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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN460+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 : n005.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 01:52:44 PM UTC 2026

% Result   : Theorem 3.37s 1.13s
% Output   : Refutation 4.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :  206
% Syntax   : Number of formulae    : 1252 (  33 unt; 205 def)
%            Number of atoms       : 7877 (   0 equ)
%            Maximal formula atoms :  786 (   6 avg)
%            Number of connectives : 10389 (3764   ~;4633   |;1475   &)
%                                         ( 205 <=>; 312  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  126 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  270 ( 269 usr; 266 prp; 0-1 aty)
%            Number of functors    :   59 (  59 usr;  59 con; 0-0 aty)
%            Number of variables   :  746 (   0 sgn 746   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a2181)
          & ~ c1_1(a2181)
          & ~ c2_1(a2181) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c3_1(a2182)
          & ~ c0_1(a2182)
          & ~ c2_1(a2182) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a2187)
          & c1_1(a2187)
          & ~ c2_1(a2187) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a2190)
          & ~ c1_1(a2190)
          & ~ c0_1(a2190) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a2191)
          & ~ c2_1(a2191)
          & ~ c1_1(a2191) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a2192)
          & c1_1(a2192)
          & ~ c3_1(a2192) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a2197)
          & ~ c3_1(a2197)
          & ~ c1_1(a2197) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2198)
          & c0_1(a2198)
          & ~ c3_1(a2198) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c2_1(a2202)
          & ~ c1_1(a2202)
          & ~ c0_1(a2202) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c1_1(a2203)
          & c0_1(a2203)
          & ~ c3_1(a2203) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c2_1(a2206)
          & ~ c0_1(a2206)
          & ~ c3_1(a2206) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a2209)
          & ~ c1_1(a2209)
          & ~ c2_1(a2209) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a2211)
          & ~ c1_1(a2211)
          & ~ c3_1(a2211) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a2212)
          & c2_1(a2212)
          & ~ c3_1(a2212) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c1_1(a2213)
          & c2_1(a2213)
          & ~ c0_1(a2213) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c3_1(a2217)
          & c1_1(a2217)
          & ~ c0_1(a2217) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c2_1(a2220)
          & ~ c1_1(a2220)
          & ~ c3_1(a2220) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a2221)
          & c2_1(a2221)
          & ~ c3_1(a2221) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a2222)
          & c3_1(a2222)
          & ~ c2_1(a2222) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a2233)
          & ~ c1_1(a2233)
          & ~ c3_1(a2233) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a2237)
          & c0_1(a2237)
          & ~ c3_1(a2237) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a2239)
          & ~ c0_1(a2239)
          & ~ c3_1(a2239) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a2244)
          & ~ c2_1(a2244)
          & ~ c1_1(a2244) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a2245)
          & c0_1(a2245)
          & ~ c1_1(a2245) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2246)
          & ~ c0_1(a2246)
          & ~ c3_1(a2246) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a2249)
          & c2_1(a2249)
          & ~ c0_1(a2249) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c3_1(a2178)
          & c0_1(a2178)
          & c2_1(a2178) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c1_1(a2179)
          & ~ c2_1(a2179)
          & c0_1(a2179) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c3_1(a2180)
          & c1_1(a2180)
          & c2_1(a2180) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ c0_1(a2183)
          & c2_1(a2183)
          & c3_1(a2183) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ~ c3_1(a2184)
          & ~ c1_1(a2184)
          & c0_1(a2184) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c1_1(a2185)
          & ~ c2_1(a2185)
          & c3_1(a2185) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ~ c3_1(a2186)
          & ~ c2_1(a2186)
          & c0_1(a2186) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ~ c3_1(a2188)
          & ~ c2_1(a2188)
          & c1_1(a2188) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ~ c0_1(a2189)
          & c1_1(a2189)
          & c3_1(a2189) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & c2_1(a2193)
          & ~ c0_1(a2193)
          & c3_1(a2193) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & c3_1(a2194)
          & ~ c2_1(a2194)
          & c1_1(a2194) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & c1_1(a2196)
          & ~ c0_1(a2196)
          & c2_1(a2196) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & ~ c0_1(a2200)
          & ~ c2_1(a2200)
          & c1_1(a2200) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ~ c1_1(a2201)
          & ~ c0_1(a2201)
          & c3_1(a2201) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & c2_1(a2204)
          & ~ c1_1(a2204)
          & c3_1(a2204) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & c2_1(a2205)
          & ~ c0_1(a2205)
          & c1_1(a2205) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & c1_1(a2207)
          & ~ c3_1(a2207)
          & c0_1(a2207) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ~ c2_1(a2208)
          & c3_1(a2208)
          & c0_1(a2208) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ~ c0_1(a2215)
          & c2_1(a2215)
          & c1_1(a2215) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & c2_1(a2216)
          & c3_1(a2216)
          & c0_1(a2216) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & c0_1(a2218)
          & ~ c3_1(a2218)
          & c2_1(a2218) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & c2_1(a2226)
          & ~ c1_1(a2226)
          & c0_1(a2226) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ c0_1(a2228)
          & c3_1(a2228)
          & c2_1(a2228) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & c0_1(a2229)
          & ~ c1_1(a2229)
          & c3_1(a2229) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ c3_1(a2231)
          & c2_1(a2231)
          & c1_1(a2231) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & c0_1(a2232)
          & c3_1(a2232)
          & c2_1(a2232) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & c1_1(a2234)
          & c3_1(a2234)
          & c2_1(a2234) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & c0_1(a2235)
          & c2_1(a2235)
          & c3_1(a2235) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & c1_1(a2240)
          & c3_1(a2240)
          & c0_1(a2240) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & c1_1(a2241)
          & c0_1(a2241)
          & c2_1(a2241) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ~ c1_1(a2242)
          & ~ c3_1(a2242)
          & c2_1(a2242) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & c1_1(a2243)
          & c0_1(a2243)
          & c3_1(a2243) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ c2_1(a2252)
          & ~ c1_1(a2252)
          & c0_1(a2252) ) )
      & ( hskp26
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | ~ c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | ~ c3_1(X1)
              | c0_1(X1) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | hskp27
        | hskp28 )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | ~ c0_1(X3)
              | ~ c1_1(X3) ) )
        | hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c2_1(X4)
              | ~ c1_1(X4) ) ) )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c0_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp29
        | hskp30
        | hskp31 )
      & ( hskp32
        | hskp2
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp33
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | hskp34 )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c0_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | ~ c3_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c2_1(X11)
              | c3_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c2_1(X12)
              | c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp3 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | ~ c1_1(X15)
              | c3_1(X15) ) )
        | hskp4 )
      & ( hskp5
        | hskp35
        | hskp36 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | c0_1(X16)
              | c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c3_1(X18)
              | c2_1(X18) ) ) )
      & ( hskp34
        | hskp37
        | hskp6 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | c3_1(X19)
              | ~ c0_1(X19) ) )
        | hskp7
        | hskp37 )
      & ( hskp38
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | ~ c1_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | ~ c1_1(X22) ) )
        | hskp39
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c0_1(X23)
              | ~ c2_1(X23) ) ) )
      & ( hskp8
        | hskp9
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | c1_1(X24)
              | ~ c0_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | ~ c0_1(X25)
              | c1_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | c3_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | ~ c2_1(X27)
              | c1_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | c3_1(X28)
              | ~ c0_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c2_1(X29) ) )
        | hskp40 )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) )
        | hskp41
        | hskp10 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c1_1(X31)
              | c0_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | ~ c1_1(X32)
              | c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c3_1(X33)
              | ~ c1_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c3_1(X34)
              | c0_1(X34) ) )
        | hskp42
        | hskp43 )
      & ( hskp11
        | hskp3
        | hskp12 )
      & ( hskp13
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c1_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | c3_1(X36)
              | c1_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c2_1(X37)
              | c0_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | ~ c3_1(X38)
              | ~ c2_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c0_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( hskp14
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c3_1(X40)
              | c2_1(X40) ) )
        | hskp4 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c0_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c1_1(X43)
              | ~ c3_1(X43) ) ) )
      & ( hskp44
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c3_1(X45)
              | ~ c0_1(X45) ) ) )
      & ( hskp45
        | hskp15
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | c1_1(X47)
              | ~ c3_1(X47) ) )
        | hskp46
        | hskp34 )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | c3_1(X50) ) ) )
      & ( hskp16
        | hskp17
        | ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | c1_1(X51) ) ) )
      & ( hskp18
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c2_1(X52)
              | c3_1(X52) ) )
        | hskp31 )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | ~ c3_1(X53)
              | ~ c2_1(X53) ) )
        | hskp33
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | c3_1(X55) ) )
        | hskp33
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp47
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c0_1(X57)
              | c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | c3_1(X58) ) ) )
      & ( hskp18
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | ~ c1_1(X60)
              | c2_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c3_1(X61)
              | c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c0_1(X62)
              | ~ c1_1(X62) ) )
        | hskp48 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c1_1(X63)
              | ~ c3_1(X63) ) )
        | hskp49
        | hskp31 )
      & ( hskp50
        | hskp51
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c0_1(X64)
              | ~ c2_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c0_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) )
        | hskp19
        | hskp52 )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) )
        | hskp53
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) )
        | hskp10
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | ~ c3_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c1_1(X74)
              | ~ c0_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | ~ c0_1(X76) ) )
        | hskp10 )
      & ( hskp21
        | hskp54
        | hskp55 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | c2_1(X77) ) )
        | hskp56
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) ) )
      & ( hskp57
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | c0_1(X79)
              | c3_1(X79) ) )
        | hskp22 )
      & ( hskp23
        | hskp24
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp17
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | ~ c1_1(X81) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c0_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c0_1(X83)
              | c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c0_1(X86)
              | c1_1(X86)
              | c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c0_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c3_1(X89)
              | ~ c2_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp32
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c1_1(X91)
              | c2_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c1_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( c0_1(X93)
              | ~ c3_1(X93)
              | ~ c2_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | c0_1(X94)
              | c2_1(X94) ) )
        | hskp25 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp56
        | ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c2_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( c3_1(X97)
              | c2_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c0_1(X98)
              | c1_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c0_1(X99)
              | ~ c2_1(X99) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c3_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c0_1(X101) ) )
        | hskp40 )
      & ( hskp58
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | c2_1(X102)
              | c1_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | c1_1(X103)
              | c2_1(X103) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a2181)
            & ~ c1_1(a2181)
            & ~ c2_1(a2181) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c3_1(a2182)
            & ~ c0_1(a2182)
            & ~ c2_1(a2182) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a2187)
            & c1_1(a2187)
            & ~ c2_1(a2187) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a2190)
            & ~ c1_1(a2190)
            & ~ c0_1(a2190) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a2191)
            & ~ c2_1(a2191)
            & ~ c1_1(a2191) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a2192)
            & c1_1(a2192)
            & ~ c3_1(a2192) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a2197)
            & ~ c3_1(a2197)
            & ~ c1_1(a2197) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2198)
            & c0_1(a2198)
            & ~ c3_1(a2198) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c2_1(a2202)
            & ~ c1_1(a2202)
            & ~ c0_1(a2202) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c1_1(a2203)
            & c0_1(a2203)
            & ~ c3_1(a2203) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c2_1(a2206)
            & ~ c0_1(a2206)
            & ~ c3_1(a2206) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a2209)
            & ~ c1_1(a2209)
            & ~ c2_1(a2209) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a2211)
            & ~ c1_1(a2211)
            & ~ c3_1(a2211) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a2212)
            & c2_1(a2212)
            & ~ c3_1(a2212) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c1_1(a2213)
            & c2_1(a2213)
            & ~ c0_1(a2213) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c3_1(a2217)
            & c1_1(a2217)
            & ~ c0_1(a2217) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c2_1(a2220)
            & ~ c1_1(a2220)
            & ~ c3_1(a2220) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a2221)
            & c2_1(a2221)
            & ~ c3_1(a2221) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a2222)
            & c3_1(a2222)
            & ~ c2_1(a2222) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a2233)
            & ~ c1_1(a2233)
            & ~ c3_1(a2233) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a2237)
            & c0_1(a2237)
            & ~ c3_1(a2237) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a2239)
            & ~ c0_1(a2239)
            & ~ c3_1(a2239) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a2244)
            & ~ c2_1(a2244)
            & ~ c1_1(a2244) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a2245)
            & c0_1(a2245)
            & ~ c1_1(a2245) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2246)
            & ~ c0_1(a2246)
            & ~ c3_1(a2246) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a2249)
            & c2_1(a2249)
            & ~ c0_1(a2249) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c3_1(a2178)
            & c0_1(a2178)
            & c2_1(a2178) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c1_1(a2179)
            & ~ c2_1(a2179)
            & c0_1(a2179) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c3_1(a2180)
            & c1_1(a2180)
            & c2_1(a2180) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & ~ c0_1(a2183)
            & c2_1(a2183)
            & c3_1(a2183) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & ~ c3_1(a2184)
            & ~ c1_1(a2184)
            & c0_1(a2184) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c1_1(a2185)
            & ~ c2_1(a2185)
            & c3_1(a2185) ) )
        & ( ~ hskp32
          | ( ndr1_0
            & ~ c3_1(a2186)
            & ~ c2_1(a2186)
            & c0_1(a2186) ) )
        & ( ~ hskp33
          | ( ndr1_0
            & ~ c3_1(a2188)
            & ~ c2_1(a2188)
            & c1_1(a2188) ) )
        & ( ~ hskp34
          | ( ndr1_0
            & ~ c0_1(a2189)
            & c1_1(a2189)
            & c3_1(a2189) ) )
        & ( ~ hskp35
          | ( ndr1_0
            & c2_1(a2193)
            & ~ c0_1(a2193)
            & c3_1(a2193) ) )
        & ( ~ hskp36
          | ( ndr1_0
            & c3_1(a2194)
            & ~ c2_1(a2194)
            & c1_1(a2194) ) )
        & ( ~ hskp37
          | ( ndr1_0
            & c1_1(a2196)
            & ~ c0_1(a2196)
            & c2_1(a2196) ) )
        & ( ~ hskp38
          | ( ndr1_0
            & ~ c0_1(a2200)
            & ~ c2_1(a2200)
            & c1_1(a2200) ) )
        & ( ~ hskp39
          | ( ndr1_0
            & ~ c1_1(a2201)
            & ~ c0_1(a2201)
            & c3_1(a2201) ) )
        & ( ~ hskp40
          | ( ndr1_0
            & c2_1(a2204)
            & ~ c1_1(a2204)
            & c3_1(a2204) ) )
        & ( ~ hskp41
          | ( ndr1_0
            & c2_1(a2205)
            & ~ c0_1(a2205)
            & c1_1(a2205) ) )
        & ( ~ hskp42
          | ( ndr1_0
            & c1_1(a2207)
            & ~ c3_1(a2207)
            & c0_1(a2207) ) )
        & ( ~ hskp43
          | ( ndr1_0
            & ~ c2_1(a2208)
            & c3_1(a2208)
            & c0_1(a2208) ) )
        & ( ~ hskp44
          | ( ndr1_0
            & ~ c0_1(a2215)
            & c2_1(a2215)
            & c1_1(a2215) ) )
        & ( ~ hskp45
          | ( ndr1_0
            & c2_1(a2216)
            & c3_1(a2216)
            & c0_1(a2216) ) )
        & ( ~ hskp46
          | ( ndr1_0
            & c0_1(a2218)
            & ~ c3_1(a2218)
            & c2_1(a2218) ) )
        & ( ~ hskp47
          | ( ndr1_0
            & c2_1(a2226)
            & ~ c1_1(a2226)
            & c0_1(a2226) ) )
        & ( ~ hskp48
          | ( ndr1_0
            & ~ c0_1(a2228)
            & c3_1(a2228)
            & c2_1(a2228) ) )
        & ( ~ hskp49
          | ( ndr1_0
            & c0_1(a2229)
            & ~ c1_1(a2229)
            & c3_1(a2229) ) )
        & ( ~ hskp50
          | ( ndr1_0
            & ~ c3_1(a2231)
            & c2_1(a2231)
            & c1_1(a2231) ) )
        & ( ~ hskp51
          | ( ndr1_0
            & c0_1(a2232)
            & c3_1(a2232)
            & c2_1(a2232) ) )
        & ( ~ hskp52
          | ( ndr1_0
            & c1_1(a2234)
            & c3_1(a2234)
            & c2_1(a2234) ) )
        & ( ~ hskp53
          | ( ndr1_0
            & c0_1(a2235)
            & c2_1(a2235)
            & c3_1(a2235) ) )
        & ( ~ hskp54
          | ( ndr1_0
            & c1_1(a2240)
            & c3_1(a2240)
            & c0_1(a2240) ) )
        & ( ~ hskp55
          | ( ndr1_0
            & c1_1(a2241)
            & c0_1(a2241)
            & c2_1(a2241) ) )
        & ( ~ hskp56
          | ( ndr1_0
            & ~ c1_1(a2242)
            & ~ c3_1(a2242)
            & c2_1(a2242) ) )
        & ( ~ hskp57
          | ( ndr1_0
            & c1_1(a2243)
            & c0_1(a2243)
            & c3_1(a2243) ) )
        & ( ~ hskp58
          | ( ndr1_0
            & ~ c2_1(a2252)
            & ~ c1_1(a2252)
            & c0_1(a2252) ) )
        & ( hskp26
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | ~ c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c3_1(X1)
                | c0_1(X1) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | hskp27
          | hskp28 )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | ~ c1_1(X3) ) )
          | hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) ) )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c0_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp29
          | hskp30
          | hskp31 )
        & ( hskp32
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp33
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | hskp34 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c3_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c2_1(X11)
                | c3_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c1_1(X15)
                | c3_1(X15) ) )
          | hskp4 )
        & ( hskp5
          | hskp35
          | hskp36 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c0_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp34
          | hskp37
          | hskp6 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c3_1(X19)
                | ~ c0_1(X19) ) )
          | hskp7
          | hskp37 )
        & ( hskp38
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | ~ c1_1(X22) ) )
          | hskp39
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | ~ c2_1(X23) ) ) )
        & ( hskp8
          | hskp9
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c1_1(X24)
                | ~ c0_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c3_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c2_1(X29) ) )
          | hskp40 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) )
          | hskp41
          | hskp10 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c1_1(X31)
                | c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | ~ c1_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c3_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | c0_1(X34) ) )
          | hskp42
          | hskp43 )
        & ( hskp11
          | hskp3
          | hskp12 )
        & ( hskp13
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c1_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c2_1(X37)
                | c0_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c3_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( hskp14
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c2_1(X40) ) )
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c0_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c1_1(X43)
                | ~ c3_1(X43) ) ) )
        & ( hskp44
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c3_1(X45)
                | ~ c0_1(X45) ) ) )
        & ( hskp45
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c1_1(X47)
                | ~ c3_1(X47) ) )
          | hskp46
          | hskp34 )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | c3_1(X50) ) ) )
        & ( hskp16
          | hskp17
          | ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp18
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c2_1(X52)
                | c3_1(X52) ) )
          | hskp31 )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c3_1(X53)
                | ~ c2_1(X53) ) )
          | hskp33
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | hskp33
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp47
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c0_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | c3_1(X58) ) ) )
        & ( hskp18
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c1_1(X60)
                | c2_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c3_1(X61)
                | c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c0_1(X62)
                | ~ c1_1(X62) ) )
          | hskp48 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp49
          | hskp31 )
        & ( hskp50
          | hskp51
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | ~ c2_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c0_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) )
          | hskp19
          | hskp52 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) )
          | hskp53
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | hskp10
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c1_1(X74)
                | ~ c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | hskp10 )
        & ( hskp21
          | hskp54
          | hskp55 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | hskp56
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) ) )
        & ( hskp57
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c0_1(X79)
                | c3_1(X79) ) )
          | hskp22 )
        & ( hskp23
          | hskp24
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp17
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c0_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c0_1(X86)
                | c1_1(X86)
                | c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c0_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c3_1(X89)
                | ~ c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp32
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c1_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c1_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c0_1(X93)
                | ~ c3_1(X93)
                | ~ c2_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c0_1(X94)
                | c2_1(X94) ) )
          | hskp25 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp56
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c2_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c0_1(X98)
                | c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | ~ c2_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c3_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c0_1(X101) ) )
          | hskp40 )
        & ( hskp58
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c2_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c1_1(X103)
                | c2_1(X103) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2181)
        & ~ c1_1(a2181)
        & ~ c2_1(a2181) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a2182)
        & ~ c0_1(a2182)
        & ~ c2_1(a2182) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a2187)
        & c1_1(a2187)
        & ~ c2_1(a2187) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a2190)
        & ~ c1_1(a2190)
        & ~ c0_1(a2190) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a2191)
        & ~ c2_1(a2191)
        & ~ c1_1(a2191) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a2192)
        & c1_1(a2192)
        & ~ c3_1(a2192) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a2197)
        & ~ c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2198)
        & c0_1(a2198)
        & ~ c3_1(a2198) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a2202)
        & ~ c1_1(a2202)
        & ~ c0_1(a2202) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a2203)
        & c0_1(a2203)
        & ~ c3_1(a2203) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a2206)
        & ~ c0_1(a2206)
        & ~ c3_1(a2206) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2209)
        & ~ c1_1(a2209)
        & ~ c2_1(a2209) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a2211)
        & ~ c1_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2212)
        & c2_1(a2212)
        & ~ c3_1(a2212) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a2213)
        & c2_1(a2213)
        & ~ c0_1(a2213) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c3_1(a2217)
        & c1_1(a2217)
        & ~ c0_1(a2217) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c2_1(a2220)
        & ~ c1_1(a2220)
        & ~ c3_1(a2220) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a2221)
        & c2_1(a2221)
        & ~ c3_1(a2221) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2222)
        & c3_1(a2222)
        & ~ c2_1(a2222) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2233)
        & ~ c1_1(a2233)
        & ~ c3_1(a2233) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a2237)
        & c0_1(a2237)
        & ~ c3_1(a2237) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a2239)
        & ~ c0_1(a2239)
        & ~ c3_1(a2239) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a2244)
        & ~ c2_1(a2244)
        & ~ c1_1(a2244) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a2245)
        & c0_1(a2245)
        & ~ c1_1(a2245) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2246)
        & ~ c0_1(a2246)
        & ~ c3_1(a2246) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a2249)
        & c2_1(a2249)
        & ~ c0_1(a2249) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a2178)
        & c0_1(a2178)
        & c2_1(a2178) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a2179)
        & ~ c2_1(a2179)
        & c0_1(a2179) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c3_1(a2180)
        & c1_1(a2180)
        & c2_1(a2180) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c0_1(a2183)
        & c2_1(a2183)
        & c3_1(a2183) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c3_1(a2184)
        & ~ c1_1(a2184)
        & c0_1(a2184) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c1_1(a2185)
        & ~ c2_1(a2185)
        & c3_1(a2185) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ c3_1(a2186)
        & ~ c2_1(a2186)
        & c0_1(a2186) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ c3_1(a2188)
        & ~ c2_1(a2188)
        & c1_1(a2188) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c0_1(a2189)
        & c1_1(a2189)
        & c3_1(a2189) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c2_1(a2193)
        & ~ c0_1(a2193)
        & c3_1(a2193) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c3_1(a2194)
        & ~ c2_1(a2194)
        & c1_1(a2194) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c1_1(a2196)
        & ~ c0_1(a2196)
        & c2_1(a2196) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ~ c0_1(a2200)
        & ~ c2_1(a2200)
        & c1_1(a2200) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a2201)
        & ~ c0_1(a2201)
        & c3_1(a2201) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c2_1(a2204)
        & ~ c1_1(a2204)
        & c3_1(a2204) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c2_1(a2205)
        & ~ c0_1(a2205)
        & c1_1(a2205) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & c1_1(a2207)
        & ~ c3_1(a2207)
        & c0_1(a2207) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c2_1(a2208)
        & c3_1(a2208)
        & c0_1(a2208) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ c0_1(a2215)
        & c2_1(a2215)
        & c1_1(a2215) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & c2_1(a2216)
        & c3_1(a2216)
        & c0_1(a2216) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & c0_1(a2218)
        & ~ c3_1(a2218)
        & c2_1(a2218) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & c2_1(a2226)
        & ~ c1_1(a2226)
        & c0_1(a2226) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c0_1(a2228)
        & c3_1(a2228)
        & c2_1(a2228) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & c0_1(a2229)
        & ~ c1_1(a2229)
        & c3_1(a2229) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a2231)
        & c2_1(a2231)
        & c1_1(a2231) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c0_1(a2232)
        & c3_1(a2232)
        & c2_1(a2232) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c1_1(a2234)
        & c3_1(a2234)
        & c2_1(a2234) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c0_1(a2235)
        & c2_1(a2235)
        & c3_1(a2235) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c1_1(a2240)
        & c3_1(a2240)
        & c0_1(a2240) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & c1_1(a2241)
        & c0_1(a2241)
        & c2_1(a2241) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c1_1(a2242)
        & ~ c3_1(a2242)
        & c2_1(a2242) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c1_1(a2243)
        & c0_1(a2243)
        & c3_1(a2243) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c2_1(a2252)
        & ~ c1_1(a2252)
        & c0_1(a2252) ) )
    & ( hskp26
      | ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | ~ c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | ~ c3_1(X1)
            | c0_1(X1) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | hskp27
      | hskp28 )
    & ( ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | ~ c1_1(X3) ) )
      | hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) ) )
    & ( hskp1
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | c0_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp29
      | hskp30
      | hskp31 )
    & ( hskp32
      | hskp2
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp33
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | hskp34 )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | ~ c3_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c2_1(X11)
            | c3_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | c1_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | hskp3 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c1_1(X15)
            | c3_1(X15) ) )
      | hskp4 )
    & ( hskp5
      | hskp35
      | hskp36 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | c0_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c2_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp34
      | hskp37
      | hskp6 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | c3_1(X19)
            | ~ c0_1(X19) ) )
      | hskp7
      | hskp37 )
    & ( hskp38
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | ~ c1_1(X20)
            | ~ c0_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c2_1(X22)
            | ~ c1_1(X22) ) )
      | hskp39
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | ~ c2_1(X23) ) ) )
    & ( hskp8
      | hskp9
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | c1_1(X24)
            | ~ c0_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | c3_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c1_1(X29)
            | c2_1(X29) ) )
      | hskp40 )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c0_1(X30) ) )
      | hskp41
      | hskp10 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | ~ c1_1(X31)
            | c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | ~ c1_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c3_1(X33)
            | ~ c1_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c3_1(X34)
            | c0_1(X34) ) )
      | hskp42
      | hskp43 )
    & ( hskp11
      | hskp3
      | hskp12 )
    & ( hskp13
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c1_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c2_1(X37)
            | c0_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | ~ c3_1(X38)
            | ~ c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c0_1(X39)
            | ~ c1_1(X39) ) ) )
    & ( hskp14
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c2_1(X40) ) )
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c0_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c1_1(X43)
            | ~ c3_1(X43) ) ) )
    & ( hskp44
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c3_1(X45)
            | ~ c0_1(X45) ) ) )
    & ( hskp45
      | hskp15
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c1_1(X47)
            | ~ c3_1(X47) ) )
      | hskp46
      | hskp34 )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | c3_1(X50) ) ) )
    & ( hskp16
      | hskp17
      | ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp18
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c2_1(X52)
            | c3_1(X52) ) )
      | hskp31 )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c3_1(X53)
            | ~ c2_1(X53) ) )
      | hskp33
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c0_1(X55)
            | c3_1(X55) ) )
      | hskp33
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp47
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c0_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | c3_1(X58) ) ) )
    & ( hskp18
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | ~ c1_1(X60)
            | c2_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c3_1(X61)
            | c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c0_1(X62)
            | ~ c1_1(X62) ) )
      | hskp48 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c1_1(X63)
            | ~ c3_1(X63) ) )
      | hskp49
      | hskp31 )
