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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN479+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:12:21 PM UTC 2026

% Result   : Theorem 0.20s 0.34s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :  169
% Syntax   : Number of formulae    : 1277 (   7 unt; 168 def)
%            Number of atoms       : 8268 (   0 equ)
%            Maximal formula atoms :  745 (   6 avg)
%            Number of connectives : 10901 (3910   ~;5465   |; 995   &)
%                                         ( 168 <=>; 363  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  205 ( 204 usr; 201 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  950 (   0 sgn 950   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1427)
          & c2_1(a1427)
          & ~ c3_1(a1427) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a1429)
          & c3_1(a1429)
          & ~ c0_1(a1429) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a1430)
          & ~ c0_1(a1430)
          & ~ c2_1(a1430) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1431)
          & ~ c0_1(a1431)
          & ~ c2_1(a1431) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1434)
          & c3_1(a1434)
          & ~ c2_1(a1434) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a1435)
          & ~ c2_1(a1435)
          & ~ c3_1(a1435) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a1437)
          & ~ c1_1(a1437)
          & ~ c2_1(a1437) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a1438)
          & ~ c0_1(a1438)
          & ~ c1_1(a1438) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1441)
          & c3_1(a1441)
          & ~ c1_1(a1441) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c1_1(a1444)
          & ~ c2_1(a1444)
          & ~ c3_1(a1444) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a1445)
          & ~ c1_1(a1445)
          & ~ c3_1(a1445) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a1447)
          & ~ c2_1(a1447)
          & ~ c3_1(a1447) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a1448)
          & c3_1(a1448)
          & ~ c2_1(a1448) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a1449)
          & c2_1(a1449)
          & ~ c3_1(a1449) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a1451)
          & ~ c1_1(a1451)
          & ~ c3_1(a1451) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a1452)
          & c1_1(a1452)
          & ~ c3_1(a1452) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a1454)
          & ~ c0_1(a1454)
          & ~ c3_1(a1454) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a1457)
          & ~ c1_1(a1457)
          & ~ c2_1(a1457) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a1458)
          & c1_1(a1458)
          & ~ c2_1(a1458) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a1460)
          & ~ c1_1(a1460)
          & ~ c3_1(a1460) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a1465)
          & c3_1(a1465)
          & ~ c1_1(a1465) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a1466)
          & c2_1(a1466)
          & ~ c1_1(a1466) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a1468)
          & c3_1(a1468)
          & ~ c0_1(a1468) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a1477)
          & ~ c0_1(a1477)
          & ~ c1_1(a1477) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a1487)
          & ~ c1_1(a1487)
          & ~ c2_1(a1487) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a1504)
          & c2_1(a1504)
          & ~ c0_1(a1504) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c2_1(a1517)
          & ~ c0_1(a1517)
          & ~ c3_1(a1517) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1428)
          & c2_1(a1428)
          & c3_1(a1428) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1456)
          & c1_1(a1456)
          & c3_1(a1456) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a1483)
          & c2_1(a1483)
          & c3_1(a1483) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a1507)
          & c1_1(a1507)
          & c2_1(a1507) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c0_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | ~ c0_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c3_1(X4)
              | ~ c0_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | ~ c2_1(X6)
              | ~ c3_1(X6) ) )
        | hskp27 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | hskp1
        | hskp2 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) )
        | hskp3 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c2_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | ~ c0_1(X15)
              | ~ c3_1(X15) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp0 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp0
        | hskp4 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c3_1(X24)
              | ~ c2_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | c3_1(X26)
              | ~ c2_1(X26) ) )
        | hskp5 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | ~ c0_1(X28)
              | ~ c3_1(X28) ) )
        | hskp5 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | hskp6
        | hskp7 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp2 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) )
        | hskp0 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp8
        | hskp7 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) )
        | hskp0 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) )
        | hskp9 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c0_1(X43)
              | ~ c1_1(X43) ) )
        | hskp10 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp5
        | hskp11 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | hskp12 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | hskp13
        | hskp1 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | hskp14 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp15 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) )
        | hskp7 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | c3_1(X56)
              | ~ c0_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | hskp16
        | hskp7 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp28 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | hskp17 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp18 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | hskp3
        | hskp19 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp12 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | hskp12 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c0_1(X70)
              | ~ c2_1(X70) ) )
        | hskp17 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | ~ c2_1(X72)
              | ~ c3_1(X72) ) )
        | hskp7 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp20 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | ~ c2_1(X76) ) )
        | hskp21 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | hskp19 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c1_1(X81)
              | ~ c2_1(X81) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c0_1(X83)
              | ~ c3_1(X83) ) )
        | hskp22 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | ~ c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c1_1(X88)
              | ~ c3_1(X88) ) )
        | hskp6 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp22
        | hskp9 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c3_1(X90)
              | ~ c2_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c3_1(X91) ) )
        | hskp13 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c2_1(X92) ) )
        | hskp0
        | hskp11 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c0_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp28 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c2_1(X95)
              | ~ c3_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp8 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c0_1(X98)
              | ~ c2_1(X98) ) )
        | hskp23 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp20
        | hskp11 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | c3_1(X101)
              | ~ c1_1(X101) ) )
        | hskp18 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | c3_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp11 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | hskp5
        | hskp29 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | hskp4
        | hskp7 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp4
        | hskp24 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | hskp7 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c1_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp12 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | c3_1(X111)
              | ~ c1_1(X111) ) )
        | hskp0
        | hskp3 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c3_1(X112) ) )
        | hskp5
        | hskp17 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c3_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | hskp22
        | hskp3 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | hskp16
        | hskp14 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp12
        | hskp11 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c1_1(X116)
              | ~ c2_1(X116) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | hskp23 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c1_1(X118)
              | ~ c2_1(X118) ) )
        | hskp21
        | hskp9 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c1_1(X119)
              | ~ c3_1(X119) ) )
        | hskp0
        | hskp25 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c2_1(X120)
              | ~ c3_1(X120) ) )
        | hskp25
        | hskp13 )
      & ( hskp30
        | hskp8
        | hskp3 )
      & ( hskp30
        | hskp24 )
      & ( hskp15
        | hskp27
        | hskp13 )
      & ( hskp0
        | hskp29
        | hskp26 )
      & ( hskp8
        | hskp12
        | hskp14 )
      & ( hskp8
        | hskp14
        | hskp19 )
      & ( hskp12
        | hskp10
        | hskp1 )
      & ( hskp25
        | hskp2
        | hskp17 )
      & ( hskp22
        | hskp3
        | hskp17 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1427)
            & c2_1(a1427)
            & ~ c3_1(a1427) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a1429)
            & c3_1(a1429)
            & ~ c0_1(a1429) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a1430)
            & ~ c0_1(a1430)
            & ~ c2_1(a1430) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1431)
            & ~ c0_1(a1431)
            & ~ c2_1(a1431) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1434)
            & c3_1(a1434)
            & ~ c2_1(a1434) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a1435)
            & ~ c2_1(a1435)
            & ~ c3_1(a1435) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a1437)
            & ~ c1_1(a1437)
            & ~ c2_1(a1437) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a1438)
            & ~ c0_1(a1438)
            & ~ c1_1(a1438) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1441)
            & c3_1(a1441)
            & ~ c1_1(a1441) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c1_1(a1444)
            & ~ c2_1(a1444)
            & ~ c3_1(a1444) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a1445)
            & ~ c1_1(a1445)
            & ~ c3_1(a1445) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a1447)
            & ~ c2_1(a1447)
            & ~ c3_1(a1447) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a1448)
            & c3_1(a1448)
            & ~ c2_1(a1448) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a1449)
            & c2_1(a1449)
            & ~ c3_1(a1449) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a1451)
            & ~ c1_1(a1451)
            & ~ c3_1(a1451) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a1452)
            & c1_1(a1452)
            & ~ c3_1(a1452) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a1454)
            & ~ c0_1(a1454)
            & ~ c3_1(a1454) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a1457)
            & ~ c1_1(a1457)
            & ~ c2_1(a1457) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a1458)
            & c1_1(a1458)
            & ~ c2_1(a1458) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a1460)
            & ~ c1_1(a1460)
            & ~ c3_1(a1460) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a1465)
            & c3_1(a1465)
            & ~ c1_1(a1465) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a1466)
            & c2_1(a1466)
            & ~ c1_1(a1466) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a1468)
            & c3_1(a1468)
            & ~ c0_1(a1468) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a1477)
            & ~ c0_1(a1477)
            & ~ c1_1(a1477) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a1487)
            & ~ c1_1(a1487)
            & ~ c2_1(a1487) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a1504)
            & c2_1(a1504)
            & ~ c0_1(a1504) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a1517)
            & ~ c0_1(a1517)
            & ~ c3_1(a1517) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1428)
            & c2_1(a1428)
            & c3_1(a1428) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1456)
            & c1_1(a1456)
            & c3_1(a1456) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a1483)
            & c2_1(a1483)
            & c3_1(a1483) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a1507)
            & c1_1(a1507)
            & c2_1(a1507) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c0_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c0_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c3_1(X4)
                | ~ c0_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) )
          | hskp27 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | hskp1
          | hskp2 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) )
          | hskp3 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c2_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | ~ c3_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp0 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp0
          | hskp4 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c3_1(X24)
                | ~ c2_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | c3_1(X26)
                | ~ c2_1(X26) ) )
          | hskp5 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c0_1(X28)
                | ~ c3_1(X28) ) )
          | hskp5 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | hskp6
          | hskp7 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp2 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) )
          | hskp0 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp8
          | hskp7 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) )
          | hskp0 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) )
          | hskp9 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c0_1(X43)
                | ~ c1_1(X43) ) )
          | hskp10 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp5
          | hskp11 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | hskp13
          | hskp1 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp15 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) )
          | hskp7 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | hskp16
          | hskp7 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp28 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp17 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp18 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp3
          | hskp19 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp12 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | hskp12 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c2_1(X70) ) )
          | hskp17 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | hskp7 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp20 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp21 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | hskp19 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c2_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c0_1(X83)
                | ~ c3_1(X83) ) )
          | hskp22 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c1_1(X88)
                | ~ c3_1(X88) ) )
          | hskp6 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp22
          | hskp9 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c3_1(X90)
                | ~ c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) )
          | hskp13 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) )
          | hskp0
          | hskp11 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp28 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c2_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp8 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c0_1(X98)
                | ~ c2_1(X98) ) )
          | hskp23 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp20
          | hskp11 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c3_1(X101)
                | ~ c1_1(X101) ) )
          | hskp18 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c3_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp11 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | hskp5
          | hskp29 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp4
          | hskp7 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp4
          | hskp24 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp7 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp12 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c3_1(X111)
                | ~ c1_1(X111) ) )
          | hskp0
          | hskp3 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c3_1(X112) ) )
          | hskp5
          | hskp17 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | hskp22
          | hskp3 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | hskp16
          | hskp14 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp12
          | hskp11 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c1_1(X116)
                | ~ c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | hskp23 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c2_1(X118) ) )
          | hskp21
          | hskp9 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c3_1(X119) ) )
          | hskp0
          | hskp25 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c2_1(X120)
                | ~ c3_1(X120) ) )
          | hskp25
          | hskp13 )
        & ( hskp30
          | hskp8
          | hskp3 )
        & ( hskp30
          | hskp24 )
        & ( hskp15
          | hskp27
          | hskp13 )
        & ( hskp0
          | hskp29
          | hskp26 )
        & ( hskp8
          | hskp12
          | hskp14 )
        & ( hskp8
          | hskp14
          | hskp19 )
        & ( hskp12
          | hskp10
          | hskp1 )
        & ( hskp25
          | hskp2
          | hskp17 )
        & ( hskp22
          | hskp3
          | hskp17 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1427)
        & c2_1(a1427)
        & ~ c3_1(a1427) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1429)
        & c3_1(a1429)
        & ~ c0_1(a1429) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a1430)
        & ~ c0_1(a1430)
        & ~ c2_1(a1430) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1431)
        & ~ c0_1(a1431)
        & ~ c2_1(a1431) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1434)
        & c3_1(a1434)
        & ~ c2_1(a1434) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1435)
        & ~ c2_1(a1435)
        & ~ c3_1(a1435) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1437)
        & ~ c1_1(a1437)
        & ~ c2_1(a1437) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a1438)
        & ~ c0_1(a1438)
        & ~ c1_1(a1438) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1441)
        & c3_1(a1441)
        & ~ c1_1(a1441) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a1444)
        & ~ c2_1(a1444)
        & ~ c3_1(a1444) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1445)
        & ~ c1_1(a1445)
        & ~ c3_1(a1445) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a1447)
        & ~ c2_1(a1447)
        & ~ c3_1(a1447) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1448)
        & c3_1(a1448)
        & ~ c2_1(a1448) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1449)
        & c2_1(a1449)
        & ~ c3_1(a1449) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1451)
        & ~ c1_1(a1451)
        & ~ c3_1(a1451) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1452)
        & c1_1(a1452)
        & ~ c3_1(a1452) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1454)
        & ~ c0_1(a1454)
        & ~ c3_1(a1454) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1457)
        & ~ c1_1(a1457)
        & ~ c2_1(a1457) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a1458)
        & c1_1(a1458)
        & ~ c2_1(a1458) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1460)
        & ~ c1_1(a1460)
        & ~ c3_1(a1460) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a1465)
        & c3_1(a1465)
        & ~ c1_1(a1465) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a1466)
        & c2_1(a1466)
        & ~ c1_1(a1466) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a1468)
        & c3_1(a1468)
        & ~ c0_1(a1468) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a1477)
        & ~ c0_1(a1477)
        & ~ c1_1(a1477) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1487)
        & ~ c1_1(a1487)
        & ~ c2_1(a1487) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1504)
        & c2_1(a1504)
        & ~ c0_1(a1504) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1517)
        & ~ c0_1(a1517)
        & ~ c3_1(a1517) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1428)
        & c2_1(a1428)
        & c3_1(a1428) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1456)
        & c1_1(a1456)
        & c3_1(a1456) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1483)
        & c2_1(a1483)
        & c3_1(a1483) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1507)
        & c1_1(a1507)
        & c2_1(a1507) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c0_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c0_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c3_1(X4)
            | ~ c0_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) )
      | hskp27 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | hskp1
      | hskp2 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) )
      | hskp3 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | c2_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c1_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c0_1(X15)
            | ~ c3_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | ~ c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp0 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c1_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | ~ c2_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c2_1(X21) ) )
      | hskp0
      | hskp4 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c3_1(X24)
            | ~ c2_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | c3_1(X26)
            | ~ c2_1(X26) ) )
      | hskp5 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c2_1(X28)
            | ~ c0_1(X28)
            | ~ c3_1(X28) ) )
      | hskp5 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | hskp6
      | hskp7 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | hskp2 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) )
      | hskp0 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | hskp8
      | hskp7 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) )
      | hskp0 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c2_1(X38) ) )
      | hskp9 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | ~ c0_1(X43)
            | ~ c1_1(X43) ) )
      | hskp10 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | hskp5
      | hskp11 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | hskp12 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | hskp13
      | hskp1 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | hskp14 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp15 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) )
      | hskp7 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | c3_1(X56)
            | ~ c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | hskp16
      | hskp7 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c0_1(X59)
            | ~ c1_1(X59) ) )
      | hskp28 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c0_1(X61)
            | ~ c3_1(X61) ) )
      | hskp17 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp18 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | hskp3
      | hskp19 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp12 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | hskp12 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c0_1(X70)
            | ~ c2_1(X70) ) )
      | hskp17 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | hskp7 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | hskp20 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | ~ c0_1(X76)
            | ~ c2_1(X76) ) )
      | hskp21 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | hskp19 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c2_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c0_1(X83)
            | ~ c3_1(X83) ) )
      | hskp22 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | ~ c3_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | ~ c1_1(X88)
            | ~ c3_1(X88) ) )
      | hskp6 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c2_1(X89)
            | ~ c3_1(X89) ) )
      | hskp22
      | hskp9 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c3_1(X90)
            | ~ c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c1_1(X91)
            | ~ c3_1(X91) ) )
      | hskp13 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | ~ c2_1(X92) ) )
      | hskp0
      | hskp11 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c0_1(X93)
            | ~ c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | ~ c2_1(X94)
            | ~ c3_1(X94) ) )
      | hskp28 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c2_1(X95)
            | ~ c3_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp8 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c0_1(X98)
            | ~ c2_1(X98) ) )
      | hskp23 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp20
      | hskp11 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c3_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c3_1(X101)
            | ~ c1_1(X101) ) )
      | hskp18 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c3_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp11 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | hskp5
      | hskp29 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c3_1(X105)
            | ~ c0_1(X105) ) )
      | hskp4
      | hskp7 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c0_1(X106) ) )
      | hskp4
      | hskp24 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c1_1(X108)
            | ~ c3_1(X108) ) )
      | hskp7 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c1_1(X110)
            | ~ c2_1(X110) ) )
      | hskp12 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c3_1(X111)
            | ~ c1_1(X111) ) )
      | hskp0
      | hskp3 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c0_1(X112)
            | ~ c3_1(X112) ) )
      | hskp5
      | hskp17 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | hskp22
      | hskp3 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c1_1(X114) ) )
      | hskp16
      | hskp14 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c2_1(X115) ) )
      | hskp12
      | hskp11 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c1_1(X116)
            | ~ c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c2_1(X117) ) )
      | hskp23 )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | ~ c1_1(X118)
            | ~ c2_1(X118) ) )
      | hskp21
      | hskp9 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c1_1(X119)
            | ~ c3_1(X119) ) )
      | hskp0
      | hskp25 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c1_1(X120)
            | ~ c2_1(X120)
            | ~ c3_1(X120) ) )
      | hskp25
      | hskp13 )
    & ( hskp30
      | hskp8
      | hskp3 )
    & ( hskp30
      | hskp24 )
    & ( hskp15
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp29
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp14 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( hskp12
      | hskp10
      | hskp1 )
    & ( hskp25
      | hskp2
      | hskp17 )
    & ( hskp22
      | hskp3
      | hskp17 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1427)
        & c2_1(a1427)
        & ~ c3_1(a1427) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1429)
        & c3_1(a1429)
        & ~ c0_1(a1429) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a1430)
        & ~ c0_1(a1430)
        & ~ c2_1(a1430) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1431)
        & ~ c0_1(a1431)
        & ~ c2_1(a1431) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1434)
        & c3_1(a1434)
        & ~ c2_1(a1434) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1435)
        & ~ c2_1(a1435)
        & ~ c3_1(a1435) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1437)
        & ~ c1_1(a1437)
        & ~ c2_1(a1437) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a1438)
        & ~ c0_1(a1438)
        & ~ c1_1(a1438) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1441)
        & c3_1(a1441)
        & ~ c1_1(a1441) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a1444)
        & ~ c2_1(a1444)
        & ~ c3_1(a1444) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1445)
        & ~ c1_1(a1445)
        & ~ c3_1(a1445) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a1447)
        & ~ c2_1(a1447)
        & ~ c3_1(a1447) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1448)
        & c3_1(a1448)
        & ~ c2_1(a1448) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1449)
        & c2_1(a1449)
        & ~ c3_1(a1449) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1451)
        & ~ c1_1(a1451)
        & ~ c3_1(a1451) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1452)
        & c1_1(a1452)
        & ~ c3_1(a1452) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1454)
        & ~ c0_1(a1454)
        & ~ c3_1(a1454) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1457)
        & ~ c1_1(a1457)
        & ~ c2_1(a1457) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a1458)
        & c1_1(a1458)
        & ~ c2_1(a1458) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1460)
        & ~ c1_1(a1460)
        & ~ c3_1(a1460) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a1465)
        & c3_1(a1465)
        & ~ c1_1(a1465) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a1466)
        & c2_1(a1466)
        & ~ c1_1(a1466) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a1468)
        & c3_1(a1468)
        & ~ c0_1(a1468) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a1477)
        & ~ c0_1(a1477)
        & ~ c1_1(a1477) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1487)
        & ~ c1_1(a1487)
        & ~ c2_1(a1487) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1504)
        & c2_1(a1504)
        & ~ c0_1(a1504) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1517)
        & ~ c0_1(a1517)
        & ~ c3_1(a1517) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1428)
        & c2_1(a1428)
