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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN488+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:57:32 PM UTC 2026

% Result   : Theorem 3.59s 1.14s
% Output   : Refutation 3.97s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a2402)
          & c3_1(a2402)
          & ~ c1_1(a2402) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a2403)
          & ~ c2_1(a2403)
          & ~ c3_1(a2403) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a2404)
          & ~ c2_1(a2404)
          & ~ c3_1(a2404) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a2405)
          & c2_1(a2405)
          & ~ c3_1(a2405) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a2407)
          & ~ c1_1(a2407)
          & ~ c2_1(a2407) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a2408)
          & c3_1(a2408)
          & ~ c2_1(a2408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2410)
          & c1_1(a2410)
          & ~ c2_1(a2410) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2411)
          & ~ c1_1(a2411)
          & ~ c3_1(a2411) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a2412)
          & ~ c0_1(a2412)
          & ~ c2_1(a2412) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2413)
          & ~ c0_1(a2413)
          & ~ c1_1(a2413) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a2414)
          & ~ c1_1(a2414)
          & ~ c3_1(a2414) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a2416)
          & ~ c1_1(a2416)
          & ~ c2_1(a2416) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a2417)
          & ~ c0_1(a2417)
          & ~ c1_1(a2417) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a2418)
          & c2_1(a2418)
          & ~ c0_1(a2418) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a2420)
          & c2_1(a2420)
          & ~ c3_1(a2420) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a2422)
          & c3_1(a2422)
          & ~ c2_1(a2422) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a2425)
          & ~ c2_1(a2425)
          & ~ c3_1(a2425) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2427)
          & c3_1(a2427)
          & ~ c1_1(a2427) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a2428)
          & ~ c2_1(a2428)
          & ~ c3_1(a2428) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a2432)
          & c3_1(a2432)
          & ~ c0_1(a2432) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a2435)
          & ~ c0_1(a2435)
          & ~ c2_1(a2435) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2437)
          & c2_1(a2437)
          & ~ c1_1(a2437) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a2453)
          & ~ c1_1(a2453)
          & ~ c2_1(a2453) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a2455)
          & c3_1(a2455)
          & ~ c0_1(a2455) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2468)
          & ~ c0_1(a2468)
          & ~ c3_1(a2468) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a2478)
          & ~ c0_1(a2478)
          & ~ c3_1(a2478) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2484)
          & c1_1(a2484)
          & ~ c3_1(a2484) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a2500)
          & ~ c1_1(a2500)
          & ~ c3_1(a2500) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a2406)
          & c2_1(a2406)
          & c3_1(a2406) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a2409)
          & c2_1(a2409)
          & c3_1(a2409) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2450)
          & c1_1(a2450)
          & c3_1(a2450) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a2498)
          & c1_1(a2498)
          & c2_1(a2498) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | ~ c0_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | ~ c2_1(X6)
              | ~ c3_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp2 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | hskp3
        | hskp28 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp4 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp5 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c0_1(X21)
              | ~ c3_1(X21) ) )
        | hskp29 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | hskp6
        | hskp7 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | hskp8
        | hskp9 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c2_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) )
        | hskp10 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | hskp6
        | hskp11 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | hskp12 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp13
        | hskp1 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | hskp14
        | hskp1 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c0_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | hskp15 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | hskp29
        | hskp0 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) )
        | hskp16
        | hskp13 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | hskp17
        | hskp18 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | ~ c0_1(X45)
              | ~ c2_1(X45) ) )
        | hskp2 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | ~ c1_1(X47)
              | ~ c3_1(X47) ) )
        | hskp12 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | hskp4 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | hskp19 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c2_1(X52) ) )
        | hskp12
        | hskp11 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp20 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | ~ c2_1(X56) ) )
        | hskp7 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | hskp21
        | hskp17 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | hskp1
        | hskp9 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | hskp7
        | hskp20 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | hskp2 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp6
        | hskp21 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp28
        | hskp9 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp15 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp10 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | hskp30
        | hskp21 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | hskp5
        | hskp22 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp1 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | hskp23 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp10
        | hskp16 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | hskp3 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c1_1(X80) ) )
        | hskp2 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | hskp14 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c2_1(X83) ) )
        | hskp0
        | hskp9 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | hskp16
        | hskp12 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp21
        | hskp11 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp15
        | hskp24 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) )
        | hskp5
        | hskp19 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp30
        | hskp2 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp6
        | hskp1 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp5
        | hskp1 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp19
        | hskp25 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp25
        | hskp7 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp30 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp10 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | hskp6
        | hskp26 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c2_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp20 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp6
        | hskp23 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | hskp3
        | hskp24 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | hskp14
        | hskp23 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c2_1(X109)
              | ~ c3_1(X109) ) )
        | hskp20
        | hskp18 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c2_1(X110)
              | ~ c3_1(X110) ) )
        | hskp21
        | hskp0 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c2_1(X111)
              | ~ c3_1(X111) ) )
        | hskp15
        | hskp11 )
      & ( hskp31
        | hskp25
        | hskp27 )
      & ( hskp30
        | hskp26
        | hskp19 )
      & ( hskp26
        | hskp8
        | hskp11 )
      & ( hskp3
        | hskp5
        | hskp18 )
      & ( hskp5
        | hskp19
        | hskp25 )
      & ( hskp8
        | hskp9
        | hskp7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a2402)
            & c3_1(a2402)
            & ~ c1_1(a2402) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a2403)
            & ~ c2_1(a2403)
            & ~ c3_1(a2403) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a2404)
            & ~ c2_1(a2404)
            & ~ c3_1(a2404) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a2405)
            & c2_1(a2405)
            & ~ c3_1(a2405) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a2407)
            & ~ c1_1(a2407)
            & ~ c2_1(a2407) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a2408)
            & c3_1(a2408)
            & ~ c2_1(a2408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2410)
            & c1_1(a2410)
            & ~ c2_1(a2410) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2411)
            & ~ c1_1(a2411)
            & ~ c3_1(a2411) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a2412)
            & ~ c0_1(a2412)
            & ~ c2_1(a2412) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2413)
            & ~ c0_1(a2413)
            & ~ c1_1(a2413) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a2414)
            & ~ c1_1(a2414)
            & ~ c3_1(a2414) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a2416)
            & ~ c1_1(a2416)
            & ~ c2_1(a2416) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a2417)
            & ~ c0_1(a2417)
            & ~ c1_1(a2417) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a2418)
            & c2_1(a2418)
            & ~ c0_1(a2418) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a2420)
            & c2_1(a2420)
            & ~ c3_1(a2420) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a2422)
            & c3_1(a2422)
            & ~ c2_1(a2422) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a2425)
            & ~ c2_1(a2425)
            & ~ c3_1(a2425) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2427)
            & c3_1(a2427)
            & ~ c1_1(a2427) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a2428)
            & ~ c2_1(a2428)
            & ~ c3_1(a2428) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a2432)
            & c3_1(a2432)
            & ~ c0_1(a2432) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a2435)
            & ~ c0_1(a2435)
            & ~ c2_1(a2435) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2437)
            & c2_1(a2437)
            & ~ c1_1(a2437) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a2453)
            & ~ c1_1(a2453)
            & ~ c2_1(a2453) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a2455)
            & c3_1(a2455)
            & ~ c0_1(a2455) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2468)
            & ~ c0_1(a2468)
            & ~ c3_1(a2468) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a2478)
            & ~ c0_1(a2478)
            & ~ c3_1(a2478) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2484)
            & c1_1(a2484)
            & ~ c3_1(a2484) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a2500)
            & ~ c1_1(a2500)
            & ~ c3_1(a2500) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a2406)
            & c2_1(a2406)
            & c3_1(a2406) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a2409)
            & c2_1(a2409)
            & c3_1(a2409) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2450)
            & c1_1(a2450)
            & c3_1(a2450) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a2498)
            & c1_1(a2498)
            & c2_1(a2498) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c0_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp2 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | hskp3
          | hskp28 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp5 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c0_1(X21)
                | ~ c3_1(X21) ) )
          | hskp29 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp6
          | hskp7 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp8
          | hskp9 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c2_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) )
          | hskp10 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | hskp6
          | hskp11 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp12 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp13
          | hskp1 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | hskp14
          | hskp1 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c0_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | hskp15 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp29
          | hskp0 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | hskp16
          | hskp13 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | hskp17
          | hskp18 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c0_1(X45)
                | ~ c2_1(X45) ) )
          | hskp2 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c1_1(X47)
                | ~ c3_1(X47) ) )
          | hskp12 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | hskp4 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | hskp19 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp12
          | hskp11 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp20 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | ~ c2_1(X56) ) )
          | hskp7 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp21
          | hskp17 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | hskp1
          | hskp9 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp7
          | hskp20 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp2 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp6
          | hskp21 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp28
          | hskp9 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp15 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp10 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | hskp30
          | hskp21 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp5
          | hskp22 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | hskp23 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp10
          | hskp16 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | hskp3 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) )
          | hskp2 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | hskp14 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | hskp0
          | hskp9 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | hskp16
          | hskp12 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp21
          | hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp15
          | hskp24 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp5
          | hskp19 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp30
          | hskp2 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp6
          | hskp1 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp5
          | hskp1 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp19
          | hskp25 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp25
          | hskp7 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp30 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp10 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp6
          | hskp26 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp20 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp6
          | hskp23 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | hskp3
          | hskp24 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp14
          | hskp23 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) )
          | hskp20
          | hskp18 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp21
          | hskp0 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | ~ c3_1(X111) ) )
          | hskp15
          | hskp11 )
        & ( hskp31
          | hskp25
          | hskp27 )
        & ( hskp30
          | hskp26
          | hskp19 )
        & ( hskp26
          | hskp8
          | hskp11 )
        & ( hskp3
          | hskp5
          | hskp18 )
        & ( hskp5
          | hskp19
          | hskp25 )
        & ( hskp8
          | hskp9
          | hskp7 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c0_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | c3_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp2 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | hskp3
      | hskp28 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | ~ c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp4 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | hskp5 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c0_1(X21)
            | ~ c3_1(X21) ) )
      | hskp29 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c2_1(X22) ) )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | hskp8
      | hskp9 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | ~ c2_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) )
      | hskp10 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) )
      | hskp12 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c1_1(X32)
            | ~ c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | hskp13
      | hskp1 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) )
      | hskp14
      | hskp1 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c2_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c0_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c1_1(X40)
            | ~ c2_1(X40) ) )
      | hskp15 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c1_1(X41) ) )
      | hskp29
      | hskp0 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c1_1(X42) ) )
      | hskp16
      | hskp13 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | hskp17
      | hskp18 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | ~ c0_1(X45)
            | ~ c2_1(X45) ) )
      | hskp2 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c1_1(X47)
            | ~ c3_1(X47) ) )
      | hskp12 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | hskp4 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c0_1(X51) ) )
      | hskp19 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c2_1(X52) ) )
      | hskp12
      | hskp11 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | hskp20 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | ~ c0_1(X56)
            | ~ c2_1(X56) ) )
      | hskp7 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | hskp21
      | hskp17 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | hskp1
      | hskp9 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | hskp7
      | hskp20 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | hskp2 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp6
      | hskp21 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp28
      | hskp9 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp15 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp10 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) )
      | hskp30
      | hskp21 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | hskp5
      | hskp22 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp1 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c1_1(X72) ) )
      | hskp23 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c3_1(X73) ) )
      | hskp10
      | hskp16 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | hskp3 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c1_1(X80) ) )
      | hskp2 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | hskp14 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c2_1(X83) ) )
      | hskp0
      | hskp9 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c3_1(X84)
            | ~ c2_1(X84) ) )
      | hskp16
      | hskp12 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp21
      | hskp11 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp15
      | hskp24 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c0_1(X93) ) )
      | hskp5
      | hskp19 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c3_1(X94)
            | ~ c1_1(X94) ) )
      | hskp30
      | hskp2 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | hskp6
      | hskp1 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp5
      | hskp1 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | hskp19
      | hskp25 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp25
      | hskp7 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c1_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp30 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp10 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c0_1(X103)
            | ~ c1_1(X103) ) )
      | hskp6
      | hskp26 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c2_1(X105) ) )
      | hskp20 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c1_1(X106)
            | ~ c2_1(X106) ) )
      | hskp6
      | hskp23 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | ~ c1_1(X107)
            | ~ c2_1(X107) ) )
      | hskp3
      | hskp24 )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c1_1(X108)
            | ~ c3_1(X108) ) )
      | hskp14
      | hskp23 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c2_1(X109)
            | ~ c3_1(X109) ) )
      | hskp20
      | hskp18 )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | ~ c2_1(X110)
            | ~ c3_1(X110) ) )
      | hskp21
      | hskp0 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | ~ c2_1(X111)
            | ~ c3_1(X111) ) )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp3
      | hskp28 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp21 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp28
      | hskp9 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp30
      | hskp21 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp10
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp9 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp16
      | hskp12 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp5
      | hskp19 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp30
      | hskp2 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp6
      | hskp1 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp19
      | hskp25 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp25
      | hskp7 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp6
      | hskp23 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | hskp3
      | hskp24 )
    & ( ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp21
      | hskp0 )
    & ( ! [X111] :
          ( ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp3
      | hskp28 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp21 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp28
      | hskp9 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp30
      | hskp21 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp10
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp9 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp16
      | hskp12 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp5
      | hskp19 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp30
      | hskp2 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp6
      | hskp1 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp19
      | hskp25 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp25
      | hskp7 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp6
      | hskp23 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | hskp3
      | hskp24 )
    & ( ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp21
      | hskp0 )
    & ( ! [X111] :
          ( ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp8
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp26
    | hskp8
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp30
    | hskp26
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X110] :
      ( ~ c1_1(X110)
      | ~ c2_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp21
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X109] :
      ( ~ c0_1(X109)
      | ~ c2_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0
      | hskp20
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X108] :
      ( ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp14
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X106] :
      ( c3_1(X106)
      | ~ c1_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0
      | hskp6
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c2_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X101,X102] :
      ( c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X97] :
      ( c2_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | hskp19
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X96] :
      ( c2_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | hskp5
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X93] :
      ( c2_1(X93)
      | c3_1(X93)
      | ~ c0_1(X93)
      | ~ ndr1_0
      | hskp5
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X91] :
      ( c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X84] :
      ( c1_1(X84)
      | c3_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | hskp16
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X83] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | hskp0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X82,X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ c2_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X68] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | hskp5
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | hskp30
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X63] :
      ( c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp28
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp6
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X59] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X58] :
      ( c0_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | hskp1
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp21
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X52] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X41] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | hskp29
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | c2_1(X38)
      | ~ c0_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | hskp14
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X31,X32,X33] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X22] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | ~ c0_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | ~ c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X10,X11,X12] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | c3_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c2_1(X8)
      | c3_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | c2_1(X9)
      | ~ c1_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | ~ c2_1(X6)
      | ~ c3_1(X6)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