    & ( hskp50
      | hskp51
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c0_1(X64)
            | ~ c2_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c0_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | ~ c2_1(X68)
            | c0_1(X68) ) )
      | hskp19
      | hskp52 )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c1_1(X69) ) )
      | hskp53
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) )
      | hskp10
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c3_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp20
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c3_1(X73)
            | ~ c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c1_1(X74)
            | ~ c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | hskp10 )
    & ( hskp21
      | hskp54
      | hskp55 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | c2_1(X77) ) )
      | hskp56
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) ) )
    & ( hskp57
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c0_1(X79)
            | c3_1(X79) ) )
      | hskp22 )
    & ( hskp23
      | hskp24
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | ~ c3_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp17
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | ~ c1_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c0_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | c2_1(X83)
            | ~ c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c0_1(X86)
            | c1_1(X86)
            | c3_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c0_1(X88)
            | ~ c2_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c3_1(X89)
            | ~ c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp32
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c1_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c1_1(X92)
            | ~ c3_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( c0_1(X93)
            | ~ c3_1(X93)
            | ~ c2_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c0_1(X94)
            | c2_1(X94) ) )
      | hskp25 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp56
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | ~ c2_1(X96)
            | ~ c0_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c0_1(X98)
            | c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c0_1(X99)
            | ~ c2_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c3_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | c0_1(X101) ) )
      | hskp40 )
    & ( hskp58
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c2_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c1_1(X103)
            | c2_1(X103) ) ) ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2181)
        & ~ c1_1(a2181)
        & ~ c2_1(a2181) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a2182)
        & ~ c0_1(a2182)
        & ~ c2_1(a2182) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a2187)
        & c1_1(a2187)
        & ~ c2_1(a2187) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a2190)
        & ~ c1_1(a2190)
        & ~ c0_1(a2190) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a2191)
        & ~ c2_1(a2191)
        & ~ c1_1(a2191) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a2192)
        & c1_1(a2192)
        & ~ c3_1(a2192) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a2197)
        & ~ c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2198)
        & c0_1(a2198)
        & ~ c3_1(a2198) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a2202)
        & ~ c1_1(a2202)
        & ~ c0_1(a2202) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a2203)
        & c0_1(a2203)
        & ~ c3_1(a2203) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a2206)
        & ~ c0_1(a2206)
        & ~ c3_1(a2206) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2209)
        & ~ c1_1(a2209)
        & ~ c2_1(a2209) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a2211)
        & ~ c1_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2212)
        & c2_1(a2212)
        & ~ c3_1(a2212) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a2213)
        & c2_1(a2213)
        & ~ c0_1(a2213) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c3_1(a2217)
        & c1_1(a2217)
        & ~ c0_1(a2217) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c2_1(a2220)
        & ~ c1_1(a2220)
        & ~ c3_1(a2220) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a2221)
        & c2_1(a2221)
        & ~ c3_1(a2221) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2222)
        & c3_1(a2222)
        & ~ c2_1(a2222) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2233)
        & ~ c1_1(a2233)
        & ~ c3_1(a2233) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a2237)
        & c0_1(a2237)
        & ~ c3_1(a2237) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a2239)
        & ~ c0_1(a2239)
        & ~ c3_1(a2239) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a2244)
        & ~ c2_1(a2244)
        & ~ c1_1(a2244) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a2245)
        & c0_1(a2245)
        & ~ c1_1(a2245) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2246)
        & ~ c0_1(a2246)
        & ~ c3_1(a2246) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a2249)
        & c2_1(a2249)
        & ~ c0_1(a2249) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a2178)
        & c0_1(a2178)
        & c2_1(a2178) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a2179)
        & ~ c2_1(a2179)
        & c0_1(a2179) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c3_1(a2180)
        & c1_1(a2180)
        & c2_1(a2180) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c0_1(a2183)
        & c2_1(a2183)
        & c3_1(a2183) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c3_1(a2184)
        & ~ c1_1(a2184)
        & c0_1(a2184) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c1_1(a2185)
        & ~ c2_1(a2185)
        & c3_1(a2185) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ c3_1(a2186)
        & ~ c2_1(a2186)
        & c0_1(a2186) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ c3_1(a2188)
        & ~ c2_1(a2188)
        & c1_1(a2188) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c0_1(a2189)
        & c1_1(a2189)
        & c3_1(a2189) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c2_1(a2193)
        & ~ c0_1(a2193)
        & c3_1(a2193) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c3_1(a2194)
        & ~ c2_1(a2194)
        & c1_1(a2194) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c1_1(a2196)
        & ~ c0_1(a2196)
        & c2_1(a2196) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ~ c0_1(a2200)
        & ~ c2_1(a2200)
        & c1_1(a2200) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a2201)
        & ~ c0_1(a2201)
        & c3_1(a2201) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c2_1(a2204)
        & ~ c1_1(a2204)
        & c3_1(a2204) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c2_1(a2205)
        & ~ c0_1(a2205)
        & c1_1(a2205) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & c1_1(a2207)
        & ~ c3_1(a2207)
        & c0_1(a2207) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c2_1(a2208)
        & c3_1(a2208)
        & c0_1(a2208) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ c0_1(a2215)
        & c2_1(a2215)
        & c1_1(a2215) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & c2_1(a2216)
        & c3_1(a2216)
        & c0_1(a2216) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & c0_1(a2218)
        & ~ c3_1(a2218)
        & c2_1(a2218) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & c2_1(a2226)
        & ~ c1_1(a2226)
        & c0_1(a2226) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c0_1(a2228)
        & c3_1(a2228)
        & c2_1(a2228) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & c0_1(a2229)
        & ~ c1_1(a2229)
        & c3_1(a2229) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a2231)
        & c2_1(a2231)
        & c1_1(a2231) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c0_1(a2232)
        & c3_1(a2232)
        & c2_1(a2232) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c1_1(a2234)
        & c3_1(a2234)
        & c2_1(a2234) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c0_1(a2235)
        & c2_1(a2235)
        & c3_1(a2235) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c1_1(a2240)
        & c3_1(a2240)
        & c0_1(a2240) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & c1_1(a2241)
        & c0_1(a2241)
        & c2_1(a2241) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c1_1(a2242)
        & ~ c3_1(a2242)
        & c2_1(a2242) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c1_1(a2243)
        & c0_1(a2243)
        & c3_1(a2243) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c2_1(a2252)
        & ~ c1_1(a2252)
        & c0_1(a2252) ) )
    & ( hskp26
      | ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c1_1(X1)
          | ~ c3_1(X1)
          | c0_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X2] :
          ( c3_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp27
      | hskp28 )
    & ( ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 )
      | hskp0
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X5] :
          ( ~ c1_1(X5)
          | c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp30
      | hskp31 )
    & ( hskp32
      | hskp2
      | ! [X7] :
          ( c3_1(X7)
          | c1_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp33
      | ! [X8] :
          ( ~ c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp34 )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c3_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp5
      | hskp35
      | hskp36 )
    & ( ! [X16] :
          ( c1_1(X16)
          | c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp34
      | hskp37
      | hskp6 )
    & ( ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp7
      | hskp37 )
    & ( hskp38
      | ! [X20] :
          ( c3_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c1_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c0_1(X22)
          | c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp39
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X24] :
          ( c2_1(X24)
          | c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c1_1(X28)
          | c3_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | hskp40 )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 )
      | hskp41
      | hskp10 )
    & ( ! [X31] :
          ( c2_1(X31)
          | ~ c1_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | hskp42
      | hskp43 )
    & ( hskp11
      | hskp3
      | hskp12 )
    & ( hskp13
      | ! [X35] :
          ( c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp44
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp45
      | hskp15
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c0_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp46
      | hskp34 )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp33
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | hskp33
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp47
      | ! [X57] :
          ( ~ c3_1(X57)
          | c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c3_1(X60)
          | ~ c1_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp48 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp49
      | hskp31 )
    & ( hskp50
      | hskp51
      | ! [X64] :
          ( ~ c1_1(X64)
          | c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | hskp19
      | hskp52 )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | hskp53
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | hskp10
      | ! [X72] :
          ( c2_1(X72)
          | ~ c3_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp21
      | hskp54
      | hskp55 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | hskp56
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp57
      | ! [X79] :
          ( ~ c1_1(X79)
          | c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | hskp22 )
    & ( hskp23
      | hskp24
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c2_1(X82)
          | c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c0_1(X83)
          | c2_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c0_1(X86)
          | c1_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c0_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp32
      | ! [X91] :
          ( ~ c0_1(X91)
          | c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | c1_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c0_1(X93)
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X95] :
          ( c3_1(X95)
          | c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp56
      | ! [X96] :
          ( c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c2_1(X98)
          | c0_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | hskp40 )
    & ( hskp58
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2181)
        & ~ c1_1(a2181)
        & ~ c2_1(a2181) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a2182)
        & ~ c0_1(a2182)
        & ~ c2_1(a2182) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a2187)
        & c1_1(a2187)
        & ~ c2_1(a2187) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a2190)
        & ~ c1_1(a2190)
        & ~ c0_1(a2190) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a2191)
        & ~ c2_1(a2191)
        & ~ c1_1(a2191) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a2192)
        & c1_1(a2192)
        & ~ c3_1(a2192) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a2197)
        & ~ c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2198)
        & c0_1(a2198)
        & ~ c3_1(a2198) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c2_1(a2202)
        & ~ c1_1(a2202)
        & ~ c0_1(a2202) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a2203)
        & c0_1(a2203)
        & ~ c3_1(a2203) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c2_1(a2206)
        & ~ c0_1(a2206)
        & ~ c3_1(a2206) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2209)
        & ~ c1_1(a2209)
        & ~ c2_1(a2209) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a2211)
        & ~ c1_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2212)
        & c2_1(a2212)
        & ~ c3_1(a2212) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a2213)
        & c2_1(a2213)
        & ~ c0_1(a2213) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c3_1(a2217)
        & c1_1(a2217)
        & ~ c0_1(a2217) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c2_1(a2220)
        & ~ c1_1(a2220)
        & ~ c3_1(a2220) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a2221)
        & c2_1(a2221)
        & ~ c3_1(a2221) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2222)
        & c3_1(a2222)
        & ~ c2_1(a2222) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2233)
        & ~ c1_1(a2233)
        & ~ c3_1(a2233) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a2237)
        & c0_1(a2237)
        & ~ c3_1(a2237) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a2239)
        & ~ c0_1(a2239)
        & ~ c3_1(a2239) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a2244)
        & ~ c2_1(a2244)
        & ~ c1_1(a2244) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a2245)
        & c0_1(a2245)
        & ~ c1_1(a2245) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2246)
        & ~ c0_1(a2246)
        & ~ c3_1(a2246) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a2249)
        & c2_1(a2249)
        & ~ c0_1(a2249) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a2178)
        & c0_1(a2178)
        & c2_1(a2178) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a2179)
        & ~ c2_1(a2179)
        & c0_1(a2179) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c3_1(a2180)
        & c1_1(a2180)
        & c2_1(a2180) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c0_1(a2183)
        & c2_1(a2183)
        & c3_1(a2183) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c3_1(a2184)
        & ~ c1_1(a2184)
        & c0_1(a2184) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c1_1(a2185)
        & ~ c2_1(a2185)
        & c3_1(a2185) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ c3_1(a2186)
        & ~ c2_1(a2186)
        & c0_1(a2186) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ~ c3_1(a2188)
        & ~ c2_1(a2188)
        & c1_1(a2188) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c0_1(a2189)
        & c1_1(a2189)
        & c3_1(a2189) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c2_1(a2193)
        & ~ c0_1(a2193)
        & c3_1(a2193) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c3_1(a2194)
        & ~ c2_1(a2194)
        & c1_1(a2194) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & c1_1(a2196)
        & ~ c0_1(a2196)
        & c2_1(a2196) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ~ c0_1(a2200)
        & ~ c2_1(a2200)
        & c1_1(a2200) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ c1_1(a2201)
        & ~ c0_1(a2201)
        & c3_1(a2201) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c2_1(a2204)
        & ~ c1_1(a2204)
        & c3_1(a2204) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & c2_1(a2205)
        & ~ c0_1(a2205)
        & c1_1(a2205) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & c1_1(a2207)
        & ~ c3_1(a2207)
        & c0_1(a2207) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ c2_1(a2208)
        & c3_1(a2208)
        & c0_1(a2208) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ c0_1(a2215)
        & c2_1(a2215)
        & c1_1(a2215) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & c2_1(a2216)
        & c3_1(a2216)
        & c0_1(a2216) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & c0_1(a2218)
        & ~ c3_1(a2218)
        & c2_1(a2218) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & c2_1(a2226)
        & ~ c1_1(a2226)
        & c0_1(a2226) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c0_1(a2228)
        & c3_1(a2228)
        & c2_1(a2228) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & c0_1(a2229)
        & ~ c1_1(a2229)
        & c3_1(a2229) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a2231)
        & c2_1(a2231)
        & c1_1(a2231) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c0_1(a2232)
        & c3_1(a2232)
        & c2_1(a2232) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c1_1(a2234)
        & c3_1(a2234)
        & c2_1(a2234) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c0_1(a2235)
        & c2_1(a2235)
        & c3_1(a2235) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c1_1(a2240)
        & c3_1(a2240)
        & c0_1(a2240) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & c1_1(a2241)
        & c0_1(a2241)
        & c2_1(a2241) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c1_1(a2242)
        & ~ c3_1(a2242)
        & c2_1(a2242) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c1_1(a2243)
        & c0_1(a2243)
        & c3_1(a2243) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c2_1(a2252)
        & ~ c1_1(a2252)
        & c0_1(a2252) ) )
    & ( hskp26
      | ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c1_1(X1)
          | ~ c3_1(X1)
          | c0_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X2] :
          ( c3_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp27
      | hskp28 )
    & ( ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 )
      | hskp0
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X5] :
          ( ~ c1_1(X5)
          | c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp30
      | hskp31 )
    & ( hskp32
      | hskp2
      | ! [X7] :
          ( c3_1(X7)
          | c1_1(X7)
          | c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp33
      | ! [X8] :
          ( ~ c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp34 )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c3_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp5
      | hskp35
      | hskp36 )
    & ( ! [X16] :
          ( c1_1(X16)
          | c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp34
      | hskp37
      | hskp6 )
    & ( ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp7
      | hskp37 )
    & ( hskp38
      | ! [X20] :
          ( c3_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c1_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c0_1(X22)
          | c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp39
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp9
      | ! [X24] :
          ( c2_1(X24)
          | c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c1_1(X28)
          | c3_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | hskp40 )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 )
      | hskp41
      | hskp10 )
    & ( ! [X31] :
          ( c2_1(X31)
          | ~ c1_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | hskp42
      | hskp43 )
    & ( hskp11
      | hskp3
      | hskp12 )
    & ( hskp13
      | ! [X35] :
          ( c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c3_1(X37)
          | ~ c2_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp44
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp45
      | hskp15
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c0_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp46
      | hskp34 )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp33
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | hskp33
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp47
      | ! [X57] :
          ( ~ c3_1(X57)
          | c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c3_1(X60)
          | ~ c1_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp48 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp49
      | hskp31 )
    & ( hskp50
      | hskp51
      | ! [X64] :
          ( ~ c1_1(X64)
          | c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | hskp19
      | hskp52 )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | hskp53
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | hskp10
      | ! [X72] :
          ( c2_1(X72)
          | ~ c3_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp21
      | hskp54
      | hskp55 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | hskp56
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp57
      | ! [X79] :
          ( ~ c1_1(X79)
          | c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | hskp22 )
    & ( hskp23
      | hskp24
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c2_1(X82)
          | c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c0_1(X83)
          | c2_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c0_1(X86)
          | c1_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c0_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c1_1(X89)
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp32
      | ! [X91] :
          ( ~ c0_1(X91)
          | c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | c1_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c0_1(X93)
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X95] :
          ( c3_1(X95)
          | c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp56
      | ! [X96] :
          ( c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c2_1(X98)
          | c0_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | hskp40 )
    & ( hskp58
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ! [X102,X103] :
      ( hskp58
      | ~ c3_1(X102)
      | c2_1(X102)
      | c1_1(X102)
      | ~ ndr1_0
      | ~ c3_1(X103)
      | c1_1(X103)
      | c2_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c2_1(X101)
      | c0_1(X101)
      | ~ ndr1_0
      | hskp40 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ! [X98,X99,X97] :
      ( c3_1(X97)
      | c2_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | ~ c2_1(X98)
      | c0_1(X98)
      | c1_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X96,X95] :
      ( c3_1(X95)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp56
      | c3_1(X96)
      | ~ c2_1(X96)
      | ~ c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X91,X92] :
      ( hskp32
      | ~ c0_1(X91)
      | c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X90,X88,X89] :
      ( c0_1(X88)
      | ~ c2_1(X88)
      | c1_1(X88)
      | ~ ndr1_0
      | c1_1(X89)
      | ~ c3_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | c2_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | c0_1(X86)
      | c1_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | ~ c0_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X82,X83,X84] :
      ( c2_1(X82)
      | c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c0_1(X83)
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X81] :
      ( hskp17
      | ~ c2_1(X81)
      | c3_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X80] :
      ( hskp23
      | hskp24
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | c1_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X79] :
      ( hskp57
      | ~ c1_1(X79)
      | c0_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | hskp56
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ( hskp21
    | hskp54
    | hskp55 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X76,X75] :
      ( ~ c3_1(X75)
      | c2_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X73,X74] :
      ( hskp20
      | ~ c1_1(X73)
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c3_1(X74)
      | c1_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X72,X71] :
      ( ~ c2_1(X71)
      | ~ c0_1(X71)
      | c3_1(X71)
      | ~ ndr1_0
      | hskp10
      | c2_1(X72)
      | ~ c3_1(X72)
      | c1_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X68] :
      ( c3_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | hskp19
      | hskp52 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X65,X66,X67] :
      ( ~ c3_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0
      | c3_1(X66)
      | c0_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X63] :
      ( c0_1(X63)
      | c1_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp49
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | ~ c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c0_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | hskp48 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X59,X60] :
      ( hskp18
      | ~ c1_1(X59)
      | c3_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | c3_1(X60)
      | ~ c1_1(X60)
      | c2_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X58,X57] :
      ( hskp47
      | ~ c3_1(X57)
      | c0_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | c3_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | hskp33
      | c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X54,X53] :
      ( ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | hskp33
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X52] :
      ( hskp18
      | ~ c1_1(X52)
      | ~ c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X51] :
      ( hskp16
      | hskp17
      | c0_1(X51)
      | ~ c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c2_1(X50)
      | c3_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X47] :
      ( ~ c0_1(X47)
      | c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp46
      | hskp34 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c0_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X40] :
      ( hskp14
      | ~ c0_1(X40)
      | c3_1(X40)
      | c2_1(X40)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X38,X39,X37] :
      ( c3_1(X37)
      | ~ c2_1(X37)
      | c0_1(X37)
      | ~ ndr1_0
      | ~ c0_1(X38)
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c0_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ( hskp11
    | hskp3
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X34] :
      ( c1_1(X34)
      | c3_1(X34)
      | c0_1(X34)
      | ~ ndr1_0
      | hskp42
      | hskp43 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X31,X32,X33] :
      ( c2_1(X31)
      | ~ c1_1(X31)
      | c0_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X30] :
      ( ~ c2_1(X30)
      | c3_1(X30)
      | c0_1(X30)
      | ~ ndr1_0
      | hskp41
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X28,X29] :
      ( c1_1(X28)
      | c3_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | c1_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | hskp40 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X22,X23] :
      ( ~ c0_1(X22)
      | c2_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | hskp39
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ( hskp34
    | hskp37
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ( hskp5
    | hskp35
    | hskp36 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X10,X11,X9] :
      ( ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | ~ c3_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ c0_1(X11)
      | c2_1(X11)
      | c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X8] :
      ( hskp33
      | ~ c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | hskp34 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X6,X5] :
      ( hskp1
      | ~ c1_1(X5)
      | c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c3_1(X6)
      | c1_1(X6)
      | c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp58
    | c0_1(a2252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp58
    | ~ c1_1(a2252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp58
    | ~ c2_1(a2252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp57
    | c3_1(a2243) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp57
    | c0_1(a2243) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp57
    | c1_1(a2243) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp56
    | c2_1(a2242) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp56
    | ~ c3_1(a2242) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp56
    | ~ c1_1(a2242) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp55
    | c2_1(a2241) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp55
    | c0_1(a2241) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp55
    | c1_1(a2241) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp54
    | c0_1(a2240) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp54
    | c3_1(a2240) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp54
    | c1_1(a2240) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp52
    | c2_1(a2234) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp52
    | c3_1(a2234) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp52
    | c1_1(a2234) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp49
    | c3_1(a2229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp49
    | ~ c1_1(a2229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp49
    | c0_1(a2229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp48
    | c2_1(a2228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp48
    | c3_1(a2228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp48
    | ~ c0_1(a2228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp47
    | c0_1(a2226) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp47
    | ~ c1_1(a2226) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp47
    | c2_1(a2226) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp46
    | c2_1(a2218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp46
    | ~ c3_1(a2218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp46
    | c0_1(a2218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp43
    | c0_1(a2208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp43
    | c3_1(a2208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp43
    | ~ c2_1(a2208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp42
    | c0_1(a2207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp42
    | ~ c3_1(a2207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp42
    | c1_1(a2207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp41
    | c1_1(a2205) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp41
    | ~ c0_1(a2205) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp40
    | c3_1(a2204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp40
    | ~ c1_1(a2204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp40
    | c2_1(a2204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp39
    | c3_1(a2201) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp39
    | ~ c0_1(a2201) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp39
    | ~ c1_1(a2201) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp37
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp36
    | c1_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp36
    | ~ c2_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp36
    | c3_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp35
    | c3_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp35
    | ~ c0_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp35
    | c2_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp34
    | c3_1(a2189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp34
    | c1_1(a2189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp34
    | ~ c0_1(a2189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ hskp34
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp33
    | c1_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp33
    | ~ c2_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp33
    | ~ c3_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp32
    | c0_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp32
    | ~ c2_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp32
    | ~ c3_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp31
    | c3_1(a2185) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp31
    | ~ c2_1(a2185) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp31
    | c1_1(a2185) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp24
    | ~ c3_1(a2246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp24
    | c1_1(a2246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp23
    | ~ c1_1(a2245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp23
    | c0_1(a2245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp23
    | c3_1(a2245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp22
    | ~ c1_1(a2244) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp22
    | ~ c2_1(a2244) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp22
    | c0_1(a2244) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    ( ~ hskp21
    | ~ c3_1(a2239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    ( ~ hskp21
    | ~ c0_1(a2239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f216,plain,
    ( ~ hskp21
    | c2_1(a2239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f218,plain,
    ( ~ hskp20
    | ~ c3_1(a2237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f219,plain,
    ( ~ hskp20
    | c0_1(a2237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f220,plain,
    ( ~ hskp20
    | c1_1(a2237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f222,plain,
    ( ~ hskp19
    | ~ c3_1(a2233) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f223,plain,
    ( ~ hskp19
    | ~ c1_1(a2233) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f224,plain,
    ( ~ hskp19
    | ~ c0_1(a2233) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f226,plain,
    ( ~ hskp18
    | ~ c2_1(a2222) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f227,plain,
    ( ~ hskp18
    | c3_1(a2222) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f228,plain,
    ( ~ hskp18
    | c0_1(a2222) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f230,plain,
    ( ~ hskp17
    | ~ c3_1(a2221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f231,plain,
    ( ~ hskp17
    | c2_1(a2221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f232,plain,
    ( ~ hskp17
    | ~ c0_1(a2221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f234,plain,
    ( ~ hskp16
    | ~ c3_1(a2220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f235,plain,
    ( ~ hskp16
    | ~ c1_1(a2220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f236,plain,
    ( ~ hskp16
    | ~ c2_1(a2220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f242,plain,
    ( ~ hskp14
    | ~ c0_1(a2213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f243,plain,
    ( ~ hskp14
    | c2_1(a2213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f244,plain,
    ( ~ hskp14
    | ~ c1_1(a2213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f250,plain,
    ( ~ hskp12
    | ~ c3_1(a2211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f251,plain,
    ( ~ hskp12
    | ~ c1_1(a2211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f252,plain,
    ( ~ hskp12
    | c2_1(a2211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f254,plain,
    ( ~ hskp11
    | ~ c2_1(a2209) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f255,plain,
    ( ~ hskp11
    | ~ c1_1(a2209) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f256,plain,
    ( ~ hskp11
    | c0_1(a2209) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f258,plain,
    ( ~ hskp10
    | ~ c3_1(a2206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f259,plain,
    ( ~ hskp10
    | ~ c0_1(a2206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f260,plain,
    ( ~ hskp10
    | ~ c2_1(a2206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f277,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f278,plain,
    ( ~ hskp5
    | ~ c3_1(a2192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f279,plain,
    ( ~ hskp5
    | c1_1(a2192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f280,plain,
    ( ~ hskp5
    | ~ c0_1(a2192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f283,plain,
    ( ~ hskp4
    | ~ c2_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f284,plain,
    ( ~ hskp4
    | c3_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f286,plain,
    ( ~ hskp3
    | ~ c0_1(a2190) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f287,plain,
    ( ~ hskp3
    | ~ c1_1(a2190) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f288,plain,
    ( ~ hskp3
    | c2_1(a2190) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f294,plain,
    ( ~ hskp1
    | ~ c2_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f295,plain,
    ( ~ hskp1
    | ~ c0_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f296,plain,
    ( ~ hskp1
    | c3_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f302,plain,
    ! [X102,X103] :
      ( hskp58
      | ~ c3_1(X102)
      | c2_1(X102)
      | c1_1(X102)
      | ~ ndr1_0
      | ~ c3_1(X103)
      | c1_1(X103)
      | c2_1(X103) ),
    inference(duplicate_literal_removal,[],[f6]) ).