        & c3_1(a1428) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1456)
        & c1_1(a1456)
        & c3_1(a1456) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1483)
        & c2_1(a1483)
        & c3_1(a1483) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1507)
        & c1_1(a1507)
        & c2_1(a1507) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c0_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c2_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp5
      | hskp11 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp16
      | hskp7 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp3
      | hskp19 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c2_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c0_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp22
      | hskp9 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp0
      | hskp11 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp20
      | hskp11 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c3_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | hskp5
      | hskp29 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp4
      | hskp24 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp5
      | hskp17 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp22
      | hskp3 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp16
      | hskp14 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp21
      | hskp9 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp0
      | hskp25 )
    & ( ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp25
      | hskp13 )
    & ( hskp30
      | hskp8
      | hskp3 )
    & ( hskp30
      | hskp24 )
    & ( hskp15
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp29
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp14 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( hskp12
      | hskp10
      | hskp1 )
    & ( hskp25
      | hskp2
      | hskp17 )
    & ( hskp22
      | hskp3
      | hskp17 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1427)
        & c2_1(a1427)
        & ~ c3_1(a1427) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1429)
        & c3_1(a1429)
        & ~ c0_1(a1429) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a1430)
        & ~ c0_1(a1430)
        & ~ c2_1(a1430) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1431)
        & ~ c0_1(a1431)
        & ~ c2_1(a1431) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1434)
        & c3_1(a1434)
        & ~ c2_1(a1434) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1435)
        & ~ c2_1(a1435)
        & ~ c3_1(a1435) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1437)
        & ~ c1_1(a1437)
        & ~ c2_1(a1437) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a1438)
        & ~ c0_1(a1438)
        & ~ c1_1(a1438) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1441)
        & c3_1(a1441)
        & ~ c1_1(a1441) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a1444)
        & ~ c2_1(a1444)
        & ~ c3_1(a1444) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1445)
        & ~ c1_1(a1445)
        & ~ c3_1(a1445) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a1447)
        & ~ c2_1(a1447)
        & ~ c3_1(a1447) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1448)
        & c3_1(a1448)
        & ~ c2_1(a1448) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1449)
        & c2_1(a1449)
        & ~ c3_1(a1449) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1451)
        & ~ c1_1(a1451)
        & ~ c3_1(a1451) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1452)
        & c1_1(a1452)
        & ~ c3_1(a1452) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1454)
        & ~ c0_1(a1454)
        & ~ c3_1(a1454) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1457)
        & ~ c1_1(a1457)
        & ~ c2_1(a1457) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a1458)
        & c1_1(a1458)
        & ~ c2_1(a1458) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1460)
        & ~ c1_1(a1460)
        & ~ c3_1(a1460) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a1465)
        & c3_1(a1465)
        & ~ c1_1(a1465) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a1466)
        & c2_1(a1466)
        & ~ c1_1(a1466) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a1468)
        & c3_1(a1468)
        & ~ c0_1(a1468) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a1477)
        & ~ c0_1(a1477)
        & ~ c1_1(a1477) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1487)
        & ~ c1_1(a1487)
        & ~ c2_1(a1487) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1504)
        & c2_1(a1504)
        & ~ c0_1(a1504) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1517)
        & ~ c0_1(a1517)
        & ~ c3_1(a1517) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1428)
        & c2_1(a1428)
        & c3_1(a1428) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1456)
        & c1_1(a1456)
        & c3_1(a1456) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1483)
        & c2_1(a1483)
        & c3_1(a1483) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1507)
        & c1_1(a1507)
        & c2_1(a1507) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c0_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c2_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp5
      | hskp11 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp16
      | hskp7 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp3
      | hskp19 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c2_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c0_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp22
      | hskp9 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp0
      | hskp11 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp20
      | hskp11 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c3_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | hskp5
      | hskp29 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp4
      | hskp24 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp5
      | hskp17 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp22
      | hskp3 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp16
      | hskp14 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp21
      | hskp9 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp0
      | hskp25 )
    & ( ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp25
      | hskp13 )
    & ( hskp30
      | hskp8
      | hskp3 )
    & ( hskp30
      | hskp24 )
    & ( hskp15
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp29
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp14 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( hskp12
      | hskp10
      | hskp1 )
    & ( hskp25
      | hskp2
      | hskp17 )
    & ( hskp22
      | hskp3
      | hskp17 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp22
    | hskp3
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp25
    | hskp2
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp12
    | hskp10
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp8
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp0
    | hskp29
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp15
    | hskp27
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp30
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp30
    | hskp8
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X120] :
      ( ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ c3_1(X120)
      | ~ ndr1_0
      | hskp25
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X119] :
      ( ~ c0_1(X119)
      | ~ c1_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | hskp0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X116,X117] :
      ( c3_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X115] :
      ( c3_1(X115)
      | ~ c0_1(X115)
      | ~ c2_1(X115)
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X114] :
      ( c3_1(X114)
      | ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ ndr1_0
      | hskp16
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X113] :
      ( c3_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | hskp22
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X112] :
      ( c2_1(X112)
      | ~ c0_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp5
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X111] :
      ( c2_1(X111)
      | c3_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | hskp0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X109,X110] :
      ( c2_1(X109)
      | c3_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ c2_1(X110)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X108,X107] :
      ( c2_1(X107)
      | c3_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X105] :
      ( c2_1(X105)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | hskp4
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | c3_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X98,X97] :
      ( c1_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | ~ c0_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X96,X95] :
      ( c1_1(X95)
      | ~ c2_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | c3_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X94,X93] :
      ( c1_1(X93)
      | ~ c0_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c3_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c1_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X89] :
      ( c1_1(X89)
      | c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp22
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X84,X85] :
      ( c1_1(X84)
      | c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | ~ c0_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | ~ c0_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X80,X81,X79] :
      ( c1_1(X79)
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X76,X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | c3_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X68,X67] :
      ( c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | c2_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp3
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | hskp16
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | c3_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c0_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X44] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | hskp5
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c2_1(X43)
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | c3_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c2_1(X28)
      | ~ c0_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | c3_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c1_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | ~ c0_1(X20)
      | ~ c2_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c2_1(X15)
      | ~ c0_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp30
    | c2_1(a1507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp30
    | c1_1(a1507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp30
    | c0_1(a1507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a1483) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c2_1(a1483) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c1_1(a1483) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c3_1(a1456) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c1_1(a1456) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c0_1(a1456) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c3_1(a1428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c2_1(a1428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | c0_1(a1428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | ~ c3_1(a1517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | ~ c0_1(a1517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | c2_1(a1517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | c2_1(a1504) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c1_1(a1504) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c2_1(a1487) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | ~ c1_1(a1487) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c3_1(a1487) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp23
    | c2_1(a1477) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | c3_1(a1468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | c1_1(a1468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c1_1(a1466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | c2_1(a1466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c0_1(a1466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp20
    | ~ c1_1(a1465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp20
    | c3_1(a1465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp20
    | c2_1(a1465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | ~ c1_1(a1460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | ~ c0_1(a1460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | c1_1(a1458) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c0_1(a1458) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c3_1(a1454) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | ~ c0_1(a1454) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | c1_1(a1454) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c3_1(a1452) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | c1_1(a1452) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c0_1(a1452) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c2_1(a1451) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c3_1(a1449) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | c2_1(a1449) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c1_1(a1449) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | c3_1(a1448) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c0_1(a1448) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c0_1(a1445) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c3_1(a1444) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp9
    | ~ c2_1(a1444) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp9
    | ~ c1_1(a1444) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | c3_1(a1441) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c0_1(a1441) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c3_1(a1438) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c0_1(a1435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c2_1(a1434) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | c3_1(a1434) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | c1_1(a1434) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | c1_1(a1431) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c3_1(a1430) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c0_1(a1429) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | c3_1(a1429) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c2_1(a1429) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | c2_1(a1427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c0_1(a1427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c2_1(a1427) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f207,plain,
    ( ~ hskp0
    | c3_1(a1427) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f208,plain,
    ( ~ hskp1
    | ~ c2_1(a1429) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f209,plain,
    ( ~ hskp1
    | ~ c3_1(a1429) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f211,plain,
    ( hskp2
    | ~ c3_1(a1430) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f212,plain,
    ( hskp2
    | ~ c0_1(a1430) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f213,plain,
    ( hskp2
    | c2_1(a1430) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f214,plain,
    ( ~ hskp3
    | ~ c1_1(a1431) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f215,plain,
    ( ~ hskp3
    | c2_1(a1431) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f217,plain,
    ( hskp4
    | ~ c1_1(a1434) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f218,plain,
    ( hskp4
    | ~ c3_1(a1434) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f219,plain,
    ( hskp4
    | c2_1(a1434) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f221,plain,
    ( hskp5
    | c0_1(a1435) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f222,plain,
    ( hskp5
    | c2_1(a1435) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f223,plain,
    ( hskp5
    | c3_1(a1435) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f229,plain,
    ( hskp7
    | ~ c3_1(a1438) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f230,plain,
    ( hskp7
    | ~ c0_1(a1438) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f231,plain,
    ( hskp7
    | c1_1(a1438) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f233,plain,
    ( hskp8
    | c0_1(a1441) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f234,plain,
    ( hskp8
    | ~ c3_1(a1441) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f235,plain,
    ( hskp8
    | c1_1(a1441) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f237,plain,
    ( hskp9
    | c1_1(a1444) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f238,plain,
    ( hskp9
    | c2_1(a1444) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f239,plain,
    ( hskp9
    | c3_1(a1444) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f241,plain,
    ( hskp10
    | c0_1(a1445) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f242,plain,
    ( hskp10
    | c1_1(a1445) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f243,plain,
    ( hskp10
    | c3_1(a1445) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f244,plain,
    ( ~ hskp11
    | c2_1(a1447) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f245,plain,
    ( ~ hskp11
    | c3_1(a1447) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f247,plain,
    ( hskp12
    | c0_1(a1448) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f248,plain,
    ( hskp12
    | ~ c3_1(a1448) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f249,plain,
    ( hskp12
    | c2_1(a1448) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f250,plain,
    ( ~ hskp13
    | ~ c1_1(a1449) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f251,plain,
    ( ~ hskp13
    | ~ c2_1(a1449) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f252,plain,
    ( ~ hskp13
    | c3_1(a1449) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f254,plain,
    ( hskp14
    | ~ c2_1(a1451) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f255,plain,
    ( hskp14
    | c1_1(a1451) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f256,plain,
    ( hskp14
    | c3_1(a1451) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f258,plain,
    ( hskp15
    | c0_1(a1452) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f259,plain,
    ( hskp15
    | ~ c1_1(a1452) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f260,plain,
    ( hskp15
    | c3_1(a1452) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f261,plain,
    ( ~ hskp16
    | ~ c1_1(a1454) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f262,plain,
    ( ~ hskp16
    | c3_1(a1454) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f263,plain,
    ( hskp17
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f264,plain,
    ( hskp17
    | ~ c0_1(a1457) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f265,plain,
    ( hskp17
    | c1_1(a1457) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f266,plain,
    ( hskp17
    | c2_1(a1457) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f267,plain,
    ( ~ hskp18
    | ~ c1_1(a1458) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f268,plain,
    ( ~ hskp18
    | c2_1(a1458) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f269,plain,
    ( ~ hskp19
    | c1_1(a1460) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f270,plain,
    ( ~ hskp19
    | c3_1(a1460) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f271,plain,
    ( ~ hskp20
    | ~ c2_1(a1465) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f272,plain,
    ( ~ hskp20
    | ~ c3_1(a1465) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f273,plain,
    ( ~ hskp20
    | c1_1(a1465) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f274,plain,
    ( ~ hskp21
    | ~ c2_1(a1466) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f275,plain,
    ( ~ hskp21
    | c1_1(a1466) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f276,plain,
    ( ~ hskp22
    | ~ c1_1(a1468) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f277,plain,
    ( ~ hskp22
    | ~ c3_1(a1468) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f279,plain,
    ( hskp23
    | ~ c2_1(a1477) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f280,plain,
    ( hskp23
    | ~ c0_1(a1477) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f281,plain,
    ( hskp23
    | c1_1(a1477) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f282,plain,
    ( ~ hskp24
    | ~ c3_1(a1487) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f283,plain,
    ( ~ hskp24
    | c1_1(a1487) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f284,plain,
    ( ~ hskp24
    | c2_1(a1487) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f286,plain,
    ( hskp25
    | ~ c1_1(a1504) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f287,plain,
    ( hskp25
    | ~ c2_1(a1504) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f288,plain,
    ( hskp25
    | ~ c0_1(a1504) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f289,plain,
    ( hskp26
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f290,plain,
    ( hskp26
    | ~ c2_1(a1517) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f291,plain,
    ( hskp26
    | ~ c0_1(a1517) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f292,plain,
    ( hskp26
    | c3_1(a1517) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f294,plain,
    ( hskp27
    | c0_1(a1428) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f295,plain,
    ( hskp27
    | ~ c2_1(a1428) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f296,plain,
    ( hskp27
    | ~ c3_1(a1428) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f298,plain,
    ( hskp28
    | c0_1(a1456) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f299,plain,
    ( hskp28
    | ~ c1_1(a1456) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f300,plain,
    ( hskp28
    | ~ c3_1(a1456) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f301,plain,
    ( ~ hskp29
    | ~ c1_1(a1483) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f302,plain,
    ( ~ hskp29
    | ~ c2_1(a1483) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f303,plain,
    ( ~ hskp29
    | ~ c3_1(a1483) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f305,plain,
    ( hskp30
    | c0_1(a1507) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f306,plain,
    ( hskp30
    | ~ c1_1(a1507) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f307,plain,
    ( hskp30
    | ~ c2_1(a1507) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f314,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c2_1(X15)
      | ~ c0_1(X15)
      | c3_1(X15)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f316,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | ~ c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | ~ c0_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f318,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f319,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | ~ c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f320,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | ~ c1_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f322,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f323,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | c1_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f324,plain,
    ! [X34] :
      ( c0_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | ~ hskp8
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f325,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | ~ c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c1_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f326,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | ~ c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | ~ c3_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f327,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | ~ c2_1(X39)
      | c3_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | ~ c1_1(X41)
      | ~ c3_1(X41)
      | c2_1(X41)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f328,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | ~ c2_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f329,plain,
    ! [X44] :
      ( c0_1(X44)
      | ~ c2_1(X44)
      | c3_1(X44)
      | ~ ndr1_0
      | ~ hskp5
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f330,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f331,plain,
    ! [X47] :
      ( c0_1(X47)
      | ~ c3_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f332,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c3_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | c0_1(X49)
      | c1_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f333,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c1_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | c0_1(X51)
      | c2_1(X51)
      | c3_1(X51)
      | ~ ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f335,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | c1_1(X54)
      | c2_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | c2_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f336,plain,
    ! [X57] :
      ( c0_1(X57)
      | c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | hskp16
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f337,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c1_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | ~ c0_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f338,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f339,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | c1_1(X62)
      | c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | c2_1(X63)
      | c3_1(X63)
      | ~ ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f340,plain,
    ! [X64] :
      ( c0_1(X64)
      | c1_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | hskp3
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f342,plain,
    ! [X68,X67] :
      ( c0_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c1_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f343,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | c2_1(X70)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f344,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c2_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f345,plain,
    ! [X73,X74] :
      ( ~ c1_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c0_1(X74)
      | c1_1(X74)
      | ~ ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f346,plain,
    ! [X76,X75] :
      ( ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f348,plain,
    ! [X80,X81,X79] :
      ( ~ c1_1(X79)
      | ~ c2_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | c1_1(X81)
      | c2_1(X81)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f349,plain,
    ! [X82,X83] :
      ( ~ c1_1(X82)
      | ~ c2_1(X82)
      | c3_1(X82)
      | ~ ndr1_0
      | ~ c2_1(X83)
      | ~ c0_1(X83)
      | c3_1(X83)
      | ~ ndr1_0
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f350,plain,
    ! [X86,X84,X85] :
      ( ~ c1_1(X84)
      | ~ c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | ~ c0_1(X85)
      | c1_1(X85)
      | ~ ndr1_0
      | ~ c0_1(X86)
      | c2_1(X86)
      | c3_1(X86)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f352,plain,
    ! [X89] :
      ( ~ c1_1(X89)
      | ~ c2_1(X89)
      | c3_1(X89)
      | ~ ndr1_0
      | hskp22
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f353,plain,
    ! [X90,X91] :
      ( ~ c1_1(X90)
      | ~ c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c1_1(X91)
      | c3_1(X91)
      | ~ ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f355,plain,
    ! [X94,X93] :
      ( ~ c1_1(X93)
      | ~ c0_1(X93)
      | c3_1(X93)
      | ~ ndr1_0
      | c1_1(X94)
      | c2_1(X94)
      | c3_1(X94)
      | ~ ndr1_0
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f356,plain,
    ! [X96,X95] :
      ( ~ c1_1(X95)
      | c2_1(X95)
      | c3_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f357,plain,
    ! [X98,X97] :
      ( ~ c1_1(X97)
      | c2_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c0_1(X98)
      | c2_1(X98)
      | ~ ndr1_0
      | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f359,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | c1_1(X101)
      | ~ ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f360,plain,
    ! [X102,X103] :
      ( ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c2_1(X103)
      | c3_1(X103)
      | ~ ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f362,plain,
    ! [X105] :
      ( ~ c2_1(X105)
      | ~ c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | ~ hskp4
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f364,plain,
    ! [X108,X107] :
      ( ~ c2_1(X107)
      | ~ c3_1(X107)
      | c1_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c3_1(X108)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f365,plain,
    ! [X109,X110] :
      ( ~ c2_1(X109)
      | ~ c3_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c3_1(X110)
      | c1_1(X110)
      | c2_1(X110)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f366,plain,
    ! [X111] :
      ( ~ c2_1(X111)
      | ~ c3_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | hskp0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f367,plain,
    ! [X112] :
      ( ~ c2_1(X112)
      | ~ c0_1(X112)
      | c3_1(X112)
      | ~ ndr1_0
      | ~ hskp5
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f368,plain,
    ! [X113] :
      ( ~ c3_1(X113)
      | ~ c0_1(X113)
      | c1_1(X113)
      | ~ ndr1_0
      | hskp22
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f369,plain,
    ! [X114] :
      ( ~ c3_1(X114)
      | ~ c0_1(X114)
      | c1_1(X114)
      | ~ ndr1_0
      | hskp16
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f370,plain,
    ! [X115] :
      ( ~ c3_1(X115)
      | ~ c0_1(X115)
      | c2_1(X115)
      | ~ ndr1_0
      | ~ hskp12
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f371,plain,
    ! [X116,X117] :
      ( ~ c3_1(X116)
      | c1_1(X116)
      | c2_1(X116)
      | ~ ndr1_0
      | ~ c0_1(X117)
      | c1_1(X117)
      | c2_1(X117)
      | ~ ndr1_0
      | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f373,plain,
    ! [X119] :
      ( ~ c0_1(X119)
      | c1_1(X119)
      | c3_1(X119)
      | ~ ndr1_0
      | hskp0
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f374,plain,
    ! [X120] :
      ( c1_1(X120)
      | c2_1(X120)
      | c3_1(X120)
      | ~ ndr1_0
      | ~ hskp25
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f375,plain,
    ( ~ hskp30
    | ~ hskp8
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f376,plain,
    ( ~ hskp30
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f377,plain,
    ( ~ hskp15
    | ~ hskp27
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f378,plain,
    ( hskp0
    | hskp29
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f379,plain,
    ( ~ hskp8
    | ~ hskp12
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f381,plain,
    ( ~ hskp12
    | ~ hskp10
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f382,plain,
    ( ~ hskp25
    | ~ hskp2
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f383,plain,
    ( hskp22
    | hskp3
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f384,plain,
    ! [X116,X117] :
      ( ~ c3_1(X116)
      | c1_1(X116)
      | c2_1(X116)
      | ~ ndr1_0
      | ~ c0_1(X117)
      | c1_1(X117)
      | c2_1(X117)
      | ~ hskp23 ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f385,plain,
    ! [X109,X110] :
      ( ~ c2_1(X109)
      | ~ c3_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | ~ c3_1(X110)
      | c1_1(X110)
      | c2_1(X110)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f365]) ).

