↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN501+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:58:44 PM UTC 2026

% Result   : Theorem 1.78s 0.69s
% Output   : Refutation 2.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :  124
% Syntax   : Number of formulae    :  844 (  26 unt; 123 def)
%            Number of atoms       : 6506 (   0 equ)
%            Maximal formula atoms :  750 (   7 avg)
%            Number of connectives : 8701 (3039   ~;4181   |; 995   &)
%                                         ( 123 <=>; 363  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  159 ( 158 usr; 155 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  772 (   0 sgn 772   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a97)
          & ~ c2_1(a97)
          & ~ c3_1(a97) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a98)
          & ~ c1_1(a98)
          & ~ c3_1(a98) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a99)
          & ~ c0_1(a99)
          & ~ c1_1(a99) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a100)
          & c3_1(a100)
          & ~ c1_1(a100) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a103)
          & c2_1(a103)
          & ~ c3_1(a103) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a104)
          & ~ c0_1(a104)
          & ~ c3_1(a104) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a105)
          & c2_1(a105)
          & ~ c3_1(a105) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a106)
          & c3_1(a106)
          & ~ c0_1(a106) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a107)
          & ~ c0_1(a107)
          & ~ c2_1(a107) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a108)
          & c2_1(a108)
          & ~ c0_1(a108) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a110)
          & ~ c2_1(a110)
          & ~ c3_1(a110) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a112)
          & ~ c0_1(a112)
          & ~ c1_1(a112) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a113)
          & c1_1(a113)
          & ~ c2_1(a113) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a116)
          & c1_1(a116)
          & ~ c3_1(a116) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a120)
          & ~ c1_1(a120)
          & ~ c2_1(a120) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a121)
          & ~ c2_1(a121)
          & ~ c3_1(a121) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a122)
          & ~ c1_1(a122)
          & ~ c2_1(a122) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a124)
          & ~ c1_1(a124)
          & ~ c3_1(a124) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a129)
          & c2_1(a129)
          & ~ c1_1(a129) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a130)
          & c3_1(a130)
          & ~ c2_1(a130) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c1_1(a132)
          & ~ c2_1(a132)
          & ~ c3_1(a132) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a136)
          & ~ c1_1(a136)
          & ~ c2_1(a136) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a138)
          & c3_1(a138)
          & ~ c2_1(a138) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a145)
          & c3_1(a145)
          & ~ c0_1(a145) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a147)
          & ~ c1_1(a147)
          & ~ c3_1(a147) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a173)
          & ~ c0_1(a173)
          & ~ c3_1(a173) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a195)
          & c3_1(a195)
          & ~ c1_1(a195) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a101)
          & c1_1(a101)
          & c3_1(a101) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a137)
          & c1_1(a137)
          & c2_1(a137) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a166)
          & c2_1(a166)
          & c3_1(a166) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c3_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp1
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c3_1(X8)
              | ~ c1_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | ~ c0_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c3_1(X13)
              | ~ c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c2_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | ~ c1_1(X16)
              | ~ c2_1(X16) ) )
        | hskp3 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp27 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c3_1(X20)
              | ~ c2_1(X20) ) )
        | hskp1 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp4
        | hskp5 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | hskp6
        | hskp7 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c2_1(X24)
              | ~ c3_1(X24) ) )
        | hskp8 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | hskp9
        | hskp6 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c0_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c2_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c0_1(X31)
              | ~ c1_1(X31) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) )
        | hskp10 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp5
        | hskp11 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c1_1(X36)
              | ~ c2_1(X36) ) )
        | hskp12 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) )
        | hskp10 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | ~ c0_1(X43)
              | ~ c3_1(X43) ) )
        | hskp10 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp13
        | hskp5 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c0_1(X49)
              | ~ c1_1(X49) ) )
        | hskp11 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | hskp1
        | hskp14 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | ~ c3_1(X52) ) )
        | hskp15 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c0_1(X57)
              | ~ c2_1(X57) ) )
        | hskp16 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c3_1(X59)
              | ~ c0_1(X59) ) )
        | hskp0 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | c3_1(X61) ) )
        | hskp17 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp1 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp9
        | hskp17 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c1_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c1_1(X67)
              | ~ c2_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | ~ c2_1(X69) ) )
        | hskp15 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | hskp18
        | hskp19 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | hskp4 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c2_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c3_1(X77) ) )
        | hskp20 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c0_1(X78) ) )
        | hskp6
        | hskp20 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c0_1(X79) ) )
        | hskp2
        | hskp21 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | hskp28 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp22
        | hskp6 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c1_1(X85)
              | ~ c3_1(X85) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c1_1(X87)
              | ~ c3_1(X87) ) )
        | hskp18 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c3_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c2_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c2_1(X90)
              | ~ c3_1(X90) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c2_1(X91) ) )
        | hskp22
        | hskp21 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c2_1(X92) ) )
        | hskp1
        | hskp19 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | ~ c2_1(X93) ) )
        | hskp23
        | hskp17 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c2_1(X95)
              | ~ c3_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c2_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp24 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c2_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp1 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c0_1(X101)
              | ~ c2_1(X101) ) )
        | hskp4
        | hskp7 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp19 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp3
        | hskp17 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | hskp18
        | hskp11 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp16
        | hskp2 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp7
        | hskp20 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c3_1(X108) ) )
        | hskp4
        | hskp7 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c0_1(X110)
              | ~ c2_1(X110) ) )
        | hskp11 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp2 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c3_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | hskp27
        | hskp19 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | hskp29
        | hskp0 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c1_1(X115) ) )
        | hskp18
        | hskp8 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c0_1(X116)
              | ~ c1_1(X116) ) )
        | hskp0 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c1_1(X117) ) )
        | hskp6 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c2_1(X118) ) )
        | hskp16
        | hskp25 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c1_1(X119)
              | ~ c2_1(X119) ) )
        | hskp27
        | hskp29 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c2_1(X120)
              | ~ c3_1(X120) ) )
        | hskp1
        | hskp9 )
      & ( hskp28
        | hskp4
        | hskp22 )
      & ( hskp27
        | hskp9
        | hskp2 )
      & ( hskp12
        | hskp13 )
      & ( hskp13
        | hskp18
        | hskp8 )
      & ( hskp18
        | hskp4
        | hskp20 )
      & ( hskp18
        | hskp19
        | hskp17 )
      & ( hskp26
        | hskp25
        | hskp5 )
      & ( hskp22
        | hskp0
        | hskp11 )
      & ( hskp22
        | hskp8
        | hskp15 )
      & ( hskp16
        | hskp6
        | hskp15 )
      & ( hskp16
        | hskp10
        | hskp8 )
      & ( hskp19
        | hskp8
        | hskp15 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a97)
            & ~ c2_1(a97)
            & ~ c3_1(a97) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a98)
            & ~ c1_1(a98)
            & ~ c3_1(a98) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a99)
            & ~ c0_1(a99)
            & ~ c1_1(a99) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a100)
            & c3_1(a100)
            & ~ c1_1(a100) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a103)
            & c2_1(a103)
            & ~ c3_1(a103) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a104)
            & ~ c0_1(a104)
            & ~ c3_1(a104) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a105)
            & c2_1(a105)
            & ~ c3_1(a105) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a106)
            & c3_1(a106)
            & ~ c0_1(a106) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a107)
            & ~ c0_1(a107)
            & ~ c2_1(a107) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a108)
            & c2_1(a108)
            & ~ c0_1(a108) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a110)
            & ~ c2_1(a110)
            & ~ c3_1(a110) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a112)
            & ~ c0_1(a112)
            & ~ c1_1(a112) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a113)
            & c1_1(a113)
            & ~ c2_1(a113) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a116)
            & c1_1(a116)
            & ~ c3_1(a116) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a120)
            & ~ c1_1(a120)
            & ~ c2_1(a120) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a121)
            & ~ c2_1(a121)
            & ~ c3_1(a121) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a122)
            & ~ c1_1(a122)
            & ~ c2_1(a122) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a124)
            & ~ c1_1(a124)
            & ~ c3_1(a124) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a129)
            & c2_1(a129)
            & ~ c1_1(a129) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a130)
            & c3_1(a130)
            & ~ c2_1(a130) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c1_1(a132)
            & ~ c2_1(a132)
            & ~ c3_1(a132) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a136)
            & ~ c1_1(a136)
            & ~ c2_1(a136) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a138)
            & c3_1(a138)
            & ~ c2_1(a138) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a145)
            & c3_1(a145)
            & ~ c0_1(a145) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a147)
            & ~ c1_1(a147)
            & ~ c3_1(a147) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a173)
            & ~ c0_1(a173)
            & ~ c3_1(a173) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a195)
            & c3_1(a195)
            & ~ c1_1(a195) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a101)
            & c1_1(a101)
            & c3_1(a101) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a137)
            & c1_1(a137)
            & c2_1(a137) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a166)
            & c2_1(a166)
            & c3_1(a166) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c3_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp1
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c3_1(X8)
                | ~ c1_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c0_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c1_1(X16)
                | ~ c2_1(X16) ) )
          | hskp3 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp27 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c3_1(X20)
                | ~ c2_1(X20) ) )
          | hskp1 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp4
          | hskp5 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp6
          | hskp7 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) )
          | hskp8 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp9
          | hskp6 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c0_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c2_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c0_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) )
          | hskp10 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp5
          | hskp11 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | hskp12 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | hskp10 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c0_1(X43)
                | ~ c3_1(X43) ) )
          | hskp10 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp13
          | hskp5 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | hskp11 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | hskp1
          | hskp14 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c3_1(X52) ) )
          | hskp15 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | hskp16 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c3_1(X59)
                | ~ c0_1(X59) ) )
          | hskp0 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | hskp17 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp1 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp9
          | hskp17 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c2_1(X69) ) )
          | hskp15 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp18
          | hskp19 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | hskp4 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c2_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c3_1(X77) ) )
          | hskp20 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c0_1(X78) ) )
          | hskp6
          | hskp20 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c0_1(X79) ) )
          | hskp2
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp28 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp22
          | hskp6 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c1_1(X85)
                | ~ c3_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c1_1(X87)
                | ~ c3_1(X87) ) )
          | hskp18 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c3_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c2_1(X91) ) )
          | hskp22
          | hskp21 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c2_1(X92) ) )
          | hskp1
          | hskp19 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | ~ c2_1(X93) ) )
          | hskp23
          | hskp17 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c2_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp24 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp1 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c0_1(X101)
                | ~ c2_1(X101) ) )
          | hskp4
          | hskp7 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp19 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp3
          | hskp17 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp18
          | hskp11 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp16
          | hskp2 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp7
          | hskp20 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c3_1(X108) ) )
          | hskp4
          | hskp7 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) )
          | hskp11 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp2 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | hskp27
          | hskp19 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | hskp29
          | hskp0 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c1_1(X115) ) )
          | hskp18
          | hskp8 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c0_1(X116)
                | ~ c1_1(X116) ) )
          | hskp0 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c1_1(X117) ) )
          | hskp6 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c2_1(X118) ) )
          | hskp16
          | hskp25 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c2_1(X119) ) )
          | hskp27
          | hskp29 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c2_1(X120)
                | ~ c3_1(X120) ) )
          | hskp1
          | hskp9 )
        & ( hskp28
          | hskp4
          | hskp22 )
        & ( hskp27
          | hskp9
          | hskp2 )
        & ( hskp12
          | hskp13 )
        & ( hskp13
          | hskp18
          | hskp8 )
        & ( hskp18
          | hskp4
          | hskp20 )
        & ( hskp18
          | hskp19
          | hskp17 )
        & ( hskp26
          | hskp25
          | hskp5 )
        & ( hskp22
          | hskp0
          | hskp11 )
        & ( hskp22
          | hskp8
          | hskp15 )
        & ( hskp16
          | hskp6
          | hskp15 )
        & ( hskp16
          | hskp10
          | hskp8 )
        & ( hskp19
          | hskp8
          | hskp15 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a97)
        & ~ c2_1(a97)
        & ~ c3_1(a97) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a98)
        & ~ c1_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a99)
        & ~ c0_1(a99)
        & ~ c1_1(a99) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a100)
        & c3_1(a100)
        & ~ c1_1(a100) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a103)
        & c2_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a105)
        & c2_1(a105)
        & ~ c3_1(a105) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a106)
        & c3_1(a106)
        & ~ c0_1(a106) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a107)
        & ~ c0_1(a107)
        & ~ c2_1(a107) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a108)
        & c2_1(a108)
        & ~ c0_1(a108) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a110)
        & ~ c2_1(a110)
        & ~ c3_1(a110) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a112)
        & ~ c0_1(a112)
        & ~ c1_1(a112) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a113)
        & c1_1(a113)
        & ~ c2_1(a113) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a116)
        & c1_1(a116)
        & ~ c3_1(a116) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a120)
        & ~ c1_1(a120)
        & ~ c2_1(a120) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a121)
        & ~ c2_1(a121)
        & ~ c3_1(a121) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a122)
        & ~ c1_1(a122)
        & ~ c2_1(a122) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a129)
        & c2_1(a129)
        & ~ c1_1(a129) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a130)
        & c3_1(a130)
        & ~ c2_1(a130) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a132)
        & ~ c2_1(a132)
        & ~ c3_1(a132) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a136)
        & ~ c1_1(a136)
        & ~ c2_1(a136) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a138)
        & c3_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a145)
        & c3_1(a145)
        & ~ c0_1(a145) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a173)
        & ~ c0_1(a173)
        & ~ c3_1(a173) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a195)
        & c3_1(a195)
        & ~ c1_1(a195) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a101)
        & c1_1(a101)
        & c3_1(a101) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a137)
        & c1_1(a137)
        & c2_1(a137) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a166)
        & c2_1(a166)
        & c3_1(a166) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c3_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c3_1(X8)
            | ~ c1_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | ~ c0_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c0_1(X11)
            | ~ c1_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c3_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c2_1(X14)
            | ~ c3_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c1_1(X16)
            | ~ c2_1(X16) ) )
      | hskp3 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp27 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c3_1(X20)
            | ~ c2_1(X20) ) )
      | hskp1 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c2_1(X21) ) )
      | hskp4
      | hskp5 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c2_1(X22) ) )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c2_1(X24)
            | ~ c3_1(X24) ) )
      | hskp8 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c3_1(X25) ) )
      | hskp9
      | hskp6 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | ~ c0_1(X28)
            | ~ c3_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | ~ c2_1(X30)
            | ~ c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | ~ c0_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) )
      | hskp10 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | hskp5
      | hskp11 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c2_1(X36) ) )
      | hskp12 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) )
      | hskp10 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | ~ c0_1(X43)
            | ~ c3_1(X43) ) )