fof(f303,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c2_1(X101)
      | c0_1(X101)
      | hskp40 ),
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f304,plain,
    ! [X98,X99,X97] :
      ( c3_1(X97)
      | c2_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | ~ c2_1(X98)
      | c0_1(X98)
      | c1_1(X98)
      | c3_1(X99)
      | ~ c0_1(X99)
      | ~ c2_1(X99) ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f305,plain,
    ! [X96,X95] :
      ( c3_1(X95)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp56
      | c3_1(X96)
      | ~ c2_1(X96)
      | ~ c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f307,plain,
    ! [X91,X92] :
      ( hskp32
      | ~ c0_1(X91)
      | c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92)
      | ~ c3_1(X92) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f308,plain,
    ! [X90,X88,X89] :
      ( c0_1(X88)
      | ~ c2_1(X88)
      | c1_1(X88)
      | ~ ndr1_0
      | c1_1(X89)
      | ~ c3_1(X89)
      | ~ c2_1(X89)
      | c2_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90) ),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f309,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | c0_1(X86)
      | c1_1(X86)
      | c3_1(X86)
      | c2_1(X87)
      | ~ c0_1(X87)
      | ~ c3_1(X87) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f310,plain,
    ! [X82,X83,X84] :
      ( c2_1(X82)
      | c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c0_1(X83)
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f311,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | hskp56
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78) ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f312,plain,
    ! [X76,X75] :
      ( ~ c3_1(X75)
      | c2_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f313,plain,
    ! [X73,X74] :
      ( hskp20
      | ~ c1_1(X73)
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c3_1(X74)
      | c1_1(X74)
      | ~ c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f314,plain,
    ! [X72,X71] :
      ( ~ c2_1(X71)
      | ~ c0_1(X71)
      | c3_1(X71)
      | ~ ndr1_0
      | hskp10
      | c2_1(X72)
      | ~ c3_1(X72)
      | c1_1(X72) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f316,plain,
    ! [X65,X66,X67] :
      ( ~ c3_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0
      | c3_1(X66)
      | c0_1(X66)
      | ~ c2_1(X66)
      | ~ c1_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f317,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | ~ c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c0_1(X62)
      | ~ c1_1(X62)
      | hskp48 ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f318,plain,
    ! [X59,X60] :
      ( hskp18
      | ~ c1_1(X59)
      | c3_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | c3_1(X60)
      | ~ c1_1(X60)
      | c2_1(X60) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f319,plain,
    ! [X58,X57] :
      ( hskp47
      | ~ c3_1(X57)
      | c0_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | c3_1(X58) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f320,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | hskp33
      | c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f321,plain,
    ! [X54,X53] :
      ( ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | hskp33
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f322,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c0_1(X49)
      | c1_1(X50)
      | c2_1(X50)
      | c3_1(X50) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f324,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c0_1(X42)
      | ~ c2_1(X42)
      | ~ c2_1(X43)
      | c1_1(X43)
      | ~ c3_1(X43) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f325,plain,
    ! [X38,X39,X37] :
      ( c3_1(X37)
      | ~ c2_1(X37)
      | c0_1(X37)
      | ~ ndr1_0
      | ~ c0_1(X38)
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X39)
      | c0_1(X39)
      | ~ c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f327,plain,
    ! [X31,X32,X33] :
      ( c2_1(X31)
      | ~ c1_1(X31)
      | c0_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | c2_1(X32)
      | c2_1(X33)
      | ~ c3_1(X33)
      | ~ c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f328,plain,
    ! [X28,X29] :
      ( c1_1(X28)
      | c3_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | c1_1(X29)
      | c2_1(X29)
      | hskp40 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f330,plain,
    ! [X22,X23] :
      ( ~ c0_1(X22)
      | c2_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | hskp39
      | ~ c1_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f335,plain,
    ! [X10,X11,X9] :
      ( ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | ~ c3_1(X10)
      | c2_1(X10)
      | ~ c0_1(X11)
      | c2_1(X11)
      | c3_1(X11) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f336,plain,
    ! [X6,X5] :
      ( hskp1
      | ~ c1_1(X5)
      | c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c3_1(X6)
      | c1_1(X6)
      | c0_1(X6) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f340,definition,
    ( spl0_1
  <=> ! [X103] :
        ( ~ c3_1(X103)
        | c2_1(X103)
        | c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f341,plain,
    ( ! [X103] :
        ( c1_1(X103)
        | c2_1(X103)
        | ~ c3_1(X103) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f343,definition,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f346,definition,
    ( spl0_3
  <=> hskp58 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f348,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f302,f346,f340,f343,f340]) ).

fof(f350,definition,
    ( spl0_4
  <=> hskp40 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f353,definition,
    ( spl0_5
  <=> ! [X101] :
        ( ~ c3_1(X101)
        | c0_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c0_1(X101)
        | ~ c2_1(X101) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f356,definition,
    ( spl0_6
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c0_1(X100)
        | ~ c3_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X100] :
        ( ~ c3_1(X100)
        | ~ c0_1(X100)
        | c2_1(X100) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f358,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f303,f356,f343,f353,f350]) ).

fof(f360,definition,
    ( spl0_7
  <=> ! [X99] :
        ( c3_1(X99)
        | ~ c2_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X99] :
        ( c3_1(X99)
        | ~ c2_1(X99)
        | ~ c0_1(X99) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f363,definition,
    ( spl0_8
  <=> ! [X98] :
        ( ~ c2_1(X98)
        | c1_1(X98)
        | c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X98] :
        ( c1_1(X98)
        | ~ c2_1(X98)
        | c0_1(X98) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f366,definition,
    ( spl0_9
  <=> ! [X97] :
        ( c3_1(X97)
        | ~ c0_1(X97)
        | c2_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | ~ c0_1(X97)
        | c2_1(X97) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f368,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f304,f366,f343,f363,f360]) ).

fof(f370,definition,
    ( spl0_10
  <=> hskp56 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_11
  <=> ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | c0_1(X95) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_7
    | spl0_10
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f305,f373,f343,f370,f360]) ).

fof(f380,definition,
    ( spl0_13
  <=> ! [X94] :
        ( c3_1(X94)
        | c2_1(X94)
        | c0_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X94] :
        ( c3_1(X94)
        | c2_1(X94)
        | c0_1(X94) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f384,definition,
    ( spl0_14
  <=> ! [X91] :
        ( ~ c0_1(X91)
        | c2_1(X91)
        | c1_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X91] :
        ( c1_1(X91)
        | c2_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f387,definition,
    ( spl0_15
  <=> hskp32 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f389,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f307,f387,f384,f343,f340]) ).

fof(f391,definition,
    ( spl0_16
  <=> ! [X89] :
        ( c1_1(X89)
        | ~ c2_1(X89)
        | ~ c3_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X89] :
        ( c1_1(X89)
        | ~ c2_1(X89)
        | ~ c3_1(X89) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f393,plain,
    ( spl0_14
    | spl0_16
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f308,f363,f343,f391,f384]) ).

fof(f395,definition,
    ( spl0_17
  <=> ! [X86] :
        ( c0_1(X86)
        | c3_1(X86)
        | c1_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X86] :
        ( c1_1(X86)
        | c3_1(X86)
        | c0_1(X86) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f398,definition,
    ( spl0_18
  <=> ! [X85] :
        ( c1_1(X85)
        | c3_1(X85)
        | c2_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X85] :
        ( c1_1(X85)
        | c3_1(X85)
        | c2_1(X85) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_6
    | spl0_17
    | ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f309,f398,f343,f395,f356]) ).

fof(f402,definition,
    ( spl0_19
  <=> ! [X84] :
        ( ~ c2_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c2_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f405,definition,
    ( spl0_20
  <=> ! [X83] :
        ( c0_1(X83)
        | ~ c1_1(X83)
        | c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | c0_1(X83)
        | c2_1(X83) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f408,definition,
    ( spl0_21
  <=> ! [X82] :
        ( c2_1(X82)
        | ~ c3_1(X82)
        | c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c2_1(X82)
        | c0_1(X82) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_2
    | spl0_21 ),
    inference(avatar_split_clause,[],[f310,f408,f343,f405,f402]) ).

fof(f412,definition,
    ( spl0_22
  <=> ! [X81] :
        ( ~ c2_1(X81)
        | ~ c1_1(X81)
        | c3_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f415,definition,
    ( spl0_23
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f417,plain,
    ( ~ spl0_2
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f15,f415,f412,f343]) ).

fof(f419,definition,
    ( spl0_24
  <=> ! [X80] :
        ( ~ c0_1(X80)
        | c1_1(X80)
        | ~ c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | ~ c0_1(X80)
        | ~ c3_1(X80) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f422,definition,
    ( spl0_25
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f425,definition,
    ( spl0_26
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f427,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f16,f425,f422,f419,f343]) ).

fof(f429,definition,
    ( spl0_27
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f432,definition,
    ( spl0_28
  <=> ! [X79] :
        ( ~ c1_1(X79)
        | c3_1(X79)
        | c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | c3_1(X79)
        | c0_1(X79) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f435,definition,
    ( spl0_29
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f437,plain,
    ( spl0_27
    | ~ spl0_2
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f17,f435,f432,f343,f429]) ).

fof(f439,definition,
    ( spl0_30
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c2_1(X78)
        | ~ c0_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X78] :
        ( c1_1(X78)
        | ~ c2_1(X78)
        | ~ c0_1(X78) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_30
    | spl0_10
    | ~ spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f311,f384,f343,f370,f439]) ).

fof(f443,definition,
    ( spl0_31
  <=> hskp55 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_32
  <=> hskp54 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f449,definition,
    ( spl0_33
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f451,plain,
    ( spl0_31
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f19,f449,f446,f443]) ).

fof(f453,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f456,definition,
    ( spl0_35
  <=> ! [X75] :
        ( ~ c3_1(X75)
        | ~ c1_1(X75)
        | c2_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | ~ c3_1(X75)
        | c2_1(X75) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( spl0_34
    | spl0_6
    | ~ spl0_2
    | spl0_35 ),
    inference(avatar_split_clause,[],[f312,f456,f343,f356,f453]) ).

fof(f460,definition,
    ( spl0_36
  <=> ! [X74] :
        ( c3_1(X74)
        | ~ c0_1(X74)
        | c1_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | c3_1(X74) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f463,definition,
    ( spl0_37
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | ~ c2_1(X73)
        | ~ c3_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | ~ c2_1(X73)
        | ~ c3_1(X73) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f466,definition,
    ( spl0_38
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f468,plain,
    ( spl0_36
    | ~ spl0_2
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f313,f466,f463,f343,f460]) ).

fof(f469,plain,
    ( spl0_1
    | spl0_34
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f314,f360,f343,f453,f340]) ).

fof(f475,definition,
    ( spl0_40
  <=> hskp52 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f478,definition,
    ( spl0_41
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f480,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f24,f373,f343,f478,f475]) ).

fof(f482,definition,
    ( spl0_42
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | ~ c0_1(X67)
        | c3_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f483,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | ~ c0_1(X67)
        | c3_1(X67) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f485,definition,
    ( spl0_43
  <=> ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f486,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | ~ c3_1(X65) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( spl0_42
    | spl0_11
    | ~ spl0_2
    | spl0_43 ),
    inference(avatar_split_clause,[],[f316,f485,f343,f373,f482]) ).

fof(f489,definition,
    ( spl0_44
  <=> ! [X64] :
        ( ~ c1_1(X64)
        | ~ c2_1(X64)
        | c0_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | ~ c2_1(X64)
        | c0_1(X64) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f499,definition,
    ( spl0_47
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f502,definition,
    ( spl0_48
  <=> hskp49 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f505,definition,
    ( spl0_49
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c3_1(X63)
        | c1_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | c0_1(X63) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( spl0_47
    | spl0_48
    | ~ spl0_2
    | spl0_49 ),
    inference(avatar_split_clause,[],[f27,f505,f343,f502,f499]) ).

fof(f509,definition,
    ( spl0_50
  <=> hskp48 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f511,plain,
    ( spl0_50
    | spl0_44
    | ~ spl0_2
    | spl0_43 ),
    inference(avatar_split_clause,[],[f317,f485,f343,f489,f509]) ).

fof(f513,definition,
    ( spl0_51
  <=> ! [X60] :
        ( c3_1(X60)
        | c2_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f514,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c2_1(X60)
        | c3_1(X60) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f516,definition,
    ( spl0_52
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f518,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f318,f516,f513,f343,f513]) ).

fof(f520,definition,
    ( spl0_53
  <=> hskp47 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f522,plain,
    ( spl0_18
    | ~ spl0_2
    | spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f319,f520,f408,f343,f398]) ).

fof(f524,definition,
    ( spl0_54
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f526,plain,
    ( spl0_20
    | spl0_54
    | ~ spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f320,f460,f343,f524,f405]) ).

fof(f527,plain,
    ( spl0_44
    | spl0_54
    | ~ spl0_2
    | spl0_37 ),
    inference(avatar_split_clause,[],[f321,f463,f343,f524,f489]) ).

fof(f528,plain,
    ( spl0_47
    | ~ spl0_2
    | spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f33,f516,f412,f343,f499]) ).

fof(f530,definition,
    ( spl0_55
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_23
    | spl0_55 ),
    inference(avatar_split_clause,[],[f34,f530,f415,f363,f343]) ).

fof(f533,plain,
    ( spl0_18
    | spl0_13
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f322,f356,f343,f380,f398]) ).

fof(f535,definition,
    ( spl0_56
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f538,definition,
    ( spl0_57
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f540,plain,
    ( spl0_56
    | spl0_57
    | ~ spl0_2
    | spl0_24 ),
    inference(avatar_split_clause,[],[f36,f419,f343,f538,f535]) ).

fof(f552,plain,
    ( spl0_16
    | spl0_8
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f324,f373,f343,f363,f391]) ).

fof(f554,definition,
    ( spl0_61
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f557,definition,
    ( spl0_62
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f559,plain,
    ( spl0_61
    | ~ spl0_2
    | spl0_9
    | spl0_62 ),
    inference(avatar_split_clause,[],[f40,f557,f366,f343,f554]) ).

fof(f560,plain,
    ( spl0_43
    | spl0_19
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f325,f373,f343,f402,f485]) ).

fof(f566,definition,
    ( spl0_64
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f569,definition,
    ( spl0_65
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f572,definition,
    ( spl0_66
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f574,plain,
    ( spl0_64
    | spl0_65
    | spl0_66 ),
    inference(avatar_split_clause,[],[f43,f572,f569,f566]) ).

fof(f576,definition,
    ( spl0_67
  <=> hskp43 ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f579,definition,
    ( spl0_68
  <=> hskp42 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f581,plain,
    ( spl0_67
    | spl0_68
    | ~ spl0_2
    | spl0_17 ),
    inference(avatar_split_clause,[],[f44,f395,f343,f579,f576]) ).

fof(f583,definition,
    ( spl0_69
  <=> ! [X32] :
        ( ~ c0_1(X32)
        | c2_1(X32)
        | ~ c1_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f584,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | c2_1(X32)
        | ~ c0_1(X32) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( spl0_35
    | spl0_69
    | ~ spl0_2
    | spl0_20 ),
    inference(avatar_split_clause,[],[f327,f405,f343,f583,f456]) ).