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

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

fof(f86,plain,
    ( ~ hskp30
    | c3_1(a2450) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c1_1(a2450) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a2450) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c3_1(a2409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c2_1(a2409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c0_1(a2409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a2406) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a2406) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c1_1(a2406) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp26
    | c1_1(a2484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp26
    | c0_1(a2484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp25
    | ~ c0_1(a2478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp25
    | c2_1(a2478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c0_1(a2455) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | c3_1(a2455) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c2_1(a2455) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c2_1(a2453) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | ~ c0_1(a2453) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c1_1(a2437) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | c2_1(a2437) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c0_1(a2437) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c2_1(a2435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c3_1(a2435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c0_1(a2432) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c3_1(a2432) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c1_1(a2432) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp18
    | ~ c3_1(a2428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp18
    | ~ c2_1(a2428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp18
    | ~ c0_1(a2428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | c3_1(a2427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c2_1(a2427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c3_1(a2425) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | ~ c2_1(a2425) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c0_1(a2425) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | c3_1(a2422) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp15
    | c1_1(a2422) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | c2_1(a2420) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | c1_1(a2420) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c0_1(a2418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c2_1(a2418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c1_1(a2418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c3_1(a2417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c2_1(a2416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c3_1(a2416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c3_1(a2414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c1_1(a2414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c0_1(a2414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c1_1(a2413) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c2_1(a2413) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f174,plain,
    ( ~ hskp8
    | ~ c2_1(a2412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c1_1(a2412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c3_1(a2411) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | ~ c1_1(a2411) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c2_1(a2411) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c2_1(a2410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | c1_1(a2410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | c0_1(a2410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c2_1(a2408) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | c3_1(a2408) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | c0_1(a2408) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c2_1(a2407) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | ~ c1_1(a2407) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | c0_1(a2407) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c3_1(a2405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | c2_1(a2405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | c0_1(a2405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c3_1(a2404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | ~ c2_1(a2404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | ~ c1_1(a2404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a2403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | c1_1(a2403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c1_1(a2402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp0
    | c3_1(a2402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp0
    | c0_1(a2402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c2_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c2_1(X105)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f211,plain,
    ! [X101,X102] :
      ( c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f213,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f214,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f215,plain,
    ! [X82,X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f216,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c1_1(X80)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f217,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ c2_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f218,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f219,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f220,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f222,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f223,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ c2_1(X56)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f224,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f225,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f226,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c3_1(X49)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f230,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X37)
      | c2_1(X38)
      | ~ c0_1(X38)
      | ~ c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f231,plain,
    ! [X31,X32,X33] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c2_1(X32)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33) ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f232,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f233,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ c3_1(X26) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f234,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | ~ c0_1(X21)
      | ~ c3_1(X21)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f235,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f236,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | ~ c1_1(X17)
      | ~ c3_1(X17)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f237,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f238,plain,
    ! [X10,X11,X12] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | c3_1(X11)
      | ~ c1_1(X11)
      | c2_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f239,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c2_1(X8)
      | c3_1(X8)
      | ~ c0_1(X8)
      | c2_1(X9)
      | ~ c1_1(X9)
      | ~ c3_1(X9) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f240,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | ~ c2_1(X6)
      | ~ c3_1(X6)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f241,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f244,definition,
    ( spl0_1
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f247,definition,
    ( spl0_2
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f250,definition,
    ( spl0_3
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f252,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f250,f247,f244]) ).

fof(f254,definition,
    ( spl0_4
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_5
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_6
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_7
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_8
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_9
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f274,definition,
    ( spl0_10
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f276,plain,
    ( spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f274,f250,f271]) ).

fof(f278,definition,
    ( spl0_11
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f280,plain,
    ( spl0_5
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f278,f274,f257]) ).

fof(f289,definition,
    ( spl0_14
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_16
  <=> ! [X111] :
        ( ~ c1_1(X111)
        | ~ c3_1(X111)
        | ~ c2_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X111] :
        ( ~ c3_1(X111)
        | ~ c1_1(X111)
        | ~ c2_1(X111) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f299,definition,
    ( spl0_17
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_18
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f304,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f13,f295,f292,f302,f299]) ).

fof(f306,definition,
    ( spl0_19
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f309,definition,
    ( spl0_20
  <=> ! [X109] :
        ( ~ c0_1(X109)
        | ~ c3_1(X109)
        | ~ c2_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f310,plain,
    ( ! [X109] :
        ( ~ c3_1(X109)
        | ~ c0_1(X109)
        | ~ c2_1(X109) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f311,plain,
    ( spl0_7
    | spl0_19
    | ~ spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f14,f309,f292,f306,f264]) ).

fof(f313,definition,
    ( spl0_21
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_22
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_23
  <=> ! [X108] :
        ( ~ c0_1(X108)
        | ~ c3_1(X108)
        | ~ c1_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X108] :
        ( ~ c3_1(X108)
        | ~ c0_1(X108)
        | ~ c1_1(X108) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f321,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f15,f319,f292,f316,f313]) ).

fof(f326,definition,
    ( spl0_25
  <=> ! [X107] :
        ( ~ c0_1(X107)
        | ~ c2_1(X107)
        | ~ c1_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f327,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | ~ c2_1(X107)
        | ~ c1_1(X107) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f330,definition,
    ( spl0_26
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_27
  <=> ! [X106] :
        ( c3_1(X106)
        | ~ c2_1(X106)
        | ~ c1_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X106] :
        ( c3_1(X106)
        | ~ c2_1(X106)
        | ~ c1_1(X106) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f335,plain,
    ( spl0_21
    | spl0_26
    | ~ spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f17,f333,f292,f330,f313]) ).

fof(f337,definition,
    ( spl0_28
  <=> ! [X104] :
        ( c3_1(X104)
        | ~ c2_1(X104)
        | ~ c0_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X104] :
        ( c3_1(X104)
        | ~ c2_1(X104)
        | ~ c0_1(X104) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_19
    | spl0_25
    | ~ spl0_15
    | spl0_28 ),
    inference(avatar_split_clause,[],[f210,f337,f292,f326,f306]) ).

fof(f341,definition,
    ( spl0_29
  <=> ! [X103] :
        ( c3_1(X103)
        | ~ c1_1(X103)
        | ~ c0_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X103] :
        ( c3_1(X103)
        | ~ c1_1(X103)
        | ~ c0_1(X103) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f345,definition,
    ( spl0_30
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f347,plain,
    ( spl0_30
    | spl0_16
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f211,f341,f292,f295,f345]) ).

fof(f349,definition,
    ( spl0_31
  <=> ! [X99] :
        ( c2_1(X99)
        | ~ c3_1(X99)
        | ~ c1_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f350,plain,
    ( ! [X99] :
        ( ~ c3_1(X99)
        | c2_1(X99)
        | ~ c1_1(X99) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f353,definition,
    ( spl0_32
  <=> ! [X98] :
        ( c2_1(X98)
        | ~ c1_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X98] :
        ( ~ c0_1(X98)
        | ~ c1_1(X98)
        | c2_1(X98) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f356,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_15
    | spl0_32 ),
    inference(avatar_split_clause,[],[f23,f353,f292,f257,f254]) ).

fof(f358,definition,
    ( spl0_33
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_33
    | spl0_6
    | ~ spl0_15
    | spl0_32 ),
    inference(avatar_split_clause,[],[f24,f353,f292,f260,f358]) ).

fof(f362,definition,
    ( spl0_34
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c1_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | ~ c1_1(X95)
        | c2_1(X95) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f366,definition,
    ( spl0_35
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_36
  <=> ! [X93] :
        ( c2_1(X93)
        | ~ c0_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X93] :
        ( c3_1(X93)
        | ~ c0_1(X93)
        | c2_1(X93) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f27,f370,f292,f260,f257]) ).

fof(f374,definition,
    ( spl0_37
  <=> ! [X92] :
        ( c1_1(X92)
        | ~ c3_1(X92)
        | ~ c2_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | c1_1(X92)
        | ~ c2_1(X92) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f377,plain,
    ( spl0_9
    | spl0_18
    | ~ spl0_15
    | spl0_37 ),
    inference(avatar_split_clause,[],[f29,f374,f292,f302,f271]) ).

fof(f378,plain,
    ( spl0_23
    | spl0_36
    | ~ spl0_15
    | spl0_37 ),
    inference(avatar_split_clause,[],[f213,f374,f292,f370,f319]) ).

fof(f380,definition,
    ( spl0_38
  <=> ! [X85] :
        ( c1_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85)
        | c1_1(X85) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f382,plain,
    ( spl0_20
    | spl0_34
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f214,f380,f292,f362,f309]) ).

fof(f384,definition,
    ( spl0_39
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_40
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f390,definition,
    ( spl0_41
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c2_1(X84)
        | c3_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | ~ c2_1(X84)
        | c1_1(X84) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f32,f390,f292,f387,f384]) ).

fof(f393,plain,
    ( spl0_2
    | spl0_17
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f33,f390,f292,f299,f247]) ).

fof(f394,plain,
    ( spl0_22
    | spl0_29
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f215,f390,f292,f341,f316]) ).

fof(f395,plain,
    ( spl0_35
    | spl0_32
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f216,f390,f292,f353,f366]) ).

fof(f396,plain,
    ( spl0_8
    | spl0_38
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f217,f390,f292,f380,f267]) ).

fof(f398,definition,
    ( spl0_42
  <=> ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | c3_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X74] :
        ( c3_1(X74)
        | ~ c0_1(X74)
        | c1_1(X74) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_16
    | spl0_29
    | ~ spl0_15
    | spl0_42 ),
    inference(avatar_split_clause,[],[f218,f398,f292,f341,f295]) ).

fof(f402,definition,
    ( spl0_43
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c3_1(X73)
        | c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c1_1(X73)
        | c2_1(X73) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f405,plain,
    ( spl0_21
    | spl0_34
    | ~ spl0_15
    | spl0_43 ),
    inference(avatar_split_clause,[],[f219,f402,f292,f362,f313]) ).

fof(f406,plain,
    ( spl0_33
    | spl0_37
    | ~ spl0_15
    | spl0_43 ),
    inference(avatar_split_clause,[],[f220,f402,f292,f374,f358]) ).

fof(f408,definition,
    ( spl0_44
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f411,definition,
    ( spl0_45
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c0_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X68] :
        ( ~ c0_1(X68)
        | c1_1(X68)
        | c2_1(X68) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f413,plain,
    ( spl0_44
    | spl0_6
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f41,f411,f292,f260,f408]) ).

fof(f414,plain,
    ( spl0_18
    | spl0_11
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f42,f411,f292,f278,f302]) ).

fof(f417,definition,
    ( spl0_46
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c3_1(X64)
        | ~ c2_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X64] :
        ( ~ c3_1(X64)
        | c0_1(X64)
        | ~ c2_1(X64) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_14
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f44,f417,f292,f289]) ).

fof(f421,definition,
    ( spl0_47
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f423,plain,
    ( spl0_2
    | spl0_47
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f45,f417,f292,f421,f247]) ).

fof(f424,plain,
    ( spl0_18
    | spl0_26
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f46,f417,f292,f330,f302]) ).

fof(f425,plain,
    ( spl0_35
    | spl0_37
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f222,f417,f292,f374,f366]) ).

fof(f427,definition,
    ( spl0_48
  <=> ! [X59] :
        ( c0_1(X59)
        | ~ c3_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X59] :
        ( ~ c3_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f429,plain,
    ( spl0_19
    | spl0_1
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f48,f427,f292,f244,f306]) ).

fof(f430,plain,
    ( spl0_2
    | spl0_33
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f49,f427,f292,f358,f247]) ).

fof(f432,definition,
    ( spl0_49
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f434,plain,
    ( spl0_49
    | spl0_18
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f50,f427,f292,f302,f432]) ).

fof(f435,plain,
    ( spl0_1
    | spl0_28
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f223,f427,f292,f337,f244]) ).

fof(f436,plain,
    ( spl0_19
    | spl0_31
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f224,f427,f292,f349,f306]) ).

fof(f438,definition,
    ( spl0_50
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c2_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | ~ c2_1(X52)
        | ~ c1_1(X52) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( spl0_9
    | spl0_39
    | ~ spl0_15
    | spl0_50 ),
    inference(avatar_split_clause,[],[f53,f438,f292,f384,f271]) ).

fof(f441,plain,
    ( spl0_5
    | spl0_42
    | ~ spl0_15
    | spl0_50 ),
    inference(avatar_split_clause,[],[f225,f438,f292,f398,f257]) ).

fof(f443,definition,
    ( spl0_51
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_52
  <=> ! [X48] :
        ( c0_1(X48)
        | ~ c1_1(X48)
        | c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | ~ c1_1(X48)
        | c0_1(X48) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_51
    | spl0_43
    | ~ spl0_15
    | spl0_52 ),
    inference(avatar_split_clause,[],[f226,f446,f292,f402,f443]) ).

fof(f455,definition,
    ( spl0_54
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl0_7
    | spl0_49
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f58,f455,f292,f432,f264]) ).

fof(f459,definition,
    ( spl0_55
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f463,definition,
    ( spl0_56
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f465,plain,
    ( spl0_17
    | spl0_56
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f60,f455,f292,f463,f299]) ).

fof(f467,plain,
    ( spl0_32
    | spl0_45
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f230,f455,f292,f411,f353]) ).

