29  % (1305228)CaDiCaL version: 2.1.3
% 0.18/0.29  % (1305228)Termination reason: Refutation
% 0.18/0.29  % (1305228)Time elapsed: 0.025 s
% 0.18/0.29  % (1305228)Peak memory usage: 14 MB
% 0.18/0.29  % (1305228)Instructions burned: 75 (million)
% 0.18/0.29  % (1305217)Success in time 0.059 s
% 0.18/0.29  % Vampire exiting
%------------------------------------------------------------------------------