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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN489+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:57:44 PM UTC 2026

% Result   : Theorem 3.06s 1.10s
% Output   : Refutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  163
% Syntax   : Number of formulae    : 1068 (  24 unt; 162 def)
%            Number of atoms       : 7408 (   0 equ)
%            Maximal formula atoms :  749 (   6 avg)
%            Number of connectives : 9879 (3539   ~;4800   |;1015   &)
%                                         ( 162 <=>; 363  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  200 ( 199 usr; 196 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  864 (   0 sgn 864   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a2516)
          & ~ c1_1(a2516)
          & ~ c2_1(a2516) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a2517)
          & ~ c0_1(a2517)
          & ~ c3_1(a2517) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a2518)
          & ~ c0_1(a2518)
          & ~ c3_1(a2518) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a2519)
          & ~ c2_1(a2519)
          & ~ c3_1(a2519) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a2521)
          & c3_1(a2521)
          & ~ c1_1(a2521) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a2522)
          & c3_1(a2522)
          & ~ c0_1(a2522) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2523)
          & c1_1(a2523)
          & ~ c3_1(a2523) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a2524)
          & c3_1(a2524)
          & ~ c2_1(a2524) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a2525)
          & c2_1(a2525)
          & ~ c3_1(a2525) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a2526)
          & c3_1(a2526)
          & ~ c0_1(a2526) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a2528)
          & ~ c0_1(a2528)
          & ~ c1_1(a2528) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a2531)
          & c2_1(a2531)
          & ~ c3_1(a2531) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c1_1(a2533)
          & ~ c2_1(a2533)
          & ~ c3_1(a2533) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a2534)
          & ~ c0_1(a2534)
          & ~ c2_1(a2534) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a2536)
          & ~ c1_1(a2536)
          & ~ c3_1(a2536) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a2539)
          & ~ c0_1(a2539)
          & ~ c2_1(a2539) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a2540)
          & ~ c2_1(a2540)
          & ~ c3_1(a2540) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a2541)
          & ~ c1_1(a2541)
          & ~ c2_1(a2541) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a2545)
          & c2_1(a2545)
          & ~ c0_1(a2545) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a2548)
          & c3_1(a2548)
          & ~ c1_1(a2548) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a2549)
          & ~ c0_1(a2549)
          & ~ c1_1(a2549) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2551)
          & c1_1(a2551)
          & ~ c2_1(a2551) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a2552)
          & ~ c1_1(a2552)
          & ~ c3_1(a2552) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a2553)
          & ~ c1_1(a2553)
          & ~ c3_1(a2553) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a2555)
          & c2_1(a2555)
          & ~ c1_1(a2555) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a2564)
          & ~ c1_1(a2564)
          & ~ c2_1(a2564) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2601)
          & c3_1(a2601)
          & ~ c2_1(a2601) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a2614)
          & ~ c2_1(a2614)
          & ~ c3_1(a2614) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2529)
          & c2_1(a2529)
          & c3_1(a2529) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a2556)
          & c2_1(a2556)
          & c3_1(a2556) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2558)
          & c1_1(a2558)
          & c2_1(a2558) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a2597)
          & c1_1(a2597)
          & c3_1(a2597) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | ~ c2_1(X1)
              | ~ c3_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | ~ c2_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c3_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | ~ c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c0_1(X8)
              | ~ c2_1(X8) ) )
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c0_1(X11)
              | ~ c2_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp3 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c0_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c0_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c0_1(X21)
              | ~ c1_1(X21) ) )
        | hskp0 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c3_1(X23)
              | ~ c0_1(X23) ) )
        | hskp4 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c1_1(X25)
              | ~ c2_1(X25) ) )
        | hskp5 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | hskp6
        | hskp7 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | c2_1(X28)
              | ~ c0_1(X28) ) )
        | hskp8 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) )
        | hskp9 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c3_1(X32)
              | ~ c1_1(X32) ) )
        | hskp1 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | c3_1(X34)
              | ~ c1_1(X34) ) )
        | hskp10 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | hskp28
        | hskp3 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | hskp11 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c0_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c1_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c3_1(X42) ) )
        | hskp0 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | ~ c0_1(X44)
              | ~ c2_1(X44) ) )
        | hskp12 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | hskp13
        | hskp4 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c0_1(X50)
              | ~ c1_1(X50) ) )
        | hskp14 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | ~ c0_1(X52) ) )
        | hskp13 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | hskp4
        | hskp15 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c2_1(X58) ) )
        | hskp16 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp17 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | hskp15
        | hskp0 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) )
        | hskp14 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | hskp18
        | hskp10 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | hskp14 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | hskp19
        | hskp20 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | hskp7 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c0_1(X76) ) )
        | hskp21
        | hskp22 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | hskp23
        | hskp1 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp24 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) )
        | hskp29 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp2 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | hskp30
        | hskp22 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | hskp29
        | hskp2 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | hskp20
        | hskp14 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c2_1(X90) ) )
        | hskp25
        | hskp3 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | hskp18
        | hskp0 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | hskp21 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c1_1(X95)
              | ~ c2_1(X95) ) )
        | hskp4 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | ~ c2_1(X97) ) )
        | hskp28 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp5
        | hskp22 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | hskp24 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | hskp8
        | hskp7 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | c3_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | hskp21 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c3_1(X105) ) )
        | hskp10 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp19
        | hskp16 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c0_1(X107) ) )
        | hskp9
        | hskp4 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp30
        | hskp9 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) )
        | hskp24
        | hskp25 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c2_1(X111)
              | ~ c3_1(X111) ) )
        | hskp6 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp18 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | hskp29
        | hskp10 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp25
        | hskp20 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c1_1(X116)
              | ~ c2_1(X116) ) )
        | hskp28
        | hskp1 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c2_1(X118)
              | ~ c3_1(X118) ) )
        | hskp3 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | hskp6
        | hskp20 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c2_1(X120)
              | ~ c3_1(X120) ) )
        | hskp31
        | hskp23 )
      & ( hskp30
        | hskp21
        | hskp26 )
      & ( hskp21
        | hskp18
        | hskp1 )
      & ( hskp21
        | hskp2
        | hskp20 )
      & ( hskp6
        | hskp19
        | hskp16 )
      & ( hskp24
        | hskp0 )
      & ( hskp23
        | hskp27 )
      & ( hskp7
        | hskp13
        | hskp12 )
      & ( hskp2
        | hskp27
        | hskp3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a2516)
            & ~ c1_1(a2516)
            & ~ c2_1(a2516) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a2517)
            & ~ c0_1(a2517)
            & ~ c3_1(a2517) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a2518)
            & ~ c0_1(a2518)
            & ~ c3_1(a2518) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a2519)
            & ~ c2_1(a2519)
            & ~ c3_1(a2519) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a2521)
            & c3_1(a2521)
            & ~ c1_1(a2521) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a2522)
            & c3_1(a2522)
            & ~ c0_1(a2522) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2523)
            & c1_1(a2523)
            & ~ c3_1(a2523) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a2524)
            & c3_1(a2524)
            & ~ c2_1(a2524) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a2525)
            & c2_1(a2525)
            & ~ c3_1(a2525) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a2526)
            & c3_1(a2526)
            & ~ c0_1(a2526) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a2528)
            & ~ c0_1(a2528)
            & ~ c1_1(a2528) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a2531)
            & c2_1(a2531)
            & ~ c3_1(a2531) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c1_1(a2533)
            & ~ c2_1(a2533)
            & ~ c3_1(a2533) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a2534)
            & ~ c0_1(a2534)
            & ~ c2_1(a2534) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a2536)
            & ~ c1_1(a2536)
            & ~ c3_1(a2536) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a2539)
            & ~ c0_1(a2539)
            & ~ c2_1(a2539) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a2540)
            & ~ c2_1(a2540)
            & ~ c3_1(a2540) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a2541)
            & ~ c1_1(a2541)
            & ~ c2_1(a2541) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a2545)
            & c2_1(a2545)
            & ~ c0_1(a2545) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a2548)
            & c3_1(a2548)
            & ~ c1_1(a2548) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a2549)
            & ~ c0_1(a2549)
            & ~ c1_1(a2549) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2551)
            & c1_1(a2551)
            & ~ c2_1(a2551) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a2552)
            & ~ c1_1(a2552)
            & ~ c3_1(a2552) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2553)
            & ~ c1_1(a2553)
            & ~ c3_1(a2553) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a2555)
            & c2_1(a2555)
            & ~ c1_1(a2555) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a2564)
            & ~ c1_1(a2564)
            & ~ c2_1(a2564) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2601)
            & c3_1(a2601)
            & ~ c2_1(a2601) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a2614)
            & ~ c2_1(a2614)
            & ~ c3_1(a2614) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2529)
            & c2_1(a2529)
            & c3_1(a2529) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a2556)
            & c2_1(a2556)
            & c3_1(a2556) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2558)
            & c1_1(a2558)
            & c2_1(a2558) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a2597)
            & c1_1(a2597)
            & c3_1(a2597) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | ~ c2_1(X1)
                | ~ c3_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c0_1(X11)
                | ~ c2_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c0_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c0_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | hskp0 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c3_1(X23)
                | ~ c0_1(X23) ) )
          | hskp4 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c1_1(X25)
                | ~ c2_1(X25) ) )
          | hskp5 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | hskp6
          | hskp7 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c2_1(X28)
                | ~ c0_1(X28) ) )
          | hskp8 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | hskp9 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | ~ c1_1(X32) ) )
          | hskp1 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) )
          | hskp10 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | hskp28
          | hskp3 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp11 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp0 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) )
          | hskp12 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | hskp13
          | hskp4 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | ~ c1_1(X50) ) )
          | hskp14 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | ~ c0_1(X52) ) )
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp4
          | hskp15 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c2_1(X58) ) )
          | hskp16 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp17 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | hskp15
          | hskp0 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | hskp14 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | hskp18
          | hskp10 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | hskp14 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp19
          | hskp20 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | hskp7 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | hskp21
          | hskp22 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | hskp23
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp24 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | hskp29 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp2 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp30
          | hskp22 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | hskp29
          | hskp2 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | hskp20
          | hskp14 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c2_1(X90) ) )
          | hskp25
          | hskp3 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | hskp18
          | hskp0 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | hskp21 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) )
          | hskp4 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c2_1(X97) ) )
          | hskp28 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp5
          | hskp22 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | hskp24 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp8
          | hskp7 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c3_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp21 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp10 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp19
          | hskp16 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c0_1(X107) ) )
          | hskp9
          | hskp4 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp30
          | hskp9 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | hskp24
          | hskp25 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c2_1(X111)
                | ~ c3_1(X111) ) )
          | hskp6 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp18 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | hskp29
          | hskp10 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp25
          | hskp20 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c1_1(X116)
                | ~ c2_1(X116) ) )
          | hskp28
          | hskp1 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c2_1(X118)
                | ~ c3_1(X118) ) )
          | hskp3 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp6
          | hskp20 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c2_1(X120)
                | ~ c3_1(X120) ) )
          | hskp31
          | hskp23 )
        & ( hskp30
          | hskp21
          | hskp26 )
        & ( hskp21
          | hskp18
          | hskp1 )
        & ( hskp21
          | hskp2
          | hskp20 )
        & ( hskp6
          | hskp19
          | hskp16 )
        & ( hskp24
          | hskp0 )
        & ( hskp23
          | hskp27 )
        & ( hskp7
          | hskp13
          | hskp12 )
        & ( hskp2
          | hskp27
          | hskp3 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2517)
        & ~ c0_1(a2517)
        & ~ c3_1(a2517) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2518)
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2519)
        & ~ c2_1(a2519)
        & ~ c3_1(a2519) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a2521)
        & c3_1(a2521)
        & ~ c1_1(a2521) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a2522)
        & c3_1(a2522)
        & ~ c0_1(a2522) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2523)
        & c1_1(a2523)
        & ~ c3_1(a2523) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a2524)
        & c3_1(a2524)
        & ~ c2_1(a2524) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2525)
        & c2_1(a2525)
        & ~ c3_1(a2525) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a2526)
        & c3_1(a2526)
        & ~ c0_1(a2526) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ~ c1_1(a2528) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a2531)
        & c2_1(a2531)
        & ~ c3_1(a2531) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533)
        & ~ c3_1(a2533) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2534)
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2536)
        & ~ c1_1(a2536)
        & ~ c3_1(a2536) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539)
        & ~ c2_1(a2539) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ~ c3_1(a2540) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a2541)
        & ~ c1_1(a2541)
        & ~ c2_1(a2541) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2545)
        & c2_1(a2545)
        & ~ c0_1(a2545) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a2548)
        & c3_1(a2548)
        & ~ c1_1(a2548) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ~ c1_1(a2549) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2551)
        & c1_1(a2551)
        & ~ c2_1(a2551) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2552)
        & ~ c1_1(a2552)
        & ~ c3_1(a2552) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2553)
        & ~ c1_1(a2553)
        & ~ c3_1(a2553) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a2555)
        & c2_1(a2555)
        & ~ c1_1(a2555) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a2564)
        & ~ c1_1(a2564)
        & ~ c2_1(a2564) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2601)
        & c3_1(a2601)
        & ~ c2_1(a2601) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a2614)
        & ~ c2_1(a2614)
        & ~ c3_1(a2614) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2529)
        & c2_1(a2529)
        & c3_1(a2529) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2556)
        & c2_1(a2556)
        & c3_1(a2556) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2558)
        & c1_1(a2558)
        & c2_1(a2558) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2597)
        & c1_1(a2597)
        & c3_1(a2597) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | ~ c2_1(X1)
            | ~ c3_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | ~ c2_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c0_1(X8)
            | ~ c2_1(X8) ) )
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | ~ c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c0_1(X11)
            | ~ c2_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c1_1(X13)
            | ~ c2_1(X13) ) )
      | hskp3 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c2_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | ~ c0_1(X16)
            | ~ c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c0_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c0_1(X21)
            | ~ c1_1(X21) ) )
      | hskp0 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c3_1(X23)
            | ~ c0_1(X23) ) )
      | hskp4 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c1_1(X25)
            | ~ c2_1(X25) ) )
      | hskp5 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) )
      | hskp6
      | hskp7 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | c2_1(X28)
            | ~ c0_1(X28) ) )
      | hskp8 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c1_1(X30) ) )
      | hskp9 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | c3_1(X32)
            | ~ c1_1(X32) ) )
      | hskp1 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c3_1(X34)
            | ~ c1_1(X34) ) )
      | hskp10 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | hskp28
      | hskp3 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp11 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c0_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c1_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp0 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c0_1(X44)
            | ~ c2_1(X44) ) )
      | hskp12 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | hskp13
      | hskp4 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c0_1(X50)
            | ~ c1_1(X50) ) )
      | hskp14 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | ~ c0_1(X52) ) )
      | hskp13 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | hskp4
      | hskp15 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c2_1(X58) ) )
      | hskp16 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | hskp17 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | hskp15
      | hskp0 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) )
      | hskp14 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | hskp18
      | hskp10 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | hskp14 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | hskp19
      | hskp20 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | hskp7 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | hskp21
      | hskp22 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) )
      | hskp23
      | hskp1 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp24 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c0_1(X81)
            | ~ c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) )
      | hskp29 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp2 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c0_1(X87) ) )
      | hskp30
      | hskp22 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | hskp29
      | hskp2 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | hskp20
      | hskp14 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c2_1(X90) ) )
      | hskp25
      | hskp3 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | hskp18
      | hskp0 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | ~ c1_1(X93) ) )
      | hskp21 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c1_1(X95)
            | ~ c2_1(X95) ) )
      | hskp4 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c1_1(X97)
            | ~ c2_1(X97) ) )
      | hskp28 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp5
      | hskp22 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c3_1(X100)
            | ~ c0_1(X100) ) )
      | hskp24 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c2_1(X101)
            | ~ c3_1(X101) ) )
      | hskp8
      | hskp7 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c3_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c0_1(X103)
            | ~ c1_1(X103) ) )
      | hskp21 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c3_1(X105) ) )
      | hskp10 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c0_1(X106) ) )
      | hskp19
      | hskp16 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c0_1(X107) ) )
      | hskp9
      | hskp4 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c0_1(X108)
            | ~ c1_1(X108) ) )
      | hskp30
      | hskp9 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) )
      | hskp24
      | hskp25 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c2_1(X111)
            | ~ c3_1(X111) ) )
      | hskp6 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c1_1(X112)
            | ~ c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | ~ c2_1(X113)
            | ~ c3_1(X113) ) )
      | hskp18 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c1_1(X114) ) )
      | hskp29
      | hskp10 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c2_1(X115) ) )
      | hskp25
      | hskp20 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c1_1(X116)
            | ~ c2_1(X116) ) )
      | hskp28
      | hskp1 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c2_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | ~ c2_1(X118)
            | ~ c3_1(X118) ) )
      | hskp3 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c2_1(X119)
            | ~ c3_1(X119) ) )
      | hskp6
      | hskp20 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c1_1(X120)
            | ~ c2_1(X120)
            | ~ c3_1(X120) ) )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2517)
        & ~ c0_1(a2517)
        & ~ c3_1(a2517) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2518)
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2519)
        & ~ c2_1(a2519)
        & ~ c3_1(a2519) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a2521)
        & c3_1(a2521)
        & ~ c1_1(a2521) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a2522)
        & c3_1(a2522)
        & ~ c0_1(a2522) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2523)
        & c1_1(a2523)
        & ~ c3_1(a2523) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a2524)
        & c3_1(a2524)
        & ~ c2_1(a2524) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2525)
        & c2_1(a2525)
        & ~ c3_1(a2525) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a2526)
        & c3_1(a2526)
        & ~ c0_1(a2526) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ~ c1_1(a2528) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a2531)
        & c2_1(a2531)
        & ~ c3_1(a2531) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533)
        & ~ c3_1(a2533) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2534)
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2536)
        & ~ c1_1(a2536)
        & ~ c3_1(a2536) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539)
        & ~ c2_1(a2539) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ~ c3_1(a2540) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a2541)
        & ~ c1_1(a2541)
        & ~ c2_1(a2541) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2545)
        & c2_1(a2545)
        & ~ c0_1(a2545) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a2548)
        & c3_1(a2548)
        & ~ c1_1(a2548) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ~ c1_1(a2549) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2551)
        & c1_1(a2551)
        & ~ c2_1(a2551) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2552)
        & ~ c1_1(a2552)
        & ~ c3_1(a2552) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2553)
        & ~ c1_1(a2553)
        & ~ c3_1(a2553) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a2555)
        & c2_1(a2555)
        & ~ c1_1(a2555) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a2564)
        & ~ c1_1(a2564)
        & ~ c2_1(a2564) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2601)
        & c3_1(a2601)
        & ~ c2_1(a2601) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a2614)
        & ~ c2_1(a2614)
        & ~ c3_1(a2614) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2529)
        & c2_1(a2529)
        & c3_1(a2529) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2556)
        & c2_1(a2556)
        & c3_1(a2556) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2558)
        & c1_1(a2558)
        & c2_1(a2558) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2597)
        & c1_1(a2597)
        & c3_1(a2597) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp13
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp4
      | hskp15 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp18
      | hskp10 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp23
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp29
      | hskp2 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp20
      | hskp14 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp18
      | hskp0 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp16 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp9
      | hskp4 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp10 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp25
      | hskp20 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp6
      | hskp20 )
    & ( ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2517)
        & ~ c0_1(a2517)
        & ~ c3_1(a2517) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2518)
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2519)
        & ~ c2_1(a2519)
        & ~ c3_1(a2519) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a2521)
        & c3_1(a2521)
        & ~ c1_1(a2521) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a2522)
        & c3_1(a2522)
        & ~ c0_1(a2522) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2523)
        & c1_1(a2523)
        & ~ c3_1(a2523) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a2524)
        & c3_1(a2524)
        & ~ c2_1(a2524) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2525)
        & c2_1(a2525)
        & ~ c3_1(a2525) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a2526)
        & c3_1(a2526)
        & ~ c0_1(a2526) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ~ c1_1(a2528) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a2531)
        & c2_1(a2531)
        & ~ c3_1(a2531) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533)
        & ~ c3_1(a2533) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2534)
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2536)
        & ~ c1_1(a2536)
        & ~ c3_1(a2536) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539)
        & ~ c2_1(a2539) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ~ c3_1(a2540) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a2541)
        & ~ c1_1(a2541)
        & ~ c2_1(a2541) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2545)
        & c2_1(a2545)
        & ~ c0_1(a2545) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a2548)
        & c3_1(a2548)
        & ~ c1_1(a2548) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ~ c1_1(a2549) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2551)
        & c1_1(a2551)
        & ~ c2_1(a2551) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2552)
        & ~ c1_1(a2552)
        & ~ c3_1(a2552) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2553)
        & ~ c1_1(a2553)
        & ~ c3_1(a2553) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a2555)
        & c2_1(a2555)
        & ~ c1_1(a2555) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a2564)
        & ~ c1_1(a2564)
        & ~ c2_1(a2564) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2601)
        & c3_1(a2601)
        & ~ c2_1(a2601) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a2614)
        & ~ c2_1(a2614)
        & ~ c3_1(a2614) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2529)
        & c2_1(a2529)
        & c3_1(a2529) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2556)
        & c2_1(a2556)
        & c3_1(a2556) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2558)
        & c1_1(a2558)
        & c2_1(a2558) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2597)
        & c1_1(a2597)
        & c3_1(a2597) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp13
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp4
      | hskp15 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp18
      | hskp10 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp23
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp29
      | hskp2 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp20
      | hskp14 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp18
      | hskp0 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp16 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp9
      | hskp4 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp10 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp25
      | hskp20 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp6
      | hskp20 )
    & ( ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp2
    | hskp27
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp7
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp23
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp6
    | hskp19
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp30
    | hskp21
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X120] :
      ( ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ c3_1(X120)
      | ~ ndr1_0
      | hskp31
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X119] :
      ( ~ c0_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | hskp6
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X118,X117] :
      ( ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X116] :
      ( c3_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | hskp28
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X109] :
      ( c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X107] :
      ( c2_1(X107)
      | c3_1(X107)
      | ~ c0_1(X107)
      | ~ ndr1_0
      | hskp9
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X106] :
      ( c2_1(X106)
      | c3_1(X106)
      | ~ c0_1(X106)
      | ~ ndr1_0
      | hskp19
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | c3_1(X103)
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X101] :
      ( c1_1(X101)
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X90] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | hskp25
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp23
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X72,X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | ~ c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X70] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | ~ c0_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | hskp13
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | hskp28
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | c2_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X26] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c1_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c3_1(X19)
      | ~ c0_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | ~ c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | c1_1(X11)
      | ~ c0_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X6,X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | c3_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X2,X3] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp31
    | c3_1(a2597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp31
    | c1_1(a2597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp31
    | c0_1(a2597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp30
    | c2_1(a2558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c1_1(a2558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a2558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c3_1(a2556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c2_1(a2556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c1_1(a2556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a2529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a2529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c0_1(a2529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp27
    | ~ c3_1(a2614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp27
    | ~ c2_1(a2614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp27
    | c1_1(a2614) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f103,plain,
    ( ~ hskp26
    | c3_1(a2601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp26
    | c0_1(a2601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp25
    | ~ c2_1(a2564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp25
    | c0_1(a2564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | c2_1(a2555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | c0_1(a2555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c0_1(a2553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | c1_1(a2551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c0_1(a2551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c2_1(a2549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c1_1(a2548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c3_1(a2548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c0_1(a2548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c2_1(a2541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | ~ c1_1(a2541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c3_1(a2541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c3_1(a2540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c0_1(a2540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c3_1(a2536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | ~ c1_1(a2536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | ~ c0_1(a2536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c2_1(a2534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c1_1(a2534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c3_1(a2533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c2_1(a2533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | ~ c1_1(a2533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c3_1(a2531) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | c2_1(a2531) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c1_1(a2531) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c0_1(a2528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c3_1(a2528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | c3_1(a2526) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c1_1(a2526) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c3_1(a2525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | c2_1(a2525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c0_1(a2525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c2_1(a2524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | c3_1(a2524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c1_1(a2524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | c1_1(a2523) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | c0_1(a2523) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c0_1(a2522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | c3_1(a2522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | c2_1(a2522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c1_1(a2521) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | c3_1(a2521) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | c2_1(a2521) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c3_1(a2519) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | ~ c2_1(a2519) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | ~ c0_1(a2519) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | ~ c0_1(a2518) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | c1_1(a2518) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | c2_1(a2517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ! [X118,X117] :
      ( ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ c3_1(X118)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f212,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | ~ c3_1(X111)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f213,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c3_1(X105)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f214,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | c3_1(X103)
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f215,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f217,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f219,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f220,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f221,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f222,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f223,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f224,plain,
    ! [X72,X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | ~ c2_1(X72)
      | ~ c3_1(X72)
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73) ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f225,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f227,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f228,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f229,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f230,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | ~ c3_1(X54)
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f231,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f232,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | ~ c0_1(X50)
      | ~ c1_1(X50)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f233,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f234,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f236,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ c0_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f237,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f238,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | ~ c1_1(X34)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f239,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f240,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f241,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | c2_1(X28)
      | ~ c0_1(X28)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f242,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c1_1(X25)
      | ~ c2_1(X25)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f243,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | c3_1(X23)
      | ~ c0_1(X23)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f245,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c3_1(X18)
      | c3_1(X19)
      | ~ c0_1(X19)
      | ~ c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f246,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f247,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | ~ c1_1(X13)
      | ~ c2_1(X13)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f248,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X10)
      | c1_1(X11)
      | ~ c0_1(X11)
      | ~ c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f249,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c2_1(X8)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f250,plain,
    ! [X6,X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | c3_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f251,plain,
    ! [X2,X3] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f254,definition,
    ( spl0_1
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_2
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_3
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f260,f257,f254]) ).