fof(f469,definition,
    ( spl0_57
  <=> ! [X35] :
        ( c0_1(X35)
        | c3_1(X35)
        | c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X35] :
        ( c3_1(X35)
        | c0_1(X35)
        | c2_1(X35) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_33
    | spl0_22
    | ~ spl0_15
    | spl0_57 ),
    inference(avatar_split_clause,[],[f63,f469,f292,f316,f358]) ).

fof(f472,plain,
    ( spl0_33
    | spl0_55
    | ~ spl0_15
    | spl0_57 ),
    inference(avatar_split_clause,[],[f64,f469,f292,f459,f358]) ).

fof(f473,plain,
    ( spl0_31
    | spl0_50
    | ~ spl0_15
    | spl0_57 ),
    inference(avatar_split_clause,[],[f231,f469,f292,f438,f349]) ).

fof(f475,definition,
    ( spl0_58
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c3_1(X30)
        | c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f476,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c0_1(X30)
        | c1_1(X30) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f477,plain,
    ( spl0_39
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f66,f475,f292,f384]) ).

fof(f479,plain,
    ( spl0_30
    | spl0_37
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f232,f475,f292,f374,f345]) ).

fof(f480,plain,
    ( spl0_16
    | spl0_57
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f233,f475,f292,f469,f295]) ).

fof(f482,definition,
    ( spl0_59
  <=> ! [X23] :
        ( c0_1(X23)
        | ~ c2_1(X23)
        | c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f483,plain,
    ( ! [X23] :
        ( c0_1(X23)
        | ~ c2_1(X23)
        | c1_1(X23) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f485,plain,
    ( spl0_1
    | spl0_26
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f71,f482,f292,f330,f244]) ).

fof(f487,definition,
    ( spl0_60
  <=> ! [X21] :
        ( c1_1(X21)
        | ~ c3_1(X21)
        | ~ c0_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21)
        | ~ c0_1(X21) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_56
    | spl0_60
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f234,f482,f292,f487,f463]) ).

fof(f490,plain,
    ( spl0_6
    | spl0_46
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f235,f482,f292,f417,f260]) ).

fof(f491,plain,
    ( spl0_51
    | spl0_48
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f236,f482,f292,f427,f443]) ).

fof(f493,definition,
    ( spl0_61
  <=> ! [X15] :
        ( c0_1(X15)
        | c3_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X15] :
        ( c3_1(X15)
        | c0_1(X15)
        | c1_1(X15) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f496,plain,
    ( spl0_35
    | spl0_25
    | ~ spl0_15
    | spl0_61 ),
    inference(avatar_split_clause,[],[f237,f493,f292,f326,f366]) ).

fof(f498,definition,
    ( spl0_62
  <=> ! [X10] :
        ( c0_1(X10)
        | c2_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X10] :
        ( c0_1(X10)
        | c2_1(X10)
        | c1_1(X10) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( spl0_31
    | spl0_34
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f238,f498,f292,f362,f349]) ).

fof(f501,plain,
    ( spl0_31
    | spl0_36
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f239,f498,f292,f370,f349]) ).

fof(f502,plain,
    ( spl0_33
    | spl0_37
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f240,f498,f292,f374,f358]) ).

fof(f503,plain,
    ( spl0_17
    | spl0_58
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f241,f498,f292,f475,f299]) ).

fof(f504,plain,
    ( spl0_38
    | spl0_59
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f242,f498,f292,f482,f380]) ).

fof(f521,definition,
    ( spl0_66
  <=> c3_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f522,plain,
    ( c3_1(a2450)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f524,plain,
    ( spl0_66
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f86,f278,f521]) ).

fof(f526,definition,
    ( spl0_67
  <=> c1_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f528,plain,
    ( spl0_67
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f278,f526]) ).

fof(f530,definition,
    ( spl0_68
  <=> c0_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f532,plain,
    ( spl0_68
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f278,f530]) ).

fof(f535,definition,
    ( spl0_69
  <=> c3_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f536,plain,
    ( c3_1(a2409)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( spl0_69
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f90,f463,f535]) ).

fof(f540,definition,
    ( spl0_70
  <=> c2_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f542,plain,
    ( spl0_70
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f91,f463,f540]) ).

fof(f544,definition,
    ( spl0_71
  <=> c0_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f545,plain,
    ( c0_1(a2409)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f546,plain,
    ( spl0_71
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f92,f463,f544]) ).

fof(f549,definition,
    ( spl0_72
  <=> c3_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f550,plain,
    ( c3_1(a2406)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f552,plain,
    ( spl0_72
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f94,f421,f549]) ).

fof(f554,definition,
    ( spl0_73
  <=> c2_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f556,plain,
    ( spl0_73
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f95,f421,f554]) ).

fof(f558,definition,
    ( spl0_74
  <=> c1_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f560,plain,
    ( spl0_74
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f96,f421,f558]) ).

fof(f577,definition,
    ( spl0_78
  <=> c3_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ c3_1(a2484)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl0_78
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f102,f274,f577]) ).

fof(f582,definition,
    ( spl0_79
  <=> c1_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f584,plain,
    ( spl0_79
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f103,f274,f582]) ).

fof(f586,definition,
    ( spl0_80
  <=> c0_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f587,plain,
    ( c0_1(a2484)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f588,plain,
    ( spl0_80
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f104,f274,f586]) ).

fof(f596,definition,
    ( spl0_82
  <=> c0_1(a2478) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ c0_1(a2478)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f598,plain,
    ( ~ spl0_82
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f107,f254,f596]) ).

fof(f600,definition,
    ( spl0_83
  <=> c2_1(a2478) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f602,plain,
    ( spl0_83
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f108,f254,f600]) ).

fof(f619,definition,
    ( spl0_87
  <=> c0_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c0_1(a2455)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f622,plain,
    ( ~ spl0_87
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f114,f313,f619]) ).

fof(f624,definition,
    ( spl0_88
  <=> c3_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f625,plain,
    ( c3_1(a2455)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( spl0_88
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f115,f313,f624]) ).

fof(f628,definition,
    ( spl0_89
  <=> c2_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f630,plain,
    ( spl0_89
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f116,f313,f628]) ).

fof(f633,definition,
    ( spl0_90
  <=> c2_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ spl0_90
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f118,f408,f633]) ).

fof(f638,definition,
    ( spl0_91
  <=> c1_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f640,plain,
    ( ~ spl0_91
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f119,f408,f638]) ).

fof(f642,definition,
    ( spl0_92
  <=> c0_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f643,plain,
    ( ~ c0_1(a2453)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f644,plain,
    ( ~ spl0_92
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f120,f408,f642]) ).

fof(f647,definition,
    ( spl0_93
  <=> c1_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f650,plain,
    ( ~ spl0_93
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f122,f302,f647]) ).

fof(f652,definition,
    ( spl0_94
  <=> c2_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f654,plain,
    ( spl0_94
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f123,f302,f652]) ).

fof(f656,definition,
    ( spl0_95
  <=> c0_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f657,plain,
    ( c0_1(a2437)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f658,plain,
    ( spl0_95
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f124,f302,f656]) ).

fof(f661,definition,
    ( spl0_96
  <=> c2_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ spl0_96
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f126,f306,f661]) ).

fof(f666,definition,
    ( spl0_97
  <=> c0_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ c0_1(a2435)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f668,plain,
    ( ~ spl0_97
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f127,f306,f666]) ).

fof(f670,definition,
    ( spl0_98
  <=> c3_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f671,plain,
    ( c3_1(a2435)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f672,plain,
    ( spl0_98
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f128,f306,f670]) ).

fof(f675,definition,
    ( spl0_99
  <=> c0_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f676,plain,
    ( ~ c0_1(a2432)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( ~ spl0_99
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f130,f257,f675]) ).

fof(f680,definition,
    ( spl0_100
  <=> c3_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f681,plain,
    ( c3_1(a2432)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( spl0_100
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f131,f257,f680]) ).

fof(f684,definition,
    ( spl0_101
  <=> c1_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f686,plain,
    ( spl0_101
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f132,f257,f684]) ).

fof(f689,definition,
    ( spl0_102
  <=> c3_1(a2428) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ c3_1(a2428)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( ~ spl0_102
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f134,f264,f689]) ).

fof(f694,definition,
    ( spl0_103
  <=> c2_1(a2428) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f696,plain,
    ( ~ spl0_103
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f135,f264,f694]) ).

fof(f698,definition,
    ( spl0_104
  <=> c0_1(a2428) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ spl0_104
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f136,f264,f698]) ).

fof(f703,definition,
    ( spl0_105
  <=> c1_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f706,plain,
    ( ~ spl0_105
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f138,f432,f703]) ).

fof(f708,definition,
    ( spl0_106
  <=> c3_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f709,plain,
    ( c3_1(a2427)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_106
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f139,f432,f708]) ).

fof(f712,definition,
    ( spl0_107
  <=> c2_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_107
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f140,f432,f712]) ).

fof(f717,definition,
    ( spl0_108
  <=> c3_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ c3_1(a2425)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl0_108
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f142,f387,f717]) ).

fof(f722,definition,
    ( spl0_109
  <=> c2_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ spl0_109
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f143,f387,f722]) ).

fof(f726,definition,
    ( spl0_110
  <=> c0_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f728,plain,
    ( spl0_110
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f144,f387,f726]) ).

fof(f731,definition,
    ( spl0_111
  <=> c2_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f734,plain,
    ( ~ spl0_111
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f146,f289,f731]) ).

fof(f736,definition,
    ( spl0_112
  <=> c3_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f737,plain,
    ( c3_1(a2422)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f738,plain,
    ( spl0_112
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f147,f289,f736]) ).

fof(f740,definition,
    ( spl0_113
  <=> c1_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f742,plain,
    ( spl0_113
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f148,f289,f740]) ).

fof(f745,definition,
    ( spl0_114
  <=> c3_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f746,plain,
    ( ~ c3_1(a2420)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f748,plain,
    ( ~ spl0_114
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f150,f316,f745]) ).

fof(f750,definition,
    ( spl0_115
  <=> c2_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f751,plain,
    ( c2_1(a2420)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f752,plain,
    ( spl0_115
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f151,f316,f750]) ).

fof(f754,definition,
    ( spl0_116
  <=> c1_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_116
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f152,f316,f754]) ).

fof(f759,definition,
    ( spl0_117
  <=> c0_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ c0_1(a2418)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( ~ spl0_117
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f154,f459,f759]) ).

fof(f764,definition,
    ( spl0_118
  <=> c2_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_118
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f155,f459,f764]) ).

fof(f768,definition,
    ( spl0_119
  <=> c1_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f770,plain,
    ( spl0_119
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f156,f459,f768]) ).

fof(f773,definition,
    ( spl0_120
  <=> c1_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f776,plain,
    ( ~ spl0_120
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f158,f384,f773]) ).

fof(f778,definition,
    ( spl0_121
  <=> c0_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ c0_1(a2417)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f780,plain,
    ( ~ spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f159,f384,f778]) ).

fof(f782,definition,
    ( spl0_122
  <=> c3_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f783,plain,
    ( c3_1(a2417)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f784,plain,
    ( spl0_122
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f160,f384,f782]) ).

fof(f787,definition,
    ( spl0_123
  <=> c2_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f790,plain,
    ( ~ spl0_123
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f162,f271,f787]) ).

fof(f792,definition,
    ( spl0_124
  <=> c1_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f794,plain,
    ( ~ spl0_124
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f163,f271,f792]) ).

fof(f796,definition,
    ( spl0_125
  <=> c3_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f797,plain,
    ( c3_1(a2416)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f798,plain,
    ( spl0_125
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f164,f271,f796]) ).

fof(f801,definition,
    ( spl0_126
  <=> c3_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f802,plain,
    ( ~ c3_1(a2414)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( ~ spl0_126
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f166,f345,f801]) ).

fof(f806,definition,
    ( spl0_127
  <=> c1_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ spl0_127
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f167,f345,f806]) ).

fof(f810,definition,
    ( spl0_128
  <=> c0_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f811,plain,
    ( c0_1(a2414)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f812,plain,
    ( spl0_128
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f168,f345,f810]) ).

fof(f815,definition,
    ( spl0_129
  <=> c1_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f818,plain,
    ( ~ spl0_129
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f170,f247,f815]) ).

fof(f820,definition,
    ( spl0_130
  <=> c0_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c0_1(a2413)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f822,plain,
    ( ~ spl0_130
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f171,f247,f820]) ).

fof(f824,definition,
    ( spl0_131
  <=> c2_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f826,plain,
    ( spl0_131
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f172,f247,f824]) ).

fof(f827,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f173,f247,f292]) ).

fof(f829,definition,
    ( spl0_132
  <=> c2_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f832,plain,
    ( ~ spl0_132
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f174,f250,f829]) ).

fof(f834,definition,
    ( spl0_133
  <=> c0_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ c0_1(a2412)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f836,plain,
    ( ~ spl0_133
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f175,f250,f834]) ).

fof(f838,definition,
    ( spl0_134
  <=> c1_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f840,plain,
    ( spl0_134
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f176,f250,f838]) ).

fof(f841,plain,
    ( spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f177,f250,f292]) ).

fof(f843,definition,
    ( spl0_135
  <=> c3_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f844,plain,
    ( ~ c3_1(a2411)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( ~ spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f244,f843]) ).

fof(f848,definition,
    ( spl0_136
  <=> c1_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f850,plain,
    ( ~ spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f244,f848]) ).

fof(f852,definition,
    ( spl0_137
  <=> c2_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f244,f852]) ).

fof(f855,plain,
    ( spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f244,f292]) ).

fof(f857,definition,
    ( spl0_138
  <=> c2_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f860,plain,
    ( ~ spl0_138
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f182,f330,f857]) ).

fof(f862,definition,
    ( spl0_139
  <=> c1_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f864,plain,
    ( spl0_139
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f183,f330,f862]) ).

fof(f866,definition,
    ( spl0_140
  <=> c0_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f867,plain,
    ( c0_1(a2410)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f868,plain,
    ( spl0_140
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f184,f330,f866]) ).