fof(f587,definition,
    ( spl0_70
  <=> hskp41 ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f589,plain,
    ( spl0_34
    | spl0_70
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f46,f373,f343,f587,f453]) ).

fof(f590,plain,
    ( spl0_4
    | spl0_1
    | ~ spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f328,f460,f343,f340,f350]) ).

fof(f600,definition,
    ( spl0_73
  <=> ! [X23] :
        ( ~ c1_1(X23)
        | ~ c2_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f601,plain,
    ( ! [X23] :
        ( ~ c1_1(X23)
        | ~ c2_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f603,definition,
    ( spl0_74
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f605,plain,
    ( spl0_73
    | spl0_74
    | ~ spl0_2
    | spl0_69 ),
    inference(avatar_split_clause,[],[f330,f583,f343,f603,f600]) ).

fof(f614,definition,
    ( spl0_77
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f621,definition,
    ( spl0_79
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f623,plain,
    ( spl0_79
    | spl0_77
    | spl0_56 ),
    inference(avatar_split_clause,[],[f53,f535,f614,f621]) ).

fof(f626,definition,
    ( spl0_80
  <=> hskp36 ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f629,definition,
    ( spl0_81
  <=> hskp35 ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f632,definition,
    ( spl0_82
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f634,plain,
    ( spl0_80
    | spl0_81
    | spl0_82 ),
    inference(avatar_split_clause,[],[f55,f632,f629,f626]) ).

fof(f640,plain,
    ( spl0_9
    | spl0_1
    | ~ spl0_2
    | spl0_73 ),
    inference(avatar_split_clause,[],[f335,f600,f343,f340,f366]) ).

fof(f641,plain,
    ( spl0_56
    | ~ spl0_2
    | spl0_30
    | spl0_54 ),
    inference(avatar_split_clause,[],[f59,f524,f439,f343,f535]) ).

fof(f654,definition,
    ( spl0_87
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f656,plain,
    ( spl0_17
    | ~ spl0_2
    | spl0_28
    | spl0_87 ),
    inference(avatar_split_clause,[],[f336,f654,f432,f343,f395]) ).

fof(f673,definition,
    ( spl0_92
  <=> c0_1(a2252) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f676,plain,
    ( spl0_92
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f66,f346,f673]) ).

fof(f678,definition,
    ( spl0_93
  <=> c1_1(a2252) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ c1_1(a2252)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f680,plain,
    ( ~ spl0_93
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f67,f346,f678]) ).

fof(f682,definition,
    ( spl0_94
  <=> c2_1(a2252) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f684,plain,
    ( ~ spl0_94
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f68,f346,f682]) ).

fof(f688,definition,
    ( spl0_95
  <=> c3_1(a2243) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f689,plain,
    ( c3_1(a2243)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( spl0_95
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f70,f435,f688]) ).

fof(f693,definition,
    ( spl0_96
  <=> c0_1(a2243) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f695,plain,
    ( spl0_96
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f71,f435,f693]) ).

fof(f697,definition,
    ( spl0_97
  <=> c1_1(a2243) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f698,plain,
    ( c1_1(a2243)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_97
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f72,f435,f697]) ).

fof(f702,definition,
    ( spl0_98
  <=> c2_1(a2242) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f705,plain,
    ( spl0_98
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f74,f370,f702]) ).

fof(f707,definition,
    ( spl0_99
  <=> c3_1(a2242) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ spl0_99
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f75,f370,f707]) ).

fof(f711,definition,
    ( spl0_100
  <=> c1_1(a2242) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ c1_1(a2242)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( ~ spl0_100
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f76,f370,f711]) ).

fof(f716,definition,
    ( spl0_101
  <=> c2_1(a2241) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f719,plain,
    ( spl0_101
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f78,f443,f716]) ).

fof(f721,definition,
    ( spl0_102
  <=> c0_1(a2241) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f723,plain,
    ( spl0_102
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f79,f443,f721]) ).

fof(f725,definition,
    ( spl0_103
  <=> c1_1(a2241) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f726,plain,
    ( c1_1(a2241)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_103
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f80,f443,f725]) ).

fof(f730,definition,
    ( spl0_104
  <=> c0_1(a2240) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f733,plain,
    ( spl0_104
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f82,f446,f730]) ).

fof(f735,definition,
    ( spl0_105
  <=> c3_1(a2240) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f736,plain,
    ( c3_1(a2240)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( spl0_105
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f83,f446,f735]) ).

fof(f739,definition,
    ( spl0_106
  <=> c1_1(a2240) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f740,plain,
    ( c1_1(a2240)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f741,plain,
    ( spl0_106
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f84,f446,f739]) ).

fof(f758,definition,
    ( spl0_110
  <=> c2_1(a2234) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_110
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f90,f475,f758]) ).

fof(f763,definition,
    ( spl0_111
  <=> c3_1(a2234) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f765,plain,
    ( spl0_111
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f91,f475,f763]) ).

fof(f767,definition,
    ( spl0_112
  <=> c1_1(a2234) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f768,plain,
    ( c1_1(a2234)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f769,plain,
    ( spl0_112
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f92,f475,f767]) ).

fof(f800,definition,
    ( spl0_119
  <=> c3_1(a2229) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f801,plain,
    ( c3_1(a2229)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( spl0_119
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f102,f502,f800]) ).

fof(f805,definition,
    ( spl0_120
  <=> c1_1(a2229) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f806,plain,
    ( ~ c1_1(a2229)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f807,plain,
    ( ~ spl0_120
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f103,f502,f805]) ).

fof(f809,definition,
    ( spl0_121
  <=> c0_1(a2229) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f811,plain,
    ( spl0_121
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f104,f502,f809]) ).

fof(f814,definition,
    ( spl0_122
  <=> c2_1(a2228) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f817,plain,
    ( spl0_122
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f106,f509,f814]) ).

fof(f819,definition,
    ( spl0_123
  <=> c3_1(a2228) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f820,plain,
    ( c3_1(a2228)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f821,plain,
    ( spl0_123
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f107,f509,f819]) ).

fof(f823,definition,
    ( spl0_124
  <=> c0_1(a2228) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f825,plain,
    ( ~ spl0_124
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f108,f509,f823]) ).

fof(f828,definition,
    ( spl0_125
  <=> c0_1(a2226) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f831,plain,
    ( spl0_125
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f110,f520,f828]) ).

fof(f833,definition,
    ( spl0_126
  <=> c1_1(a2226) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ c1_1(a2226)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f835,plain,
    ( ~ spl0_126
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f111,f520,f833]) ).

fof(f837,definition,
    ( spl0_127
  <=> c2_1(a2226) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f839,plain,
    ( spl0_127
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f112,f520,f837]) ).

fof(f842,definition,
    ( spl0_128
  <=> c2_1(a2218) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f845,plain,
    ( spl0_128
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f114,f538,f842]) ).

fof(f847,definition,
    ( spl0_129
  <=> c3_1(a2218) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f848,plain,
    ( ~ c3_1(a2218)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f849,plain,
    ( ~ spl0_129
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f115,f538,f847]) ).

fof(f851,definition,
    ( spl0_130
  <=> c0_1(a2218) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f853,plain,
    ( spl0_130
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f116,f538,f851]) ).

fof(f884,definition,
    ( spl0_137
  <=> c0_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f887,plain,
    ( spl0_137
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f126,f576,f884]) ).

fof(f889,definition,
    ( spl0_138
  <=> c3_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f890,plain,
    ( c3_1(a2208)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f891,plain,
    ( spl0_138
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f127,f576,f889]) ).

fof(f893,definition,
    ( spl0_139
  <=> c2_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f895,plain,
    ( ~ spl0_139
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f128,f576,f893]) ).

fof(f898,definition,
    ( spl0_140
  <=> c0_1(a2207) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f901,plain,
    ( spl0_140
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f130,f579,f898]) ).

fof(f903,definition,
    ( spl0_141
  <=> c3_1(a2207) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ c3_1(a2207)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f905,plain,
    ( ~ spl0_141
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f131,f579,f903]) ).

fof(f907,definition,
    ( spl0_142
  <=> c1_1(a2207) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f908,plain,
    ( c1_1(a2207)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f909,plain,
    ( spl0_142
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f132,f579,f907]) ).

fof(f912,definition,
    ( spl0_143
  <=> c1_1(a2205) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f913,plain,
    ( c1_1(a2205)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl0_143
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f134,f587,f912]) ).

fof(f917,definition,
    ( spl0_144
  <=> c0_1(a2205) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ spl0_144
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f135,f587,f917]) ).

fof(f926,definition,
    ( spl0_146
  <=> c3_1(a2204) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f927,plain,
    ( c3_1(a2204)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( spl0_146
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f138,f350,f926]) ).

fof(f931,definition,
    ( spl0_147
  <=> c1_1(a2204) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ c1_1(a2204)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f933,plain,
    ( ~ spl0_147
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f139,f350,f931]) ).

fof(f935,definition,
    ( spl0_148
  <=> c2_1(a2204) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f937,plain,
    ( spl0_148
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f140,f350,f935]) ).

fof(f940,definition,
    ( spl0_149
  <=> c3_1(a2201) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f941,plain,
    ( c3_1(a2201)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_149
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f142,f603,f940]) ).

fof(f945,definition,
    ( spl0_150
  <=> c0_1(a2201) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f947,plain,
    ( ~ spl0_150
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f143,f603,f945]) ).

fof(f949,definition,
    ( spl0_151
  <=> c1_1(a2201) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f950,plain,
    ( ~ c1_1(a2201)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f951,plain,
    ( ~ spl0_151
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f144,f603,f949]) ).

fof(f980,plain,
    ( spl0_2
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f153,f614,f343]) ).

fof(f982,definition,
    ( spl0_158
  <=> c1_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f983,plain,
    ( c1_1(a2194)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f985,plain,
    ( spl0_158
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f154,f626,f982]) ).

fof(f987,definition,
    ( spl0_159
  <=> c2_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f989,plain,
    ( ~ spl0_159
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f155,f626,f987]) ).

fof(f991,definition,
    ( spl0_160
  <=> c3_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f992,plain,
    ( c3_1(a2194)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f993,plain,
    ( spl0_160
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f156,f626,f991]) ).

fof(f996,definition,
    ( spl0_161
  <=> c3_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f997,plain,
    ( c3_1(a2193)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f999,plain,
    ( spl0_161
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f158,f629,f996]) ).

fof(f1001,definition,
    ( spl0_162
  <=> c0_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1003,plain,
    ( ~ spl0_162
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f159,f629,f1001]) ).

fof(f1005,definition,
    ( spl0_163
  <=> c2_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1007,plain,
    ( spl0_163
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f160,f629,f1005]) ).

fof(f1010,definition,
    ( spl0_164
  <=> c3_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1011,plain,
    ( c3_1(a2189)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1013,plain,
    ( spl0_164
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f162,f535,f1010]) ).

fof(f1015,definition,
    ( spl0_165
  <=> c1_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1016,plain,
    ( c1_1(a2189)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1017,plain,
    ( spl0_165
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f163,f535,f1015]) ).

fof(f1019,definition,
    ( spl0_166
  <=> c0_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ spl0_166
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f164,f535,f1019]) ).

fof(f1022,plain,
    ( spl0_2
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f165,f535,f343]) ).

fof(f1024,definition,
    ( spl0_167
  <=> c1_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1025,plain,
    ( c1_1(a2188)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1027,plain,
    ( spl0_167
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f166,f524,f1024]) ).

fof(f1029,definition,
    ( spl0_168
  <=> c2_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1031,plain,
    ( ~ spl0_168
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f167,f524,f1029]) ).

fof(f1033,definition,
    ( spl0_169
  <=> c3_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1035,plain,
    ( ~ spl0_169
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f168,f524,f1033]) ).

fof(f1038,definition,
    ( spl0_170
  <=> c0_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1041,plain,
    ( spl0_170
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f170,f387,f1038]) ).

fof(f1043,definition,
    ( spl0_171
  <=> c2_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1045,plain,
    ( ~ spl0_171
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f171,f387,f1043]) ).

fof(f1047,definition,
    ( spl0_172
  <=> c3_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1048,plain,
    ( ~ c3_1(a2186)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1049,plain,
    ( ~ spl0_172
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f172,f387,f1047]) ).

fof(f1052,definition,
    ( spl0_173
  <=> c3_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1053,plain,
    ( c3_1(a2185)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1055,plain,
    ( spl0_173
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f174,f499,f1052]) ).

fof(f1057,definition,
    ( spl0_174
  <=> c2_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1058,plain,
    ( ~ c2_1(a2185)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1059,plain,
    ( ~ spl0_174
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f175,f499,f1057]) ).

fof(f1061,definition,
    ( spl0_175
  <=> c1_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1062,plain,
    ( c1_1(a2185)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1063,plain,
    ( spl0_175
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f176,f499,f1061]) ).

fof(f1150,definition,
    ( spl0_194
  <=> c3_1(a2246) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1153,plain,
    ( ~ spl0_194
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f202,f422,f1150]) ).

fof(f1159,definition,
    ( spl0_196
  <=> c1_1(a2246) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

fof(f1160,plain,
    ( c1_1(a2246)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1161,plain,
    ( spl0_196
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f204,f422,f1159]) ).

fof(f1164,definition,
    ( spl0_197
  <=> c1_1(a2245) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

fof(f1165,plain,
    ( ~ c1_1(a2245)
    | spl0_197 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1167,plain,
    ( ~ spl0_197
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f206,f425,f1164]) ).

fof(f1169,definition,
    ( spl0_198
  <=> c0_1(a2245) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1171,plain,
    ( spl0_198
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f207,f425,f1169]) ).

fof(f1173,definition,
    ( spl0_199
  <=> c3_1(a2245) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

fof(f1174,plain,
    ( c3_1(a2245)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f1175,plain,
    ( spl0_199
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f208,f425,f1173]) ).

fof(f1178,definition,
    ( spl0_200
  <=> c1_1(a2244) ),
    introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ c1_1(a2244)
    | spl0_200 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1181,plain,
    ( ~ spl0_200
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f210,f429,f1178]) ).

fof(f1183,definition,
    ( spl0_201
  <=> c2_1(a2244) ),
    introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).

fof(f1185,plain,
    ( ~ spl0_201
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f211,f429,f1183]) ).

fof(f1187,definition,
    ( spl0_202
  <=> c0_1(a2244) ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

fof(f1189,plain,
    ( spl0_202
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f212,f429,f1187]) ).

fof(f1192,definition,
    ( spl0_203
  <=> c3_1(a2239) ),
    introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).

fof(f1193,plain,
    ( ~ c3_1(a2239)
    | spl0_203 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1195,plain,
    ( ~ spl0_203
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f214,f449,f1192]) ).

fof(f1197,definition,
    ( spl0_204
  <=> c0_1(a2239) ),
    introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).

fof(f1199,plain,
    ( ~ spl0_204
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f215,f449,f1197]) ).

fof(f1201,definition,
    ( spl0_205
  <=> c2_1(a2239) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

fof(f1203,plain,
    ( spl0_205
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f216,f449,f1201]) ).

fof(f1206,definition,
    ( spl0_206
  <=> c3_1(a2237) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1207,plain,
    ( ~ c3_1(a2237)
    | spl0_206 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f1209,plain,
    ( ~ spl0_206
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f218,f466,f1206]) ).

fof(f1211,definition,
    ( spl0_207
  <=> c0_1(a2237) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1213,plain,
    ( spl0_207
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f219,f466,f1211]) ).

fof(f1215,definition,
    ( spl0_208
  <=> c1_1(a2237) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1216,plain,
    ( c1_1(a2237)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1217,plain,
    ( spl0_208
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f220,f466,f1215]) ).

fof(f1220,definition,
    ( spl0_209
  <=> c3_1(a2233) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1223,plain,
    ( ~ spl0_209
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f222,f478,f1220]) ).

fof(f1225,definition,
    ( spl0_210
  <=> c1_1(a2233) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1226,plain,
    ( ~ c1_1(a2233)
    | spl0_210 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f1227,plain,
    ( ~ spl0_210
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f223,f478,f1225]) ).

fof(f1229,definition,
    ( spl0_211
  <=> c0_1(a2233) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1231,plain,
    ( ~ spl0_211
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f224,f478,f1229]) ).

fof(f1234,definition,
    ( spl0_212
  <=> c2_1(a2222) ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

fof(f1237,plain,
    ( ~ spl0_212
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f226,f516,f1234]) ).

fof(f1239,definition,
    ( spl0_213
  <=> c3_1(a2222) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1240,plain,
    ( c3_1(a2222)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1241,plain,
    ( spl0_213
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f227,f516,f1239]) ).

fof(f1243,definition,
    ( spl0_214
  <=> c0_1(a2222) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1245,plain,
    ( spl0_214
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f228,f516,f1243]) ).

fof(f1248,definition,
    ( spl0_215
  <=> c3_1(a2221) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f1249,plain,
    ( ~ c3_1(a2221)
    | spl0_215 ),
    inference(avatar_component_clause,[],[f1248]) ).

fof(f1251,plain,
    ( ~ spl0_215
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f230,f415,f1248]) ).

fof(f1253,definition,
    ( spl0_216
  <=> c2_1(a2221) ),
    introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).

fof(f1255,plain,
    ( spl0_216
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f231,f415,f1253]) ).

fof(f1257,definition,
    ( spl0_217
  <=> c0_1(a2221) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1259,plain,
    ( ~ spl0_217
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f232,f415,f1257]) ).

fof(f1262,definition,
    ( spl0_218
  <=> c3_1(a2220) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1263,plain,
    ( ~ c3_1(a2220)
    | spl0_218 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f1265,plain,
    ( ~ spl0_218
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f234,f530,f1262]) ).

fof(f1267,definition,
    ( spl0_219
  <=> c1_1(a2220) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1268,plain,
    ( ~ c1_1(a2220)
    | spl0_219 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1269,plain,
    ( ~ spl0_219
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f235,f530,f1267]) ).

fof(f1271,definition,
    ( spl0_220
  <=> c2_1(a2220) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1273,plain,
    ( ~ spl0_220
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f236,f530,f1271]) ).

fof(f1290,definition,
    ( spl0_224
  <=> c0_1(a2213) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1293,plain,
    ( ~ spl0_224
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f242,f557,f1290]) ).

fof(f1295,definition,
    ( spl0_225
  <=> c2_1(a2213) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

fof(f1297,plain,
    ( spl0_225
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f243,f557,f1295]) ).

fof(f1299,definition,
    ( spl0_226
  <=> c1_1(a2213) ),
    introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).

fof(f1300,plain,
    ( ~ c1_1(a2213)
    | spl0_226 ),
    inference(avatar_component_clause,[],[f1299]) ).

fof(f1301,plain,
    ( ~ spl0_226
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f244,f557,f1299]) ).

fof(f1318,definition,
    ( spl0_230
  <=> c3_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).

fof(f1319,plain,
    ( ~ c3_1(a2211)
    | spl0_230 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1321,plain,
    ( ~ spl0_230
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f250,f566,f1318]) ).

fof(f1323,definition,
    ( spl0_231
  <=> c1_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

fof(f1324,plain,
    ( ~ c1_1(a2211)
    | spl0_231 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f1325,plain,
    ( ~ spl0_231
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f251,f566,f1323]) ).

fof(f1327,definition,
    ( spl0_232
  <=> c2_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

fof(f1329,plain,
    ( spl0_232
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f252,f566,f1327]) ).

fof(f1332,definition,
    ( spl0_233
  <=> c2_1(a2209) ),
    introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).

fof(f1335,plain,
    ( ~ spl0_233
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f254,f572,f1332]) ).

fof(f1337,definition,
    ( spl0_234
  <=> c1_1(a2209) ),
    introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).

fof(f1338,plain,
    ( ~ c1_1(a2209)
    | spl0_234 ),
    inference(avatar_component_clause,[],[f1337]) ).

fof(f1339,plain,
    ( ~ spl0_234
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f255,f572,f1337]) ).

fof(f1341,definition,
    ( spl0_235
  <=> c0_1(a2209) ),
    introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).

fof(f1343,plain,
    ( spl0_235
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f256,f572,f1341]) ).

fof(f1346,definition,
    ( spl0_236
  <=> c3_1(a2206) ),
    introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).

fof(f1347,plain,
    ( ~ c3_1(a2206)
    | spl0_236 ),
    inference(avatar_component_clause,[],[f1346]) ).

fof(f1349,plain,
    ( ~ spl0_236
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f258,f453,f1346]) ).

fof(f1351,definition,
    ( spl0_237
  <=> c0_1(a2206) ),
    introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).

fof(f1353,plain,
    ( ~ spl0_237
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f259,f453,f1351]) ).

fof(f1355,definition,
    ( spl0_238
  <=> c2_1(a2206) ),
    introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).

fof(f1357,plain,
    ( ~ spl0_238
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f260,f453,f1355]) ).

fof(f1414,plain,
    ( spl0_2
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f277,f621,f343]) ).

fof(f1416,definition,
    ( spl0_251
  <=> c3_1(a2192) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

fof(f1417,plain,
    ( ~ c3_1(a2192)
    | spl0_251 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1419,plain,
    ( ~ spl0_251
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f278,f632,f1416]) ).

fof(f1421,definition,
    ( spl0_252
  <=> c1_1(a2192) ),
    introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).

fof(f1422,plain,
    ( c1_1(a2192)
    | ~ spl0_252 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1423,plain,
    ( spl0_252
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f279,f632,f1421]) ).

fof(f1425,definition,
    ( spl0_253
  <=> c0_1(a2192) ),
    introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).

fof(f1427,plain,
    ( ~ spl0_253
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f280,f632,f1425]) ).

fof(f1435,definition,
    ( spl0_255
  <=> c2_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1437,plain,
    ( ~ spl0_255
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f283,f554,f1435]) ).

fof(f1439,definition,
    ( spl0_256
  <=> c3_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1440,plain,
    ( c3_1(a2191)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f1439]) ).

fof(f1441,plain,
    ( spl0_256
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f284,f554,f1439]) ).

fof(f1444,definition,
    ( spl0_257
  <=> c0_1(a2190) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

fof(f1447,plain,
    ( ~ spl0_257
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f286,f569,f1444]) ).

fof(f1449,definition,
    ( spl0_258
  <=> c1_1(a2190) ),
    introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).

fof(f1450,plain,
    ( ~ c1_1(a2190)
    | spl0_258 ),
    inference(avatar_component_clause,[],[f1449]) ).

fof(f1451,plain,
    ( ~ spl0_258
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f287,f569,f1449]) ).

fof(f1453,definition,
    ( spl0_259
  <=> c2_1(a2190) ),
    introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).

fof(f1455,plain,
    ( spl0_259
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f288,f569,f1453]) ).