fof(f264,definition,
    ( spl0_4
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_5
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_6
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f272,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f270,f267,f264]) ).

fof(f274,definition,
    ( spl0_7
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f276,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f8,f274,f257]) ).

fof(f281,definition,
    ( spl0_9
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_10
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_11
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f291,definition,
    ( spl0_12
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f293,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f10,f291,f288,f285]) ).

fof(f295,definition,
    ( spl0_13
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_14
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_15
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f309,definition,
    ( spl0_17
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_18
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f314,plain,
    ( spl0_17
    | spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f13,f312,f298,f309]) ).

fof(f316,definition,
    ( spl0_19
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_21
  <=> ! [X120] :
        ( ~ c1_1(X120)
        | ~ c3_1(X120)
        | ~ c2_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X120] :
        ( ~ c3_1(X120)
        | ~ c1_1(X120)
        | ~ c2_1(X120) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( spl0_7
    | spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f14,f322,f319,f316,f274]) ).

fof(f326,definition,
    ( spl0_22
  <=> ! [X119] :
        ( ~ c0_1(X119)
        | ~ c3_1(X119)
        | ~ c2_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f327,plain,
    ( ! [X119] :
        ( ~ c3_1(X119)
        | ~ c0_1(X119)
        | ~ c2_1(X119) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f328,plain,
    ( spl0_13
    | spl0_12
    | ~ spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f15,f326,f319,f291,f295]) ).

fof(f330,definition,
    ( spl0_23
  <=> ! [X117] :
        ( ~ c0_1(X117)
        | ~ c2_1(X117)
        | ~ c1_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f331,plain,
    ( ! [X117] :
        ( ~ c2_1(X117)
        | ~ c0_1(X117)
        | ~ c1_1(X117) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f332,plain,
    ( spl0_1
    | spl0_22
    | ~ spl0_20
    | spl0_23 ),
    inference(avatar_split_clause,[],[f210,f330,f319,f326,f254]) ).

fof(f334,definition,
    ( spl0_24
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f337,definition,
    ( spl0_25
  <=> ! [X116] :
        ( c3_1(X116)
        | ~ c2_1(X116)
        | ~ c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X116] :
        ( c3_1(X116)
        | ~ c2_1(X116)
        | ~ c1_1(X116) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_15
    | spl0_24
    | ~ spl0_20
    | spl0_25 ),
    inference(avatar_split_clause,[],[f17,f337,f319,f334,f302]) ).

fof(f341,definition,
    ( spl0_26
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f344,definition,
    ( spl0_27
  <=> ! [X115] :
        ( c3_1(X115)
        | ~ c2_1(X115)
        | ~ c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X115] :
        ( c3_1(X115)
        | ~ c2_1(X115)
        | ~ c0_1(X115) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f348,definition,
    ( spl0_28
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f351,definition,
    ( spl0_29
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_30
  <=> ! [X114] :
        ( c3_1(X114)
        | ~ c1_1(X114)
        | ~ c0_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X114] :
        ( c3_1(X114)
        | ~ c1_1(X114)
        | ~ c0_1(X114) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f358,definition,
    ( spl0_31
  <=> ! [X112] :
        ( c2_1(X112)
        | ~ c3_1(X112)
        | ~ c1_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X112] :
        ( ~ c3_1(X112)
        | c2_1(X112)
        | ~ c1_1(X112) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f361,plain,
    ( spl0_12
    | spl0_22
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f212,f358,f319,f326,f291]) ).