fof(f871,definition,
    ( spl0_141
  <=> c2_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ spl0_141
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f186,f260,f871]) ).

fof(f876,definition,
    ( spl0_142
  <=> c3_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f877,plain,
    ( c3_1(a2408)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f878,plain,
    ( spl0_142
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f187,f260,f876]) ).

fof(f880,definition,
    ( spl0_143
  <=> c0_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f881,plain,
    ( c0_1(a2408)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f882,plain,
    ( spl0_143
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f188,f260,f880]) ).

fof(f885,definition,
    ( spl0_144
  <=> c2_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f888,plain,
    ( ~ spl0_144
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f190,f443,f885]) ).

fof(f890,definition,
    ( spl0_145
  <=> c1_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ spl0_145
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f191,f443,f890]) ).

fof(f894,definition,
    ( spl0_146
  <=> c0_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f895,plain,
    ( c0_1(a2407)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f896,plain,
    ( spl0_146
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f192,f443,f894]) ).

fof(f899,definition,
    ( spl0_147
  <=> c3_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ c3_1(a2405)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f902,plain,
    ( ~ spl0_147
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f194,f267,f899]) ).

fof(f904,definition,
    ( spl0_148
  <=> c2_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f906,plain,
    ( spl0_148
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f195,f267,f904]) ).

fof(f908,definition,
    ( spl0_149
  <=> c0_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f910,plain,
    ( spl0_149
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f196,f267,f908]) ).

fof(f913,definition,
    ( spl0_150
  <=> c3_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f914,plain,
    ( ~ c3_1(a2404)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( ~ spl0_150
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f198,f366,f913]) ).

fof(f918,definition,
    ( spl0_151
  <=> c2_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ spl0_151
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f199,f366,f918]) ).

fof(f922,definition,
    ( spl0_152
  <=> c1_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ spl0_152
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f200,f366,f922]) ).

fof(f927,definition,
    ( spl0_153
  <=> c3_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f928,plain,
    ( ~ c3_1(a2403)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( ~ spl0_153
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f202,f358,f927]) ).

fof(f932,definition,
    ( spl0_154
  <=> c2_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f934,plain,
    ( ~ spl0_154
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f203,f358,f932]) ).

fof(f936,definition,
    ( spl0_155
  <=> c1_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f938,plain,
    ( spl0_155
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f204,f358,f936]) ).

fof(f941,definition,
    ( spl0_156
  <=> c1_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ spl0_156
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f206,f299,f941]) ).

fof(f946,definition,
    ( spl0_157
  <=> c3_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f947,plain,
    ( c3_1(a2402)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f948,plain,
    ( spl0_157
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f207,f299,f946]) ).

fof(f950,definition,
    ( spl0_158
  <=> c0_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f952,plain,
    ( spl0_158
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f208,f299,f950]) ).

fof(f954,plain,
    ( ~ c2_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_25
    | ~ spl0_80 ),
    inference(resolution,[],[f327,f587]) ).

fof(f957,definition,
    ( spl0_159
  <=> c2_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ spl0_79
    | ~ spl0_159
    | ~ spl0_25
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f954,f586,f326,f957,f582]) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(resolution,[],[f334,f320]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f960]) ).

fof(f968,definition,
    ( spl0_160
  <=> c1_1(a2478) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f973,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(resolution,[],[f338,f296]) ).

fof(f977,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f973]) ).

fof(f985,plain,
    ( ~ c1_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_29
    | spl0_78 ),
    inference(resolution,[],[f342,f578]) ).

fof(f989,plain,
    ( ~ spl0_80
    | ~ spl0_79
    | ~ spl0_29
    | spl0_78 ),
    inference(avatar_split_clause,[],[f985,f577,f341,f582,f586]) ).

fof(f1001,definition,
    ( spl0_161
  <=> c2_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c1_1(a2484)
    | c2_1(a2484)
    | ~ spl0_34
    | spl0_78 ),
    inference(resolution,[],[f363,f578]) ).

fof(f1030,definition,
    ( spl0_163
  <=> c1_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(resolution,[],[f310,f338]) ).

fof(f1039,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1034]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(resolution,[],[f350,f342]) ).

fof(f1048,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1042]) ).

fof(f1051,definition,
    ( spl0_164
  <=> c1_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1055,plain,
    ( spl0_32
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1048,f349,f341,f353]) ).

fof(f1060,plain,
    ( ~ c0_1(a2484)
    | c2_1(a2484)
    | ~ spl0_36
    | spl0_78 ),
    inference(resolution,[],[f371,f578]) ).

fof(f1067,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(resolution,[],[f375,f338]) ).

fof(f1070,plain,
    ( c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_37
    | ~ spl0_88 ),
    inference(resolution,[],[f375,f625]) ).

fof(f1072,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1067]) ).

fof(f1079,definition,
    ( spl0_165
  <=> c0_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1080,plain,
    ( ~ c0_1(a2420)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1085,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(resolution,[],[f391,f310]) ).

fof(f1092,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1085]) ).

fof(f1100,plain,
    ( c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(resolution,[],[f403,f877]) ).

fof(f1101,plain,
    ( c1_1(a2416)
    | c2_1(a2416)
    | ~ spl0_43
    | ~ spl0_125 ),
    inference(resolution,[],[f403,f797]) ).

fof(f1114,plain,
    ( spl0_159
    | ~ spl0_79
    | ~ spl0_34
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1007,f577,f362,f582,f957]) ).

fof(f1121,definition,
    ( spl0_166
  <=> c1_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1136,plain,
    ( ~ c1_1(a2425)
    | c2_1(a2425)
    | ~ spl0_34
    | spl0_108 ),
    inference(resolution,[],[f363,f718]) ).

fof(f1142,plain,
    ( spl0_109
    | ~ spl0_166
    | ~ spl0_34
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1136,f717,f362,f1121,f722]) ).

fof(f1143,plain,
    ( c1_1(a2407)
    | c2_1(a2407)
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(resolution,[],[f412,f895]) ).

fof(f1144,plain,
    ( c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(resolution,[],[f412,f881]) ).

fof(f1153,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(resolution,[],[f399,f375]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(resolution,[],[f399,f310]) ).

fof(f1157,plain,
    ( ~ c0_1(a2425)
    | c1_1(a2425)
    | ~ spl0_42
    | spl0_108 ),
    inference(resolution,[],[f399,f718]) ).

fof(f1161,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1154]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1153]) ).

fof(f1163,plain,
    ( spl0_166
    | ~ spl0_110
    | ~ spl0_42
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1157,f717,f398,f726,f1121]) ).

fof(f1172,definition,
    ( spl0_167
  <=> c2_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1186,plain,
    ( c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_46
    | ~ spl0_88 ),
    inference(resolution,[],[f418,f625]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(resolution,[],[f428,f363]) ).

fof(f1197,plain,
    ( c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_48
    | ~ spl0_88 ),
    inference(resolution,[],[f428,f625]) ).

fof(f1200,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1191]) ).

fof(f1201,plain,
    ( spl0_54
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1200,f427,f362,f455]) ).

fof(f1203,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_50 ),
    inference(resolution,[],[f439,f327]) ).

fof(f1205,plain,
    ( ~ c2_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_50
    | spl0_165 ),
    inference(resolution,[],[f439,f1080]) ).

fof(f1207,plain,
    ( ~ c2_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_50
    | spl0_87 ),
    inference(resolution,[],[f439,f620]) ).

fof(f1208,plain,
    ( ~ c2_1(a2478)
    | ~ c1_1(a2478)
    | ~ spl0_50
    | spl0_82 ),
    inference(resolution,[],[f439,f597]) ).

fof(f1210,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1203]) ).

fof(f1215,plain,
    ( ~ spl0_116
    | ~ spl0_115
    | ~ spl0_50
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1205,f1079,f438,f750,f754]) ).

fof(f1217,plain,
    ( c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_46
    | ~ spl0_100 ),
    inference(resolution,[],[f681,f418]) ).

fof(f1222,definition,
    ( spl0_168
  <=> c2_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1246,plain,
    ( ~ c2_1(a2437)
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_95 ),
    inference(resolution,[],[f657,f1039]) ).

fof(f1273,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(resolution,[],[f320,f363]) ).

fof(f1283,plain,
    ( ~ c0_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(resolution,[],[f320,f522]) ).

fof(f1286,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1273]) ).

fof(f1292,plain,
    ( spl0_32
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1286,f362,f319,f353]) ).

fof(f1297,definition,
    ( spl0_171
  <=> c2_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1309,plain,
    ( ~ c1_1(a2432)
    | c2_1(a2432)
    | ~ spl0_54
    | spl0_99 ),
    inference(resolution,[],[f456,f676]) ).

fof(f1310,plain,
    ( ~ c1_1(a2435)
    | c2_1(a2435)
    | ~ spl0_54
    | spl0_97 ),
    inference(resolution,[],[f456,f667]) ).

fof(f1316,definition,
    ( spl0_172
  <=> c1_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1319,plain,
    ( spl0_168
    | ~ spl0_101
    | ~ spl0_54
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1309,f675,f455,f684,f1222]) ).

fof(f1327,plain,
    ( c0_1(a2428)
    | c2_1(a2428)
    | ~ spl0_57
    | spl0_102 ),
    inference(resolution,[],[f470,f690]) ).

fof(f1332,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(resolution,[],[f476,f470]) ).

fof(f1334,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(resolution,[],[f476,f391]) ).

fof(f1344,plain,
    ( c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(resolution,[],[f476,f625]) ).

fof(f1346,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1334]) ).

fof(f1347,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1332]) ).

fof(f1353,plain,
    ( spl0_59
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1346,f475,f390,f482]) ).

fof(f1354,plain,
    ( spl0_62
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1347,f475,f469,f498]) ).

fof(f1361,plain,
    ( ~ c2_1(a2413)
    | c1_1(a2413)
    | ~ spl0_59
    | spl0_130 ),
    inference(resolution,[],[f483,f821]) ).

fof(f1366,plain,
    ( ~ c2_1(a2455)
    | c1_1(a2455)
    | ~ spl0_59
    | spl0_87 ),
    inference(resolution,[],[f483,f620]) ).

fof(f1367,plain,
    ( ~ c2_1(a2478)
    | c1_1(a2478)
    | ~ spl0_59
    | spl0_82 ),
    inference(resolution,[],[f483,f597]) ).

fof(f1374,plain,
    ( spl0_129
    | ~ spl0_131
    | ~ spl0_59
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1361,f820,f482,f824,f815]) ).

fof(f1380,plain,
    ( c1_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_60
    | ~ spl0_142 ),
    inference(resolution,[],[f488,f877]) ).

fof(f1398,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_61 ),
    inference(resolution,[],[f494,f375]) ).

fof(f1406,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f1398]) ).

fof(f1410,plain,
    ( spl0_59
    | ~ spl0_37
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1406,f493,f374,f482]) ).

fof(f1413,plain,
    ( ~ c0_1(a2406)
    | ~ c2_1(a2406)
    | ~ spl0_20
    | ~ spl0_72 ),
    inference(resolution,[],[f550,f310]) ).

fof(f1417,definition,
    ( spl0_173
  <=> c0_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1418,plain,
    ( ~ c0_1(a2406)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f1426,plain,
    ( c2_1(a2435)
    | c1_1(a2435)
    | ~ spl0_62
    | spl0_97 ),
    inference(resolution,[],[f499,f667]) ).

fof(f1443,plain,
    ( spl0_38
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1072,f374,f337,f380]) ).

fof(f1448,definition,
    ( spl0_174
  <=> c1_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1485,definition,
    ( spl0_177
  <=> c0_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1495,definition,
    ( spl0_178
  <=> c2_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1503,plain,
    ( ~ c2_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_27
    | spl0_114 ),
    inference(resolution,[],[f334,f746]) ).

fof(f1510,plain,
    ( ~ spl0_116
    | ~ spl0_115
    | ~ spl0_27
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1503,f745,f333,f750,f754]) ).

fof(f1520,plain,
    ( c2_1(a2408)
    | ~ c1_1(a2408)
    | ~ spl0_31
    | ~ spl0_142 ),
    inference(resolution,[],[f350,f877]) ).

fof(f1523,plain,
    ( c2_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(resolution,[],[f350,f737]) ).

fof(f1525,plain,
    ( c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(resolution,[],[f350,f681]) ).

fof(f1530,plain,
    ( c2_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_31
    | ~ spl0_66 ),
    inference(resolution,[],[f350,f522]) ).

fof(f1548,plain,
    ( ~ c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_32
    | ~ spl0_143 ),
    inference(resolution,[],[f354,f881]) ).

fof(f1549,plain,
    ( ~ c1_1(a2410)
    | c2_1(a2410)
    | ~ spl0_32
    | ~ spl0_140 ),
    inference(resolution,[],[f354,f867]) ).

fof(f1552,plain,
    ( ~ c1_1(a2484)
    | c2_1(a2484)
    | ~ spl0_32
    | ~ spl0_80 ),
    inference(resolution,[],[f354,f587]) ).

fof(f1557,plain,
    ( spl0_159
    | ~ spl0_79
    | ~ spl0_32
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1552,f586,f353,f582,f957]) ).

fof(f1558,plain,
    ( spl0_138
    | ~ spl0_139
    | ~ spl0_32
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1549,f866,f353,f862,f857]) ).

fof(f1565,plain,
    ( ~ c0_1(a2425)
    | c2_1(a2425)
    | ~ spl0_36
    | spl0_108 ),
    inference(resolution,[],[f371,f718]) ).

fof(f1570,plain,
    ( spl0_109
    | ~ spl0_110
    | ~ spl0_36
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1565,f717,f370,f726,f722]) ).

fof(f1584,plain,
    ( spl0_141
    | spl0_164
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1100,f876,f402,f1051,f871]) ).

fof(f1585,plain,
    ( spl0_144
    | spl0_145
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1143,f894,f411,f890,f885]) ).

fof(f1586,plain,
    ( spl0_141
    | spl0_164
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1144,f880,f411,f1051,f871]) ).

fof(f1593,plain,
    ( spl0_163
    | spl0_87
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1344,f624,f475,f619,f1030]) ).