fof(f386,plain,
    ! [X108,X107] :
      ( ~ c2_1(X107)
      | ~ c3_1(X107)
      | c1_1(X107)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c1_1(X108)
      | c3_1(X108)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f364]) ).

fof(f387,plain,
    ! [X102,X103] :
      ( ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c2_1(X103)
      | c3_1(X103)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f360]) ).

fof(f388,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | c1_1(X101)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f359]) ).

fof(f389,plain,
    ! [X98,X97] :
      ( ~ c1_1(X97)
      | c2_1(X97)
      | c3_1(X97)
      | ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c0_1(X98)
      | c2_1(X98)
      | ~ hskp23 ),
    inference(duplicate_literal_removal,[],[f357]) ).

fof(f390,plain,
    ! [X96,X95] :
      ( ~ c1_1(X95)
      | c2_1(X95)
      | c3_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96)
      | ~ hskp8 ),
    inference(duplicate_literal_removal,[],[f356]) ).

fof(f391,plain,
    ! [X94,X93] :
      ( ~ c1_1(X93)
      | ~ c0_1(X93)
      | c3_1(X93)
      | ~ ndr1_0
      | c1_1(X94)
      | c2_1(X94)
      | c3_1(X94)
      | ~ hskp28 ),
    inference(duplicate_literal_removal,[],[f355]) ).

fof(f392,plain,
    ! [X90,X91] :
      ( ~ c1_1(X90)
      | ~ c3_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c1_1(X91)
      | c3_1(X91)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f394,plain,
    ! [X86,X84,X85] :
      ( ~ c1_1(X84)
      | ~ c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | ~ c0_1(X85)
      | c1_1(X85)
      | ~ c0_1(X86)
      | c2_1(X86)
      | c3_1(X86) ),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f395,plain,
    ! [X82,X83] :
      ( ~ c1_1(X82)
      | ~ c2_1(X82)
      | c3_1(X82)
      | ~ ndr1_0
      | ~ c2_1(X83)
      | ~ c0_1(X83)
      | c3_1(X83)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f396,plain,
    ! [X80,X81,X79] :
      ( ~ c1_1(X79)
      | ~ c2_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ c0_1(X81)
      | c1_1(X81)
      | c2_1(X81) ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f398,plain,
    ! [X76,X75] :
      ( ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X76)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f399,plain,
    ! [X73,X74] :
      ( ~ c1_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c0_1(X74)
      | c1_1(X74)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f400,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c2_1(X72)
      | c3_1(X72)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f401,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | ~ c0_1(X70)
      | c2_1(X70)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f402,plain,
    ! [X68,X67] :
      ( c0_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c1_1(X68)
      | c3_1(X68)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f404,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | c1_1(X62)
      | c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | c2_1(X63)
      | c3_1(X63)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f405,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f338]) ).

fof(f406,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c1_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | ~ c0_1(X59)
      | c1_1(X59)
      | ~ hskp28 ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f407,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | c1_1(X54)
      | c2_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | c2_1(X55)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ~ c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f409,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c1_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | c0_1(X51)
      | c2_1(X51)
      | c3_1(X51)
      | ~ hskp15 ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f410,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c3_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | c0_1(X49)
      | c1_1(X49)
      | c2_1(X49)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f411,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | c1_1(X46)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f412,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | ~ c2_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f413,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | ~ c2_1(X39)
      | c3_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | ~ c1_1(X41)
      | ~ c3_1(X41)
      | c2_1(X41) ),
    inference(duplicate_literal_removal,[],[f327]) ).

fof(f414,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | ~ c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | ~ c3_1(X38)
      | c2_1(X38)
      | ~ hskp9 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f415,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | ~ c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | c1_1(X36)
      | c3_1(X36)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f416,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | c1_1(X33)
      | c3_1(X33)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f417,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ~ hskp2 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f418,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | ~ c1_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | c3_1(X28)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f419,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | ~ c3_1(X26)
      | c2_1(X26)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f420,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | c2_1(X24) ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f421,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | ~ c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ c0_1(X20)
      | c2_1(X20)
      | c3_1(X20) ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f423,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ c2_1(X15)
      | ~ c0_1(X15)
      | c3_1(X15) ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f430,definition,
    ( spl0_1
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f434,definition,
    ( spl0_2
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_3
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f441,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f383,f438,f434,f430]) ).

fof(f443,definition,
    ( spl0_4
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f447,definition,
    ( spl0_5
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f450,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f382,f447,f443,f430]) ).

fof(f452,definition,
    ( spl0_6
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f456,definition,
    ( spl0_7
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f460,definition,
    ( spl0_8
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f463,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f381,f460,f456,f452]) ).

fof(f465,definition,
    ( spl0_9
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f469,definition,
    ( spl0_10
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f473,definition,
    ( spl0_11
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f379,f473,f460,f469]) ).

fof(f479,definition,
    ( spl0_12
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f483,definition,
    ( spl0_13
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_14
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f378,f487,f483,f479]) ).

fof(f492,definition,
    ( spl0_15
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f496,definition,
    ( spl0_16
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_17
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f503,plain,
    ( spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f377,f500,f496,f492]) ).

fof(f505,definition,
    ( spl0_18
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f509,definition,
    ( spl0_19
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f512,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f376,f509,f505]) ).

fof(f513,plain,
    ( spl0_2
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f375,f509,f473,f434]) ).

fof(f515,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f519,definition,
    ( spl0_21
  <=> ! [X120] :
        ( c1_1(X120)
        | c3_1(X120)
        | c2_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f520,plain,
    ( ! [X120] :
        ( c1_1(X120)
        | c3_1(X120)
        | c2_1(X120) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( spl0_15
    | ~ spl0_5
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f374,f519,f515,f447,f492]) ).

fof(f523,definition,
    ( spl0_22
  <=> ! [X119] :
        ( ~ c0_1(X119)
        | c3_1(X119)
        | c1_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f524,plain,
    ( ! [X119] :
        ( c1_1(X119)
        | c3_1(X119)
        | ~ c0_1(X119) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f525,plain,
    ( ~ spl0_5
    | spl0_14
    | ~ spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f373,f523,f515,f487,f447]) ).

fof(f527,definition,
    ( spl0_23
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f531,definition,
    ( spl0_24
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f535,definition,
    ( spl0_25
  <=> ! [X118] :
        ( ~ c0_1(X118)
        | c2_1(X118)
        | c1_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f536,plain,
    ( ! [X118] :
        ( c1_1(X118)
        | c2_1(X118)
        | ~ c0_1(X118) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f539,definition,
    ( spl0_26
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f543,definition,
    ( spl0_27
  <=> ! [X116] :
        ( ~ c3_1(X116)
        | c2_1(X116)
        | c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f544,plain,
    ( ! [X116] :
        ( c1_1(X116)
        | c2_1(X116)
        | ~ c3_1(X116) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( ~ spl0_26
    | spl0_25
    | ~ spl0_20
    | spl0_27 ),
    inference(avatar_split_clause,[],[f384,f543,f515,f535,f539]) ).

fof(f547,definition,
    ( spl0_28
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f551,definition,
    ( spl0_29
  <=> ! [X115] :
        ( ~ c3_1(X115)
        | c2_1(X115)
        | ~ c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f552,plain,
    ( ! [X115] :
        ( ~ c3_1(X115)
        | c2_1(X115)
        | ~ c0_1(X115) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( spl0_28
    | ~ spl0_8
    | ~ spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f370,f551,f515,f460,f547]) ).

fof(f555,definition,
    ( spl0_30
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f559,definition,
    ( spl0_31
  <=> ! [X114] :
        ( ~ c3_1(X114)
        | c1_1(X114)
        | ~ c0_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f560,plain,
    ( ! [X114] :
        ( c1_1(X114)
        | ~ c3_1(X114)
        | ~ c0_1(X114) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ spl0_10
    | spl0_30
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f369,f559,f515,f555,f469]) ).

fof(f562,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f368,f559,f515,f438,f434]) ).

fof(f564,definition,
    ( spl0_32
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f568,definition,
    ( spl0_33
  <=> ! [X112] :
        ( ~ c2_1(X112)
        | c3_1(X112)
        | ~ c0_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X112] :
        ( c3_1(X112)
        | ~ c2_1(X112)
        | ~ c0_1(X112) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_1
    | ~ spl0_32
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f367,f568,f515,f564,f430]) ).

fof(f572,definition,
    ( spl0_34
  <=> ! [X111] :
        ( ~ c2_1(X111)
        | c1_1(X111)
        | ~ c3_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f573,plain,
    ( ! [X111] :
        ( c1_1(X111)
        | ~ c2_1(X111)
        | ~ c3_1(X111) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f574,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f366,f572,f515,f487,f434]) ).

fof(f575,plain,
    ( ~ spl0_8
    | spl0_27
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f385,f572,f515,f543,f460]) ).

fof(f577,definition,
    ( spl0_35
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f581,definition,
    ( spl0_36
  <=> ! [X108] :
        ( ~ c2_1(X108)
        | c3_1(X108)
        | c1_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X108] :
        ( c1_1(X108)
        | c3_1(X108)
        | ~ c2_1(X108) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f583,plain,
    ( ~ spl0_35
    | spl0_36
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f386,f572,f515,f581,f577]) ).

fof(f585,definition,
    ( spl0_37
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f589,definition,
    ( spl0_38
  <=> ! [X106] :
        ( ~ c2_1(X106)
        | ~ c0_1(X106)
        | ~ c3_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f590,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | ~ c0_1(X106)
        | ~ c2_1(X106) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f592,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f362,f589,f515,f585,f577]) ).

fof(f595,definition,
    ( spl0_39
  <=> ! [X103] :
        ( ~ c0_1(X103)
        | c3_1(X103)
        | c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X103] :
        ( c3_1(X103)
        | ~ c0_1(X103)
        | c2_1(X103) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( spl0_28
    | spl0_39
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f387,f589,f515,f595,f547]) ).

fof(f599,definition,
    ( spl0_40
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f602,plain,
    ( spl0_40
    | spl0_34
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f388,f589,f515,f572,f599]) ).

fof(f604,definition,
    ( spl0_41
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f608,definition,
    ( spl0_42
  <=> ! [X99] :
        ( ~ c1_1(X99)
        | c3_1(X99)
        | c2_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f609,plain,
    ( ! [X99] :
        ( ~ c1_1(X99)
        | c3_1(X99)
        | c2_1(X99) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f611,plain,
    ( ~ spl0_26
    | spl0_29
    | ~ spl0_20
    | spl0_42 ),
    inference(avatar_split_clause,[],[f389,f608,f515,f551,f539]) ).

fof(f612,plain,
    ( ~ spl0_11
    | spl0_31
    | ~ spl0_20
    | spl0_42 ),
    inference(avatar_split_clause,[],[f390,f608,f515,f559,f473]) ).

fof(f614,definition,
    ( spl0_43
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f618,definition,
    ( spl0_44
  <=> ! [X93] :
        ( ~ c1_1(X93)
        | c3_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f619,plain,
    ( ! [X93] :
        ( ~ c1_1(X93)
        | c3_1(X93)
        | ~ c0_1(X93) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( ~ spl0_43
    | spl0_21
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f391,f618,f515,f519,f614]) ).

fof(f622,definition,
    ( spl0_45
  <=> ! [X92] :
        ( ~ c1_1(X92)
        | c2_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f623,plain,
    ( ! [X92] :
        ( ~ c1_1(X92)
        | c2_1(X92)
        | ~ c0_1(X92) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f626,definition,
    ( spl0_46
  <=> ! [X90] :
        ( ~ c1_1(X90)
        | c2_1(X90)
        | ~ c3_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f627,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | c2_1(X90)
        | ~ c3_1(X90) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( spl0_15
    | spl0_22
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f392,f626,f515,f523,f492]) ).

fof(f630,definition,
    ( spl0_47
  <=> ! [X89] :
        ( ~ c1_1(X89)
        | c3_1(X89)
        | ~ c2_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f631,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | c3_1(X89)
        | ~ c2_1(X89) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( ~ spl0_23
    | spl0_3
    | ~ spl0_20
    | spl0_47 ),
    inference(avatar_split_clause,[],[f352,f630,f515,f438,f527]) ).

fof(f638,plain,
    ( spl0_39
    | spl0_31
    | ~ spl0_20
    | spl0_47 ),
    inference(avatar_split_clause,[],[f394,f630,f515,f559,f595]) ).

fof(f639,plain,
    ( spl0_3
    | spl0_33
    | ~ spl0_20
    | spl0_47 ),
    inference(avatar_split_clause,[],[f395,f630,f515,f568,f438]) ).

fof(f640,plain,
    ( spl0_25
    | spl0_42
    | ~ spl0_20
    | spl0_47 ),
    inference(avatar_split_clause,[],[f396,f630,f515,f608,f535]) ).

fof(f642,definition,
    ( spl0_49
  <=> ! [X77] :
        ( ~ c1_1(X77)
        | ~ c0_1(X77)
        | ~ c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f643,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | ~ c0_1(X77)
        | ~ c2_1(X77) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f398,f642,f515,f551,f531]) ).

fof(f646,plain,
    ( spl0_41
    | spl0_31
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f399,f642,f515,f559,f604]) ).

fof(f648,definition,
    ( spl0_50
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | ~ c3_1(X71)
        | ~ c2_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f649,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | ~ c3_1(X71)
        | ~ c2_1(X71) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f650,plain,
    ( ~ spl0_35
    | spl0_21
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f400,f648,f515,f519,f577]) ).

fof(f651,plain,
    ( ~ spl0_1
    | spl0_45
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f401,f648,f515,f622,f430]) ).

fof(f653,definition,
    ( spl0_51
  <=> ! [X67] :
        ( c0_1(X67)
        | c3_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f654,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( ~ spl0_8
    | spl0_36
    | ~ spl0_20
    | spl0_51 ),
    inference(avatar_split_clause,[],[f402,f653,f515,f581,f460]) ).

fof(f661,definition,
    ( spl0_53
  <=> ! [X64] :
        ( c0_1(X64)
        | c3_1(X64)
        | c1_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f662,plain,
    ( ! [X64] :
        ( c1_1(X64)
        | c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f663,plain,
    ( spl0_9
    | spl0_2
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f340,f661,f515,f434,f465]) ).

fof(f664,plain,
    ( spl0_40
    | spl0_39
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f404,f661,f515,f595,f599]) ).

fof(f665,plain,
    ( ~ spl0_1
    | spl0_33
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f405,f661,f515,f568,f430]) ).

fof(f667,definition,
    ( spl0_54
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c1_1(X59)
        | ~ c0_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f668,plain,
    ( ! [X59] :
        ( c1_1(X59)
        | ~ c2_1(X59)
        | ~ c0_1(X59) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( ~ spl0_43
    | spl0_54
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f406,f661,f515,f667,f614]) ).

fof(f671,definition,
    ( spl0_55
  <=> ! [X57] :
        ( c0_1(X57)
        | c2_1(X57)
        | c1_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f672,plain,
    ( ! [X57] :
        ( c1_1(X57)
        | c2_1(X57)
        | c0_1(X57) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f673,plain,
    ( ~ spl0_35
    | spl0_30
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f336,f671,f515,f555,f577]) ).

fof(f674,plain,
    ( spl0_38
    | spl0_46
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f407,f671,f515,f626,f589]) ).

fof(f676,plain,
    ( ~ spl0_17
    | spl0_51
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f409,f671,f515,f653,f500]) ).

fof(f678,definition,
    ( spl0_56
  <=> ! [X48] :
        ( c0_1(X48)
        | c2_1(X48)
        | ~ c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f679,plain,
    ( ! [X48] :
        ( ~ c3_1(X48)
        | c2_1(X48)
        | c0_1(X48) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f680,plain,
    ( ~ spl0_10
    | spl0_55
    | ~ spl0_20
    | spl0_56 ),
    inference(avatar_split_clause,[],[f410,f678,f515,f671,f469]) ).

fof(f682,definition,
    ( spl0_57
  <=> ! [X47] :
        ( c0_1(X47)
        | c1_1(X47)
        | ~ c3_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f683,plain,
    ( ! [X47] :
        ( c1_1(X47)
        | c0_1(X47)
        | ~ c3_1(X47) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f684,plain,
    ( spl0_6
    | spl0_15
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f331,f682,f515,f492,f452]) ).

fof(f685,plain,
    ( ~ spl0_8
    | spl0_34
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f411,f682,f515,f572,f460]) ).

fof(f687,definition,
    ( spl0_58
  <=> ! [X44] :
        ( c0_1(X44)
        | c3_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f688,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c0_1(X44)
        | ~ c2_1(X44) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( spl0_28
    | ~ spl0_32
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f329,f687,f515,f564,f547]) ).

fof(f690,plain,
    ( ~ spl0_7
    | spl0_54
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f412,f687,f515,f667,f456]) ).

fof(f691,plain,
    ( spl0_46
    | spl0_49
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f413,f687,f515,f642,f626]) ).

fof(f692,plain,
    ( ~ spl0_23
    | spl0_56
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f414,f687,f515,f678,f527]) ).

fof(f694,definition,
    ( spl0_59
  <=> ! [X35] :
        ( c0_1(X35)
        | c1_1(X35)
        | ~ c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f695,plain,
    ( ! [X35] :
        ( c1_1(X35)
        | c0_1(X35)
        | ~ c2_1(X35) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f696,plain,
    ( spl0_14
    | spl0_22
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f415,f694,f515,f523,f487]) ).

fof(f698,definition,
    ( spl0_60
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c3_1(X34)
        | ~ c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f699,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | c0_1(X34)
        | ~ c2_1(X34) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f700,plain,
    ( ~ spl0_35
    | ~ spl0_11
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f324,f698,f515,f473,f577]) ).

fof(f701,plain,
    ( spl0_14
    | spl0_36
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f416,f698,f515,f581,f487]) ).

fof(f702,plain,
    ( ~ spl0_4
    | spl0_50
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f417,f698,f515,f648,f443]) ).

fof(f704,definition,
    ( spl0_61
  <=> ! [X29] :
        ( c0_1(X29)
        | c3_1(X29)
        | ~ c1_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f705,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | c3_1(X29)
        | c0_1(X29) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( ~ spl0_32
    | spl0_33
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f418,f704,f515,f568,f564]) ).