fof(f363,definition,
    ( spl0_32
  <=> ! [X109] :
        ( c2_1(X109)
        | ~ c1_1(X109)
        | ~ c0_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X109] :
        ( c2_1(X109)
        | ~ c1_1(X109)
        | ~ c0_1(X109) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_26
    | spl0_9
    | ~ spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f22,f363,f319,f281,f341]) ).

fof(f367,definition,
    ( spl0_33
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_34
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f374,definition,
    ( spl0_35
  <=> ! [X107] :
        ( c2_1(X107)
        | ~ c0_1(X107)
        | c3_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X107] :
        ( c3_1(X107)
        | ~ c0_1(X107)
        | c2_1(X107) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_34
    | spl0_33
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f24,f374,f319,f367,f371]) ).

fof(f377,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f25,f374,f319,f288,f285]) ).

fof(f379,definition,
    ( spl0_36
  <=> ! [X105] :
        ( ~ c0_1(X105)
        | ~ c3_1(X105)
        | ~ c1_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | ~ c0_1(X105)
        | ~ c1_1(X105) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( spl0_28
    | spl0_36
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f213,f374,f319,f379,f348]) ).

fof(f382,plain,
    ( spl0_14
    | spl0_30
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f214,f374,f319,f354,f298]) ).

fof(f384,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_38
  <=> ! [X101] :
        ( c1_1(X101)
        | ~ c3_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c1_1(X101)
        | ~ c2_1(X101) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_6
    | spl0_37
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f28,f387,f319,f384,f270]) ).

fof(f390,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f215,f387,f319,f374,f281]) ).

fof(f395,definition,
    ( spl0_40
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f398,definition,
    ( spl0_41
  <=> ! [X98] :
        ( c1_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c1_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f402,plain,
    ( spl0_34
    | spl0_25
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f217,f398,f319,f337,f371]) ).

fof(f405,definition,
    ( spl0_42
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c2_1(X91)
        | ~ c0_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X91] :
        ( ~ c2_1(X91)
        | c1_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f408,plain,
    ( spl0_1
    | spl0_26
    | ~ spl0_20
    | spl0_42 ),
    inference(avatar_split_clause,[],[f35,f405,f319,f341,f254]) ).

fof(f410,definition,
    ( spl0_43
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f413,definition,
    ( spl0_44
  <=> ! [X89] :
        ( c1_1(X89)
        | ~ c0_1(X89)
        | c3_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X89] :
        ( c3_1(X89)
        | ~ c0_1(X89)
        | c1_1(X89) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f418,plain,
    ( spl0_3
    | spl0_35
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f219,f413,f319,f374,f260]) ).

fof(f420,definition,
    ( spl0_45
  <=> ! [X83] :
        ( c1_1(X83)
        | ~ c3_1(X83)
        | c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c1_1(X83)
        | c2_1(X83) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f422,plain,
    ( spl0_29
    | spl0_25
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f220,f420,f319,f337,f351]) ).

fof(f423,plain,
    ( spl0_21
    | spl0_30
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f221,f420,f319,f354,f322]) ).

fof(f424,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f222,f420,f319,f374,f281]) ).

fof(f426,definition,
    ( spl0_46
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c0_1(X77)
        | c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X77] :
        ( c2_1(X77)
        | ~ c0_1(X77)
        | c1_1(X77) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( spl0_15
    | spl0_7
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f43,f426,f319,f274,f302]) ).

fof(f431,definition,
    ( spl0_47
  <=> ! [X75] :
        ( c2_1(X75)
        | ~ c1_1(X75)
        | c3_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X75] :
        ( c3_1(X75)
        | ~ c1_1(X75)
        | c2_1(X75) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_6
    | spl0_47
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f223,f426,f319,f431,f270]) ).

fof(f435,definition,
    ( spl0_48
  <=> ! [X73] :
        ( c2_1(X73)
        | ~ c3_1(X73)
        | ~ c0_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c2_1(X73)
        | ~ c0_1(X73) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f437,plain,
    ( spl0_48
    | spl0_38
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f224,f426,f319,f387,f435]) ).

fof(f439,definition,
    ( spl0_49
  <=> ! [X70] :
        ( c1_1(X70)
        | c3_1(X70)
        | c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X70] :
        ( c3_1(X70)
        | c1_1(X70)
        | c2_1(X70) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_13
    | spl0_11
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f47,f439,f319,f288,f295]) ).

fof(f442,plain,
    ( spl0_43
    | spl0_31
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f225,f439,f319,f358,f410]) ).

fof(f444,definition,
    ( spl0_50
  <=> ! [X67] :
        ( c0_1(X67)
        | ~ c3_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c0_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f448,plain,
    ( spl0_22
    | spl0_36
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f227,f444,f319,f379,f326]) ).

fof(f453,definition,
    ( spl0_52
  <=> ! [X61] :
        ( c0_1(X61)
        | ~ c3_1(X61)
        | ~ c1_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X61] :
        ( ~ c3_1(X61)
        | c0_1(X61)
        | ~ c1_1(X61) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f457,definition,
    ( spl0_53
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f459,plain,
    ( spl0_53
    | spl0_47
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f228,f453,f319,f431,f457]) ).

fof(f460,plain,
    ( spl0_10
    | spl0_42
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f229,f453,f319,f405,f285]) ).

fof(f462,definition,
    ( spl0_54
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f465,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f230,f462,f319,f420,f413]) ).

fof(f466,plain,
    ( spl0_5
    | spl0_46
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f231,f462,f319,f426,f267]) ).

fof(f468,definition,
    ( spl0_55
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c2_1(X49)
        | c3_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X49] :
        ( c3_1(X49)
        | ~ c2_1(X49)
        | c0_1(X49) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( spl0_43
    | spl0_32
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f232,f468,f319,f363,f410]) ).

fof(f472,definition,
    ( spl0_56
  <=> ! [X47] :
        ( c1_1(X47)
        | ~ c2_1(X47)
        | c3_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X47] :
        ( c3_1(X47)
        | ~ c2_1(X47)
        | c1_1(X47) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( spl0_41
    | spl0_56
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f233,f468,f319,f472,f398]) ).

fof(f476,definition,
    ( spl0_57
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | c3_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X45] :
        ( c3_1(X45)
        | ~ c1_1(X45)
        | c0_1(X45) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( spl0_34
    | spl0_5
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f60,f476,f319,f267,f371]) ).

fof(f479,plain,
    ( spl0_4
    | spl0_27
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f234,f476,f319,f344,f264]) ).

fof(f481,definition,
    ( spl0_58
  <=> ! [X41] :
        ( c0_1(X41)
        | ~ c3_1(X41)
        | c2_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | c2_1(X41) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f484,plain,
    ( spl0_36
    | spl0_42
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f236,f481,f319,f405,f379]) ).

fof(f486,definition,
    ( spl0_59
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_59
    | spl0_45
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f237,f481,f319,f420,f486]) ).

fof(f490,definition,
    ( spl0_60
  <=> ! [X35] :
        ( c0_1(X35)
        | ~ c1_1(X35)
        | c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X35] :
        ( c2_1(X35)
        | ~ c1_1(X35)
        | c0_1(X35) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f492,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f65,f490,f319,f334,f254]) ).

fof(f493,plain,
    ( spl0_28
    | spl0_47
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f238,f490,f319,f431,f348]) ).

fof(f495,definition,
    ( spl0_61
  <=> ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f496,plain,
    ( ! [X31] :
        ( c3_1(X31)
        | c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( spl0_15
    | spl0_47
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f239,f495,f319,f431,f302]) ).

fof(f498,plain,
    ( spl0_33
    | spl0_47
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f240,f495,f319,f431,f367]) ).

fof(f499,plain,
    ( spl0_37
    | spl0_46
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f241,f495,f319,f426,f384]) ).

fof(f501,definition,
    ( spl0_62
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c3_1(X26)
        | c1_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c0_1(X26)
        | c1_1(X26) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f70,f501,f319,f291,f270]) ).

fof(f504,plain,
    ( spl0_40
    | spl0_23
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f242,f501,f319,f330,f395]) ).

fof(f505,plain,
    ( spl0_34
    | spl0_44
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f243,f501,f319,f413,f371]) ).

fof(f507,definition,
    ( spl0_63
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | c0_1(X20)
        | c1_1(X20) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( spl0_27
    | spl0_41
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f245,f507,f319,f398,f344]) ).

fof(f511,plain,
    ( spl0_27
    | spl0_50
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f246,f507,f319,f444,f344]) ).

fof(f512,plain,
    ( spl0_1
    | spl0_54
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f247,f507,f319,f462,f254]) ).

fof(f513,plain,
    ( spl0_42
    | spl0_54
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f248,f507,f319,f462,f405]) ).

fof(f515,definition,
    ( spl0_64
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | c0_1(X7)
        | c1_1(X7) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f517,plain,
    ( spl0_3
    | spl0_42
    | ~ spl0_20
    | spl0_64 ),
    inference(avatar_split_clause,[],[f249,f515,f319,f405,f260]) ).

fof(f518,plain,
    ( spl0_23
    | spl0_57
    | ~ spl0_20
    | spl0_64 ),
    inference(avatar_split_clause,[],[f250,f515,f319,f476,f330]) ).

fof(f519,plain,
    ( spl0_15
    | spl0_63
    | ~ spl0_20
    | spl0_64 ),
    inference(avatar_split_clause,[],[f251,f515,f319,f507,f302]) ).

fof(f525,definition,
    ( spl0_66
  <=> c3_1(a2597) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f526,plain,
    ( c3_1(a2597)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f528,plain,
    ( spl0_66
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f82,f316,f525]) ).

fof(f530,definition,
    ( spl0_67
  <=> c1_1(a2597) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f532,plain,
    ( spl0_67
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f83,f316,f530]) ).

fof(f534,definition,
    ( spl0_68
  <=> c0_1(a2597) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f536,plain,
    ( spl0_68
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f84,f316,f534]) ).

fof(f540,definition,
    ( spl0_69
  <=> c2_1(a2558) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f541,plain,
    ( c2_1(a2558)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f543,plain,
    ( spl0_69
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f86,f312,f540]) ).

fof(f545,definition,
    ( spl0_70
  <=> c1_1(a2558) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f547,plain,
    ( spl0_70
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f87,f312,f545]) ).

fof(f549,definition,
    ( spl0_71
  <=> c0_1(a2558) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_71
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f88,f312,f549]) ).

fof(f554,definition,
    ( spl0_72
  <=> c3_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f555,plain,
    ( c3_1(a2556)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f557,plain,
    ( spl0_72
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f90,f351,f554]) ).

fof(f559,definition,
    ( spl0_73
  <=> c2_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f560,plain,
    ( c2_1(a2556)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( spl0_73
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f91,f351,f559]) ).

fof(f563,definition,
    ( spl0_74
  <=> c1_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_74
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f92,f351,f563]) ).

fof(f568,definition,
    ( spl0_75
  <=> c3_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f569,plain,
    ( c3_1(a2529)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f571,plain,
    ( spl0_75
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f94,f334,f568]) ).

fof(f573,definition,
    ( spl0_76
  <=> c2_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f574,plain,
    ( c2_1(a2529)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f575,plain,
    ( spl0_76
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f95,f334,f573]) ).

fof(f577,definition,
    ( spl0_77
  <=> c0_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f579,plain,
    ( spl0_77
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f96,f334,f577]) ).

fof(f582,definition,
    ( spl0_78
  <=> c3_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ c3_1(a2614)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl0_78
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f98,f257,f582]) ).

fof(f587,definition,
    ( spl0_79
  <=> c2_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f588,plain,
    ( ~ c2_1(a2614)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( ~ spl0_79
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f99,f257,f587]) ).

fof(f591,definition,
    ( spl0_80
  <=> c1_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f593,plain,
    ( spl0_80
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f100,f257,f591]) ).

fof(f594,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f101,f257,f319]) ).

fof(f601,definition,
    ( spl0_82
  <=> c3_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f602,plain,
    ( c3_1(a2601)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f603,plain,
    ( spl0_82
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f103,f309,f601]) ).

fof(f605,definition,
    ( spl0_83
  <=> c0_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f607,plain,
    ( spl0_83
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f104,f309,f605]) ).

fof(f610,definition,
    ( spl0_84
  <=> c2_1(a2564) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c2_1(a2564)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl0_84
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f106,f341,f610]) ).

fof(f615,definition,
    ( spl0_85
  <=> c1_1(a2564) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ spl0_85
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f107,f341,f615]) ).

fof(f619,definition,
    ( spl0_86
  <=> c0_1(a2564) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f621,plain,
    ( spl0_86
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f108,f341,f619]) ).

fof(f624,definition,
    ( spl0_87
  <=> c1_1(a2555) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ spl0_87
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f110,f281,f624]) ).

fof(f629,definition,
    ( spl0_88
  <=> c2_1(a2555) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f630,plain,
    ( c2_1(a2555)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( spl0_88
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f111,f281,f629]) ).

fof(f633,definition,
    ( spl0_89
  <=> c0_1(a2555) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f635,plain,
    ( spl0_89
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f112,f281,f633]) ).

fof(f638,definition,
    ( spl0_90
  <=> c3_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ c3_1(a2553)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f641,plain,
    ( ~ spl0_90
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f114,f274,f638]) ).

fof(f643,definition,
    ( spl0_91
  <=> c1_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ spl0_91
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f115,f274,f643]) ).

fof(f647,definition,
    ( spl0_92
  <=> c0_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f649,plain,
    ( spl0_92
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f116,f274,f647]) ).

fof(f650,plain,
    ( spl0_20
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f117,f274,f319]) ).

fof(f666,definition,
    ( spl0_96
  <=> c2_1(a2551) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ c2_1(a2551)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f669,plain,
    ( ~ spl0_96
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f122,f298,f666]) ).

fof(f671,definition,
    ( spl0_97
  <=> c1_1(a2551) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f673,plain,
    ( spl0_97
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f123,f298,f671]) ).

fof(f675,definition,
    ( spl0_98
  <=> c0_1(a2551) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f677,plain,
    ( spl0_98
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f124,f298,f675]) ).

fof(f680,definition,
    ( spl0_99
  <=> c1_1(a2549) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ spl0_99
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f126,f295,f680]) ).

fof(f685,definition,
    ( spl0_100
  <=> c0_1(a2549) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ spl0_100
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f127,f295,f685]) ).

fof(f689,definition,
    ( spl0_101
  <=> c2_1(a2549) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f690,plain,
    ( c2_1(a2549)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f691,plain,
    ( spl0_101
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f128,f295,f689]) ).

fof(f694,definition,
    ( spl0_102
  <=> c1_1(a2548) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ spl0_102
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f130,f288,f694]) ).

fof(f699,definition,
    ( spl0_103
  <=> c3_1(a2548) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f700,plain,
    ( c3_1(a2548)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f701,plain,
    ( spl0_103
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f131,f288,f699]) ).