fof(f1605,plain,
    ( spl0_25
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f966,f333,f319,f326]) ).

fof(f1642,plain,
    ( ~ c1_1(a2403)
    | c2_1(a2403)
    | ~ spl0_34
    | spl0_153 ),
    inference(resolution,[],[f928,f363]) ).

fof(f1645,definition,
    ( spl0_181
  <=> c0_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1646,plain,
    ( ~ c0_1(a2403)
    | spl0_181 ),
    inference(avatar_component_clause,[],[f1645]) ).

fof(f1650,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_34
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1642,f927,f362,f936,f932]) ).

fof(f1661,plain,
    ( ~ c0_1(a2408)
    | ~ c1_1(a2408)
    | ~ spl0_23
    | ~ spl0_142 ),
    inference(resolution,[],[f320,f877]) ).

fof(f1663,plain,
    ( ~ c0_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_23
    | ~ spl0_112 ),
    inference(resolution,[],[f320,f737]) ).

fof(f1679,definition,
    ( spl0_182
  <=> c0_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1713,plain,
    ( ~ c2_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_28
    | spl0_147 ),
    inference(resolution,[],[f338,f900]) ).

fof(f1718,plain,
    ( ~ spl0_149
    | ~ spl0_148
    | ~ spl0_28
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1713,f899,f337,f904,f908]) ).

fof(f1740,plain,
    ( ~ c2_1(a2437)
    | c1_1(a2437)
    | ~ spl0_38
    | ~ spl0_95 ),
    inference(resolution,[],[f381,f657]) ).

fof(f1761,plain,
    ( spl0_38
    | ~ spl0_20
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1092,f390,f309,f380]) ).

fof(f1764,plain,
    ( ~ spl0_94
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1246,f656,f337,f309,f652]) ).

fof(f1767,plain,
    ( spl0_25
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f977,f337,f295,f326]) ).

fof(f1782,plain,
    ( spl0_93
    | ~ spl0_94
    | ~ spl0_38
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1740,f656,f380,f652,f647]) ).

fof(f1791,plain,
    ( spl0_96
    | ~ spl0_172
    | ~ spl0_54
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1310,f666,f455,f1316,f661]) ).

fof(f1793,plain,
    ( spl0_159
    | ~ spl0_80
    | ~ spl0_36
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1060,f577,f370,f586,f957]) ).

fof(f1806,plain,
    ( spl0_38
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1161,f398,f309,f380]) ).

fof(f1818,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1162,f398,f374,f380]) ).

fof(f1820,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_57
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1327,f689,f469,f698,f694]) ).

fof(f1826,plain,
    ( spl0_163
    | ~ spl0_89
    | ~ spl0_59
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1366,f619,f482,f628,f1030]) ).

fof(f1827,plain,
    ( spl0_160
    | ~ spl0_83
    | ~ spl0_59
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1367,f596,f482,f600,f968]) ).

fof(f1832,plain,
    ( ~ spl0_89
    | spl0_163
    | ~ spl0_37
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1070,f624,f374,f1030,f628]) ).

fof(f1844,plain,
    ( ~ c2_1(a2420)
    | ~ c0_1(a2420)
    | ~ spl0_28
    | spl0_114 ),
    inference(resolution,[],[f746,f338]) ).

fof(f1846,plain,
    ( ~ spl0_165
    | ~ spl0_115
    | ~ spl0_28
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1844,f745,f337,f750,f1079]) ).

fof(f1872,plain,
    ( c1_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_37
    | ~ spl0_122 ),
    inference(resolution,[],[f375,f783]) ).

fof(f1878,plain,
    ( c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_37
    | ~ spl0_69 ),
    inference(resolution,[],[f375,f536]) ).

fof(f1881,plain,
    ( ~ spl0_70
    | spl0_174
    | ~ spl0_37
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1878,f535,f374,f1448,f540]) ).

fof(f1882,plain,
    ( ~ spl0_171
    | spl0_120
    | ~ spl0_37
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1872,f782,f374,f773,f1297]) ).

fof(f1888,plain,
    ( ~ c2_1(a2414)
    | c1_1(a2414)
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(resolution,[],[f381,f811]) ).

fof(f1890,plain,
    ( ~ c2_1(a2409)
    | c1_1(a2409)
    | ~ spl0_38
    | ~ spl0_71 ),
    inference(resolution,[],[f381,f545]) ).

fof(f1893,plain,
    ( spl0_174
    | ~ spl0_70
    | ~ spl0_38
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1890,f544,f380,f540,f1448]) ).

fof(f1894,plain,
    ( spl0_127
    | ~ spl0_167
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1888,f810,f380,f1172,f806]) ).

fof(f1899,plain,
    ( ~ c2_1(a2411)
    | c1_1(a2411)
    | ~ spl0_41
    | spl0_135 ),
    inference(resolution,[],[f391,f844]) ).

fof(f1911,plain,
    ( spl0_136
    | ~ spl0_137
    | ~ spl0_41
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1899,f843,f390,f852,f848]) ).

fof(f1924,plain,
    ( ~ c0_1(a2404)
    | c1_1(a2404)
    | ~ spl0_42
    | spl0_150 ),
    inference(resolution,[],[f399,f914]) ).

fof(f1933,plain,
    ( spl0_152
    | ~ spl0_177
    | ~ spl0_42
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1924,f913,f398,f1485,f922]) ).

fof(f1945,plain,
    ( c1_1(a2435)
    | c2_1(a2435)
    | ~ spl0_43
    | ~ spl0_98 ),
    inference(resolution,[],[f403,f671]) ).

fof(f1962,plain,
    ( ~ spl0_67
    | spl0_161
    | ~ spl0_31
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1530,f521,f349,f1001,f526]) ).

fof(f1964,plain,
    ( ~ spl0_164
    | spl0_141
    | ~ spl0_31
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1520,f876,f349,f871,f1051]) ).

fof(f1966,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1523,f736,f349,f731,f740]) ).

fof(f1967,plain,
    ( ~ spl0_101
    | spl0_168
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1525,f680,f349,f1222,f684]) ).

fof(f1971,plain,
    ( ~ spl0_89
    | spl0_87
    | ~ spl0_46
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1186,f624,f417,f619,f628]) ).

fof(f1976,plain,
    ( ~ c0_1(a2414)
    | c1_1(a2414)
    | ~ spl0_42
    | spl0_126 ),
    inference(resolution,[],[f802,f399]) ).

fof(f1982,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_42
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1976,f801,f398,f810,f806]) ).

fof(f1989,plain,
    ( ~ spl0_73
    | ~ spl0_173
    | ~ spl0_20
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1413,f549,f309,f1417,f554]) ).

fof(f1995,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1283,f521,f319,f530,f526]) ).

fof(f2000,plain,
    ( ~ spl0_164
    | ~ spl0_143
    | ~ spl0_23
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1661,f876,f319,f880,f1051]) ).

fof(f2026,plain,
    ( ~ spl0_163
    | ~ spl0_89
    | ~ spl0_50
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1207,f619,f438,f628,f1030]) ).

fof(f2027,plain,
    ( ~ spl0_160
    | ~ spl0_83
    | ~ spl0_50
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1208,f596,f438,f600,f968]) ).

fof(f2037,plain,
    ( ~ c1_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(resolution,[],[f296,f681]) ).

fof(f2039,plain,
    ( ~ c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(resolution,[],[f296,f625]) ).

fof(f2040,plain,
    ( ~ c1_1(a2406)
    | ~ c2_1(a2406)
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(resolution,[],[f296,f550]) ).

fof(f2041,plain,
    ( ~ c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_16
    | ~ spl0_69 ),
    inference(resolution,[],[f296,f536]) ).

fof(f2042,plain,
    ( ~ c1_1(a2450)
    | ~ c2_1(a2450)
    | ~ spl0_16
    | ~ spl0_66 ),
    inference(resolution,[],[f296,f522]) ).

fof(f2043,plain,
    ( ~ spl0_161
    | ~ spl0_67
    | ~ spl0_16
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2042,f521,f295,f526,f1001]) ).

fof(f2044,plain,
    ( ~ spl0_70
    | ~ spl0_174
    | ~ spl0_16
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2041,f535,f295,f1448,f540]) ).

fof(f2045,plain,
    ( ~ spl0_73
    | ~ spl0_74
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2040,f549,f295,f558,f554]) ).

fof(f2046,plain,
    ( ~ spl0_89
    | ~ spl0_163
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2039,f624,f295,f1030,f628]) ).

fof(f2047,plain,
    ( ~ spl0_168
    | ~ spl0_101
    | ~ spl0_16
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2037,f680,f295,f684,f1222]) ).

fof(f2048,plain,
    ( ~ c0_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_20
    | ~ spl0_157 ),
    inference(resolution,[],[f310,f947]) ).

fof(f2057,plain,
    ( ~ c0_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_20
    | ~ spl0_69 ),
    inference(resolution,[],[f310,f536]) ).

fof(f2060,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_20
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2057,f535,f309,f544,f540]) ).

fof(f2063,plain,
    ( ~ spl0_178
    | ~ spl0_158
    | ~ spl0_20
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2048,f946,f309,f950,f1495]) ).

fof(f2069,plain,
    ( ~ spl0_163
    | spl0_87
    | ~ spl0_48
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1197,f624,f427,f619,f1030]) ).

fof(f2070,plain,
    ( ~ spl0_143
    | spl0_164
    | ~ spl0_60
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1380,f876,f487,f1051,f880]) ).

fof(f2084,plain,
    ( ~ c2_1(a2409)
    | ~ c1_1(a2409)
    | ~ spl0_25
    | ~ spl0_71 ),
    inference(resolution,[],[f327,f545]) ).

fof(f2087,plain,
    ( ~ spl0_174
    | ~ spl0_70
    | ~ spl0_25
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2084,f544,f326,f540,f1448]) ).

fof(f2091,plain,
    ( ~ c1_1(a2403)
    | ~ c0_1(a2403)
    | ~ spl0_29
    | spl0_153 ),
    inference(resolution,[],[f342,f928]) ).

fof(f2102,plain,
    ( ~ spl0_181
    | ~ spl0_155
    | ~ spl0_29
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2091,f927,f341,f936,f1645]) ).

fof(f2105,plain,
    ( ~ c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_36
    | spl0_153 ),
    inference(resolution,[],[f371,f928]) ).

fof(f2106,plain,
    ( ~ c0_1(a2404)
    | c2_1(a2404)
    | ~ spl0_36
    | spl0_150 ),
    inference(resolution,[],[f371,f914]) ).

fof(f2109,plain,
    ( ~ c0_1(a2414)
    | c2_1(a2414)
    | ~ spl0_36
    | spl0_126 ),
    inference(resolution,[],[f371,f802]) ).

fof(f2114,plain,
    ( spl0_167
    | ~ spl0_128
    | ~ spl0_36
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2109,f801,f370,f810,f1172]) ).

fof(f2115,plain,
    ( spl0_151
    | ~ spl0_177
    | ~ spl0_36
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2106,f913,f370,f1485,f918]) ).

fof(f2116,plain,
    ( spl0_154
    | ~ spl0_181
    | ~ spl0_36
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2105,f927,f370,f1645,f932]) ).

fof(f2123,plain,
    ( c0_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_48
    | ~ spl0_112 ),
    inference(resolution,[],[f428,f737]) ).

fof(f2125,plain,
    ( c0_1(a2432)
    | ~ c1_1(a2432)
    | ~ spl0_48
    | ~ spl0_100 ),
    inference(resolution,[],[f428,f681]) ).

fof(f2126,plain,
    ( c0_1(a2435)
    | ~ c1_1(a2435)
    | ~ spl0_48
    | ~ spl0_98 ),
    inference(resolution,[],[f428,f671]) ).

fof(f2130,plain,
    ( ~ spl0_172
    | spl0_97
    | ~ spl0_48
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2126,f670,f427,f666,f1316]) ).

fof(f2131,plain,
    ( ~ spl0_101
    | spl0_99
    | ~ spl0_48
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2125,f680,f427,f675,f684]) ).

fof(f2133,plain,
    ( ~ spl0_113
    | spl0_182
    | ~ spl0_48
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2123,f736,f427,f1679,f740]) ).

fof(f2138,plain,
    ( ~ c2_1(a2418)
    | ~ c1_1(a2418)
    | ~ spl0_50
    | spl0_117 ),
    inference(resolution,[],[f439,f760]) ).

fof(f2146,plain,
    ( ~ spl0_119
    | ~ spl0_118
    | ~ spl0_50
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2138,f759,f438,f764,f768]) ).

fof(f2150,plain,
    ( ~ c1_1(a2403)
    | c0_1(a2403)
    | ~ spl0_52
    | spl0_153 ),
    inference(resolution,[],[f447,f928]) ).

fof(f2160,plain,
    ( spl0_181
    | ~ spl0_155
    | ~ spl0_52
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2150,f927,f446,f936,f1645]) ).

fof(f2162,plain,
    ( ~ c1_1(a2412)
    | c2_1(a2412)
    | ~ spl0_54
    | spl0_133 ),
    inference(resolution,[],[f456,f835]) ).

fof(f2173,plain,
    ( spl0_132
    | ~ spl0_134
    | ~ spl0_54
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2162,f834,f455,f838,f829]) ).

fof(f2177,plain,
    ( c1_1(a2402)
    | ~ c0_1(a2402)
    | ~ spl0_60
    | ~ spl0_157 ),
    inference(resolution,[],[f488,f947]) ).

fof(f2192,plain,
    ( ~ spl0_158
    | spl0_156
    | ~ spl0_60
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2177,f946,f487,f941,f950]) ).

fof(f2199,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_43
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1101,f796,f402,f792,f787]) ).

fof(f2223,plain,
    ( c1_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_37
    | ~ spl0_157 ),
    inference(resolution,[],[f375,f947]) ).

fof(f2227,plain,
    ( c1_1(a2427)
    | ~ c2_1(a2427)
    | ~ spl0_37
    | ~ spl0_106 ),
    inference(resolution,[],[f375,f709]) ).

fof(f2229,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_37
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2227,f708,f374,f703,f712]) ).

