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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN504+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 01:59:14 PM UTC 2026

% Result   : Theorem 1.54s 1.14s
% Output   : Refutation 3.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  152
% Syntax   : Number of formulae    :  954 (  23 unt; 151 def)
%            Number of atoms       : 7038 (   0 equ)
%            Maximal formula atoms :  773 (   7 avg)
%            Number of connectives : 9315 (3231   ~;4520   |;1035   &)
%                                         ( 151 <=>; 378  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  189 ( 188 usr; 185 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  841 (   0 sgn 841   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a353)
          & c1_1(a353)
          & ~ c2_1(a353) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a355)
          & c3_1(a355)
          & ~ c1_1(a355) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a356)
          & c2_1(a356)
          & ~ c1_1(a356) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a357)
          & c3_1(a357)
          & ~ c0_1(a357) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a358)
          & ~ c0_1(a358)
          & ~ c3_1(a358) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a359)
          & ~ c1_1(a359)
          & ~ c3_1(a359) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c1_1(a360)
          & ~ c2_1(a360)
          & ~ c3_1(a360) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a361)
          & ~ c1_1(a361)
          & ~ c2_1(a361) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a363)
          & c2_1(a363)
          & ~ c3_1(a363) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a364)
          & ~ c0_1(a364)
          & ~ c1_1(a364) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a366)
          & ~ c2_1(a366)
          & ~ c3_1(a366) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a368)
          & c3_1(a368)
          & ~ c1_1(a368) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a369)
          & c3_1(a369)
          & ~ c2_1(a369) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a370)
          & c2_1(a370)
          & ~ c3_1(a370) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a375)
          & ~ c0_1(a375)
          & ~ c1_1(a375) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a376)
          & ~ c1_1(a376)
          & ~ c2_1(a376) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a379)
          & ~ c1_1(a379)
          & ~ c3_1(a379) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a380)
          & c1_1(a380)
          & ~ c3_1(a380) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a382)
          & ~ c0_1(a382)
          & ~ c2_1(a382) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a387)
          & ~ c1_1(a387)
          & ~ c2_1(a387) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a388)
          & ~ c2_1(a388)
          & ~ c3_1(a388) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a395)
          & ~ c0_1(a395)
          & ~ c2_1(a395) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a397)
          & c2_1(a397)
          & ~ c0_1(a397) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a398)
          & c3_1(a398)
          & ~ c2_1(a398) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a399)
          & ~ c0_1(a399)
          & ~ c3_1(a399) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a417)
          & ~ c1_1(a417)
          & ~ c3_1(a417) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a418)
          & ~ c2_1(a418)
          & ~ c3_1(a418) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c2_1(a446)
          & c3_1(a446)
          & ~ c0_1(a446) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a365)
          & c2_1(a365)
          & c3_1(a365) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a372)
          & c1_1(a372)
          & c2_1(a372) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a373)
          & c1_1(a373)
          & c3_1(a373) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a410)
          & c2_1(a410)
          & c3_1(a410) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | ~ c0_1(X7)
              | ~ c3_1(X7) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) )
        | hskp0 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | ~ c0_1(X11) ) )
        | hskp1 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | ~ c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp2 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c2_1(X14) ) )
        | hskp3
        | hskp4 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c2_1(X15) ) )
        | hskp5
        | hskp6 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp7 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c1_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | c3_1(X23)
              | ~ c1_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp6 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c1_1(X27)
              | ~ c3_1(X27) ) )
        | hskp8 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) )
        | hskp9 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c2_1(X31)
              | ~ c3_1(X31) ) )
        | hskp28 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c1_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp10 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c1_1(X34)
              | ~ c3_1(X34) ) )
        | hskp8
        | hskp11 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c3_1(X36)
              | ~ c1_1(X36) ) )
        | hskp12 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c2_1(X38)
              | ~ c3_1(X38) ) )
        | hskp13 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c1_1(X40) ) )
        | hskp4 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c1_1(X43)
              | ~ c3_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c1_1(X44) ) )
        | hskp29
        | hskp30 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c1_1(X45) ) )
        | hskp1
        | hskp14 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | hskp15 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | hskp5 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | ~ c2_1(X54)
              | ~ c3_1(X54) ) )
        | hskp4 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c2_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | ~ c3_1(X56) ) )
        | hskp16 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp17 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | hskp2
        | hskp18 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c0_1(X60) ) )
        | hskp11 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c3_1(X61)
              | ~ c1_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c0_1(X62) ) )
        | hskp3 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c3_1(X63)
              | ~ c1_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c0_1(X64)
              | ~ c2_1(X64) ) )
        | hskp28 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | c3_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c0_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | c3_1(X68)
              | ~ c2_1(X68) ) )
        | hskp28
        | hskp19 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | hskp20 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp17 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) )
        | hskp2
        | hskp15 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c0_1(X77)
              | ~ c2_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c3_1(X78)
              | ~ c1_1(X78) ) )
        | hskp10 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp16 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c0_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) )
        | hskp0 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp21
        | hskp4 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp22 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | ~ c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp23 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp24
        | hskp6 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp9
        | hskp19 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c1_1(X90)
              | ~ c2_1(X90) ) )
        | hskp16 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | hskp29
        | hskp8 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp3
        | hskp19 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | ~ c2_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c1_1(X95)
              | ~ c2_1(X95) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c2_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c2_1(X98)
              | ~ c3_1(X98) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c2_1(X99) ) )
        | hskp12
        | hskp8 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c0_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | c3_1(X101)
              | ~ c0_1(X101) ) )
        | hskp31 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp30
        | hskp23 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp24
        | hskp19 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c2_1(X105) ) )
        | hskp31 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp2
        | hskp25 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c0_1(X107) ) )
        | hskp26 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | c3_1(X108)
              | ~ c1_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) ) )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | c3_1(X111)
              | ~ c1_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c2_1(X112)
              | ~ c3_1(X112) ) )
        | hskp28 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | hskp2
        | hskp19 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | hskp29
        | hskp12 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c1_1(X115) ) )
        | hskp17
        | hskp16 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c0_1(X116)
              | ~ c2_1(X116) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c2_1(X117)
              | ~ c3_1(X117) ) )
        | hskp16 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c2_1(X118) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | hskp6 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp22
        | hskp20 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c1_1(X121)
              | ~ c3_1(X121) ) )
        | hskp30
        | hskp22 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) )
        | hskp29
        | hskp10 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c2_1(X123)
              | ~ c3_1(X123) ) )
        | hskp31
        | hskp18 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp24
        | hskp10 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp11 )
      & ( hskp29
        | hskp13
        | hskp15 )
      & ( hskp17
        | hskp1
        | hskp11 )
      & ( hskp13
        | hskp27
        | hskp4 )
      & ( hskp15
        | hskp11
        | hskp16 )
      & ( hskp25
        | hskp8
        | hskp11 )
      & ( hskp21
        | hskp18
        | hskp6 )
      & ( hskp24
        | hskp11
        | hskp4 )
      & ( hskp4
        | hskp6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a353)
            & c1_1(a353)
            & ~ c2_1(a353) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a355)
            & c3_1(a355)
            & ~ c1_1(a355) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a356)
            & c2_1(a356)
            & ~ c1_1(a356) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a357)
            & c3_1(a357)
            & ~ c0_1(a357) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a358)
            & ~ c0_1(a358)
            & ~ c3_1(a358) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a359)
            & ~ c1_1(a359)
            & ~ c3_1(a359) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c1_1(a360)
            & ~ c2_1(a360)
            & ~ c3_1(a360) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a361)
            & ~ c1_1(a361)
            & ~ c2_1(a361) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a363)
            & c2_1(a363)
            & ~ c3_1(a363) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a364)
            & ~ c0_1(a364)
            & ~ c1_1(a364) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a366)
            & ~ c2_1(a366)
            & ~ c3_1(a366) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a368)
            & c3_1(a368)
            & ~ c1_1(a368) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a369)
            & c3_1(a369)
            & ~ c2_1(a369) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a370)
            & c2_1(a370)
            & ~ c3_1(a370) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a375)
            & ~ c0_1(a375)
            & ~ c1_1(a375) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a376)
            & ~ c1_1(a376)
            & ~ c2_1(a376) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a379)
            & ~ c1_1(a379)
            & ~ c3_1(a379) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a380)
            & c1_1(a380)
            & ~ c3_1(a380) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a382)
            & ~ c0_1(a382)
            & ~ c2_1(a382) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a387)
            & ~ c1_1(a387)
            & ~ c2_1(a387) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a388)
            & ~ c2_1(a388)
            & ~ c3_1(a388) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a395)
            & ~ c0_1(a395)
            & ~ c2_1(a395) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a397)
            & c2_1(a397)
            & ~ c0_1(a397) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a398)
            & c3_1(a398)
            & ~ c2_1(a398) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a399)
            & ~ c0_1(a399)
            & ~ c3_1(a399) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a417)
            & ~ c1_1(a417)
            & ~ c3_1(a417) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a418)
            & ~ c2_1(a418)
            & ~ c3_1(a418) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c2_1(a446)
            & c3_1(a446)
            & ~ c0_1(a446) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a365)
            & c2_1(a365)
            & c3_1(a365) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a372)
            & c1_1(a372)
            & c2_1(a372) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a373)
            & c1_1(a373)
            & c3_1(a373) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a410)
            & c2_1(a410)
            & c3_1(a410) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c0_1(X7)
                | ~ c3_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) )
          | hskp0 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | ~ c0_1(X11) ) )
          | hskp1 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp2 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c2_1(X14) ) )
          | hskp3
          | hskp4 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) )
          | hskp5
          | hskp6 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp7 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | c3_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp6 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) )
          | hskp8 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | hskp9 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c2_1(X31)
                | ~ c3_1(X31) ) )
          | hskp28 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c1_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp10 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c1_1(X34)
                | ~ c3_1(X34) ) )
          | hskp8
          | hskp11 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c3_1(X36)
                | ~ c1_1(X36) ) )
          | hskp12 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c2_1(X38)
                | ~ c3_1(X38) ) )
          | hskp13 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) )
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c1_1(X43)
                | ~ c3_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | hskp29
          | hskp30 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | hskp1
          | hskp14 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | hskp15 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | hskp5 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | ~ c2_1(X54)
                | ~ c3_1(X54) ) )
          | hskp4 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c2_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | ~ c3_1(X56) ) )
          | hskp16 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp17 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp2
          | hskp18 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c0_1(X60) ) )
          | hskp11 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c0_1(X62) ) )
          | hskp3 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c0_1(X64)
                | ~ c2_1(X64) ) )
          | hskp28 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | c3_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c0_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c3_1(X68)
                | ~ c2_1(X68) ) )
          | hskp28
          | hskp19 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp20 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp17 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) )
          | hskp2
          | hskp15 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | ~ c2_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c1_1(X78) ) )
          | hskp10 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp16 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | hskp0 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp21
          | hskp4 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp22 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp23 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp24
          | hskp6 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp9
          | hskp19 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp16 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp29
          | hskp8 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp3
          | hskp19 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | ~ c2_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c2_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c2_1(X98)
                | ~ c3_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c2_1(X99) ) )
          | hskp12
          | hskp8 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c0_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c3_1(X101)
                | ~ c0_1(X101) ) )
          | hskp31 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp30
          | hskp23 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp24
          | hskp19 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c2_1(X105) ) )
          | hskp31 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp2
          | hskp25 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c0_1(X107) ) )
          | hskp26 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c3_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c3_1(X111)
                | ~ c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp28 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp2
          | hskp19 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | hskp29
          | hskp12 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c1_1(X115) ) )
          | hskp17
          | hskp16 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c0_1(X116)
                | ~ c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c2_1(X117)
                | ~ c3_1(X117) ) )
          | hskp16 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp6 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp22
          | hskp20 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c1_1(X121)
                | ~ c3_1(X121) ) )
          | hskp30
          | hskp22 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | hskp29
          | hskp10 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c2_1(X123)
                | ~ c3_1(X123) ) )
          | hskp31
          | hskp18 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp24
          | hskp10 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp11 )
        & ( hskp29
          | hskp13
          | hskp15 )
        & ( hskp17
          | hskp1
          | hskp11 )
        & ( hskp13
          | hskp27
          | hskp4 )
        & ( hskp15
          | hskp11
          | hskp16 )
        & ( hskp25
          | hskp8
          | hskp11 )
        & ( hskp21
          | hskp18
          | hskp6 )
        & ( hskp24
          | hskp11
          | hskp4 )
        & ( hskp4
          | hskp6 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a353)
        & c1_1(a353)
        & ~ c2_1(a353) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a355)
        & c3_1(a355)
        & ~ c1_1(a355) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a356)
        & c2_1(a356)
        & ~ c1_1(a356) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a357)
        & c3_1(a357)
        & ~ c0_1(a357) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a358)
        & ~ c0_1(a358)
        & ~ c3_1(a358) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a359)
        & ~ c1_1(a359)
        & ~ c3_1(a359) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a360)
        & ~ c2_1(a360)
        & ~ c3_1(a360) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a361)
        & ~ c1_1(a361)
        & ~ c2_1(a361) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a363)
        & c2_1(a363)
        & ~ c3_1(a363) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a364)
        & ~ c0_1(a364)
        & ~ c1_1(a364) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a366)
        & ~ c2_1(a366)
        & ~ c3_1(a366) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a368)
        & c3_1(a368)
        & ~ c1_1(a368) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a369)
        & c3_1(a369)
        & ~ c2_1(a369) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a370)
        & c2_1(a370)
        & ~ c3_1(a370) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a375)
        & ~ c0_1(a375)
        & ~ c1_1(a375) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a376)
        & ~ c1_1(a376)
        & ~ c2_1(a376) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a379)
        & ~ c1_1(a379)
        & ~ c3_1(a379) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a380)
        & c1_1(a380)
        & ~ c3_1(a380) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a382)
        & ~ c0_1(a382)
        & ~ c2_1(a382) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a387)
        & ~ c1_1(a387)
        & ~ c2_1(a387) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a388)
        & ~ c2_1(a388)
        & ~ c3_1(a388) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a395)
        & ~ c0_1(a395)
        & ~ c2_1(a395) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a397)
        & c2_1(a397)
        & ~ c0_1(a397) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a398)
        & c3_1(a398)
        & ~ c2_1(a398) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a399)
        & ~ c0_1(a399)
        & ~ c3_1(a399) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a417)
        & ~ c1_1(a417)
        & ~ c3_1(a417) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a418)
        & ~ c2_1(a418)
        & ~ c3_1(a418) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a446)
        & c3_1(a446)
        & ~ c0_1(a446) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a365)
        & c2_1(a365)
        & c3_1(a365) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a372)
        & c1_1(a372)
        & c2_1(a372) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a373)
        & c1_1(a373)
        & c3_1(a373) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a410)
        & c2_1(a410)
        & c3_1(a410) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c2_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | ~ c0_1(X7)
            | ~ c3_1(X7) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) )
      | hskp0 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | c3_1(X11)
            | ~ c0_1(X11) ) )
      | hskp1 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c1_1(X13)
            | ~ c2_1(X13) ) )
      | hskp2 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c2_1(X14) ) )
      | hskp3
      | hskp4 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) )
      | hskp5
      | hskp6 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | ~ c3_1(X17) ) )
      | hskp7 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c1_1(X19)
            | c2_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | ~ c1_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c2_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | c3_1(X23)
            | ~ c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp6 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | ~ c1_1(X27)
            | ~ c3_1(X27) ) )
      | hskp8 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) )
      | hskp9 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c2_1(X31)
            | ~ c3_1(X31) ) )
      | hskp28 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c1_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) )
      | hskp10 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c1_1(X34)
            | ~ c3_1(X34) ) )
      | hskp8
      | hskp11 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | c3_1(X36)
            | ~ c1_1(X36) ) )
      | hskp12 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c2_1(X38)
            | ~ c3_1(X38) ) )
      | hskp13 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c3_1(X40)
            | ~ c1_1(X40) ) )
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | ~ c1_1(X43)
            | ~ c3_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) )
      | hskp29
      | hskp30 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | hskp1
      | hskp14 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | hskp15 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | hskp5 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | ~ c2_1(X54)
            | ~ c3_1(X54) ) )
      | hskp4 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c2_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c2_1(X56)
            | ~ c3_1(X56) ) )
      | hskp16 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp17 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | hskp2
      | hskp18 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | ~ c0_1(X60) ) )
      | hskp11 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | c3_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c0_1(X62) ) )
      | hskp3 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c3_1(X63)
            | ~ c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c0_1(X64)
            | ~ c2_1(X64) ) )
      | hskp28 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | c3_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | ~ c0_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | c3_1(X68)
            | ~ c2_1(X68) ) )
      | hskp28
      | hskp19 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | hskp20 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c1_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c2_1(X75)
            | ~ c3_1(X75) ) )
      | hskp17 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) )
      | hskp2