fof(f703,definition,
    ( spl0_104
  <=> c0_1(a2548) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f705,plain,
    ( spl0_104
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f132,f288,f703]) ).

fof(f722,definition,
    ( spl0_108
  <=> c2_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ c2_1(a2541)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( ~ spl0_108
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f138,f457,f722]) ).

fof(f727,definition,
    ( spl0_109
  <=> c1_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f729,plain,
    ( ~ spl0_109
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f139,f457,f727]) ).

fof(f731,definition,
    ( spl0_110
  <=> c3_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f732,plain,
    ( c3_1(a2541)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f733,plain,
    ( spl0_110
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f140,f457,f731]) ).

fof(f736,definition,
    ( spl0_111
  <=> c3_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f737,plain,
    ( ~ c3_1(a2540)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,plain,
    ( ~ spl0_111
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f142,f285,f736]) ).

fof(f741,definition,
    ( spl0_112
  <=> c2_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f742,plain,
    ( ~ c2_1(a2540)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( ~ spl0_112
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f143,f285,f741]) ).

fof(f745,definition,
    ( spl0_113
  <=> c0_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f747,plain,
    ( spl0_113
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f144,f285,f745]) ).

fof(f764,definition,
    ( spl0_117
  <=> c3_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ c3_1(a2536)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_117
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f150,f410,f764]) ).

fof(f769,definition,
    ( spl0_118
  <=> c1_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ spl0_118
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f151,f410,f769]) ).

fof(f773,definition,
    ( spl0_119
  <=> c0_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ spl0_119
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f152,f410,f773]) ).

fof(f778,definition,
    ( spl0_120
  <=> c2_1(a2534) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ c2_1(a2534)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_120
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f154,f267,f778]) ).

fof(f783,definition,
    ( spl0_121
  <=> c0_1(a2534) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ spl0_121
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f155,f267,f783]) ).

fof(f787,definition,
    ( spl0_122
  <=> c1_1(a2534) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f789,plain,
    ( spl0_122
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f156,f267,f787]) ).

fof(f792,definition,
    ( spl0_123
  <=> c3_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ c3_1(a2533)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( ~ spl0_123
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f158,f264,f792]) ).

fof(f797,definition,
    ( spl0_124
  <=> c2_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ spl0_124
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f159,f264,f797]) ).

fof(f801,definition,
    ( spl0_125
  <=> c1_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ spl0_125
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f160,f264,f801]) ).

fof(f806,definition,
    ( spl0_126
  <=> c3_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f807,plain,
    ( ~ c3_1(a2531)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( ~ spl0_126
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f162,f486,f806]) ).

fof(f811,definition,
    ( spl0_127
  <=> c2_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f812,plain,
    ( c2_1(a2531)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f813,plain,
    ( spl0_127
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f163,f486,f811]) ).

fof(f815,definition,
    ( spl0_128
  <=> c1_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f817,plain,
    ( spl0_128
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f164,f486,f815]) ).

fof(f820,definition,
    ( spl0_129
  <=> c1_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ spl0_129
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f166,f348,f820]) ).

fof(f825,definition,
    ( spl0_130
  <=> c0_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ spl0_130
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f167,f348,f825]) ).

fof(f829,definition,
    ( spl0_131
  <=> c3_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f830,plain,
    ( c3_1(a2528)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f831,plain,
    ( spl0_131
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f168,f348,f829]) ).

fof(f834,definition,
    ( spl0_132
  <=> c0_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ spl0_132
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f170,f367,f834]) ).

fof(f839,definition,
    ( spl0_133
  <=> c3_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f840,plain,
    ( c3_1(a2526)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f841,plain,
    ( spl0_133
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f171,f367,f839]) ).

fof(f843,definition,
    ( spl0_134
  <=> c1_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f845,plain,
    ( spl0_134
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f172,f367,f843]) ).

fof(f848,definition,
    ( spl0_135
  <=> c3_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f849,plain,
    ( ~ c3_1(a2525)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( ~ spl0_135
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f174,f384,f848]) ).

fof(f853,definition,
    ( spl0_136
  <=> c2_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f854,plain,
    ( c2_1(a2525)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f855,plain,
    ( spl0_136
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f175,f384,f853]) ).

fof(f857,definition,
    ( spl0_137
  <=> c0_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f859,plain,
    ( spl0_137
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f176,f384,f857]) ).

fof(f862,definition,
    ( spl0_138
  <=> c2_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ c2_1(a2524)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f865,plain,
    ( ~ spl0_138
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f270,f862]) ).

fof(f867,definition,
    ( spl0_139
  <=> c3_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f868,plain,
    ( c3_1(a2524)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f869,plain,
    ( spl0_139
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f179,f270,f867]) ).

fof(f871,definition,
    ( spl0_140
  <=> c1_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_140
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f180,f270,f871]) ).

fof(f876,definition,
    ( spl0_141
  <=> c3_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c3_1(a2523)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( ~ spl0_141
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f182,f291,f876]) ).

fof(f881,definition,
    ( spl0_142
  <=> c1_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f883,plain,
    ( spl0_142
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f183,f291,f881]) ).

fof(f885,definition,
    ( spl0_143
  <=> c0_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f887,plain,
    ( spl0_143
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f184,f291,f885]) ).

fof(f890,definition,
    ( spl0_144
  <=> c0_1(a2522) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f893,plain,
    ( ~ spl0_144
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f186,f395,f890]) ).

fof(f895,definition,
    ( spl0_145
  <=> c3_1(a2522) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f896,plain,
    ( c3_1(a2522)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f897,plain,
    ( spl0_145
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f187,f395,f895]) ).

fof(f899,definition,
    ( spl0_146
  <=> c2_1(a2522) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f901,plain,
    ( spl0_146
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f188,f395,f899]) ).

fof(f904,definition,
    ( spl0_147
  <=> c1_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f907,plain,
    ( ~ spl0_147
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f190,f371,f904]) ).

fof(f909,definition,
    ( spl0_148
  <=> c3_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f910,plain,
    ( c3_1(a2521)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f911,plain,
    ( spl0_148
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f191,f371,f909]) ).

fof(f913,definition,
    ( spl0_149
  <=> c2_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f914,plain,
    ( c2_1(a2521)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f915,plain,
    ( spl0_149
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f192,f371,f913]) ).

fof(f918,definition,
    ( spl0_150
  <=> c3_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ c3_1(a2519)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( ~ spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f254,f918]) ).

fof(f923,definition,
    ( spl0_151
  <=> c2_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ c2_1(a2519)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f925,plain,
    ( ~ spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f254,f923]) ).

fof(f927,definition,
    ( spl0_152
  <=> c0_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f254,f927]) ).

fof(f930,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f254,f319]) ).

fof(f932,definition,
    ( spl0_153
  <=> c3_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f933,plain,
    ( ~ c3_1(a2518)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f935,plain,
    ( ~ spl0_153
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f198,f260,f932]) ).

fof(f937,definition,
    ( spl0_154
  <=> c0_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f939,plain,
    ( ~ spl0_154
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f199,f260,f937]) ).

fof(f941,definition,
    ( spl0_155
  <=> c1_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f943,plain,
    ( spl0_155
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f260,f941]) ).

fof(f946,definition,
    ( spl0_156
  <=> c3_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f947,plain,
    ( ~ c3_1(a2517)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( ~ spl0_156
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f202,f302,f946]) ).

fof(f951,definition,
    ( spl0_157
  <=> c0_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ spl0_157
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f203,f302,f951]) ).

fof(f955,definition,
    ( spl0_158
  <=> c2_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f956,plain,
    ( c2_1(a2517)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f957,plain,
    ( spl0_158
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f204,f302,f955]) ).

fof(f976,definition,
    ( spl0_162
  <=> c2_1(a2548) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f977,plain,
    ( ~ c2_1(a2548)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f982,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_25 ),
    inference(resolution,[],[f338,f327]) ).

fof(f985,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f982]) ).

fof(f986,plain,
    ( spl0_23
    | ~ spl0_22
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f985,f337,f326,f330]) ).

fof(f987,plain,
    ( ~ c0_1(a2529)
    | ~ c2_1(a2529)
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(resolution,[],[f569,f327]) ).

fof(f991,definition,
    ( spl0_163
  <=> c1_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f987,f568,f326,f577,f573]) ).

fof(f1004,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(resolution,[],[f355,f327]) ).

fof(f1010,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1004]) ).

fof(f1012,definition,
    ( spl0_164
  <=> c0_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1017,plain,
    ( spl0_23
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1010,f354,f326,f330]) ).

fof(f1024,definition,
    ( spl0_165
  <=> c0_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1057,plain,
    ( c1_1(a2528)
    | ~ c2_1(a2528)
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(resolution,[],[f388,f830]) ).

fof(f1062,definition,
    ( spl0_167
  <=> c2_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1068,definition,
    ( spl0_168
  <=> c0_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1077,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_41 ),
    inference(resolution,[],[f399,f375]) ).

fof(f1080,plain,
    ( c1_1(a2548)
    | ~ c0_1(a2548)
    | ~ spl0_41
    | ~ spl0_103 ),
    inference(resolution,[],[f399,f700]) ).

fof(f1082,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1077]) ).

fof(f1085,plain,
    ( spl0_46
    | ~ spl0_35
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1082,f398,f374,f426]) ).

fof(f1088,definition,
    ( spl0_169
  <=> c2_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1089,plain,
    ( c2_1(a2523)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1102,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(resolution,[],[f414,f327]) ).

fof(f1108,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1102]) ).

fof(f1112,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(resolution,[],[f421,f414]) ).

fof(f1118,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1112]) ).

fof(f1122,plain,
    ( spl0_46
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1118,f420,f413,f426]) ).

fof(f1127,plain,
    ( ~ c0_1(a2548)
    | c1_1(a2548)
    | ~ spl0_46
    | spl0_162 ),
    inference(resolution,[],[f427,f977]) ).

fof(f1140,plain,
    ( ~ c1_1(a2614)
    | c2_1(a2614)
    | ~ spl0_47
    | spl0_78 ),
    inference(resolution,[],[f432,f583]) ).

fof(f1144,plain,
    ( ~ c0_1(a2541)
    | c1_1(a2541)
    | ~ spl0_46
    | spl0_108 ),
    inference(resolution,[],[f723,f427]) ).

fof(f1147,definition,
    ( spl0_170
  <=> c0_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1165,plain,
    ( c1_1(a2533)
    | c2_1(a2533)
    | ~ spl0_49
    | spl0_123 ),
    inference(resolution,[],[f440,f793]) ).

fof(f1169,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_49
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1165,f792,f439,f801,f797]) ).

fof(f1173,definition,
    ( spl0_171
  <=> c2_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1190,plain,
    ( c0_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_52
    | ~ spl0_139 ),
    inference(resolution,[],[f454,f868]) ).

fof(f1207,plain,
    ( ~ c0_1(a2553)
    | c1_1(a2553)
    | ~ spl0_44
    | spl0_90 ),
    inference(resolution,[],[f639,f414]) ).

fof(f1210,definition,
    ( spl0_172
  <=> c2_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1211,plain,
    ( c2_1(a2553)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f1215,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_44
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1207,f638,f413,f647,f643]) ).

fof(f1232,definition,
    ( spl0_174
  <=> c1_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1244,plain,
    ( ~ c0_1(a2529)
    | ~ c1_1(a2529)
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(resolution,[],[f331,f574]) ).

fof(f1245,plain,
    ( ~ c0_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f331,f560]) ).

fof(f1246,plain,
    ( ~ c0_1(a2558)
    | ~ c1_1(a2558)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f331,f541]) ).

fof(f1261,definition,
    ( spl0_175
  <=> c1_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1267,plain,
    ( c1_1(a2601)
    | ~ c0_1(a2601)
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(resolution,[],[f602,f399]) ).

fof(f1275,definition,
    ( spl0_176
  <=> c1_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1285,definition,
    ( spl0_177
  <=> c0_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1298,plain,
    ( ~ c1_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_30
    | spl0_141 ),
    inference(resolution,[],[f355,f877]) ).

fof(f1310,plain,
    ( ~ spl0_143
    | ~ spl0_142
    | ~ spl0_30
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1298,f876,f354,f881,f885]) ).

fof(f1336,plain,
    ( ~ c0_1(a2548)
    | ~ c2_1(a2548)
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(resolution,[],[f327,f700]) ).

fof(f1343,plain,
    ( ~ spl0_162
    | ~ spl0_104
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1336,f699,f326,f703,f976]) ).

fof(f1355,definition,
    ( spl0_179
  <=> c1_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1364,plain,
    ( ~ c1_1(a2540)
    | ~ c0_1(a2540)
    | ~ spl0_32
    | spl0_112 ),
    inference(resolution,[],[f364,f742]) ).

fof(f1370,plain,
    ( ~ c1_1(a2614)
    | ~ c0_1(a2614)
    | ~ spl0_32
    | spl0_79 ),
    inference(resolution,[],[f364,f588]) ).

fof(f1376,plain,
    ( ~ spl0_113
    | ~ spl0_176
    | ~ spl0_32
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1364,f741,f363,f1275,f745]) ).

fof(f1408,plain,
    ( c1_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(resolution,[],[f388,f910]) ).

fof(f1411,plain,
    ( c1_1(a2548)
    | ~ c2_1(a2548)
    | ~ spl0_38
    | ~ spl0_103 ),
    inference(resolution,[],[f388,f700]) ).

fof(f1459,plain,
    ( ~ c2_1(a2517)
    | c0_1(a2517)
    | ~ spl0_55
    | spl0_156 ),
    inference(resolution,[],[f469,f947]) ).

fof(f1478,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(resolution,[],[f473,f327]) ).

fof(f1479,plain,
    ( ~ c2_1(a2517)
    | c1_1(a2517)
    | ~ spl0_56
    | spl0_156 ),
    inference(resolution,[],[f473,f947]) ).

fof(f1481,plain,
    ( ~ c2_1(a2536)
    | c1_1(a2536)
    | ~ spl0_56
    | spl0_117 ),
    inference(resolution,[],[f473,f765]) ).

fof(f1485,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1478]) ).

fof(f1489,plain,
    ( spl0_118
    | ~ spl0_171
    | ~ spl0_56
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1481,f764,f472,f1173,f769]) ).

fof(f1491,plain,
    ( spl0_179
    | ~ spl0_158
    | ~ spl0_56
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1479,f946,f472,f955,f1355]) ).

fof(f1508,plain,
    ( c2_1(a2524)
    | ~ c0_1(a2524)
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(resolution,[],[f436,f868]) ).

fof(f1535,plain,
    ( ~ spl0_140
    | spl0_168
    | ~ spl0_52
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1190,f867,f453,f1068,f871]) ).