      | hskp10 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp13
      | hskp5 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c0_1(X49)
            | ~ c1_1(X49) ) )
      | hskp11 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c2_1(X50) ) )
      | hskp1
      | hskp14 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c2_1(X52)
            | ~ c3_1(X52) ) )
      | hskp15 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c0_1(X54)
            | ~ c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | ~ c0_1(X57)
            | ~ c2_1(X57) ) )
      | hskp16 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c3_1(X59)
            | ~ c0_1(X59) ) )
      | hskp0 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | c3_1(X61) ) )
      | hskp17 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp1 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp9
      | hskp17 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c1_1(X67)
            | ~ c2_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c2_1(X69) ) )
      | hskp15 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | hskp18
      | hskp19 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c3_1(X72)
            | ~ c2_1(X72) ) )
      | hskp4 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c0_1(X74)
            | ~ c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c2_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c3_1(X77) ) )
      | hskp20 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c0_1(X78) ) )
      | hskp6
      | hskp20 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | ~ c0_1(X79) ) )
      | hskp2
      | hskp21 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c1_1(X81) ) )
      | hskp28 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp22
      | hskp6 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c3_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c1_1(X85)
            | ~ c3_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c1_1(X87)
            | ~ c3_1(X87) ) )
      | hskp18 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c3_1(X88)
            | ~ c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c0_1(X89)
            | ~ c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c2_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c3_1(X91)
            | ~ c2_1(X91) ) )
      | hskp22
      | hskp21 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c3_1(X92)
            | ~ c2_1(X92) ) )
      | hskp1
      | hskp19 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c3_1(X93)
            | ~ c2_1(X93) ) )
      | hskp23
      | hskp17 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c2_1(X95)
            | ~ c3_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c0_1(X97)
            | ~ c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp24 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c0_1(X99)
            | ~ c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp1 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c0_1(X101)
            | ~ c2_1(X101) ) )
      | hskp4
      | hskp7 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c0_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp19 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp3
      | hskp17 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c3_1(X105)
            | ~ c0_1(X105) ) )
      | hskp18
      | hskp11 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c0_1(X106) ) )
      | hskp16
      | hskp2 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c0_1(X107)
            | ~ c1_1(X107) ) )
      | hskp7
      | hskp20 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c0_1(X108)
            | ~ c3_1(X108) ) )
      | hskp4
      | hskp7 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c1_1(X109)
            | ~ c3_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c0_1(X110)
            | ~ c2_1(X110) ) )
      | hskp11 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c1_1(X111)
            | ~ c3_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c2_1(X112) ) )
      | hskp2 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | hskp27
      | hskp19 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c1_1(X114) ) )
      | hskp29
      | hskp0 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c1_1(X115) ) )
      | hskp18
      | hskp8 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c0_1(X116)
            | ~ c1_1(X116) ) )
      | hskp0 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c1_1(X117) ) )
      | hskp6 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c0_1(X118)
            | ~ c2_1(X118) ) )
      | hskp16
      | hskp25 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c1_1(X119)
            | ~ c2_1(X119) ) )
      | hskp27
      | hskp29 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c0_1(X120)
            | ~ c2_1(X120)
            | ~ c3_1(X120) ) )
      | hskp1
      | hskp9 )
    & ( hskp28
      | hskp4
      | hskp22 )
    & ( hskp27
      | hskp9
      | hskp2 )
    & ( hskp12
      | hskp13 )
    & ( hskp13
      | hskp18
      | hskp8 )
    & ( hskp18
      | hskp4
      | hskp20 )
    & ( hskp18
      | hskp19
      | hskp17 )
    & ( hskp26
      | hskp25
      | hskp5 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp22
      | hskp8
      | hskp15 )
    & ( hskp16
      | hskp6
      | hskp15 )
    & ( hskp16
      | hskp10
      | hskp8 )
    & ( hskp19
      | hskp8
      | hskp15 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a97)
        & ~ c2_1(a97)
        & ~ c3_1(a97) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a98)
        & ~ c1_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a99)
        & ~ c0_1(a99)
        & ~ c1_1(a99) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a100)
        & c3_1(a100)
        & ~ c1_1(a100) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a103)
        & c2_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a105)
        & c2_1(a105)
        & ~ c3_1(a105) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a106)
        & c3_1(a106)
        & ~ c0_1(a106) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a107)
        & ~ c0_1(a107)
        & ~ c2_1(a107) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a108)
        & c2_1(a108)
        & ~ c0_1(a108) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a110)
        & ~ c2_1(a110)
        & ~ c3_1(a110) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a112)
        & ~ c0_1(a112)
        & ~ c1_1(a112) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a113)
        & c1_1(a113)
        & ~ c2_1(a113) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a116)
        & c1_1(a116)
        & ~ c3_1(a116) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a120)
        & ~ c1_1(a120)
        & ~ c2_1(a120) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a121)
        & ~ c2_1(a121)
        & ~ c3_1(a121) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a122)
        & ~ c1_1(a122)
        & ~ c2_1(a122) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a129)
        & c2_1(a129)
        & ~ c1_1(a129) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a130)
        & c3_1(a130)
        & ~ c2_1(a130) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a132)
        & ~ c2_1(a132)
        & ~ c3_1(a132) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a136)
        & ~ c1_1(a136)
        & ~ c2_1(a136) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a138)
        & c3_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a145)
        & c3_1(a145)
        & ~ c0_1(a145) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a173)
        & ~ c0_1(a173)
        & ~ c3_1(a173) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a195)
        & c3_1(a195)
        & ~ c1_1(a195) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a101)
        & c1_1(a101)
        & c3_1(a101) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a137)
        & c1_1(a137)
        & c2_1(a137) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a166)
        & c2_1(a166)
        & c3_1(a166) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c0_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp9
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c0_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp5
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp13
      | hskp5 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp1
      | hskp14 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c3_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp9
      | hskp17 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp6
      | hskp20 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp2
      | hskp21 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp22
      | hskp6 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp22
      | hskp21 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp19 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp23
      | hskp17 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp18
      | hskp11 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp16
      | hskp2 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp18
      | hskp8 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp16
      | hskp25 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp27
      | hskp29 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( hskp28
      | hskp4
      | hskp22 )
    & ( hskp27
      | hskp9
      | hskp2 )
    & ( hskp12
      | hskp13 )
    & ( hskp13
      | hskp18
      | hskp8 )
    & ( hskp18
      | hskp4
      | hskp20 )
    & ( hskp18
      | hskp19
      | hskp17 )
    & ( hskp26
      | hskp25
      | hskp5 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp22
      | hskp8
      | hskp15 )
    & ( hskp16
      | hskp6
      | hskp15 )
    & ( hskp16
      | hskp10
      | hskp8 )
    & ( hskp19
      | hskp8
      | hskp15 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a97)
        & ~ c2_1(a97)
        & ~ c3_1(a97) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a98)
        & ~ c1_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a99)
        & ~ c0_1(a99)
        & ~ c1_1(a99) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a100)
        & c3_1(a100)
        & ~ c1_1(a100) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a103)
        & c2_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a104)
        & ~ c0_1(a104)
        & ~ c3_1(a104) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a105)
        & c2_1(a105)
        & ~ c3_1(a105) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a106)
        & c3_1(a106)
        & ~ c0_1(a106) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a107)
        & ~ c0_1(a107)
        & ~ c2_1(a107) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a108)
        & c2_1(a108)
        & ~ c0_1(a108) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a110)
        & ~ c2_1(a110)
        & ~ c3_1(a110) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a112)
        & ~ c0_1(a112)
        & ~ c1_1(a112) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a113)
        & c1_1(a113)
        & ~ c2_1(a113) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a116)
        & c1_1(a116)
        & ~ c3_1(a116) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a120)
        & ~ c1_1(a120)
        & ~ c2_1(a120) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a121)
        & ~ c2_1(a121)
        & ~ c3_1(a121) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a122)
        & ~ c1_1(a122)
        & ~ c2_1(a122) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a129)
        & c2_1(a129)
        & ~ c1_1(a129) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a130)
        & c3_1(a130)
        & ~ c2_1(a130) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a132)
        & ~ c2_1(a132)
        & ~ c3_1(a132) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a136)
        & ~ c1_1(a136)
        & ~ c2_1(a136) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a138)
        & c3_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a145)
        & c3_1(a145)
        & ~ c0_1(a145) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a173)
        & ~ c0_1(a173)
        & ~ c3_1(a173) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a195)
        & c3_1(a195)
        & ~ c1_1(a195) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a101)
        & c1_1(a101)
        & c3_1(a101) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a137)
        & c1_1(a137)
        & c2_1(a137) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a166)
        & c2_1(a166)
        & c3_1(a166) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c0_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp9
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c0_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp5
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp13
      | hskp5 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp1
      | hskp14 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c3_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp9
      | hskp17 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp6
      | hskp20 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp2
      | hskp21 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp22
      | hskp6 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp22
      | hskp21 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp19 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp23
      | hskp17 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp18
      | hskp11 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp16
      | hskp2 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp4
      | hskp7 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp18
      | hskp8 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp16
      | hskp25 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp27
      | hskp29 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( hskp28
      | hskp4
      | hskp22 )
    & ( hskp27
      | hskp9
      | hskp2 )
    & ( hskp12
      | hskp13 )
    & ( hskp13
      | hskp18
      | hskp8 )
    & ( hskp18
      | hskp4
      | hskp20 )
    & ( hskp18
      | hskp19
      | hskp17 )
    & ( hskp26
      | hskp25
      | hskp5 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp22
      | hskp8
      | hskp15 )
    & ( hskp16
      | hskp6
      | hskp15 )
    & ( hskp16
      | hskp10
      | hskp8 )
    & ( hskp19
      | hskp8
      | hskp15 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp19
    | hskp8
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp16
    | hskp6
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp22
    | hskp8
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp18
    | hskp19
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp18
    | hskp4
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp13
    | hskp18
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp12
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ( hskp28
    | hskp4
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X118] :
      ( c3_1(X118)
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | hskp16
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X117] :
      ( c3_1(X117)
      | ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X116] :
      ( c3_1(X116)
      | ~ c0_1(X116)
      | ~ c1_1(X116)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X115] :
      ( c3_1(X115)
      | ~ c0_1(X115)
      | ~ c1_1(X115)
      | ~ ndr1_0
      | hskp18
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X113] :
      ( c3_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X109,X110] :
      ( c2_1(X109)
      | ~ c1_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | ~ c0_1(X110)
      | ~ c2_1(X110)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X108] :
      ( c2_1(X108)
      | ~ c0_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp4
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X107] :
      ( c2_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X101] :
      ( c1_1(X101)
      | ~ c0_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | hskp4
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X98,X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ ndr1_0
      | c2_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X96,X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | c1_1(X95)
      | ~ c2_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | ~ c0_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X92] :
      ( c1_1(X92)
      | c3_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | hskp1
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X91] :
      ( c1_1(X91)
      | c3_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp22
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c3_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c1_1(X89)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X83,X84,X85] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | c2_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | c1_1(X77)
      | ~ c0_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X70] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X65,X66,X67] :
      ( c1_1(X65)
      | c2_1(X65)
      | c3_1(X65)
      | ~ ndr1_0
      | c2_1(X66)
      | c3_1(X66)
      | ~ c1_1(X66)
      | ~ ndr1_0
      | c3_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ c1_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X47] :
      ( c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp13
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,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
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X31,X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c2_1(X31)
      | ~ c0_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X28,X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c0_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c2_1(a137) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c1_1(a137) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c0_1(a137) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c3_1(a101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c1_1(a101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | ~ c0_1(a173) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c1_1(a173) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c3_1(a147) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | ~ c1_1(a147) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c2_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | c3_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c2_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | ~ c1_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c3_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | c3_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | c1_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | c2_1(a129) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c0_1(a129) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | c2_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c2_1(a122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | c0_1(a122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | ~ c2_1(a121) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | ~ c0_1(a121) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f150,plain,
    ( ~ hskp13
    | ~ c3_1(a116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | c1_1(a116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c0_1(a116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | c1_1(a113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c0_1(a113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c3_1(a112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c3_1(a110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | ~ c2_1(a110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c1_1(a110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c3_1(a107) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | c3_1(a106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c2_1(a106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp6
    | ~ c3_1(a105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp6
    | c2_1(a105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp6
    | c1_1(a105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c3_1(a104) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c2_1(a104) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | c2_1(a103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | c0_1(a103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c0_1(a98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c0_1(a97) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ! [X109,X110] :
      ( c2_1(X109)
      | ~ c1_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | ~ c0_1(X110)
      | ~ c2_1(X110)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f209,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f210,plain,
    ! [X98,X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ ndr1_0
      | c2_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f211,plain,
    ! [X96,X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | c1_1(X95)
      | ~ c2_1(X95)
      | ~ c3_1(X95)
      | ~ c0_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f212,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c3_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c1_1(X89)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ~ c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f213,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ c3_1(X87)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f214,plain,
    ! [X83,X84,X85] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | c2_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f215,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f216,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | c1_1(X77)
      | ~ c0_1(X77)
      | ~ c3_1(X77)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f218,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f219,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c2_1(X69)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f220,plain,
    ! [X65,X66,X67] :
      ( c1_1(X65)
      | c2_1(X65)
      | c3_1(X65)
      | ~ ndr1_0
      | c2_1(X66)
      | c3_1(X66)
      | ~ c1_1(X66)
      | c3_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67) ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f224,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ c2_1(X57)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f225,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ c1_1(X54)
      | ~ c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f230,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f233,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f234,plain,
    ! [X31,X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | c2_1(X31)
      | ~ c0_1(X31)
      | ~ c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f235,plain,
    ! [X28,X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | c1_1(X28)
      | ~ c0_1(X28)
      | ~ c3_1(X28) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f246,definition,
    ( spl0_1
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f250,definition,
    ( spl0_2
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_3
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f257,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f254,f250,f246]) ).