      | hskp15 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c0_1(X77)
            | ~ c2_1(X77)
            | ~ c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c3_1(X78)
            | ~ c1_1(X78) ) )
      | hskp10 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | hskp16 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | hskp0 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp21
      | hskp4 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c2_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | hskp22 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | ~ c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | hskp23 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp24
      | hskp6 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp9
      | hskp19 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | ~ c1_1(X90)
            | ~ c2_1(X90) ) )
      | hskp16 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | hskp29
      | hskp8 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c3_1(X92)
            | ~ c0_1(X92) ) )
      | hskp3
      | hskp19 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c3_1(X93)
            | ~ c2_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c2_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c1_1(X95)
            | ~ c2_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c3_1(X96)
            | ~ c2_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c1_1(X97)
            | ~ c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | ~ c2_1(X98)
            | ~ c3_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c0_1(X99)
            | ~ c2_1(X99) ) )
      | hskp12
      | hskp8 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | ~ c0_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c3_1(X101)
            | ~ c0_1(X101) ) )
      | hskp31 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp30
      | hskp23 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp24
      | hskp19 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c2_1(X105) ) )
      | hskp31 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c0_1(X106) ) )
      | hskp2
      | hskp25 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c0_1(X107) ) )
      | hskp26 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c3_1(X108)
            | ~ c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c3_1(X111)
            | ~ c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c2_1(X112)
            | ~ c3_1(X112) ) )
      | hskp28 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | hskp2
      | hskp19 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c1_1(X114) ) )
      | hskp29
      | hskp12 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c1_1(X115) ) )
      | hskp17
      | hskp16 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c0_1(X116)
            | ~ c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c2_1(X117)
            | ~ c3_1(X117) ) )
      | hskp16 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c0_1(X118)
            | ~ c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | ~ c2_1(X119)
            | ~ c3_1(X119) ) )
      | hskp6 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c0_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp22
      | hskp20 )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c0_1(X121)
            | ~ c1_1(X121)
            | ~ c3_1(X121) ) )
      | hskp30
      | hskp22 )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c2_1(X122)
            | ~ c3_1(X122) ) )
      | hskp29
      | hskp10 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c2_1(X123)
            | ~ c3_1(X123) ) )
      | hskp31
      | hskp18 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | ~ c2_1(X124)
            | ~ c3_1(X124) ) )
      | hskp24
      | hskp10 )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | ~ c3_1(X125) ) )
      | hskp11 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( hskp13
      | hskp27
      | hskp4 )
    & ( hskp15
      | hskp11
      | hskp16 )
    & ( hskp25
      | hskp8
      | hskp11 )
    & ( hskp21
      | hskp18
      | hskp6 )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( hskp4
      | hskp6 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a353)
        & c1_1(a353)
        & ~ c2_1(a353) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a355)
        & c3_1(a355)
        & ~ c1_1(a355) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a356)
        & c2_1(a356)
        & ~ c1_1(a356) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a357)
        & c3_1(a357)
        & ~ c0_1(a357) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a358)
        & ~ c0_1(a358)
        & ~ c3_1(a358) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a359)
        & ~ c1_1(a359)
        & ~ c3_1(a359) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a360)
        & ~ c2_1(a360)
        & ~ c3_1(a360) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a361)
        & ~ c1_1(a361)
        & ~ c2_1(a361) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a363)
        & c2_1(a363)
        & ~ c3_1(a363) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a364)
        & ~ c0_1(a364)
        & ~ c1_1(a364) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a366)
        & ~ c2_1(a366)
        & ~ c3_1(a366) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a368)
        & c3_1(a368)
        & ~ c1_1(a368) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a369)
        & c3_1(a369)
        & ~ c2_1(a369) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a370)
        & c2_1(a370)
        & ~ c3_1(a370) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a375)
        & ~ c0_1(a375)
        & ~ c1_1(a375) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a376)
        & ~ c1_1(a376)
        & ~ c2_1(a376) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a379)
        & ~ c1_1(a379)
        & ~ c3_1(a379) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a380)
        & c1_1(a380)
        & ~ c3_1(a380) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a382)
        & ~ c0_1(a382)
        & ~ c2_1(a382) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a387)
        & ~ c1_1(a387)
        & ~ c2_1(a387) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a388)
        & ~ c2_1(a388)
        & ~ c3_1(a388) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a395)
        & ~ c0_1(a395)
        & ~ c2_1(a395) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a397)
        & c2_1(a397)
        & ~ c0_1(a397) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a398)
        & c3_1(a398)
        & ~ c2_1(a398) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a399)
        & ~ c0_1(a399)
        & ~ c3_1(a399) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a417)
        & ~ c1_1(a417)
        & ~ c3_1(a417) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a418)
        & ~ c2_1(a418)
        & ~ c3_1(a418) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a446)
        & c3_1(a446)
        & ~ c0_1(a446) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a365)
        & c2_1(a365)
        & c3_1(a365) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a372)
        & c1_1(a372)
        & c2_1(a372) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a373)
        & c1_1(a373)
        & c3_1(a373) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a410)
        & c2_1(a410)
        & c3_1(a410) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c2_1(X7)
          | ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp8
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp29
      | hskp30 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp1
      | hskp14 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X58] :
          ( c0_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp2
      | hskp18 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X61] :
          ( c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X65] :
          ( c0_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c0_1(X68)
          | c3_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp28
      | hskp19 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp2
      | hskp15 )
    & ( ! [X77] :
          ( c0_1(X77)
          | ~ c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp21
      | hskp4 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp24
      | hskp6 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp9
      | hskp19 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp3
      | hskp19 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c3_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp30
      | hskp23 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp24
      | hskp19 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp2
      | hskp25 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X108] :
          ( c2_1(X108)
          | c3_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp2
      | hskp19 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp12 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp16 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp22
      | hskp20 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | hskp29
      | hskp10 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp31
      | hskp18 )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp24
      | hskp10 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( hskp13
      | hskp27
      | hskp4 )
    & ( hskp15
      | hskp11
      | hskp16 )
    & ( hskp25
      | hskp8
      | hskp11 )
    & ( hskp21
      | hskp18
      | hskp6 )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( hskp4
      | hskp6 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a353)
        & c1_1(a353)
        & ~ c2_1(a353) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a355)
        & c3_1(a355)
        & ~ c1_1(a355) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a356)
        & c2_1(a356)
        & ~ c1_1(a356) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a357)
        & c3_1(a357)
        & ~ c0_1(a357) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a358)
        & ~ c0_1(a358)
        & ~ c3_1(a358) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a359)
        & ~ c1_1(a359)
        & ~ c3_1(a359) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a360)
        & ~ c2_1(a360)
        & ~ c3_1(a360) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a361)
        & ~ c1_1(a361)
        & ~ c2_1(a361) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a363)
        & c2_1(a363)
        & ~ c3_1(a363) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a364)
        & ~ c0_1(a364)
        & ~ c1_1(a364) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a366)
        & ~ c2_1(a366)
        & ~ c3_1(a366) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a368)
        & c3_1(a368)
        & ~ c1_1(a368) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a369)
        & c3_1(a369)
        & ~ c2_1(a369) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a370)
        & c2_1(a370)
        & ~ c3_1(a370) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a375)
        & ~ c0_1(a375)
        & ~ c1_1(a375) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a376)
        & ~ c1_1(a376)
        & ~ c2_1(a376) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a379)
        & ~ c1_1(a379)
        & ~ c3_1(a379) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a380)
        & c1_1(a380)
        & ~ c3_1(a380) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a382)
        & ~ c0_1(a382)
        & ~ c2_1(a382) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a387)
        & ~ c1_1(a387)
        & ~ c2_1(a387) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a388)
        & ~ c2_1(a388)
        & ~ c3_1(a388) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a395)
        & ~ c0_1(a395)
        & ~ c2_1(a395) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a397)
        & c2_1(a397)
        & ~ c0_1(a397) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a398)
        & c3_1(a398)
        & ~ c2_1(a398) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a399)
        & ~ c0_1(a399)
        & ~ c3_1(a399) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a417)
        & ~ c1_1(a417)
        & ~ c3_1(a417) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a418)
        & ~ c2_1(a418)
        & ~ c3_1(a418) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a446)
        & c3_1(a446)
        & ~ c0_1(a446) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a365)
        & c2_1(a365)
        & c3_1(a365) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a372)
        & c1_1(a372)
        & c2_1(a372) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a373)
        & c1_1(a373)
        & c3_1(a373) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a410)
        & c2_1(a410)
        & c3_1(a410) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c2_1(X7)
          | ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp8
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp29
      | hskp30 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp1
      | hskp14 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X58] :
          ( c0_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp2
      | hskp18 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X61] :
          ( c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X65] :
          ( c0_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c0_1(X68)
          | c3_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp28
      | hskp19 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp2
      | hskp15 )
    & ( ! [X77] :
          ( c0_1(X77)
          | ~ c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp21
      | hskp4 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp24
      | hskp6 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp9
      | hskp19 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp3
      | hskp19 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c3_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp30
      | hskp23 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp24
      | hskp19 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp2
      | hskp25 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X108] :
          ( c2_1(X108)
          | c3_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp2
      | hskp19 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp12 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp16 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp22
      | hskp20 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | hskp29
      | hskp10 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp31
      | hskp18 )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp24
      | hskp10 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( hskp13
      | hskp27
      | hskp4 )
    & ( hskp15
      | hskp11
      | hskp16 )
    & ( hskp25
      | hskp8
      | hskp11 )
    & ( hskp21
      | hskp18
      | hskp6 )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( hskp4
      | hskp6 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp4
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp24
    | hskp11
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp21
    | hskp18
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp25
    | hskp8
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp15
    | hskp11
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp17
    | hskp1
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X125] :
      ( ~ c1_1(X125)
      | ~ c2_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X120] :
      ( ~ c0_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp22
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X118,X119] :
      ( c3_1(X118)
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | ~ c1_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X116,X117] :
      ( c3_1(X116)
      | ~ c0_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | ~ c0_1(X117)
      | ~ c2_1(X117)
      | ~ c3_1(X117)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | c3_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X108,X109,X110] :
      ( c2_1(X108)
      | c3_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | c2_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X103] :
      ( c1_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp24
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X102] :
      ( c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp30
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X101,X100] :
      ( c1_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X98,X96,X97] :
      ( c1_1(X96)
      | c3_1(X96)
      | ~ c2_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | ~ c0_1(X98)
      | ~ c2_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X94,X95,X93] :
      ( c1_1(X93)
      | c3_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | c1_1(X94)
      | ~ c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X92] :
      ( c1_1(X92)
      | c3_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | hskp3
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X91] :
      ( c1_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | hskp29
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X90,X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X87] :
      ( c1_1(X87)
      | c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp24
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X81] :
      ( c0_1(X81)
      | ~ c2_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X80,X79] :
      ( c0_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X74,X75] :
      ( c0_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X68] :
      ( c0_1(X68)
      | c3_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | hskp28
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X63,X64] :
      ( c0_1(X63)
      | c3_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | c1_1(X60)
      | c2_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X57] :
      ( c0_1(X57)
      | c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X50,X51,X52] :
      ( c0_1(X50)
      | c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | hskp1
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X34] :
      ( c0_1(X34)
      | c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | hskp8
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | c2_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | c3_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c1_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | c1_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | c3_1(X11)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp31
    | c3_1(a410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp31
    | c2_1(a410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp31
    | c0_1(a410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp30
    | c3_1(a373) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp30
    | c1_1(a373) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp30
    | c0_1(a373) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp29
    | c2_1(a372) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp29
    | c1_1(a372) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp29
    | c0_1(a372) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp28
    | c3_1(a365) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp28
    | c2_1(a365) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp28
    | c1_1(a365) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp25
    | ~ c3_1(a417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp25
    | ~ c1_1(a417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp25
    | c0_1(a417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp24
    | ~ c3_1(a399) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp24
    | ~ c0_1(a399) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp24
    | c1_1(a399) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp23
    | ~ c2_1(a398) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp23
    | c3_1(a398) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp23
    | c1_1(a398) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp22
    | ~ c0_1(a397) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp22
    | c2_1(a397) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp22
    | c1_1(a397) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp21
    | ~ c2_1(a395) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp21
    | ~ c0_1(a395) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp21
    | c1_1(a395) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp20
    | ~ c3_1(a388) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp20
    | ~ c2_1(a388) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp20
    | c1_1(a388) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp19
    | ~ c2_1(a387) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp19
    | ~ c1_1(a387) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp19
    | ~ c0_1(a387) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp18
    | ~ c2_1(a382) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp18
    | ~ c0_1(a382) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp18
    | c3_1(a382) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp17
    | ~ c3_1(a380) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp17
    | c1_1(a380) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp17
    | c0_1(a380) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp16
    | ~ c3_1(a379) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp16
    | ~ c1_1(a379) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp16
    | c2_1(a379) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp15
    | ~ c2_1(a376) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp15
    | ~ c1_1(a376) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp15
    | c0_1(a376) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp14
    | ~ c1_1(a375) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp14
    | ~ c0_1(a375) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp14
    | c3_1(a375) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c3_1(a370) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp13
    | c2_1(a370) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp13
    | c0_1(a370) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp11
    | ~ c1_1(a368) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp11
    | c3_1(a368) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp11
    | c2_1(a368) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c3_1(a363) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp8
    | c2_1(a363) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp8
    | c1_1(a363) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp7
    | ~ c2_1(a361) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp7
    | ~ c1_1(a361) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | c3_1(a361) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp6
    | ~ c3_1(a360) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp6
    | ~ c2_1(a360) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp6
    | ~ c1_1(a360) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp5
    | ~ c3_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp5
    | ~ c1_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp5
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp4
    | ~ c3_1(a358) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp4
    | ~ c0_1(a358) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp4
    | c2_1(a358) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp3
    | ~ c0_1(a357) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp3
    | c3_1(a357) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp3
    | c1_1(a357) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp1
    | ~ c1_1(a355) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp1
    | c3_1(a355) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp1
    | c0_1(a355) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp0
    | ~ c2_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp0
    | c1_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp0
    | c0_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    ! [X118,X119] :
      ( c3_1(X118)
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | ~ c1_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f215,plain,
    ! [X116,X117] :
      ( c3_1(X116)
      | ~ c0_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | ~ c0_1(X117)
      | ~ c2_1(X117)
      | ~ c3_1(X117)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f216,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | c3_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X112)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f217,plain,
    ! [X108,X109,X110] :
      ( c2_1(X108)
      | c3_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | c2_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110) ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f219,plain,
    ! [X101,X100] :
      ( c1_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | c3_1(X101)
      | ~ c0_1(X101)
      | hskp31 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f220,plain,
    ! [X98,X96,X97] :
      ( c1_1(X96)
      | c3_1(X96)
      | ~ c2_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ c3_1(X97)
      | ~ c0_1(X98)
      | ~ c2_1(X98)
      | ~ c3_1(X98) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f221,plain,
    ! [X94,X95,X93] :
      ( c1_1(X93)
      | c3_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | c1_1(X94)
      | ~ c2_1(X94)
      | ~ c3_1(X94)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f222,plain,
    ! [X90,X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f223,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f224,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f225,plain,
    ! [X80,X79] :
      ( c0_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f227,plain,
    ! [X74,X75] :
      ( c0_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f231,plain,
    ! [X63,X64] :
      ( c0_1(X63)
      | c3_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f233,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | c1_1(X60)
      | c2_1(X60)
      | ~ c0_1(X60)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f234,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f236,plain,
    ! [X50,X51,X52] :
      ( c0_1(X50)
      | c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ c3_1(X52) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f237,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f238,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f241,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f246,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f247,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f248,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | c2_1(X22)
      | ~ c0_1(X22)
      | c2_1(X23)
      | c3_1(X23)
      | ~ c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f249,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c1_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | c1_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | c2_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f250,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | c2_1(X17)
      | ~ c3_1(X17)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f252,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | c3_1(X11)
      | ~ c0_1(X11)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f253,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f255,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f256,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f85]) ).