fof(f1538,plain,
    ( ~ spl0_168
    | spl0_138
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1508,f867,f435,f862,f1068]) ).

fof(f1543,plain,
    ( ~ c2_1(a2525)
    | c1_1(a2525)
    | ~ spl0_56
    | spl0_135 ),
    inference(resolution,[],[f849,f473]) ).

fof(f1544,plain,
    ( ~ c0_1(a2525)
    | c1_1(a2525)
    | ~ spl0_44
    | spl0_135 ),
    inference(resolution,[],[f849,f414]) ).

fof(f1545,plain,
    ( spl0_174
    | ~ spl0_137
    | ~ spl0_44
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1544,f848,f413,f857,f1232]) ).

fof(f1547,plain,
    ( spl0_174
    | ~ spl0_136
    | ~ spl0_56
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1543,f848,f472,f853,f1232]) ).

fof(f1551,definition,
    ( spl0_181
  <=> c1_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1567,plain,
    ( ~ c1_1(a2556)
    | ~ c2_1(a2556)
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(resolution,[],[f323,f555]) ).

fof(f1569,plain,
    ( ~ spl0_73
    | ~ spl0_74
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1567,f554,f322,f563,f559]) ).

fof(f1572,definition,
    ( spl0_182
  <=> c2_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1586,plain,
    ( c2_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f359,f868]) ).

fof(f1600,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1586,f867,f358,f862,f871]) ).

fof(f1605,plain,
    ( ~ c0_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(resolution,[],[f380,f868]) ).

fof(f1610,plain,
    ( ~ c0_1(a2601)
    | ~ c1_1(a2601)
    | ~ spl0_36
    | ~ spl0_82 ),
    inference(resolution,[],[f380,f602]) ).

fof(f1614,plain,
    ( ~ spl0_175
    | ~ spl0_83
    | ~ spl0_36
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1610,f601,f379,f605,f1261]) ).

fof(f1615,plain,
    ( ~ spl0_140
    | ~ spl0_168
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1605,f867,f379,f1068,f871]) ).

fof(f1623,plain,
    ( c1_1(a2541)
    | c2_1(a2541)
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(resolution,[],[f421,f732]) ).

fof(f1691,plain,
    ( c0_1(a2524)
    | c2_1(a2524)
    | ~ spl0_58
    | ~ spl0_139 ),
    inference(resolution,[],[f482,f868]) ).

fof(f1692,plain,
    ( c0_1(a2528)
    | c2_1(a2528)
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(resolution,[],[f482,f830]) ).

fof(f1694,plain,
    ( c0_1(a2541)
    | c2_1(a2541)
    | ~ spl0_58
    | ~ spl0_110 ),
    inference(resolution,[],[f482,f732]) ).

fof(f1706,plain,
    ( ~ c1_1(a2614)
    | c0_1(a2614)
    | ~ spl0_60
    | spl0_79 ),
    inference(resolution,[],[f491,f588]) ).

fof(f1707,plain,
    ( spl0_164
    | ~ spl0_80
    | ~ spl0_60
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1706,f587,f490,f591,f1012]) ).

fof(f1719,plain,
    ( c0_1(a2519)
    | c2_1(a2519)
    | ~ spl0_61
    | spl0_150 ),
    inference(resolution,[],[f496,f919]) ).

fof(f1722,plain,
    ( c0_1(a2536)
    | c2_1(a2536)
    | ~ spl0_61
    | spl0_117 ),
    inference(resolution,[],[f496,f765]) ).

fof(f1734,plain,
    ( spl0_171
    | spl0_119
    | ~ spl0_61
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1722,f764,f495,f773,f1173]) ).

fof(f1738,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_61
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1719,f918,f495,f927,f923]) ).

fof(f1743,plain,
    ( spl0_42
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1108,f413,f326,f405]) ).

fof(f1748,plain,
    ( spl0_42
    | ~ spl0_22
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1485,f472,f326,f405]) ).

fof(f1760,plain,
    ( ~ spl0_164
    | ~ spl0_80
    | ~ spl0_32
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1370,f587,f363,f591,f1012]) ).

fof(f1784,plain,
    ( ~ spl0_74
    | ~ spl0_165
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1245,f559,f330,f1024,f563]) ).

fof(f1793,plain,
    ( ~ spl0_167
    | spl0_129
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1057,f829,f387,f820,f1062]) ).

fof(f1796,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1408,f909,f387,f904,f913]) ).

fof(f1799,plain,
    ( ~ spl0_162
    | spl0_102
    | ~ spl0_38
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1411,f699,f387,f694,f976]) ).

fof(f1801,plain,
    ( spl0_79
    | ~ spl0_80
    | ~ spl0_47
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1140,f582,f431,f591,f587]) ).

fof(f1813,plain,
    ( spl0_157
    | ~ spl0_158
    | ~ spl0_55
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1459,f946,f468,f955,f951]) ).

fof(f1837,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_41
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1080,f699,f398,f694,f703]) ).

fof(f1848,plain,
    ( spl0_102
    | ~ spl0_104
    | ~ spl0_46
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1127,f976,f426,f703,f694]) ).

fof(f1877,plain,
    ( ~ c2_1(a2517)
    | ~ c1_1(a2517)
    | ~ spl0_25
    | spl0_156 ),
    inference(resolution,[],[f338,f947]) ).

fof(f1878,plain,
    ( ~ c2_1(a2518)
    | ~ c1_1(a2518)
    | ~ spl0_25
    | spl0_153 ),
    inference(resolution,[],[f338,f933]) ).

fof(f1882,plain,
    ( ~ c2_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_25
    | spl0_126 ),
    inference(resolution,[],[f338,f807]) ).

fof(f1894,plain,
    ( ~ spl0_128
    | ~ spl0_127
    | ~ spl0_25
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1882,f806,f337,f811,f815]) ).

fof(f1900,definition,
    ( spl0_184
  <=> c2_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1922,plain,
    ( ~ c1_1(a2551)
    | ~ c0_1(a2551)
    | ~ spl0_32
    | spl0_96 ),
    inference(resolution,[],[f364,f667]) ).

fof(f1934,plain,
    ( ~ c0_1(a2523)
    | c2_1(a2523)
    | ~ spl0_35
    | spl0_141 ),
    inference(resolution,[],[f375,f877]) ).

fof(f1941,plain,
    ( ~ c0_1(a2614)
    | c2_1(a2614)
    | ~ spl0_35
    | spl0_78 ),
    inference(resolution,[],[f375,f583]) ).

fof(f1943,plain,
    ( spl0_79
    | ~ spl0_164
    | ~ spl0_35
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1941,f582,f374,f1012,f587]) ).

fof(f1945,plain,
    ( spl0_169
    | ~ spl0_143
    | ~ spl0_35
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1934,f876,f374,f885,f1088]) ).

fof(f1953,plain,
    ( ~ c0_1(a2597)
    | ~ c1_1(a2597)
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(resolution,[],[f380,f526]) ).

fof(f1957,plain,
    ( c1_1(a2521)
    | ~ c0_1(a2521)
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(resolution,[],[f399,f910]) ).

fof(f1967,plain,
    ( ~ spl0_177
    | spl0_147
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1957,f909,f398,f904,f1285]) ).

fof(f1977,plain,
    ( c1_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_42
    | ~ spl0_88 ),
    inference(resolution,[],[f406,f630]) ).

fof(f1978,plain,
    ( c1_1(a2529)
    | ~ c0_1(a2529)
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(resolution,[],[f406,f574]) ).

fof(f1981,plain,
    ( ~ spl0_77
    | spl0_163
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1978,f573,f405,f991,f577]) ).

fof(f1982,plain,
    ( ~ spl0_89
    | spl0_87
    | ~ spl0_42
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1977,f629,f405,f624,f633]) ).

fof(f1993,plain,
    ( c1_1(a2528)
    | c2_1(a2528)
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(resolution,[],[f421,f830]) ).

fof(f1994,plain,
    ( c1_1(a2548)
    | c2_1(a2548)
    | ~ spl0_45
    | ~ spl0_103 ),
    inference(resolution,[],[f421,f700]) ).

fof(f2008,plain,
    ( ~ c0_1(a2564)
    | c1_1(a2564)
    | ~ spl0_46
    | spl0_84 ),
    inference(resolution,[],[f427,f611]) ).

fof(f2015,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(resolution,[],[f432,f380]) ).

fof(f2018,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(resolution,[],[f432,f454]) ).

fof(f2022,plain,
    ( ~ c1_1(a2523)
    | c2_1(a2523)
    | ~ spl0_47
    | spl0_141 ),
    inference(resolution,[],[f432,f877]) ).

fof(f2030,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f2018]) ).

fof(f2032,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2015]) ).

fof(f2039,plain,
    ( spl0_60
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2030,f453,f431,f490]) ).

fof(f2043,plain,
    ( c0_1(a2517)
    | ~ c1_1(a2517)
    | ~ spl0_54
    | ~ spl0_158 ),
    inference(resolution,[],[f463,f956]) ).

fof(f2049,plain,
    ( c0_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(resolution,[],[f463,f812]) ).

fof(f2060,definition,
    ( spl0_185
  <=> c0_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f2062,plain,
    ( ~ spl0_128
    | spl0_185
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2049,f811,f462,f2060,f815]) ).

fof(f2064,plain,
    ( ~ spl0_179
    | spl0_157
    | ~ spl0_54
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2043,f955,f462,f951,f1355]) ).

fof(f2071,plain,
    ( c0_1(a2528)
    | c1_1(a2528)
    | ~ spl0_62
    | ~ spl0_131 ),
    inference(resolution,[],[f502,f830]) ).

fof(f2085,plain,
    ( c0_1(a2521)
    | c1_1(a2521)
    | ~ spl0_63
    | ~ spl0_149 ),
    inference(resolution,[],[f508,f914]) ).

fof(f2092,plain,
    ( c0_1(a2549)
    | c1_1(a2549)
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(resolution,[],[f508,f690]) ).

fof(f2103,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2092,f689,f507,f685,f680]) ).

fof(f2107,plain,
    ( spl0_147
    | spl0_177
    | ~ spl0_63
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2085,f913,f507,f1285,f904]) ).

fof(f2115,plain,
    ( ~ spl0_163
    | ~ spl0_77
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1244,f573,f330,f577,f991]) ).

fof(f2116,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1246,f540,f330,f549,f545]) ).

fof(f2118,plain,
    ( ~ spl0_179
    | ~ spl0_158
    | ~ spl0_25
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1877,f946,f337,f955,f1355]) ).

fof(f2119,plain,
    ( ~ spl0_155
    | ~ spl0_184
    | ~ spl0_25
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1878,f932,f337,f1900,f941]) ).

fof(f2127,plain,
    ( ~ spl0_83
    | spl0_175
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1267,f601,f398,f1261,f605]) ).

fof(f2128,plain,
    ( spl0_109
    | ~ spl0_170
    | ~ spl0_46
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1144,f722,f426,f1147,f727]) ).

fof(f2135,plain,
    ( spl0_85
    | ~ spl0_86
    | ~ spl0_46
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2008,f610,f426,f619,f615]) ).

fof(f2143,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_45
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1623,f731,f420,f727,f722]) ).

fof(f2147,plain,
    ( spl0_167
    | spl0_129
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1993,f829,f420,f820,f1062]) ).

fof(f2148,plain,
    ( spl0_162
    | spl0_102
    | ~ spl0_45
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1994,f699,f420,f694,f976]) ).

fof(f2153,plain,
    ( spl0_169
    | ~ spl0_142
    | ~ spl0_47
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2022,f876,f431,f881,f1088]) ).

fof(f2163,plain,
    ( spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2032,f431,f379,f363]) ).

fof(f2164,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1953,f525,f379,f534,f530]) ).

fof(f2167,plain,
    ( spl0_138
    | spl0_168
    | ~ spl0_58
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1691,f867,f481,f1068,f862]) ).

fof(f2168,plain,
    ( spl0_167
    | spl0_130
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1692,f829,f481,f825,f1062]) ).

fof(f2169,plain,
    ( spl0_108
    | spl0_170
    | ~ spl0_58
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1694,f731,f481,f1147,f722]) ).

fof(f2175,plain,
    ( c1_1(a2541)
    | ~ c0_1(a2541)
    | ~ spl0_41
    | ~ spl0_110 ),
    inference(resolution,[],[f732,f399]) ).

fof(f2176,plain,
    ( ~ spl0_170
    | spl0_109
    | ~ spl0_41
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2175,f731,f398,f727,f1147]) ).

fof(f2177,plain,
    ( ~ c0_1(a2540)
    | c1_1(a2540)
    | ~ spl0_46
    | spl0_112 ),
    inference(resolution,[],[f742,f427]) ).

fof(f2178,plain,
    ( spl0_176
    | ~ spl0_113
    | ~ spl0_46
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2177,f741,f426,f745,f1275]) ).

fof(f2181,plain,
    ( ~ c0_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(resolution,[],[f327,f910]) ).

fof(f2191,plain,
    ( ~ spl0_149
    | ~ spl0_177
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2181,f909,f326,f1285,f913]) ).

fof(f2197,plain,
    ( ~ c0_1(a2525)
    | ~ c1_1(a2525)
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(resolution,[],[f331,f854]) ).

fof(f2198,plain,
    ( ~ c0_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_23
    | ~ spl0_127 ),
    inference(resolution,[],[f331,f812]) ).

fof(f2205,plain,
    ( ~ spl0_128
    | ~ spl0_185
    | ~ spl0_23
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2198,f811,f330,f2060,f815]) ).

fof(f2206,plain,
    ( ~ spl0_174
    | ~ spl0_137
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2197,f853,f330,f857,f1232]) ).

fof(f2207,plain,
    ( ~ c0_1(a2523)
    | ~ c1_1(a2523)
    | ~ spl0_23
    | ~ spl0_169 ),
    inference(resolution,[],[f1089,f331]) ).

fof(f2209,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_23
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2207,f1088,f330,f885,f881]) ).

fof(f2212,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(resolution,[],[f345,f399]) ).

fof(f2217,plain,
    ( ~ c2_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_27
    | spl0_135 ),
    inference(resolution,[],[f345,f849]) ).

fof(f2221,plain,
    ( ~ c2_1(a2553)
    | ~ c0_1(a2553)
    | ~ spl0_27
    | spl0_90 ),
    inference(resolution,[],[f345,f639]) ).

fof(f2222,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f2212]) ).

fof(f2225,plain,
    ( ~ spl0_92
    | ~ spl0_172
    | ~ spl0_27
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2221,f638,f344,f1210,f647]) ).

fof(f2227,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_27
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2217,f848,f344,f853,f857]) ).

fof(f2229,plain,
    ( spl0_42
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2222,f398,f344,f405]) ).

fof(f2242,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_32
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1922,f666,f363,f671,f675]) ).