fof(f708,plain,
    ( ~ spl0_32
    | spl0_46
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f419,f704,f515,f626,f564]) ).

fof(f709,plain,
    ( spl0_46
    | spl0_50
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f420,f704,f515,f648,f626]) ).

fof(f711,definition,
    ( spl0_62
  <=> ! [X21] :
        ( c0_1(X21)
        | c2_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f712,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | c2_1(X21)
        | c0_1(X21) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( spl0_39
    | spl0_42
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f421,f711,f515,f608,f595]) ).

fof(f716,plain,
    ( spl0_33
    | spl0_53
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f423,f711,f515,f661,f568]) ).

fof(f730,definition,
    ( spl0_65
  <=> c2_1(a1507) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_65
    | spl0_19 ),
    inference(avatar_split_clause,[],[f307,f509,f730]) ).

fof(f735,definition,
    ( spl0_66
  <=> c1_1(a1507) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f737,plain,
    ( ~ c1_1(a1507)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( ~ spl0_66
    | spl0_19 ),
    inference(avatar_split_clause,[],[f306,f509,f735]) ).

fof(f740,definition,
    ( spl0_67
  <=> c0_1(a1507) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f743,plain,
    ( spl0_67
    | spl0_19 ),
    inference(avatar_split_clause,[],[f305,f509,f740]) ).

fof(f746,definition,
    ( spl0_68
  <=> c3_1(a1483) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ spl0_68
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f303,f483,f746]) ).

fof(f751,definition,
    ( spl0_69
  <=> c2_1(a1483) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f754,plain,
    ( ~ spl0_69
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f302,f483,f751]) ).

fof(f756,definition,
    ( spl0_70
  <=> c1_1(a1483) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f758,plain,
    ( ~ c1_1(a1483)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( ~ spl0_70
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f301,f483,f756]) ).

fof(f760,plain,
    ( spl0_20
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f89,f483,f515]) ).

fof(f762,definition,
    ( spl0_71
  <=> c3_1(a1456) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ spl0_71
    | spl0_43 ),
    inference(avatar_split_clause,[],[f300,f614,f762]) ).

fof(f767,definition,
    ( spl0_72
  <=> c1_1(a1456) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ c1_1(a1456)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( ~ spl0_72
    | spl0_43 ),
    inference(avatar_split_clause,[],[f299,f614,f767]) ).

fof(f772,definition,
    ( spl0_73
  <=> c0_1(a1456) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_73
    | spl0_43 ),
    inference(avatar_split_clause,[],[f298,f614,f772]) ).

fof(f778,definition,
    ( spl0_74
  <=> c3_1(a1428) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ c3_1(a1428)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_74
    | spl0_16 ),
    inference(avatar_split_clause,[],[f296,f496,f778]) ).

fof(f783,definition,
    ( spl0_75
  <=> c2_1(a1428) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ spl0_75
    | spl0_16 ),
    inference(avatar_split_clause,[],[f295,f496,f783]) ).

fof(f788,definition,
    ( spl0_76
  <=> c0_1(a1428) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f791,plain,
    ( spl0_76
    | spl0_16 ),
    inference(avatar_split_clause,[],[f294,f496,f788]) ).

fof(f794,definition,
    ( spl0_77
  <=> c3_1(a1517) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f796,plain,
    ( c3_1(a1517)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( spl0_77
    | spl0_12 ),
    inference(avatar_split_clause,[],[f292,f479,f794]) ).

fof(f799,definition,
    ( spl0_78
  <=> c0_1(a1517) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f802,plain,
    ( ~ spl0_78
    | spl0_12 ),
    inference(avatar_split_clause,[],[f291,f479,f799]) ).

fof(f804,definition,
    ( spl0_79
  <=> c2_1(a1517) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f807,plain,
    ( ~ spl0_79
    | spl0_12 ),
    inference(avatar_split_clause,[],[f290,f479,f804]) ).

fof(f808,plain,
    ( spl0_20
    | spl0_12 ),
    inference(avatar_split_clause,[],[f289,f479,f515]) ).

fof(f810,definition,
    ( spl0_80
  <=> c0_1(a1504) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ spl0_80
    | spl0_5 ),
    inference(avatar_split_clause,[],[f288,f447,f810]) ).

fof(f815,definition,
    ( spl0_81
  <=> c2_1(a1504) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f818,plain,
    ( ~ spl0_81
    | spl0_5 ),
    inference(avatar_split_clause,[],[f287,f447,f815]) ).

fof(f820,definition,
    ( spl0_82
  <=> c1_1(a1504) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f822,plain,
    ( ~ c1_1(a1504)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f823,plain,
    ( ~ spl0_82
    | spl0_5 ),
    inference(avatar_split_clause,[],[f286,f447,f820]) ).

fof(f826,definition,
    ( spl0_83
  <=> c2_1(a1487) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f828,plain,
    ( c2_1(a1487)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_83
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f284,f505,f826]) ).

fof(f831,definition,
    ( spl0_84
  <=> c1_1(a1487) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f833,plain,
    ( c1_1(a1487)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_84
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f283,f505,f831]) ).

fof(f836,definition,
    ( spl0_85
  <=> c3_1(a1487) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f838,plain,
    ( ~ c3_1(a1487)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( ~ spl0_85
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f282,f505,f836]) ).

fof(f842,definition,
    ( spl0_86
  <=> c1_1(a1477) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f844,plain,
    ( c1_1(a1477)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl0_86
    | spl0_26 ),
    inference(avatar_split_clause,[],[f281,f539,f842]) ).

fof(f847,definition,
    ( spl0_87
  <=> c0_1(a1477) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f850,plain,
    ( ~ spl0_87
    | spl0_26 ),
    inference(avatar_split_clause,[],[f280,f539,f847]) ).

fof(f852,definition,
    ( spl0_88
  <=> c2_1(a1477) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ spl0_88
    | spl0_26 ),
    inference(avatar_split_clause,[],[f279,f539,f852]) ).

fof(f858,definition,
    ( spl0_89
  <=> c0_1(a1468) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ spl0_89
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f114,f438,f858]) ).

fof(f863,definition,
    ( spl0_90
  <=> c3_1(a1468) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ c3_1(a1468)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( ~ spl0_90
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f277,f438,f863]) ).

fof(f868,definition,
    ( spl0_91
  <=> c1_1(a1468) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f870,plain,
    ( ~ c1_1(a1468)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f871,plain,
    ( ~ spl0_91
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f276,f438,f868]) ).

fof(f874,definition,
    ( spl0_92
  <=> c1_1(a1466) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f876,plain,
    ( c1_1(a1466)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f877,plain,
    ( spl0_92
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f275,f531,f874]) ).

fof(f879,definition,
    ( spl0_93
  <=> c2_1(a1466) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ spl0_93
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f274,f531,f879]) ).

fof(f884,definition,
    ( spl0_94
  <=> c0_1(a1466) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f887,plain,
    ( spl0_94
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f120,f531,f884]) ).

fof(f890,definition,
    ( spl0_95
  <=> c1_1(a1465) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f892,plain,
    ( c1_1(a1465)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f893,plain,
    ( spl0_95
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f273,f604,f890]) ).

fof(f895,definition,
    ( spl0_96
  <=> c3_1(a1465) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ spl0_96
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f272,f604,f895]) ).

fof(f900,definition,
    ( spl0_97
  <=> c2_1(a1465) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f903,plain,
    ( ~ spl0_97
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f271,f604,f900]) ).

fof(f906,definition,
    ( spl0_98
  <=> c3_1(a1460) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f908,plain,
    ( c3_1(a1460)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( spl0_98
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f270,f465,f906]) ).

fof(f911,definition,
    ( spl0_99
  <=> c1_1(a1460) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f913,plain,
    ( c1_1(a1460)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( spl0_99
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f269,f465,f911]) ).

fof(f916,definition,
    ( spl0_100
  <=> c0_1(a1460) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ spl0_100
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f128,f465,f916]) ).

fof(f922,definition,
    ( spl0_101
  <=> c2_1(a1458) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f925,plain,
    ( spl0_101
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f268,f599,f922]) ).

fof(f927,definition,
    ( spl0_102
  <=> c1_1(a1458) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ c1_1(a1458)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( ~ spl0_102
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f267,f599,f927]) ).

fof(f932,definition,
    ( spl0_103
  <=> c0_1(a1458) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f935,plain,
    ( spl0_103
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f132,f599,f932]) ).

fof(f938,definition,
    ( spl0_104
  <=> c2_1(a1457) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f941,plain,
    ( spl0_104
    | spl0_1 ),
    inference(avatar_split_clause,[],[f266,f430,f938]) ).

fof(f943,definition,
    ( spl0_105
  <=> c1_1(a1457) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f945,plain,
    ( c1_1(a1457)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_105
    | spl0_1 ),
    inference(avatar_split_clause,[],[f265,f430,f943]) ).

fof(f948,definition,
    ( spl0_106
  <=> c0_1(a1457) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f951,plain,
    ( ~ spl0_106
    | spl0_1 ),
    inference(avatar_split_clause,[],[f264,f430,f948]) ).

fof(f952,plain,
    ( spl0_20
    | spl0_1 ),
    inference(avatar_split_clause,[],[f263,f430,f515]) ).

fof(f954,definition,
    ( spl0_107
  <=> c3_1(a1454) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f956,plain,
    ( c3_1(a1454)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f957,plain,
    ( spl0_107
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f262,f555,f954]) ).

fof(f959,definition,
    ( spl0_108
  <=> c0_1(a1454) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ spl0_108
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f139,f555,f959]) ).

fof(f964,definition,
    ( spl0_109
  <=> c1_1(a1454) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f966,plain,
    ( ~ c1_1(a1454)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f967,plain,
    ( ~ spl0_109
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f261,f555,f964]) ).

fof(f970,definition,
    ( spl0_110
  <=> c3_1(a1452) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f972,plain,
    ( c3_1(a1452)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f973,plain,
    ( spl0_110
    | spl0_17 ),
    inference(avatar_split_clause,[],[f260,f500,f970]) ).

fof(f975,definition,
    ( spl0_111
  <=> c1_1(a1452) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f977,plain,
    ( ~ c1_1(a1452)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f978,plain,
    ( ~ spl0_111
    | spl0_17 ),
    inference(avatar_split_clause,[],[f259,f500,f975]) ).

fof(f980,definition,
    ( spl0_112
  <=> c0_1(a1452) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f983,plain,
    ( spl0_112
    | spl0_17 ),
    inference(avatar_split_clause,[],[f258,f500,f980]) ).

fof(f986,definition,
    ( spl0_113
  <=> c3_1(a1451) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f988,plain,
    ( c3_1(a1451)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( spl0_113
    | spl0_10 ),
    inference(avatar_split_clause,[],[f256,f469,f986]) ).

fof(f991,definition,
    ( spl0_114
  <=> c1_1(a1451) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f993,plain,
    ( c1_1(a1451)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f994,plain,
    ( spl0_114
    | spl0_10 ),
    inference(avatar_split_clause,[],[f255,f469,f991]) ).

fof(f996,definition,
    ( spl0_115
  <=> c2_1(a1451) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f999,plain,
    ( ~ spl0_115
    | spl0_10 ),
    inference(avatar_split_clause,[],[f254,f469,f996]) ).

fof(f1002,definition,
    ( spl0_116
  <=> c3_1(a1449) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1004,plain,
    ( c3_1(a1449)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1005,plain,
    ( spl0_116
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f252,f492,f1002]) ).

fof(f1007,definition,
    ( spl0_117
  <=> c2_1(a1449) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ spl0_117
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f251,f492,f1007]) ).

fof(f1012,definition,
    ( spl0_118
  <=> c1_1(a1449) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1014,plain,
    ( ~ c1_1(a1449)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1015,plain,
    ( ~ spl0_118
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f250,f492,f1012]) ).

fof(f1018,definition,
    ( spl0_119
  <=> c2_1(a1448) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1021,plain,
    ( spl0_119
    | spl0_8 ),
    inference(avatar_split_clause,[],[f249,f460,f1018]) ).

fof(f1023,definition,
    ( spl0_120
  <=> c3_1(a1448) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1025,plain,
    ( ~ c3_1(a1448)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1026,plain,
    ( ~ spl0_120
    | spl0_8 ),
    inference(avatar_split_clause,[],[f248,f460,f1023]) ).

fof(f1028,definition,
    ( spl0_121
  <=> c0_1(a1448) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1031,plain,
    ( spl0_121
    | spl0_8 ),
    inference(avatar_split_clause,[],[f247,f460,f1028]) ).

fof(f1034,definition,
    ( spl0_122
  <=> c3_1(a1447) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1036,plain,
    ( c3_1(a1447)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1037,plain,
    ( spl0_122
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f245,f547,f1034]) ).

fof(f1039,definition,
    ( spl0_123
  <=> c2_1(a1447) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1042,plain,
    ( spl0_123
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f244,f547,f1039]) ).

fof(f1044,definition,
    ( spl0_124
  <=> c0_1(a1447) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1047,plain,
    ( ~ spl0_124
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f160,f547,f1044]) ).

fof(f1050,definition,
    ( spl0_125
  <=> c3_1(a1445) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1053,plain,
    ( spl0_125
    | spl0_7 ),
    inference(avatar_split_clause,[],[f243,f456,f1050]) ).

fof(f1055,definition,
    ( spl0_126
  <=> c1_1(a1445) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1057,plain,
    ( c1_1(a1445)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1058,plain,
    ( spl0_126
    | spl0_7 ),
    inference(avatar_split_clause,[],[f242,f456,f1055]) ).

fof(f1060,definition,
    ( spl0_127
  <=> c0_1(a1445) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1063,plain,
    ( spl0_127
    | spl0_7 ),
    inference(avatar_split_clause,[],[f241,f456,f1060]) ).

fof(f1066,definition,
    ( spl0_128
  <=> c3_1(a1444) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1068,plain,
    ( c3_1(a1444)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f1069,plain,
    ( spl0_128
    | spl0_23 ),
    inference(avatar_split_clause,[],[f239,f527,f1066]) ).

fof(f1071,definition,
    ( spl0_129
  <=> c2_1(a1444) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1073,plain,
    ( c2_1(a1444)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1074,plain,
    ( spl0_129
    | spl0_23 ),
    inference(avatar_split_clause,[],[f238,f527,f1071]) ).

fof(f1076,definition,
    ( spl0_130
  <=> c1_1(a1444) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1078,plain,
    ( c1_1(a1444)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1079,plain,
    ( spl0_130
    | spl0_23 ),
    inference(avatar_split_clause,[],[f237,f527,f1076]) ).

fof(f1082,definition,
    ( spl0_131
  <=> c1_1(a1441) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1084,plain,
    ( c1_1(a1441)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1085,plain,
    ( spl0_131
    | spl0_11 ),
    inference(avatar_split_clause,[],[f235,f473,f1082]) ).

fof(f1087,definition,
    ( spl0_132
  <=> c3_1(a1441) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1089,plain,
    ( ~ c3_1(a1441)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1090,plain,
    ( ~ spl0_132
    | spl0_11 ),
    inference(avatar_split_clause,[],[f234,f473,f1087]) ).

fof(f1092,definition,
    ( spl0_133
  <=> c0_1(a1441) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1095,plain,
    ( spl0_133
    | spl0_11 ),
    inference(avatar_split_clause,[],[f233,f473,f1092]) ).

fof(f1098,definition,
    ( spl0_134
  <=> c1_1(a1438) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1100,plain,
    ( c1_1(a1438)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1101,plain,
    ( spl0_134
    | spl0_35 ),
    inference(avatar_split_clause,[],[f231,f577,f1098]) ).

fof(f1103,definition,
    ( spl0_135
  <=> c0_1(a1438) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1106,plain,
    ( ~ spl0_135
    | spl0_35 ),
    inference(avatar_split_clause,[],[f230,f577,f1103]) ).

fof(f1108,definition,
    ( spl0_136
  <=> c3_1(a1438) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1110,plain,
    ( ~ c3_1(a1438)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1111,plain,
    ( ~ spl0_136
    | spl0_35 ),
    inference(avatar_split_clause,[],[f229,f577,f1108]) ).

fof(f1130,definition,
    ( spl0_140
  <=> c3_1(a1435) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1132,plain,
    ( c3_1(a1435)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1133,plain,
    ( spl0_140
    | spl0_32 ),
    inference(avatar_split_clause,[],[f223,f564,f1130]) ).

fof(f1135,definition,
    ( spl0_141
  <=> c2_1(a1435) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1137,plain,
    ( c2_1(a1435)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1138,plain,
    ( spl0_141
    | spl0_32 ),
    inference(avatar_split_clause,[],[f222,f564,f1135]) ).

fof(f1140,definition,
    ( spl0_142
  <=> c0_1(a1435) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1143,plain,
    ( spl0_142
    | spl0_32 ),
    inference(avatar_split_clause,[],[f221,f564,f1140]) ).

fof(f1146,definition,
    ( spl0_143
  <=> c2_1(a1434) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1149,plain,
    ( spl0_143
    | spl0_37 ),
    inference(avatar_split_clause,[],[f219,f585,f1146]) ).

fof(f1151,definition,
    ( spl0_144
  <=> c3_1(a1434) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1154,plain,
    ( ~ spl0_144
    | spl0_37 ),
    inference(avatar_split_clause,[],[f218,f585,f1151]) ).

fof(f1156,definition,
    ( spl0_145
  <=> c1_1(a1434) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1158,plain,
    ( ~ c1_1(a1434)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1156]) ).

fof(f1159,plain,
    ( ~ spl0_145
    | spl0_37 ),
    inference(avatar_split_clause,[],[f217,f585,f1156]) ).

fof(f1162,definition,
    ( spl0_146
  <=> c2_1(a1431) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1165,plain,
    ( spl0_146
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f215,f434,f1162]) ).

fof(f1167,definition,
    ( spl0_147
  <=> c0_1(a1431) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1170,plain,
    ( ~ spl0_147
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f191,f434,f1167]) ).

fof(f1172,definition,
    ( spl0_148
  <=> c1_1(a1431) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1174,plain,
    ( ~ c1_1(a1431)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1172]) ).

fof(f1175,plain,
    ( ~ spl0_148
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f214,f434,f1172]) ).

fof(f1178,definition,
    ( spl0_149
  <=> c2_1(a1430) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1181,plain,
    ( spl0_149
    | spl0_4 ),
    inference(avatar_split_clause,[],[f213,f443,f1178]) ).

fof(f1183,definition,
    ( spl0_150
  <=> c0_1(a1430) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1186,plain,
    ( ~ spl0_150
    | spl0_4 ),
    inference(avatar_split_clause,[],[f212,f443,f1183]) ).

fof(f1188,definition,
    ( spl0_151
  <=> c3_1(a1430) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1190,plain,
    ( ~ c3_1(a1430)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f1191,plain,
    ( ~ spl0_151
    | spl0_4 ),
    inference(avatar_split_clause,[],[f211,f443,f1188]) ).

fof(f1194,definition,
    ( spl0_152
  <=> c0_1(a1429) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1197,plain,
    ( ~ spl0_152
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f198,f452,f1194]) ).

fof(f1199,definition,
    ( spl0_153
  <=> c3_1(a1429) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1201,plain,
    ( ~ c3_1(a1429)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1202,plain,
    ( ~ spl0_153
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f209,f452,f1199]) ).

fof(f1204,definition,
    ( spl0_154
  <=> c2_1(a1429) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1207,plain,
    ( ~ spl0_154
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f208,f452,f1204]) ).