fof(f258,definition,
    ( spl0_1
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_2
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f263,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f261,f258]) ).

fof(f265,definition,
    ( spl0_3
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_4
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f270,plain,
    ( spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f7,f268,f265,f261]) ).

fof(f272,definition,
    ( spl0_5
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f275,definition,
    ( spl0_6
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f277,plain,
    ( spl0_1
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f275,f272,f258]) ).

fof(f279,definition,
    ( spl0_7
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_8
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f284,plain,
    ( spl0_3
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f9,f282,f279,f265]) ).

fof(f286,definition,
    ( spl0_9
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_10
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f291,plain,
    ( spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f10,f289,f265,f286]) ).

fof(f296,definition,
    ( spl0_12
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_13
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_14
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f305,plain,
    ( spl0_3
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f12,f303,f300,f265]) ).

fof(f307,definition,
    ( spl0_15
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_17
  <=> ! [X125] :
        ( ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ c2_1(X125) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f315,plain,
    ( ! [X125] :
        ( ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ c2_1(X125) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f316,plain,
    ( spl0_3
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f14,f314,f311,f265]) ).

fof(f322,definition,
    ( spl0_19
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_20
  <=> ! [X123] :
        ( ~ c0_1(X123)
        | ~ c3_1(X123)
        | ~ c2_1(X123) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X123] :
        ( ~ c0_1(X123)
        | ~ c3_1(X123)
        | ~ c2_1(X123) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f330,definition,
    ( spl0_21
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_22
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f336,definition,
    ( spl0_23
  <=> ! [X121] :
        ( ~ c0_1(X121)
        | ~ c3_1(X121)
        | ~ c1_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f337,plain,
    ( ! [X121] :
        ( ~ c1_1(X121)
        | ~ c3_1(X121)
        | ~ c0_1(X121) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f340,definition,
    ( spl0_24
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f343,definition,
    ( spl0_25
  <=> ! [X120] :
        ( ~ c0_1(X120)
        | ~ c2_1(X120)
        | ~ c1_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X120] :
        ( ~ c1_1(X120)
        | ~ c2_1(X120)
        | ~ c0_1(X120) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_24
    | spl0_21
    | ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f19,f343,f311,f330,f340]) ).

fof(f347,definition,
    ( spl0_26
  <=> ! [X118] :
        ( c3_1(X118)
        | ~ c2_1(X118)
        | ~ c0_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X118] :
        ( ~ c0_1(X118)
        | ~ c2_1(X118)
        | c3_1(X118) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_1
    | spl0_17
    | ~ spl0_16
    | spl0_26 ),
    inference(avatar_split_clause,[],[f214,f347,f311,f314,f258]) ).

fof(f350,plain,
    ( spl0_9
    | spl0_20
    | ~ spl0_16
    | spl0_26 ),
    inference(avatar_split_clause,[],[f215,f347,f311,f325,f286]) ).

fof(f360,definition,
    ( spl0_29
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f366,definition,
    ( spl0_31
  <=> ! [X113] :
        ( c2_1(X113)
        | ~ c3_1(X113)
        | ~ c1_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X113] :
        ( ~ c1_1(X113)
        | ~ c3_1(X113)
        | c2_1(X113) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f370,definition,
    ( spl0_32
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_33
  <=> ! [X111] :
        ( c2_1(X111)
        | ~ c1_1(X111)
        | c3_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | c2_1(X111)
        | c3_1(X111) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_32
    | spl0_20
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f216,f373,f311,f325,f370]) ).

fof(f377,definition,
    ( spl0_34
  <=> ! [X109] :
        ( c2_1(X109)
        | ~ c1_1(X109)
        | ~ c0_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X109] :
        ( ~ c1_1(X109)
        | c2_1(X109)
        | ~ c0_1(X109) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f379,plain,
    ( spl0_31
    | spl0_34
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f217,f373,f311,f377,f366]) ).

fof(f384,definition,
    ( spl0_36
  <=> ! [X107] :
        ( c2_1(X107)
        | ~ c0_1(X107)
        | c3_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | c2_1(X107)
        | c3_1(X107) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f390,definition,
    ( spl0_37
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_29
    | spl0_4
    | ~ spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f30,f390,f311,f268,f360]) ).

fof(f394,definition,
    ( spl0_38
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f396,plain,
    ( spl0_38
    | spl0_22
    | ~ spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f31,f390,f311,f333,f394]) ).

fof(f398,definition,
    ( spl0_39
  <=> ! [X100] :
        ( c1_1(X100)
        | ~ c3_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X100] :
        ( c1_1(X100)
        | ~ c3_1(X100)
        | ~ c0_1(X100) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_19
    | spl0_36
    | ~ spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f219,f398,f311,f384,f322]) ).

fof(f402,definition,
    ( spl0_40
  <=> ! [X99] :
        ( c1_1(X99)
        | ~ c2_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X99] :
        ( c1_1(X99)
        | ~ c2_1(X99)
        | ~ c0_1(X99) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f406,definition,
    ( spl0_41
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c2_1(X96)
        | c3_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X96] :
        ( c1_1(X96)
        | ~ c2_1(X96)
        | c3_1(X96) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f408,plain,
    ( spl0_20
    | spl0_23
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f220,f406,f311,f336,f325]) ).

fof(f410,definition,
    ( spl0_42
  <=> ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | ~ c1_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | ~ c2_1(X95)
        | c3_1(X95) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f412,plain,
    ( spl0_42
    | spl0_37
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f221,f406,f311,f390,f410]) ).

fof(f414,definition,
    ( spl0_43
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f417,definition,
    ( spl0_44
  <=> ! [X92] :
        ( c1_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X92] :
        ( c1_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_29
    | spl0_43
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f36,f417,f311,f414,f360]) ).

fof(f420,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f37,f417,f311,f307,f279]) ).

fof(f421,plain,
    ( spl0_9
    | spl0_42
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f222,f417,f311,f410,f286]) ).

fof(f426,definition,
    ( spl0_46
  <=> ! [X88] :
        ( c1_1(X88)
        | ~ c3_1(X88)
        | c2_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | ~ c3_1(X88)
        | c2_1(X88) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f429,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_16
    | spl0_46 ),
    inference(avatar_split_clause,[],[f40,f426,f311,f268,f258]) ).

fof(f430,plain,
    ( spl0_38
    | spl0_39
    | ~ spl0_16
    | spl0_46 ),
    inference(avatar_split_clause,[],[f223,f426,f311,f398,f394]) ).

fof(f432,definition,
    ( spl0_47
  <=> ! [X83] :
        ( c1_1(X83)
        | ~ c0_1(X83)
        | c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X83] :
        ( c1_1(X83)
        | ~ c0_1(X83)
        | c2_1(X83) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_21
    | spl0_17
    | ~ spl0_16
    | spl0_47 ),
    inference(avatar_split_clause,[],[f224,f432,f311,f314,f330]) ).

fof(f436,definition,
    ( spl0_48
  <=> ! [X82] :
        ( c0_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X82] :
        ( c0_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f440,definition,
    ( spl0_49
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f442,plain,
    ( spl0_49
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f44,f436,f311,f440]) ).

fof(f443,plain,
    ( spl0_9
    | spl0_17
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f225,f436,f311,f314,f286]) ).

fof(f446,definition,
    ( spl0_50
  <=> ! [X76] :
        ( c0_1(X76)
        | ~ c3_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | ~ c3_1(X76)
        | c0_1(X76) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f449,plain,
    ( spl0_14
    | spl0_17
    | ~ spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f227,f446,f311,f314,f303]) ).

fof(f452,definition,
    ( spl0_51
  <=> ! [X70] :
        ( c1_1(X70)
        | c3_1(X70)
        | c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | c3_1(X70)
        | c2_1(X70) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f456,definition,
    ( spl0_52
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c2_1(X68)
        | c3_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X68] :
        ( c0_1(X68)
        | ~ c2_1(X68)
        | c3_1(X68) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( spl0_29
    | spl0_32
    | ~ spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f51,f456,f311,f370,f360]) ).

fof(f461,definition,
    ( spl0_53
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c1_1(X63)
        | c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f462,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c3_1(X63) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f463,plain,
    ( spl0_32
    | spl0_40
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f231,f461,f311,f402,f370]) ).

fof(f465,plain,
    ( spl0_3
    | spl0_47
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f233,f461,f311,f432,f265]) ).

fof(f467,definition,
    ( spl0_54
  <=> ! [X58] :
        ( c0_1(X58)
        | ~ c3_1(X58)
        | c2_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X58] :
        ( c0_1(X58)
        | ~ c3_1(X58)
        | c2_1(X58) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f470,plain,
    ( spl0_14
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f57,f467,f311,f303]) ).

fof(f471,plain,
    ( spl0_9
    | spl0_17
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f234,f467,f311,f314,f286]) ).

fof(f473,plain,
    ( spl0_23
    | spl0_25
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f236,f467,f311,f343,f336]) ).

fof(f475,definition,
    ( spl0_55
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f477,plain,
    ( spl0_55
    | spl0_42
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f237,f467,f311,f410,f475]) ).

fof(f479,definition,
    ( spl0_56
  <=> ! [X47] :
        ( c0_1(X47)
        | ~ c2_1(X47)
        | ~ c1_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X47] :
        ( ~ c1_1(X47)
        | ~ c2_1(X47)
        | c0_1(X47) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( spl0_10
    | spl0_56
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f238,f467,f311,f479,f289]) ).

fof(f483,definition,
    ( spl0_57
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f486,definition,
    ( spl0_58
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f487,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c0_1(X45)
        | c2_1(X45) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f488,plain,
    ( spl0_57
    | spl0_13
    | ~ spl0_16
    | spl0_58 ),
    inference(avatar_split_clause,[],[f63,f486,f311,f300,f483]) ).

fof(f493,definition,
    ( spl0_59
  <=> ! [X37] :
        ( c0_1(X37)
        | c3_1(X37)
        | c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X37] :
        ( c0_1(X37)
        | c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( spl0_12
    | spl0_17
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f241,f493,f311,f314,f296]) ).