fof(f2266,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_62
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2071,f829,f501,f825,f820]) ).

fof(f2283,plain,
    ( c0_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_54
    | ~ spl0_73 ),
    inference(resolution,[],[f560,f463]) ).

fof(f2284,plain,
    ( ~ spl0_74
    | spl0_165
    | ~ spl0_54
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2283,f559,f462,f1024,f563]) ).

fof(f2285,plain,
    ( c1_1(a2529)
    | ~ c0_1(a2529)
    | ~ spl0_41
    | ~ spl0_75 ),
    inference(resolution,[],[f569,f399]) ).

fof(f2286,plain,
    ( ~ spl0_77
    | spl0_163
    | ~ spl0_41
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2285,f568,f398,f991,f577]) ).

fof(f2291,plain,
    ( c2_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(resolution,[],[f359,f840]) ).

fof(f2296,plain,
    ( ~ spl0_134
    | spl0_182
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2291,f839,f358,f1572,f843]) ).

fof(f2316,plain,
    ( ~ c0_1(a2540)
    | c2_1(a2540)
    | ~ spl0_35
    | spl0_111 ),
    inference(resolution,[],[f375,f737]) ).

fof(f2318,plain,
    ( ~ c0_1(a2553)
    | c2_1(a2553)
    | ~ spl0_35
    | spl0_90 ),
    inference(resolution,[],[f375,f639]) ).

fof(f2321,plain,
    ( spl0_172
    | ~ spl0_92
    | ~ spl0_35
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2318,f638,f374,f647,f1210]) ).

fof(f2323,plain,
    ( spl0_112
    | ~ spl0_113
    | ~ spl0_35
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2316,f736,f374,f745,f741]) ).

fof(f2336,plain,
    ( ~ c1_1(a2518)
    | c2_1(a2518)
    | ~ spl0_47
    | spl0_153 ),
    inference(resolution,[],[f432,f933]) ).

fof(f2337,plain,
    ( ~ c1_1(a2519)
    | c2_1(a2519)
    | ~ spl0_47
    | spl0_150 ),
    inference(resolution,[],[f432,f919]) ).

fof(f2348,plain,
    ( spl0_151
    | ~ spl0_181
    | ~ spl0_47
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2337,f918,f431,f1551,f923]) ).

fof(f2349,plain,
    ( spl0_184
    | ~ spl0_155
    | ~ spl0_47
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2336,f932,f431,f941,f1900]) ).

fof(f2352,plain,
    ( c0_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_50
    | ~ spl0_148 ),
    inference(resolution,[],[f445,f910]) ).

fof(f2353,plain,
    ( c0_1(a2522)
    | ~ c2_1(a2522)
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(resolution,[],[f445,f896]) ).

fof(f2354,plain,
    ( c0_1(a2526)
    | ~ c2_1(a2526)
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(resolution,[],[f445,f840]) ).

fof(f2355,plain,
    ( c0_1(a2528)
    | ~ c2_1(a2528)
    | ~ spl0_50
    | ~ spl0_131 ),
    inference(resolution,[],[f445,f830]) ).

fof(f2357,plain,
    ( c0_1(a2556)
    | ~ c2_1(a2556)
    | ~ spl0_50
    | ~ spl0_72 ),
    inference(resolution,[],[f445,f555]) ).

fof(f2358,plain,
    ( ~ spl0_73
    | spl0_165
    | ~ spl0_50
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2357,f554,f444,f1024,f559]) ).

fof(f2359,plain,
    ( ~ spl0_167
    | spl0_130
    | ~ spl0_50
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2355,f829,f444,f825,f1062]) ).

fof(f2360,plain,
    ( ~ spl0_182
    | spl0_132
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2354,f839,f444,f834,f1572]) ).

fof(f2361,plain,
    ( ~ spl0_146
    | spl0_144
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2353,f895,f444,f890,f899]) ).

fof(f2362,plain,
    ( ~ spl0_149
    | spl0_177
    | ~ spl0_50
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2352,f909,f444,f1285,f913]) ).

fof(f2369,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_52
    | ~ spl0_133 ),
    inference(resolution,[],[f454,f840]) ).

fof(f2376,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_52
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2369,f839,f453,f834,f843]) ).

fof(f2385,plain,
    ( ~ c1_1(a2518)
    | c0_1(a2518)
    | ~ spl0_57
    | spl0_153 ),
    inference(resolution,[],[f477,f933]) ).

fof(f2399,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_57
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2385,f932,f476,f941,f937]) ).

fof(f2404,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_58 ),
    inference(resolution,[],[f482,f432]) ).

fof(f2413,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2404]) ).

fof(f2416,plain,
    ( spl0_60
    | ~ spl0_47
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2413,f481,f431,f490]) ).

fof(f2421,plain,
    ( ~ c1_1(a2519)
    | c0_1(a2519)
    | ~ spl0_60
    | spl0_151 ),
    inference(resolution,[],[f491,f924]) ).

fof(f2422,plain,
    ( ~ c1_1(a2524)
    | c0_1(a2524)
    | ~ spl0_60
    | spl0_138 ),
    inference(resolution,[],[f491,f863]) ).

fof(f2424,plain,
    ( ~ c1_1(a2534)
    | c0_1(a2534)
    | ~ spl0_60
    | spl0_120 ),
    inference(resolution,[],[f491,f779]) ).

fof(f2428,plain,
    ( spl0_121
    | ~ spl0_122
    | ~ spl0_60
    | spl0_120 ),
    inference(avatar_split_clause,[],[f2424,f778,f490,f787,f783]) ).

fof(f2429,plain,
    ( spl0_168
    | ~ spl0_140
    | ~ spl0_60
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2422,f862,f490,f871,f1068]) ).

fof(f2430,plain,
    ( spl0_152
    | ~ spl0_181
    | ~ spl0_60
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2421,f923,f490,f1551,f927]) ).

fof(f2437,plain,
    ( c0_1(a2521)
    | c1_1(a2521)
    | ~ spl0_62
    | ~ spl0_148 ),
    inference(resolution,[],[f502,f910]) ).

fof(f2445,plain,
    ( spl0_147
    | spl0_177
    | ~ spl0_62
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2437,f909,f501,f1285,f904]) ).

fof(f2453,plain,
    ( c0_1(a2517)
    | c1_1(a2517)
    | ~ spl0_64
    | spl0_156 ),
    inference(resolution,[],[f516,f947]) ).

fof(f2455,plain,
    ( c0_1(a2519)
    | c1_1(a2519)
    | ~ spl0_64
    | spl0_150 ),
    inference(resolution,[],[f516,f919]) ).

fof(f2459,plain,
    ( c0_1(a2536)
    | c1_1(a2536)
    | ~ spl0_64
    | spl0_117 ),
    inference(resolution,[],[f516,f765]) ).

fof(f2470,plain,
    ( spl0_118
    | spl0_119
    | ~ spl0_64
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2459,f764,f515,f773,f769]) ).

fof(f2472,plain,
    ( spl0_181
    | spl0_152
    | ~ spl0_64
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2455,f918,f515,f927,f1551]) ).

fof(f2473,plain,
    ( spl0_179
    | spl0_157
    | ~ spl0_64
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2453,f946,f515,f951,f1355]) ).

fof(f2491,plain,
    ( c1_1(a2521)
    | ~ c0_1(a2521)
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(resolution,[],[f406,f914]) ).

fof(f2495,plain,
    ( c1_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(resolution,[],[f406,f854]) ).

fof(f2508,plain,
    ( ~ spl0_137
    | spl0_174
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2495,f853,f405,f1232,f857]) ).

fof(f2510,plain,
    ( ~ spl0_177
    | spl0_147
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2491,f913,f405,f904,f1285]) ).

fof(f2511,plain,
    ( c1_1(a2553)
    | ~ c0_1(a2553)
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(resolution,[],[f1211,f406]) ).

fof(f2513,plain,
    ( ~ spl0_92
    | spl0_91
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2511,f1210,f405,f643,f647]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s3,plain,
    ( spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s5,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s8,plain,
    ( spl0_14
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s9,plain,
    ( spl0_7
    | spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s10,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s11,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s12,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s16,plain,
    ( spl0_12
    | ~ spl0_20
    | spl0_22
    | spl0_31 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s17,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_26
    | spl0_32 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s19,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s20,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_20
    | spl0_35 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s21,plain,
    ( ~ spl0_20
    | spl0_28
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s22,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_30
    | spl0_35 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s23,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s24,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_35
    | spl0_38 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s27,plain,
    ( ~ spl0_20
    | spl0_25
    | spl0_34
    | spl0_41 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_26
    | spl0_42 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s34,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s35,plain,
    ( ~ spl0_20
    | spl0_25
    | spl0_29
    | spl0_45 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s36,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_30
    | spl0_45 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s37,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s38,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_20
    | spl0_46 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s40,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s41,plain,
    ( ~ spl0_20
    | spl0_38
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s42,plain,
    ( spl0_11
    | spl0_13
    | ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s43,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_43
    | spl0_49 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s46,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_36
    | spl0_50 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s48,plain,
    ( ~ spl0_20
    | spl0_47
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s49,plain,
    ( spl0_10
    | ~ spl0_20
    | spl0_42
    | spl0_52 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s51,plain,
    ( ~ spl0_20
    | spl0_44
    | spl0_45
    | spl0_54 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s52,plain,
    ( spl0_5
    | ~ spl0_20
    | spl0_46
    | spl0_54 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s53,plain,
    ( ~ spl0_20
    | spl0_32
    | spl0_43
    | spl0_55 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s54,plain,
    ( ~ spl0_20
    | spl0_41
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s55,plain,
    ( spl0_5
    | ~ spl0_20
    | spl0_34
    | spl0_57 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s56,plain,
    ( spl0_4
    | ~ spl0_20
    | spl0_27
    | spl0_57 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s58,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s59,plain,
    ( ~ spl0_20
    | spl0_45
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s60,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_24
    | spl0_60 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s61,plain,
    ( ~ spl0_20
    | spl0_28
    | spl0_47
    | spl0_60 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s62,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s63,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s64,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s65,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_20
    | spl0_62 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s66,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_40
    | spl0_62 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s67,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_44
    | spl0_62 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s69,plain,
    ( ~ spl0_20
    | spl0_27
    | spl0_41
    | spl0_63 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s70,plain,
    ( ~ spl0_20
    | spl0_27
    | spl0_50
    | spl0_63 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s71,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_54
    | spl0_63 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s72,plain,
    ( ~ spl0_20
    | spl0_42
    | spl0_54
    | spl0_63 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s73,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_42
    | spl0_64 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s74,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_57
    | spl0_64 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s75,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s77,plain,
    ( ~ spl0_19
    | spl0_66 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s78,plain,
    ( ~ spl0_19
    | spl0_67 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s79,plain,
    ( ~ spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s81,plain,
    ( ~ spl0_18
    | spl0_69 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s82,plain,
    ( ~ spl0_18
    | spl0_70 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s83,plain,
    ( ~ spl0_18
    | spl0_71 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s85,plain,
    ( ~ spl0_29
    | spl0_72 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s86,plain,
    ( ~ spl0_29
    | spl0_73 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s87,plain,
    ( ~ spl0_29
    | spl0_74 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s89,plain,
    ( ~ spl0_24
    | spl0_75 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s90,plain,
    ( ~ spl0_24
    | spl0_76 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s91,plain,
    ( ~ spl0_24
    | spl0_77 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s93,plain,
    ( ~ spl0_2
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s94,plain,
    ( ~ spl0_2
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s95,plain,
    ( ~ spl0_2
    | spl0_80 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s96,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s98,plain,
    ( ~ spl0_17
    | spl0_82 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s99,plain,
    ( ~ spl0_17
    | spl0_83 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s101,plain,
    ( ~ spl0_26
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s102,plain,
    ( ~ spl0_26
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s103,plain,
    ( ~ spl0_26
    | spl0_86 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s105,plain,
    ( ~ spl0_9
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s106,plain,
    ( ~ spl0_9
    | spl0_88 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s107,plain,
    ( ~ spl0_9
    | spl0_89 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s109,plain,
    ( ~ spl0_7
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s110,plain,
    ( ~ spl0_7
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s111,plain,
    ( ~ spl0_7
    | spl0_92 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s112,plain,
    ( ~ spl0_7
    | spl0_20 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s117,plain,
    ( ~ spl0_14
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s118,plain,
    ( ~ spl0_14
    | spl0_97 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s119,plain,
    ( ~ spl0_14
    | spl0_98 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s121,plain,
    ( ~ spl0_13
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s122,plain,
    ( ~ spl0_13
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s123,plain,
    ( ~ spl0_13
    | spl0_101 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s125,plain,
    ( ~ spl0_11
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s126,plain,
    ( ~ spl0_11
    | spl0_103 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s127,plain,
    ( ~ spl0_11
    | spl0_104 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s133,plain,
    ( ~ spl0_53
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s134,plain,
    ( ~ spl0_53
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s135,plain,
    ( ~ spl0_53
    | spl0_110 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s137,plain,
    ( ~ spl0_10
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s138,plain,
    ( ~ spl0_10
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s139,plain,
    ( ~ spl0_10
    | spl0_113 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s145,plain,
    ( ~ spl0_43
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s146,plain,
    ( ~ spl0_43
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s147,plain,
    ( ~ spl0_43
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s149,plain,
    ( ~ spl0_5
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s150,plain,
    ( ~ spl0_5
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s151,plain,
    ( ~ spl0_5
    | spl0_122 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s153,plain,
    ( ~ spl0_4
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s154,plain,
    ( ~ spl0_4
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s155,plain,
    ( ~ spl0_4
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s157,plain,
    ( ~ spl0_59
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s158,plain,
    ( ~ spl0_59
    | spl0_127 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s159,plain,
    ( ~ spl0_59
    | spl0_128 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s161,plain,
    ( ~ spl0_28
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s162,plain,
    ( ~ spl0_28
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s163,plain,
    ( ~ spl0_28
    | spl0_131 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s165,plain,
    ( ~ spl0_33
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s166,plain,
    ( ~ spl0_33
    | spl0_133 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s167,plain,
    ( ~ spl0_33
    | spl0_134 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s169,plain,
    ( ~ spl0_37
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s170,plain,
    ( ~ spl0_37
    | spl0_136 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s171,plain,
    ( ~ spl0_37
    | spl0_137 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s173,plain,
    ( ~ spl0_6
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s174,plain,
    ( ~ spl0_6
    | spl0_139 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s175,plain,
    ( ~ spl0_6
    | spl0_140 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s177,plain,
    ( ~ spl0_12
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s178,plain,
    ( ~ spl0_12
    | spl0_142 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s179,plain,
    ( ~ spl0_12
    | spl0_143 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s181,plain,
    ( ~ spl0_40
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s182,plain,
    ( ~ spl0_40
    | spl0_145 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s183,plain,
    ( ~ spl0_40
    | spl0_146 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s185,plain,
    ( ~ spl0_34
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s186,plain,
    ( ~ spl0_34
    | spl0_148 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s187,plain,
    ( ~ spl0_34
    | spl0_149 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s189,plain,
    ( ~ spl0_1
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s190,plain,
    ( ~ spl0_1
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s191,plain,
    ( ~ spl0_1
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s192,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s193,plain,
    ( ~ spl0_3
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s194,plain,
    ( ~ spl0_3
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s195,plain,
    ( ~ spl0_3
    | spl0_155 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s197,plain,
    ( ~ spl0_15
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s198,plain,
    ( ~ spl0_15
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s199,plain,
    ( ~ spl0_15
    | spl0_158 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s206,plain,
    ( ~ spl0_22
    | spl0_23
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s208,plain,
    ( ~ spl0_22
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s212,plain,
    ( ~ spl0_22
    | spl0_23
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s224,plain,
    ( ~ spl0_35
    | ~ spl0_41
    | spl0_46 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s230,plain,
    ( ~ spl0_44
    | ~ spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s237,plain,
    ( ~ spl0_49
    | spl0_123
    | spl0_124
    | spl0_125 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s250,plain,
    ( ~ spl0_44
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s275,plain,
    ( ~ spl0_30
    | spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s287,plain,
    ( ~ spl0_22
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1343]) ).