fof(f259,definition,
    ( spl0_4
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_5
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_6
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f271,plain,
    ( spl0_1
    | spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f8,f263,f268,f246]) ).

fof(f273,definition,
    ( spl0_7
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f276,plain,
    ( spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f273,f250,f246]) ).

fof(f278,definition,
    ( spl0_8
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_9
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f287,definition,
    ( spl0_10
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f291,definition,
    ( spl0_11
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_13
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_14
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f307,plain,
    ( spl0_13
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f12,f304,f254,f300]) ).

fof(f309,definition,
    ( spl0_15
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_16
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f316,plain,
    ( spl0_15
    | spl0_16
    | spl0_14 ),
    inference(avatar_split_clause,[],[f13,f304,f313,f309]) ).

fof(f318,definition,
    ( spl0_17
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_2
    | spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f14,f318,f304,f250]) ).

fof(f323,definition,
    ( spl0_18
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f326,plain,
    ( spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f15,f323,f318]) ).

fof(f336,definition,
    ( spl0_21
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f341,definition,
    ( spl0_22
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f344,plain,
    ( spl0_7
    | spl0_16
    | spl0_22 ),
    inference(avatar_split_clause,[],[f17,f341,f313,f273]) ).

fof(f346,definition,
    ( spl0_23
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f350,definition,
    ( spl0_24
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_25
  <=> ! [X120] :
        ( ~ c0_1(X120)
        | ~ c3_1(X120)
        | ~ c2_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X120] :
        ( ~ c2_1(X120)
        | ~ c3_1(X120)
        | ~ c0_1(X120) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f362,definition,
    ( spl0_27
  <=> ! [X119] :
        ( ~ c0_1(X119)
        | ~ c2_1(X119)
        | ~ c1_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X119] :
        ( ~ c2_1(X119)
        | ~ c0_1(X119)
        | ~ c1_1(X119) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f366,definition,
    ( spl0_28
  <=> ! [X118] :
        ( c3_1(X118)
        | ~ c2_1(X118)
        | ~ c0_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X118] :
        ( ~ c0_1(X118)
        | ~ c2_1(X118)
        | c3_1(X118) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f368,plain,
    ( spl0_11
    | spl0_5
    | ~ spl0_24
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f366,f350,f263,f291]) ).

fof(f370,definition,
    ( spl0_29
  <=> ! [X117] :
        ( c3_1(X117)
        | ~ c1_1(X117)
        | ~ c0_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X117] :
        ( c3_1(X117)
        | ~ c1_1(X117)
        | ~ c0_1(X117) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( spl0_6
    | ~ spl0_24
    | spl0_29 ),
    inference(avatar_split_clause,[],[f21,f370,f350,f268]) ).

fof(f373,plain,
    ( spl0_9
    | ~ spl0_24
    | spl0_29 ),
    inference(avatar_split_clause,[],[f22,f370,f350,f282]) ).

fof(f374,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_24
    | spl0_29 ),
    inference(avatar_split_clause,[],[f23,f370,f350,f304,f250]) ).

fof(f376,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_24
    | spl0_29 ),
    inference(avatar_split_clause,[],[f25,f370,f350,f336,f254]) ).

fof(f378,definition,
    ( spl0_30
  <=> ! [X111] :
        ( c2_1(X111)
        | ~ c3_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | ~ c3_1(X111)
        | c2_1(X111) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,plain,
    ( spl0_8
    | spl0_28
    | ~ spl0_24
    | spl0_30 ),
    inference(avatar_split_clause,[],[f207,f378,f350,f366,f278]) ).

fof(f383,definition,
    ( spl0_31
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_32
  <=> ! [X108] :
        ( c2_1(X108)
        | ~ c3_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X108] :
        ( ~ c3_1(X108)
        | c2_1(X108)
        | ~ c0_1(X108) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_31
    | spl0_16
    | ~ spl0_24
    | spl0_32 ),
    inference(avatar_split_clause,[],[f28,f387,f350,f313,f383]) ).

fof(f391,definition,
    ( spl0_33
  <=> ! [X107] :
        ( c2_1(X107)
        | ~ c1_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | ~ c1_1(X107)
        | c2_1(X107) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f393,plain,
    ( spl0_15
    | spl0_31
    | ~ spl0_24
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f391,f350,f383,f309]) ).

fof(f395,definition,
    ( spl0_34
  <=> ! [X106] :
        ( c2_1(X106)
        | ~ c0_1(X106)
        | c3_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X106] :
        ( c3_1(X106)
        | ~ c0_1(X106)
        | c2_1(X106) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f404,definition,
    ( spl0_36
  <=> ! [X104] :
        ( c1_1(X104)
        | ~ c3_1(X104)
        | ~ c2_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X104] :
        ( ~ c2_1(X104)
        | ~ c3_1(X104)
        | c1_1(X104) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f408,definition,
    ( spl0_37
  <=> ! [X102] :
        ( c1_1(X102)
        | ~ c3_1(X102)
        | ~ c0_1(X102) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X102] :
        ( c1_1(X102)
        | ~ c3_1(X102)
        | ~ c0_1(X102) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f412,definition,
    ( spl0_38
  <=> ! [X101] :
        ( c1_1(X101)
        | ~ c2_1(X101)
        | ~ c0_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X101] :
        ( ~ c0_1(X101)
        | ~ c2_1(X101)
        | c1_1(X101) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f414,plain,
    ( spl0_31
    | spl0_16
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f34,f412,f350,f313,f383]) ).

fof(f415,plain,
    ( spl0_23
    | spl0_29
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f209,f412,f350,f370,f346]) ).

fof(f417,definition,
    ( spl0_39
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f420,plain,
    ( spl0_39
    | spl0_32
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f210,f412,f350,f387,f417]) ).

fof(f421,plain,
    ( spl0_25
    | spl0_36
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f211,f412,f350,f404,f354]) ).

fof(f427,definition,
    ( spl0_41
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c2_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X93] :
        ( ~ c2_1(X93)
        | c1_1(X93)
        | c3_1(X93) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f430,plain,
    ( spl0_3
    | spl0_23
    | ~ spl0_24
    | spl0_41 ),
    inference(avatar_split_clause,[],[f39,f427,f350,f346,f254]) ).

fof(f432,definition,
    ( spl0_42
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f435,plain,
    ( spl0_42
    | spl0_7
    | ~ spl0_24
    | spl0_41 ),
    inference(avatar_split_clause,[],[f40,f427,f350,f273,f432]) ).

fof(f437,definition,
    ( spl0_43
  <=> ! [X90] :
        ( ~ c1_1(X90)
        | ~ c3_1(X90)
        | ~ c2_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | ~ c3_1(X90)
        | ~ c1_1(X90) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_43
    | spl0_38
    | ~ spl0_24
    | spl0_41 ),
    inference(avatar_split_clause,[],[f212,f427,f350,f412,f437]) ).

fof(f441,definition,
    ( spl0_44
  <=> ! [X87] :
        ( ~ c0_1(X87)
        | ~ c3_1(X87)
        | ~ c1_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | ~ c3_1(X87)
        | ~ c1_1(X87) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f444,definition,
    ( spl0_45
  <=> ! [X86] :
        ( c1_1(X86)
        | ~ c0_1(X86)
        | c3_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X86] :
        ( ~ c0_1(X86)
        | c1_1(X86)
        | c3_1(X86) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( spl0_14
    | spl0_44
    | ~ spl0_24
    | spl0_45 ),
    inference(avatar_split_clause,[],[f213,f444,f350,f441,f304]) ).

fof(f447,plain,
    ( spl0_30
    | spl0_34
    | ~ spl0_24
    | spl0_45 ),
    inference(avatar_split_clause,[],[f214,f444,f350,f395,f378]) ).

fof(f449,definition,
    ( spl0_46
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c3_1(X82)
        | c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f450,plain,
    ( ! [X82] :
        ( c1_1(X82)
        | ~ c3_1(X82)
        | c2_1(X82) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f452,plain,
    ( spl0_22
    | spl0_33
    | ~ spl0_24
    | spl0_46 ),
    inference(avatar_split_clause,[],[f215,f449,f350,f391,f341]) ).

fof(f454,definition,
    ( spl0_47
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79)
        | c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c1_1(X79)
        | c2_1(X79) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f458,plain,
    ( spl0_15
    | spl0_37
    | ~ spl0_24
    | spl0_47 ),
    inference(avatar_split_clause,[],[f216,f454,f350,f408,f309]) ).

fof(f460,plain,
    ( spl0_16
    | spl0_41
    | ~ spl0_24
    | spl0_47 ),
    inference(avatar_split_clause,[],[f218,f454,f350,f427,f313]) ).

fof(f462,definition,
    ( spl0_48
  <=> ! [X70] :
        ( c1_1(X70)
        | c3_1(X70)
        | c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | c3_1(X70)
        | c2_1(X70) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_24
    | spl0_48 ),
    inference(avatar_split_clause,[],[f51,f462,f350,f304,f254]) ).

fof(f465,plain,
    ( spl0_1
    | spl0_28
    | ~ spl0_24
    | spl0_48 ),
    inference(avatar_split_clause,[],[f219,f462,f350,f366,f246]) ).

fof(f467,definition,
    ( spl0_49
  <=> ! [X67] :
        ( c3_1(X67)
        | ~ c2_1(X67)
        | ~ c1_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X67] :
        ( ~ c2_1(X67)
        | c3_1(X67)
        | ~ c1_1(X67) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f470,definition,
    ( spl0_50
  <=> ! [X66] :
        ( c2_1(X66)
        | ~ c1_1(X66)
        | c3_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c2_1(X66)
        | c3_1(X66) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_24
    | spl0_48 ),
    inference(avatar_split_clause,[],[f220,f462,f350,f470,f467]) ).

fof(f474,definition,
    ( spl0_51
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c3_1(X64)
        | ~ c2_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X64] :
        ( ~ c2_1(X64)
        | ~ c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f484,definition,
    ( spl0_53
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_5
    | spl0_28
    | ~ spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f224,f484,f350,f366,f263]) ).

fof(f487,plain,
    ( spl0_27
    | spl0_33
    | ~ spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f225,f484,f350,f391,f362]) ).