fof(f1472,definition,
    ( spl0_263
  <=> c2_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1475,plain,
    ( ~ spl0_263
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f294,f654,f1472]) ).

fof(f1477,definition,
    ( spl0_264
  <=> c0_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f1479,plain,
    ( ~ spl0_264
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f295,f654,f1477]) ).

fof(f1481,definition,
    ( spl0_265
  <=> c3_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f1482,plain,
    ( c3_1(a2182)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f1481]) ).

fof(f1483,plain,
    ( spl0_265
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f296,f654,f1481]) ).

fof(f1502,plain,
    ( ~ c0_1(a2185)
    | c2_1(a2185)
    | ~ spl0_6
    | ~ spl0_173 ),
    inference(resolution,[],[f357,f1053]) ).

fof(f1505,definition,
    ( spl0_269
  <=> c0_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f1510,definition,
    ( spl0_270
  <=> c0_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).

fof(f1520,definition,
    ( spl0_271
  <=> c0_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).

fof(f1536,definition,
    ( spl0_273
  <=> c0_1(a2220) ),
    introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).

fof(f1539,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(resolution,[],[f367,f357]) ).

fof(f1544,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1539]) ).

fof(f1558,definition,
    ( spl0_274
  <=> c2_1(a2233) ),
    introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).

fof(f1570,plain,
    ( ~ c0_1(a2185)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_174 ),
    inference(resolution,[],[f1544,f1058]) ).

fof(f1580,plain,
    ( c2_1(a2252)
    | ~ c0_1(a2252)
    | ~ spl0_14
    | spl0_93 ),
    inference(resolution,[],[f385,f679]) ).

fof(f1588,plain,
    ( ~ c2_1(a2213)
    | ~ c3_1(a2213)
    | ~ spl0_16
    | spl0_226 ),
    inference(resolution,[],[f392,f1300]) ).

fof(f1593,definition,
    ( spl0_275
  <=> c3_1(a2213) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

fof(f1594,plain,
    ( ~ c3_1(a2213)
    | spl0_275 ),
    inference(avatar_component_clause,[],[f1593]) ).

fof(f1602,plain,
    ( c3_1(a2233)
    | c0_1(a2233)
    | ~ spl0_17
    | spl0_210 ),
    inference(resolution,[],[f396,f1226]) ).

fof(f1606,plain,
    ( spl0_211
    | spl0_209
    | ~ spl0_17
    | spl0_210 ),
    inference(avatar_split_clause,[],[f1602,f1225,f395,f1220,f1229]) ).

fof(f1630,definition,
    ( spl0_277
  <=> c2_1(a2207) ),
    introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).

fof(f1660,plain,
    ( c0_1(a2185)
    | c2_1(a2185)
    | ~ spl0_20
    | ~ spl0_175 ),
    inference(resolution,[],[f406,f1062]) ).

fof(f1661,plain,
    ( c0_1(a2194)
    | c2_1(a2194)
    | ~ spl0_20
    | ~ spl0_158 ),
    inference(resolution,[],[f406,f983]) ).

fof(f1668,plain,
    ( spl0_174
    | spl0_269
    | ~ spl0_20
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1660,f1061,f405,f1505,f1057]) ).

fof(f1674,definition,
    ( spl0_280
  <=> c2_1(a2229) ),
    introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).

fof(f1680,plain,
    ( ~ c2_1(a2229)
    | ~ c3_1(a2229)
    | ~ spl0_16
    | spl0_120 ),
    inference(resolution,[],[f806,f392]) ).

fof(f1682,plain,
    ( ~ spl0_119
    | ~ spl0_280
    | ~ spl0_16
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1680,f805,f391,f1674,f800]) ).

fof(f1689,plain,
    ( c0_1(a2193)
    | ~ c2_1(a2193)
    | ~ spl0_5
    | ~ spl0_161 ),
    inference(resolution,[],[f997,f354]) ).

fof(f1702,definition,
    ( spl0_282
  <=> c2_1(a2192) ),
    introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).

fof(f1713,plain,
    ( ~ c2_1(a2213)
    | c0_1(a2213)
    | ~ spl0_8
    | spl0_226 ),
    inference(resolution,[],[f364,f1300]) ).

fof(f1715,plain,
    ( ~ c2_1(a2233)
    | c0_1(a2233)
    | ~ spl0_8
    | spl0_210 ),
    inference(resolution,[],[f364,f1226]) ).

fof(f1720,plain,
    ( spl0_211
    | ~ spl0_274
    | ~ spl0_8
    | spl0_210 ),
    inference(avatar_split_clause,[],[f1715,f1225,f363,f1558,f1229]) ).

fof(f1721,plain,
    ( spl0_224
    | ~ spl0_225
    | ~ spl0_8
    | spl0_226 ),
    inference(avatar_split_clause,[],[f1713,f1299,f363,f1295,f1290]) ).

fof(f1725,definition,
    ( spl0_283
  <=> c0_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

fof(f1728,plain,
    ( ~ c0_1(a2191)
    | c2_1(a2191)
    | ~ spl0_6
    | ~ spl0_256 ),
    inference(resolution,[],[f1440,f357]) ).

fof(f1732,plain,
    ( spl0_255
    | ~ spl0_283
    | ~ spl0_6
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f1728,f1439,f356,f1725,f1435]) ).

fof(f1741,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(resolution,[],[f413,f364]) ).

fof(f1748,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1741]) ).

fof(f1764,plain,
    ( spl0_11
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1748,f412,f363,f373]) ).

fof(f1780,plain,
    ( ~ c2_1(a2213)
    | c0_1(a2213)
    | ~ spl0_11
    | spl0_275 ),
    inference(resolution,[],[f374,f1594]) ).

fof(f1791,plain,
    ( spl0_224
    | ~ spl0_225
    | ~ spl0_11
    | spl0_275 ),
    inference(avatar_split_clause,[],[f1780,f1593,f373,f1295,f1290]) ).

fof(f1795,definition,
    ( spl0_286
  <=> c0_1(a2242) ),
    introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).

fof(f1802,definition,
    ( spl0_287
  <=> c0_1(a2234) ),
    introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).

fof(f1806,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(resolution,[],[f399,f406]) ).

fof(f1818,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1806]) ).

fof(f1827,definition,
    ( spl0_288
  <=> c3_1(a2209) ),
    introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).

fof(f1832,plain,
    ( spl0_13
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1818,f405,f398,f380]) ).

fof(f1834,plain,
    ( c2_1(a2192)
    | c0_1(a2192)
    | ~ spl0_13
    | spl0_251 ),
    inference(resolution,[],[f381,f1417]) ).

fof(f1835,plain,
    ( c2_1(a2206)
    | c0_1(a2206)
    | ~ spl0_13
    | spl0_236 ),
    inference(resolution,[],[f381,f1347]) ).

fof(f1845,plain,
    ( spl0_237
    | spl0_238
    | ~ spl0_13
    | spl0_236 ),
    inference(avatar_split_clause,[],[f1835,f1346,f380,f1355,f1351]) ).

fof(f1846,plain,
    ( spl0_253
    | spl0_282
    | ~ spl0_13
    | spl0_251 ),
    inference(avatar_split_clause,[],[f1834,f1416,f380,f1702,f1425]) ).

fof(f1850,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(resolution,[],[f341,f406]) ).

fof(f1854,plain,
    ( c2_1(a2209)
    | ~ c3_1(a2209)
    | ~ spl0_1
    | spl0_234 ),
    inference(resolution,[],[f341,f1338]) ).

fof(f1862,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1850]) ).

fof(f1868,plain,
    ( ~ spl0_288
    | spl0_233
    | ~ spl0_1
    | spl0_234 ),
    inference(avatar_split_clause,[],[f1854,f1337,f340,f1332,f1827]) ).

fof(f1874,plain,
    ( spl0_21
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1862,f405,f340,f408]) ).

fof(f1921,plain,
    ( ~ c0_1(a2220)
    | c2_1(a2220)
    | ~ spl0_9
    | spl0_218 ),
    inference(resolution,[],[f367,f1263]) ).

fof(f1924,plain,
    ( ~ c0_1(a2186)
    | c2_1(a2186)
    | ~ spl0_9
    | spl0_172 ),
    inference(resolution,[],[f367,f1048]) ).

fof(f1925,plain,
    ( ~ c0_1(a2207)
    | c2_1(a2207)
    | ~ spl0_9
    | spl0_141 ),
    inference(resolution,[],[f367,f904]) ).

fof(f1948,definition,
    ( spl0_292
  <=> c3_1(a2226) ),
    introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).

fof(f1990,plain,
    ( ~ c0_1(a2226)
    | ~ c3_1(a2226)
    | ~ spl0_24
    | spl0_126 ),
    inference(resolution,[],[f420,f834]) ).

fof(f2009,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(resolution,[],[f433,f399]) ).

fof(f2012,plain,
    ( c3_1(a2192)
    | c0_1(a2192)
    | ~ spl0_28
    | ~ spl0_252 ),
    inference(resolution,[],[f433,f1422]) ).

fof(f2016,plain,
    ( c3_1(a2205)
    | c0_1(a2205)
    | ~ spl0_28
    | ~ spl0_143 ),
    inference(resolution,[],[f433,f913]) ).

fof(f2022,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f2009]) ).

fof(f2025,definition,
    ( spl0_293
  <=> c3_1(a2205) ),
    introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).

fof(f2034,plain,
    ( ~ c0_1(a2244)
    | ~ c3_1(a2244)
    | ~ spl0_24
    | spl0_200 ),
    inference(resolution,[],[f1179,f420]) ).

fof(f2037,plain,
    ( c2_1(a2244)
    | ~ c3_1(a2244)
    | ~ spl0_1
    | spl0_200 ),
    inference(resolution,[],[f1179,f341]) ).

fof(f2038,plain,
    ( c3_1(a2244)
    | c2_1(a2244)
    | ~ spl0_18
    | spl0_200 ),
    inference(resolution,[],[f1179,f399]) ).

fof(f2043,definition,
    ( spl0_294
  <=> c3_1(a2244) ),
    introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).

fof(f2055,definition,
    ( spl0_295
  <=> c2_1(a2243) ),
    introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).

fof(f2072,plain,
    ( ~ c2_1(a2226)
    | ~ c0_1(a2226)
    | ~ spl0_30
    | spl0_126 ),
    inference(resolution,[],[f440,f834]) ).

fof(f2100,definition,
    ( spl0_297
  <=> c2_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).

fof(f2108,definition,
    ( spl0_298
  <=> c0_1(a2204) ),
    introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).

fof(f2113,plain,
    ( ~ c2_1(a2204)
    | ~ c3_1(a2204)
    | ~ spl0_16
    | spl0_147 ),
    inference(resolution,[],[f932,f392]) ).

fof(f2116,plain,
    ( ~ c0_1(a2204)
    | ~ c3_1(a2204)
    | ~ spl0_24
    | spl0_147 ),
    inference(resolution,[],[f932,f420]) ).

fof(f2134,definition,
    ( spl0_299
  <=> c2_1(a2245) ),
    introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).

fof(f2150,plain,
    ( ~ c3_1(a2185)
    | c2_1(a2185)
    | ~ spl0_35
    | ~ spl0_175 ),
    inference(resolution,[],[f457,f1062]) ).

fof(f2166,definition,
    ( spl0_300
  <=> c2_1(a2240) ),
    introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).

fof(f2184,plain,
    ( ~ c0_1(a2244)
    | c3_1(a2244)
    | ~ spl0_36
    | spl0_200 ),
    inference(resolution,[],[f461,f1179]) ).

fof(f2202,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_37 ),
    inference(resolution,[],[f464,f364]) ).

fof(f2215,plain,
    ( ~ c2_1(a2234)
    | ~ c3_1(a2234)
    | ~ spl0_37
    | ~ spl0_112 ),
    inference(resolution,[],[f464,f768]) ).

fof(f2219,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f2202]) ).

fof(f2244,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f2219,f463,f363,f353]) ).

fof(f2245,plain,
    ( ~ c0_1(a2237)
    | c2_1(a2237)
    | ~ spl0_9
    | spl0_206 ),
    inference(resolution,[],[f1207,f367]) ).

fof(f2248,definition,
    ( spl0_302
  <=> c2_1(a2237) ),
    introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).

fof(f2270,plain,
    ( ~ c0_1(a2207)
    | c3_1(a2207)
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(resolution,[],[f483,f908]) ).

fof(f2296,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_43 ),
    inference(resolution,[],[f486,f341]) ).

fof(f2297,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_43 ),
    inference(resolution,[],[f486,f364]) ).

fof(f2306,plain,
    ( c0_1(a2189)
    | ~ c3_1(a2189)
    | ~ spl0_43
    | ~ spl0_165 ),
    inference(resolution,[],[f486,f1016]) ).

fof(f2308,plain,
    ( c0_1(a2205)
    | ~ c3_1(a2205)
    | ~ spl0_43
    | ~ spl0_143 ),
    inference(resolution,[],[f486,f913]) ).

fof(f2316,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f2297]) ).

fof(f2317,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f2296]) ).

fof(f2320,plain,
    ( ~ spl0_293
    | spl0_144
    | ~ spl0_43
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2308,f912,f485,f917,f2025]) ).

fof(f2322,plain,
    ( ~ spl0_164
    | spl0_166
    | ~ spl0_43
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2306,f1015,f485,f1019,f1010]) ).

fof(f2326,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2316,f485,f363,f353]) ).

fof(f2360,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(resolution,[],[f413,f396]) ).

fof(f2363,plain,
    ( ~ c2_1(a2192)
    | c3_1(a2192)
    | ~ spl0_22
    | ~ spl0_252 ),
    inference(resolution,[],[f413,f1422]) ).

fof(f2371,plain,
    ( ~ c2_1(a2207)
    | c3_1(a2207)
    | ~ spl0_22
    | ~ spl0_142 ),
    inference(resolution,[],[f413,f908]) ).

fof(f2378,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2360]) ).

fof(f2389,plain,
    ( spl0_251
    | ~ spl0_282
    | ~ spl0_22
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2363,f1421,f412,f1702,f1416]) ).

fof(f2447,plain,
    ( ~ c0_1(a2222)
    | c2_1(a2222)
    | ~ spl0_6
    | ~ spl0_213 ),
    inference(resolution,[],[f357,f1240]) ).

fof(f2449,plain,
    ( ~ c0_1(a2245)
    | c2_1(a2245)
    | ~ spl0_6
    | ~ spl0_199 ),
    inference(resolution,[],[f357,f1174]) ).

fof(f2451,plain,
    ( ~ c0_1(a2194)
    | c2_1(a2194)
    | ~ spl0_6
    | ~ spl0_160 ),
    inference(resolution,[],[f357,f992]) ).

fof(f2453,plain,
    ( ~ c0_1(a2208)
    | c2_1(a2208)
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(resolution,[],[f357,f890]) ).

fof(f2455,plain,
    ( ~ c0_1(a2229)
    | c2_1(a2229)
    | ~ spl0_6
    | ~ spl0_119 ),
    inference(resolution,[],[f357,f801]) ).

fof(f2457,plain,
    ( ~ c0_1(a2240)
    | c2_1(a2240)
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(resolution,[],[f357,f736]) ).

fof(f2458,plain,
    ( ~ c0_1(a2243)
    | c2_1(a2243)
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(resolution,[],[f357,f689]) ).

fof(f2468,plain,
    ( spl0_299
    | ~ spl0_198
    | ~ spl0_6
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2449,f1173,f356,f1169,f2134]) ).

fof(f2472,plain,
    ( spl0_13
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2022,f432,f398,f380]) ).

fof(f2476,plain,
    ( spl0_144
    | spl0_293
    | ~ spl0_28
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2016,f912,f432,f2025,f917]) ).

fof(f2477,plain,
    ( ~ spl0_269
    | ~ spl0_6
    | ~ spl0_9
    | spl0_174 ),
    inference(avatar_split_clause,[],[f1570,f1057,f366,f356,f1505]) ).

fof(f2498,plain,
    ( spl0_141
    | ~ spl0_140
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2270,f907,f482,f898,f903]) ).

fof(f2520,plain,
    ( c3_1(a2233)
    | c2_1(a2233)
    | ~ spl0_18
    | spl0_210 ),
    inference(resolution,[],[f1226,f399]) ).

fof(f2521,plain,
    ( spl0_274
    | spl0_209
    | ~ spl0_18
    | spl0_210 ),
    inference(avatar_split_clause,[],[f2520,f1225,f398,f1220,f1558]) ).

fof(f2528,plain,
    ( c2_1(a2220)
    | ~ c0_1(a2220)
    | ~ spl0_14
    | spl0_219 ),
    inference(resolution,[],[f385,f1268]) ).

fof(f2542,plain,
    ( ~ c2_1(a2245)
    | ~ c3_1(a2245)
    | ~ spl0_16
    | spl0_197 ),
    inference(resolution,[],[f392,f1165]) ).

fof(f2543,plain,
    ( ~ c2_1(a2226)
    | ~ c3_1(a2226)
    | ~ spl0_16
    | spl0_126 ),
    inference(resolution,[],[f392,f834]) ).

fof(f2547,plain,
    ( ~ spl0_199
    | ~ spl0_299
    | ~ spl0_16
    | spl0_197 ),
    inference(avatar_split_clause,[],[f2542,f1164,f391,f2134,f1173]) ).

fof(f2554,plain,
    ( ~ c2_1(a2245)
    | ~ c0_1(a2245)
    | ~ spl0_19
    | ~ spl0_199 ),
    inference(resolution,[],[f403,f1174]) ).

fof(f2559,plain,
    ( ~ c2_1(a2204)
    | ~ c0_1(a2204)
    | ~ spl0_19
    | ~ spl0_146 ),
    inference(resolution,[],[f403,f927]) ).

fof(f2569,plain,
    ( ~ spl0_298
    | ~ spl0_148
    | ~ spl0_19
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2559,f926,f402,f935,f2108]) ).

fof(f2571,plain,
    ( ~ spl0_198
    | ~ spl0_299
    | ~ spl0_19
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2554,f1173,f402,f2134,f1169]) ).

fof(f2578,plain,
    ( ~ c0_1(a2209)
    | ~ c3_1(a2209)
    | ~ spl0_24
    | spl0_234 ),
    inference(resolution,[],[f420,f1338]) ).

fof(f2582,plain,
    ( ~ c0_1(a2226)
    | ~ c3_1(a2226)
    | ~ spl0_24
    | spl0_126 ),
    inference(resolution,[],[f420,f834]) ).

fof(f2585,plain,
    ( ~ spl0_288
    | ~ spl0_235
    | ~ spl0_24
    | spl0_234 ),
    inference(avatar_split_clause,[],[f2578,f1337,f419,f1341,f1827]) ).

fof(f2586,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(resolution,[],[f461,f413]) ).

fof(f2588,plain,
    ( ~ c0_1(a2209)
    | c3_1(a2209)
    | ~ spl0_36
    | spl0_234 ),
    inference(resolution,[],[f461,f1338]) ).

fof(f2589,plain,
    ( ~ c0_1(a2211)
    | c3_1(a2211)
    | ~ spl0_36
    | spl0_231 ),
    inference(resolution,[],[f461,f1324]) ).

fof(f2592,plain,
    ( ~ c0_1(a2226)
    | c3_1(a2226)
    | ~ spl0_36
    | spl0_126 ),
    inference(resolution,[],[f461,f834]) ).

fof(f2593,plain,
    ( ~ c0_1(a2242)
    | c3_1(a2242)
    | ~ spl0_36
    | spl0_100 ),
    inference(resolution,[],[f461,f712]) ).

fof(f2594,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f2586]) ).

fof(f2597,plain,
    ( spl0_288
    | ~ spl0_235
    | ~ spl0_36
    | spl0_234 ),
    inference(avatar_split_clause,[],[f2588,f1337,f460,f1341,f1827]) ).

fof(f2599,plain,
    ( spl0_7
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2594,f460,f412,f360]) ).

fof(f2604,plain,
    ( ~ c2_1(a2211)
    | ~ c0_1(a2211)
    | ~ spl0_7
    | spl0_230 ),
    inference(resolution,[],[f361,f1319]) ).

fof(f2611,plain,
    ( ~ c2_1(a2218)
    | ~ c0_1(a2218)
    | ~ spl0_7
    | spl0_129 ),
    inference(resolution,[],[f361,f848]) ).

fof(f2626,plain,
    ( spl0_21
    | ~ spl0_1
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2317,f485,f340,f408]) ).

fof(f2669,plain,
    ( c2_1(a2185)
    | c0_1(a2185)
    | ~ spl0_21
    | ~ spl0_173 ),
    inference(resolution,[],[f409,f1053]) ).

fof(f2679,plain,
    ( spl0_269
    | spl0_174
    | ~ spl0_21
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f2669,f1052,f408,f1057,f1505]) ).

fof(f2685,plain,
    ( spl0_174
    | ~ spl0_269
    | ~ spl0_6
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1502,f1052,f356,f1505,f1057]) ).

fof(f2690,plain,
    ( spl0_139
    | ~ spl0_137
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2453,f889,f356,f884,f893]) ).

fof(f2712,plain,
    ( spl0_11
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2378,f412,f395,f373]) ).

fof(f2719,plain,
    ( spl0_253
    | spl0_251
    | ~ spl0_28
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2012,f1421,f432,f1416,f1425]) ).

fof(f2735,plain,
    ( ~ c2_1(a2243)
    | ~ c0_1(a2243)
    | ~ spl0_19
    | ~ spl0_95 ),
    inference(resolution,[],[f689,f403]) ).

fof(f2737,plain,
    ( ~ spl0_96
    | ~ spl0_295
    | ~ spl0_19
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2735,f688,f402,f2055,f693]) ).

fof(f2752,definition,
    ( spl0_305
  <=> c2_1(a2246) ),
    introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).

fof(f2755,plain,
    ( ~ c2_1(a2246)
    | c3_1(a2246)
    | ~ spl0_22
    | ~ spl0_196 ),
    inference(resolution,[],[f1160,f413]) ).

fof(f2758,plain,
    ( spl0_194
    | ~ spl0_305
    | ~ spl0_22
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f2755,f1159,f412,f2752,f1150]) ).

fof(f2785,plain,
    ( ~ c2_1(a2221)
    | c0_1(a2221)
    | ~ spl0_11
    | spl0_215 ),
    inference(resolution,[],[f374,f1249]) ).

fof(f2787,plain,
    ( ~ c2_1(a2239)
    | c0_1(a2239)
    | ~ spl0_11
    | spl0_203 ),
    inference(resolution,[],[f374,f1193]) ).

fof(f2800,plain,
    ( spl0_204
    | ~ spl0_205
    | ~ spl0_11
    | spl0_203 ),
    inference(avatar_split_clause,[],[f2787,f1192,f373,f1201,f1197]) ).

fof(f2848,plain,
    ( ~ c2_1(a2243)
    | ~ c3_1(a2243)
    | ~ spl0_37
    | ~ spl0_97 ),
    inference(resolution,[],[f464,f698]) ).