fof(f498,definition,
    ( spl0_60
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c3_1(X34)
        | c1_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X34] :
        ( c1_1(X34)
        | ~ c3_1(X34)
        | c0_1(X34) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f69,f498,f311,f279,f265]) ).

fof(f503,definition,
    ( spl0_61
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c2_1(X30)
        | c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f504,plain,
    ( ! [X30] :
        ( c1_1(X30)
        | ~ c2_1(X30)
        | c0_1(X30) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f507,plain,
    ( spl0_7
    | spl0_31
    | ~ spl0_16
    | spl0_61 ),
    inference(avatar_split_clause,[],[f246,f503,f311,f366,f279]) ).

fof(f508,plain,
    ( spl0_1
    | spl0_48
    | ~ spl0_16
    | spl0_61 ),
    inference(avatar_split_clause,[],[f247,f503,f311,f436,f258]) ).

fof(f510,definition,
    ( spl0_62
  <=> ! [X21] :
        ( c0_1(X21)
        | c3_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X21] :
        ( c1_1(X21)
        | c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( spl0_33
    | spl0_47
    | ~ spl0_16
    | spl0_62 ),
    inference(avatar_split_clause,[],[f248,f510,f311,f432,f373]) ).

fof(f513,plain,
    ( spl0_31
    | spl0_51
    | ~ spl0_16
    | spl0_62 ),
    inference(avatar_split_clause,[],[f249,f510,f311,f452,f366]) ).

fof(f515,definition,
    ( spl0_63
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f517,plain,
    ( spl0_63
    | spl0_54
    | ~ spl0_16
    | spl0_62 ),
    inference(avatar_split_clause,[],[f250,f510,f311,f467,f515]) ).

fof(f519,definition,
    ( spl0_64
  <=> ! [X15] :
        ( c0_1(X15)
        | c2_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f520,plain,
    ( ! [X15] :
        ( c1_1(X15)
        | c2_1(X15)
        | c0_1(X15) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( spl0_1
    | spl0_55
    | ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f78,f519,f311,f475,f258]) ).

fof(f524,plain,
    ( spl0_13
    | spl0_36
    | ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f252,f519,f311,f384,f300]) ).

fof(f525,plain,
    ( spl0_49
    | spl0_56
    | ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f253,f519,f311,f479,f440]) ).

fof(f530,plain,
    ( spl0_49
    | spl0_60
    | ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f255,f519,f311,f498,f440]) ).

fof(f531,plain,
    ( spl0_61
    | spl0_62
    | ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f256,f519,f311,f510,f503]) ).

fof(f533,definition,
    ( spl0_66
  <=> c3_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f536,plain,
    ( spl0_66
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f86,f322,f533]) ).

fof(f538,definition,
    ( spl0_67
  <=> c2_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f540,plain,
    ( spl0_67
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f87,f322,f538]) ).

fof(f542,definition,
    ( spl0_68
  <=> c0_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f543,plain,
    ( c0_1(a410)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( spl0_68
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f88,f322,f542]) ).

fof(f548,definition,
    ( spl0_69
  <=> c3_1(a373) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_69
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f90,f333,f548]) ).

fof(f553,definition,
    ( spl0_70
  <=> c1_1(a373) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f554,plain,
    ( c1_1(a373)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( spl0_70
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f91,f333,f553]) ).

fof(f557,definition,
    ( spl0_71
  <=> c0_1(a373) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f558,plain,
    ( c0_1(a373)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( spl0_71
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f92,f333,f557]) ).

fof(f562,definition,
    ( spl0_72
  <=> c2_1(a372) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_72
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f94,f307,f562]) ).

fof(f567,definition,
    ( spl0_73
  <=> c1_1(a372) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f568,plain,
    ( c1_1(a372)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( spl0_73
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f95,f307,f567]) ).

fof(f571,definition,
    ( spl0_74
  <=> c0_1(a372) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f573,plain,
    ( spl0_74
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f96,f307,f571]) ).

fof(f576,definition,
    ( spl0_75
  <=> c3_1(a365) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f579,plain,
    ( spl0_75
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f98,f370,f576]) ).

fof(f581,definition,
    ( spl0_76
  <=> c2_1(a365) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f583,plain,
    ( spl0_76
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f99,f370,f581]) ).

fof(f585,definition,
    ( spl0_77
  <=> c1_1(a365) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f586,plain,
    ( c1_1(a365)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( spl0_77
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f100,f370,f585]) ).

fof(f618,definition,
    ( spl0_84
  <=> c3_1(a417) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ spl0_84
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f110,f282,f618]) ).

fof(f623,definition,
    ( spl0_85
  <=> c1_1(a417) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ c1_1(a417)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f625,plain,
    ( ~ spl0_85
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f111,f282,f623]) ).

fof(f627,definition,
    ( spl0_86
  <=> c0_1(a417) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f629,plain,
    ( spl0_86
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f112,f282,f627]) ).

fof(f632,definition,
    ( spl0_87
  <=> c3_1(a399) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ spl0_87
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f114,f268,f632]) ).

fof(f637,definition,
    ( spl0_88
  <=> c0_1(a399) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ spl0_88
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f268,f637]) ).

fof(f641,definition,
    ( spl0_89
  <=> c1_1(a399) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f642,plain,
    ( c1_1(a399)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( spl0_89
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f268,f641]) ).

fof(f646,definition,
    ( spl0_90
  <=> c2_1(a398) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ spl0_90
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f118,f394,f646]) ).

fof(f651,definition,
    ( spl0_91
  <=> c3_1(a398) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f653,plain,
    ( spl0_91
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f119,f394,f651]) ).

fof(f655,definition,
    ( spl0_92
  <=> c1_1(a398) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f656,plain,
    ( c1_1(a398)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( spl0_92
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f120,f394,f655]) ).

fof(f660,definition,
    ( spl0_93
  <=> c0_1(a397) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ c0_1(a397)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( ~ spl0_93
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f122,f330,f660]) ).

fof(f665,definition,
    ( spl0_94
  <=> c2_1(a397) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f667,plain,
    ( spl0_94
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f123,f330,f665]) ).

fof(f669,definition,
    ( spl0_95
  <=> c1_1(a397) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f670,plain,
    ( c1_1(a397)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f671,plain,
    ( spl0_95
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f124,f330,f669]) ).

fof(f674,definition,
    ( spl0_96
  <=> c2_1(a395) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ spl0_96
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f126,f275,f674]) ).

fof(f679,definition,
    ( spl0_97
  <=> c0_1(a395) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f680,plain,
    ( ~ c0_1(a395)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( ~ spl0_97
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f127,f275,f679]) ).

fof(f683,definition,
    ( spl0_98
  <=> c1_1(a395) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f684,plain,
    ( c1_1(a395)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f685,plain,
    ( spl0_98
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f128,f275,f683]) ).

fof(f688,definition,
    ( spl0_99
  <=> c3_1(a388) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ spl0_99
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f130,f340,f688]) ).

fof(f693,definition,
    ( spl0_100
  <=> c2_1(a388) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_100
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f131,f340,f693]) ).

fof(f697,definition,
    ( spl0_101
  <=> c1_1(a388) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f698,plain,
    ( c1_1(a388)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_101
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f132,f340,f697]) ).

fof(f702,definition,
    ( spl0_102
  <=> c2_1(a387) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ spl0_102
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f134,f360,f702]) ).

fof(f707,definition,
    ( spl0_103
  <=> c1_1(a387) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ c1_1(a387)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( ~ spl0_103
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f135,f360,f707]) ).

fof(f711,definition,
    ( spl0_104
  <=> c0_1(a387) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ c0_1(a387)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( ~ spl0_104
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f136,f360,f711]) ).

fof(f716,definition,
    ( spl0_105
  <=> c2_1(a382) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ spl0_105
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f138,f272,f716]) ).

fof(f721,definition,
    ( spl0_106
  <=> c0_1(a382) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ c0_1(a382)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f723,plain,
    ( ~ spl0_106
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f139,f272,f721]) ).

fof(f725,definition,
    ( spl0_107
  <=> c3_1(a382) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f727,plain,
    ( spl0_107
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f140,f272,f725]) ).

fof(f730,definition,
    ( spl0_108
  <=> c3_1(a380) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_108
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f142,f303,f730]) ).

fof(f735,definition,
    ( spl0_109
  <=> c1_1(a380) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f736,plain,
    ( c1_1(a380)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( spl0_109
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f143,f303,f735]) ).

fof(f739,definition,
    ( spl0_110
  <=> c0_1(a380) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f740,plain,
    ( c0_1(a380)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f741,plain,
    ( spl0_110
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f144,f303,f739]) ).

fof(f744,definition,
    ( spl0_111
  <=> c3_1(a379) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ spl0_111
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f146,f286,f744]) ).

fof(f749,definition,
    ( spl0_112
  <=> c1_1(a379) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f750,plain,
    ( ~ c1_1(a379)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f751,plain,
    ( ~ spl0_112
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f147,f286,f749]) ).

fof(f753,definition,
    ( spl0_113
  <=> c2_1(a379) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f755,plain,
    ( spl0_113
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f148,f286,f753]) ).

fof(f758,definition,
    ( spl0_114
  <=> c2_1(a376) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ spl0_114
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f150,f289,f758]) ).

fof(f763,definition,
    ( spl0_115
  <=> c1_1(a376) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f764,plain,
    ( ~ c1_1(a376)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f765,plain,
    ( ~ spl0_115
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f151,f289,f763]) ).

fof(f767,definition,
    ( spl0_116
  <=> c0_1(a376) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f769,plain,
    ( spl0_116
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f152,f289,f767]) ).

fof(f772,definition,
    ( spl0_117
  <=> c1_1(a375) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ c1_1(a375)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f775,plain,
    ( ~ spl0_117
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f154,f483,f772]) ).

fof(f777,definition,
    ( spl0_118
  <=> c0_1(a375) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ c0_1(a375)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f779,plain,
    ( ~ spl0_118
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f155,f483,f777]) ).

fof(f781,definition,
    ( spl0_119
  <=> c3_1(a375) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_119
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f156,f483,f781]) ).

fof(f786,definition,
    ( spl0_120
  <=> c3_1(a370) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f789,plain,
    ( ~ spl0_120
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f158,f296,f786]) ).

fof(f791,definition,
    ( spl0_121
  <=> c2_1(a370) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f793,plain,
    ( spl0_121
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f159,f296,f791]) ).

fof(f795,definition,
    ( spl0_122
  <=> c0_1(a370) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f796,plain,
    ( c0_1(a370)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f797,plain,
    ( spl0_122
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f160,f296,f795]) ).

fof(f814,definition,
    ( spl0_126
  <=> c1_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c1_1(a368)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f817,plain,
    ( ~ spl0_126
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f166,f265,f814]) ).

fof(f819,definition,
    ( spl0_127
  <=> c3_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f821,plain,
    ( spl0_127
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f167,f265,f819]) ).

fof(f823,definition,
    ( spl0_128
  <=> c2_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f825,plain,
    ( spl0_128
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f168,f265,f823]) ).

fof(f856,definition,
    ( spl0_135
  <=> c3_1(a363) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ spl0_135
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f178,f279,f856]) ).

fof(f861,definition,
    ( spl0_136
  <=> c2_1(a363) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f863,plain,
    ( spl0_136
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f179,f279,f861]) ).

fof(f865,definition,
    ( spl0_137
  <=> c1_1(a363) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f866,plain,
    ( c1_1(a363)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f867,plain,
    ( spl0_137
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f180,f279,f865]) ).

fof(f870,definition,
    ( spl0_138
  <=> c2_1(a361) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ spl0_138
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f182,f515,f870]) ).

fof(f875,definition,
    ( spl0_139
  <=> c1_1(a361) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f876,plain,
    ( ~ c1_1(a361)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f877,plain,
    ( ~ spl0_139
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f183,f515,f875]) ).

fof(f879,definition,
    ( spl0_140
  <=> c3_1(a361) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f881,plain,
    ( spl0_140
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f184,f515,f879]) ).

fof(f884,definition,
    ( spl0_141
  <=> c3_1(a360) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f258,f884]) ).

fof(f889,definition,
    ( spl0_142
  <=> c2_1(a360) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f891,plain,
    ( ~ spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f258,f889]) ).

fof(f893,definition,
    ( spl0_143
  <=> c1_1(a360) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ c1_1(a360)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f895,plain,
    ( ~ spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f258,f893]) ).

fof(f896,plain,
    ( spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f258,f311]) ).

fof(f898,definition,
    ( spl0_144
  <=> c3_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f901,plain,
    ( ~ spl0_144
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f190,f475,f898]) ).

fof(f903,definition,
    ( spl0_145
  <=> c1_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ c1_1(a359)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f905,plain,
    ( ~ spl0_145
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f191,f475,f903]) ).

fof(f907,definition,
    ( spl0_146
  <=> c0_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ spl0_146
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f192,f475,f907]) ).

fof(f912,definition,
    ( spl0_147
  <=> c3_1(a358) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ spl0_147
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f194,f261,f912]) ).

fof(f917,definition,
    ( spl0_148
  <=> c0_1(a358) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f918,plain,
    ( ~ c0_1(a358)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f919,plain,
    ( ~ spl0_148
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f195,f261,f917]) ).

fof(f921,definition,
    ( spl0_149
  <=> c2_1(a358) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f923,plain,
    ( spl0_149
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f261,f921]) ).

fof(f924,plain,
    ( spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f197,f261,f311]) ).

fof(f926,definition,
    ( spl0_150
  <=> c0_1(a357) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ c0_1(a357)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( ~ spl0_150
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f198,f414,f926]) ).

fof(f931,definition,
    ( spl0_151
  <=> c3_1(a357) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f933,plain,
    ( spl0_151
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f199,f414,f931]) ).

fof(f935,definition,
    ( spl0_152
  <=> c1_1(a357) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f936,plain,
    ( c1_1(a357)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f937,plain,
    ( spl0_152
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f200,f414,f935]) ).

fof(f954,definition,
    ( spl0_156
  <=> c1_1(a355) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f955,plain,
    ( ~ c1_1(a355)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f957,plain,
    ( ~ spl0_156
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f206,f300,f954]) ).

fof(f959,definition,
    ( spl0_157
  <=> c3_1(a355) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f961,plain,
    ( spl0_157
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f207,f300,f959]) ).