fof(f502,definition,
    ( spl0_57
  <=> ! [X47] :
        ( c0_1(X47)
        | ~ c3_1(X47)
        | c2_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | c2_1(X47) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( spl0_10
    | spl0_17
    | ~ spl0_24
    | spl0_57 ),
    inference(avatar_split_clause,[],[f63,f502,f350,f318,f287]) ).

fof(f507,definition,
    ( spl0_58
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c1_1(X42)
        | c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X42] :
        ( c0_1(X42)
        | ~ c1_1(X42)
        | c2_1(X42) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( spl0_43
    | spl0_46
    | ~ spl0_24
    | spl0_58 ),
    inference(avatar_split_clause,[],[f230,f507,f350,f449,f437]) ).

fof(f514,definition,
    ( spl0_59
  <=> ! [X34] :
        ( c0_1(X34)
        | c3_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X34] :
        ( c2_1(X34)
        | c3_1(X34)
        | c0_1(X34) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f517,plain,
    ( spl0_4
    | spl0_30
    | ~ spl0_24
    | spl0_59 ),
    inference(avatar_split_clause,[],[f233,f514,f350,f378,f259]) ).

fof(f518,plain,
    ( spl0_33
    | spl0_51
    | ~ spl0_24
    | spl0_59 ),
    inference(avatar_split_clause,[],[f234,f514,f350,f474,f391]) ).

fof(f519,plain,
    ( spl0_37
    | spl0_57
    | ~ spl0_24
    | spl0_59 ),
    inference(avatar_split_clause,[],[f235,f514,f350,f502,f408]) ).

fof(f562,definition,
    ( spl0_67
  <=> c2_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f564,plain,
    ( c2_1(a137)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f565,plain,
    ( spl0_67
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f90,f341,f562]) ).

fof(f567,definition,
    ( spl0_68
  <=> c1_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f569,plain,
    ( c1_1(a137)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,plain,
    ( spl0_68
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f91,f341,f567]) ).

fof(f572,definition,
    ( spl0_69
  <=> c0_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f575,plain,
    ( spl0_69
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f92,f341,f572]) ).

fof(f578,definition,
    ( spl0_70
  <=> c3_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f580,plain,
    ( c3_1(a101)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( spl0_70
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f94,f336,f578]) ).

fof(f583,definition,
    ( spl0_71
  <=> c1_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f585,plain,
    ( c1_1(a101)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( spl0_71
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f95,f336,f583]) ).

fof(f610,definition,
    ( spl0_76
  <=> c3_1(a173) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c3_1(a173)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl0_76
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f102,f291,f610]) ).

fof(f615,definition,
    ( spl0_77
  <=> c0_1(a173) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c0_1(a173)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( ~ spl0_77
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f103,f291,f615]) ).

fof(f620,definition,
    ( spl0_78
  <=> c1_1(a173) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f623,plain,
    ( spl0_78
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f104,f291,f620]) ).

fof(f626,definition,
    ( spl0_79
  <=> c3_1(a147) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_79
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f106,f417,f626]) ).

fof(f631,definition,
    ( spl0_80
  <=> c1_1(a147) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c1_1(a147)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f634,plain,
    ( ~ spl0_80
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f107,f417,f631]) ).

fof(f658,definition,
    ( spl0_85
  <=> c2_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ spl0_85
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f114,f273,f658]) ).

fof(f663,definition,
    ( spl0_86
  <=> c3_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f665,plain,
    ( c3_1(a138)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl0_86
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f115,f273,f663]) ).

fof(f668,definition,
    ( spl0_87
  <=> c0_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f670,plain,
    ( c0_1(a138)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( spl0_87
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f116,f273,f668]) ).

fof(f674,definition,
    ( spl0_88
  <=> c2_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ spl0_88
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f118,f432,f674]) ).

fof(f679,definition,
    ( spl0_89
  <=> c1_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f681,plain,
    ( ~ c1_1(a136)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f682,plain,
    ( ~ spl0_89
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f119,f432,f679]) ).

fof(f684,definition,
    ( spl0_90
  <=> c3_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f687,plain,
    ( spl0_90
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f432,f684]) ).

fof(f690,definition,
    ( spl0_91
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f692,plain,
    ( ~ c3_1(a132)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_91
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f122,f309,f690]) ).

fof(f695,definition,
    ( spl0_92
  <=> c2_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ c2_1(a132)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f698,plain,
    ( ~ spl0_92
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f123,f309,f695]) ).

fof(f700,definition,
    ( spl0_93
  <=> c1_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ c1_1(a132)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( ~ spl0_93
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f124,f309,f700]) ).

fof(f706,definition,
    ( spl0_94
  <=> c2_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ spl0_94
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f126,f254,f706]) ).

fof(f711,definition,
    ( spl0_95
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_95
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f127,f254,f711]) ).

fof(f716,definition,
    ( spl0_96
  <=> c1_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a130)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_96
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f128,f254,f716]) ).

fof(f720,plain,
    ( spl0_24
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f129,f254,f350]) ).

fof(f722,definition,
    ( spl0_97
  <=> c1_1(a129) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ spl0_97
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f130,f304,f722]) ).

fof(f727,definition,
    ( spl0_98
  <=> c2_1(a129) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f729,plain,
    ( c2_1(a129)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f730,plain,
    ( spl0_98
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f131,f304,f727]) ).

fof(f732,definition,
    ( spl0_99
  <=> c0_1(a129) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f734,plain,
    ( c0_1(a129)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( spl0_99
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f132,f304,f732]) ).

fof(f738,definition,
    ( spl0_100
  <=> c3_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_100
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f134,f300,f738]) ).

fof(f743,definition,
    ( spl0_101
  <=> c1_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ c1_1(a124)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( ~ spl0_101
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f135,f300,f743]) ).

fof(f748,definition,
    ( spl0_102
  <=> c2_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f750,plain,
    ( c2_1(a124)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl0_102
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f136,f300,f748]) ).

fof(f754,definition,
    ( spl0_103
  <=> c2_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ c2_1(a122)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f757,plain,
    ( ~ spl0_103
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f138,f263,f754]) ).

fof(f759,definition,
    ( spl0_104
  <=> c1_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ c1_1(a122)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( ~ spl0_104
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f139,f263,f759]) ).

fof(f764,definition,
    ( spl0_105
  <=> c0_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f766,plain,
    ( c0_1(a122)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( spl0_105
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f140,f263,f764]) ).

fof(f770,definition,
    ( spl0_106
  <=> c3_1(a121) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f246,f770]) ).

fof(f775,definition,
    ( spl0_107
  <=> c2_1(a121) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ c2_1(a121)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f778,plain,
    ( ~ spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f246,f775]) ).

fof(f780,definition,
    ( spl0_108
  <=> c0_1(a121) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ c0_1(a121)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f246,f780]) ).

fof(f784,plain,
    ( spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f246,f350]) ).

fof(f802,definition,
    ( spl0_112
  <=> c3_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f804,plain,
    ( ~ c3_1(a116)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f805,plain,
    ( ~ spl0_112
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f150,f318,f802]) ).

fof(f807,definition,
    ( spl0_113
  <=> c1_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f809,plain,
    ( c1_1(a116)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f810,plain,
    ( spl0_113
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f151,f318,f807]) ).

fof(f812,definition,
    ( spl0_114
  <=> c0_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_114
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f152,f318,f812]) ).

fof(f818,definition,
    ( spl0_115
  <=> c2_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f820,plain,
    ( ~ c2_1(a113)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( ~ spl0_115
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f154,f323,f818]) ).

fof(f823,definition,
    ( spl0_116
  <=> c1_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f825,plain,
    ( c1_1(a113)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( spl0_116
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f155,f323,f823]) ).

fof(f828,definition,
    ( spl0_117
  <=> c0_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f830,plain,
    ( c0_1(a113)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_117
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f156,f323,f828]) ).

fof(f834,definition,
    ( spl0_118
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f836,plain,
    ( ~ c1_1(a112)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( ~ spl0_118
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f158,f278,f834]) ).

fof(f839,definition,
    ( spl0_119
  <=> c0_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f841,plain,
    ( ~ c0_1(a112)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f842,plain,
    ( ~ spl0_119
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f159,f278,f839]) ).

fof(f844,definition,
    ( spl0_120
  <=> c3_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f846,plain,
    ( c3_1(a112)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( spl0_120
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f160,f278,f844]) ).

fof(f850,definition,
    ( spl0_121
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c3_1(a110)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl0_121
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f162,f259,f850]) ).

fof(f855,definition,
    ( spl0_122
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ c2_1(a110)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( ~ spl0_122
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f163,f259,f855]) ).

fof(f860,definition,
    ( spl0_123
  <=> c1_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f862,plain,
    ( c1_1(a110)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( spl0_123
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f164,f259,f860]) ).

fof(f882,definition,
    ( spl0_127
  <=> c2_1(a107) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f884,plain,
    ( ~ c2_1(a107)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( ~ spl0_127
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f170,f250,f882]) ).

fof(f887,definition,
    ( spl0_128
  <=> c0_1(a107) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f890,plain,
    ( ~ spl0_128
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f171,f250,f887]) ).

fof(f892,definition,
    ( spl0_129
  <=> c3_1(a107) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f894,plain,
    ( c3_1(a107)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( spl0_129
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f172,f250,f892]) ).

fof(f896,plain,
    ( spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f173,f250,f350]) ).

fof(f898,definition,
    ( spl0_130
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ c0_1(a106)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f901,plain,
    ( ~ spl0_130
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f174,f383,f898]) ).

fof(f903,definition,
    ( spl0_131
  <=> c3_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f905,plain,
    ( c3_1(a106)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( spl0_131
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f175,f383,f903]) ).

fof(f908,definition,
    ( spl0_132
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f910,plain,
    ( c2_1(a106)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( spl0_132
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f176,f383,f908]) ).

fof(f914,definition,
    ( spl0_133
  <=> c3_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c3_1(a105)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f917,plain,
    ( ~ spl0_133
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f268,f914]) ).

fof(f919,definition,
    ( spl0_134
  <=> c2_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f921,plain,
    ( c2_1(a105)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( spl0_134
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f179,f268,f919]) ).

fof(f924,definition,
    ( spl0_135
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f926,plain,
    ( c1_1(a105)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( spl0_135
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f180,f268,f924]) ).

fof(f930,definition,
    ( spl0_136
  <=> c3_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ c3_1(a104)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( ~ spl0_136
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f182,f287,f930]) ).

fof(f940,definition,
    ( spl0_138
  <=> c2_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f942,plain,
    ( c2_1(a104)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_138
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f184,f287,f940]) ).

fof(f946,definition,
    ( spl0_139
  <=> c3_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ c3_1(a103)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( ~ spl0_139
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f186,f313,f946]) ).

fof(f951,definition,
    ( spl0_140
  <=> c2_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f953,plain,
    ( c2_1(a103)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_140
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f187,f313,f951]) ).

fof(f956,definition,
    ( spl0_141
  <=> c0_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f958,plain,
    ( c0_1(a103)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( spl0_141
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f188,f313,f956]) ).

fof(f994,definition,
    ( spl0_148
  <=> c3_1(a98) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f997,plain,
    ( ~ spl0_148
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f198,f346,f994]) ).

fof(f999,definition,
    ( spl0_149
  <=> c1_1(a98) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1001,plain,
    ( ~ c1_1(a98)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1002,plain,
    ( ~ spl0_149
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f199,f346,f999]) ).

fof(f1004,definition,
    ( spl0_150
  <=> c0_1(a98) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1006,plain,
    ( c0_1(a98)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1007,plain,
    ( spl0_150
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f200,f346,f1004]) ).

fof(f1010,definition,
    ( spl0_151
  <=> c3_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1012,plain,
    ( ~ c3_1(a97)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1013,plain,
    ( ~ spl0_151
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f202,f282,f1010]) ).

fof(f1015,definition,
    ( spl0_152
  <=> c2_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ c2_1(a97)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( ~ spl0_152
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f203,f282,f1015]) ).

fof(f1020,definition,
    ( spl0_153
  <=> c0_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1022,plain,
    ( c0_1(a97)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1023,plain,
    ( spl0_153
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f204,f282,f1020]) ).

fof(f1025,plain,
    ( ! [X118] :
        ( ~ c2_1(X118)
        | ~ c0_1(X118) )
    | ~ spl0_25
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f367,f355]) ).

fof(f1027,plain,
    ( ~ c1_1(a116)
    | ~ c0_1(a116)
    | ~ spl0_29
    | spl0_112 ),
    inference(resolution,[],[f371,f804]) ).

fof(f1028,plain,
    ( ~ c0_1(a116)
    | ~ spl0_29
    | spl0_112
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1027,f809]) ).

fof(f1031,plain,
    ( ~ spl0_114
    | ~ spl0_29
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1028,f807,f802,f370,f812]) ).

fof(f1032,plain,
    ( ~ c0_1(a129)
    | ~ spl0_25
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(resolution,[],[f729,f1025]) ).

fof(f1034,plain,
    ( ~ c3_1(a129)
    | ~ c0_1(a129)
    | ~ spl0_25
    | ~ spl0_98 ),
    inference(resolution,[],[f729,f355]) ).