cnf(s292,plain,
    ( ~ spl0_32
    | spl0_112
    | ~ spl0_113
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1376]) ).

cnf(s313,plain,
    ( ~ spl0_56
    | spl0_117
    | spl0_118
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s314,plain,
    ( ~ spl0_56
    | spl0_156
    | ~ spl0_158
    | spl0_179 ),
    inference(sat_conversion,[],[f1491]) ).

cnf(s334,plain,
    ( ~ spl0_52
    | ~ spl0_139
    | ~ spl0_140
    | spl0_168 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s337,plain,
    ( ~ spl0_48
    | spl0_138
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s340,plain,
    ( ~ spl0_44
    | spl0_135
    | ~ spl0_137
    | spl0_174 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s341,plain,
    ( ~ spl0_56
    | spl0_135
    | ~ spl0_136
    | spl0_174 ),
    inference(sat_conversion,[],[f1547]) ).

cnf(s344,plain,
    ( ~ spl0_21
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1569]) ).

cnf(s352,plain,
    ( ~ spl0_31
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s353,plain,
    ( ~ spl0_36
    | ~ spl0_82
    | ~ spl0_83
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s354,plain,
    ( ~ spl0_36
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s371,plain,
    ( ~ spl0_60
    | spl0_79
    | ~ spl0_80
    | spl0_164 ),
    inference(sat_conversion,[],[f1707]) ).

cnf(s377,plain,
    ( ~ spl0_61
    | spl0_117
    | spl0_119
    | spl0_171 ),
    inference(sat_conversion,[],[f1734]) ).

cnf(s379,plain,
    ( ~ spl0_61
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s384,plain,
    ( ~ spl0_22
    | spl0_42
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s390,plain,
    ( ~ spl0_22
    | spl0_42
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s402,plain,
    ( ~ spl0_32
    | spl0_79
    | ~ spl0_80
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1760]) ).

cnf(s423,plain,
    ( ~ spl0_23
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1784]) ).

cnf(s433,plain,
    ( ~ spl0_38
    | spl0_129
    | ~ spl0_131
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s437,plain,
    ( ~ spl0_38
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s440,plain,
    ( ~ spl0_38
    | spl0_102
    | ~ spl0_103
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s442,plain,
    ( ~ spl0_47
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s453,plain,
    ( ~ spl0_55
    | spl0_156
    | spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s479,plain,
    ( ~ spl0_41
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s490,plain,
    ( ~ spl0_46
    | spl0_102
    | ~ spl0_104
    | spl0_162 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s504,plain,
    ( ~ spl0_25
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1894]) ).

cnf(s527,plain,
    ( ~ spl0_35
    | spl0_78
    | spl0_79
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1943]) ).

cnf(s529,plain,
    ( ~ spl0_35
    | spl0_141
    | ~ spl0_143
    | spl0_169 ),
    inference(sat_conversion,[],[f1945]) ).

cnf(s533,plain,
    ( ~ spl0_41
    | spl0_147
    | ~ spl0_148
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s535,plain,
    ( ~ spl0_42
    | ~ spl0_76
    | ~ spl0_77
    | spl0_163 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s536,plain,
    ( ~ spl0_42
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s551,plain,
    ( ~ spl0_47
    | ~ spl0_52
    | spl0_60 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s553,plain,
    ( ~ spl0_54
    | ~ spl0_127
    | ~ spl0_128
    | spl0_185 ),
    inference(sat_conversion,[],[f2062]) ).

cnf(s555,plain,
    ( ~ spl0_54
    | spl0_157
    | ~ spl0_158
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2064]) ).

cnf(s565,plain,
    ( ~ spl0_63
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2103]) ).

cnf(s569,plain,
    ( ~ spl0_63
    | spl0_147
    | ~ spl0_149
    | spl0_177 ),
    inference(sat_conversion,[],[f2107]) ).

cnf(s579,plain,
    ( ~ spl0_23
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2115]) ).

cnf(s580,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2116]) ).

cnf(s582,plain,
    ( ~ spl0_25
    | spl0_156
    | ~ spl0_158
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2118]) ).

cnf(s583,plain,
    ( ~ spl0_25
    | spl0_153
    | ~ spl0_155
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2119]) ).

cnf(s592,plain,
    ( ~ spl0_41
    | ~ spl0_82
    | ~ spl0_83
    | spl0_175 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s593,plain,
    ( ~ spl0_46
    | spl0_108
    | spl0_109
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s600,plain,
    ( ~ spl0_46
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s608,plain,
    ( ~ spl0_45
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s612,plain,
    ( ~ spl0_45
    | spl0_129
    | ~ spl0_131
    | spl0_167 ),
    inference(sat_conversion,[],[f2147]) ).

cnf(s613,plain,
    ( ~ spl0_45
    | spl0_102
    | ~ spl0_103
    | spl0_162 ),
    inference(sat_conversion,[],[f2148]) ).

cnf(s618,plain,
    ( ~ spl0_47
    | spl0_141
    | ~ spl0_142
    | spl0_169 ),
    inference(sat_conversion,[],[f2153]) ).

cnf(s628,plain,
    ( spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s629,plain,
    ( ~ spl0_36
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2164]) ).

cnf(s632,plain,
    ( ~ spl0_58
    | spl0_138
    | ~ spl0_139
    | spl0_168 ),
    inference(sat_conversion,[],[f2167]) ).

cnf(s633,plain,
    ( ~ spl0_58
    | spl0_130
    | ~ spl0_131
    | spl0_167 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s634,plain,
    ( ~ spl0_58
    | spl0_108
    | ~ spl0_110
    | spl0_170 ),
    inference(sat_conversion,[],[f2169]) ).

cnf(s639,plain,
    ( ~ spl0_41
    | spl0_109
    | ~ spl0_110
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s640,plain,
    ( ~ spl0_46
    | spl0_112
    | ~ spl0_113
    | spl0_176 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s644,plain,
    ( ~ spl0_22
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s645,plain,
    ( ~ spl0_23
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f2205]) ).

cnf(s646,plain,
    ( ~ spl0_23
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s647,plain,
    ( ~ spl0_23
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2209]) ).

cnf(s648,plain,
    ( ~ spl0_27
    | spl0_90
    | ~ spl0_92
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s650,plain,
    ( ~ spl0_27
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s652,plain,
    ( ~ spl0_27
    | ~ spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f2229]) ).

cnf(s668,plain,
    ( ~ spl0_32
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s693,plain,
    ( ~ spl0_62
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2266]) ).

cnf(s708,plain,
    ( ~ spl0_54
    | ~ spl0_73
    | ~ spl0_74
    | spl0_165 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s709,plain,
    ( ~ spl0_41
    | ~ spl0_75
    | ~ spl0_77
    | spl0_163 ),
    inference(sat_conversion,[],[f2286]) ).

cnf(s712,plain,
    ( ~ spl0_31
    | ~ spl0_133
    | ~ spl0_134
    | spl0_182 ),
    inference(sat_conversion,[],[f2296]) ).

cnf(s714,plain,
    ( ~ spl0_35
    | spl0_90
    | ~ spl0_92
    | spl0_172 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s715,plain,
    ( ~ spl0_35
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2323]) ).

cnf(s717,plain,
    ( ~ spl0_47
    | spl0_150
    | spl0_151
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2348]) ).

cnf(s718,plain,
    ( ~ spl0_47
    | spl0_153
    | ~ spl0_155
    | spl0_184 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s719,plain,
    ( ~ spl0_50
    | ~ spl0_72
    | ~ spl0_73
    | spl0_165 ),
    inference(sat_conversion,[],[f2358]) ).

cnf(s720,plain,
    ( ~ spl0_50
    | spl0_130
    | ~ spl0_131
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s721,plain,
    ( ~ spl0_50
    | spl0_132
    | ~ spl0_133
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s722,plain,
    ( ~ spl0_50
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2361]) ).

cnf(s723,plain,
    ( ~ spl0_50
    | ~ spl0_148
    | ~ spl0_149
    | spl0_177 ),
    inference(sat_conversion,[],[f2362]) ).

cnf(s727,plain,
    ( ~ spl0_52
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2376]) ).

cnf(s732,plain,
    ( ~ spl0_57
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2399]) ).

cnf(s738,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | spl0_60 ),
    inference(sat_conversion,[],[f2416]) ).

cnf(s740,plain,
    ( ~ spl0_60
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2428]) ).

cnf(s741,plain,
    ( ~ spl0_60
    | spl0_138
    | ~ spl0_140
    | spl0_168 ),
    inference(sat_conversion,[],[f2429]) ).

cnf(s742,plain,
    ( ~ spl0_60
    | spl0_151
    | spl0_152
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2430]) ).

cnf(s746,plain,
    ( ~ spl0_62
    | spl0_147
    | ~ spl0_148
    | spl0_177 ),
    inference(sat_conversion,[],[f2445]) ).

cnf(s748,plain,
    ( ~ spl0_64
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2470]) ).

cnf(s750,plain,
    ( ~ spl0_64
    | spl0_150
    | spl0_152
    | spl0_181 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s751,plain,
    ( ~ spl0_64
    | spl0_156
    | spl0_157
    | spl0_179 ),
    inference(sat_conversion,[],[f2473]) ).

cnf(s767,plain,
    ( ~ spl0_42
    | ~ spl0_136
    | ~ spl0_137
    | spl0_174 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s769,plain,
    ( ~ spl0_42
    | spl0_147
    | ~ spl0_149
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s770,plain,
    ( ~ spl0_42
    | spl0_91
    | ~ spl0_92
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s771,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s645,s553,s158,s159,s59,s608,s133,s134,s135,s48,s618,s647,s177,s178,s179,s16,s11,s208,s89,s90,s91,s60,s741,s632,s334,s337,s41,s52,s600,s101,s102,s103,s30,s536,s105,s106,s107,s24,s437,s352,s185,s186,s187,s173,s174,s175,s55,s2,s714,s648,s56,s112,s732,s193,s194,s195,s1,s111,s109,s3]) ).

cnf(s772,plain,
    ( ~ spl0_6
    | spl0_46
    | ~ spl0_23
    | spl0_22
    | spl0_60
    | ~ spl0_7 ),
    inference(rat,[],[s645,s553,s158,s159,s59,s51,s608,s133,s134,s135,s48,s632,s334,s337,s41,s437,s185,s186,s187,s67,s693,s161,s162,s163,s61,s618,s647,s177,s178,s179,s16,s352,s173,s174,s175,s112,s250,s109,s110,s111]) ).

cnf(s773,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s650,s169,s170,s171,s23,s437,s185,s186,s187,s27,s583,s718,s40,s772,s600,s101,s102,s103,s30,s709,s535,s579,s11,s208,s89,s90,s91,s60,s740,s149,s150,s151,s771,s56,s112,s3,s732,s193,s194,s195,s1]) ).

cnf(s774,plain,
    ( ~ spl0_12
    | ~ spl0_47
    | ~ spl0_23 ),
    inference(rat,[],[s618,s647,s177,s178,s179]) ).

cnf(s775,plain,
    ( spl0_60
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s565,s121,s122,s123,s10,s774,s69,s650,s169,s170,s171,s23,s437,s185,s186,s187,s27,s583,s718,s40,s772,s600,s101,s102,s103,s30,s709,s535,s579,s11,s208,s89,s90,s91,s60,s112,s3,s195,s193,s1]) ).

cnf(s776,plain,
    ( ~ spl0_5
    | ~ spl0_60 ),
    inference(rat,[],[s740,s149,s150,s151]) ).

cnf(s777,plain,
    ( spl0_22
    | spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s69,s533,s565,s746,s121,s122,s123,s65,s10,s774,s40,s600,s101,s102,s103,s30,s767,s646,s11,s650,s169,s170,s171,s23,s437,s185,s186,s187,s55,s776,s775,s732,s193,s194,s195,s1,s112,s3]) ).

cnf(s778,plain,
    ( spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s70,s569,s723,s644,s777,s650,s169,s170,s171,s23,s437,s185,s186,s187,s55,s776,s775,s112,s3,s732,s193,s194,s195,s1]) ).

cnf(s779,plain,
    ( spl0_22
    | ~ spl0_23
    | spl0_36
    | spl0_31
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_20 ),
    inference(rat,[],[s720,s633,s162,s163,s58,s21,s769,s529,s647,s723,s177,s178,s179,s46,s16]) ).

cnf(s780,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s536,s652,s105,s106,s107,s54,s24,s314,s453,s555,s714,s197,s198,s199,s648,s75,s70,s71,s569,s723,s644,s779,s74,s748,s145,s146,s147,s354,s43,s741,s352,s173,s174,s175,s778,s437,s185,s186,s187,s55,s776,s775,s237,s153,s154,s155,s773,s732,s193,s194,s195,s109,s111,s112,s1,s3]) ).

cnf(s781,plain,
    ( ~ spl0_26
    | ~ spl0_46 ),
    inference(rat,[],[s600,s101,s102,s103]) ).

cnf(s782,plain,
    ( ~ spl0_24
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(rat,[],[s535,s579,s90,s91]) ).

cnf(s783,plain,
    ( ~ spl0_9
    | ~ spl0_42 ),
    inference(rat,[],[s536,s105,s106,s107]) ).