fof(f1210,definition,
    ( spl0_155
  <=> c3_1(a1427) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1212,plain,
    ( c3_1(a1427)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1210]) ).

fof(f1213,plain,
    ( spl0_155
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f207,f487,f1210]) ).

fof(f1215,definition,
    ( spl0_156
  <=> c2_1(a1427) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1218,plain,
    ( ~ spl0_156
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f206,f487,f1215]) ).

fof(f1220,definition,
    ( spl0_157
  <=> c0_1(a1427) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1223,plain,
    ( spl0_157
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f204,f487,f1220]) ).

fof(f1224,plain,
    ( spl0_20
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f205,f487,f515]) ).

fof(f1244,plain,
    ( c3_1(a1483)
    | c2_1(a1483)
    | ~ spl0_21
    | spl0_70 ),
    inference(resolution,[],[f520,f758]) ).

fof(f1245,plain,
    ( c3_1(a1507)
    | c2_1(a1507)
    | ~ spl0_21
    | spl0_66 ),
    inference(resolution,[],[f520,f737]) ).

fof(f1247,definition,
    ( spl0_158
  <=> c3_1(a1507) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1258,definition,
    ( spl0_160
  <=> c3_1(a1504) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1259,plain,
    ( ~ c3_1(a1504)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f1264,definition,
    ( spl0_161
  <=> c3_1(a1477) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1265,plain,
    ( ~ c3_1(a1477)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1266,plain,
    ( c3_1(a1477)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1269,definition,
    ( spl0_162
  <=> c2_1(a1468) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1274,definition,
    ( spl0_163
  <=> c3_1(a1466) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1275,plain,
    ( ~ c3_1(a1466)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f1280,definition,
    ( spl0_164
  <=> c2_1(a1460) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1285,definition,
    ( spl0_165
  <=> c3_1(a1458) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1290,definition,
    ( spl0_166
  <=> c2_1(a1454) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1295,definition,
    ( spl0_167
  <=> c2_1(a1452) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1301,definition,
    ( spl0_168
  <=> c2_1(a1445) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1302,plain,
    ( ~ c2_1(a1445)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1301]) ).

fof(f1307,definition,
    ( spl0_169
  <=> c2_1(a1441) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1309,plain,
    ( c2_1(a1441)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1307]) ).

fof(f1312,definition,
    ( spl0_170
  <=> c2_1(a1438) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1323,definition,
    ( spl0_172
  <=> c3_1(a1431) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1324,plain,
    ( ~ c3_1(a1431)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f1347,plain,
    ( c3_1(a1507)
    | ~ c0_1(a1507)
    | ~ spl0_22
    | spl0_66 ),
    inference(resolution,[],[f524,f737]) ).

fof(f1355,definition,
    ( spl0_174
  <=> c0_1(a1487) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1365,definition,
    ( spl0_176
  <=> c0_1(a1449) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1370,definition,
    ( spl0_177
  <=> c0_1(a1444) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1399,plain,
    ( c2_1(a1507)
    | ~ c0_1(a1507)
    | ~ spl0_25
    | spl0_66 ),
    inference(resolution,[],[f536,f737]) ).

fof(f1401,plain,
    ( c2_1(a1451)
    | ~ c0_1(a1451)
    | ~ spl0_29
    | ~ spl0_113 ),
    inference(resolution,[],[f552,f988]) ).

fof(f1403,definition,
    ( spl0_179
  <=> c0_1(a1451) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1406,plain,
    ( ~ spl0_179
    | spl0_115
    | ~ spl0_29
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1401,f986,f551,f996,f1403]) ).

fof(f1415,plain,
    ( ~ c3_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_31
    | spl0_111 ),
    inference(resolution,[],[f560,f977]) ).

fof(f1417,plain,
    ( ~ c3_1(a1458)
    | ~ c0_1(a1458)
    | ~ spl0_31
    | spl0_102 ),
    inference(resolution,[],[f560,f929]) ).

fof(f1425,plain,
    ( ~ c3_1(a1507)
    | ~ c0_1(a1507)
    | ~ spl0_31
    | spl0_66 ),
    inference(resolution,[],[f560,f737]) ).

fof(f1451,plain,
    ( c3_1(a1477)
    | c2_1(a1477)
    | ~ spl0_42
    | ~ spl0_86 ),
    inference(resolution,[],[f609,f844]) ).

fof(f1475,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(resolution,[],[f627,f560]) ).

fof(f1476,plain,
    ( c2_1(a1451)
    | ~ c3_1(a1451)
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(resolution,[],[f627,f993]) ).

fof(f1479,plain,
    ( c2_1(a1466)
    | ~ c3_1(a1466)
    | ~ spl0_46
    | ~ spl0_92 ),
    inference(resolution,[],[f627,f876]) ).

fof(f1481,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1475]) ).

fof(f1489,plain,
    ( c3_1(a1457)
    | ~ c2_1(a1457)
    | ~ spl0_47
    | ~ spl0_105 ),
    inference(resolution,[],[f631,f945]) ).

fof(f1495,definition,
    ( spl0_180
  <=> c3_1(a1457) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1497,plain,
    ( c3_1(a1457)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1495]) ).

fof(f1503,plain,
    ( spl0_88
    | spl0_161
    | ~ spl0_42
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1451,f842,f608,f1264,f852]) ).

fof(f1515,plain,
    ( c3_1(a1458)
    | ~ c0_1(a1458)
    | ~ spl0_22
    | spl0_102 ),
    inference(resolution,[],[f524,f929]) ).

fof(f1520,plain,
    ( c3_1(a1456)
    | ~ c0_1(a1456)
    | ~ spl0_22
    | spl0_72 ),
    inference(resolution,[],[f524,f769]) ).

fof(f1528,plain,
    ( c2_1(a1449)
    | ~ c0_1(a1449)
    | ~ spl0_25
    | spl0_118 ),
    inference(resolution,[],[f536,f1014]) ).

fof(f1539,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(resolution,[],[f609,f524]) ).

fof(f1542,plain,
    ( c3_1(a1441)
    | c2_1(a1441)
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(resolution,[],[f609,f1084]) ).

fof(f1545,plain,
    ( c3_1(a1465)
    | c2_1(a1465)
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(resolution,[],[f609,f892]) ).

fof(f1549,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1539]) ).

fof(f1552,plain,
    ( spl0_97
    | spl0_96
    | ~ spl0_42
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1545,f890,f608,f895,f900]) ).

fof(f1554,plain,
    ( spl0_39
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1549,f608,f523,f595]) ).

fof(f1563,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_39 ),
    inference(resolution,[],[f596,f552]) ).

fof(f1572,plain,
    ( ~ c0_1(a1441)
    | c2_1(a1441)
    | ~ spl0_39
    | spl0_132 ),
    inference(resolution,[],[f596,f1089]) ).

fof(f1582,plain,
    ( ~ c0_1(a1466)
    | c2_1(a1466)
    | ~ spl0_39
    | spl0_163 ),
    inference(resolution,[],[f596,f1275]) ).

fof(f1592,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1563]) ).

fof(f1604,plain,
    ( ~ c0_1(a1445)
    | ~ spl0_29
    | ~ spl0_39
    | spl0_168 ),
    inference(resolution,[],[f1592,f1302]) ).

fof(f1620,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(resolution,[],[f619,f524]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1620]) ).

fof(f1646,plain,
    ( ~ c0_1(a1448)
    | ~ spl0_22
    | ~ spl0_44
    | spl0_120 ),
    inference(resolution,[],[f1630,f1025]) ).

fof(f1667,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(resolution,[],[f649,f573]) ).

fof(f1676,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1667]) ).

fof(f1679,plain,
    ( ~ c2_1(a1447)
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_122 ),
    inference(resolution,[],[f1676,f1036]) ).

fof(f1682,plain,
    ( ~ spl0_123
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1679,f1034,f648,f572,f1039]) ).

fof(f1684,plain,
    ( c3_1(a1438)
    | c2_1(a1438)
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(resolution,[],[f1100,f609]) ).

fof(f1712,plain,
    ( c0_1(a1429)
    | c2_1(a1429)
    | ~ spl0_51
    | spl0_153 ),
    inference(resolution,[],[f654,f1201]) ).

fof(f1730,plain,
    ( c0_1(a1468)
    | c2_1(a1468)
    | ~ spl0_51
    | spl0_90 ),
    inference(resolution,[],[f654,f865]) ).

fof(f1731,plain,
    ( c0_1(a1477)
    | c2_1(a1477)
    | ~ spl0_51
    | spl0_161 ),
    inference(resolution,[],[f654,f1265]) ).

fof(f1733,plain,
    ( c0_1(a1504)
    | c2_1(a1504)
    | ~ spl0_51
    | spl0_160 ),
    inference(resolution,[],[f654,f1259]) ).

fof(f1744,plain,
    ( spl0_81
    | spl0_80
    | ~ spl0_51
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1733,f1258,f653,f810,f815]) ).

fof(f1745,plain,
    ( spl0_162
    | spl0_89
    | ~ spl0_51
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1730,f863,f653,f858,f1269]) ).

fof(f1766,plain,
    ( c3_1(a1434)
    | ~ c2_1(a1434)
    | ~ spl0_36
    | spl0_145 ),
    inference(resolution,[],[f582,f1158]) ).

fof(f1778,plain,
    ( c3_1(a1468)
    | ~ c2_1(a1468)
    | ~ spl0_36
    | spl0_91 ),
    inference(resolution,[],[f582,f870]) ).

fof(f1790,plain,
    ( spl0_170
    | spl0_136
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1684,f1098,f608,f1108,f1312]) ).

fof(f1792,plain,
    ( ~ spl0_121
    | ~ spl0_22
    | ~ spl0_44
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1646,f1023,f618,f523,f1028]) ).

fof(f1801,plain,
    ( spl0_69
    | spl0_68
    | ~ spl0_21
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1244,f756,f519,f746,f751]) ).

fof(f1802,plain,
    ( spl0_169
    | spl0_132
    | ~ spl0_42
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1542,f1082,f608,f1087,f1307]) ).

fof(f1813,plain,
    ( ~ c0_1(a1452)
    | ~ c2_1(a1452)
    | ~ spl0_38
    | ~ spl0_110 ),
    inference(resolution,[],[f972,f590]) ).

fof(f1823,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(resolution,[],[f520,f609]) ).

fof(f1831,plain,
    ( c3_1(a1468)
    | c2_1(a1468)
    | ~ spl0_21
    | spl0_91 ),
    inference(resolution,[],[f520,f870]) ).

fof(f1835,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1823]) ).

fof(f1854,plain,
    ( c2_1(a1428)
    | ~ spl0_21
    | ~ spl0_42
    | spl0_74 ),
    inference(resolution,[],[f1835,f780]) ).

fof(f1858,plain,
    ( spl0_75
    | ~ spl0_21
    | ~ spl0_42
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1854,f778,f608,f519,f783]) ).

fof(f1867,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_45 ),
    inference(resolution,[],[f623,f524]) ).

fof(f1871,plain,
    ( c2_1(a1441)
    | ~ c0_1(a1441)
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(resolution,[],[f623,f1084]) ).

fof(f1881,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1867]) ).

fof(f1899,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(resolution,[],[f643,f524]) ).

fof(f1900,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_34
    | ~ spl0_49 ),
    inference(resolution,[],[f643,f573]) ).

fof(f1913,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_34
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1900]) ).

fof(f1914,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1899]) ).

fof(f1916,plain,
    ( spl0_33
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1914,f642,f523,f568]) ).

fof(f1917,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(resolution,[],[f569,f590]) ).

fof(f1924,plain,
    ( ~ c2_1(a1448)
    | ~ c0_1(a1448)
    | ~ spl0_33
    | spl0_120 ),
    inference(resolution,[],[f569,f1025]) ).

fof(f1937,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1917]) ).

fof(f1938,plain,
    ( ~ spl0_121
    | ~ spl0_119
    | ~ spl0_33
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1924,f1023,f568,f1018,f1028]) ).

fof(f1975,plain,
    ( ~ c3_1(a1449)
    | ~ c0_1(a1449)
    | ~ spl0_31
    | spl0_118 ),
    inference(resolution,[],[f560,f1014]) ).

fof(f2027,plain,
    ( c3_1(a1468)
    | c0_1(a1468)
    | ~ spl0_53
    | spl0_91 ),
    inference(resolution,[],[f662,f870]) ).

fof(f2074,plain,
    ( ~ spl0_167
    | ~ spl0_112
    | ~ spl0_38
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1813,f970,f589,f980,f1295]) ).

fof(f2083,plain,
    ( ~ spl0_127
    | ~ spl0_29
    | ~ spl0_39
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1604,f1301,f595,f551,f1060]) ).

fof(f2105,plain,
    ( ~ c2_1(a1452)
    | ~ c3_1(a1452)
    | ~ spl0_34
    | spl0_111 ),
    inference(resolution,[],[f977,f573]) ).

fof(f2113,plain,
    ( ~ c0_1(a1435)
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(resolution,[],[f1937,f1137]) ).

fof(f2116,plain,
    ( ~ c0_1(a1441)
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_169 ),
    inference(resolution,[],[f1937,f1309]) ).

fof(f2117,plain,
    ( ~ c0_1(a1444)
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_129 ),
    inference(resolution,[],[f1937,f1073]) ).

fof(f2126,plain,
    ( ~ c0_1(a1487)
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_83 ),
    inference(resolution,[],[f1937,f828]) ).

fof(f2132,plain,
    ( spl0_38
    | ~ spl0_34
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1913,f642,f572,f589]) ).

fof(f2134,plain,
    ( ~ spl0_103
    | spl0_165
    | ~ spl0_22
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1515,f927,f523,f1285,f932]) ).

fof(f2138,plain,
    ( ~ c2_1(a1458)
    | ~ c0_1(a1458)
    | ~ spl0_54
    | spl0_102 ),
    inference(resolution,[],[f929,f668]) ).

fof(f2139,plain,
    ( ~ spl0_103
    | ~ spl0_101
    | ~ spl0_54
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2138,f927,f667,f922,f932]) ).

fof(f2143,plain,
    ( spl0_89
    | spl0_90
    | ~ spl0_53
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2027,f868,f661,f863,f858]) ).

fof(f2155,plain,
    ( c2_1(a1449)
    | ~ c3_1(a1449)
    | ~ spl0_27
    | spl0_118 ),
    inference(resolution,[],[f544,f1014]) ).

fof(f2156,plain,
    ( c2_1(a1452)
    | ~ c3_1(a1452)
    | ~ spl0_27
    | spl0_111 ),
    inference(resolution,[],[f544,f977]) ).

fof(f2163,plain,
    ( ~ spl0_110
    | spl0_167
    | ~ spl0_27
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2156,f975,f543,f1295,f970]) ).

fof(f2164,plain,
    ( ~ spl0_116
    | spl0_117
    | ~ spl0_27
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2155,f1012,f543,f1007,f1002]) ).

fof(f2184,plain,
    ( ~ c0_1(a1441)
    | ~ c2_1(a1441)
    | ~ spl0_49
    | ~ spl0_131 ),
    inference(resolution,[],[f643,f1084]) ).

fof(f2186,plain,
    ( ~ c0_1(a1445)
    | ~ c2_1(a1445)
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(resolution,[],[f643,f1057]) ).

fof(f2193,plain,
    ( ~ c0_1(a1487)
    | ~ c2_1(a1487)
    | ~ spl0_49
    | ~ spl0_84 ),
    inference(resolution,[],[f643,f833]) ).

fof(f2208,plain,
    ( ~ c3_1(a1444)
    | ~ c2_1(a1444)
    | ~ spl0_50
    | ~ spl0_130 ),
    inference(resolution,[],[f649,f1078]) ).

fof(f2211,plain,
    ( ~ c3_1(a1457)
    | ~ c2_1(a1457)
    | ~ spl0_50
    | ~ spl0_105 ),
    inference(resolution,[],[f649,f945]) ).

fof(f2212,plain,
    ( ~ c3_1(a1460)
    | ~ c2_1(a1460)
    | ~ spl0_50
    | ~ spl0_99 ),
    inference(resolution,[],[f649,f913]) ).

fof(f2220,plain,
    ( ~ spl0_129
    | ~ spl0_128
    | ~ spl0_50
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2208,f1076,f648,f1066,f1071]) ).

fof(f2223,plain,
    ( c3_1(a1431)
    | c0_1(a1431)
    | ~ spl0_53
    | spl0_148 ),
    inference(resolution,[],[f662,f1174]) ).

fof(f2237,plain,
    ( c2_1(a1449)
    | c0_1(a1449)
    | ~ spl0_55
    | spl0_118 ),
    inference(resolution,[],[f672,f1014]) ).

fof(f2242,plain,
    ( c2_1(a1468)
    | c0_1(a1468)
    | ~ spl0_55
    | spl0_91 ),
    inference(resolution,[],[f672,f870]) ).

fof(f2243,plain,
    ( c2_1(a1504)
    | c0_1(a1504)
    | ~ spl0_55
    | spl0_82 ),
    inference(resolution,[],[f672,f822]) ).

fof(f2247,plain,
    ( c0_1(a1431)
    | ~ c3_1(a1431)
    | ~ spl0_57
    | spl0_148 ),
    inference(resolution,[],[f683,f1174]) ).

fof(f2251,plain,
    ( c0_1(a1454)
    | ~ c3_1(a1454)
    | ~ spl0_57
    | spl0_109 ),
    inference(resolution,[],[f683,f966]) ).

fof(f2255,plain,
    ( c0_1(a1504)
    | ~ c3_1(a1504)
    | ~ spl0_57
    | spl0_82 ),
    inference(resolution,[],[f683,f822]) ).

fof(f2264,plain,
    ( ~ spl0_112
    | ~ spl0_110
    | ~ spl0_31
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1415,f975,f559,f970,f980]) ).

fof(f2265,plain,
    ( ~ spl0_103
    | ~ spl0_165
    | ~ spl0_31
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1417,f927,f559,f1285,f932]) ).

fof(f2267,plain,
    ( ~ spl0_176
    | ~ spl0_116
    | ~ spl0_31
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1975,f1012,f559,f1002,f1365]) ).

fof(f2271,plain,
    ( ~ spl0_104
    | spl0_180
    | ~ spl0_47
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1489,f943,f630,f1495,f938]) ).

fof(f2317,plain,
    ( c2_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_29
    | ~ spl0_110 ),
    inference(resolution,[],[f552,f972]) ).

fof(f2383,plain,
    ( c2_1(a1445)
    | ~ c3_1(a1445)
    | ~ spl0_46
    | ~ spl0_126 ),
    inference(resolution,[],[f627,f1057]) ).

fof(f2384,plain,
    ( c2_1(a1451)
    | ~ c3_1(a1451)
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(resolution,[],[f627,f993]) ).

fof(f2388,plain,
    ( c2_1(a1460)
    | ~ c3_1(a1460)
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(resolution,[],[f627,f913]) ).

fof(f2400,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(resolution,[],[f631,f524]) ).

fof(f2402,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_47
    | ~ spl0_53 ),
    inference(resolution,[],[f631,f662]) ).

fof(f2415,plain,
    ( c3_1(a1487)
    | ~ c2_1(a1487)
    | ~ spl0_47
    | ~ spl0_84 ),
    inference(resolution,[],[f631,f833]) ).

fof(f2419,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_47
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2402]) ).

fof(f2420,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2400]) ).

fof(f2430,plain,
    ( spl0_33
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2420,f630,f523,f568]) ).

fof(f2432,plain,
    ( ~ spl0_142
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2113,f1135,f589,f568,f1140]) ).