fof(f963,definition,
    ( spl0_158
  <=> c0_1(a355) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f964,plain,
    ( c0_1(a355)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f965,plain,
    ( spl0_158
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f208,f300,f963]) ).

fof(f968,definition,
    ( spl0_159
  <=> c2_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f971,plain,
    ( ~ spl0_159
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f210,f440,f968]) ).

fof(f973,definition,
    ( spl0_160
  <=> c1_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f974,plain,
    ( c1_1(a353)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f975,plain,
    ( spl0_160
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f211,f440,f973]) ).

fof(f977,definition,
    ( spl0_161
  <=> c0_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f978,plain,
    ( c0_1(a353)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f979,plain,
    ( spl0_161
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f212,f440,f977]) ).

fof(f981,plain,
    ( ~ c3_1(a372)
    | ~ c2_1(a372)
    | ~ spl0_17
    | ~ spl0_73 ),
    inference(resolution,[],[f315,f568]) ).

fof(f986,definition,
    ( spl0_162
  <=> c3_1(a372) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ c2_1(a372)
    | ~ c0_1(a372)
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(resolution,[],[f344,f568]) ).

fof(f997,plain,
    ( ~ c2_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_25
    | ~ spl0_109 ),
    inference(resolution,[],[f344,f736]) ).

fof(f1000,definition,
    ( spl0_163
  <=> c2_1(a380) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1009,definition,
    ( spl0_164
  <=> c3_1(a397) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ c3_1(a395)
    | c2_1(a395)
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(resolution,[],[f367,f684]) ).

fof(f1018,definition,
    ( spl0_165
  <=> c3_1(a395) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1020,plain,
    ( spl0_96
    | ~ spl0_165
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1013,f683,f366,f1018,f674]) ).

fof(f1076,plain,
    ( ~ c3_1(a373)
    | ~ c2_1(a373)
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(resolution,[],[f554,f315]) ).

fof(f1078,definition,
    ( spl0_168
  <=> c2_1(a373) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1081,plain,
    ( ~ spl0_168
    | ~ spl0_69
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1076,f553,f314,f548,f1078]) ).

fof(f1087,plain,
    ( ~ c3_1(a373)
    | ~ c2_1(a373)
    | ~ spl0_20
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f326]) ).

fof(f1088,plain,
    ( ~ spl0_168
    | ~ spl0_69
    | ~ spl0_20
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1087,f557,f325,f548,f1078]) ).

fof(f1090,plain,
    ( ~ c3_1(a398)
    | c2_1(a398)
    | ~ spl0_31
    | ~ spl0_92 ),
    inference(resolution,[],[f656,f367]) ).

fof(f1094,plain,
    ( spl0_90
    | ~ spl0_91
    | ~ spl0_31
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1090,f655,f366,f651,f646]) ).

fof(f1100,plain,
    ( ~ c3_1(a355)
    | ~ c2_1(a355)
    | ~ spl0_20
    | ~ spl0_158 ),
    inference(resolution,[],[f964,f326]) ).

fof(f1102,definition,
    ( spl0_169
  <=> c2_1(a355) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1105,plain,
    ( ~ spl0_169
    | ~ spl0_157
    | ~ spl0_20
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1100,f963,f325,f959,f1102]) ).

fof(f1108,plain,
    ( ~ c3_1(a355)
    | ~ c2_1(a355)
    | ~ spl0_37
    | spl0_156 ),
    inference(resolution,[],[f391,f955]) ).

fof(f1110,plain,
    ( ~ c3_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_37
    | spl0_126 ),
    inference(resolution,[],[f391,f815]) ).

fof(f1117,plain,
    ( ~ spl0_128
    | ~ spl0_127
    | ~ spl0_37
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1110,f814,f390,f819,f823]) ).

fof(f1118,plain,
    ( ~ spl0_169
    | ~ spl0_157
    | ~ spl0_37
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1108,f954,f390,f959,f1102]) ).

fof(f1121,plain,
    ( ~ c2_1(a355)
    | ~ c0_1(a355)
    | ~ spl0_40
    | spl0_156 ),
    inference(resolution,[],[f403,f955]) ).

fof(f1123,plain,
    ( ~ c2_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_40
    | spl0_126 ),
    inference(resolution,[],[f403,f815]) ).

fof(f1124,plain,
    ( ~ c2_1(a379)
    | ~ c0_1(a379)
    | ~ spl0_40
    | spl0_112 ),
    inference(resolution,[],[f403,f750]) ).

fof(f1129,definition,
    ( spl0_170
  <=> c0_1(a379) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1132,plain,
    ( ~ spl0_170
    | ~ spl0_113
    | ~ spl0_40
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1124,f749,f402,f753,f1129]) ).

fof(f1134,definition,
    ( spl0_171
  <=> c0_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1135,plain,
    ( ~ c0_1(a368)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1136,plain,
    ( ~ spl0_171
    | ~ spl0_128
    | ~ spl0_40
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1123,f814,f402,f823,f1134]) ).

fof(f1138,plain,
    ( ~ spl0_158
    | ~ spl0_169
    | ~ spl0_40
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1121,f954,f402,f1102,f963]) ).

fof(f1141,plain,
    ( ~ c2_1(a363)
    | c3_1(a363)
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(resolution,[],[f411,f866]) ).

fof(f1142,plain,
    ( ~ c2_1(a380)
    | c3_1(a380)
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f411,f736]) ).

fof(f1144,plain,
    ( ~ c2_1(a397)
    | c3_1(a397)
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f411,f670]) ).

fof(f1145,plain,
    ( ~ c2_1(a372)
    | c3_1(a372)
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(resolution,[],[f411,f568]) ).

fof(f1151,plain,
    ( spl0_162
    | ~ spl0_72
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1145,f567,f410,f562,f986]) ).

fof(f1166,plain,
    ( ~ c0_1(a417)
    | c3_1(a417)
    | ~ spl0_44
    | spl0_85 ),
    inference(resolution,[],[f418,f624]) ).

fof(f1171,plain,
    ( ~ c3_1(a355)
    | c2_1(a355)
    | ~ spl0_46
    | spl0_156 ),
    inference(resolution,[],[f427,f955]) ).

fof(f1175,plain,
    ( ~ c3_1(a387)
    | c2_1(a387)
    | ~ spl0_46
    | spl0_103 ),
    inference(resolution,[],[f427,f708]) ).

fof(f1182,definition,
    ( spl0_172
  <=> c3_1(a387) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1184,plain,
    ( spl0_102
    | ~ spl0_172
    | ~ spl0_46
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1175,f707,f426,f1182,f702]) ).

fof(f1187,plain,
    ( spl0_169
    | ~ spl0_157
    | ~ spl0_46
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1171,f954,f426,f959,f1102]) ).

fof(f1193,definition,
    ( spl0_173
  <=> c0_1(a360) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1194,plain,
    ( ~ c0_1(a360)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1198,plain,
    ( ~ c3_1(a355)
    | ~ c0_1(a355)
    | ~ spl0_39
    | spl0_156 ),
    inference(resolution,[],[f399,f955]) ).

fof(f1201,plain,
    ( ~ c3_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_39
    | spl0_126 ),
    inference(resolution,[],[f399,f815]) ).

fof(f1209,plain,
    ( ~ spl0_171
    | ~ spl0_127
    | ~ spl0_39
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1201,f814,f398,f819,f1134]) ).

fof(f1210,plain,
    ( ~ spl0_158
    | ~ spl0_157
    | ~ spl0_39
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1198,f954,f398,f959,f963]) ).

fof(f1213,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f740,f385]) ).

fof(f1215,plain,
    ( spl0_108
    | spl0_163
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1213,f739,f384,f1000,f730]) ).

fof(f1219,plain,
    ( ~ c0_1(a360)
    | c2_1(a360)
    | ~ spl0_47
    | spl0_143 ),
    inference(resolution,[],[f433,f894]) ).

fof(f1256,plain,
    ( ~ c3_1(a387)
    | c2_1(a387)
    | ~ spl0_54
    | spl0_104 ),
    inference(resolution,[],[f468,f712]) ).

fof(f1257,plain,
    ( ~ c3_1(a395)
    | c2_1(a395)
    | ~ spl0_54
    | spl0_97 ),
    inference(resolution,[],[f468,f680]) ).

fof(f1264,plain,
    ( ~ c3_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_48
    | spl0_171 ),
    inference(resolution,[],[f1135,f437]) ).

fof(f1295,plain,
    ( ~ c3_1(a372)
    | ~ c0_1(a372)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f337,f568]) ).

fof(f1296,plain,
    ( ~ c3_1(a373)
    | ~ c0_1(a373)
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(resolution,[],[f337,f554]) ).

fof(f1312,plain,
    ( ~ c2_1(a397)
    | c0_1(a397)
    | ~ spl0_56
    | ~ spl0_95 ),
    inference(resolution,[],[f480,f670]) ).

fof(f1319,plain,
    ( spl0_93
    | ~ spl0_94
    | ~ spl0_56
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1312,f669,f479,f665,f660]) ).

fof(f1324,plain,
    ( ~ c0_1(a376)
    | c2_1(a376)
    | ~ spl0_47
    | spl0_115 ),
    inference(resolution,[],[f764,f433]) ).

fof(f1366,plain,
    ( c0_1(a388)
    | c2_1(a388)
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(resolution,[],[f487,f698]) ).

fof(f1367,plain,
    ( c0_1(a395)
    | c2_1(a395)
    | ~ spl0_58
    | ~ spl0_98 ),
    inference(resolution,[],[f487,f684]) ).

fof(f1373,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_58
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1367,f683,f486,f679,f674]) ).

fof(f1376,definition,
    ( spl0_177
  <=> c0_1(a388) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1377,plain,
    ( c0_1(a388)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f1385,definition,
    ( spl0_178
  <=> c2_1(a375) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1400,plain,
    ( c3_1(a360)
    | c2_1(a360)
    | ~ spl0_59
    | spl0_173 ),
    inference(resolution,[],[f494,f1194]) ).

fof(f1405,plain,
    ( c3_1(a387)
    | c2_1(a387)
    | ~ spl0_59
    | spl0_104 ),
    inference(resolution,[],[f494,f712]) ).

fof(f1406,plain,
    ( c3_1(a395)
    | c2_1(a395)
    | ~ spl0_59
    | spl0_97 ),
    inference(resolution,[],[f494,f680]) ).

fof(f1414,plain,
    ( spl0_102
    | spl0_172
    | ~ spl0_59
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1405,f711,f493,f1182,f702]) ).

fof(f1415,plain,
    ( spl0_142
    | spl0_141
    | ~ spl0_59
    | spl0_173 ),
    inference(avatar_split_clause,[],[f1400,f1193,f493,f884,f889]) ).

fof(f1417,definition,
    ( spl0_179
  <=> c2_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1428,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(resolution,[],[f499,f367]) ).

fof(f1433,plain,
    ( ~ c3_1(a375)
    | c0_1(a375)
    | ~ spl0_60
    | spl0_117 ),
    inference(resolution,[],[f499,f773]) ).

fof(f1438,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f1428]) ).

fof(f1444,plain,
    ( spl0_118
    | ~ spl0_119
    | ~ spl0_60
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1433,f772,f498,f781,f777]) ).

fof(f1447,plain,
    ( spl0_54
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1438,f498,f366,f467]) ).

fof(f1454,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_61 ),
    inference(resolution,[],[f504,f315]) ).

fof(f1455,plain,
    ( ~ c2_1(a359)
    | c0_1(a359)
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f504,f904]) ).

fof(f1457,plain,
    ( ~ c2_1(a368)
    | c0_1(a368)
    | ~ spl0_61
    | spl0_126 ),
    inference(resolution,[],[f504,f815]) ).

fof(f1458,plain,
    ( ~ c2_1(a375)
    | c0_1(a375)
    | ~ spl0_61
    | spl0_117 ),
    inference(resolution,[],[f504,f773]) ).

fof(f1460,plain,
    ( ~ c2_1(a379)
    | c0_1(a379)
    | ~ spl0_61
    | spl0_112 ),
    inference(resolution,[],[f504,f750]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f1454]) ).

fof(f1467,plain,
    ( spl0_118
    | ~ spl0_178
    | ~ spl0_61
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1458,f772,f503,f1385,f777]) ).

fof(f1488,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_56
    | ~ spl0_62 ),
    inference(resolution,[],[f511,f480]) ).

fof(f1493,plain,
    ( c3_1(a359)
    | c0_1(a359)
    | ~ spl0_62
    | spl0_145 ),
    inference(resolution,[],[f511,f904]) ).

fof(f1494,plain,
    ( c3_1(a360)
    | c0_1(a360)
    | ~ spl0_62
    | spl0_143 ),
    inference(resolution,[],[f511,f894]) ).

fof(f1500,plain,
    ( c3_1(a387)
    | c0_1(a387)
    | ~ spl0_62
    | spl0_103 ),
    inference(resolution,[],[f511,f708]) ).

fof(f1502,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_56
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f1488]) ).

fof(f1504,plain,
    ( spl0_104
    | spl0_172
    | ~ spl0_62
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1500,f707,f510,f1182,f711]) ).

fof(f1510,plain,
    ( spl0_173
    | spl0_141
    | ~ spl0_62
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1494,f893,f510,f884,f1193]) ).

fof(f1511,plain,
    ( spl0_146
    | spl0_144
    | ~ spl0_62
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1493,f903,f510,f898,f907]) ).

fof(f1512,plain,
    ( spl0_52
    | ~ spl0_56
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1502,f510,f479,f456]) ).

fof(f1513,plain,
    ( ~ c0_1(a361)
    | c2_1(a361)
    | ~ spl0_47
    | spl0_139 ),
    inference(resolution,[],[f876,f433]) ).

fof(f1519,definition,
    ( spl0_181
  <=> c0_1(a361) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(resolution,[],[f520,f367]) ).

fof(f1532,plain,
    ( c2_1(a360)
    | c0_1(a360)
    | ~ spl0_64
    | spl0_143 ),
    inference(resolution,[],[f520,f894]) ).

fof(f1533,plain,
    ( c2_1(a361)
    | c0_1(a361)
    | ~ spl0_64
    | spl0_139 ),
    inference(resolution,[],[f520,f876]) ).

fof(f1536,plain,
    ( c2_1(a375)
    | c0_1(a375)
    | ~ spl0_64
    | spl0_117 ),
    inference(resolution,[],[f520,f773]) ).