cnf(s784,plain,
    ( spl0_26
    | spl0_1 ),
    inference(rat,[],[s11,s208,s782,s89,s90,s91,s60,s371,s402,s17,s783,s30,s96,s95,s94,s780]) ).

cnf(s785,plain,
    ( spl0_60
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s341,s646,s169,s170,s171,s64,s377,s313,s145,s146,s147,s54,s53,s453,s709,s197,s198,s199,s579,s38,s89,s90,s91,s772,s60,s668,s117,s118,s119,s22,s275,s529,s177,s647,s178,s11,s179,s16,s352,s173,s174,s175,s40,s781,s784,s442,s93,s94,s95,s96,s780]) ).

cnf(s786,plain,
    ( spl0_22
    | spl0_1 ),
    inference(rat,[],[s783,s37,s58,s612,s633,s433,s161,s162,s163,s41,s21,s337,s354,s741,s785,s529,s647,s177,s178,s179,s16,s11,s352,s173,s174,s175,s40,s781,s784,s442,s93,s94,s95,s96,s780]) ).

cnf(s787,plain,
    ( ~ spl0_24
    | ~ spl0_22 ),
    inference(rat,[],[s208,s89,s90,s91]) ).

cnf(s788,plain,
    spl0_1,
    inference(rat,[],[s783,s37,s58,s612,s633,s433,s161,s162,s163,s41,s21,s337,s354,s527,s741,s371,s60,s787,s786,s173,s174,s175,s40,s781,s784,s442,s93,s94,s95,s96,s780]) ).

cnf(s789,plain,
    spl0_20,
    inference(rat,[],[s192,s788]) ).

cnf(s790,plain,
    ~ spl0_152,
    inference(rat,[],[s191,s788]) ).

cnf(s791,plain,
    ~ spl0_151,
    inference(rat,[],[s190,s788]) ).

cnf(s792,plain,
    ~ spl0_150,
    inference(rat,[],[s189,s788]) ).

cnf(s793,plain,
    ~ spl0_61,
    inference(rat,[],[s379,s790,s791,s792]) ).

cnf(s795,plain,
    ( ~ spl0_33
    | ~ spl0_50
    | ~ spl0_31 ),
    inference(rat,[],[s721,s712,s165,s166,s167]) ).

cnf(s796,plain,
    ( ~ spl0_23
    | spl0_46
    | ~ spl0_7
    | spl0_60
    | spl0_22 ),
    inference(rat,[],[s533,s723,s185,s186,s187,s19,s795,s69,s70,s565,s715,s121,s122,s123,s137,s138,s139,s10,s16,s49,s774,s551,s767,s40,s646,s772,s650,s169,s170,s171,s64,s789,s793]) ).

cnf(s797,plain,
    ( ~ spl0_3
    | ~ spl0_57 ),
    inference(rat,[],[s732,s193,s194,s195]) ).

cnf(s798,plain,
    ( spl0_64
    | spl0_23
    | ~ spl0_7 ),
    inference(rat,[],[s714,s770,s34,s73,s797,s74,s250,s109,s110,s111,s789]) ).

cnf(s799,plain,
    ( ~ spl0_64
    | spl0_44 ),
    inference(rat,[],[s608,s133,s134,s135,s51,s48,s555,s727,s751,s165,s166,s167,s197,s198,s199,s63,s62,s717,s750,s789,s793,s791,s792,s790]) ).

cnf(s800,plain,
    ( ~ spl0_47
    | spl0_42
    | ~ spl0_46
    | spl0_60 ),
    inference(rat,[],[s292,s640,s628,s138,s139,s58,s49,s738,s551,s789]) ).

cnf(s801,plain,
    ( ~ spl0_53
    | ~ spl0_46
    | ~ spl0_23
    | spl0_44 ),
    inference(rat,[],[s645,s553,s158,s159,s59,s634,s51,s593,s608,s133,s134,s135,s789]) ).

cnf(s802,plain,
    ( spl0_47
    | spl0_53 ),
    inference(rat,[],[s727,s165,s166,s167,s48,s63,s789,s793]) ).

cnf(s804,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_42
    | ~ spl0_23 ),
    inference(rat,[],[s767,s646]) ).

cnf(s807,plain,
    ( ~ spl0_11
    | ~ spl0_41 ),
    inference(rat,[],[s479,s125,s126,s127]) ).

cnf(s808,plain,
    ( ~ spl0_10
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s292,s640,s138,s139]) ).

cnf(s809,plain,
    ( ~ spl0_7
    | spl0_60
    | spl0_22 ),
    inference(rat,[],[s440,s613,s125,s126,s20,s808,s37,s24,s714,s17,s770,s783,s800,s802,s801,s781,s796,s798,s799,s250,s109,s110,s111,s789]) ).

cnf(s810,plain,
    ( ~ spl0_29
    | ~ spl0_23
    | spl0_7
    | spl0_22 ),
    inference(rat,[],[s629,s77,s78,s79,s9,s46,s344,s719,s423,s85,s86,s87,s789]) ).

cnf(s811,plain,
    ( ~ spl0_25
    | spl0_47 ),
    inference(rat,[],[s504,s157,s158,s159,s59,s634,s639,s54,s314,s582,s453,s197,s198,s199,s62,s608,s134,s135,s133,s802,s789,s793]) ).

cnf(s812,plain,
    ( spl0_60
    | spl0_22 ),
    inference(rat,[],[s46,s629,s722,s77,s78,s79,s181,s182,s183,s9,s66,s344,s810,s85,s86,s87,s35,s811,s608,s693,s133,s134,s135,s161,s162,s163,s802,s61,s442,s93,s94,s95,s3,s809,s789]) ).

cnf(s813,plain,
    ( ~ spl0_42
    | ~ spl0_46
    | ~ spl0_7 ),
    inference(rat,[],[s440,s613,s125,s126,s20,s37,s24,s808,s714,s17,s770,s783,s111,s110,s109,s781,s789]) ).

cnf(s814,plain,
    ( ~ spl0_46
    | ~ spl0_7
    | ~ spl0_23
    | spl0_22 ),
    inference(rat,[],[s70,s723,s652,s533,s54,s185,s186,s187,s314,s55,s555,s797,s72,s73,s813,s453,s197,s198,s199,s75,s565,s121,s122,s123,s10,s774,s802,s801,s776,s750,s742,s812,s250,s109,s110,s111,s789,s792,s790,s791]) ).

cnf(s815,plain,
    ( spl0_63
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149
    | spl0_27 ),
    inference(rat,[],[s533,s723,s69,s70,s789]) ).

cnf(s816,plain,
    ( ~ spl0_13
    | ~ spl0_63 ),
    inference(rat,[],[s565,s121,s122,s123]) ).

cnf(s817,plain,
    ( ~ spl0_37
    | ~ spl0_23
    | spl0_22 ),
    inference(rat,[],[s453,s197,s198,s199,s62,s774,s10,s816,s54,s533,s569,s815,s185,s186,s187,s55,s797,s73,s341,s650,s804,s646,s169,s170,s171,s776,s750,s742,s812,s789,s793,s792,s790,s791]) ).

cnf(s818,plain,
    ( ~ spl0_46
    | ~ spl0_23
    | spl0_22 ),
    inference(rat,[],[s608,s35,s133,s134,s135,s811,s802,s442,s93,s94,s95,s810,s3,s814,s789]) ).

cnf(s819,plain,
    ( ~ spl0_23
    | spl0_22 ),
    inference(rat,[],[s818,s64,s817,s793,s789]) ).

cnf(s820,plain,
    spl0_22,
    inference(rat,[],[s230,s781,s34,s37,s17,s527,s402,s783,s371,s73,s93,s94,s95,s797,s3,s74,s798,s819,s750,s742,s812,s789,s790,s792,s791]) ).

cnf(s821,plain,
    ~ spl0_24,
    inference(rat,[],[s787,s820]) ).

cnf(s822,plain,
    ( ~ spl0_7
    | ~ spl0_46
    | ~ spl0_23 ),
    inference(rat,[],[s652,s70,s54,s569,s723,s453,s644,s197,s198,s199,s185,s186,s187,s12,s55,s583,s776,s718,s800,s797,s193,s195,s802,s73,s801,s799,s390,s250,s813,s109,s110,s111,s789,s820,s821]) ).

cnf(s823,plain,
    ( ~ spl0_12
    | ~ spl0_30 ),
    inference(rat,[],[s275,s177,s178,s179]) ).

cnf(s824,plain,
    ( ~ spl0_46
    | ~ spl0_23 ),
    inference(rat,[],[s490,s287,s125,s126,s127,s5,s823,s36,s808,s344,s17,s85,s86,s87,s783,s35,s384,s608,s801,s133,s134,s135,s811,s802,s442,s93,s94,s95,s3,s822,s781,s820,s789]) ).

cnf(s826,plain,
    ( ~ spl0_29
    | ~ spl0_54
    | ~ spl0_23 ),
    inference(rat,[],[s708,s423,s86,s87]) ).

cnf(s834,plain,
    ( ~ spl0_14
    | ~ spl0_32 ),
    inference(rat,[],[s668,s117,s118,s119]) ).

cnf(s835,plain,
    ( ~ spl0_18
    | ~ spl0_23 ),
    inference(rat,[],[s580,s81,s82,s83]) ).

cnf(s836,plain,
    ( ~ spl0_36
    | ~ spl0_41
    | ~ spl0_47
    | spl0_18 ),
    inference(rat,[],[s353,s592,s98,s99,s8,s834,s628]) ).

cnf(s837,plain,
    ( ~ spl0_47
    | ~ spl0_23 ),
    inference(rat,[],[s720,s633,s162,s163,s58,s21,s836,s70,s816,s42,s224,s807,s54,s453,s197,s198,s199,s12,s583,s718,s341,s195,s193,s237,s153,s154,s155,s56,s797,s73,s799,s340,s646,s804,s650,s169,s171,s170,s64,s824,s835,s789,s821,s793]) ).

cnf(s838,plain,
    ~ spl0_23,
    inference(rat,[],[s826,s35,s51,s608,s133,s134,s135,s811,s802,s837,s340,s646,s169,s170,s171,s64,s824,s789,s793]) ).

cnf(s839,plain,
    ~ spl0_30,
    inference(rat,[],[s212,s820,s838]) ).

cnf(s840,plain,
    ~ spl0_25,
    inference(rat,[],[s206,s820,s838]) ).

cnf(s855,plain,
    ~ spl0_47,
    inference(rat,[],[s442,s93,s94,s95,s3,s798,s750,s717,s838,s790,s792,s791]) ).

cnf(s857,plain,
    spl0_53,
    inference(rat,[],[s802,s855]) ).

cnf(s861,plain,
    spl0_110,
    inference(rat,[],[s135,s857]) ).

cnf(s862,plain,
    ~ spl0_109,
    inference(rat,[],[s134,s857]) ).

cnf(s863,plain,
    ~ spl0_108,
    inference(rat,[],[s133,s857]) ).

cnf(s865,plain,
    ~ spl0_45,
    inference(rat,[],[s608,s863,s861,s862]) ).

cnf(s867,plain,
    spl0_29,
    inference(rat,[],[s35,s840,s789,s865]) ).

cnf(s868,plain,
    spl0_21,
    inference(rat,[],[s36,s839,s789,s865]) ).

cnf(s871,plain,
    spl0_74,
    inference(rat,[],[s87,s867]) ).

cnf(s872,plain,
    spl0_73,
    inference(rat,[],[s86,s867]) ).

cnf(s873,plain,
    spl0_72,
    inference(rat,[],[s85,s867]) ).

cnf(s878,plain,
    $false,
    inference(rat,[],[s344,s871,s868,s872,s873]) ).

fof(f2514,plain,
    $false,
    inference(avatar_sat_refutation,[],[s878]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN489+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17  % Computer : n009.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 16:15:45 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21  Running first-order theorem proving
% 0.06/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.06/1.10  % (3194297)Detected formulas, will run a generic FOF schedule.
% 3.06/1.10  % (3194306)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2326191596:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.06/1.10  % (3194306)Instruction limit reached! 
% 3.06/1.10  % (3194306)------------------------------
% 3.06/1.10  % (3194306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.10  % (3194306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.10  % (3194306)CaDiCaL version: 2.1.3
% 3.06/1.10  % (3194306)Termination reason: Instruction limit
% 3.06/1.10  % (3194306)Termination phase: Saturation
% 3.06/1.10  % (3194306)Time elapsed: 0.031 s
% 3.06/1.10  % (3194306)Peak memory usage: 88 MB
% 3.06/1.10  % (3194306)Instructions burned: 119 (million)
% 3.06/1.10  % (3194302)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=1310717498:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.06/1.10  % (3194303)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=1326335113:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.06/1.10  % (3194304)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=1560039042:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.06/1.10  % (3194308)dis-21_1_sil=8000:lcm=predicate:random_seed=4209608362: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)
% 3.06/1.10  % (3194305)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3113343760:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.06/1.10  % (3194307)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2409448902:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.06/1.10  % (3194308)First to succeed.
% 3.06/1.10  % (3194307)Also succeeded, but the first one will report.
% 3.06/1.10  % (3194308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3194297"
% 3.06/1.10  % (3194305)Instruction limit reached! 
% 3.06/1.10  % (3194305)------------------------------
% 3.06/1.10  % (3194305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.10  % (3194305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.10  % (3194305)CaDiCaL version: 2.1.3
% 3.06/1.10  % (3194305)Termination reason: Instruction limit
% 3.06/1.10  % (3194305)Termination phase: Saturation
% 3.06/1.10  % (3194305)Time elapsed: 0.071 s
% 3.06/1.10  % (3194305)Peak memory usage: 90 MB
% 3.06/1.10  % (3194305)Instructions burned: 110 (million)
% 3.06/1.10  % (3194310)lrs+10_1_sil=8000:sp=occurrence:random_seed=2402458330:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.06/1.10  % (3194310)Also succeeded, but the first one will report.
% 3.06/1.10  % (3194318)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3108626273:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.06/1.10  % (3194308)Refutation found. Thanks to Tanya!
% 3.06/1.10  % SZS status Theorem for theBenchmark
% 3.06/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.28  % (3194308)------------------------------
% 3.70/1.28  % (3194308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.28  % (3194308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.28  % (3194308)CaDiCaL version: 2.1.3
% 3.70/1.28  % (3194308)Termination reason: Refutation
% 3.70/1.28  % (3194308)Time elapsed: 0.044 s
% 3.70/1.28  % (3194308)Peak memory usage: 90 MB
% 3.70/1.28  % (3194308)Instructions burned: 73 (million)
% 3.70/1.28  % (3194308)------------------------------
% 3.70/1.28  % (3194308)------------------------------
% 3.70/1.28  % (3194297)Success in time 0.447 s
% 3.70/1.28  % Vampire exiting
%------------------------------------------------------------------------------