fof(f1036,definition,
    ( spl0_154
  <=> c3_1(a129) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1038,plain,
    ( ~ c3_1(a129)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( ~ spl0_99
    | ~ spl0_154
    | ~ spl0_25
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1034,f727,f354,f1036,f732]) ).

fof(f1040,plain,
    ( ~ spl0_99
    | ~ spl0_25
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1032,f727,f366,f354,f732]) ).

fof(f1042,plain,
    ( ~ c3_1(a113)
    | c2_1(a113)
    | ~ spl0_30
    | ~ spl0_116 ),
    inference(resolution,[],[f379,f825]) ).

fof(f1045,plain,
    ( ~ c3_1(a101)
    | c2_1(a101)
    | ~ spl0_30
    | ~ spl0_71 ),
    inference(resolution,[],[f379,f585]) ).

fof(f1046,plain,
    ( c2_1(a101)
    | ~ spl0_30
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[],[f1045,f580]) ).

fof(f1048,plain,
    ( ~ c3_1(a113)
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1042,f820]) ).

fof(f1051,plain,
    ( ! [X108] :
        ( ~ c3_1(X108)
        | ~ c0_1(X108) )
    | ~ spl0_25
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f388,f355]) ).

fof(f1055,plain,
    ( ~ c0_1(a138)
    | ~ spl0_25
    | ~ spl0_32
    | ~ spl0_86 ),
    inference(resolution,[],[f1051,f665]) ).

fof(f1063,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_32
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1055,f670]) ).

fof(f1064,plain,
    ( ~ spl0_25
    | ~ spl0_32
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1063]) ).

fof(f1069,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_32
    | ~ spl0_86 ),
    inference(resolution,[],[f388,f665]) ).

fof(f1085,plain,
    ( ~ c3_1(a129)
    | c1_1(a129)
    | ~ spl0_36
    | ~ spl0_98 ),
    inference(resolution,[],[f405,f729]) ).

fof(f1103,definition,
    ( spl0_155
  <=> c2_1(a173) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1104,plain,
    ( ~ c2_1(a173)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1105,plain,
    ( c2_1(a173)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1141,plain,
    ( ~ c3_1(a130)
    | c2_1(a130)
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(resolution,[],[f379,f718]) ).

fof(f1164,plain,
    ( c1_1(a129)
    | c3_1(a129)
    | ~ spl0_41
    | ~ spl0_98 ),
    inference(resolution,[],[f428,f729]) ).

fof(f1171,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | ~ c0_1(X86) )
    | ~ spl0_29
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f445,f371]) ).

fof(f1177,plain,
    ( ~ c3_1(a112)
    | c2_1(a112)
    | ~ spl0_46
    | spl0_118 ),
    inference(resolution,[],[f450,f836]) ).

fof(f1186,plain,
    ( c2_1(a112)
    | ~ spl0_46
    | spl0_118
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1177,f846]) ).

fof(f1202,plain,
    ( ~ c0_1(a137)
    | ~ c1_1(a137)
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(resolution,[],[f564,f363]) ).

fof(f1203,plain,
    ( ~ c3_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_25
    | ~ spl0_67 ),
    inference(resolution,[],[f564,f355]) ).

fof(f1204,plain,
    ( ~ c0_1(a137)
    | ~ spl0_25
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f1203,f1171]) ).

fof(f1205,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1202,f562,f362,f572,f567]) ).

fof(f1207,definition,
    ( spl0_157
  <=> c3_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1208,plain,
    ( ~ c3_1(a137)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1211,plain,
    ( ~ spl0_69
    | ~ spl0_25
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1204,f562,f444,f370,f354,f572]) ).

fof(f1219,definition,
    ( spl0_158
  <=> c0_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1238,plain,
    ( c1_1(a97)
    | c3_1(a97)
    | ~ spl0_45
    | ~ spl0_153 ),
    inference(resolution,[],[f445,f1022]) ).

fof(f1239,plain,
    ( c1_1(a98)
    | c3_1(a98)
    | ~ spl0_45
    | ~ spl0_150 ),
    inference(resolution,[],[f445,f1006]) ).

fof(f1242,plain,
    ( c1_1(a122)
    | c3_1(a122)
    | ~ spl0_45
    | ~ spl0_105 ),
    inference(resolution,[],[f445,f766]) ).

fof(f1243,plain,
    ( c1_1(a129)
    | c3_1(a129)
    | ~ spl0_45
    | ~ spl0_99 ),
    inference(resolution,[],[f445,f734]) ).

fof(f1249,plain,
    ( c1_1(a97)
    | ~ spl0_45
    | spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1238,f1012]) ).

fof(f1262,plain,
    ( c1_1(a124)
    | c3_1(a124)
    | ~ spl0_41
    | ~ spl0_102 ),
    inference(resolution,[],[f750,f428]) ).

fof(f1265,plain,
    ( c3_1(a124)
    | ~ spl0_41
    | spl0_101
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f1262,f745]) ).

fof(f1284,plain,
    ( ~ c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_29
    | spl0_133 ),
    inference(resolution,[],[f371,f916]) ).

fof(f1291,plain,
    ( ~ c0_1(a105)
    | ~ spl0_29
    | spl0_133
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1284,f926]) ).

fof(f1293,plain,
    ( ~ spl0_158
    | ~ spl0_29
    | spl0_133
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1291,f924,f914,f370,f1219]) ).

fof(f1294,plain,
    ( ~ c1_1(a113)
    | ~ c0_1(a113)
    | ~ spl0_29
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116 ),
    inference(resolution,[],[f1048,f371]) ).

fof(f1295,plain,
    ( ~ c0_1(a113)
    | ~ spl0_29
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1294,f825]) ).

fof(f1296,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1295,f830]) ).

fof(f1297,plain,
    ( ~ spl0_29
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1296]) ).

fof(f1302,definition,
    ( spl0_159
  <=> c3_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1308,plain,
    ( ~ c0_1(a97)
    | c2_1(a97)
    | ~ spl0_34
    | spl0_151 ),
    inference(resolution,[],[f396,f1012]) ).

fof(f1322,definition,
    ( spl0_160
  <=> c1_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1323,plain,
    ( c1_1(a97)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1326,plain,
    ( ~ c0_1(a97)
    | ~ spl0_34
    | spl0_151
    | spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1308,f1017]) ).

fof(f1327,plain,
    ( ~ spl0_153
    | ~ spl0_34
    | spl0_151
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1326,f1015,f1010,f395,f1020]) ).

fof(f1333,plain,
    ( ~ c3_1(a122)
    | ~ c0_1(a122)
    | ~ spl0_37
    | spl0_104 ),
    inference(resolution,[],[f409,f761]) ).

fof(f1348,plain,
    ( ~ c3_1(a137)
    | ~ c1_1(a137)
    | ~ spl0_43
    | ~ spl0_67 ),
    inference(resolution,[],[f438,f564]) ).

fof(f1349,plain,
    ( ~ c3_1(a137)
    | ~ spl0_43
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(forward_subsumption_resolution,[],[f1348,f569]) ).

fof(f1352,plain,
    ( ~ spl0_157
    | ~ spl0_43
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1349,f567,f562,f437,f1207]) ).

fof(f1356,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | ~ c1_1(X87) )
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f442,f371]) ).

fof(f1358,plain,
    ( ~ c1_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_29
    | spl0_157 ),
    inference(resolution,[],[f1208,f371]) ).

fof(f1360,plain,
    ( ~ c1_1(a113)
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(resolution,[],[f1356,f830]) ).

fof(f1363,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1360,f825]) ).

fof(f1364,plain,
    ( ~ spl0_29
    | ~ spl0_44
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1391,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | c2_1(X70) )
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f463,f450]) ).

fof(f1396,plain,
    ( c2_1(a122)
    | ~ spl0_46
    | ~ spl0_48
    | spl0_104 ),
    inference(resolution,[],[f1391,f761]) ).

fof(f1404,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_48
    | spl0_103
    | spl0_104 ),
    inference(forward_subsumption_resolution,[],[f1396,f756]) ).

fof(f1405,plain,
    ( ~ spl0_46
    | ~ spl0_48
    | spl0_103
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1411,definition,
    ( spl0_161
  <=> c1_1(a121) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1413,plain,
    ( ~ c1_1(a121)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1411]) ).

fof(f1434,plain,
    ( ! [X64] :
        ( ~ c3_1(X64)
        | ~ c2_1(X64) )
    | ~ spl0_25
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f475,f355]) ).

fof(f1438,plain,
    ( ~ c2_1(a106)
    | ~ spl0_25
    | ~ spl0_51
    | ~ spl0_131 ),
    inference(resolution,[],[f1434,f905]) ).

fof(f1449,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_51
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1438,f910]) ).

fof(f1450,plain,
    ( ~ spl0_25
    | ~ spl0_51
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1504,plain,
    ( ! [X118] :
        ( ~ c0_1(X118)
        | c3_1(X118) )
    | ~ spl0_28
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f367,f396]) ).

fof(f1549,plain,
    ( c3_1(a129)
    | ~ spl0_28
    | ~ spl0_34
    | ~ spl0_99 ),
    inference(resolution,[],[f1504,f734]) ).

fof(f1560,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f468,f438]) ).

fof(f1628,plain,
    ( c0_1(a107)
    | c2_1(a107)
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(resolution,[],[f503,f894]) ).

fof(f1638,plain,
    ( c0_1(a107)
    | ~ spl0_57
    | spl0_127
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1628,f884]) ).

fof(f1639,plain,
    ( spl0_128
    | ~ spl0_57
    | spl0_127
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1638,f892,f882,f502,f887]) ).

fof(f1643,definition,
    ( spl0_167
  <=> c0_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1645,plain,
    ( ~ c0_1(a110)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1643]) ).

fof(f1710,plain,
    ( ! [X101] :
        ( ~ c0_1(X101)
        | c1_1(X101) )
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f413,f455]) ).

fof(f1718,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(resolution,[],[f1560,f409]) ).

fof(f1726,plain,
    ( spl0_25
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1718,f467,f437,f408,f354]) ).

fof(f1728,plain,
    ( c1_1(a98)
    | ~ spl0_38
    | ~ spl0_47
    | ~ spl0_150 ),
    inference(resolution,[],[f1710,f1006]) ).

fof(f1739,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_47
    | spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f1728,f1001]) ).

fof(f1740,plain,
    ( ~ spl0_38
    | ~ spl0_47
    | spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1739]) ).

fof(f1762,plain,
    ( ~ c0_1(a137)
    | ~ spl0_29
    | ~ spl0_68
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f1358,f569]) ).

fof(f1764,plain,
    ( ~ spl0_69
    | ~ spl0_29
    | ~ spl0_68
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1762,f1207,f567,f370,f572]) ).

fof(f1816,plain,
    ( ~ c2_1(a129)
    | c1_1(a129)
    | ~ spl0_38
    | ~ spl0_99 ),
    inference(resolution,[],[f413,f734]) ).

fof(f1821,plain,
    ( c1_1(a129)
    | ~ spl0_38
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f1816,f729]) ).

fof(f1865,plain,
    ( ~ c1_1(a113)
    | c2_1(a113)
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(resolution,[],[f392,f830]) ).

fof(f1873,plain,
    ( c2_1(a113)
    | ~ spl0_33
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1865,f825]) ).

fof(f1881,plain,
    ( spl0_154
    | ~ spl0_28
    | ~ spl0_34
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1549,f732,f395,f366,f1036]) ).

fof(f1894,plain,
    ( ! [X86] :
        ( ~ c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f445,f409]) ).

fof(f1925,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_45
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1239,f1004,f444,f999,f994]) ).

fof(f1930,plain,
    ( ~ c1_1(a110)
    | ~ c0_1(a110)
    | ~ spl0_29
    | spl0_121 ),
    inference(resolution,[],[f852,f371]) ).

fof(f1931,plain,
    ( ~ spl0_167
    | ~ spl0_123
    | ~ spl0_29
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1930,f850,f370,f860,f1643]) ).

fof(f2063,plain,
    ( c2_1(a97)
    | c3_1(a97)
    | ~ spl0_50
    | ~ spl0_160 ),
    inference(resolution,[],[f471,f1323]) ).

fof(f2072,plain,
    ( c2_1(a110)
    | c3_1(a110)
    | ~ spl0_50
    | ~ spl0_123 ),
    inference(resolution,[],[f471,f862]) ).

fof(f2083,plain,
    ( c3_1(a110)
    | ~ spl0_50
    | spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2072,f857]) ).

fof(f2084,plain,
    ( $false
    | ~ spl0_50
    | spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2083,f852]) ).

fof(f2085,plain,
    ( ~ spl0_50
    | spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2084]) ).

fof(f2119,plain,
    ( ! [X67] :
        ( ~ c2_1(X67)
        | c3_1(X67) )
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f468,f428]) ).