fof(f1539,plain,
    ( c2_1(a387)
    | c0_1(a387)
    | ~ spl0_64
    | spl0_103 ),
    inference(resolution,[],[f520,f708]) ).

fof(f1540,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f1529]) ).

fof(f1543,plain,
    ( spl0_104
    | spl0_102
    | ~ spl0_64
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1539,f707,f519,f702,f711]) ).

fof(f1545,plain,
    ( spl0_118
    | spl0_178
    | ~ spl0_64
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1536,f772,f519,f1385,f777]) ).

fof(f1548,plain,
    ( spl0_181
    | spl0_138
    | ~ spl0_64
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1533,f875,f519,f870,f1519]) ).

fof(f1551,plain,
    ( spl0_54
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1540,f519,f366,f467]) ).

fof(f1554,plain,
    ( spl0_100
    | spl0_177
    | ~ spl0_58
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1366,f697,f486,f1376,f693]) ).

fof(f1556,plain,
    ( spl0_48
    | ~ spl0_17
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1462,f503,f314,f436]) ).

fof(f1565,plain,
    ( ~ spl0_128
    | ~ spl0_127
    | ~ spl0_48
    | spl0_171 ),
    inference(avatar_split_clause,[],[f1264,f1134,f436,f819,f823]) ).

fof(f1569,plain,
    ( ~ c3_1(a357)
    | c0_1(a357)
    | ~ spl0_50
    | ~ spl0_152 ),
    inference(resolution,[],[f936,f447]) ).

fof(f1573,definition,
    ( spl0_182
  <=> c2_1(a357) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1594,plain,
    ( ~ c3_1(a353)
    | c2_1(a353)
    | ~ spl0_31
    | ~ spl0_160 ),
    inference(resolution,[],[f974,f367]) ).

fof(f1598,definition,
    ( spl0_183
  <=> c3_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1600,plain,
    ( spl0_159
    | ~ spl0_183
    | ~ spl0_31
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1594,f973,f366,f1598,f968]) ).

fof(f1604,plain,
    ( c2_1(a353)
    | c3_1(a353)
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(resolution,[],[f978,f385]) ).

fof(f1607,plain,
    ( spl0_183
    | spl0_159
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1604,f977,f384,f968,f1598]) ).

fof(f1616,plain,
    ( ~ c0_1(a379)
    | c3_1(a379)
    | ~ spl0_44
    | spl0_112 ),
    inference(resolution,[],[f418,f750]) ).

fof(f1618,plain,
    ( spl0_111
    | ~ spl0_170
    | ~ spl0_44
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1616,f749,f417,f1129,f744]) ).

fof(f1626,plain,
    ( ~ c3_1(a361)
    | c2_1(a361)
    | ~ spl0_46
    | spl0_139 ),
    inference(resolution,[],[f427,f876]) ).

fof(f1633,plain,
    ( spl0_138
    | ~ spl0_140
    | ~ spl0_46
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1626,f875,f426,f879,f870]) ).

fof(f1638,plain,
    ( ~ c3_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_48
    | spl0_150 ),
    inference(resolution,[],[f437,f927]) ).

fof(f1649,plain,
    ( ~ c3_1(a397)
    | ~ c2_1(a397)
    | ~ spl0_48
    | spl0_93 ),
    inference(resolution,[],[f437,f661]) ).

fof(f1654,plain,
    ( c2_1(a388)
    | c3_1(a388)
    | ~ spl0_36
    | ~ spl0_177 ),
    inference(resolution,[],[f1377,f385]) ).

fof(f1657,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_36
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1654,f1376,f384,f693,f688]) ).

fof(f1665,plain,
    ( ~ c2_1(a358)
    | c3_1(a358)
    | ~ spl0_52
    | spl0_148 ),
    inference(resolution,[],[f457,f918]) ).

fof(f1687,plain,
    ( spl0_147
    | ~ spl0_149
    | ~ spl0_52
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1665,f917,f456,f921,f912]) ).

fof(f1690,plain,
    ( spl0_96
    | spl0_165
    | ~ spl0_59
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1406,f679,f493,f1018,f674]) ).

fof(f1695,plain,
    ( spl0_96
    | ~ spl0_165
    | ~ spl0_54
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1257,f679,f467,f1018,f674]) ).

fof(f1697,plain,
    ( ~ c3_1(a373)
    | c2_1(a373)
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(resolution,[],[f554,f367]) ).

fof(f1698,plain,
    ( spl0_168
    | ~ spl0_69
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1697,f553,f366,f548,f1078]) ).

fof(f1719,plain,
    ( ~ c2_1(a370)
    | c3_1(a370)
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(resolution,[],[f348,f796]) ).

fof(f1720,plain,
    ( ~ c2_1(a380)
    | c3_1(a380)
    | ~ spl0_26
    | ~ spl0_110 ),
    inference(resolution,[],[f348,f740]) ).

fof(f1727,plain,
    ( spl0_108
    | ~ spl0_163
    | ~ spl0_26
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1720,f739,f347,f1000,f730]) ).

fof(f1730,plain,
    ( spl0_120
    | ~ spl0_121
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1719,f795,f347,f791,f786]) ).

fof(f1741,plain,
    ( ~ c2_1(a379)
    | c3_1(a379)
    | ~ spl0_41
    | spl0_112 ),
    inference(resolution,[],[f407,f750]) ).

fof(f1742,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_41
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1741,f749,f406,f753,f744]) ).

fof(f1746,plain,
    ( spl0_170
    | ~ spl0_113
    | ~ spl0_61
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1460,f749,f503,f753,f1129]) ).

fof(f1774,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(resolution,[],[f462,f407]) ).

fof(f1777,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_64 ),
    inference(resolution,[],[f462,f520]) ).

fof(f1783,plain,
    ( c0_1(a399)
    | c3_1(a399)
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(resolution,[],[f462,f642]) ).

fof(f1787,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f1777]) ).

fof(f1789,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1774]) ).

fof(f1792,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1783,f641,f461,f637,f632]) ).

fof(f1796,plain,
    ( spl0_59
    | ~ spl0_53
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1787,f519,f461,f493]) ).

fof(f1797,plain,
    ( spl0_52
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1789,f461,f406,f456]) ).

fof(f1800,plain,
    ( ~ c3_1(a357)
    | c2_1(a357)
    | ~ spl0_54
    | spl0_150 ),
    inference(resolution,[],[f468,f927]) ).

fof(f1806,plain,
    ( ~ c3_1(a375)
    | c2_1(a375)
    | ~ spl0_54
    | spl0_118 ),
    inference(resolution,[],[f468,f778]) ).

fof(f1808,plain,
    ( ~ c3_1(a382)
    | c2_1(a382)
    | ~ spl0_54
    | spl0_106 ),
    inference(resolution,[],[f468,f722]) ).

fof(f1814,plain,
    ( spl0_105
    | ~ spl0_107
    | ~ spl0_54
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1808,f721,f467,f725,f716]) ).

fof(f1824,plain,
    ( ~ spl0_74
    | ~ spl0_162
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1295,f567,f336,f986,f571]) ).

fof(f1825,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1296,f553,f336,f548,f557]) ).

fof(f1827,plain,
    ( spl0_135
    | ~ spl0_136
    | ~ spl0_42
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1141,f865,f410,f861,f856]) ).

fof(f1828,plain,
    ( spl0_108
    | ~ spl0_163
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1142,f735,f410,f1000,f730]) ).

fof(f1829,plain,
    ( spl0_164
    | ~ spl0_94
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1144,f669,f410,f665,f1009]) ).

fof(f1832,plain,
    ( spl0_173
    | spl0_142
    | ~ spl0_64
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1532,f893,f519,f889,f1193]) ).

fof(f1834,plain,
    ( ~ spl0_72
    | ~ spl0_162
    | ~ spl0_17
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f981,f567,f314,f986,f562]) ).

fof(f1839,plain,
    ( ~ spl0_74
    | ~ spl0_72
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f995,f567,f343,f562,f571]) ).

fof(f1840,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | ~ spl0_25
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f997,f735,f343,f1000,f739]) ).

fof(f1848,plain,
    ( ~ spl0_182
    | ~ spl0_151
    | ~ spl0_48
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1638,f926,f436,f931,f1573]) ).

fof(f1850,plain,
    ( ~ spl0_94
    | ~ spl0_164
    | ~ spl0_48
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1649,f660,f436,f1009,f665]) ).

fof(f1861,plain,
    ( ~ c3_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_17
    | ~ spl0_152 ),
    inference(resolution,[],[f315,f936]) ).

fof(f1864,plain,
    ( ~ c3_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_17
    | ~ spl0_77 ),
    inference(resolution,[],[f315,f586]) ).

fof(f1865,plain,
    ( ~ spl0_76
    | ~ spl0_75
    | ~ spl0_17
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1864,f585,f314,f576,f581]) ).

fof(f1866,plain,
    ( ~ spl0_182
    | ~ spl0_151
    | ~ spl0_17
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1861,f935,f314,f931,f1573]) ).

fof(f1867,plain,
    ( ~ c3_1(a353)
    | ~ c0_1(a353)
    | ~ spl0_23
    | ~ spl0_160 ),
    inference(resolution,[],[f337,f974]) ).

fof(f1877,plain,
    ( ~ spl0_161
    | ~ spl0_183
    | ~ spl0_23
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1867,f973,f336,f1598,f977]) ).

fof(f1886,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_33
    | ~ spl0_109 ),
    inference(resolution,[],[f374,f736]) ).

fof(f1888,plain,
    ( spl0_108
    | spl0_163
    | ~ spl0_33
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1886,f735,f373,f1000,f730]) ).

fof(f1890,plain,
    ( spl0_102
    | ~ spl0_172
    | ~ spl0_54
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1256,f711,f467,f1182,f702]) ).

fof(f1891,plain,
    ( spl0_182
    | ~ spl0_151
    | ~ spl0_54
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1800,f926,f467,f931,f1573]) ).

fof(f1892,plain,
    ( spl0_178
    | ~ spl0_119
    | ~ spl0_54
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1806,f777,f467,f781,f1385]) ).

fof(f1897,plain,
    ( spl0_84
    | ~ spl0_86
    | ~ spl0_44
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1166,f623,f417,f627,f618]) ).

fof(f1911,plain,
    ( spl0_142
    | ~ spl0_173
    | ~ spl0_47
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1219,f893,f432,f1193,f889]) ).

fof(f1912,plain,
    ( spl0_138
    | ~ spl0_181
    | ~ spl0_47
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1513,f875,f432,f1519,f870]) ).

fof(f1913,plain,
    ( spl0_114
    | ~ spl0_116
    | ~ spl0_47
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1324,f763,f432,f767,f758]) ).

fof(f1914,plain,
    ( spl0_150
    | ~ spl0_151
    | ~ spl0_50
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1569,f935,f446,f931,f926]) ).

fof(f1921,plain,
    ( spl0_171
    | ~ spl0_128
    | ~ spl0_61
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1457,f814,f503,f823,f1134]) ).

fof(f1925,plain,
    ( spl0_146
    | ~ spl0_179
    | ~ spl0_61
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1455,f903,f503,f1417,f907]) ).

fof(f1942,plain,
    ( ~ c3_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(resolution,[],[f326,f543]) ).

fof(f1943,plain,
    ( ~ spl0_67
    | ~ spl0_66
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1942,f542,f325,f533,f538]) ).

fof(f1949,plain,
    ( c2_1(a353)
    | ~ c0_1(a353)
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(resolution,[],[f378,f974]) ).

fof(f1952,plain,
    ( ~ spl0_161
    | spl0_159
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1949,f973,f377,f968,f977]) ).

fof(f1970,plain,
    ( ~ c0_1(a360)
    | c3_1(a360)
    | ~ spl0_44
    | spl0_143 ),
    inference(resolution,[],[f418,f894]) ).

fof(f1981,plain,
    ( spl0_141
    | ~ spl0_173
    | ~ spl0_44
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1970,f893,f417,f1193,f884]) ).

fof(f2014,plain,
    ( ~ c3_1(a375)
    | ~ c2_1(a375)
    | ~ spl0_48
    | spl0_118 ),
    inference(resolution,[],[f437,f778]) ).

fof(f2026,plain,
    ( ~ spl0_178
    | ~ spl0_119
    | ~ spl0_48
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2014,f777,f436,f781,f1385]) ).

fof(f2035,plain,
    ( c3_1(a359)
    | c2_1(a359)
    | ~ spl0_51
    | spl0_145 ),
    inference(resolution,[],[f453,f904]) ).

fof(f2036,plain,
    ( c3_1(a360)
    | c2_1(a360)
    | ~ spl0_51
    | spl0_143 ),
    inference(resolution,[],[f453,f894]) ).

fof(f2041,plain,
    ( c3_1(a387)
    | c2_1(a387)
    | ~ spl0_51
    | spl0_103 ),
    inference(resolution,[],[f453,f708]) ).

fof(f2046,plain,
    ( spl0_102
    | spl0_172
    | ~ spl0_51
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2041,f707,f452,f1182,f702]) ).

fof(f2049,plain,
    ( spl0_142
    | spl0_141
    | ~ spl0_51
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2036,f893,f452,f884,f889]) ).