fof(f2433,plain,
    ( ~ spl0_133
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2116,f1307,f589,f568,f1092]) ).

fof(f2441,plain,
    ( ~ spl0_110
    | ~ spl0_167
    | ~ spl0_34
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2105,f975,f572,f1295,f970]) ).

fof(f2444,plain,
    ( ~ spl0_67
    | spl0_158
    | ~ spl0_22
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1347,f735,f523,f1247,f740]) ).

fof(f2458,plain,
    ( ~ spl0_67
    | ~ spl0_158
    | ~ spl0_31
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1425,f735,f559,f1247,f740]) ).

fof(f2473,plain,
    ( ~ c0_1(a1428)
    | c2_1(a1428)
    | ~ spl0_39
    | spl0_74 ),
    inference(resolution,[],[f780,f596]) ).

fof(f2529,plain,
    ( ~ c2_1(a1431)
    | ~ c3_1(a1431)
    | ~ spl0_34
    | spl0_148 ),
    inference(resolution,[],[f573,f1174]) ).

fof(f2533,plain,
    ( ~ c2_1(a1454)
    | ~ c3_1(a1454)
    | ~ spl0_34
    | spl0_109 ),
    inference(resolution,[],[f573,f966]) ).

fof(f2541,plain,
    ( ~ c0_1(a1435)
    | ~ c2_1(a1435)
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(resolution,[],[f590,f1132]) ).

fof(f2585,plain,
    ( c2_1(a1449)
    | c0_1(a1449)
    | ~ spl0_56
    | ~ spl0_116 ),
    inference(resolution,[],[f679,f1004]) ).

fof(f2588,plain,
    ( c2_1(a1454)
    | c0_1(a1454)
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(resolution,[],[f679,f956]) ).

fof(f2594,plain,
    ( c2_1(a1477)
    | c0_1(a1477)
    | ~ spl0_56
    | ~ spl0_161 ),
    inference(resolution,[],[f679,f1266]) ).

fof(f2595,plain,
    ( c2_1(a1517)
    | c0_1(a1517)
    | ~ spl0_56
    | ~ spl0_77 ),
    inference(resolution,[],[f679,f796]) ).

fof(f2600,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_56
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2595,f794,f678,f804,f799]) ).

fof(f2601,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_56
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2594,f1264,f678,f852,f847]) ).

fof(f2602,plain,
    ( spl0_108
    | spl0_166
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2588,f954,f678,f1290,f959]) ).

fof(f2605,plain,
    ( spl0_176
    | spl0_117
    | ~ spl0_56
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2585,f1002,f678,f1007,f1365]) ).

fof(f2609,plain,
    ( c0_1(a1430)
    | ~ c2_1(a1430)
    | ~ spl0_58
    | spl0_151 ),
    inference(resolution,[],[f688,f1190]) ).

fof(f2610,plain,
    ( c0_1(a1431)
    | ~ c2_1(a1431)
    | ~ spl0_58
    | spl0_172 ),
    inference(resolution,[],[f688,f1324]) ).

fof(f2611,plain,
    ( c0_1(a1438)
    | ~ c2_1(a1438)
    | ~ spl0_58
    | spl0_136 ),
    inference(resolution,[],[f688,f1110]) ).

fof(f2613,plain,
    ( c0_1(a1468)
    | ~ c2_1(a1468)
    | ~ spl0_58
    | spl0_90 ),
    inference(resolution,[],[f688,f865]) ).

fof(f2614,plain,
    ( c0_1(a1487)
    | ~ c2_1(a1487)
    | ~ spl0_58
    | spl0_85 ),
    inference(resolution,[],[f688,f838]) ).

fof(f2624,plain,
    ( ~ spl0_83
    | spl0_174
    | ~ spl0_58
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2614,f836,f687,f1355,f826]) ).

fof(f2627,plain,
    ( ~ spl0_170
    | spl0_135
    | ~ spl0_58
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2611,f1108,f687,f1103,f1312]) ).

fof(f2628,plain,
    ( ~ spl0_146
    | spl0_147
    | ~ spl0_58
    | spl0_172 ),
    inference(avatar_split_clause,[],[f2610,f1323,f687,f1167,f1162]) ).

fof(f2629,plain,
    ( ~ spl0_149
    | spl0_150
    | ~ spl0_58
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2609,f1188,f687,f1183,f1178]) ).

fof(f2631,plain,
    ( c0_1(a1431)
    | ~ c2_1(a1431)
    | ~ spl0_59
    | spl0_148 ),
    inference(resolution,[],[f695,f1174]) ).

fof(f2648,plain,
    ( c0_1(a1444)
    | ~ c2_1(a1444)
    | ~ spl0_60
    | ~ spl0_128 ),
    inference(resolution,[],[f699,f1068]) ).

fof(f2650,plain,
    ( c0_1(a1447)
    | ~ c2_1(a1447)
    | ~ spl0_60
    | ~ spl0_122 ),
    inference(resolution,[],[f699,f1036]) ).

fof(f2656,plain,
    ( c0_1(a1457)
    | ~ c2_1(a1457)
    | ~ spl0_60
    | ~ spl0_180 ),
    inference(resolution,[],[f699,f1497]) ).

fof(f2658,plain,
    ( c0_1(a1460)
    | ~ c2_1(a1460)
    | ~ spl0_60
    | ~ spl0_98 ),
    inference(resolution,[],[f699,f908]) ).

fof(f2670,plain,
    ( ~ spl0_104
    | spl0_106
    | ~ spl0_60
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2656,f1495,f698,f948,f938]) ).

fof(f2680,plain,
    ( c3_1(a1438)
    | c0_1(a1438)
    | ~ spl0_61
    | ~ spl0_134 ),
    inference(resolution,[],[f705,f1100]) ).

fof(f2685,plain,
    ( c3_1(a1457)
    | c0_1(a1457)
    | ~ spl0_61
    | ~ spl0_105 ),
    inference(resolution,[],[f705,f945]) ).

fof(f2691,plain,
    ( c3_1(a1477)
    | c0_1(a1477)
    | ~ spl0_61
    | ~ spl0_86 ),
    inference(resolution,[],[f705,f844]) ).

fof(f2692,plain,
    ( c3_1(a1487)
    | c0_1(a1487)
    | ~ spl0_61
    | ~ spl0_84 ),
    inference(resolution,[],[f705,f833]) ).

fof(f2700,plain,
    ( spl0_174
    | spl0_85
    | ~ spl0_61
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2692,f831,f704,f836,f1355]) ).

fof(f2709,plain,
    ( ~ spl0_143
    | spl0_144
    | ~ spl0_36
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1766,f1156,f581,f1151,f1146]) ).

fof(f2710,plain,
    ( ~ spl0_162
    | spl0_90
    | ~ spl0_36
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1778,f868,f581,f863,f1269]) ).

fof(f2717,plain,
    ( ~ spl0_146
    | spl0_147
    | ~ spl0_59
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2631,f1172,f694,f1167,f1162]) ).

fof(f2727,plain,
    ( ~ spl0_169
    | ~ spl0_133
    | ~ spl0_49
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2184,f1082,f642,f1092,f1307]) ).

fof(f2728,plain,
    ( ~ spl0_83
    | ~ spl0_174
    | ~ spl0_49
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2193,f831,f642,f1355,f826]) ).

fof(f2736,plain,
    ( ~ spl0_83
    | spl0_85
    | ~ spl0_47
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2415,f831,f630,f836,f826]) ).

fof(f2743,plain,
    ( ~ spl0_104
    | ~ spl0_180
    | ~ spl0_50
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2211,f943,f648,f1495,f938]) ).

fof(f2744,plain,
    ( ~ spl0_164
    | ~ spl0_98
    | ~ spl0_50
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2212,f911,f648,f906,f1280]) ).

fof(f2750,plain,
    ( ~ spl0_141
    | ~ spl0_142
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2541,f1130,f589,f1140,f1135]) ).

fof(f2751,plain,
    ( ~ spl0_168
    | ~ spl0_127
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2186,f1055,f642,f1060,f1301]) ).

fof(f2758,plain,
    ( spl0_65
    | spl0_158
    | ~ spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1245,f735,f519,f1247,f730]) ).

fof(f2761,plain,
    ( spl0_162
    | spl0_90
    | ~ spl0_21
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1831,f868,f519,f863,f1269]) ).

fof(f2772,plain,
    ( ~ spl0_67
    | spl0_65
    | ~ spl0_25
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1399,f735,f535,f730,f740]) ).

fof(f2774,plain,
    ( ~ spl0_176
    | spl0_117
    | ~ spl0_25
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1528,f1012,f535,f1007,f1365]) ).

fof(f2784,plain,
    ( spl0_29
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1481,f626,f559,f551]) ).

fof(f2785,plain,
    ( ~ spl0_113
    | spl0_115
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1476,f991,f626,f996,f986]) ).

fof(f2788,plain,
    ( ~ spl0_113
    | spl0_115
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2384,f991,f626,f996,f986]) ).

fof(f2794,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_55
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2243,f820,f671,f815,f810]) ).

fof(f2798,plain,
    ( spl0_89
    | spl0_162
    | ~ spl0_55
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2242,f868,f671,f1269,f858]) ).

fof(f2799,plain,
    ( ~ spl0_160
    | spl0_80
    | ~ spl0_57
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2255,f820,f682,f810,f1258]) ).

fof(f2800,plain,
    ( ~ spl0_172
    | spl0_147
    | ~ spl0_57
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2247,f1172,f682,f1167,f1323]) ).

fof(f2802,plain,
    ( ~ spl0_107
    | spl0_108
    | ~ spl0_57
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2251,f964,f682,f959,f954]) ).

fof(f2804,plain,
    ( spl0_88
    | spl0_87
    | ~ spl0_51
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1731,f1264,f653,f847,f852]) ).

fof(f2810,plain,
    ( ~ spl0_112
    | spl0_167
    | ~ spl0_29
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2317,f970,f551,f1295,f980]) ).

fof(f2830,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_61 ),
    inference(resolution,[],[f520,f705]) ).

fof(f2840,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2830]) ).

fof(f2854,plain,
    ( c2_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(resolution,[],[f552,f1212]) ).

fof(f2866,plain,
    ( ~ spl0_157
    | spl0_156
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2854,f1210,f551,f1215,f1220]) ).

fof(f2873,plain,
    ( ~ spl0_73
    | spl0_71
    | ~ spl0_22
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1520,f767,f523,f762,f772]) ).

fof(f2874,plain,
    ( spl0_39
    | ~ spl0_22
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1881,f622,f523,f595]) ).

fof(f2877,plain,
    ( ~ spl0_177
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2117,f1071,f589,f568,f1370]) ).

fof(f2880,plain,
    ( ~ spl0_174
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2126,f826,f589,f568,f1355]) ).

fof(f2887,plain,
    ( ~ spl0_133
    | spl0_169
    | ~ spl0_45
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1871,f1082,f622,f1307,f1092]) ).

fof(f2896,plain,
    ( ~ spl0_162
    | spl0_89
    | ~ spl0_58
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2613,f863,f687,f858,f1269]) ).

fof(f2899,plain,
    ( ~ spl0_129
    | spl0_177
    | ~ spl0_60
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2648,f1066,f698,f1370,f1071]) ).

fof(f2900,plain,
    ( ~ spl0_123
    | spl0_124
    | ~ spl0_60
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2650,f1034,f698,f1044,f1039]) ).

fof(f2903,plain,
    ( ~ spl0_164
    | spl0_100
    | ~ spl0_60
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2658,f906,f698,f916,f1280]) ).

fof(f2904,plain,
    ( spl0_106
    | spl0_180
    | ~ spl0_61
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2685,f943,f704,f1495,f948]) ).

fof(f2909,plain,
    ( ~ spl0_163
    | spl0_93
    | ~ spl0_46
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1479,f874,f626,f879,f1274]) ).

fof(f2910,plain,
    ( ~ spl0_125
    | spl0_168
    | ~ spl0_46
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2383,f1055,f626,f1301,f1050]) ).

fof(f2911,plain,
    ( ~ spl0_98
    | spl0_164
    | ~ spl0_46
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2388,f911,f626,f1280,f906]) ).

fof(f3041,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(resolution,[],[f672,f627]) ).

fof(f3043,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f3041]) ).

fof(f3045,plain,
    ( spl0_56
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f3043,f671,f626,f678]) ).

fof(f3047,plain,
    ( spl0_169
    | ~ spl0_133
    | ~ spl0_39
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1572,f1087,f595,f1092,f1307]) ).

fof(f3051,plain,
    ( spl0_93
    | ~ spl0_94
    | ~ spl0_39
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1582,f1274,f595,f884,f879]) ).

fof(f3055,plain,
    ( spl0_75
    | ~ spl0_76
    | ~ spl0_39
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2473,f778,f595,f788,f783]) ).

fof(f3057,plain,
    ( spl0_58
    | ~ spl0_47
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2419,f661,f630,f687]) ).

fof(f3061,plain,
    ( spl0_51
    | ~ spl0_21
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2840,f704,f519,f653]) ).

fof(f3063,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_61
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2680,f1098,f704,f1108,f1103]) ).

fof(f3065,plain,
    ( spl0_87
    | spl0_161
    | ~ spl0_61
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2691,f842,f704,f1264,f847]) ).

fof(f3075,plain,
    ( spl0_176
    | spl0_117
    | ~ spl0_55
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2237,f1012,f671,f1007,f1365]) ).

fof(f3078,plain,
    ( spl0_147
    | spl0_172
    | ~ spl0_53
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2223,f1172,f661,f1323,f1167]) ).

fof(f3084,plain,
    ( ~ spl0_172
    | ~ spl0_146
    | ~ spl0_34
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2529,f1172,f572,f1162,f1323]) ).

fof(f3085,plain,
    ( ~ spl0_107
    | ~ spl0_166
    | ~ spl0_34
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2533,f964,f572,f1290,f954]) ).

fof(f3086,plain,
    ( spl0_154
    | spl0_152
    | ~ spl0_51
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1712,f1199,f653,f1194,f1204]) ).

fof(f3211,plain,
    ( c2_1(a1451)
    | c0_1(a1451)
    | ~ spl0_62
    | ~ spl0_114 ),
    inference(resolution,[],[f712,f993]) ).

fof(f3218,plain,
    ( c2_1(a1477)
    | c0_1(a1477)
    | ~ spl0_62
    | ~ spl0_86 ),
    inference(resolution,[],[f712,f844]) ).

fof(f3221,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_62
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f3218,f842,f711,f852,f847]) ).

fof(f3222,plain,
    ( spl0_179
    | spl0_115
    | ~ spl0_62
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3211,f991,f711,f996,f1403]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s3,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s5,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s6,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s7,plain,
    ( spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s8,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s9,plain,
    ( spl0_2
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s10,plain,
    ( ~ spl0_5
    | spl0_15
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s11,plain,
    ( ~ spl0_5
    | spl0_14
    | ~ spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s13,plain,
    ( ~ spl0_20
    | spl0_25
    | ~ spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s14,plain,
    ( ~ spl0_8
    | ~ spl0_20
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s15,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s16,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_20
    | spl0_31 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s17,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s18,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_20
    | spl0_34 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s19,plain,
    ( ~ spl0_8
    | ~ spl0_20
    | spl0_27
    | spl0_34 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s20,plain,
    ( ~ spl0_20
    | spl0_34
    | ~ spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s22,plain,
    ( ~ spl0_20
    | ~ spl0_35
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s24,plain,
    ( ~ spl0_20
    | spl0_28
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s25,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_38
    | spl0_40 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s27,plain,
    ( ~ spl0_20
    | ~ spl0_26
    | spl0_29
    | spl0_42 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s28,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | spl0_31
    | spl0_42 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s29,plain,
    ( ~ spl0_20
    | spl0_21
    | ~ spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s31,plain,
    ( spl0_15
    | ~ spl0_20
    | spl0_22
    | spl0_46 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s32,plain,
    ( spl0_3
    | ~ spl0_20
    | ~ spl0_23
    | spl0_47 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s34,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_39
    | spl0_47 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s35,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_33
    | spl0_47 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s36,plain,
    ( ~ spl0_20
    | spl0_25
    | spl0_42
    | spl0_47 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s38,plain,
    ( ~ spl0_20
    | spl0_24
    | spl0_29
    | spl0_49 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s39,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s40,plain,
    ( ~ spl0_20
    | spl0_21
    | ~ spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s41,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | spl0_45
    | spl0_50 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s42,plain,
    ( ~ spl0_8
    | ~ spl0_20
    | spl0_36
    | spl0_51 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s44,plain,
    ( spl0_2
    | spl0_9
    | ~ spl0_20
    | spl0_53 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s45,plain,
    ( ~ spl0_20
    | spl0_39
    | spl0_40
    | spl0_53 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s46,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | spl0_33
    | spl0_53 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s47,plain,
    ( ~ spl0_20
    | ~ spl0_43
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s48,plain,
    ( ~ spl0_20
    | spl0_30
    | ~ spl0_35
    | spl0_55 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s49,plain,
    ( ~ spl0_20
    | spl0_38
    | spl0_46
    | spl0_55 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s51,plain,
    ( ~ spl0_17
    | ~ spl0_20
    | spl0_51
    | spl0_55 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s52,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s53,plain,
    ( spl0_6
    | spl0_15
    | ~ spl0_20
    | spl0_57 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s54,plain,
    ( ~ spl0_8
    | ~ spl0_20
    | spl0_34
    | spl0_57 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s55,plain,
    ( ~ spl0_20
    | spl0_28
    | ~ spl0_32
    | spl0_58 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s56,plain,
    ( ~ spl0_7
    | ~ spl0_20
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s57,plain,
    ( ~ spl0_20
    | spl0_46
    | spl0_49
    | spl0_58 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s58,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | spl0_56
    | spl0_58 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s59,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_22
    | spl0_59 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s60,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | ~ spl0_35
    | spl0_60 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s61,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_36
    | spl0_60 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s62,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s64,plain,
    ( ~ spl0_20
    | ~ spl0_32
    | spl0_33
    | spl0_61 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s65,plain,
    ( ~ spl0_20
    | ~ spl0_32
    | spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s66,plain,
    ( ~ spl0_20
    | spl0_46
    | spl0_50
    | spl0_61 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s68,plain,
    ( ~ spl0_20
    | spl0_39
    | spl0_42
    | spl0_62 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s70,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_53
    | spl0_62 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s77,plain,
    ( spl0_19
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s78,plain,
    ( spl0_19
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s79,plain,
    ( spl0_19
    | spl0_67 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s81,plain,
    ( ~ spl0_13
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s82,plain,
    ( ~ spl0_13
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s83,plain,
    ( ~ spl0_13
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s84,plain,
    ( ~ spl0_13
    | spl0_20 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s85,plain,
    ( spl0_43
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s86,plain,
    ( spl0_43
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s87,plain,
    ( spl0_43
    | spl0_73 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s89,plain,
    ( spl0_16
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s90,plain,
    ( spl0_16
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s91,plain,
    ( spl0_16
    | spl0_76 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s93,plain,
    ( spl0_12
    | spl0_77 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s94,plain,
    ( spl0_12
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s95,plain,
    ( spl0_12
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s96,plain,
    ( spl0_12
    | spl0_20 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s97,plain,
    ( spl0_5
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s98,plain,
    ( spl0_5
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s99,plain,
    ( spl0_5
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s101,plain,
    ( ~ spl0_18
    | spl0_83 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s102,plain,
    ( ~ spl0_18
    | spl0_84 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s103,plain,
    ( ~ spl0_18
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s105,plain,
    ( spl0_26
    | spl0_86 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s106,plain,
    ( spl0_26
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s107,plain,
    ( spl0_26
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s109,plain,
    ( ~ spl0_3
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s110,plain,
    ( ~ spl0_3
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s111,plain,
    ( ~ spl0_3
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s113,plain,
    ( ~ spl0_24
    | spl0_92 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s114,plain,
    ( ~ spl0_24
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s115,plain,
    ( ~ spl0_24
    | spl0_94 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s117,plain,
    ( ~ spl0_41
    | spl0_95 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s118,plain,
    ( ~ spl0_41
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s119,plain,
    ( ~ spl0_41
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s121,plain,
    ( ~ spl0_9
    | spl0_98 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s122,plain,
    ( ~ spl0_9
    | spl0_99 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s123,plain,
    ( ~ spl0_9
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s125,plain,
    ( ~ spl0_40
    | spl0_101 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s126,plain,
    ( ~ spl0_40
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s127,plain,
    ( ~ spl0_40
    | spl0_103 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s129,plain,
    ( spl0_1
    | spl0_104 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s130,plain,
    ( spl0_1
    | spl0_105 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s131,plain,
    ( spl0_1
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s132,plain,
    ( spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | spl0_107 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s135,plain,
    ( ~ spl0_30
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s137,plain,
    ( spl0_17
    | spl0_110 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s138,plain,
    ( spl0_17
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s139,plain,
    ( spl0_17
    | spl0_112 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s141,plain,
    ( spl0_10
    | spl0_113 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s142,plain,
    ( spl0_10
    | spl0_114 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s143,plain,
    ( spl0_10
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s145,plain,
    ( ~ spl0_15
    | spl0_116 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s146,plain,
    ( ~ spl0_15
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s147,plain,
    ( ~ spl0_15
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s149,plain,
    ( spl0_8
    | spl0_119 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s150,plain,
    ( spl0_8
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s151,plain,
    ( spl0_8
    | spl0_121 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s153,plain,
    ( ~ spl0_28
    | spl0_122 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s154,plain,
    ( ~ spl0_28
    | spl0_123 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s155,plain,
    ( ~ spl0_28
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1047]) ).