fof(f2230,plain,
    ( ~ spl0_178
    | spl0_156
    | ~ spl0_37
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2223,f946,f374,f941,f1495]) ).

fof(f2231,plain,
    ( c1_1(a2402)
    | c2_1(a2402)
    | ~ spl0_43
    | ~ spl0_157 ),
    inference(resolution,[],[f403,f947]) ).

fof(f2238,plain,
    ( spl0_178
    | spl0_156
    | ~ spl0_43
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2231,f946,f402,f941,f1495]) ).

fof(f2258,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_57 ),
    inference(resolution,[],[f470,f403]) ).

fof(f2263,plain,
    ( c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_57
    | spl0_153 ),
    inference(resolution,[],[f470,f928]) ).

fof(f2264,plain,
    ( c0_1(a2404)
    | c2_1(a2404)
    | ~ spl0_57
    | spl0_150 ),
    inference(resolution,[],[f470,f914]) ).

fof(f2277,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2258]) ).

fof(f2279,plain,
    ( spl0_151
    | spl0_177
    | ~ spl0_57
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2264,f913,f469,f1485,f918]) ).

fof(f2280,plain,
    ( spl0_154
    | spl0_181
    | ~ spl0_57
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2263,f927,f469,f1645,f932]) ).

fof(f2281,plain,
    ( spl0_62
    | ~ spl0_43
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2277,f469,f402,f498]) ).

fof(f2293,plain,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ spl0_62
    | spl0_121 ),
    inference(resolution,[],[f499,f779]) ).

fof(f2300,plain,
    ( spl0_120
    | spl0_171
    | ~ spl0_62
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2293,f778,f498,f1297,f773]) ).

fof(f2305,plain,
    ( ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ spl0_50
    | spl0_173 ),
    inference(resolution,[],[f1418,f439]) ).

fof(f2306,plain,
    ( ~ spl0_74
    | ~ spl0_73
    | ~ spl0_50
    | spl0_173 ),
    inference(avatar_split_clause,[],[f2305,f1417,f438,f554,f558]) ).

fof(f2313,plain,
    ( ~ c1_1(a2403)
    | c2_1(a2403)
    | ~ spl0_54
    | spl0_181 ),
    inference(resolution,[],[f1646,f456]) ).

fof(f2316,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_54
    | spl0_181 ),
    inference(avatar_split_clause,[],[f2313,f1645,f455,f936,f932]) ).

fof(f2326,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_25
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(resolution,[],[f1210,f751]) ).

fof(f2340,plain,
    ( ~ spl0_116
    | ~ spl0_25
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2326,f750,f438,f326,f754]) ).

fof(f2346,plain,
    ( ~ spl0_113
    | ~ spl0_182
    | ~ spl0_23
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1663,f736,f319,f1679,f740]) ).

fof(f2354,plain,
    ( spl0_141
    | ~ spl0_164
    | ~ spl0_32
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1548,f880,f353,f1051,f871]) ).

fof(f2356,plain,
    ( spl0_172
    | spl0_96
    | ~ spl0_62
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1426,f666,f498,f661,f1316]) ).

fof(f2359,plain,
    ( spl0_96
    | spl0_172
    | ~ spl0_43
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1945,f670,f402,f1316,f661]) ).

fof(f2360,plain,
    ( ~ spl0_168
    | spl0_99
    | ~ spl0_46
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1217,f680,f417,f675,f1222]) ).

fof(f2364,plain,
    ( c2_1(a2453)
    | c1_1(a2453)
    | ~ spl0_62
    | spl0_92 ),
    inference(resolution,[],[f643,f499]) ).

fof(f2368,plain,
    ( spl0_91
    | spl0_90
    | ~ spl0_62
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2364,f642,f498,f633,f638]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s5,plain,
    ( spl0_5
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s8,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f304]) ).

cnf(s9,plain,
    ( spl0_7
    | ~ spl0_15
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s10,plain,
    ( ~ spl0_15
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s12,plain,
    ( ~ spl0_15
    | spl0_21
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s13,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_25
    | spl0_28 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s15,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s18,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_15
    | spl0_32 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s19,plain,
    ( spl0_6
    | ~ spl0_15
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s22,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_15
    | spl0_36 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s24,plain,
    ( spl0_9
    | ~ spl0_15
    | spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s25,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s26,plain,
    ( ~ spl0_15
    | spl0_20
    | spl0_34
    | spl0_38 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s27,plain,
    ( ~ spl0_15
    | spl0_39
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s28,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_17
    | spl0_41 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s29,plain,
    ( ~ spl0_15
    | spl0_22
    | spl0_29
    | spl0_41 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s30,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_35
    | spl0_41 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s31,plain,
    ( spl0_8
    | ~ spl0_15
    | spl0_38
    | spl0_41 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s32,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_29
    | spl0_42 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s34,plain,
    ( ~ spl0_15
    | spl0_21
    | spl0_34
    | spl0_43 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s35,plain,
    ( ~ spl0_15
    | spl0_33
    | spl0_37
    | spl0_43 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s36,plain,
    ( spl0_6
    | ~ spl0_15
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s37,plain,
    ( spl0_11
    | ~ spl0_15
    | spl0_18
    | spl0_45 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s39,plain,
    ( spl0_14
    | ~ spl0_15
    | spl0_46 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s40,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s41,plain,
    ( ~ spl0_15
    | spl0_18
    | spl0_26
    | spl0_46 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s42,plain,
    ( ~ spl0_15
    | spl0_35
    | spl0_37
    | spl0_46 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_19
    | spl0_48 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s44,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s45,plain,
    ( ~ spl0_15
    | spl0_18
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s46,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_28
    | spl0_48 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s47,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_31
    | spl0_48 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s48,plain,
    ( spl0_9
    | ~ spl0_15
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s49,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_42
    | spl0_50 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s50,plain,
    ( ~ spl0_15
    | spl0_43
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s53,plain,
    ( spl0_7
    | ~ spl0_15
    | spl0_49
    | spl0_54 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s55,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s57,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_45
    | spl0_54 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s58,plain,
    ( ~ spl0_15
    | spl0_22
    | spl0_33
    | spl0_57 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s59,plain,
    ( ~ spl0_15
    | spl0_33
    | spl0_55
    | spl0_57 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s60,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_50
    | spl0_57 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s61,plain,
    ( ~ spl0_15
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s63,plain,
    ( ~ spl0_15
    | spl0_30
    | spl0_37
    | spl0_58 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s64,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s66,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_26
    | spl0_59 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s67,plain,
    ( ~ spl0_15
    | spl0_56
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s68,plain,
    ( spl0_6
    | ~ spl0_15
    | spl0_46
    | spl0_59 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s69,plain,
    ( ~ spl0_15
    | spl0_48
    | spl0_51
    | spl0_59 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s71,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_35
    | spl0_61 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s72,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_34
    | spl0_62 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s73,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_36
    | spl0_62 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s74,plain,
    ( ~ spl0_15
    | spl0_33
    | spl0_37
    | spl0_62 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s75,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_58
    | spl0_62 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s76,plain,
    ( ~ spl0_15
    | spl0_38
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s81,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s82,plain,
    ( ~ spl0_11
    | spl0_67 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s83,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s85,plain,
    ( ~ spl0_56
    | spl0_69 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s86,plain,
    ( ~ spl0_56
    | spl0_70 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s87,plain,
    ( ~ spl0_56
    | spl0_71 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s89,plain,
    ( ~ spl0_47
    | spl0_72 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s90,plain,
    ( ~ spl0_47
    | spl0_73 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s91,plain,
    ( ~ spl0_47
    | spl0_74 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s97,plain,
    ( ~ spl0_10
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s98,plain,
    ( ~ spl0_10
    | spl0_79 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s99,plain,
    ( ~ spl0_10
    | spl0_80 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s102,plain,
    ( ~ spl0_4
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s103,plain,
    ( ~ spl0_4
    | spl0_83 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s109,plain,
    ( ~ spl0_21
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s110,plain,
    ( ~ spl0_21
    | spl0_88 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s111,plain,
    ( ~ spl0_21
    | spl0_89 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s113,plain,
    ( ~ spl0_44
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s114,plain,
    ( ~ spl0_44
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s115,plain,
    ( ~ spl0_44
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s117,plain,
    ( ~ spl0_18
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s118,plain,
    ( ~ spl0_18
    | spl0_94 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s119,plain,
    ( ~ spl0_18
    | spl0_95 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s121,plain,
    ( ~ spl0_19
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s122,plain,
    ( ~ spl0_19
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s123,plain,
    ( ~ spl0_19
    | spl0_98 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s125,plain,
    ( ~ spl0_5
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s126,plain,
    ( ~ spl0_5
    | spl0_100 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s127,plain,
    ( ~ spl0_5
    | spl0_101 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s129,plain,
    ( ~ spl0_7
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s130,plain,
    ( ~ spl0_7
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s131,plain,
    ( ~ spl0_7
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s133,plain,
    ( ~ spl0_49
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s134,plain,
    ( ~ spl0_49
    | spl0_106 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s135,plain,
    ( ~ spl0_49
    | spl0_107 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s137,plain,
    ( ~ spl0_40
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s138,plain,
    ( ~ spl0_40
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s139,plain,
    ( ~ spl0_40
    | spl0_110 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s141,plain,
    ( ~ spl0_14
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s142,plain,
    ( ~ spl0_14
    | spl0_112 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s143,plain,
    ( ~ spl0_14
    | spl0_113 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s145,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s146,plain,
    ( ~ spl0_22
    | spl0_115 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s147,plain,
    ( ~ spl0_22
    | spl0_116 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s149,plain,
    ( ~ spl0_55
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s150,plain,
    ( ~ spl0_55
    | spl0_118 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s151,plain,
    ( ~ spl0_55
    | spl0_119 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s153,plain,
    ( ~ spl0_39
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s154,plain,
    ( ~ spl0_39
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s155,plain,
    ( ~ spl0_39
    | spl0_122 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s157,plain,
    ( ~ spl0_9
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s158,plain,
    ( ~ spl0_9
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s159,plain,
    ( ~ spl0_9
    | spl0_125 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s161,plain,
    ( ~ spl0_30
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s162,plain,
    ( ~ spl0_30
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s163,plain,
    ( ~ spl0_30
    | spl0_128 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s165,plain,
    ( ~ spl0_2
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s166,plain,
    ( ~ spl0_2
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s167,plain,
    ( ~ spl0_2
    | spl0_131 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s168,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s169,plain,
    ( ~ spl0_3
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s170,plain,
    ( ~ spl0_3
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s171,plain,
    ( ~ spl0_3
    | spl0_134 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s172,plain,
    ( ~ spl0_3
    | spl0_15 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s173,plain,
    ( ~ spl0_1
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s174,plain,
    ( ~ spl0_1
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s175,plain,
    ( ~ spl0_1
    | spl0_137 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s176,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s177,plain,
    ( ~ spl0_26
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s178,plain,
    ( ~ spl0_26
    | spl0_139 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s179,plain,
    ( ~ spl0_26
    | spl0_140 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s181,plain,
    ( ~ spl0_6
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s182,plain,
    ( ~ spl0_6
    | spl0_142 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s183,plain,
    ( ~ spl0_6
    | spl0_143 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s185,plain,
    ( ~ spl0_51
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s186,plain,
    ( ~ spl0_51
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s187,plain,
    ( ~ spl0_51
    | spl0_146 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s189,plain,
    ( ~ spl0_8
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s190,plain,
    ( ~ spl0_8
    | spl0_148 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s191,plain,
    ( ~ spl0_8
    | spl0_149 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s193,plain,
    ( ~ spl0_35
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s194,plain,
    ( ~ spl0_35
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s195,plain,
    ( ~ spl0_35
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s197,plain,
    ( ~ spl0_33
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s198,plain,
    ( ~ spl0_33
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s199,plain,
    ( ~ spl0_33
    | spl0_155 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s201,plain,
    ( ~ spl0_17
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s202,plain,
    ( ~ spl0_17
    | spl0_157 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s203,plain,
    ( ~ spl0_17
    | spl0_158 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s205,plain,
    ( ~ spl0_25
    | ~ spl0_79
    | ~ spl0_80
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s207,plain,
    ( ~ spl0_29
    | spl0_78
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s220,plain,
    ( ~ spl0_29
    | ~ spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s230,plain,
    ( ~ spl0_34
    | spl0_78
    | ~ spl0_79
    | spl0_159 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s235,plain,
    ( ~ spl0_34
    | spl0_108
    | spl0_109
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s239,plain,
    ( ~ spl0_42
    | spl0_108
    | ~ spl0_110
    | spl0_166 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s245,plain,
    ( ~ spl0_34
    | ~ spl0_48
    | spl0_54 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s248,plain,
    ( ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116
    | spl0_165 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s265,plain,
    ( ~ spl0_23
    | spl0_32
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s269,plain,
    ( ~ spl0_54
    | spl0_99
    | ~ spl0_101
    | spl0_168 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s275,plain,
    ( ~ spl0_41
    | ~ spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f1353]) ).

cnf(s276,plain,
    ( ~ spl0_57
    | ~ spl0_58
    | spl0_62 ),
    inference(sat_conversion,[],[f1354]) ).

cnf(s280,plain,
    ( ~ spl0_59
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1374]) ).

cnf(s285,plain,
    ( ~ spl0_37
    | spl0_59
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s300,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f1443]) ).

cnf(s318,plain,
    ( ~ spl0_27
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s333,plain,
    ( ~ spl0_32
    | ~ spl0_79
    | ~ spl0_80
    | spl0_159 ),
    inference(sat_conversion,[],[f1557]) ).

cnf(s334,plain,
    ( ~ spl0_32
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s337,plain,
    ( ~ spl0_36
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s356,plain,
    ( ~ spl0_43
    | spl0_141
    | ~ spl0_142
    | spl0_164 ),
    inference(sat_conversion,[],[f1584]) ).

cnf(s357,plain,
    ( ~ spl0_45
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1585]) ).

cnf(s358,plain,
    ( ~ spl0_45
    | spl0_141
    | ~ spl0_143
    | spl0_164 ),
    inference(sat_conversion,[],[f1586]) ).