fof(f2852,plain,
    ( ~ spl0_95
    | ~ spl0_295
    | ~ spl0_37
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2848,f697,f463,f2055,f688]) ).

fof(f2860,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(resolution,[],[f490,f396]) ).

fof(f2864,plain,
    ( ~ c2_1(a2192)
    | c0_1(a2192)
    | ~ spl0_44
    | ~ spl0_252 ),
    inference(resolution,[],[f490,f1422]) ).

fof(f2869,plain,
    ( ~ c2_1(a2189)
    | c0_1(a2189)
    | ~ spl0_44
    | ~ spl0_165 ),
    inference(resolution,[],[f490,f1016]) ).

fof(f2873,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f2860]) ).

fof(f2875,plain,
    ( spl0_166
    | ~ spl0_297
    | ~ spl0_44
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2869,f1015,f489,f2100,f1019]) ).

fof(f2879,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(resolution,[],[f506,f490]) ).

fof(f2880,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(resolution,[],[f506,f464]) ).

fof(f2887,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f2880]) ).

fof(f2888,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f2879]) ).

fof(f2895,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_51 ),
    inference(resolution,[],[f514,f385]) ).

fof(f2901,plain,
    ( c2_1(a2192)
    | c3_1(a2192)
    | ~ spl0_51
    | ~ spl0_252 ),
    inference(resolution,[],[f514,f1422]) ).

fof(f2903,plain,
    ( c2_1(a2246)
    | c3_1(a2246)
    | ~ spl0_51
    | ~ spl0_196 ),
    inference(resolution,[],[f514,f1160]) ).

fof(f2905,plain,
    ( c2_1(a2188)
    | c3_1(a2188)
    | ~ spl0_51
    | ~ spl0_167 ),
    inference(resolution,[],[f514,f1025]) ).

fof(f2912,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f2895]) ).

fof(f2914,plain,
    ( spl0_169
    | spl0_168
    | ~ spl0_51
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2905,f1024,f513,f1029,f1033]) ).

fof(f2918,plain,
    ( spl0_251
    | spl0_282
    | ~ spl0_51
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2901,f1421,f513,f1702,f1416]) ).

fof(f2923,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_69 ),
    inference(resolution,[],[f584,f341]) ).

fof(f2927,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(resolution,[],[f584,f399]) ).

fof(f2934,plain,
    ( c2_1(a2185)
    | ~ c0_1(a2185)
    | ~ spl0_69
    | ~ spl0_175 ),
    inference(resolution,[],[f584,f1062]) ).

fof(f2941,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f2927]) ).

fof(f2943,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f2923]) ).

fof(f2949,plain,
    ( spl0_6
    | ~ spl0_1
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2943,f583,f340,f356]) ).

fof(f2981,plain,
    ( ~ spl0_269
    | spl0_174
    | ~ spl0_69
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2934,f1061,f583,f1057,f1505]) ).

fof(f2982,plain,
    ( spl0_9
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2941,f583,f398,f366]) ).

fof(f2986,plain,
    ( spl0_174
    | ~ spl0_173
    | ~ spl0_35
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2150,f1061,f456,f1052,f1057]) ).

fof(f3037,plain,
    ( ~ c2_1(a2237)
    | c3_1(a2237)
    | ~ spl0_22
    | ~ spl0_208 ),
    inference(resolution,[],[f1216,f413]) ).

fof(f3038,plain,
    ( spl0_206
    | ~ spl0_302
    | ~ spl0_22
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f3037,f1215,f412,f2248,f1206]) ).

fof(f3039,plain,
    ( ~ c2_1(a2192)
    | c0_1(a2192)
    | ~ spl0_11
    | spl0_251 ),
    inference(resolution,[],[f1417,f374]) ).

fof(f3040,plain,
    ( spl0_253
    | ~ spl0_282
    | ~ spl0_11
    | spl0_251 ),
    inference(avatar_split_clause,[],[f3039,f1416,f373,f1702,f1425]) ).

fof(f3050,plain,
    ( c2_1(a2182)
    | c0_1(a2182)
    | ~ spl0_21
    | ~ spl0_265 ),
    inference(resolution,[],[f409,f1482]) ).

fof(f3058,plain,
    ( c2_1(a2189)
    | c0_1(a2189)
    | ~ spl0_21
    | ~ spl0_164 ),
    inference(resolution,[],[f409,f1011]) ).

fof(f3069,plain,
    ( spl0_166
    | spl0_297
    | ~ spl0_21
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f3058,f1010,f408,f2100,f1019]) ).

fof(f3074,plain,
    ( spl0_264
    | spl0_263
    | ~ spl0_21
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f3050,f1481,f408,f1472,f1477]) ).

fof(f3085,plain,
    ( ~ c3_1(a2189)
    | c2_1(a2189)
    | ~ spl0_35
    | ~ spl0_165 ),
    inference(resolution,[],[f457,f1016]) ).

fof(f3086,plain,
    ( ~ c3_1(a2194)
    | c2_1(a2194)
    | ~ spl0_35
    | ~ spl0_158 ),
    inference(resolution,[],[f457,f983]) ).

fof(f3090,plain,
    ( ~ c3_1(a2240)
    | c2_1(a2240)
    | ~ spl0_35
    | ~ spl0_106 ),
    inference(resolution,[],[f457,f740]) ).

fof(f3097,plain,
    ( spl0_159
    | ~ spl0_160
    | ~ spl0_35
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3086,f982,f456,f991,f987]) ).

fof(f3098,plain,
    ( spl0_297
    | ~ spl0_164
    | ~ spl0_35
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f3085,f1015,f456,f1010,f2100]) ).

fof(f3115,plain,
    ( ~ c2_1(a2240)
    | ~ c0_1(a2240)
    | ~ spl0_73
    | ~ spl0_106 ),
    inference(resolution,[],[f601,f740]) ).

fof(f3119,plain,
    ( ~ spl0_104
    | ~ spl0_300
    | ~ spl0_73
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f3115,f739,f600,f2166,f730]) ).

fof(f3126,plain,
    ( spl0_201
    | spl0_294
    | ~ spl0_18
    | spl0_200 ),
    inference(avatar_split_clause,[],[f2038,f1178,f398,f2043,f1183]) ).

fof(f3130,plain,
    ( ~ c2_1(a2241)
    | ~ c0_1(a2241)
    | ~ spl0_73
    | ~ spl0_103 ),
    inference(resolution,[],[f726,f601]) ).

fof(f3134,plain,
    ( ~ spl0_102
    | ~ spl0_101
    | ~ spl0_73
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3130,f725,f600,f716,f721]) ).

fof(f3136,plain,
    ( spl0_295
    | ~ spl0_96
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2458,f688,f356,f693,f2055]) ).

fof(f3137,plain,
    ( spl0_212
    | ~ spl0_214
    | ~ spl0_6
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f2447,f1239,f356,f1243,f1234]) ).

fof(f3139,plain,
    ( spl0_300
    | ~ spl0_104
    | ~ spl0_6
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2457,f735,f356,f730,f2166]) ).

fof(f3146,plain,
    ( ~ spl0_271
    | ~ spl0_232
    | ~ spl0_7
    | spl0_230 ),
    inference(avatar_split_clause,[],[f2604,f1318,f360,f1327,f1520]) ).

fof(f3150,plain,
    ( ~ spl0_130
    | ~ spl0_128
    | ~ spl0_7
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2611,f847,f360,f842,f851]) ).

fof(f3152,plain,
    ( ~ spl0_275
    | ~ spl0_225
    | ~ spl0_16
    | spl0_226 ),
    inference(avatar_split_clause,[],[f1588,f1299,f391,f1295,f1593]) ).

fof(f3156,plain,
    ( ~ spl0_146
    | ~ spl0_148
    | ~ spl0_16
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2113,f931,f391,f935,f926]) ).

fof(f3158,plain,
    ( ~ spl0_292
    | ~ spl0_127
    | ~ spl0_16
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2543,f833,f391,f837,f1948]) ).

fof(f3159,plain,
    ( ~ spl0_294
    | ~ spl0_202
    | ~ spl0_24
    | spl0_200 ),
    inference(avatar_split_clause,[],[f2034,f1178,f419,f1187,f2043]) ).

fof(f3162,plain,
    ( ~ spl0_292
    | ~ spl0_125
    | ~ spl0_24
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1990,f833,f419,f828,f1948]) ).

fof(f3163,plain,
    ( ~ spl0_146
    | ~ spl0_298
    | ~ spl0_24
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2116,f931,f419,f2108,f926]) ).

fof(f3165,plain,
    ( ~ spl0_292
    | ~ spl0_125
    | ~ spl0_24
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2582,f833,f419,f828,f1948]) ).

fof(f3176,plain,
    ( ~ spl0_125
    | ~ spl0_127
    | ~ spl0_30
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2072,f833,f439,f837,f828]) ).

fof(f3183,plain,
    ( spl0_294
    | ~ spl0_202
    | ~ spl0_36
    | spl0_200 ),
    inference(avatar_split_clause,[],[f2184,f1178,f460,f1187,f2043]) ).

fof(f3187,plain,
    ( spl0_230
    | ~ spl0_271
    | ~ spl0_36
    | spl0_231 ),
    inference(avatar_split_clause,[],[f2589,f1323,f460,f1520,f1318]) ).

fof(f3189,plain,
    ( spl0_292
    | ~ spl0_125
    | ~ spl0_36
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2592,f833,f460,f828,f1948]) ).

fof(f3190,plain,
    ( spl0_99
    | ~ spl0_286
    | ~ spl0_36
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2593,f711,f460,f1795,f707]) ).

fof(f3198,plain,
    ( spl0_5
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2888,f505,f489,f353]) ).

fof(f3204,plain,
    ( spl0_194
    | spl0_305
    | ~ spl0_51
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f2903,f1159,f513,f2752,f1150]) ).

fof(f3210,plain,
    ( spl0_141
    | ~ spl0_277
    | ~ spl0_22
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2371,f907,f412,f1630,f903]) ).

fof(f3221,plain,
    ( ~ spl0_111
    | ~ spl0_110
    | ~ spl0_37
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2215,f767,f463,f758,f763]) ).

fof(f3223,plain,
    ( spl0_5
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2887,f505,f463,f353]) ).

fof(f3235,plain,
    ( ~ spl0_294
    | spl0_201
    | ~ spl0_1
    | spl0_200 ),
    inference(avatar_split_clause,[],[f2037,f1178,f340,f1183,f2043]) ).

fof(f3249,plain,
    ( spl0_217
    | ~ spl0_216
    | ~ spl0_11
    | spl0_215 ),
    inference(avatar_split_clause,[],[f2785,f1248,f373,f1253,f1257]) ).

fof(f3255,plain,
    ( ~ spl0_92
    | spl0_94
    | ~ spl0_14
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1580,f678,f384,f682,f673]) ).

fof(f3256,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2912,f513,f384,f366]) ).

fof(f3258,plain,
    ( ~ spl0_273
    | spl0_220
    | ~ spl0_14
    | spl0_219 ),
    inference(avatar_split_clause,[],[f2528,f1267,f384,f1271,f1536]) ).

fof(f3262,plain,
    ( spl0_159
    | spl0_270
    | ~ spl0_20
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1661,f982,f405,f1510,f987]) ).

fof(f3268,plain,
    ( spl0_300
    | ~ spl0_105
    | ~ spl0_35
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f3090,f739,f456,f735,f2166]) ).

fof(f3272,plain,
    ( spl0_280
    | ~ spl0_121
    | ~ spl0_6
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2455,f800,f356,f809,f1674]) ).

fof(f3278,plain,
    ( spl0_159
    | ~ spl0_270
    | ~ spl0_6
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2451,f991,f356,f1510,f987]) ).

fof(f3299,plain,
    ( ~ spl0_163
    | spl0_162
    | ~ spl0_5
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1689,f996,f353,f1001,f1005]) ).

fof(f3334,plain,
    ( spl0_220
    | ~ spl0_273
    | ~ spl0_9
    | spl0_218 ),
    inference(avatar_split_clause,[],[f1921,f1262,f366,f1536,f1271]) ).

fof(f3336,plain,
    ( spl0_171
    | ~ spl0_170
    | ~ spl0_9
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1924,f1047,f366,f1038,f1043]) ).

fof(f3337,plain,
    ( spl0_277
    | ~ spl0_140
    | ~ spl0_9
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1925,f903,f366,f898,f1630]) ).

fof(f3340,plain,
    ( spl0_302
    | ~ spl0_207
    | ~ spl0_9
    | spl0_206 ),
    inference(avatar_split_clause,[],[f2245,f1206,f366,f1211,f2248]) ).

fof(f3359,plain,
    ( spl0_11
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2873,f489,f395,f373]) ).

fof(f3388,plain,
    ( spl0_253
    | ~ spl0_282
    | ~ spl0_44
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2864,f1421,f489,f1702,f1425]) ).

fof(f3420,plain,
    ( ~ c3_1(a2243)
    | c2_1(a2243)
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(resolution,[],[f698,f457]) ).

fof(f3421,plain,
    ( spl0_295
    | ~ spl0_95
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f3420,f697,f456,f688,f2055]) ).

fof(f3430,plain,
    ( c2_1(a2201)
    | c0_1(a2201)
    | ~ spl0_21
    | ~ spl0_149 ),
    inference(resolution,[],[f941,f409]) ).

fof(f3433,definition,
    ( spl0_308
  <=> c2_1(a2201) ),
    introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).

fof(f3435,plain,
    ( spl0_150
    | spl0_308
    | ~ spl0_21
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3430,f940,f408,f3433,f945]) ).

fof(f3436,plain,
    ( c2_1(a2194)
    | c0_1(a2194)
    | ~ spl0_21
    | ~ spl0_160 ),
    inference(resolution,[],[f992,f409]) ).

fof(f3437,plain,
    ( spl0_270
    | spl0_159
    | ~ spl0_21
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f3436,f991,f408,f987,f1510]) ).

fof(f3443,plain,
    ( c2_1(a2191)
    | c0_1(a2191)
    | ~ spl0_21
    | ~ spl0_256 ),
    inference(resolution,[],[f1440,f409]) ).

fof(f3444,plain,
    ( spl0_283
    | spl0_255
    | ~ spl0_21
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f3443,f1439,f408,f1435,f1725]) ).

fof(f3450,plain,
    ( c0_1(a2189)
    | ~ c2_1(a2189)
    | ~ spl0_5
    | ~ spl0_164 ),
    inference(resolution,[],[f354,f1011]) ).

fof(f3452,plain,
    ( c0_1(a2201)
    | ~ c2_1(a2201)
    | ~ spl0_5
    | ~ spl0_149 ),
    inference(resolution,[],[f354,f941]) ).

fof(f3456,plain,
    ( c0_1(a2228)
    | ~ c2_1(a2228)
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(resolution,[],[f354,f820]) ).

fof(f3465,plain,
    ( ~ spl0_122
    | spl0_124
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f3456,f819,f353,f823,f814]) ).

fof(f3468,plain,
    ( ~ spl0_308
    | spl0_150
    | ~ spl0_5
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3452,f940,f353,f945,f3433]) ).

fof(f3470,plain,
    ( ~ spl0_297
    | spl0_166
    | ~ spl0_5
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f3450,f1010,f353,f1019,f2100]) ).

fof(f3479,plain,
    ( ~ c2_1(a2190)
    | c0_1(a2190)
    | ~ spl0_8
    | spl0_258 ),
    inference(resolution,[],[f364,f1450]) ).

fof(f3484,plain,
    ( ~ c2_1(a2211)
    | c0_1(a2211)
    | ~ spl0_8
    | spl0_231 ),
    inference(resolution,[],[f364,f1324]) ).

fof(f3488,plain,
    ( ~ c2_1(a2201)
    | c0_1(a2201)
    | ~ spl0_8
    | spl0_151 ),
    inference(resolution,[],[f364,f950]) ).

fof(f3489,plain,
    ( ~ c2_1(a2204)
    | c0_1(a2204)
    | ~ spl0_8
    | spl0_147 ),
    inference(resolution,[],[f364,f932]) ).

fof(f3490,plain,
    ( ~ c2_1(a2242)
    | c0_1(a2242)
    | ~ spl0_8
    | spl0_100 ),
    inference(resolution,[],[f364,f712]) ).

fof(f3492,plain,
    ( spl0_286
    | ~ spl0_98
    | ~ spl0_8
    | spl0_100 ),
    inference(avatar_split_clause,[],[f3490,f711,f363,f702,f1795]) ).

fof(f3493,plain,
    ( spl0_298
    | ~ spl0_148
    | ~ spl0_8
    | spl0_147 ),
    inference(avatar_split_clause,[],[f3489,f931,f363,f935,f2108]) ).

fof(f3494,plain,
    ( spl0_150
    | ~ spl0_308
    | ~ spl0_8
    | spl0_151 ),
    inference(avatar_split_clause,[],[f3488,f949,f363,f3433,f945]) ).

fof(f3496,plain,
    ( spl0_271
    | ~ spl0_232
    | ~ spl0_8
    | spl0_231 ),
    inference(avatar_split_clause,[],[f3484,f1323,f363,f1327,f1520]) ).

fof(f3499,plain,
    ( spl0_257
    | ~ spl0_259
    | ~ spl0_8
    | spl0_258 ),
    inference(avatar_split_clause,[],[f3479,f1449,f363,f1453,f1444]) ).

fof(f3507,plain,
    ( c3_1(a2211)
    | c0_1(a2211)
    | ~ spl0_17
    | spl0_231 ),
    inference(resolution,[],[f396,f1324]) ).

fof(f3508,plain,
    ( c3_1(a2220)
    | c0_1(a2220)
    | ~ spl0_17
    | spl0_219 ),
    inference(resolution,[],[f396,f1268]) ).

fof(f3516,plain,
    ( spl0_273
    | spl0_218
    | ~ spl0_17
    | spl0_219 ),
    inference(avatar_split_clause,[],[f3508,f1267,f395,f1262,f1536]) ).

fof(f3517,plain,
    ( spl0_271
    | spl0_230
    | ~ spl0_17
    | spl0_231 ),
    inference(avatar_split_clause,[],[f3507,f1323,f395,f1318,f1520]) ).

fof(f3533,plain,
    ( c3_1(a2220)
    | c2_1(a2220)
    | ~ spl0_18
    | spl0_219 ),
    inference(resolution,[],[f399,f1268]) ).

fof(f3544,plain,
    ( spl0_220
    | spl0_218
    | ~ spl0_18
    | spl0_219 ),
    inference(avatar_split_clause,[],[f3533,f1267,f398,f1262,f1271]) ).

fof(f3562,plain,
    ( c0_1(a2234)
    | ~ c3_1(a2234)
    | ~ spl0_43
    | ~ spl0_112 ),
    inference(resolution,[],[f486,f768]) ).

fof(f3567,plain,
    ( ~ spl0_111
    | spl0_287
    | ~ spl0_43
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3562,f767,f485,f1802,f763]) ).

fof(f3610,plain,
    ( ~ c2_1(a2234)
    | ~ c0_1(a2234)
    | ~ spl0_73
    | ~ spl0_112 ),
    inference(resolution,[],[f601,f768]) ).

fof(f3611,plain,
    ( ~ c2_1(a2243)
    | ~ c0_1(a2243)
    | ~ spl0_73
    | ~ spl0_97 ),
    inference(resolution,[],[f601,f698]) ).

fof(f3613,plain,
    ( ~ spl0_96
    | ~ spl0_295
    | ~ spl0_73
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f3611,f697,f600,f2055,f693]) ).

fof(f3614,plain,
    ( ~ spl0_287
    | ~ spl0_110
    | ~ spl0_73
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3610,f767,f600,f758,f1802]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s2,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(rat,[],[s1]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s4,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s5,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s7,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s8,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_14
    | spl0_16 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s9,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s11,plain,
    ( ~ spl0_2
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s12,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s13,plain,
    ( ~ spl0_2
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s14,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_14
    | spl0_30 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s15,plain,
    ( spl0_31
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s16,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s17,plain,
    ( ~ spl0_2
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s18,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_34 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s20,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s21,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s23,plain,
    ( ~ spl0_2
    | spl0_47
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s24,plain,
    ( ~ spl0_2
    | spl0_43
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s25,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s26,plain,
    ( ~ spl0_2
    | spl0_51
    | spl0_52 ),
    inference(rat,[],[s25]) ).