fof(f2123,plain,
    ( c3_1(a104)
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_138 ),
    inference(resolution,[],[f2119,f942]) ).

fof(f2139,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_49
    | spl0_136
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f2123,f932]) ).

fof(f2140,plain,
    ( ~ spl0_41
    | ~ spl0_49
    | spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2139]) ).

fof(f2147,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | c3_1(X70) )
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f463,f428]) ).

fof(f2150,plain,
    ( ! [X34] :
        ( c3_1(X34)
        | c2_1(X34) )
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f515,f1171]) ).

fof(f2185,plain,
    ( ~ c0_1(a103)
    | ~ spl0_29
    | ~ spl0_45
    | spl0_139 ),
    inference(resolution,[],[f948,f1171]) ).

fof(f2190,plain,
    ( ~ spl0_141
    | ~ spl0_29
    | ~ spl0_45
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2185,f946,f444,f370,f956]) ).

fof(f2205,plain,
    ( c3_1(a105)
    | ~ c1_1(a105)
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(resolution,[],[f468,f921]) ).

fof(f2216,plain,
    ( ~ c1_1(a105)
    | ~ spl0_49
    | spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2205,f916]) ).

fof(f2234,plain,
    ( ~ spl0_135
    | ~ spl0_49
    | spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2216,f919,f914,f467,f924]) ).

fof(f2243,plain,
    ( ~ c3_1(a106)
    | c0_1(a106)
    | ~ spl0_51
    | ~ spl0_132 ),
    inference(resolution,[],[f475,f910]) ).

fof(f2245,plain,
    ( ~ c3_1(a112)
    | c0_1(a112)
    | ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | ~ spl0_120 ),
    inference(resolution,[],[f475,f1186]) ).

fof(f2250,plain,
    ( c0_1(a112)
    | ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2245,f846]) ).

fof(f2259,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2250,f841]) ).

fof(f2260,plain,
    ( ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2267,plain,
    ( ! [X111] :
        ( ~ c3_1(X111)
        | c2_1(X111) )
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f379,f450]) ).

fof(f2279,plain,
    ( c2_1(a138)
    | ~ spl0_32
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1069,f670]) ).

fof(f2282,plain,
    ( spl0_97
    | ~ spl0_154
    | ~ spl0_36
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1085,f727,f404,f1036,f722]) ).

fof(f2318,plain,
    ( spl0_85
    | ~ spl0_32
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2279,f668,f663,f387,f658]) ).

fof(f2327,plain,
    ( spl0_94
    | ~ spl0_95
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1141,f716,f378,f711,f706]) ).

fof(f2332,plain,
    ( ~ c3_1(a136)
    | c2_1(a136)
    | ~ spl0_46
    | spl0_89 ),
    inference(resolution,[],[f681,f450]) ).

fof(f2349,plain,
    ( spl0_88
    | ~ spl0_90
    | ~ spl0_46
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2332,f679,f449,f684,f674]) ).

fof(f2382,plain,
    ( c2_1(a107)
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(resolution,[],[f2267,f894]) ).

fof(f2390,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_46
    | spl0_127
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2382,f884]) ).

fof(f2391,plain,
    ( ~ spl0_30
    | ~ spl0_46
    | spl0_127
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2390]) ).

fof(f2405,plain,
    ( spl0_115
    | ~ spl0_33
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1873,f828,f823,f391,f818]) ).

fof(f2417,plain,
    ( spl0_97
    | ~ spl0_38
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1821,f732,f727,f412,f722]) ).

fof(f2421,plain,
    ( c1_1(a129)
    | ~ spl0_41
    | ~ spl0_98
    | spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1164,f1038]) ).

fof(f2424,plain,
    ( spl0_100
    | ~ spl0_41
    | spl0_101
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1265,f748,f743,f427,f738]) ).

fof(f2434,plain,
    ( c1_1(a129)
    | ~ spl0_45
    | ~ spl0_99
    | spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1243,f1038]) ).

fof(f2435,plain,
    ( spl0_160
    | ~ spl0_45
    | spl0_151
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1249,f1020,f1010,f444,f1322]) ).

fof(f2445,plain,
    ( spl0_97
    | ~ spl0_41
    | ~ spl0_98
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2421,f1036,f727,f427,f722]) ).

fof(f2449,plain,
    ( spl0_97
    | ~ spl0_45
    | ~ spl0_99
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2434,f1036,f732,f444,f722]) ).

fof(f2474,plain,
    ( c3_1(a147)
    | ~ spl0_41
    | ~ spl0_48
    | spl0_80 ),
    inference(resolution,[],[f2147,f633]) ).

fof(f2487,plain,
    ( spl0_79
    | ~ spl0_41
    | ~ spl0_48
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2474,f631,f462,f427,f626]) ).

fof(f2505,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | c2_1(X107) )
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f392,f1894]) ).

fof(f2507,plain,
    ( c2_1(a97)
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_153 ),
    inference(resolution,[],[f2505,f1022]) ).

fof(f2519,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_37
    | ~ spl0_45
    | spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2507,f1017]) ).

fof(f2520,plain,
    ( ~ spl0_33
    | ~ spl0_37
    | ~ spl0_45
    | spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2519]) ).

fof(f2528,plain,
    ( c1_1(a122)
    | ~ spl0_38
    | ~ spl0_47
    | ~ spl0_105 ),
    inference(resolution,[],[f1710,f766]) ).

fof(f2573,plain,
    ( c0_1(a105)
    | ~ c1_1(a105)
    | ~ spl0_53
    | ~ spl0_134 ),
    inference(resolution,[],[f485,f921]) ).

fof(f2580,plain,
    ( c0_1(a173)
    | ~ c1_1(a173)
    | ~ spl0_53
    | ~ spl0_155 ),
    inference(resolution,[],[f485,f1105]) ).

fof(f2587,plain,
    ( ~ c1_1(a173)
    | ~ spl0_53
    | spl0_77
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f2580,f617]) ).

fof(f2605,plain,
    ( c0_1(a105)
    | ~ spl0_53
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2573,f926]) ).

fof(f2608,plain,
    ( spl0_158
    | ~ spl0_53
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2605,f924,f919,f484,f1219]) ).

fof(f2697,plain,
    ( ! [X42] :
        ( c0_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_53
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f508,f485]) ).

fof(f2703,plain,
    ( ~ c1_1(a110)
    | ~ spl0_53
    | ~ spl0_58
    | spl0_167 ),
    inference(resolution,[],[f2697,f1645]) ).

fof(f2706,plain,
    ( ~ c1_1(a121)
    | ~ spl0_53
    | ~ spl0_58
    | spl0_108 ),
    inference(resolution,[],[f2697,f782]) ).

fof(f2710,plain,
    ( ~ c1_1(a173)
    | ~ spl0_53
    | ~ spl0_58
    | spl0_77 ),
    inference(resolution,[],[f2697,f617]) ).

fof(f2722,plain,
    ( ~ spl0_161
    | ~ spl0_53
    | ~ spl0_58
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2706,f780,f507,f484,f1411]) ).

fof(f2772,plain,
    ( c3_1(a97)
    | ~ spl0_50
    | spl0_152
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2063,f1017]) ).

fof(f2776,plain,
    ( ~ spl0_78
    | ~ spl0_53
    | ~ spl0_58
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2710,f615,f507,f484,f620]) ).

fof(f2784,plain,
    ( $false
    | ~ spl0_50
    | spl0_151
    | spl0_152
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2772,f1012]) ).

fof(f2785,plain,
    ( ~ spl0_50
    | spl0_151
    | spl0_152
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2784]) ).

fof(f2809,plain,
    ( ~ spl0_123
    | ~ spl0_53
    | ~ spl0_58
    | spl0_167 ),
    inference(avatar_split_clause,[],[f2703,f1643,f507,f484,f860]) ).

fof(f2901,plain,
    ( c2_1(a132)
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_59
    | spl0_91 ),
    inference(resolution,[],[f2150,f692]) ).

fof(f2906,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_59
    | spl0_91
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f2901,f697]) ).

fof(f2907,plain,
    ( ~ spl0_29
    | ~ spl0_45
    | ~ spl0_59
    | spl0_91
    | spl0_92 ),
    inference(avatar_contradiction_clause,[],[f2906]) ).

fof(f2937,plain,
    ( spl0_159
    | spl0_104
    | ~ spl0_45
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1242,f764,f444,f759,f1302]) ).

fof(f2938,plain,
    ( spl0_104
    | ~ spl0_38
    | ~ spl0_47
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2528,f764,f454,f412,f759]) ).

fof(f3008,plain,
    ( c3_1(a121)
    | c2_1(a121)
    | ~ spl0_48
    | spl0_161 ),
    inference(resolution,[],[f463,f1413]) ).

fof(f3009,plain,
    ( c3_1(a122)
    | c2_1(a122)
    | ~ spl0_48
    | spl0_104 ),
    inference(resolution,[],[f463,f761]) ).

fof(f3011,plain,
    ( c3_1(a132)
    | c2_1(a132)
    | ~ spl0_48
    | spl0_93 ),
    inference(resolution,[],[f463,f702]) ).

fof(f3016,plain,
    ( c2_1(a132)
    | ~ spl0_48
    | spl0_91
    | spl0_93 ),
    inference(forward_subsumption_resolution,[],[f3011,f692]) ).

fof(f3022,plain,
    ( $false
    | ~ spl0_48
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(forward_subsumption_resolution,[],[f3016,f697]) ).

fof(f3023,plain,
    ( ~ spl0_48
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(avatar_contradiction_clause,[],[f3022]) ).

fof(f3029,plain,
    ( spl0_103
    | spl0_159
    | ~ spl0_48
    | spl0_104 ),
    inference(avatar_split_clause,[],[f3009,f759,f462,f1302,f754]) ).

fof(f3078,plain,
    ( c3_1(a121)
    | c0_1(a121)
    | ~ spl0_59
    | spl0_107 ),
    inference(resolution,[],[f515,f777]) ).

fof(f3082,plain,
    ( c3_1(a173)
    | c0_1(a173)
    | ~ spl0_59
    | spl0_155 ),
    inference(resolution,[],[f515,f1104]) ).

fof(f3084,plain,
    ( c0_1(a173)
    | ~ spl0_59
    | spl0_76
    | spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3082,f612]) ).

fof(f3089,plain,
    ( $false
    | ~ spl0_59
    | spl0_76
    | spl0_77
    | spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3084,f617]) ).

fof(f3090,plain,
    ( ~ spl0_59
    | spl0_76
    | spl0_77
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3089]) ).

fof(f3104,plain,
    ( c3_1(a121)
    | ~ spl0_59
    | spl0_107
    | spl0_108 ),
    inference(forward_subsumption_resolution,[],[f3078,f782]) ).

fof(f3106,plain,
    ( spl0_106
    | ~ spl0_59
    | spl0_107
    | spl0_108 ),
    inference(avatar_split_clause,[],[f3104,f780,f775,f514,f770]) ).

fof(f3111,plain,
    ( ~ c3_1(a106)
    | ~ spl0_51
    | spl0_130
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2243,f900]) ).

fof(f3113,plain,
    ( spl0_107
    | spl0_106
    | ~ spl0_48
    | spl0_161 ),
    inference(avatar_split_clause,[],[f3008,f1411,f462,f770,f775]) ).

fof(f3114,plain,
    ( ~ spl0_131
    | ~ spl0_51
    | spl0_130
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f3111,f908,f898,f474,f903]) ).

fof(f3157,plain,
    ( ~ c2_1(a103)
    | c3_1(a103)
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(resolution,[],[f367,f958]) ).

fof(f3165,plain,
    ( c3_1(a103)
    | ~ spl0_28
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f3157,f953]) ).

fof(f3168,plain,
    ( $false
    | ~ spl0_28
    | spl0_139
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f3165,f948]) ).

fof(f3169,plain,
    ( ~ spl0_28
    | spl0_139
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f3168]) ).

fof(f3186,plain,
    ( ~ spl0_105
    | ~ spl0_159
    | ~ spl0_37
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1333,f759,f408,f1302,f764]) ).

fof(f3199,plain,
    ( ~ spl0_78
    | ~ spl0_53
    | spl0_77
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2587,f1103,f615,f484,f620]) ).

fof(f3226,plain,
    ( ~ c3_1(a101)
    | ~ c1_1(a101)
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(resolution,[],[f1046,f438]) ).

fof(f3227,plain,
    ( ~ c1_1(a101)
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[],[f3226,f580]) ).

fof(f3228,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[],[f3227,f585]) ).