cnf(s365,plain,
    ( ~ spl0_58
    | spl0_87
    | ~ spl0_88
    | spl0_163 ),
    inference(sat_conversion,[],[f1593]) ).

cnf(s378,plain,
    ( ~ spl0_23
    | spl0_25
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s396,plain,
    ( ~ spl0_34
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1650]) ).

cnf(s413,plain,
    ( ~ spl0_28
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1718]) ).

cnf(s440,plain,
    ( ~ spl0_20
    | spl0_38
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s444,plain,
    ( ~ spl0_20
    | ~ spl0_28
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s447,plain,
    ( ~ spl0_16
    | spl0_25
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s463,plain,
    ( ~ spl0_38
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s472,plain,
    ( ~ spl0_54
    | spl0_96
    | spl0_97
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1791]) ).

cnf(s474,plain,
    ( ~ spl0_36
    | spl0_78
    | ~ spl0_80
    | spl0_159 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s490,plain,
    ( ~ spl0_20
    | spl0_38
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s504,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s506,plain,
    ( ~ spl0_57
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s512,plain,
    ( ~ spl0_59
    | spl0_87
    | ~ spl0_89
    | spl0_163 ),
    inference(sat_conversion,[],[f1826]) ).

cnf(s513,plain,
    ( ~ spl0_59
    | spl0_82
    | ~ spl0_83
    | spl0_160 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s519,plain,
    ( ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89
    | spl0_163 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s527,plain,
    ( ~ spl0_28
    | spl0_114
    | ~ spl0_115
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s531,plain,
    ( ~ spl0_37
    | ~ spl0_69
    | ~ spl0_70
    | spl0_174 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s532,plain,
    ( ~ spl0_37
    | spl0_120
    | ~ spl0_122
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s535,plain,
    ( ~ spl0_38
    | ~ spl0_70
    | ~ spl0_71
    | spl0_174 ),
    inference(sat_conversion,[],[f1893]) ).

cnf(s536,plain,
    ( ~ spl0_38
    | spl0_127
    | ~ spl0_128
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1894]) ).

cnf(s540,plain,
    ( ~ spl0_41
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s551,plain,
    ( ~ spl0_42
    | spl0_150
    | spl0_152
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1933]) ).

cnf(s560,plain,
    ( ~ spl0_31
    | ~ spl0_66
    | ~ spl0_67
    | spl0_161 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s562,plain,
    ( ~ spl0_31
    | spl0_141
    | ~ spl0_142
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s564,plain,
    ( ~ spl0_31
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s565,plain,
    ( ~ spl0_31
    | ~ spl0_100
    | ~ spl0_101
    | spl0_168 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s569,plain,
    ( ~ spl0_46
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s576,plain,
    ( ~ spl0_42
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s583,plain,
    ( ~ spl0_20
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s590,plain,
    ( ~ spl0_23
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1995]) ).

cnf(s595,plain,
    ( ~ spl0_23
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s621,plain,
    ( ~ spl0_50
    | spl0_87
    | ~ spl0_89
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s622,plain,
    ( ~ spl0_50
    | spl0_82
    | ~ spl0_83
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2027]) ).

cnf(s626,plain,
    ( ~ spl0_16
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s627,plain,
    ( ~ spl0_16
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s628,plain,
    ( ~ spl0_16
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s629,plain,
    ( ~ spl0_16
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s630,plain,
    ( ~ spl0_16
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2047]) ).

cnf(s632,plain,
    ( ~ spl0_20
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2060]) ).

cnf(s634,plain,
    ( ~ spl0_20
    | ~ spl0_157
    | ~ spl0_158
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2063]) ).

cnf(s640,plain,
    ( ~ spl0_48
    | spl0_87
    | ~ spl0_88
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s641,plain,
    ( ~ spl0_60
    | ~ spl0_142
    | ~ spl0_143
    | spl0_164 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s648,plain,
    ( ~ spl0_25
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s651,plain,
    ( ~ spl0_29
    | spl0_153
    | ~ spl0_155
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2102]) ).

cnf(s652,plain,
    ( ~ spl0_36
    | spl0_126
    | ~ spl0_128
    | spl0_167 ),
    inference(sat_conversion,[],[f2114]) ).

cnf(s653,plain,
    ( ~ spl0_36
    | spl0_150
    | spl0_151
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2115]) ).

cnf(s654,plain,
    ( ~ spl0_36
    | spl0_153
    | spl0_154
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2116]) ).

cnf(s655,plain,
    ( ~ spl0_48
    | spl0_97
    | ~ spl0_98
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s656,plain,
    ( ~ spl0_48
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s657,plain,
    ( ~ spl0_48
    | ~ spl0_112
    | ~ spl0_113
    | spl0_182 ),
    inference(sat_conversion,[],[f2133]) ).

cnf(s658,plain,
    ( ~ spl0_50
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s659,plain,
    ( ~ spl0_52
    | spl0_153
    | ~ spl0_155
    | spl0_181 ),
    inference(sat_conversion,[],[f2160]) ).

cnf(s660,plain,
    ( ~ spl0_54
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s665,plain,
    ( ~ spl0_60
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s672,plain,
    ( ~ spl0_43
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s696,plain,
    ( ~ spl0_37
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2229]) ).

cnf(s697,plain,
    ( ~ spl0_37
    | spl0_156
    | ~ spl0_157
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2230]) ).

cnf(s699,plain,
    ( ~ spl0_43
    | spl0_156
    | ~ spl0_157
    | spl0_178 ),
    inference(sat_conversion,[],[f2238]) ).

cnf(s704,plain,
    ( ~ spl0_57
    | spl0_150
    | spl0_151
    | spl0_177 ),
    inference(sat_conversion,[],[f2279]) ).

cnf(s705,plain,
    ( ~ spl0_57
    | spl0_153
    | spl0_154
    | spl0_181 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s706,plain,
    ( ~ spl0_43
    | ~ spl0_57
    | spl0_62 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s709,plain,
    ( ~ spl0_62
    | spl0_120
    | spl0_121
    | spl0_171 ),
    inference(sat_conversion,[],[f2300]) ).

cnf(s711,plain,
    ( ~ spl0_50
    | ~ spl0_73
    | ~ spl0_74
    | spl0_173 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s713,plain,
    ( ~ spl0_54
    | spl0_154
    | ~ spl0_155
    | spl0_181 ),
    inference(sat_conversion,[],[f2316]) ).

cnf(s718,plain,
    ( ~ spl0_25
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2340]) ).

cnf(s725,plain,
    ( ~ spl0_23
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s733,plain,
    ( ~ spl0_32
    | spl0_141
    | ~ spl0_143
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2354]) ).

cnf(s735,plain,
    ( ~ spl0_62
    | spl0_96
    | spl0_97
    | spl0_172 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s738,plain,
    ( ~ spl0_43
    | spl0_96
    | ~ spl0_98
    | spl0_172 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s739,plain,
    ( ~ spl0_46
    | spl0_99
    | ~ spl0_100
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s740,plain,
    ( ~ spl0_62
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f2368]) ).

cnf(s742,plain,
    ( ~ spl0_18
    | ~ spl0_38 ),
    inference(rat,[],[s463,s117,s118,s119]) ).

cnf(s743,plain,
    ( ~ spl0_26
    | ~ spl0_32 ),
    inference(rat,[],[s334,s177,s178,s179]) ).

cnf(s745,plain,
    ( ~ spl0_34
    | spl0_54
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s396,s197,s198,s199,s44,s245]) ).

cnf(s746,plain,
    ( spl0_38
    | ~ spl0_43
    | spl0_34
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s699,s634,s201,s202,s203,s28,s440,s26]) ).

cnf(s749,plain,
    ( ~ spl0_5
    | ~ spl0_48 ),
    inference(rat,[],[s656,s125,s126,s127]) ).

cnf(s750,plain,
    ( ~ spl0_6
    | ~ spl0_43
    | ~ spl0_32 ),
    inference(rat,[],[s356,s733,s181,s182,s183]) ).

cnf(s753,plain,
    ( ~ spl0_18
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s583,s711,s89,s90,s91,s40,s49,s569,s749,s109,s110,s111,s46,s34,s444,s490,s746,s26,s742,s118,s119,s745,s660,s169,s170,s171,s172,s1]) ).

cnf(s754,plain,
    ( ~ spl0_57
    | spl0_150
    | spl0_151
    | spl0_152
    | spl0_153
    | spl0_154
    | ~ spl0_155
    | spl0_16
    | ~ spl0_15 ),
    inference(rat,[],[s32,s551,s651,s704,s705]) ).

cnf(s755,plain,
    ( spl0_57
    | spl0_16
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_15 ),
    inference(rat,[],[s365,s621,s64,s60,s564,s141,s142,s143,s39,s569]) ).

cnf(s756,plain,
    ( spl0_48
    | ~ spl0_21
    | spl0_18
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s754,s193,s194,s195,s42,s696,s133,s134,s135,s197,s198,s199,s45,s44,s755,s628,s89,s90,s91,s40,s569,s109,s110,s111]) ).

cnf(s757,plain,
    ( ~ spl0_21
    | ~ spl0_38
    | spl0_18
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s652,s536,s161,s162,s163,s25,s63,s725,s519,s365,s657,s640,s756,s142,s143,s39,s569,s109,s110,s111]) ).

cnf(s758,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(rat,[],[s672,s157,s158,s159]) ).

cnf(s759,plain,
    ( ~ spl0_49
    | ~ spl0_37 ),
    inference(rat,[],[s696,s133,s134,s135]) ).

cnf(s760,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(rat,[],[s699,s697,s201,s202]) ).

cnf(s761,plain,
    ( ~ spl0_38
    | spl0_18
    | spl0_54
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s627,s535,s85,s86,s87,s8,s55,s760,s24,s758,s34,s757,s745]) ).

cnf(s762,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s583,s711,s89,s90,s91,s49,s40,s749,s569,s756,s109,s110,s111,s34,s490,s746,s26,s761,s753,s745,s660,s169,s170,s171,s172,s1]) ).

cnf(s763,plain,
    ( ~ spl0_51
    | ~ spl0_45 ),
    inference(rat,[],[s357,s185,s186,s187]) ).

cnf(s764,plain,
    ( ~ spl0_45
    | ~ spl0_21
    | spl0_43
    | ~ spl0_2 ),
    inference(rat,[],[s659,s654,s197,s198,s199,s25,s35,s519,s640,s69,s50,s763,s595,s358,s183,s182,s181,s68,s569,s109,s110,s111,s280,s165,s166,s167,s168]) ).

cnf(s765,plain,
    ( ~ spl0_3
    | ~ spl0_54 ),
    inference(rat,[],[s660,s169,s170,s171]) ).

cnf(s766,plain,
    ( ~ spl0_19
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(rat,[],[s735,s472,s121,s122]) ).

cnf(s767,plain,
    ( spl0_34
    | spl0_43
    | spl0_1 ),
    inference(rat,[],[s654,s25,s725,s713,s197,s198,s199,s35,s519,s657,s640,s43,s766,s57,s764,s72,s564,s141,s142,s143,s39,s569,s109,s110,s111,s34,s743,s66,s280,s165,s166,s167,s168,s762]) ).

cnf(s768,plain,
    ( spl0_54
    | ~ spl0_34
    | spl0_1 ),
    inference(rat,[],[s69,s763,s245,s57,s743,s66,s280,s165,s166,s167,s168,s762]) ).

cnf(s769,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(rat,[],[s396,s197,s198,s199]) ).

cnf(s770,plain,
    ( spl0_48
    | ~ spl0_37
    | spl0_1 ),
    inference(rat,[],[s742,s300,s45,s46,s168,s762,s759]) ).

cnf(s771,plain,
    ( ~ spl0_21
    | ~ spl0_48
    | ~ spl0_37 ),
    inference(rat,[],[s640,s519,s109,s110,s111]) ).

cnf(s773,plain,
    ( spl0_57
    | spl0_31
    | spl0_33
    | ~ spl0_15 ),
    inference(rat,[],[s658,s149,s150,s151,s59,s60]) ).

cnf(s775,plain,
    ( ~ spl0_7
    | ~ spl0_57 ),
    inference(rat,[],[s506,s129,s130,s131]) ).

cnf(s776,plain,
    ( ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s632,s85,s86,s87]) ).

cnf(s777,plain,
    ( ~ spl0_17
    | ~ spl0_60 ),
    inference(rat,[],[s665,s201,s202,s203]) ).

cnf(s778,plain,
    ( ~ spl0_39
    | ~ spl0_62
    | ~ spl0_37 ),
    inference(rat,[],[s532,s709,s153,s154,s155]) ).

cnf(s779,plain,
    ( ~ spl0_62
    | ~ spl0_57
    | spl0_43
    | spl0_1 ),
    inference(rat,[],[s13,s527,s718,s248,s49,s551,s704,s193,s194,s195,s30,s275,s61,s778,s766,s768,s749,s147,s146,s145,s10,s771,s770,s35,s769,s265,s767,s743,s66,s280,s165,s166,s167,s168,s762]) ).

cnf(s780,plain,
    ( spl0_31
    | ~ spl0_38
    | spl0_43
    | spl0_1 ),
    inference(rat,[],[s704,s653,s193,s194,s71,s648,s535,s86,s87,s67,s777,s75,s276,s73,s779,s773,s285,s35,s769,s767,s168,s280,s165,s166,s167,s762]) ).

cnf(s781,plain,
    ( spl0_16
    | spl0_29
    | ~ spl0_15 ),
    inference(rat,[],[s576,s161,s162,s163,s15,s32]) ).

cnf(s782,plain,
    ( ~ spl0_38
    | spl0_43
    | spl0_1 ),
    inference(rat,[],[s781,s627,s535,s85,s86,s87,s67,s641,s220,s562,s780,s183,s182,s181,s19,s769,s767,s743,s66,s280,s165,s166,s167,s168,s762]) ).

cnf(s783,plain,
    ( spl0_43
    | spl0_1 ),
    inference(rat,[],[s718,s13,s49,s766,s504,s300,s76,s782,s146,s147,s10,s771,s749,s770,s35,s769,s768,s265,s767,s743,s66,s280,s165,s166,s167,s168,s762]) ).