cnf(s27,plain,
    ( ~ spl0_2
    | spl0_18
    | spl0_21
    | spl0_53 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s28,plain,
    ( ~ spl0_2
    | spl0_20
    | spl0_36
    | spl0_54 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s29,plain,
    ( ~ spl0_2
    | spl0_37
    | spl0_44
    | spl0_54 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s30,plain,
    ( ~ spl0_2
    | spl0_22
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s31,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_23
    | spl0_55 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s32,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_13
    | spl0_18 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s33,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s36,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_11
    | spl0_16 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s37,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s38,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_19
    | spl0_43 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s40,plain,
    ( spl0_64
    | spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s41,plain,
    ( ~ spl0_2
    | spl0_17
    | spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s42,plain,
    ( ~ spl0_2
    | spl0_20
    | spl0_35
    | spl0_69 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s43,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_34
    | spl0_70 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s44,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_36 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s47,plain,
    ( ~ spl0_2
    | spl0_69
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s50,plain,
    ( spl0_56
    | spl0_77
    | spl0_79 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s52,plain,
    ( spl0_80
    | spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s55,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_73 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s56,plain,
    ( ~ spl0_2
    | spl0_30
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s59,plain,
    ( ~ spl0_2
    | spl0_17
    | spl0_28
    | spl0_87 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_92 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s68,plain,
    ( ~ spl0_29
    | spl0_95 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s69,plain,
    ( ~ spl0_29
    | spl0_96 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s70,plain,
    ( ~ spl0_29
    | spl0_97 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s72,plain,
    ( ~ spl0_10
    | spl0_98 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s73,plain,
    ( ~ spl0_10
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s74,plain,
    ( ~ spl0_10
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s76,plain,
    ( ~ spl0_31
    | spl0_101 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s77,plain,
    ( ~ spl0_31
    | spl0_102 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s78,plain,
    ( ~ spl0_31
    | spl0_103 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s80,plain,
    ( ~ spl0_32
    | spl0_104 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s81,plain,
    ( ~ spl0_32
    | spl0_105 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s82,plain,
    ( ~ spl0_32
    | spl0_106 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s88,plain,
    ( ~ spl0_40
    | spl0_110 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s89,plain,
    ( ~ spl0_40
    | spl0_111 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s90,plain,
    ( ~ spl0_40
    | spl0_112 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s100,plain,
    ( ~ spl0_48
    | spl0_119 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s101,plain,
    ( ~ spl0_48
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s102,plain,
    ( ~ spl0_48
    | spl0_121 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s104,plain,
    ( ~ spl0_50
    | spl0_122 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s105,plain,
    ( ~ spl0_50
    | spl0_123 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s106,plain,
    ( ~ spl0_50
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s108,plain,
    ( ~ spl0_53
    | spl0_125 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s109,plain,
    ( ~ spl0_53
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s110,plain,
    ( ~ spl0_53
    | spl0_127 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s112,plain,
    ( ~ spl0_57
    | spl0_128 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s113,plain,
    ( ~ spl0_57
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s114,plain,
    ( ~ spl0_57
    | spl0_130 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s124,plain,
    ( ~ spl0_67
    | spl0_137 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s125,plain,
    ( ~ spl0_67
    | spl0_138 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s126,plain,
    ( ~ spl0_67
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s128,plain,
    ( ~ spl0_68
    | spl0_140 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s129,plain,
    ( ~ spl0_68
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s130,plain,
    ( ~ spl0_68
    | spl0_142 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s132,plain,
    ( ~ spl0_70
    | spl0_143 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s133,plain,
    ( ~ spl0_70
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s136,plain,
    ( ~ spl0_4
    | spl0_146 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s137,plain,
    ( ~ spl0_4
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s138,plain,
    ( ~ spl0_4
    | spl0_148 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s140,plain,
    ( ~ spl0_74
    | spl0_149 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s141,plain,
    ( ~ spl0_74
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s142,plain,
    ( ~ spl0_74
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s151,plain,
    ( spl0_2
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s152,plain,
    ( ~ spl0_80
    | spl0_158 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s153,plain,
    ( ~ spl0_80
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s154,plain,
    ( ~ spl0_80
    | spl0_160 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s156,plain,
    ( ~ spl0_81
    | spl0_161 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s157,plain,
    ( ~ spl0_81
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s158,plain,
    ( ~ spl0_81
    | spl0_163 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s160,plain,
    ( ~ spl0_56
    | spl0_164 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s161,plain,
    ( ~ spl0_56
    | spl0_165 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s162,plain,
    ( ~ spl0_56
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s163,plain,
    ( spl0_2
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s164,plain,
    ( ~ spl0_54
    | spl0_167 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s165,plain,
    ( ~ spl0_54
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s166,plain,
    ( ~ spl0_54
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s168,plain,
    ( ~ spl0_15
    | spl0_170 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s169,plain,
    ( ~ spl0_15
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s170,plain,
    ( ~ spl0_15
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s172,plain,
    ( ~ spl0_47
    | spl0_173 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s173,plain,
    ( ~ spl0_47
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s174,plain,
    ( ~ spl0_47
    | spl0_175 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s200,plain,
    ( ~ spl0_25
    | ~ spl0_194 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s202,plain,
    ( ~ spl0_25
    | spl0_196 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s204,plain,
    ( ~ spl0_26
    | ~ spl0_197 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s205,plain,
    ( ~ spl0_26
    | spl0_198 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s206,plain,
    ( ~ spl0_26
    | spl0_199 ),
    inference(sat_conversion,[],[f1175]) ).

cnf(s208,plain,
    ( ~ spl0_27
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s209,plain,
    ( ~ spl0_27
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s210,plain,
    ( ~ spl0_27
    | spl0_202 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s212,plain,
    ( ~ spl0_33
    | ~ spl0_203 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s213,plain,
    ( ~ spl0_33
    | ~ spl0_204 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s214,plain,
    ( ~ spl0_33
    | spl0_205 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s216,plain,
    ( ~ spl0_38
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s217,plain,
    ( ~ spl0_38
    | spl0_207 ),
    inference(sat_conversion,[],[f1213]) ).

cnf(s218,plain,
    ( ~ spl0_38
    | spl0_208 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s220,plain,
    ( ~ spl0_41
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f1223]) ).

cnf(s221,plain,
    ( ~ spl0_41
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s222,plain,
    ( ~ spl0_41
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f1231]) ).

cnf(s224,plain,
    ( ~ spl0_52
    | ~ spl0_212 ),
    inference(sat_conversion,[],[f1237]) ).

cnf(s225,plain,
    ( ~ spl0_52
    | spl0_213 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s226,plain,
    ( ~ spl0_52
    | spl0_214 ),
    inference(sat_conversion,[],[f1245]) ).

cnf(s228,plain,
    ( ~ spl0_23
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s229,plain,
    ( ~ spl0_23
    | spl0_216 ),
    inference(sat_conversion,[],[f1255]) ).

cnf(s230,plain,
    ( ~ spl0_23
    | ~ spl0_217 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s232,plain,
    ( ~ spl0_55
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f1265]) ).

cnf(s233,plain,
    ( ~ spl0_55
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f1269]) ).

cnf(s234,plain,
    ( ~ spl0_55
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s240,plain,
    ( ~ spl0_62
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s241,plain,
    ( ~ spl0_62
    | spl0_225 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s242,plain,
    ( ~ spl0_62
    | ~ spl0_226 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s248,plain,
    ( ~ spl0_64
    | ~ spl0_230 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s249,plain,
    ( ~ spl0_64
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s250,plain,
    ( ~ spl0_64
    | spl0_232 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s252,plain,
    ( ~ spl0_66
    | ~ spl0_233 ),
    inference(sat_conversion,[],[f1335]) ).

cnf(s253,plain,
    ( ~ spl0_66
    | ~ spl0_234 ),
    inference(sat_conversion,[],[f1339]) ).

cnf(s254,plain,
    ( ~ spl0_66
    | spl0_235 ),
    inference(sat_conversion,[],[f1343]) ).

cnf(s256,plain,
    ( ~ spl0_34
    | ~ spl0_236 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s257,plain,
    ( ~ spl0_34
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f1353]) ).

cnf(s258,plain,
    ( ~ spl0_34
    | ~ spl0_238 ),
    inference(sat_conversion,[],[f1357]) ).

cnf(s275,plain,
    ( spl0_2
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f1414]) ).

cnf(s276,plain,
    ( ~ spl0_82
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f1419]) ).

cnf(s277,plain,
    ( ~ spl0_82
    | spl0_252 ),
    inference(sat_conversion,[],[f1423]) ).

cnf(s278,plain,
    ( ~ spl0_82
    | ~ spl0_253 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s281,plain,
    ( ~ spl0_61
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f1437]) ).

cnf(s282,plain,
    ( ~ spl0_61
    | spl0_256 ),
    inference(sat_conversion,[],[f1441]) ).

cnf(s284,plain,
    ( ~ spl0_65
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f1447]) ).

cnf(s285,plain,
    ( ~ spl0_65
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s286,plain,
    ( ~ spl0_65
    | spl0_259 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s292,plain,
    ( ~ spl0_87
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s293,plain,
    ( ~ spl0_87
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f1479]) ).

cnf(s294,plain,
    ( ~ spl0_87
    | spl0_265 ),
    inference(sat_conversion,[],[f1483]) ).

cnf(s316,plain,
    ( ~ spl0_17
    | spl0_209
    | spl0_210
    | spl0_211 ),
    inference(sat_conversion,[],[f1606]) ).

cnf(s331,plain,
    ( ~ spl0_20
    | spl0_174
    | ~ spl0_175
    | spl0_269 ),
    inference(sat_conversion,[],[f1668]) ).

cnf(s336,plain,
    ( ~ spl0_16
    | ~ spl0_119
    | spl0_120
    | ~ spl0_280 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s344,plain,
    ( ~ spl0_8
    | spl0_210
    | spl0_211
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s345,plain,
    ( ~ spl0_8
    | spl0_224
    | ~ spl0_225
    | spl0_226 ),
    inference(sat_conversion,[],[f1721]) ).

cnf(s348,plain,
    ( ~ spl0_6
    | spl0_255
    | ~ spl0_256
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s355,plain,
    ( ~ spl0_8
    | spl0_11
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s366,plain,
    ( ~ spl0_11
    | spl0_224
    | ~ spl0_225
    | spl0_275 ),
    inference(sat_conversion,[],[f1791]) ).

cnf(s377,plain,
    ( spl0_13
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s378,plain,
    ( ~ spl0_13
    | spl0_236
    | spl0_237
    | spl0_238 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s379,plain,
    ( ~ spl0_13
    | spl0_251
    | spl0_253
    | spl0_282 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s384,plain,
    ( ~ spl0_1
    | spl0_233
    | spl0_234
    | ~ spl0_288 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s388,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s487,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f2244]) ).

cnf(s500,plain,
    ( ~ spl0_43
    | ~ spl0_143
    | spl0_144
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f2320]) ).

cnf(s502,plain,
    ( ~ spl0_43
    | ~ spl0_164
    | ~ spl0_165
    | spl0_166 ),
    inference(sat_conversion,[],[f2322]) ).

cnf(s506,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s532,plain,
    ( ~ spl0_22
    | spl0_251
    | ~ spl0_252
    | ~ spl0_282 ),
    inference(sat_conversion,[],[f2389]) ).

cnf(s568,plain,
    ( ~ spl0_6
    | ~ spl0_198
    | ~ spl0_199
    | spl0_299 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s572,plain,
    ( spl0_13
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s576,plain,
    ( ~ spl0_28
    | ~ spl0_143
    | spl0_144
    | spl0_293 ),
    inference(sat_conversion,[],[f2476]) ).

cnf(s577,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | spl0_174
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f2477]) ).

cnf(s598,plain,
    ( ~ spl0_42
    | ~ spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s612,plain,
    ( ~ spl0_18
    | spl0_209
    | spl0_210
    | spl0_274 ),
    inference(sat_conversion,[],[f2521]) ).

cnf(s617,plain,
    ( ~ spl0_16
    | spl0_197
    | ~ spl0_199
    | ~ spl0_299 ),
    inference(sat_conversion,[],[f2547]) ).

cnf(s622,plain,
    ( ~ spl0_19
    | ~ spl0_146
    | ~ spl0_148
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f2569]) ).

cnf(s624,plain,
    ( ~ spl0_19
    | ~ spl0_198
    | ~ spl0_199
    | ~ spl0_299 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s630,plain,
    ( ~ spl0_24
    | spl0_234
    | ~ spl0_235
    | ~ spl0_288 ),
    inference(sat_conversion,[],[f2585]) ).

cnf(s633,plain,
    ( ~ spl0_36
    | spl0_234
    | ~ spl0_235
    | spl0_288 ),
    inference(sat_conversion,[],[f2597]) ).

cnf(s635,plain,
    ( spl0_7
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f2599]) ).

cnf(s644,plain,
    ( ~ spl0_1
    | spl0_21
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f2626]) ).

cnf(s674,plain,
    ( ~ spl0_21
    | ~ spl0_173
    | spl0_174
    | spl0_269 ),
    inference(sat_conversion,[],[f2679]) ).

cnf(s678,plain,
    ( ~ spl0_6
    | ~ spl0_173
    | spl0_174
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f2685]) ).

cnf(s684,plain,
    ( ~ spl0_6
    | ~ spl0_137
    | ~ spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f2690]) ).

cnf(s709,plain,
    ( spl0_11
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2712]) ).

cnf(s716,plain,
    ( ~ spl0_28
    | spl0_251
    | ~ spl0_252
    | spl0_253 ),
    inference(sat_conversion,[],[f2719]) ).

cnf(s728,plain,
    ( ~ spl0_19
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f2737]) ).

cnf(s733,plain,
    ( ~ spl0_22
    | spl0_194
    | ~ spl0_196
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f2758]) ).

cnf(s742,plain,
    ( ~ spl0_11
    | spl0_203
    | spl0_204
    | ~ spl0_205 ),
    inference(sat_conversion,[],[f2800]) ).

cnf(s755,plain,
    ( ~ spl0_37
    | ~ spl0_95
    | ~ spl0_97
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f2852]) ).

cnf(s760,plain,
    ( ~ spl0_44
    | ~ spl0_165
    | spl0_166
    | ~ spl0_297 ),
    inference(sat_conversion,[],[f2875]) ).

cnf(s766,plain,
    ( ~ spl0_51
    | ~ spl0_167
    | spl0_168
    | spl0_169 ),
    inference(sat_conversion,[],[f2914]) ).

cnf(s769,plain,
    ( ~ spl0_51
    | spl0_251
    | ~ spl0_252
    | spl0_282 ),
    inference(sat_conversion,[],[f2918]) ).

cnf(s777,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f2949]) ).

cnf(s809,plain,
    ( ~ spl0_69
    | spl0_174
    | ~ spl0_175
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f2981]) ).

cnf(s810,plain,
    ( spl0_9
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f2982]) ).

cnf(s814,plain,
    ( ~ spl0_35
    | ~ spl0_173
    | spl0_174
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2986]) ).

cnf(s835,plain,
    ( ~ spl0_22
    | spl0_206
    | ~ spl0_208
    | ~ spl0_302 ),
    inference(sat_conversion,[],[f3038]) ).

cnf(s836,plain,
    ( ~ spl0_11
    | spl0_251
    | spl0_253
    | ~ spl0_282 ),
    inference(sat_conversion,[],[f3040]) ).

cnf(s842,plain,
    ( ~ spl0_21
    | ~ spl0_164
    | spl0_166
    | spl0_297 ),
    inference(sat_conversion,[],[f3069]) ).

cnf(s847,plain,
    ( ~ spl0_21
    | spl0_263
    | spl0_264
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f3074]) ).

cnf(s850,plain,
    ( ~ spl0_35
    | ~ spl0_158
    | spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3097]) ).

cnf(s851,plain,
    ( ~ spl0_35
    | ~ spl0_164
    | ~ spl0_165
    | spl0_297 ),
    inference(sat_conversion,[],[f3098]) ).

cnf(s854,plain,
    ( ~ spl0_73
    | ~ spl0_104
    | ~ spl0_106
    | ~ spl0_300 ),
    inference(sat_conversion,[],[f3119]) ).

cnf(s860,plain,
    ( ~ spl0_18
    | spl0_200
    | spl0_201
    | spl0_294 ),
    inference(sat_conversion,[],[f3126]) ).

cnf(s865,plain,
    ( ~ spl0_73
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3134]) ).

cnf(s867,plain,
    ( ~ spl0_6
    | ~ spl0_95
    | ~ spl0_96
    | spl0_295 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s868,plain,
    ( ~ spl0_6
    | spl0_212
    | ~ spl0_213
    | ~ spl0_214 ),
    inference(sat_conversion,[],[f3137]) ).

cnf(s870,plain,
    ( ~ spl0_6
    | ~ spl0_104
    | ~ spl0_105
    | spl0_300 ),
    inference(sat_conversion,[],[f3139]) ).

cnf(s877,plain,
    ( ~ spl0_7
    | spl0_230
    | ~ spl0_232
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f3146]) ).

cnf(s881,plain,
    ( ~ spl0_7
    | ~ spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f3150]) ).

cnf(s883,plain,
    ( ~ spl0_16
    | ~ spl0_225
    | spl0_226
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f3152]) ).

cnf(s887,plain,
    ( ~ spl0_16
    | ~ spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3156]) ).

cnf(s889,plain,
    ( ~ spl0_16
    | spl0_126
    | ~ spl0_127
    | ~ spl0_292 ),
    inference(sat_conversion,[],[f3158]) ).

cnf(s890,plain,
    ( ~ spl0_24
    | spl0_200
    | ~ spl0_202
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f3159]) ).

cnf(s893,plain,
    ( ~ spl0_24
    | ~ spl0_125
    | spl0_126
    | ~ spl0_292 ),
    inference(sat_conversion,[],[f3162]) ).

cnf(s894,plain,
    ( ~ spl0_24
    | ~ spl0_146
    | spl0_147
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f3163]) ).

cnf(s896,plain,
    ( ~ spl0_24
    | ~ spl0_125
    | spl0_126
    | ~ spl0_292 ),
    inference(sat_conversion,[],[f3165]) ).

cnf(s907,plain,
    ( ~ spl0_30
    | ~ spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f3176]) ).

cnf(s914,plain,
    ( ~ spl0_36
    | spl0_200
    | ~ spl0_202
    | spl0_294 ),
    inference(sat_conversion,[],[f3183]) ).

cnf(s918,plain,
    ( ~ spl0_36
    | spl0_230
    | spl0_231
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f3187]) ).

cnf(s920,plain,
    ( ~ spl0_36
    | ~ spl0_125
    | spl0_126
    | spl0_292 ),
    inference(sat_conversion,[],[f3189]) ).

cnf(s921,plain,
    ( ~ spl0_36
    | spl0_99
    | spl0_100
    | ~ spl0_286 ),
    inference(sat_conversion,[],[f3190]) ).

cnf(s930,plain,
    ( spl0_5
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f3198]) ).

cnf(s936,plain,
    ( ~ spl0_51
    | spl0_194
    | ~ spl0_196
    | spl0_305 ),
    inference(sat_conversion,[],[f3204]) ).

cnf(s942,plain,
    ( ~ spl0_22
    | spl0_141
    | ~ spl0_142
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f3210]) ).

cnf(s953,plain,
    ( ~ spl0_37
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f3221]) ).

cnf(s955,plain,
    ( spl0_5
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f3223]) ).

cnf(s967,plain,
    ( ~ spl0_1
    | spl0_200
    | spl0_201
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f3235]) ).

cnf(s981,plain,
    ( ~ spl0_11
    | spl0_215
    | ~ spl0_216
    | spl0_217 ),
    inference(sat_conversion,[],[f3249]) ).

cnf(s987,plain,
    ( ~ spl0_14
    | ~ spl0_92
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f3255]) ).

cnf(s988,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f3256]) ).

cnf(s990,plain,
    ( ~ spl0_14
    | spl0_219
    | spl0_220
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f3258]) ).

cnf(s994,plain,
    ( ~ spl0_20
    | ~ spl0_158
    | spl0_159
    | spl0_270 ),
    inference(sat_conversion,[],[f3262]) ).

cnf(s1000,plain,
    ( ~ spl0_35
    | ~ spl0_105
    | ~ spl0_106
    | spl0_300 ),
    inference(sat_conversion,[],[f3268]) ).

cnf(s1004,plain,
    ( ~ spl0_6
    | ~ spl0_119
    | ~ spl0_121
    | spl0_280 ),
    inference(sat_conversion,[],[f3272]) ).

cnf(s1010,plain,
    ( ~ spl0_6
    | spl0_159
    | ~ spl0_160
    | ~ spl0_270 ),
    inference(sat_conversion,[],[f3278]) ).

cnf(s1031,plain,
    ( ~ spl0_5
    | ~ spl0_161
    | spl0_162
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3299]) ).

cnf(s1067,plain,
    ( ~ spl0_9
    | spl0_218
    | spl0_220
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f3334]) ).

cnf(s1069,plain,
    ( ~ spl0_9
    | ~ spl0_170
    | spl0_171
    | spl0_172 ),
    inference(sat_conversion,[],[f3336]) ).

cnf(s1070,plain,
    ( ~ spl0_9
    | ~ spl0_140
    | spl0_141
    | spl0_277 ),
    inference(sat_conversion,[],[f3337]) ).

cnf(s1073,plain,
    ( ~ spl0_9
    | spl0_206
    | ~ spl0_207
    | spl0_302 ),
    inference(sat_conversion,[],[f3340]) ).

cnf(s1092,plain,
    ( spl0_11
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f3359]) ).

cnf(s1122,plain,
    ( ~ spl0_44
    | ~ spl0_252
    | spl0_253
    | ~ spl0_282 ),
    inference(sat_conversion,[],[f3388]) ).

cnf(s1154,plain,
    ( ~ spl0_35
    | ~ spl0_95
    | ~ spl0_97
    | spl0_295 ),
    inference(sat_conversion,[],[f3421]) ).

cnf(s1156,plain,
    ( ~ spl0_21
    | ~ spl0_149
    | spl0_150
    | spl0_308 ),
    inference(sat_conversion,[],[f3435]) ).

cnf(s1157,plain,
    ( ~ spl0_21
    | spl0_159
    | ~ spl0_160
    | spl0_270 ),
    inference(sat_conversion,[],[f3437]) ).

cnf(s1158,plain,
    ( ~ spl0_21
    | spl0_255
    | ~ spl0_256
    | spl0_283 ),
    inference(sat_conversion,[],[f3444]) ).

cnf(s1160,plain,
    ( ~ spl0_5
    | ~ spl0_122
    | ~ spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f3465]) ).

cnf(s1162,plain,
    ( ~ spl0_5
    | ~ spl0_149
    | spl0_150
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f3468]) ).

cnf(s1164,plain,
    ( ~ spl0_5
    | ~ spl0_164
    | spl0_166
    | ~ spl0_297 ),
    inference(sat_conversion,[],[f3470]) ).

cnf(s1169,plain,
    ( ~ spl0_8
    | ~ spl0_98
    | spl0_100
    | spl0_286 ),
    inference(sat_conversion,[],[f3492]) ).

cnf(s1170,plain,
    ( ~ spl0_8
    | spl0_147
    | ~ spl0_148
    | spl0_298 ),
    inference(sat_conversion,[],[f3493]) ).

cnf(s1171,plain,
    ( ~ spl0_8
    | spl0_150
    | spl0_151
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f3494]) ).

cnf(s1173,plain,
    ( ~ spl0_8
    | spl0_231
    | ~ spl0_232
    | spl0_271 ),
    inference(sat_conversion,[],[f3496]) ).

cnf(s1176,plain,
    ( ~ spl0_8
    | spl0_257
    | spl0_258
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f3499]) ).

cnf(s1178,plain,
    ( ~ spl0_17
    | spl0_218
    | spl0_219
    | spl0_273 ),
    inference(sat_conversion,[],[f3516]) ).

cnf(s1179,plain,
    ( ~ spl0_17
    | spl0_230
    | spl0_231
    | spl0_271 ),
    inference(sat_conversion,[],[f3517]) ).

cnf(s1186,plain,
    ( ~ spl0_18
    | spl0_218
    | spl0_219
    | spl0_220 ),
    inference(sat_conversion,[],[f3544]) ).

cnf(s1192,plain,
    ( ~ spl0_43
    | ~ spl0_111
    | ~ spl0_112
    | spl0_287 ),
    inference(sat_conversion,[],[f3567]) ).

cnf(s1202,plain,
    ( ~ spl0_73
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f3613]) ).

cnf(s1203,plain,
    ( ~ spl0_73
    | ~ spl0_110
    | ~ spl0_112
    | ~ spl0_287 ),
    inference(sat_conversion,[],[f3614]) ).

cnf(s1208,plain,
    spl0_2,
    inference(rat,[],[s50,s151,s163,s275]) ).

cnf(s1209,plain,
    ( spl0_7
    | ~ spl0_36
    | spl0_9 ),
    inference(rat,[],[s1169,s921,s72,s73,s74,s5,s981,s228,s229,s230,s11,s4,s635,s1208]) ).

cnf(s1210,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(rat,[],[s1169,s921,s72,s73,s74]) ).

cnf(s1211,plain,
    ( ~ spl0_53
    | ~ spl0_30 ),
    inference(rat,[],[s907,s108,s109,s110]) ).