fof(f3229,plain,
    ( ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f3228]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s8,plain,
    ( spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s9,plain,
    ( spl0_2
    | spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s10,plain,
    ( spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s12,plain,
    ( spl0_7
    | spl0_16
    | spl0_22 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s15,plain,
    ( spl0_5
    | spl0_11
    | ~ spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s16,plain,
    ( spl0_6
    | ~ spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s17,plain,
    ( spl0_9
    | ~ spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s18,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s20,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s22,plain,
    ( spl0_8
    | ~ spl0_24
    | spl0_28
    | spl0_30 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s23,plain,
    ( spl0_16
    | ~ spl0_24
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s24,plain,
    ( spl0_15
    | ~ spl0_24
    | spl0_31
    | spl0_33 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s29,plain,
    ( spl0_16
    | ~ spl0_24
    | spl0_31
    | spl0_38 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s30,plain,
    ( spl0_23
    | ~ spl0_24
    | spl0_29
    | spl0_38 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s31,plain,
    ( ~ spl0_24
    | spl0_32
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s32,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_36
    | spl0_38 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s34,plain,
    ( spl0_3
    | spl0_23
    | ~ spl0_24
    | spl0_41 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s35,plain,
    ( spl0_7
    | ~ spl0_24
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s36,plain,
    ( ~ spl0_24
    | spl0_38
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s37,plain,
    ( spl0_14
    | ~ spl0_24
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s38,plain,
    ( ~ spl0_24
    | spl0_30
    | spl0_34
    | spl0_45 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s40,plain,
    ( spl0_22
    | ~ spl0_24
    | spl0_33
    | spl0_46 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s43,plain,
    ( spl0_15
    | ~ spl0_24
    | spl0_37
    | spl0_47 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s45,plain,
    ( spl0_16
    | ~ spl0_24
    | spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_24
    | spl0_48 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s47,plain,
    ( spl0_1
    | ~ spl0_24
    | spl0_28
    | spl0_48 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s48,plain,
    ( ~ spl0_24
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s53,plain,
    ( spl0_5
    | ~ spl0_24
    | spl0_28
    | spl0_53 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s54,plain,
    ( ~ spl0_24
    | spl0_27
    | spl0_33
    | spl0_53 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s58,plain,
    ( spl0_10
    | spl0_17
    | ~ spl0_24
    | spl0_57 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s61,plain,
    ( ~ spl0_24
    | spl0_43
    | spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s65,plain,
    ( spl0_4
    | ~ spl0_24
    | spl0_30
    | spl0_59 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s66,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_51
    | spl0_59 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s67,plain,
    ( ~ spl0_24
    | spl0_37
    | spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s85,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s86,plain,
    ( ~ spl0_22
    | spl0_68 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s87,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s89,plain,
    ( ~ spl0_21
    | spl0_70 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s90,plain,
    ( ~ spl0_21
    | spl0_71 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s97,plain,
    ( ~ spl0_11
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s98,plain,
    ( ~ spl0_11
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s99,plain,
    ( ~ spl0_11
    | spl0_78 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s101,plain,
    ( ~ spl0_39
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s102,plain,
    ( ~ spl0_39
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s109,plain,
    ( ~ spl0_7
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s110,plain,
    ( ~ spl0_7
    | spl0_86 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s111,plain,
    ( ~ spl0_7
    | spl0_87 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s113,plain,
    ( ~ spl0_42
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s114,plain,
    ( ~ spl0_42
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s115,plain,
    ( ~ spl0_42
    | spl0_90 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s117,plain,
    ( ~ spl0_15
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s118,plain,
    ( ~ spl0_15
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s119,plain,
    ( ~ spl0_15
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s121,plain,
    ( ~ spl0_3
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s122,plain,
    ( ~ spl0_3
    | spl0_95 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s123,plain,
    ( ~ spl0_3
    | spl0_96 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s124,plain,
    ( ~ spl0_3
    | spl0_24 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s125,plain,
    ( ~ spl0_14
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s126,plain,
    ( ~ spl0_14
    | spl0_98 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s127,plain,
    ( ~ spl0_14
    | spl0_99 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s129,plain,
    ( ~ spl0_13
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s130,plain,
    ( ~ spl0_13
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s131,plain,
    ( ~ spl0_13
    | spl0_102 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s133,plain,
    ( ~ spl0_5
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s134,plain,
    ( ~ spl0_5
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s135,plain,
    ( ~ spl0_5
    | spl0_105 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s137,plain,
    ( ~ spl0_1
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s138,plain,
    ( ~ spl0_1
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s139,plain,
    ( ~ spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s140,plain,
    ( ~ spl0_1
    | spl0_24 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s145,plain,
    ( ~ spl0_17
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s146,plain,
    ( ~ spl0_17
    | spl0_113 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s147,plain,
    ( ~ spl0_17
    | spl0_114 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s149,plain,
    ( ~ spl0_18
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s150,plain,
    ( ~ spl0_18
    | spl0_116 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s151,plain,
    ( ~ spl0_18
    | spl0_117 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s153,plain,
    ( ~ spl0_8
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s154,plain,
    ( ~ spl0_8
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s155,plain,
    ( ~ spl0_8
    | spl0_120 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s157,plain,
    ( ~ spl0_4
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s158,plain,
    ( ~ spl0_4
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s159,plain,
    ( ~ spl0_4
    | spl0_123 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s165,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s166,plain,
    ( ~ spl0_2
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s167,plain,
    ( ~ spl0_2
    | spl0_129 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s168,plain,
    ( ~ spl0_2
    | spl0_24 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s169,plain,
    ( ~ spl0_31
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s170,plain,
    ( ~ spl0_31
    | spl0_131 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s171,plain,
    ( ~ spl0_31
    | spl0_132 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s173,plain,
    ( ~ spl0_6
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s174,plain,
    ( ~ spl0_6
    | spl0_134 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s175,plain,
    ( ~ spl0_6
    | spl0_135 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s177,plain,
    ( ~ spl0_10
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s179,plain,
    ( ~ spl0_10
    | spl0_138 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s181,plain,
    ( ~ spl0_16
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s182,plain,
    ( ~ spl0_16
    | spl0_140 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s183,plain,
    ( ~ spl0_16
    | spl0_141 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s193,plain,
    ( ~ spl0_23
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s194,plain,
    ( ~ spl0_23
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s195,plain,
    ( ~ spl0_23
    | spl0_150 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s197,plain,
    ( ~ spl0_9
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s198,plain,
    ( ~ spl0_9
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s199,plain,
    ( ~ spl0_9
    | spl0_153 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s202,plain,
    ( ~ spl0_29
    | spl0_112
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s203,plain,
    ( ~ spl0_25
    | ~ spl0_98
    | ~ spl0_99
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s204,plain,
    ( ~ spl0_25
    | ~ spl0_28
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s208,plain,
    ( ~ spl0_25
    | ~ spl0_32
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s227,plain,
    ( ~ spl0_27
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1205]) ).

cnf(s229,plain,
    ( ~ spl0_25
    | ~ spl0_29
    | ~ spl0_45
    | ~ spl0_67
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s247,plain,
    ( ~ spl0_29
    | spl0_133
    | ~ spl0_135
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s248,plain,
    ( ~ spl0_29
    | ~ spl0_30
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s254,plain,
    ( ~ spl0_34
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1327]) ).

cnf(s256,plain,
    ( ~ spl0_43
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1352]) ).

cnf(s257,plain,
    ( ~ spl0_29
    | ~ spl0_44
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1364]) ).

cnf(s262,plain,
    ( ~ spl0_46
    | ~ spl0_48
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s269,plain,
    ( ~ spl0_25
    | ~ spl0_51
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s313,plain,
    ( ~ spl0_57
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1639]) ).

cnf(s331,plain,
    ( spl0_25
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s334,plain,
    ( ~ spl0_38
    | ~ spl0_47
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s340,plain,
    ( ~ spl0_29
    | ~ spl0_68
    | ~ spl0_69
    | spl0_157 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s377,plain,
    ( ~ spl0_28
    | ~ spl0_34
    | ~ spl0_99
    | spl0_154 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s413,plain,
    ( ~ spl0_45
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s417,plain,
    ( ~ spl0_29
    | spl0_121
    | ~ spl0_123
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s452,plain,
    ( ~ spl0_50
    | spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s459,plain,
    ( ~ spl0_41
    | ~ spl0_49
    | spl0_136
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f2140]) ).

cnf(s483,plain,
    ( ~ spl0_29
    | ~ spl0_45
    | spl0_139
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2190]) ).

cnf(s492,plain,
    ( ~ spl0_49
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2234]) ).

cnf(s496,plain,
    ( ~ spl0_46
    | ~ spl0_51
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2260]) ).

cnf(s505,plain,
    ( ~ spl0_36
    | spl0_97
    | ~ spl0_98
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s532,plain,
    ( ~ spl0_32
    | spl0_85
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f2318]) ).

cnf(s545,plain,
    ( ~ spl0_30
    | spl0_94
    | ~ spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s559,plain,
    ( ~ spl0_46
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s573,plain,
    ( ~ spl0_30
    | ~ spl0_46
    | spl0_127
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2391]) ).

cnf(s582,plain,
    ( ~ spl0_33
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2405]) ).

cnf(s591,plain,
    ( ~ spl0_38
    | spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f2417]) ).

cnf(s594,plain,
    ( ~ spl0_41
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f2424]) ).

cnf(s599,plain,
    ( ~ spl0_45
    | spl0_151
    | ~ spl0_153
    | spl0_160 ),
    inference(sat_conversion,[],[f2435]) ).

cnf(s615,plain,
    ( ~ spl0_41
    | spl0_97
    | ~ spl0_98
    | spl0_154 ),
    inference(sat_conversion,[],[f2445]) ).

cnf(s625,plain,
    ( ~ spl0_45
    | spl0_97
    | ~ spl0_99
    | spl0_154 ),
    inference(sat_conversion,[],[f2449]) ).

cnf(s639,plain,
    ( ~ spl0_41
    | ~ spl0_48
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f2487]) ).

cnf(s644,plain,
    ( ~ spl0_33
    | ~ spl0_37
    | ~ spl0_45
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2520]) ).

cnf(s668,plain,
    ( ~ spl0_53
    | ~ spl0_134
    | ~ spl0_135
    | spl0_158 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s701,plain,
    ( ~ spl0_53
    | ~ spl0_58
    | spl0_108
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2722]) ).

cnf(s721,plain,
    ( ~ spl0_53
    | ~ spl0_58
    | spl0_77
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f2776]) ).

cnf(s731,plain,
    ( ~ spl0_50
    | spl0_151
    | spl0_152
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2785]) ).

cnf(s748,plain,
    ( ~ spl0_53
    | ~ spl0_58
    | ~ spl0_123
    | spl0_167 ),
    inference(sat_conversion,[],[f2809]) ).

cnf(s808,plain,
    ( ~ spl0_29
    | ~ spl0_45
    | ~ spl0_59
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f2907]) ).

cnf(s838,plain,
    ( ~ spl0_45
    | spl0_104
    | ~ spl0_105
    | spl0_159 ),
    inference(sat_conversion,[],[f2937]) ).

cnf(s839,plain,
    ( ~ spl0_38
    | ~ spl0_47
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f2938]) ).

cnf(s897,plain,
    ( ~ spl0_48
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f3023]) ).

cnf(s902,plain,
    ( ~ spl0_48
    | spl0_103
    | spl0_104
    | spl0_159 ),
    inference(sat_conversion,[],[f3029]) ).

cnf(s907,plain,
    ( ~ spl0_59
    | spl0_76
    | spl0_77
    | spl0_155 ),
    inference(sat_conversion,[],[f3090]) ).

cnf(s921,plain,
    ( ~ spl0_59
    | spl0_106
    | spl0_107
    | spl0_108 ),
    inference(sat_conversion,[],[f3106]) ).

cnf(s926,plain,
    ( ~ spl0_48
    | spl0_106
    | spl0_107
    | spl0_161 ),
    inference(sat_conversion,[],[f3113]) ).

cnf(s928,plain,
    ( ~ spl0_51
    | spl0_130
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f3114]) ).

cnf(s937,plain,
    ( ~ spl0_28
    | spl0_139
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3169]) ).

cnf(s951,plain,
    ( ~ spl0_37
    | spl0_104
    | ~ spl0_105
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3186]) ).

cnf(s960,plain,
    ( ~ spl0_53
    | spl0_77
    | ~ spl0_78
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3199]) ).

cnf(s991,plain,
    ( ~ spl0_30
    | ~ spl0_43
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f3229]) ).

cnf(s992,plain,
    ( ~ spl0_17
    | ~ spl0_29 ),
    inference(rat,[],[s202,s145,s146,s147]) ).

cnf(s993,plain,
    ( ~ spl0_28
    | ~ spl0_14
    | ~ spl0_3 ),
    inference(rat,[],[s38,s625,s377,s505,s32,s204,s124,s545,s121,s122,s123,s591,s125,s126,s127]) ).

cnf(s994,plain,
    ( ~ spl0_29
    | ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s256,s340,s85,s86,s87,s40,s36,s262,s639,s47,s993,s101,s102,s31,s591,s582,s125,s126,s127,s149,s150,s151,s9,s10,s992,s124,s1,s532,s109,s110,s111,s4,s134,s133]) ).

cnf(s995,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_24
    | spl0_2 ),
    inference(rat,[],[s413,s193,s194,s195,s30,s38,s591,s254,s125,s126,s127,s197,s198,s199,s18,s17]) ).