cnf(s157,plain,
    ( spl0_7
    | spl0_125 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s158,plain,
    ( spl0_7
    | spl0_126 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s159,plain,
    ( spl0_7
    | spl0_127 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s161,plain,
    ( spl0_23
    | spl0_128 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s162,plain,
    ( spl0_23
    | spl0_129 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s163,plain,
    ( spl0_23
    | spl0_130 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s165,plain,
    ( spl0_11
    | spl0_131 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s166,plain,
    ( spl0_11
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s167,plain,
    ( spl0_11
    | spl0_133 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s169,plain,
    ( spl0_35
    | spl0_134 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s170,plain,
    ( spl0_35
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s171,plain,
    ( spl0_35
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s177,plain,
    ( spl0_32
    | spl0_140 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s178,plain,
    ( spl0_32
    | spl0_141 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s179,plain,
    ( spl0_32
    | spl0_142 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s181,plain,
    ( spl0_37
    | spl0_143 ),
    inference(sat_conversion,[],[f1149]) ).

cnf(s182,plain,
    ( spl0_37
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s183,plain,
    ( spl0_37
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1159]) ).

cnf(s185,plain,
    ( ~ spl0_2
    | spl0_146 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s186,plain,
    ( ~ spl0_2
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s187,plain,
    ( ~ spl0_2
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1175]) ).

cnf(s189,plain,
    ( spl0_4
    | spl0_149 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s190,plain,
    ( spl0_4
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s191,plain,
    ( spl0_4
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1191]) ).

cnf(s193,plain,
    ( ~ spl0_6
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s194,plain,
    ( ~ spl0_6
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s195,plain,
    ( ~ spl0_6
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s197,plain,
    ( ~ spl0_14
    | spl0_155 ),
    inference(sat_conversion,[],[f1213]) ).

cnf(s198,plain,
    ( ~ spl0_14
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s199,plain,
    ( ~ spl0_14
    | spl0_157 ),
    inference(sat_conversion,[],[f1223]) ).

cnf(s200,plain,
    ( ~ spl0_14
    | spl0_20 ),
    inference(sat_conversion,[],[f1224]) ).

cnf(s230,plain,
    ( ~ spl0_29
    | ~ spl0_113
    | spl0_115
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1406]) ).

cnf(s241,plain,
    ( ~ spl0_42
    | ~ spl0_86
    | spl0_88
    | spl0_161 ),
    inference(sat_conversion,[],[f1503]) ).

cnf(s243,plain,
    ( ~ spl0_42
    | ~ spl0_95
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f1552]) ).

cnf(s245,plain,
    ( ~ spl0_22
    | spl0_39
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s251,plain,
    ( ~ spl0_34
    | ~ spl0_50
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s258,plain,
    ( ~ spl0_51
    | spl0_80
    | spl0_81
    | spl0_160 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s259,plain,
    ( ~ spl0_51
    | spl0_89
    | spl0_90
    | spl0_162 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s278,plain,
    ( ~ spl0_42
    | ~ spl0_134
    | spl0_136
    | spl0_170 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s280,plain,
    ( ~ spl0_22
    | ~ spl0_44
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s289,plain,
    ( ~ spl0_21
    | spl0_68
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s290,plain,
    ( ~ spl0_42
    | ~ spl0_131
    | spl0_132
    | spl0_169 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s297,plain,
    ( ~ spl0_21
    | ~ spl0_42
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f1858]) ).

cnf(s303,plain,
    ( ~ spl0_22
    | spl0_33
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1916]) ).

cnf(s304,plain,
    ( ~ spl0_33
    | ~ spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s321,plain,
    ( ~ spl0_38
    | ~ spl0_110
    | ~ spl0_112
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2074]) ).

cnf(s331,plain,
    ( ~ spl0_29
    | ~ spl0_39
    | ~ spl0_127
    | spl0_168 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s353,plain,
    ( ~ spl0_34
    | spl0_38
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2132]) ).

cnf(s355,plain,
    ( ~ spl0_22
    | spl0_102
    | ~ spl0_103
    | spl0_165 ),
    inference(sat_conversion,[],[f2134]) ).

cnf(s357,plain,
    ( ~ spl0_54
    | ~ spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s361,plain,
    ( ~ spl0_53
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s369,plain,
    ( ~ spl0_27
    | ~ spl0_110
    | spl0_111
    | spl0_167 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s370,plain,
    ( ~ spl0_27
    | ~ spl0_116
    | spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f2164]) ).

cnf(s376,plain,
    ( ~ spl0_50
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s386,plain,
    ( ~ spl0_31
    | ~ spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s387,plain,
    ( ~ spl0_31
    | spl0_102
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2265]) ).

cnf(s389,plain,
    ( ~ spl0_31
    | ~ spl0_116
    | spl0_118
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2267]) ).

cnf(s393,plain,
    ( ~ spl0_47
    | ~ spl0_104
    | ~ spl0_105
    | spl0_180 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s422,plain,
    ( ~ spl0_22
    | spl0_33
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2430]) ).

cnf(s423,plain,
    ( ~ spl0_33
    | ~ spl0_38
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2432]) ).

cnf(s424,plain,
    ( ~ spl0_33
    | ~ spl0_38
    | ~ spl0_133
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2433]) ).

cnf(s432,plain,
    ( ~ spl0_34
    | ~ spl0_110
    | spl0_111
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2441]) ).

cnf(s435,plain,
    ( ~ spl0_22
    | spl0_66
    | ~ spl0_67
    | spl0_158 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s450,plain,
    ( ~ spl0_31
    | spl0_66
    | ~ spl0_67
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2458]) ).

cnf(s464,plain,
    ( ~ spl0_56
    | ~ spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f2600]) ).

cnf(s465,plain,
    ( ~ spl0_56
    | spl0_87
    | spl0_88
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2601]) ).

cnf(s466,plain,
    ( ~ spl0_56
    | ~ spl0_107
    | spl0_108
    | spl0_166 ),
    inference(sat_conversion,[],[f2602]) ).

cnf(s469,plain,
    ( ~ spl0_56
    | ~ spl0_116
    | spl0_117
    | spl0_176 ),
    inference(sat_conversion,[],[f2605]) ).

cnf(s476,plain,
    ( ~ spl0_58
    | ~ spl0_83
    | spl0_85
    | spl0_174 ),
    inference(sat_conversion,[],[f2624]) ).

cnf(s479,plain,
    ( ~ spl0_58
    | spl0_135
    | spl0_136
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2627]) ).

cnf(s480,plain,
    ( ~ spl0_58
    | ~ spl0_146
    | spl0_147
    | spl0_172 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s481,plain,
    ( ~ spl0_58
    | ~ spl0_149
    | spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s488,plain,
    ( ~ spl0_60
    | ~ spl0_104
    | spl0_106
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2670]) ).

cnf(s495,plain,
    ( ~ spl0_61
    | ~ spl0_84
    | spl0_85
    | spl0_174 ),
    inference(sat_conversion,[],[f2700]) ).

cnf(s502,plain,
    ( ~ spl0_36
    | ~ spl0_143
    | spl0_144
    | spl0_145 ),
    inference(sat_conversion,[],[f2709]) ).

cnf(s503,plain,
    ( ~ spl0_36
    | spl0_90
    | spl0_91
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2710]) ).

cnf(s511,plain,
    ( ~ spl0_59
    | ~ spl0_146
    | spl0_147
    | spl0_148 ),
    inference(sat_conversion,[],[f2717]) ).

cnf(s521,plain,
    ( ~ spl0_49
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2727]) ).

cnf(s522,plain,
    ( ~ spl0_49
    | ~ spl0_83
    | ~ spl0_84
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2728]) ).

cnf(s530,plain,
    ( ~ spl0_47
    | ~ spl0_83
    | ~ spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f2736]) ).

cnf(s537,plain,
    ( ~ spl0_50
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2743]) ).

cnf(s538,plain,
    ( ~ spl0_50
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2744]) ).

cnf(s544,plain,
    ( ~ spl0_38
    | ~ spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2750]) ).

cnf(s545,plain,
    ( ~ spl0_49
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2751]) ).

cnf(s552,plain,
    ( ~ spl0_21
    | spl0_65
    | spl0_66
    | spl0_158 ),
    inference(sat_conversion,[],[f2758]) ).

cnf(s555,plain,
    ( ~ spl0_21
    | spl0_90
    | spl0_91
    | spl0_162 ),
    inference(sat_conversion,[],[f2761]) ).

cnf(s566,plain,
    ( ~ spl0_25
    | spl0_65
    | spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s568,plain,
    ( ~ spl0_25
    | spl0_117
    | spl0_118
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2774]) ).

cnf(s578,plain,
    ( spl0_29
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2784]) ).

cnf(s579,plain,
    ( ~ spl0_46
    | ~ spl0_113
    | ~ spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f2785]) ).

cnf(s583,plain,
    ( ~ spl0_46
    | ~ spl0_113
    | ~ spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f2788]) ).

cnf(s589,plain,
    ( ~ spl0_55
    | spl0_80
    | spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f2794]) ).

cnf(s593,plain,
    ( ~ spl0_55
    | spl0_89
    | spl0_91
    | spl0_162 ),
    inference(sat_conversion,[],[f2798]) ).

cnf(s594,plain,
    ( ~ spl0_57
    | spl0_80
    | spl0_82
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2799]) ).

cnf(s595,plain,
    ( ~ spl0_57
    | spl0_147
    | spl0_148
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2800]) ).

cnf(s597,plain,
    ( ~ spl0_57
    | ~ spl0_107
    | spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f2802]) ).

cnf(s599,plain,
    ( ~ spl0_51
    | spl0_87
    | spl0_88
    | spl0_161 ),
    inference(sat_conversion,[],[f2804]) ).

cnf(s605,plain,
    ( ~ spl0_29
    | ~ spl0_110
    | ~ spl0_112
    | spl0_167 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s606,plain,
    ( ~ spl0_29
    | ~ spl0_155
    | spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2866]) ).

cnf(s613,plain,
    ( ~ spl0_22
    | spl0_71
    | spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f2873]) ).

cnf(s614,plain,
    ( ~ spl0_22
    | spl0_39
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f2874]) ).

cnf(s617,plain,
    ( ~ spl0_33
    | ~ spl0_38
    | ~ spl0_129
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2877]) ).

cnf(s620,plain,
    ( ~ spl0_33
    | ~ spl0_38
    | ~ spl0_83
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2880]) ).

cnf(s633,plain,
    ( ~ spl0_45
    | ~ spl0_131
    | ~ spl0_133
    | spl0_169 ),
    inference(sat_conversion,[],[f2887]) ).

cnf(s643,plain,
    ( ~ spl0_58
    | spl0_89
    | spl0_90
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2896]) ).

cnf(s646,plain,
    ( ~ spl0_60
    | ~ spl0_128
    | ~ spl0_129
    | spl0_177 ),
    inference(sat_conversion,[],[f2899]) ).

cnf(s647,plain,
    ( ~ spl0_60
    | ~ spl0_122
    | ~ spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f2900]) ).

cnf(s650,plain,
    ( ~ spl0_60
    | ~ spl0_98
    | spl0_100
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2903]) ).

cnf(s651,plain,
    ( ~ spl0_61
    | ~ spl0_105
    | spl0_106
    | spl0_180 ),
    inference(sat_conversion,[],[f2904]) ).

cnf(s656,plain,
    ( ~ spl0_46
    | ~ spl0_92
    | spl0_93
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2909]) ).

cnf(s657,plain,
    ( ~ spl0_46
    | ~ spl0_125
    | ~ spl0_126
    | spl0_168 ),
    inference(sat_conversion,[],[f2910]) ).

cnf(s658,plain,
    ( ~ spl0_46
    | ~ spl0_98
    | ~ spl0_99
    | spl0_164 ),
    inference(sat_conversion,[],[f2911]) ).

cnf(s664,plain,
    ( ~ spl0_46
    | ~ spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f3045]) ).

cnf(s666,plain,
    ( ~ spl0_39
    | spl0_132
    | ~ spl0_133
    | spl0_169 ),
    inference(sat_conversion,[],[f3047]) ).

cnf(s670,plain,
    ( ~ spl0_39
    | spl0_93
    | ~ spl0_94
    | spl0_163 ),
    inference(sat_conversion,[],[f3051]) ).

cnf(s674,plain,
    ( ~ spl0_39
    | spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f3055]) ).

cnf(s676,plain,
    ( ~ spl0_47
    | ~ spl0_53
    | spl0_58 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s680,plain,
    ( ~ spl0_21
    | spl0_51
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f3061]) ).

cnf(s682,plain,
    ( ~ spl0_61
    | ~ spl0_134
    | spl0_135
    | spl0_136 ),
    inference(sat_conversion,[],[f3063]) ).

cnf(s684,plain,
    ( ~ spl0_61
    | ~ spl0_86
    | spl0_87
    | spl0_161 ),
    inference(sat_conversion,[],[f3065]) ).

cnf(s695,plain,
    ( ~ spl0_55
    | spl0_117
    | spl0_118
    | spl0_176 ),
    inference(sat_conversion,[],[f3075]) ).

cnf(s698,plain,
    ( ~ spl0_53
    | spl0_147
    | spl0_148
    | spl0_172 ),
    inference(sat_conversion,[],[f3078]) ).

cnf(s704,plain,
    ( ~ spl0_34
    | ~ spl0_146
    | spl0_148
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3084]) ).

cnf(s705,plain,
    ( ~ spl0_34
    | ~ spl0_107
    | spl0_109
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3085]) ).

cnf(s706,plain,
    ( ~ spl0_51
    | spl0_152
    | spl0_153
    | spl0_154 ),
    inference(sat_conversion,[],[f3086]) ).

cnf(s709,plain,
    ( ~ spl0_62
    | ~ spl0_86
    | spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f3221]) ).

cnf(s710,plain,
    ( ~ spl0_62
    | ~ spl0_114
    | spl0_115
    | spl0_179 ),
    inference(sat_conversion,[],[f3222]) ).

cnf(s711,plain,
    ( spl0_17
    | ~ spl0_31 ),
    inference(rat,[],[s386,s137,s138,s139]) ).

cnf(s712,plain,
    ( spl0_11
    | ~ spl0_49
    | ~ spl0_113
    | ~ spl0_114
    | spl0_115
    | ~ spl0_20 ),
    inference(rat,[],[s709,s105,s106,s107,s27,s230,s710,s68,s666,s290,s521,s165,s166,s167]) ).

cnf(s713,plain,
    ( spl0_56
    | spl0_55
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s170,s682,s169,s171,s60,s712,s488,s651,s66,s376,s161,s162,s163,s57,s58,s583,s141,s142,s143,s52,s132,s131,s130,s129]) ).

cnf(s714,plain,
    ( ~ spl0_15
    | ~ spl0_56
    | ~ spl0_31 ),
    inference(rat,[],[s469,s389,s145,s146,s147]) ).

cnf(s715,plain,
    ( spl0_5
    | spl0_58
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s706,s193,s194,s195,s53,s714,s713,s594,s258,s51,s589,s97,s98,s99,s132,s711]) ).

cnf(s716,plain,
    ( ~ spl0_6
    | ~ spl0_51 ),
    inference(rat,[],[s706,s193,s194,s195]) ).

cnf(s717,plain,
    ( spl0_22
    | spl0_15
    | ~ spl0_5
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(rat,[],[s606,s578,s197,s198,s199,s31,s11]) ).

cnf(s718,plain,
    ( ~ spl0_40
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(rat,[],[s355,s387,s126,s127]) ).

cnf(s720,plain,
    ( spl0_19
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(rat,[],[s435,s450,s78,s79]) ).

cnf(s722,plain,
    ( spl0_46
    | ~ spl0_83
    | ~ spl0_84
    | spl0_85
    | spl0_50
    | ~ spl0_33
    | spl0_55
    | ~ spl0_20 ),
    inference(rat,[],[s495,s620,s66,s49]) ).

cnf(s726,plain,
    ( ~ spl0_14
    | ~ spl0_29 ),
    inference(rat,[],[s606,s197,s198,s199]) ).

cnf(s729,plain,
    ( spl0_26
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(rat,[],[s465,s599,s106,s107]) ).

cnf(s732,plain,
    ( spl0_7
    | ~ spl0_49
    | ~ spl0_46 ),
    inference(rat,[],[s657,s545,s157,s158,s159]) ).

cnf(s734,plain,
    ( spl0_8
    | ~ spl0_33 ),
    inference(rat,[],[s304,s149,s150,s151]) ).

cnf(s735,plain,
    ( spl0_12
    | ~ spl0_56 ),
    inference(rat,[],[s464,s93,s94,s95]) ).

cnf(s736,plain,
    ( spl0_55
    | spl0_58
    | ~ spl0_31
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s289,s81,s82,s83,s6,s735,s726,s578,s722,s101,s102,s103,s8,s720,s376,s161,s162,s163,s32,s35,s676,s45,s718,s717,s674,s89,s90,s91,s10,s7,s714,s713,s132,s711,s715]) ).

cnf(s737,plain,
    ( ~ spl0_13
    | ~ spl0_21 ),
    inference(rat,[],[s289,s81,s82,s83]) ).

cnf(s738,plain,
    ( ~ spl0_56
    | ~ spl0_5
    | spl0_58
    | ~ spl0_31
    | spl0_3
    | ~ spl0_20 ),
    inference(rat,[],[s680,s729,s66,s27,s578,s726,s6,s737,s376,s161,s162,s163,s32,s676,s45,s297,s674,s718,s89,s90,s91,s717,s10,s7,s735,s714,s711]) ).