fof(f2050,plain,
    ( spl0_179
    | spl0_144
    | ~ spl0_51
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2035,f903,f452,f898,f1417]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s9,plain,
    ( spl0_3
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s14,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_17
    | spl0_26 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s16,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_20
    | spl0_26 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s20,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s21,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s25,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_29
    | spl0_37 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s26,plain,
    ( ~ spl0_16
    | spl0_22
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s27,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_36
    | spl0_39 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s29,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_23
    | spl0_41 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s30,plain,
    ( ~ spl0_16
    | spl0_37
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s31,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s32,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_16
    | spl0_44 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s33,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_42
    | spl0_44 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s35,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_16
    | spl0_46 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s36,plain,
    ( ~ spl0_16
    | spl0_38
    | spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s37,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_21
    | spl0_47 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s39,plain,
    ( ~ spl0_16
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s40,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_17
    | spl0_48 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s43,plain,
    ( spl0_14
    | ~ spl0_16
    | spl0_17
    | spl0_50 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s46,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_32
    | spl0_52 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s48,plain,
    ( ~ spl0_16
    | spl0_32
    | spl0_40
    | spl0_53 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s50,plain,
    ( spl0_3
    | ~ spl0_16
    | spl0_47
    | spl0_53 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s52,plain,
    ( spl0_14
    | ~ spl0_16
    | spl0_54 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s53,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_17
    | spl0_54 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s55,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_25
    | spl0_54 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s56,plain,
    ( ~ spl0_16
    | spl0_42
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s57,plain,
    ( spl0_10
    | ~ spl0_16
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s58,plain,
    ( spl0_13
    | ~ spl0_16
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s62,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_17
    | spl0_59 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s64,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_16
    | spl0_60 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s68,plain,
    ( spl0_7
    | ~ spl0_16
    | spl0_31
    | spl0_61 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s69,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_48
    | spl0_61 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s70,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_47
    | spl0_62 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s71,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_51
    | spl0_62 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s72,plain,
    ( ~ spl0_16
    | spl0_54
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s73,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_55
    | spl0_64 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s76,plain,
    ( spl0_13
    | ~ spl0_16
    | spl0_36
    | spl0_64 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s77,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_56
    | spl0_64 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s79,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_60
    | spl0_64 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s80,plain,
    ( ~ spl0_16
    | spl0_61
    | spl0_62
    | spl0_64 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s81,plain,
    ( ~ spl0_19
    | spl0_66 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s82,plain,
    ( ~ spl0_19
    | spl0_67 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s83,plain,
    ( ~ spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s85,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s86,plain,
    ( ~ spl0_22
    | spl0_70 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s87,plain,
    ( ~ spl0_22
    | spl0_71 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s89,plain,
    ( ~ spl0_15
    | spl0_72 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s90,plain,
    ( ~ spl0_15
    | spl0_73 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s91,plain,
    ( ~ spl0_15
    | spl0_74 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s93,plain,
    ( ~ spl0_32
    | spl0_75 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s94,plain,
    ( ~ spl0_32
    | spl0_76 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s95,plain,
    ( ~ spl0_32
    | spl0_77 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s105,plain,
    ( ~ spl0_8
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s106,plain,
    ( ~ spl0_8
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s107,plain,
    ( ~ spl0_8
    | spl0_86 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s109,plain,
    ( ~ spl0_4
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s110,plain,
    ( ~ spl0_4
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s111,plain,
    ( ~ spl0_4
    | spl0_89 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s113,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s114,plain,
    ( ~ spl0_38
    | spl0_91 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s115,plain,
    ( ~ spl0_38
    | spl0_92 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s117,plain,
    ( ~ spl0_21
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s118,plain,
    ( ~ spl0_21
    | spl0_94 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s119,plain,
    ( ~ spl0_21
    | spl0_95 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s121,plain,
    ( ~ spl0_6
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s122,plain,
    ( ~ spl0_6
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s123,plain,
    ( ~ spl0_6
    | spl0_98 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s125,plain,
    ( ~ spl0_24
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s126,plain,
    ( ~ spl0_24
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s127,plain,
    ( ~ spl0_24
    | spl0_101 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s129,plain,
    ( ~ spl0_29
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s130,plain,
    ( ~ spl0_29
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s131,plain,
    ( ~ spl0_29
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s133,plain,
    ( ~ spl0_5
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s134,plain,
    ( ~ spl0_5
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s135,plain,
    ( ~ spl0_5
    | spl0_107 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s137,plain,
    ( ~ spl0_14
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s138,plain,
    ( ~ spl0_14
    | spl0_109 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s139,plain,
    ( ~ spl0_14
    | spl0_110 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s141,plain,
    ( ~ spl0_9
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s142,plain,
    ( ~ spl0_9
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s143,plain,
    ( ~ spl0_9
    | spl0_113 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s145,plain,
    ( ~ spl0_10
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s146,plain,
    ( ~ spl0_10
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s147,plain,
    ( ~ spl0_10
    | spl0_116 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s149,plain,
    ( ~ spl0_57
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s150,plain,
    ( ~ spl0_57
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s151,plain,
    ( ~ spl0_57
    | spl0_119 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s153,plain,
    ( ~ spl0_12
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s154,plain,
    ( ~ spl0_12
    | spl0_121 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s155,plain,
    ( ~ spl0_12
    | spl0_122 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s161,plain,
    ( ~ spl0_3
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s162,plain,
    ( ~ spl0_3
    | spl0_127 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s163,plain,
    ( ~ spl0_3
    | spl0_128 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s173,plain,
    ( ~ spl0_7
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s174,plain,
    ( ~ spl0_7
    | spl0_136 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s175,plain,
    ( ~ spl0_7
    | spl0_137 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s177,plain,
    ( ~ spl0_63
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s178,plain,
    ( ~ spl0_63
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s179,plain,
    ( ~ spl0_63
    | spl0_140 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s181,plain,
    ( ~ spl0_1
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s182,plain,
    ( ~ spl0_1
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s183,plain,
    ( ~ spl0_1
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s184,plain,
    ( ~ spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s185,plain,
    ( ~ spl0_55
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s186,plain,
    ( ~ spl0_55
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s187,plain,
    ( ~ spl0_55
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s189,plain,
    ( ~ spl0_2
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s190,plain,
    ( ~ spl0_2
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s191,plain,
    ( ~ spl0_2
    | spl0_149 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s192,plain,
    ( ~ spl0_2
    | spl0_16 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s193,plain,
    ( ~ spl0_43
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s194,plain,
    ( ~ spl0_43
    | spl0_151 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s195,plain,
    ( ~ spl0_43
    | spl0_152 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s201,plain,
    ( ~ spl0_13
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s202,plain,
    ( ~ spl0_13
    | spl0_157 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s203,plain,
    ( ~ spl0_13
    | spl0_158 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s205,plain,
    ( ~ spl0_49
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s206,plain,
    ( ~ spl0_49
    | spl0_160 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s207,plain,
    ( ~ spl0_49
    | spl0_161 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s213,plain,
    ( ~ spl0_31
    | spl0_96
    | ~ spl0_98
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s225,plain,
    ( ~ spl0_17
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s228,plain,
    ( ~ spl0_20
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s230,plain,
    ( ~ spl0_31
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s233,plain,
    ( ~ spl0_20
    | ~ spl0_157
    | ~ spl0_158
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s235,plain,
    ( ~ spl0_37
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s236,plain,
    ( ~ spl0_37
    | spl0_156
    | ~ spl0_157
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s237,plain,
    ( ~ spl0_40
    | spl0_112
    | ~ spl0_113
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s238,plain,
    ( ~ spl0_40
    | spl0_126
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s239,plain,
    ( ~ spl0_40
    | spl0_156
    | ~ spl0_158
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s241,plain,
    ( ~ spl0_42
    | ~ spl0_72
    | ~ spl0_73
    | spl0_162 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s248,plain,
    ( ~ spl0_46
    | spl0_102
    | spl0_103
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s250,plain,
    ( ~ spl0_46
    | spl0_156
    | ~ spl0_157
    | spl0_169 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s253,plain,
    ( ~ spl0_39
    | spl0_126
    | ~ spl0_127
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s254,plain,
    ( ~ spl0_39
    | spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s257,plain,
    ( ~ spl0_36
    | spl0_108
    | ~ spl0_110
    | spl0_163 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s271,plain,
    ( ~ spl0_56
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s281,plain,
    ( ~ spl0_58
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1373]) ).

cnf(s291,plain,
    ( ~ spl0_59
    | spl0_102
    | spl0_104
    | spl0_172 ),
    inference(sat_conversion,[],[f1414]) ).

cnf(s292,plain,
    ( ~ spl0_59
    | spl0_141
    | spl0_142
    | spl0_173 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s295,plain,
    ( ~ spl0_60
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s297,plain,
    ( ~ spl0_31
    | spl0_54
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f1447]) ).

cnf(s299,plain,
    ( ~ spl0_61
    | spl0_117
    | spl0_118
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1467]) ).

cnf(s307,plain,
    ( ~ spl0_62
    | spl0_103
    | spl0_104
    | spl0_172 ),
    inference(sat_conversion,[],[f1504]) ).

cnf(s311,plain,
    ( ~ spl0_62
    | spl0_141
    | spl0_143
    | spl0_173 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s312,plain,
    ( ~ spl0_62
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1511]) ).

cnf(s313,plain,
    ( spl0_52
    | ~ spl0_56
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s317,plain,
    ( ~ spl0_64
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1543]) ).

cnf(s319,plain,
    ( ~ spl0_64
    | spl0_117
    | spl0_118
    | spl0_178 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s321,plain,
    ( ~ spl0_64
    | spl0_138
    | spl0_139
    | spl0_181 ),
    inference(sat_conversion,[],[f1548]) ).

cnf(s324,plain,
    ( ~ spl0_31
    | spl0_54
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1551]) ).

cnf(s327,plain,
    ( ~ spl0_58
    | spl0_100
    | ~ spl0_101
    | spl0_177 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s329,plain,
    ( ~ spl0_17
    | spl0_48
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1556]) ).

cnf(s339,plain,
    ( ~ spl0_48
    | ~ spl0_127
    | ~ spl0_128
    | spl0_171 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s354,plain,
    ( ~ spl0_31
    | spl0_159
    | ~ spl0_160
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s357,plain,
    ( ~ spl0_36
    | spl0_159
    | ~ spl0_161
    | spl0_183 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s358,plain,
    ( ~ spl0_44
    | spl0_111
    | spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s360,plain,
    ( ~ spl0_46
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s365,plain,
    ( ~ spl0_36
    | spl0_99
    | spl0_100
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1657]) ).

cnf(s372,plain,
    ( ~ spl0_52
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s375,plain,
    ( ~ spl0_59
    | spl0_96
    | spl0_97
    | spl0_165 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s380,plain,
    ( ~ spl0_54
    | spl0_96
    | spl0_97
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s381,plain,
    ( ~ spl0_31
    | ~ spl0_69
    | ~ spl0_70
    | spl0_168 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s385,plain,
    ( ~ spl0_26
    | spl0_108
    | ~ spl0_110
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s386,plain,
    ( ~ spl0_26
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1730]) ).

cnf(s391,plain,
    ( ~ spl0_41
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s395,plain,
    ( ~ spl0_61
    | spl0_112
    | ~ spl0_113
    | spl0_170 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s405,plain,
    ( ~ spl0_53
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s409,plain,
    ( ~ spl0_53
    | spl0_59
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s410,plain,
    ( ~ spl0_41
    | spl0_52
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s411,plain,
    ( ~ spl0_54
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s421,plain,
    ( ~ spl0_23
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s422,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s424,plain,
    ( ~ spl0_42
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s425,plain,
    ( ~ spl0_42
    | spl0_108
    | ~ spl0_109
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s426,plain,
    ( ~ spl0_42
    | ~ spl0_94
    | ~ spl0_95
    | spl0_164 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s429,plain,
    ( ~ spl0_64
    | spl0_142
    | spl0_143
    | spl0_173 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s431,plain,
    ( ~ spl0_17
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s437,plain,
    ( ~ spl0_25
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1839]) ).

cnf(s438,plain,
    ( ~ spl0_25
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s446,plain,
    ( ~ spl0_48
    | spl0_150
    | ~ spl0_151
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s448,plain,
    ( ~ spl0_48
    | spl0_93
    | ~ spl0_94
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s455,plain,
    ( ~ spl0_17
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s456,plain,
    ( ~ spl0_17
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f1866]) ).

cnf(s459,plain,
    ( ~ spl0_23
    | ~ spl0_160
    | ~ spl0_161
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s461,plain,
    ( ~ spl0_33
    | spl0_108
    | ~ spl0_109
    | spl0_163 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s463,plain,
    ( ~ spl0_54
    | spl0_102
    | spl0_104
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s464,plain,
    ( ~ spl0_54
    | spl0_150
    | ~ spl0_151
    | spl0_182 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s465,plain,
    ( ~ spl0_54
    | spl0_118
    | ~ spl0_119
    | spl0_178 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s470,plain,
    ( ~ spl0_44
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s484,plain,
    ( ~ spl0_47
    | spl0_142
    | spl0_143
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s486,plain,
    ( ~ spl0_47
    | spl0_138
    | spl0_139
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s487,plain,
    ( ~ spl0_47
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s488,plain,
    ( ~ spl0_50
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s496,plain,
    ( ~ spl0_61
    | spl0_126
    | ~ spl0_128
    | spl0_171 ),
    inference(sat_conversion,[],[f1921]) ).

cnf(s500,plain,
    ( ~ spl0_61
    | spl0_145
    | spl0_146
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s512,plain,
    ( ~ spl0_20
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1943]) ).

cnf(s517,plain,
    ( ~ spl0_34
    | spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s520,plain,
    ( ~ spl0_44
    | spl0_141
    | spl0_143
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s539,plain,
    ( ~ spl0_48
    | spl0_118
    | ~ spl0_119
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s540,plain,
    ( ~ spl0_51
    | spl0_102
    | spl0_103
    | spl0_172 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s543,plain,
    ( ~ spl0_51
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s544,plain,
    ( ~ spl0_51
    | spl0_144
    | spl0_145
    | spl0_179 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s545,plain,
    ( ~ spl0_57
    | ~ spl0_60 ),
    inference(rat,[],[s295,s149,s150,s151]) ).

cnf(s546,plain,
    ( spl0_7
    | spl0_58
    | ~ spl0_46
    | spl0_3
    | ~ spl0_16 ),
    inference(rat,[],[s236,s250,s201,s202,s58,s545,s30,s391,s141,s142,s143,s33,s241,s431,s89,s90,s32,s470,s105,s106,s107,s4,s64,s9]) ).

cnf(s547,plain,
    ( spl0_178
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110
    | spl0_60
    | spl0_117
    | spl0_118
    | ~ spl0_119
    | spl0_13
    | ~ spl0_16 ),
    inference(rat,[],[s459,s55,s357,s438,s205,s206,s207,s257,s79,s76,s319,s465]) ).

cnf(s548,plain,
    ( spl0_13
    | spl0_58
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s69,s299,s539,s547,s137,s138,s139,s545,s149,s150,s151,s7,s58,s192,s1]) ).

cnf(s549,plain,
    ( ~ spl0_32
    | ~ spl0_17 ),
    inference(rat,[],[s455,s93,s94,s95]) ).