cnf(s1212,plain,
    ( ~ spl0_52
    | ~ spl0_6 ),
    inference(rat,[],[s868,s224,s225,s226]) ).

cnf(s1213,plain,
    ( ~ spl0_47
    | spl0_53
    | ~ spl0_6
    | spl0_9 ),
    inference(rat,[],[s810,s42,s27,s331,s674,s678,s814,s172,s173,s174,s1208]) ).

cnf(s1215,plain,
    ( ~ spl0_23
    | ~ spl0_11 ),
    inference(rat,[],[s981,s228,s229,s230]) ).

cnf(s1216,plain,
    ( ~ spl0_33
    | ~ spl0_11 ),
    inference(rat,[],[s742,s212,s213,s214]) ).

cnf(s1217,plain,
    ( ~ spl0_32
    | ~ spl0_6
    | ~ spl0_73 ),
    inference(rat,[],[s854,s870,s80,s81,s82]) ).

cnf(s1218,plain,
    ( ~ spl0_31
    | ~ spl0_73 ),
    inference(rat,[],[s865,s76,s77,s78]) ).

cnf(s1219,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s1213,s1211,s30,s14,s355,s1210,s1212,s1216,s15,s1218,s1217,s55,s1069,s168,s169,s170,s7,s987,s64,s65,s66,s2,s1208]) ).

cnf(s1220,plain,
    ( ~ spl0_26
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(rat,[],[s617,s568,s204,s205,s206]) ).

cnf(s1221,plain,
    ( ~ spl0_25
    | ~ spl0_22
    | ~ spl0_51 ),
    inference(rat,[],[s733,s936,s200,s202]) ).

cnf(s1222,plain,
    ( spl0_126
    | ~ spl0_125
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(rat,[],[s896,s920]) ).

cnf(s1224,plain,
    ( ~ spl0_48
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(rat,[],[s336,s1004,s100,s101,s102]) ).

cnf(s1225,plain,
    ( ~ spl0_54
    | ~ spl0_51 ),
    inference(rat,[],[s766,s164,s165,s166]) ).

cnf(s1226,plain,
    ( ~ spl0_49
    | spl0_54
    | spl0_5 ),
    inference(rat,[],[s29,s930,s955,s1208]) ).

cnf(s1227,plain,
    ( spl0_5
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s889,s920,s108,s109,s110,s1213,s23,s1226,s1225,s1224,s8,s1219,s26,s1212,s3,s1069,s168,s169,s170,s7,s987,s64,s65,s66,s2,s44,s1208]) ).

cnf(s1230,plain,
    ( ~ spl0_50
    | ~ spl0_5 ),
    inference(rat,[],[s1160,s104,s105,s106]) ).

cnf(s1231,plain,
    ( ~ spl0_61
    | ~ spl0_21
    | ~ spl0_6 ),
    inference(rat,[],[s348,s1158,s281,s282]) ).

cnf(s1233,plain,
    ( ~ spl0_66
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(rat,[],[s630,s633,s253,s254]) ).

cnf(s1235,plain,
    ( ~ spl0_68
    | ~ spl0_42 ),
    inference(rat,[],[s598,s128,s129,s130]) ).

cnf(s1236,plain,
    ( ~ spl0_67
    | ~ spl0_6 ),
    inference(rat,[],[s684,s124,s125,s126]) ).

cnf(s1238,plain,
    ( ~ spl0_81
    | ~ spl0_5 ),
    inference(rat,[],[s1031,s156,s157,s158]) ).

cnf(s1239,plain,
    ( ~ spl0_80
    | spl0_53
    | ~ spl0_6
    | spl0_9 ),
    inference(rat,[],[s810,s27,s42,s1157,s850,s994,s1010,s152,s153,s154,s1208]) ).

cnf(s1240,plain,
    ( ~ spl0_82
    | ~ spl0_22
    | ~ spl0_51 ),
    inference(rat,[],[s532,s769,s276,s277]) ).

cnf(s1241,plain,
    ( ~ spl0_22
    | spl0_26
    | ~ spl0_6
    | spl0_81
    | ~ spl0_36
    | spl0_9 ),
    inference(rat,[],[s893,s920,s108,s109,s1239,s52,s1240,s12,s1221,s26,s1212,s1208]) ).

cnf(s1242,plain,
    ( ~ spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s889,s920,s108,s109,s110,s1213,s30,s1241,s1220,s8,s1219,s1212,s1069,s168,s169,s170,s7,s987,s64,s65,s66,s2,s44,s1238,s1227,s1208]) ).

cnf(s1243,plain,
    ( spl0_35
    | spl0_6
    | spl0_9 ),
    inference(rat,[],[s42,s377,s810,s32,s378,s256,s257,s258,s16,s1208]) ).

cnf(s1244,plain,
    ( ~ spl0_80
    | ~ spl0_35 ),
    inference(rat,[],[s850,s152,s153,s154]) ).

cnf(s1245,plain,
    ( ~ spl0_47
    | ~ spl0_35 ),
    inference(rat,[],[s814,s172,s173,s174]) ).

cnf(s1247,plain,
    ( ~ spl0_34
    | ~ spl0_13 ),
    inference(rat,[],[s378,s256,s257,s258]) ).

cnf(s1249,plain,
    ( ~ spl0_64
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(rat,[],[s918,s1179,s248,s249]) ).

cnf(s1254,plain,
    ( ~ spl0_41
    | ~ spl0_17 ),
    inference(rat,[],[s316,s220,s221,s222]) ).

cnf(s1255,plain,
    ( ~ spl0_40
    | ~ spl0_37 ),
    inference(rat,[],[s953,s88,s89,s90]) ).

cnf(s1256,plain,
    ( ~ spl0_57
    | ~ spl0_7 ),
    inference(rat,[],[s881,s112,s113,s114]) ).

cnf(s1257,plain,
    ( ~ spl0_56
    | ~ spl0_43 ),
    inference(rat,[],[s502,s160,s161,s162]) ).

cnf(s1260,plain,
    ( ~ spl0_29
    | ~ spl0_35
    | ~ spl0_73 ),
    inference(rat,[],[s1154,s1202,s68,s69,s70]) ).

cnf(s1261,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s851,s1164,s160,s161,s162,s33,s890,s914,s208,s210,s13,s1260,s1256,s716,s276,s277,s278,s52,s1244,s1243,s1242,s1238,s1227,s1209,s44,s55,s1069,s168,s169,s170,s7,s987,s64,s65,s66,s2,s1208]) ).

cnf(s1262,plain,
    ( ~ spl0_32
    | ~ spl0_35
    | ~ spl0_73 ),
    inference(rat,[],[s854,s1000,s80,s81,s82]) ).

cnf(s1263,plain,
    ( ~ spl0_87
    | ~ spl0_21 ),
    inference(rat,[],[s847,s292,s293,s294]) ).

cnf(s1264,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_73 ),
    inference(rat,[],[s1203,s1192,s88,s89,s90]) ).

cnf(s1265,plain,
    ( spl0_6
    | spl0_1 ),
    inference(rat,[],[s612,s344,s220,s221,s222,s20,s32,s1264,s1247,s18,s1256,s33,s1257,s38,s1216,s15,s1262,s1243,s1218,s55,s1069,s168,s169,s170,s7,s622,s894,s1170,s8,s887,s987,s64,s65,s66,s2,s138,s137,s136,s1261,s1208]) ).

cnf(s1266,plain,
    ( spl0_14
    | spl0_1 ),
    inference(rat,[],[s678,s331,s172,s173,s174,s30,s355,s28,s1216,s1225,s15,s26,s1219,s1217,s1212,s1265,s8,s887,s136,s137,s138,s1261,s1218,s55,s1069,s168,s169,s170,s7,s1208]) ).

cnf(s1267,plain,
    spl0_1,
    inference(rat,[],[s1266,s987,s64,s65,s66,s2,s1208]) ).

cnf(s1269,plain,
    ( ~ spl0_29
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(rat,[],[s728,s1154,s68,s69,s70]) ).

cnf(s1270,plain,
    ( ~ spl0_27
    | ~ spl0_18 ),
    inference(rat,[],[s860,s967,s208,s209,s1267]) ).

cnf(s1271,plain,
    ( ~ spl0_29
    | ~ spl0_35
    | ~ spl0_5
    | spl0_69 ),
    inference(rat,[],[s10,s388,s1156,s1162,s140,s141,s47,s1269,s1260,s1208,s1267]) ).

cnf(s1272,plain,
    ( ~ spl0_35
    | ~ spl0_5
    | spl0_6 ),
    inference(rat,[],[s1162,s1156,s140,s141,s47,s1264,s644,s24,s20,s1122,s836,s1254,s379,s9,s32,s1270,s13,s1271,s716,s276,s277,s278,s52,s1244,s777,s1230,s1238,s1208,s1267]) ).

cnf(s1273,plain,
    ( spl0_35
    | spl0_6 ),
    inference(rat,[],[s377,s32,s1247,s42,s16,s777,s1208,s1267]) ).

cnf(s1274,plain,
    ( spl0_11
    | spl0_6 ),
    inference(rat,[],[s38,s622,s506,s1170,s36,s887,s136,s137,s138,s3,s1272,s1273,s1208]) ).

cnf(s1275,plain,
    ( ~ spl0_55
    | ~ spl0_18 ),
    inference(rat,[],[s1186,s232,s233,s234]) ).

cnf(s1276,plain,
    ( ~ spl0_73
    | spl0_6 ),
    inference(rat,[],[s15,s1262,s1218,s1273,s1216,s1274]) ).

cnf(s1277,plain,
    ( ~ spl0_8
    | spl0_6 ),
    inference(rat,[],[s10,s388,s1156,s1171,s622,s1170,s138,s137,s136,s3,s1272,s1273,s142,s141,s140,s47,s1276,s777,s1208,s1267]) ).

cnf(s1278,plain,
    ( spl0_5
    | spl0_6 ),
    inference(rat,[],[s1178,s9,s990,s1275,s232,s233,s234,s31,s8,s1277,s1215,s1274,s887,s136,s137,s138,s3,s1208]) ).

cnf(s1279,plain,
    ( ~ spl0_35
    | spl0_6 ),
    inference(rat,[],[s1278,s1272]) ).

cnf(s1280,plain,
    spl0_6,
    inference(rat,[],[s1279,s1273]) ).

cnf(s1281,plain,
    ~ spl0_52,
    inference(rat,[],[s1212,s1280]) ).

cnf(s1282,plain,
    ~ spl0_67,
    inference(rat,[],[s1236,s1280]) ).

cnf(s1283,plain,
    spl0_51,
    inference(rat,[],[s26,s1208,s1281]) ).

cnf(s1284,plain,
    ~ spl0_54,
    inference(rat,[],[s1225,s1283]) ).

cnf(s1285,plain,
    ( ~ spl0_35
    | spl0_81 ),
    inference(rat,[],[s1240,s30,s52,s1245,s1244,s1283,s1208,s1281]) ).

cnf(s1287,plain,
    ( ~ spl0_28
    | ~ spl0_43
    | spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s576,s500,s132,s133,s43,s1247,s572,s1208]) ).

cnf(s1288,plain,
    ( ~ spl0_43
    | spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s755,s29,s867,s1092,s68,s69,s70,s59,s13,s1287,s1263,s644,s1270,s1208,s1284,s1280,s1267]) ).

cnf(s1289,plain,
    ( spl0_11
    | spl0_50
    | ~ spl0_18 ),
    inference(rat,[],[s41,s1092,s1235,s24,s21,s1288,s1282,s1208]) ).

cnf(s1290,plain,
    ( ~ spl0_68
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(rat,[],[s1070,s942,s128,s129,s130]) ).

cnf(s1293,plain,
    ( ~ spl0_26
    | ~ spl0_19 ),
    inference(rat,[],[s624,s568,s205,s206,s1280]) ).

cnf(s1294,plain,
    ( ~ spl0_5
    | ~ spl0_18 ),
    inference(rat,[],[s1176,s284,s285,s286,s40,s1233,s12,s1293,s1249,s41,s1290,s810,s28,s42,s10,s994,s1157,s1010,s152,s153,s154,s52,s1221,s1240,s31,s11,s1215,s1289,s1285,s1238,s1230,s1275,s1208,s1282,s1284,s1280,s1283]) ).

cnf(s1295,plain,
    ( spl0_43
    | spl0_11 ),
    inference(rat,[],[s1255,s29,s20,s1092,s1254,s41,s1235,s21,s1282,s1284,s1208]) ).

cnf(s1296,plain,
    ( spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s1295,s1288]) ).

cnf(s1297,plain,
    ( spl0_21
    | spl0_19 ),
    inference(rat,[],[s10,s388,s1208,s1267]) ).

cnf(s1298,plain,
    ( ~ spl0_62
    | ~ spl0_8 ),
    inference(rat,[],[s345,s240,s241,s242]) ).

cnf(s1300,plain,
    ( ~ spl0_65
    | ~ spl0_8 ),
    inference(rat,[],[s1176,s284,s285,s286]) ).

cnf(s1301,plain,
    ( spl0_21
    | ~ spl0_18 ),
    inference(rat,[],[s1173,s877,s248,s249,s250,s40,s1233,s12,s635,s1293,s28,s1297,s388,s1221,s11,s1300,s31,s1215,s1296,s1275,s1208,s1284,s1267,s1283]) ).

cnf(s1302,plain,
    ( ~ spl0_36
    | spl0_56
    | ~ spl0_18 ),
    inference(rat,[],[s1233,s33,s40,s1256,s1249,s635,s1300,s41,s1290,s37,s1231,s1301,s1298,s31,s1275,s11,s1215,s1296,s1208,s1282,s1280]) ).

cnf(s1303,plain,
    ( ~ spl0_38
    | ~ spl0_18 ),
    inference(rat,[],[s835,s1073,s216,s217,s218,s11,s37,s1231,s1301,s1298,s31,s1215,s1296,s1275,s1208,s1280]) ).

cnf(s1304,plain,
    ~ spl0_18,
    inference(rat,[],[s842,s760,s160,s161,s162,s1302,s17,s1303,s1301,s29,s487,s31,s1215,s1296,s1294,s1275,s1208,s1284]) ).

cnf(s1305,plain,
    ( ~ spl0_35
    | spl0_48 ),
    inference(rat,[],[s1226,s1238,s23,s1285,s1245,s1284,s1208]) ).

cnf(s1306,plain,
    ( ~ spl0_47
    | ~ spl0_69
    | ~ spl0_21 ),
    inference(rat,[],[s674,s809,s172,s173,s174]) ).

cnf(s1307,plain,
    ( spl0_20
    | spl0_81
    | spl0_35
    | spl0_26
    | ~ spl0_68
    | ~ spl0_21 ),
    inference(rat,[],[s1241,s1290,s30,s1306,s42,s28,s1280,s1208,s1281,s1284]) ).

cnf(s1308,plain,
    ( ~ spl0_47
    | ~ spl0_20
    | spl0_53 ),
    inference(rat,[],[s577,s331,s1213,s173,s174,s1280]) ).

cnf(s1309,plain,
    ( spl0_81
    | spl0_35
    | spl0_26
    | ~ spl0_68
    | ~ spl0_43 ),
    inference(rat,[],[s1239,s52,s1290,s1240,s30,s1308,s1307,s644,s1211,s56,s1257,s1280,s1283,s1208,s1281,s1284,s1267]) ).

cnf(s1310,plain,
    ( ~ spl0_47
    | ~ spl0_43 ),
    inference(rat,[],[s674,s577,s1213,s172,s173,s644,s1211,s56,s1257,s1280,s1284,s1208,s1267]) ).

cnf(s1311,plain,
    spl0_11,
    inference(rat,[],[s1238,s1226,s1309,s23,s1305,s1224,s1220,s41,s36,s709,s355,s30,s1310,s1295,s1284,s1208,s1280,s1282,s1281]) ).

cnf(s1312,plain,
    ~ spl0_23,
    inference(rat,[],[s1215,s1311]) ).

cnf(s1314,plain,
    spl0_22,
    inference(rat,[],[s11,s1208,s1312]) ).

cnf(s1316,plain,
    ~ spl0_82,
    inference(rat,[],[s1240,s1283,s1314]) ).

cnf(s1317,plain,
    ~ spl0_25,
    inference(rat,[],[s1221,s1283,s1314]) ).

cnf(s1322,plain,
    spl0_21,
    inference(rat,[],[s12,s1222,s1293,s28,s108,s109,s1297,s388,s27,s1208,s1317,s1284,s1267,s1304]) ).

cnf(s1323,plain,
    ~ spl0_61,
    inference(rat,[],[s1231,s1280,s1322]) ).

cnf(s1327,plain,
    ( spl0_9
    | spl0_16 ),
    inference(rat,[],[s1298,s8,s37,s988,s1208,s1323,s1283]) ).

cnf(s1330,plain,
    ( ~ spl0_160
    | spl0_159 ),
    inference(rat,[],[s1010,s1157,s1322,s1280]) ).

cnf(s1331,plain,
    ~ spl0_80,
    inference(rat,[],[s1330,s153,s154]) ).

cnf(s1332,plain,
    spl0_81,
    inference(rat,[],[s52,s1316,s1331]) ).

cnf(s1336,plain,
    ~ spl0_5,
    inference(rat,[],[s1238,s1332]) ).

cnf(s1338,plain,
    spl0_9,
    inference(rat,[],[s366,s883,s240,s241,s242,s1327,s37,s1311,s1208,s1323]) ).

cnf(s1339,plain,
    ~ spl0_68,
    inference(rat,[],[s1290,s1314,s1338]) ).

cnf(s1340,plain,
    spl0_17,
    inference(rat,[],[s41,s1208,s1282,s1339]) ).

cnf(s1347,plain,
    ~ spl0_55,
    inference(rat,[],[s1067,s1178,s232,s233,s234,s1338,s1340]) ).

cnf(s1348,plain,
    spl0_8,
    inference(rat,[],[s31,s1312,s1208,s1347]) ).

cnf(s1349,plain,
    ~ spl0_37,
    inference(rat,[],[s487,s1336,s1348]) ).

cnf(s1351,plain,
    ~ spl0_65,
    inference(rat,[],[s1300,s1348]) ).

cnf(s1363,plain,
    ~ spl0_36,
    inference(rat,[],[s384,s633,s252,s253,s254,s40,s1249,s1267,s1351,s1340]) ).

cnf(s1366,plain,
    spl0_38,
    inference(rat,[],[s17,s1349,s1208,s1363]) ).

cnf(s1373,plain,
    spl0_208,
    inference(rat,[],[s218,s1366]) ).

cnf(s1374,plain,
    spl0_207,
    inference(rat,[],[s217,s1366]) ).

cnf(s1375,plain,
    ~ spl0_206,
    inference(rat,[],[s216,s1366]) ).

cnf(s1376,plain,
    spl0_302,
    inference(rat,[],[s1073,s1374,s1338,s1375]) ).

cnf(s1377,plain,
    $false,
    inference(rat,[],[s835,s1373,s1314,s1376,s1375]) ).

fof(f3619,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1377]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN460+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 : n005.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 16:06:32 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/1.13  % (903953)Detected formulas, will run a generic FOF schedule.
% 3.37/1.13  % (903962)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1337118924:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.37/1.13  % (903962)Instruction limit reached! 
% 3.37/1.13  % (903962)------------------------------
% 3.37/1.13  % (903962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.13  % (903962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.13  % (903962)CaDiCaL version: 2.1.3
% 3.37/1.13  % (903962)Termination reason: Instruction limit
% 3.37/1.13  % (903962)Termination phase: Saturation
% 3.37/1.13  % (903962)Time elapsed: 0.030 s
% 3.37/1.13  % (903962)Peak memory usage: 88 MB
% 3.37/1.13  % (903962)Instructions burned: 120 (million)
% 3.37/1.13  % (903963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1442988016:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.37/1.13  % (903958)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=2409538727:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.37/1.13  % (903959)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=3229189819:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.37/1.13  % (903960)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=4107264219:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.37/1.13  % (903961)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4054100443:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.37/1.13  % (903964)dis-21_1_sil=8000:lcm=predicate:random_seed=2302887069:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.37/1.13  % (903964)First to succeed.
% 3.37/1.13  % (903961)Instruction limit reached! 
% 3.37/1.13  % (903961)------------------------------
% 3.37/1.13  % (903961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.13  % (903961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.13  % (903961)CaDiCaL version: 2.1.3
% 3.37/1.13  % (903961)Termination reason: Instruction limit
% 3.37/1.13  % (903961)Termination phase: Saturation
% 3.37/1.13  % (903961)Time elapsed: 0.069 s
% 3.37/1.13  % (903961)Peak memory usage: 90 MB
% 3.37/1.13  % (903961)Instructions burned: 110 (million)
% 3.37/1.13  % (903964)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-903953"
% 3.37/1.13  % (903966)lrs+10_1_sil=8000:sp=occurrence:random_seed=1637288452:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.37/1.13  % (903963)Instruction limit reached! 
% 3.37/1.13  % (903963)------------------------------
% 3.37/1.13  % (903963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.13  % (903963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.13  % (903963)CaDiCaL version: 2.1.3
% 3.37/1.13  % (903963)Termination reason: Instruction limit
% 3.37/1.13  % (903963)Termination phase: Saturation
% 3.37/1.13  % (903963)Time elapsed: 0.091 s
% 3.37/1.13  % (903963)Peak memory usage: 90 MB
% 3.37/1.13  % (903963)Instructions burned: 139 (million)
% 3.37/1.13  % (903966)Also succeeded, but the first one will report.
% 3.37/1.13  % (903973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=533240008:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.37/1.13  % (903975)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4196582297:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.37/1.13  % (903973)Instruction limit reached! 
% 3.37/1.13  % (903973)------------------------------
% 3.37/1.13  % (903973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.13  % (903973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.13  % (903973)CaDiCaL version: 2.1.3
% 3.37/1.13  % (903973)Termination reason: Instruction limit
% 3.37/1.13  % (903973)Termination phase: Saturation
% 3.37/1.13  % (903973)Time elapsed: 0.100 s
% 3.37/1.13  % (903973)Peak memory usage: 91 MB
% 3.37/1.13  % (903973)Instructions burned: 158 (million)
% 3.37/1.13  % (903964)Refutation found. Thanks to Tanya!
% 3.37/1.13  % SZS status Theorem for theBenchmark
% 3.37/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.33  % (903964)------------------------------
% 4.03/1.33  % (903964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.33  % (903964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.33  % (903964)CaDiCaL version: 2.1.3
% 4.03/1.33  % (903964)Termination reason: Refutation
% 4.03/1.33  % (903964)Time elapsed: 0.062 s
% 4.03/1.33  % (903964)Peak memory usage: 91 MB
% 4.03/1.33  % (903964)Instructions burned: 102 (million)
% 4.03/1.33  % (903964)------------------------------
% 4.03/1.33  % (903964)------------------------------
% 4.03/1.33  % (903953)Success in time 0.481 s
% 4.03/1.33  % Vampire exiting
%------------------------------------------------------------------------------