cnf(s784,plain,
    ( ~ spl0_34
    | spl0_1 ),
    inference(rat,[],[s766,s706,s13,s447,s773,s781,s205,s562,s207,s230,s356,s97,s98,s99,s181,s182,s4,s19,s765,s769,s768,s743,s66,s280,s165,s166,s167,s168,s762,s758,s783]) ).

cnf(s785,plain,
    ( ~ spl0_37
    | spl0_19
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s13,s527,s718,s248,s145,s146,s147,s10,s48,s771,s778,s758,s595,s183,s72,s562,s356,s783,s182,s181,s784,s43,s168,s762]) ).

cnf(s786,plain,
    ( ~ spl0_54
    | spl0_33
    | spl0_1 ),
    inference(rat,[],[s13,s444,s205,s118,s119,s474,s24,s25,s785,s97,s98,s99,s9,s4,s766,s765,s758,s595,s183,s72,s784,s775,s773,s562,s356,s783,s182,s181,s19,s743,s66,s280,s165,s166,s167,s168,s762]) ).

cnf(s787,plain,
    ( spl0_33
    | spl0_1 ),
    inference(rat,[],[s777,s55,s67,s776,s26,s742,s24,s759,s53,s786,s775,s773,s562,s356,s181,s182,s19,s743,s66,s280,s165,s166,s167,s168,s762,s758,s783,s784]) ).

cnf(s788,plain,
    ( ~ spl0_37
    | spl0_36
    | spl0_1 ),
    inference(rat,[],[s738,s655,s121,s122,s123,s785,s22,s749,s770,s168,s762,s783]) ).

cnf(s789,plain,
    ( ~ spl0_54
    | spl0_1 ),
    inference(rat,[],[s49,s718,s749,s146,s147,s13,s46,s29,s766,s444,s440,s490,s76,s26,s742,s118,s119,s24,s788,s651,s654,s713,s168,s280,s165,s166,s167,s762,s758,s783,s784,s199,s198,s197,s787]) ).

cnf(s790,plain,
    ( ~ spl0_37
    | spl0_1 ),
    inference(rat,[],[s8,s742,s627,s26,s531,s776,s85,s86,s55,s760,s168,s762,s783,s784,s789]) ).

cnf(s791,plain,
    spl0_1,
    inference(rat,[],[s777,s55,s67,s776,s26,s742,s24,s790,s789,s784,s758,s783,s280,s165,s166,s167,s168,s762]) ).

cnf(s792,plain,
    spl0_15,
    inference(rat,[],[s176,s791]) ).

cnf(s793,plain,
    spl0_137,
    inference(rat,[],[s175,s791]) ).

cnf(s794,plain,
    ~ spl0_136,
    inference(rat,[],[s174,s791]) ).

cnf(s795,plain,
    ~ spl0_135,
    inference(rat,[],[s173,s791]) ).

cnf(s796,plain,
    ~ spl0_41,
    inference(rat,[],[s540,s793,s794,s795]) ).

cnf(s797,plain,
    ( ~ spl0_48
    | spl0_23
    | spl0_42
    | spl0_19
    | ~ spl0_37 ),
    inference(rat,[],[s527,s13,s248,s718,s145,s146,s147,s10,s49,s771,s749,s792]) ).

cnf(s798,plain,
    ( spl0_32
    | spl0_42
    | spl0_19
    | spl0_59
    | ~ spl0_37
    | ~ spl0_34 ),
    inference(rat,[],[s531,s648,s85,s86,s87,s13,s67,s300,s641,s742,s562,s45,s47,s797,s181,s182,s183,s19,s265,s769,s759,s792]) ).

cnf(s799,plain,
    ( ~ spl0_48
    | ~ spl0_32
    | spl0_42
    | spl0_36
    | spl0_19
    | spl0_59
    | ~ spl0_37 ),
    inference(rat,[],[s531,s648,s85,s86,s87,s67,s641,s733,s378,s181,s182,s183,s12,s22,s797,s771,s749,s743,s792]) ).

cnf(s800,plain,
    ( ~ spl0_22
    | ~ spl0_27 ),
    inference(rat,[],[s318,s145,s146,s147]) ).

cnf(s801,plain,
    ( ~ spl0_6
    | ~ spl0_60
    | ~ spl0_32 ),
    inference(rat,[],[s641,s733,s181,s182,s183]) ).

cnf(s802,plain,
    ( spl0_6
    | ~ spl0_31
    | spl0_36
    | spl0_59 ),
    inference(rat,[],[s739,s565,s125,s126,s127,s68,s22,s792]) ).

cnf(s803,plain,
    ( ~ spl0_62
    | spl0_59
    | ~ spl0_37
    | ~ spl0_34
    | ~ spl0_54 ),
    inference(rat,[],[s531,s648,s85,s86,s87,s67,s801,s802,s13,s300,s742,s45,s47,s799,s798,s239,s235,s337,s137,s138,s139,s27,s778,s766,s759,s792,s796]) ).

cnf(s804,plain,
    ( ~ spl0_31
    | spl0_141
    | ~ spl0_142
    | ~ spl0_143
    | spl0_32
    | ~ spl0_38
    | spl0_59 ),
    inference(rat,[],[s627,s535,s85,s86,s87,s67,s641,s781,s562,s220,s792]) ).

cnf(s805,plain,
    ( spl0_32
    | spl0_62
    | spl0_59
    | spl0_33 ),
    inference(rat,[],[s653,s704,s73,s773,s804,s181,s182,s183,s193,s194,s19,s30,s76,s792,s796]) ).

cnf(s806,plain,
    ( spl0_59
    | ~ spl0_37
    | ~ spl0_34
    | ~ spl0_54 ),
    inference(rat,[],[s648,s535,s86,s87,s67,s777,s75,s276,s378,s58,s10,s800,s12,s743,s805,s771,s45,s742,s76,s803,s769,s759,s792]) ).

cnf(s807,plain,
    ( ~ spl0_2
    | ~ spl0_59 ),
    inference(rat,[],[s280,s165,s166,s167]) ).

cnf(s808,plain,
    ( spl0_32
    | ~ spl0_59
    | ~ spl0_37
    | spl0_33 ),
    inference(rat,[],[s626,s560,s81,s82,s37,s358,s781,s562,s220,s773,s704,s742,s551,s504,s49,s622,s513,s102,s103,s18,s181,s182,s183,s193,s194,s195,s19,s30,s749,s44,s807,s792,s796]) ).

cnf(s809,plain,
    ( ~ spl0_11
    | ~ spl0_23 ),
    inference(rat,[],[s590,s81,s82,s83]) ).

cnf(s810,plain,
    ( ~ spl0_34
    | ~ spl0_54
    | spl0_43 ),
    inference(rat,[],[s205,s333,s98,s99,s5,s809,s378,s10,s800,s12,s743,s808,s771,s749,s44,s807,s806,s35,s769,s792]) ).

cnf(s811,plain,
    ( ~ spl0_54
    | spl0_43 ),
    inference(rat,[],[s654,s713,s25,s197,s198,s199,s725,s35,s657,s771,s47,s766,s72,s564,s141,s142,s143,s39,s569,s109,s110,s111,s34,s810,s792]) ).

cnf(s812,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | spl0_54 ),
    inference(rat,[],[s629,s755,s365,s109,s110,s111,s61,s12,s778,s743,s76,s57,s742,s763,s800,s45,s69,s58,s807,s245,s769,s745,s775,s53,s759,s792]) ).

cnf(s813,plain,
    ( ~ spl0_37
    | spl0_43 ),
    inference(rat,[],[s629,s755,s519,s109,s110,s111,s34,s812,s775,s53,s759,s811,s792]) ).

cnf(s814,plain,
    ( ~ spl0_45
    | spl0_43 ),
    inference(rat,[],[s781,s628,s651,s89,s90,s91,s659,s40,s50,s764,s763,s199,s197,s569,s110,s109,s111,s34,s769,s35,s813,s792]) ).

cnf(s815,plain,
    spl0_43,
    inference(rat,[],[s754,s755,s629,s512,s67,s777,s55,s776,s26,s742,s41,s743,s57,s814,s193,s194,s195,s42,s569,s109,s110,s111,s34,s769,s197,s198,s199,s35,s813,s811,s792]) ).

cnf(s816,plain,
    ~ spl0_9,
    inference(rat,[],[s758,s815]) ).

cnf(s817,plain,
    ( ~ spl0_62
    | ~ spl0_37
    | ~ spl0_54 ),
    inference(rat,[],[s447,s13,s718,s48,s778,s766,s781,s147,s146,s29,s207,s97,s98,s99,s4,s765,s792,s816,s796]) ).

cnf(s818,plain,
    ( ~ spl0_37
    | ~ spl0_54 ),
    inference(rat,[],[s804,s181,s182,s183,s802,s654,s713,s197,s198,s199,s805,s743,s12,s771,s45,s742,s76,s72,s817,s806,s807,s28,s760,s759,s800,s29,s207,s97,s98,s99,s4,s765,s792,s796,s815,s816]) ).

cnf(s819,plain,
    ( ~ spl0_34
    | ~ spl0_54 ),
    inference(rat,[],[s13,s766,s205,s74,s230,s769,s99,s98,s97,s4,s765,s413,s189,s190,s191,s31,s742,s24,s818,s792,s796,s816]) ).

cnf(s820,plain,
    ~ spl0_54,
    inference(rat,[],[s269,s630,s125,s126,s127,s49,s718,s13,s766,s76,s807,s490,s746,s26,s819,s413,s189,s190,s191,s31,s742,s24,s818,s146,s147,s29,s781,s207,s97,s98,s99,s4,s765,s792,s815,s796,s816]) ).

cnf(s821,plain,
    ~ spl0_37,
    inference(rat,[],[s8,s742,s627,s26,s531,s776,s85,s86,s55,s812,s760,s792,s820,s815]) ).

cnf(s822,plain,
    spl0_18,
    inference(rat,[],[s24,s816,s792,s821]) ).

cnf(s826,plain,
    ~ spl0_38,
    inference(rat,[],[s742,s822]) ).

cnf(s832,plain,
    ~ spl0_34,
    inference(rat,[],[s740,s113,s114,s115,s36,s750,s57,s763,s69,s74,s807,s245,s769,s745,s792,s815,s820,s821]) ).

cnf(s833,plain,
    spl0_2,
    inference(rat,[],[s746,s826,s792,s815,s832]) ).

cnf(s834,plain,
    spl0_20,
    inference(rat,[],[s26,s826,s792,s832]) ).

cnf(s838,plain,
    ~ spl0_59,
    inference(rat,[],[s807,s833]) ).

cnf(s839,plain,
    ~ spl0_56,
    inference(rat,[],[s776,s834]) ).

cnf(s842,plain,
    spl0_17,
    inference(rat,[],[s55,s820,s792,s839]) ).

cnf(s843,plain,
    spl0_60,
    inference(rat,[],[s67,s838,s792,s839]) ).

cnf(s847,plain,
    $false,
    inference(rat,[],[s777,s843,s842]) ).

fof(f2369,plain,
    $false,
    inference(avatar_sat_refutation,[],[s847]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN488+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n011.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:16:00 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/1.14  % (3505015)Detected formulas, will run a generic FOF schedule.
% 3.59/1.14  % (3505024)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3579198053:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.14  % (3505024)Instruction limit reached! 
% 3.59/1.14  % (3505024)------------------------------
% 3.59/1.14  % (3505024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.14  % (3505024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.14  % (3505024)CaDiCaL version: 2.1.3
% 3.59/1.14  % (3505024)Termination reason: Instruction limit
% 3.59/1.14  % (3505024)Termination phase: Saturation
% 3.59/1.14  % (3505024)Time elapsed: 0.031 s
% 3.59/1.14  % (3505024)Peak memory usage: 88 MB
% 3.59/1.14  % (3505024)Instructions burned: 122 (million)
% 3.59/1.14  % (3505026)dis-21_1_sil=8000:lcm=predicate:random_seed=2746599951:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.59/1.14  % (3505025)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2172812556:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.14  % (3505020)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3251620567:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.14  % (3505023)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3993808064:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.14  % (3505021)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2038781365:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.14  % (3505022)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2600825823:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.14  % (3505026)First to succeed.
% 3.59/1.14  % (3505026)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3505015"
% 3.59/1.14  % (3505025)Also succeeded, but the first one will report.
% 3.59/1.14  % (3505023)Instruction limit reached! 
% 3.59/1.14  % (3505023)------------------------------
% 3.59/1.14  % (3505023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.14  % (3505023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.14  % (3505023)CaDiCaL version: 2.1.3
% 3.59/1.14  % (3505023)Termination reason: Instruction limit
% 3.59/1.14  % (3505023)Termination phase: Saturation
% 3.59/1.14  % (3505023)Time elapsed: 0.072 s
% 3.59/1.14  % (3505023)Peak memory usage: 90 MB
% 3.59/1.14  % (3505023)Instructions burned: 110 (million)
% 3.59/1.14  % (3505034)lrs+10_1_sil=8000:sp=occurrence:random_seed=2574239282:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.59/1.14  % (3505034)Also succeeded, but the first one will report.
% 3.59/1.14  % (3505035)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3162624088:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.59/1.14  % (3505026)Refutation found. Thanks to Tanya!
% 3.59/1.14  % SZS status Theorem for theBenchmark
% 3.59/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.33  % (3505026)------------------------------
% 3.97/1.33  % (3505026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.33  % (3505026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.33  % (3505026)CaDiCaL version: 2.1.3
% 3.97/1.33  % (3505026)Termination reason: Refutation
% 3.97/1.33  % (3505026)Time elapsed: 0.042 s
% 3.97/1.33  % (3505026)Peak memory usage: 90 MB
% 3.97/1.33  % (3505026)Instructions burned: 69 (million)
% 3.97/1.33  % (3505026)------------------------------
% 3.97/1.33  % (3505026)------------------------------
% 3.97/1.33  % (3505015)Success in time 0.477 s
% 3.97/1.33  % Vampire exiting
%------------------------------------------------------------------------------