cnf(s550,plain,
    ( ~ spl0_57
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110
    | spl0_13
    | ~ spl0_48
    | ~ spl0_16 ),
    inference(rat,[],[s547,s539,s545,s149,s150,s151]) ).

cnf(s551,plain,
    ( ~ spl0_49
    | ~ spl0_36
    | ~ spl0_31 ),
    inference(rat,[],[s354,s357,s205,s206,s207]) ).

cnf(s552,plain,
    ( ~ spl0_5
    | ~ spl0_54 ),
    inference(rat,[],[s411,s133,s134,s135]) ).

cnf(s553,plain,
    ( spl0_13
    | ~ spl0_31
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s121,s281,s122,s123,s3,s552,s297,s79,s551,s76,s548,s317,s129,s130,s131,s46,s549,s9,s192,s372,s189,s190,s191,s1]) ).

cnf(s554,plain,
    ( ~ spl0_7
    | ~ spl0_42 ),
    inference(rat,[],[s424,s173,s174,s175]) ).

cnf(s555,plain,
    ( ~ spl0_46
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s281,s121,s122,s123,s3,s552,s297,s546,s64,s554,s30,s410,s48,s236,s239,s250,s201,s202,s203,s553,s71,s540,s307,s248,s131,s130,s129,s46,s549,s9,s192,s372,s189,s190,s191,s1]) ).

cnf(s556,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s230,s113,s114,s115,s36,s254,s201,s202,s203,s553,s71,s544,s500,s80,s312,s555,s185,s186,s187,s73,s317,s129,s130,s131,s46,s549,s9,s192,s372,s189,s190,s191,s1]) ).

cnf(s557,plain,
    ( spl0_62
    | spl0_54
    | spl0_40
    | spl0_13
    | spl0_1 ),
    inference(rat,[],[s321,s486,s76,s70,s257,s461,s385,s15,s549,s48,s405,s109,s110,s111,s35,s360,s177,s178,s179,s72,s139,s138,s137,s52,s192,s1]) ).

cnf(s558,plain,
    ( ~ spl0_55
    | ~ spl0_62 ),
    inference(rat,[],[s312,s185,s186,s187]) ).

cnf(s561,plain,
    ( ~ spl0_54
    | spl0_13
    | spl0_1 ),
    inference(rat,[],[s69,s299,s539,s465,s149,s150,s151,s58,s281,s121,s122,s123,s3,s552,s192,s1]) ).

cnf(s562,plain,
    ( spl0_171
    | spl0_1 ),
    inference(rat,[],[s69,s496,s339,s192,s1,s163,s162,s161,s556]) ).

cnf(s563,plain,
    ( spl0_13
    | spl0_1 ),
    inference(rat,[],[s517,s205,s206,s207,s39,s448,s426,s117,s118,s119,s37,s549,s20,s512,s81,s82,s83,s27,s21,s257,s461,s487,s425,s324,s145,s146,s147,s56,s73,s57,s558,s313,s557,s137,s138,s139,s52,s561,s192,s372,s189,s190,s191,s1,s253,s162,s238,s562,s163,s161,s556]) ).

cnf(s564,plain,
    ( ~ spl0_4
    | ~ spl0_53 ),
    inference(rat,[],[s405,s109,s110,s111]) ).

cnf(s565,plain,
    ( ~ spl0_109
    | spl0_108
    | ~ spl0_33
    | ~ spl0_42 ),
    inference(rat,[],[s461,s425]) ).

cnf(s567,plain,
    ( ~ spl0_10
    | ~ spl0_47 ),
    inference(rat,[],[s487,s145,s146,s147]) ).

cnf(s570,plain,
    ( ~ spl0_63
    | ~ spl0_46 ),
    inference(rat,[],[s360,s177,s178,s179]) ).

cnf(s571,plain,
    ( ~ spl0_38
    | ~ spl0_31 ),
    inference(rat,[],[s230,s113,s114,s115]) ).

cnf(s572,plain,
    ( spl0_17
    | spl0_59
    | spl0_1 ),
    inference(rat,[],[s386,s153,s154,s155,s62,s15,s192,s1]) ).

cnf(s573,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(rat,[],[s422,s85,s86,s87]) ).

cnf(s574,plain,
    ( spl0_59
    | spl0_1 ),
    inference(rat,[],[s71,s540,s558,s571,s26,s248,s573,s29,s233,s250,s35,s73,s564,s410,s409,s129,s130,s48,s46,s549,s572,s192,s372,s189,s190,s191,s1,s235,s162,s238,s562,s163,s161,s556,s203,s202,s201,s563]) ).

cnf(s575,plain,
    ( spl0_32
    | spl0_1 ),
    inference(rat,[],[s248,s35,s291,s564,s129,s130,s131,s48,s46,s192,s372,s189,s190,s191,s1,s238,s562,s163,s161,s556,s574]) ).

cnf(s577,plain,
    ( ~ spl0_6
    | ~ spl0_31
    | ~ spl0_59 ),
    inference(rat,[],[s375,s213,s121,s122,s123]) ).

cnf(s578,plain,
    ( ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s73,s558,s324,s72,s552,s3,s577,s570,s36,s571,s192,s1,s253,s562,s162,s161,s556,s574]) ).

cnf(s579,plain,
    ( ~ spl0_54
    | spl0_1 ),
    inference(rat,[],[s375,s380,s121,s122,s3,s552,s574]) ).

cnf(s580,plain,
    spl0_1,
    inference(rat,[],[s241,s421,s89,s90,s91,s32,s358,s29,s395,s512,s68,s81,s82,s83,s554,s27,s30,s257,s391,s385,s141,s142,s143,s137,s139,s53,s52,s579,s578,s15,s549,s575,s253,s562,s235,s161,s162,s163,s556,s192,s1]) ).

cnf(s581,plain,
    spl0_16,
    inference(rat,[],[s184,s580]) ).

cnf(s582,plain,
    ~ spl0_143,
    inference(rat,[],[s183,s580]) ).

cnf(s583,plain,
    ~ spl0_142,
    inference(rat,[],[s182,s580]) ).

cnf(s584,plain,
    ~ spl0_141,
    inference(rat,[],[s181,s580]) ).

cnf(s585,plain,
    ~ spl0_51,
    inference(rat,[],[s543,s582,s583,s584]) ).

cnf(s586,plain,
    ( ~ spl0_22
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(rat,[],[s225,s381,s85,s86]) ).

cnf(s587,plain,
    ( ~ spl0_13
    | ~ spl0_46
    | ~ spl0_37 ),
    inference(rat,[],[s236,s250,s201,s202]) ).

cnf(s588,plain,
    ( ~ spl0_24
    | ~ spl0_58
    | ~ spl0_36 ),
    inference(rat,[],[s365,s327,s125,s126,s127]) ).

cnf(s589,plain,
    ( ~ spl0_21
    | ~ spl0_56 ),
    inference(rat,[],[s271,s117,s118,s119]) ).

cnf(s590,plain,
    ( ~ spl0_3
    | ~ spl0_37 ),
    inference(rat,[],[s235,s161,s162,s163]) ).

cnf(s591,plain,
    ( spl0_13
    | ~ spl0_48
    | spl0_64
    | spl0_3
    | ~ spl0_31 ),
    inference(rat,[],[s588,s14,s58,s438,s589,s550,s257,s77,s137,s138,s139,s551,s7,s76,s581]) ).

cnf(s592,plain,
    ( ~ spl0_13
    | ~ spl0_37
    | spl0_38 ),
    inference(rat,[],[s36,s254,s587,s201,s202,s203,s581]) ).

cnf(s593,plain,
    ( ~ spl0_17
    | spl0_4
    | ~ spl0_31
    | ~ spl0_54 ),
    inference(rat,[],[s329,s80,s591,s307,s592,s463,s317,s129,s130,s131,s46,s372,s189,s190,s191,s2,s590,s26,s586,s549,s571,s581]) ).

cnf(s594,plain,
    ( spl0_4
    | ~ spl0_31
    | ~ spl0_54 ),
    inference(rat,[],[s391,s141,s142,s143,s16,s386,s153,s154,s155,s62,s291,s29,s463,s228,s381,s129,s131,s573,s85,s86,s87,s25,s26,s590,s9,s593,s571,s581]) ).

cnf(s595,plain,
    ( ~ spl0_17
    | spl0_53
    | ~ spl0_31 ),
    inference(rat,[],[s395,s237,s80,s142,s143,s311,s429,s5,s484,s567,s50,s590,s26,s48,s586,s549,s571,s581,s582,s584,s583]) ).

cnf(s596,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(rat,[],[s391,s141,s142,s143]) ).

cnf(s597,plain,
    ( ~ spl0_12
    | ~ spl0_26 ),
    inference(rat,[],[s386,s153,s154,s155]) ).

cnf(s598,plain,
    ( ~ spl0_31
    | ~ spl0_54 ),
    inference(rat,[],[s448,s426,s117,s118,s119,s33,s37,s520,s484,s292,s62,s597,s16,s40,s596,s29,s228,s381,s573,s85,s86,s87,s26,s590,s9,s595,s564,s594,s571,s581,s582,s584,s583]) ).

cnf(s599,plain,
    ( ~ spl0_29
    | ~ spl0_54 ),
    inference(rat,[],[s307,s463,s129,s130,s131,s71,s598,s585,s581]) ).

cnf(s600,plain,
    ~ spl0_54,
    inference(rat,[],[s565,s21,s30,s517,s590,s596,s205,s206,s207,s137,s138,s9,s40,s39,s43,s456,s446,s488,s464,s193,s194,s195,s31,s599,s520,s311,s71,s598,s581,s582,s584,s585]) ).

cnf(s606,plain,
    ~ spl0_31,
    inference(rat,[],[s596,s29,s53,s228,s381,s586,s573,s85,s86,s87,s26,s592,s76,s551,s79,s324,s297,s571,s581,s600]) ).

cnf(s607,plain,
    spl0_62,
    inference(rat,[],[s71,s585,s581,s606]) ).

cnf(s608,plain,
    ~ spl0_55,
    inference(rat,[],[s558,s607]) ).

cnf(s609,plain,
    spl0_173,
    inference(rat,[],[s311,s584,s582,s607]) ).

cnf(s610,plain,
    spl0_42,
    inference(rat,[],[s56,s600,s581,s608]) ).

cnf(s612,plain,
    ~ spl0_44,
    inference(rat,[],[s520,s584,s582,s609]) ).

cnf(s613,plain,
    ~ spl0_7,
    inference(rat,[],[s554,s610]) ).

cnf(s617,plain,
    spl0_15,
    inference(rat,[],[s32,s612,s581,s613]) ).

cnf(s620,plain,
    spl0_74,
    inference(rat,[],[s91,s617]) ).

cnf(s621,plain,
    spl0_73,
    inference(rat,[],[s90,s617]) ).

cnf(s622,plain,
    spl0_72,
    inference(rat,[],[s89,s617]) ).

cnf(s624,plain,
    ~ spl0_25,
    inference(rat,[],[s437,s620,s621,s622]) ).

cnf(s625,plain,
    spl0_162,
    inference(rat,[],[s241,s621,s610,s622]) ).

cnf(s629,plain,
    spl0_23,
    inference(rat,[],[s55,s600,s581,s624]) ).

cnf(s630,plain,
    $false,
    inference(rat,[],[s421,s621,s620,s629,s625]) ).

fof(f2051,plain,
    $false,
    inference(avatar_sat_refutation,[],[s630]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN504+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n001.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:25:03 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.54/1.14  % (466618)Detected formulas, will run a generic FOF schedule.
% 1.54/1.14  % (466625)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=1587751425:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.54/1.14  % (466623)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=2367081040:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.54/1.14  % (466624)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=3178963551:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.54/1.14  % (466628)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1721336437:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.54/1.14  % (466627)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2045733849:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.54/1.14  % (466626)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1653452871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.54/1.14  % (466629)dis-21_1_sil=8000:lcm=predicate:random_seed=1555790718: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)
% 1.54/1.14  % (466629)First to succeed.
% 1.54/1.14  % (466629)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-466618"
% 1.54/1.14  % (466627)Instruction limit reached! 
% 1.54/1.14  % (466627)------------------------------
% 1.54/1.14  % (466627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.54/1.14  % (466627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/1.14  % (466627)CaDiCaL version: 2.1.3
% 1.54/1.14  % (466627)Termination reason: Instruction limit
% 1.54/1.14  % (466627)Termination phase: Saturation
% 1.54/1.14  % (466627)Time elapsed: 0.058 s
% 1.54/1.14  % (466627)Peak memory usage: 88 MB
% 1.54/1.14  % (466627)Instructions burned: 119 (million)
% 1.54/1.14  % (466628)Also succeeded, but the first one will report.
% 1.54/1.14  % (466626)Instruction limit reached! 
% 1.54/1.14  % (466626)------------------------------
% 1.54/1.14  % (466626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.54/1.14  % (466626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/1.14  % (466626)CaDiCaL version: 2.1.3
% 1.54/1.14  % (466626)Termination reason: Instruction limit
% 1.54/1.14  % (466626)Termination phase: Saturation
% 1.54/1.14  % (466626)Time elapsed: 0.071 s
% 1.54/1.14  % (466626)Peak memory usage: 90 MB
% 1.54/1.14  % (466626)Instructions burned: 109 (million)
% 1.54/1.14  % (466637)lrs+10_1_sil=8000:sp=occurrence:random_seed=262724763:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.54/1.14  % (466638)lrs+10_1_sil=32000:urr=on:br=off:random_seed=469698368:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.54/1.14  % (466637)Also succeeded, but the first one will report.
% 1.54/1.14  % (466629)Refutation found. Thanks to Tanya!
% 1.54/1.14  % SZS status Theorem for theBenchmark
% 1.54/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.24  % (466629)------------------------------
% 3.88/1.24  % (466629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.24  % (466629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.24  % (466629)CaDiCaL version: 2.1.3
% 3.88/1.24  % (466629)Termination reason: Refutation
% 3.88/1.24  % (466629)Time elapsed: 0.035 s
% 3.88/1.24  % (466629)Peak memory usage: 90 MB
% 3.88/1.24  % (466629)Instructions burned: 58 (million)
% 3.88/1.24  % (466629)------------------------------
% 3.88/1.24  % (466629)------------------------------
% 3.88/1.24  % (466618)Success in time 0.476 s
% 3.88/1.24  % Vampire exiting
%------------------------------------------------------------------------------