cnf(s996,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s668,s247,s53,s173,s174,s175,s993,s3,s9,s994,s992,s995,s545,s121,s122,s123,s124,s1]) ).

cnf(s997,plain,
    ( ~ spl0_16
    | ~ spl0_45
    | ~ spl0_29 ),
    inference(rat,[],[s483,s181,s183]) ).

cnf(s998,plain,
    ( spl0_38
    | spl0_41
    | ~ spl0_49
    | ~ spl0_51
    | ~ spl0_37
    | spl0_16
    | ~ spl0_24 ),
    inference(rat,[],[s269,s170,s171,s331,s29,s36]) ).

cnf(s999,plain,
    ( ~ spl0_5
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(rat,[],[s839,s134,s135]) ).

cnf(s1000,plain,
    ( ~ spl0_29
    | spl0_14
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s492,s173,s174,s175,s3,s999,s998,s45,s459,s48,s452,s157,s158,s159,s66,s67,s65,s808,s897,s117,s118,s119,s8,s997,s37,s582,s257,s177,s179,s149,s150,s151,s58,s10,s992,s168,s313,s165,s166,s167,s996]) ).

cnf(s1001,plain,
    ( ~ spl0_15
    | ~ spl0_48 ),
    inference(rat,[],[s897,s117,s118,s119]) ).

cnf(s1002,plain,
    ( ~ spl0_5
    | ~ spl0_38
    | spl0_15
    | ~ spl0_45
    | ~ spl0_24 ),
    inference(rat,[],[s951,s43,s838,s999,s134,s135]) ).

cnf(s1003,plain,
    ( spl0_59
    | spl0_15
    | ~ spl0_45
    | spl0_152
    | ~ spl0_153
    | ~ spl0_2 ),
    inference(rat,[],[s928,s169,s170,s171,s66,s24,s644,s67,s168,s313,s165,s166,s167]) ).

cnf(s1004,plain,
    ( spl0_5
    | ~ spl0_59
    | spl0_28
    | ~ spl0_24 ),
    inference(rat,[],[s907,s960,s97,s98,s99,s15,s53]) ).

cnf(s1005,plain,
    ( spl0_14
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s413,s193,s194,s195,s30,s1002,s1004,s1003,s937,s181,s182,s183,s8,s1001,s48,s731,s599,s38,s492,s254,s173,s174,s175,s197,s198,s199,s16,s17,s1000,s168,s996]) ).

cnf(s1006,plain,
    ( ~ spl0_154
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(rat,[],[s32,s505,s203,s591,s125,s126,s127]) ).

cnf(s1007,plain,
    ( ~ spl0_29
    | ~ spl0_43
    | ~ spl0_48
    | spl0_28
    | ~ spl0_24 ),
    inference(rat,[],[s256,s340,s85,s86,s87,s40,s262,s133,s134,s1004,s66,s928,s169,s170,s171,s24,s582,s149,s150,s151,s10,s992,s1001]) ).

cnf(s1008,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s254,s197,s198,s199,s17,s1007,s36,s38,s615,s625,s1006,s47,s591,s993,s125,s126,s127,s1005,s545,s121,s122,s123,s168,s996]) ).

cnf(s1010,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(rat,[],[s248,s149,s150,s151,s10,s992]) ).

cnf(s1011,plain,
    ( ~ spl0_16
    | ~ spl0_28 ),
    inference(rat,[],[s937,s181,s182,s183]) ).

cnf(s1012,plain,
    ( ~ spl0_14
    | ~ spl0_38 ),
    inference(rat,[],[s591,s125,s126,s127]) ).

cnf(s1013,plain,
    ( ~ spl0_5
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(rat,[],[s902,s951,s133,s134,s135]) ).

cnf(s1014,plain,
    ( ~ spl0_38
    | spl0_1 ),
    inference(rat,[],[s721,s98,s99,s15,s53,s1013,s43,s61,s334,s991,s194,s195,s89,s90,s34,s1011,s20,s594,s8,s1010,s573,s129,s130,s131,s1001,s1005,s7,s46,s1012,s168,s167,s165,s996,s1008]) ).

cnf(s1015,plain,
    ( spl0_14
    | spl0_1 ),
    inference(rat,[],[s991,s89,s90,s36,s20,s594,s1010,s129,s130,s131,s1005,s7,s168,s996,s1008,s1014]) ).

cnf(s1016,plain,
    ( spl0_29
    | spl0_1 ),
    inference(rat,[],[s38,s991,s254,s89,s90,s197,s198,s199,s20,s17,s1008,s625,s127,s36,s615,s1006,s126,s125,s1015,s168,s996,s1014]) ).

cnf(s1017,plain,
    spl0_1,
    inference(rat,[],[s1007,s47,s377,s38,s1010,s1016,s36,s615,s625,s1006,s125,s126,s127,s1015,s1014,s168,s996]) ).

cnf(s1018,plain,
    spl0_24,
    inference(rat,[],[s140,s1017]) ).

cnf(s1019,plain,
    ~ spl0_108,
    inference(rat,[],[s139,s1017]) ).

cnf(s1020,plain,
    ~ spl0_107,
    inference(rat,[],[s138,s1017]) ).

cnf(s1021,plain,
    ~ spl0_106,
    inference(rat,[],[s137,s1017]) ).

cnf(s1022,plain,
    ~ spl0_59,
    inference(rat,[],[s921,s1019,s1020,s1021]) ).

cnf(s1023,plain,
    ( ~ spl0_21
    | ~ spl0_43
    | ~ spl0_30 ),
    inference(rat,[],[s991,s89,s90]) ).

cnf(s1024,plain,
    ( ~ spl0_3
    | ~ spl0_30 ),
    inference(rat,[],[s545,s121,s122,s123]) ).

cnf(s1025,plain,
    ( ~ spl0_30
    | spl0_29
    | spl0_14 ),
    inference(rat,[],[s53,s701,s1011,s61,s8,s1023,s926,s1013,s1001,s20,s46,s1024,s573,s67,s313,s165,s166,s167,s18,s1018,s1019,s1020,s1021,s1022]) ).

cnf(s1026,plain,
    ( spl0_29
    | spl0_14 ),
    inference(rat,[],[s48,s731,s1001,s599,s1003,s38,s1025,s492,s254,s173,s174,s175,s197,s198,s199,s18,s16,s17,s1018,s1022]) ).

cnf(s1027,plain,
    ( ~ spl0_22
    | ~ spl0_25
    | spl0_14 ),
    inference(rat,[],[s229,s85,s87,s37,s257,s150,s151,s10,s992,s1026,s1018]) ).

cnf(s1028,plain,
    ( ~ spl0_25
    | spl0_14 ),
    inference(rat,[],[s269,s170,s171,s23,s208,s110,s111,s12,s1027,s66,s582,s149,s997,s37,s257,s150,s151,s10,s992,s1026,s1018,s1022]) ).

cnf(s1030,plain,
    ( spl0_46
    | spl0_14 ),
    inference(rat,[],[s54,s227,s748,s85,s86,s87,s61,s40,s582,s149,s417,s331,s1028,s48,s1001,s8,s997,s37,s257,s150,s151,s10,s452,s157,s158,s159,s65,s1010,s67,s313,s165,s166,s167,s9,s992,s1026,s1018,s1022]) ).

cnf(s1032,plain,
    ( ~ spl0_31
    | ~ spl0_51 ),
    inference(rat,[],[s928,s169,s170,s171]) ).

cnf(s1033,plain,
    ( ~ spl0_7
    | ~ spl0_32 ),
    inference(rat,[],[s532,s109,s110,s111]) ).

cnf(s1034,plain,
    spl0_14,
    inference(rat,[],[s559,s113,s114,s115,s35,s1033,s23,s1032,s1030,s459,s48,s1001,s8,s177,s179,s997,s58,s66,s37,s452,s313,s582,s257,s157,s158,s159,s165,s166,s167,s149,s150,s151,s65,s9,s10,s1010,s992,s1026,s1018,s1022]) ).

cnf(s1035,plain,
    spl0_99,
    inference(rat,[],[s127,s1034]) ).

cnf(s1036,plain,
    spl0_98,
    inference(rat,[],[s126,s1034]) ).

cnf(s1037,plain,
    ~ spl0_97,
    inference(rat,[],[s125,s1034]) ).

cnf(s1038,plain,
    ~ spl0_154,
    inference(rat,[],[s1006,s1018,s1034]) ).

cnf(s1039,plain,
    ~ spl0_38,
    inference(rat,[],[s1012,s1034]) ).

cnf(s1040,plain,
    ~ spl0_45,
    inference(rat,[],[s625,s1037,s1035,s1038]) ).

cnf(s1041,plain,
    ~ spl0_41,
    inference(rat,[],[s615,s1037,s1036,s1038]) ).

cnf(s1042,plain,
    spl0_43,
    inference(rat,[],[s36,s1039,s1018,s1041]) ).

cnf(s1043,plain,
    ~ spl0_29,
    inference(rat,[],[s256,s340,s85,s86,s87,s40,s496,s153,s154,s155,s66,s22,s582,s377,s149,s150,s151,s38,s10,s1010,s992,s1042,s1018,s1022,s1038,s1035,s1040]) ).

cnf(s1044,plain,
    spl0_9,
    inference(rat,[],[s17,s1018,s1043]) ).

cnf(s1047,plain,
    spl0_153,
    inference(rat,[],[s199,s1044]) ).

cnf(s1048,plain,
    ~ spl0_152,
    inference(rat,[],[s198,s1044]) ).

cnf(s1049,plain,
    ~ spl0_151,
    inference(rat,[],[s197,s1044]) ).

cnf(s1056,plain,
    ~ spl0_34,
    inference(rat,[],[s254,s1047,s1048,s1049]) ).

cnf(s1058,plain,
    spl0_30,
    inference(rat,[],[s38,s1040,s1018,s1056]) ).

cnf(s1059,plain,
    ~ spl0_3,
    inference(rat,[],[s1024,s1058]) ).

cnf(s1060,plain,
    ~ spl0_21,
    inference(rat,[],[s1023,s1042,s1058]) ).

cnf(s1061,plain,
    $false,
    inference(rat,[],[s20,s1043,s1018,s1059,s1060]) ).

fof(f3230,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1061]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN501+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n020.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:18:49 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.78/0.69  % (281493)Detected formulas, will run a generic FOF schedule.
% 1.78/0.69  % (281503)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=129595552:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.78/0.69  % (281503)First to succeed.
% 1.78/0.69  % (281503)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-281493"
% 1.78/0.69  % (281502)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1076401492:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.78/0.69  % (281498)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2165789076:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.78/0.69  % (281501)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4106840307:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.78/0.69  % (281504)dis-21_1_sil=8000:lcm=predicate:random_seed=3336267662:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.78/0.69  % (281499)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4042636012:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.78/0.69  % (281500)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1558970902:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.78/0.69  % (281504)Also succeeded, but the first one will report.
% 1.78/0.69  % (281502)Instruction limit reached! 
% 1.78/0.69  % (281502)------------------------------
% 1.78/0.69  % (281502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.69  % (281502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.69  % (281502)CaDiCaL version: 2.1.3
% 1.78/0.69  % (281502)Termination reason: Instruction limit
% 1.78/0.69  % (281502)Termination phase: Saturation
% 1.78/0.69  % (281502)Time elapsed: 0.059 s
% 1.78/0.69  % (281502)Peak memory usage: 88 MB
% 1.78/0.69  % (281502)Instructions burned: 120 (million)
% 1.78/0.69  % (281501)Instruction limit reached! 
% 1.78/0.69  % (281501)------------------------------
% 1.78/0.69  % (281501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.69  % (281501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.69  % (281501)CaDiCaL version: 2.1.3
% 1.78/0.69  % (281501)Termination reason: Instruction limit
% 1.78/0.69  % (281501)Termination phase: Saturation
% 1.78/0.69  % (281501)Time elapsed: 0.070 s
% 1.78/0.69  % (281501)Peak memory usage: 91 MB
% 1.78/0.69  % (281501)Instructions burned: 110 (million)
% 1.78/0.69  % (281503)Refutation found. Thanks to Tanya!
% 1.78/0.69  % SZS status Theorem for theBenchmark
% 1.78/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.78  % (281503)------------------------------
% 2.30/0.78  % (281503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.78  % (281503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.78  % (281503)CaDiCaL version: 2.1.3
% 2.30/0.78  % (281503)Termination reason: Refutation
% 2.30/0.78  % (281503)Time elapsed: 0.028 s
% 2.30/0.78  % (281503)Peak memory usage: 91 MB
% 2.30/0.78  % (281503)Instructions burned: 81 (million)
% 2.30/0.78  % (281503)------------------------------
% 2.30/0.78  % (281503)------------------------------
% 2.30/0.78  % (281493)Success in time 0.291 s
% 2.30/0.78  % Vampire exiting
%------------------------------------------------------------------------------