cnf(s739,plain,
    ( ~ spl0_18
    | ~ spl0_61
    | ~ spl0_49 ),
    inference(rat,[],[s522,s495,s101,s102,s103]) ).

cnf(s740,plain,
    ( spl0_58
    | ~ spl0_31
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s695,s389,s145,s146,s147,s31,s720,s8,s739,s66,s376,s57,s161,s162,s163,s664,s58,s738,s736,s715,s132]) ).

cnf(s741,plain,
    ( spl0_5
    | ~ spl0_57
    | ~ spl0_51 ),
    inference(rat,[],[s258,s594,s97,s98,s99]) ).

cnf(s742,plain,
    ( ~ spl0_51
    | spl0_74
    | spl0_75
    | spl0_15
    | ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s726,s27,s6,s297,s737,s10,s741,s53,s729,s716,s735]) ).

cnf(s743,plain,
    ( ~ spl0_21
    | spl0_39
    | spl0_74
    | spl0_75
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(rat,[],[s709,s105,s106,s107,s27,s726,s68,s6,s297,s737]) ).

cnf(s744,plain,
    ( ~ spl0_56
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(rat,[],[s589,s97,s98,s99,s10,s743,s51,s742,s674,s89,s90,s91,s7,s735,s714,s711]) ).

cnf(s745,plain,
    ( spl0_55
    | spl0_15
    | ~ spl0_58
    | ~ spl0_31
    | spl0_3
    | ~ spl0_20 ),
    inference(rat,[],[s620,s35,s476,s530,s101,s102,s103,s8,s720,s31,s49,s579,s141,s142,s143,s52,s744]) ).

cnf(s746,plain,
    ( spl0_4
    | ~ spl0_58 ),
    inference(rat,[],[s481,s189,s190,s191]) ).

cnf(s747,plain,
    ( spl0_15
    | ~ spl0_58
    | ~ spl0_31
    | spl0_3
    | ~ spl0_20 ),
    inference(rat,[],[s647,s62,s153,s154,s155,s376,s24,s161,s162,s163,s620,s32,s35,s476,s530,s101,s102,s103,s8,s720,s31,s674,s664,s89,s90,s91,s745,s7,s711,s744,s746]) ).

cnf(s748,plain,
    ( spl0_50
    | spl0_46
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s488,s651,s62,s66,s132,s131,s130,s129]) ).

cnf(s749,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s423,s178,s179,s35,s65,s393,s651,s537,s748,s49,s579,s141,s142,s143,s52,s695,s389,s145,s146,s147,s747,s746,s744,s740,s16,s132,s131,s130,s129]) ).

cnf(s750,plain,
    ( spl0_58
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s695,s389,s145,s146,s147,s31,s720,s8,s739,s66,s57,s376,s664,s161,s162,s163,s713,s58,s744,s132]) ).

cnf(s751,plain,
    ( ~ spl0_31
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s51,s593,s259,s643,s750,s711,s132,s111,s110,s109]) ).

cnf(s752,plain,
    ( ~ spl0_17
    | spl0_15
    | spl0_55
    | ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s742,s89,s90,s7,s51]) ).

cnf(s755,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(rat,[],[s243,s117,s118,s119]) ).

cnf(s756,plain,
    ( ~ spl0_40
    | ~ spl0_54 ),
    inference(rat,[],[s357,s125,s126,s127]) ).

cnf(s757,plain,
    ( spl0_38
    | spl0_40
    | ~ spl0_49
    | ~ spl0_20 ),
    inference(rat,[],[s25,s353]) ).

cnf(s758,plain,
    ( spl0_32
    | ~ spl0_38 ),
    inference(rat,[],[s544,s177,s178,s179]) ).

cnf(s759,plain,
    ( ~ spl0_51
    | spl0_29
    | ~ spl0_46
    | spl0_17
    | ~ spl0_56
    | spl0_58
    | spl0_31
    | ~ spl0_20 ),
    inference(rat,[],[s566,s77,s78,s79,s8,s739,s64,s758,s13,s369,s321,s757,s756,s734,s56,s3,s732,s39,s755,s27,s729,s716,s139,s138,s137]) ).

cnf(s760,plain,
    ( spl0_26
    | ~ spl0_62 ),
    inference(rat,[],[s709,s105,s106,s107]) ).

cnf(s761,plain,
    ( ~ spl0_21
    | ~ spl0_46
    | spl0_17
    | ~ spl0_56
    | spl0_58
    | spl0_31
    | spl0_53
    | spl0_90
    | spl0_91
    | ~ spl0_20 ),
    inference(rat,[],[s756,s56,s757,s732,s39,s755,s27,s760,s758,s70,s64,s734,s680,s42,s759,s726,s503,s6,s555,s737,s735]) ).

cnf(s762,plain,
    ( ~ spl0_51
    | spl0_5
    | spl0_15
    | ~ spl0_20 ),
    inference(rat,[],[s53,s741,s716]) ).

cnf(s763,plain,
    ( ~ spl0_29
    | spl0_17
    | spl0_2
    | ~ spl0_20 ),
    inference(rat,[],[s432,s18,s605,s726,s139,s138,s137]) ).

cnf(s764,plain,
    ( spl0_49
    | ~ spl0_46
    | spl0_29
    | spl0_31
    | ~ spl0_20 ),
    inference(rat,[],[s68,s670,s760,s656,s27,s113,s114,s115,s755,s38,s39]) ).

cnf(s765,plain,
    ( spl0_11
    | ~ spl0_33
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(rat,[],[s666,s424,s166,s167]) ).

cnf(s766,plain,
    ( ~ spl0_46
    | spl0_29
    | spl0_17
    | ~ spl0_56
    | spl0_58
    | spl0_31
    | ~ spl0_98
    | ~ spl0_99
    | spl0_53
    | spl0_90
    | spl0_91
    | ~ spl0_20 ),
    inference(rat,[],[s583,s141,s142,s143,s5,s765,s734,s64,s758,s757,s45,s756,s56,s732,s764,s682,s169,s170,s171,s40,s761,s538,s658]) ).

cnf(s767,plain,
    ( spl0_17
    | spl0_55
    | ~ spl0_56
    | spl0_58
    | spl0_31
    | spl0_53
    | spl0_90
    | spl0_91
    | spl0_2
    | ~ spl0_20 ),
    inference(rat,[],[s684,s465,s105,s106,s107,s13,s566,s77,s78,s79,s8,s739,s65,s369,s758,s321,s57,s49,s766,s763,s137,s138,s139,s122,s121,s44]) ).

cnf(s768,plain,
    ( spl0_55
    | ~ spl0_56
    | ~ spl0_20
    | spl0_58
    | spl0_31
    | spl0_53
    | spl0_90
    | spl0_91
    | spl0_2 ),
    inference(rat,[],[s568,s13,s469,s370,s145,s146,s147,s729,s752,s51,s767]) ).

cnf(s769,plain,
    ( ~ spl0_46
    | spl0_15
    | spl0_36
    | ~ spl0_56
    | spl0_58
    | spl0_31
    | ~ spl0_98
    | ~ spl0_99
    | spl0_100
    | spl0_53
    | spl0_90
    | spl0_91
    | ~ spl0_20 ),
    inference(rat,[],[s45,s756,s674,s56,s89,s90,s91,s732,s7,s764,s766,s726,s61,s650,s658]) ).

cnf(s770,plain,
    ( spl0_16
    | ~ spl0_39 ),
    inference(rat,[],[s674,s89,s90,s91]) ).

cnf(s771,plain,
    ( spl0_43
    | ~ spl0_22 ),
    inference(rat,[],[s613,s85,s86,s87]) ).

cnf(s772,plain,
    ( spl0_15
    | spl0_36
    | ~ spl0_56
    | spl0_58
    | spl0_31
    | spl0_53
    | spl0_90
    | spl0_91
    | spl0_2
    | ~ spl0_20 ),
    inference(rat,[],[s566,s77,s78,s79,s13,s9,s369,s765,s321,s757,s756,s47,s771,s137,s138,s139,s7,s770,s245,s27,s726,s6,s737,s10,s762,s729,s42,s734,s303,s31,s57,s769,s123,s122,s121,s44,s735]) ).

cnf(s773,plain,
    ( ~ spl0_56
    | spl0_58
    | spl0_31
    | spl0_89
    | spl0_90
    | spl0_91
    | spl0_2
    | ~ spl0_20 ),
    inference(rat,[],[s734,s70,s42,s760,s729,s13,s568,s370,s695,s145,s146,s147,s772,s503,s593,s768,s361]) ).

cnf(s774,plain,
    ( spl0_35
    | ~ spl0_61 ),
    inference(rat,[],[s682,s169,s170,s171]) ).

cnf(s775,plain,
    ( spl0_58
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s760,s68,s27,s666,s290,s521,s165,s166,s167,s60,s774,s726,s61,s488,s651,s66,s503,s57,s376,s593,s664,s161,s162,s163,s713,s58,s773,s132,s131,s130,s129,s111,s110,s109,s751,s749]) ).

cnf(s776,plain,
    ( ~ spl0_164
    | ~ spl0_4
    | ~ spl0_98
    | ~ spl0_99
    | spl0_100
    | ~ spl0_20 ),
    inference(rat,[],[s62,s650,s538]) ).

cnf(s777,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s651,s65,s537,s758,s748,s49,s658,s776,s593,s643,s746,s775,s121,s122,s123,s44,s361,s109,s110,s111,s749,s132,s131,s130,s129]) ).

cnf(s778,plain,
    ( spl0_10
    | ~ spl0_46 ),
    inference(rat,[],[s583,s141,s142,s143]) ).

cnf(s779,plain,
    ( ~ spl0_47
    | spl0_58
    | ~ spl0_56
    | ~ spl0_46
    | spl0_1 ),
    inference(rat,[],[s521,s666,s165,s166,s167,s60,s774,s64,s758,s757,s45,s756,s56,s732,s764,s726,s488,s59,s393,s422,s676,s131,s130,s129,s511,s185,s186,s187,s777,s734,s54,s705,s466,s597,s133,s134,s135,s15,s744,s778,s132]) ).

cnf(s780,plain,
    ( ~ spl0_22
    | spl0_21
    | spl0_8
    | ~ spl0_20 ),
    inference(rat,[],[s29,s280,s771,s151,s150]) ).

cnf(s781,plain,
    ( spl0_21
    | spl0_58
    | ~ spl0_56
    | ~ spl0_46
    | spl0_1 ),
    inference(rat,[],[s40,s537,s774,s651,s64,s758,s757,s756,s56,s732,s764,s726,s59,s780,s131,s130,s129,s511,s185,s186,s187,s777,s734,s54,s705,s466,s597,s133,s134,s135,s15,s744,s778,s132]) ).

cnf(s782,plain,
    ( ~ spl0_15
    | ~ spl0_26
    | ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s13,s568,s370,s469,s145,s146,s147]) ).

cnf(s783,plain,
    ( spl0_58
    | ~ spl0_56
    | ~ spl0_46
    | spl0_1 ),
    inference(rat,[],[s7,s782,s761,s781,s760,s70,s361,s770,s109,s110,s111,s34,s35,s779,s734,s54,s705,s466,s597,s133,s134,s135,s15,s744,s778,s132]) ).

cnf(s784,plain,
    ( ~ spl0_180
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s62,s488,s537,s132,s131,s130,s129]) ).

cnf(s785,plain,
    ( spl0_35
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(rat,[],[s278,s479,s169,s170,s171]) ).

cnf(s786,plain,
    ( ~ spl0_56
    | ~ spl0_46
    | spl0_1 ),
    inference(rat,[],[s502,s181,s182,s183,s22,s20,s785,s27,s726,s59,s780,s760,s555,s70,s643,s361,s109,s110,s111,s758,s35,s64,s393,s651,s784,s746,s783,s734,s54,s705,s466,s597,s133,s134,s135,s15,s744,s132,s131,s130,s129,s511,s185,s186,s187,s777,s778]) ).

cnf(s787,plain,
    ( ~ spl0_46
    | spl0_1 ),
    inference(rat,[],[s52,s664,s786,s778,s132]) ).

cnf(s788,plain,
    ( spl0_55
    | ~ spl0_56
    | spl0_1 ),
    inference(rat,[],[s782,s53,s729,s716,s597,s680,s133,s134,s135,s40,s48,s537,s774,s651,s65,s758,s49,s132,s131,s130,s129,s787]) ).

cnf(s789,plain,
    ( ~ spl0_172
    | ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s54,s704,s595,s132,s187,s186,s185,s777]) ).

cnf(s790,plain,
    ( ~ spl0_22
    | ~ spl0_49
    | spl0_1 ),
    inference(rat,[],[s60,s488,s774,s651,s65,s765,s758,s757,s45,s756,s47,s698,s789,s734,s303,s771,s132,s131,s130,s129,s187,s186,s777,s787]) ).

cnf(s791,plain,
    ( ~ spl0_15
    | ~ spl0_56
    | spl0_1 ),
    inference(rat,[],[s393,s537,s36,s66,s241,s684,s465,s568,s105,s106,s107,s695,s782,s146,s147,s132,s130,s129,s787,s788]) ).

cnf(s792,plain,
    ( ~ spl0_22
    | spl0_1 ),
    inference(rat,[],[s643,s555,s109,s110,s111,s35,s780,s734,s393,s789,s784,s480,s746,s57,s790,s132,s130,s129,s186,s185,s777,s787]) ).

cnf(s793,plain,
    ( spl0_58
    | spl0_1 ),
    inference(rat,[],[s68,s666,s290,s521,s165,s166,s167,s60,s488,s760,s774,s651,s13,s66,s568,s376,s695,s161,s162,s163,s57,s713,s58,s131,s130,s129,s791,s370,s146,s145,s147,s31,s792,s132,s787]) ).

cnf(s794,plain,
    spl0_1,
    inference(rat,[],[s593,s643,s49,s109,s110,s111,s758,s35,s65,s734,s393,s651,s789,s784,s480,s746,s793,s787,s185,s186,s777,s129,s130,s131,s132]) ).

cnf(s795,plain,
    ( ~ spl0_3
    | ~ spl0_53 ),
    inference(rat,[],[s361,s109,s110,s111]) ).

cnf(s797,plain,
    ( spl0_26
    | ~ spl0_49
    | ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s521,s666,s165,s166,s167,s68,s28,s241,s465,s760,s105,s106,s107,s744]) ).

cnf(s798,plain,
    ( ~ spl0_56
    | ~ spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s502,s181,s182,s183,s22,s20,s785,s27,s797,s764,s726,s59,s511,s422,s676,s185,s186,s187,s35,s16,s795,s758,s17,s46,s734,s54,s705,s466,s597,s133,s134,s135,s15,s744,s778,s794]) ).

cnf(s799,plain,
    ( ~ spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s52,s664,s798,s778]) ).

cnf(s800,plain,
    ( ~ spl0_53
    | ~ spl0_8
    | spl0_31
    | ~ spl0_20 ),
    inference(rat,[],[s54,s704,s595,s698,s185,s186,s187,s16,s795]) ).

cnf(s801,plain,
    ( spl0_58
    | ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s647,s60,s153,s154,s155,s774,s55,s65,s765,s758,s757,s45,s756,s47,s800,s734,s303,s771,s31,s782,s797,s57,s799,s744]) ).

cnf(s802,plain,
    ( ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s705,s54,s466,s597,s133,s134,s135,s48,s734,s774,s17,s65,s758,s49,s589,s97,s98,s99,s2,s746,s801,s799,s794]) ).

cnf(s804,plain,
    ( ~ spl0_22
    | ~ spl0_33
    | spl0_58
    | ~ spl0_20 ),
    inference(rat,[],[s60,s647,s765,s153,s154,s155,s757,s14,s756,s331,s47,s614,s771,s41,s800,s450,s552,s77,s78,s79,s8,s739,s545,s158,s159,s3,s734,s716,s680,s40,s774,s66,s376,s161,s162,s163,s58,s802,s57,s799,s794]) ).

cnf(s805,plain,
    ( ~ spl0_33
    | spl0_58
    | ~ spl0_20 ),
    inference(rat,[],[s633,s424,s165,s167,s60,s646,s617,s353,s19,s370,s145,s146,s147,s31,s804,s734,s57,s41,s774,s66,s376,s161,s162,s163,s58,s802,s799,s794]) ).

cnf(s806,plain,
    ( spl0_58
    | ~ spl0_20 ),
    inference(rat,[],[s35,s676,s795,s46,s805,s794]) ).

cnf(s808,plain,
    ( ~ spl0_2
    | ~ spl0_20 ),
    inference(rat,[],[s704,s480,s185,s186,s187,s54,s597,s133,s134,s135,s48,s774,s65,s734,s17,s758,s49,s589,s97,s98,s99,s2,s746,s806,s799,s794]) ).

cnf(s809,plain,
    ~ spl0_20,
    inference(rat,[],[s251,s153,s154,s14,s763,s40,s51,s555,s259,s643,s109,s110,s111,s1,s808,s54,s597,s133,s134,s135,s48,s734,s774,s17,s65,s758,s49,s589,s97,s98,s99,s2,s746,s806,s799,s794]) ).

cnf(s810,plain,
    ~ spl0_14,
    inference(rat,[],[s200,s809]) ).

cnf(s835,plain,
    spl0_12,
    inference(rat,[],[s96,s809]) ).

cnf(s838,plain,
    ~ spl0_13,
    inference(rat,[],[s84,s809]) ).

cnf(s840,plain,
    $false,
    inference(rat,[],[s6,s838,s835,s810]) ).

fof(f3223,plain,
    $false,
    inference(avatar_sat_refutation,[],[s840]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN479+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n003.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 16:16:30 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24  Running first-order model finding
% 0.08/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34  % (1727591)Will run a generic schedule for satisfiability detection.
% 0.20/0.34  % (1727598)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3151911360:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.34  % (1727597)% WARNING: option uhcvi not known.
% 0.20/0.34  % (1727596)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=474524832_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.34  % (1727597)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3603808359:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.34  % (1727601)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1179772030:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34  % (1727599)dis+10_1_sil=32000:sp=arity:random_seed=1754314687:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.34  % (1727600)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2362498364:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.34  % (1727602)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1534472302:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.34  % Detected minimum model sizes of [1]
% 0.20/0.34  % Detected maximum model sizes of [31]
% 0.20/0.34  % TRYING [1]
% 0.20/0.34  % TRYING [2]
% 0.20/0.34  % TRYING [3]
% 0.20/0.34  % TRYING [4]
% 0.20/0.34  % (1727602) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1727591-1727602"...
% 0.20/0.34  % (1727597) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1727591-1727597"...
% 0.20/0.34  % (1727602)...printing done.
% 0.20/0.34  % (1727602)Refutation found. Thanks to Tanya!
% 0.20/0.34  % SZS status Theorem for theBenchmark
% 0.20/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.35  % (1727602)------------------------------
% 0.20/0.35  % (1727602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35  % (1727602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35  % (1727602)CaDiCaL version: 2.1.3
% 0.20/0.35  % (1727602)Termination reason: Refutation
% 0.20/0.35  % (1727602)Time elapsed: 0.048 s
% 0.20/0.35  % (1727602)Peak memory usage: 13 MB
% 0.20/0.35  % (1727602)Instructions burned: 83 (million)
% 0.20/0.35  % (1727591)Success in time 0.091 s
% 0.20/0.35  % Vampire exiting
%------------------------------------------------------------------------------