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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN486-1 : 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 : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:57:14 PM UTC 2026

% Result   : Unsatisfiable 1.85s 0.67s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :  291
% Syntax   : Number of formulae    : 1027 (  22 unt; 150 def)
%            Number of atoms       : 3335 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4005 (1697   ~;2158   |;   0   &)
%                                         ( 150 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  184 ( 183 usr; 180 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  185 (   0 sgn 185   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f7,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f14,negated_conjecture,
    ( ~ hskp17
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f32,negated_conjecture,
    ( hskp8
    | hskp4
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp5
    | hskp2
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp5
    | hskp19
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp15
    | hskp3
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp13
    | hskp0
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp13
    | hskp24
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp21
    | hskp25
    | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp24
    | hskp26
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( hskp24
    | hskp2
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( hskp17
    | hskp3
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c0_1(a2208) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp30
    | c1_1(a2208) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c3_1(a2208) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c1_1(a2196) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2196) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c3_1(a2196) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2188) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2188) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f51,negated_conjecture,
    ( ~ hskp27
    | c0_1(a2178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp27
    | c2_1(a2178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp27
    | c3_1(a2178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( ~ hskp25
    | c1_1(a2265) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp25
    | c3_1(a2265) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp24
    | c1_1(a2262) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp24
    | c3_1(a2262) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp22
    | c2_1(a2219) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp21
    | c0_1(a2216) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c2_1(a2197) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp17
    | c3_1(a2197) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp15
    | c0_1(a2194) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp15
    | c3_1(a2194) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp14
    | c3_1(a2193) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp13
    | c0_1(a2191) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c0_1(a2187) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp11
    | c2_1(a2187) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp10
    | c3_1(a2186) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp9
    | c2_1(a2185) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp8
    | c0_1(a2184) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp8
    | c1_1(a2184) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp7
    | c2_1(a2182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp7
    | c3_1(a2182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp6
    | c1_1(a2181) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp6
    | c2_1(a2181) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp5
    | c0_1(a2180) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp5
    | c3_1(a2180) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp4
    | c0_1(a2179) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp4
    | c2_1(a2179) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp2
    | c1_1(a2176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c2_1(a2175) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp0
    | c1_1(a2174) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp0
    | c2_1(a2174) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f91,negated_conjecture,
    ( ~ c2_1(a2265)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a2262)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a2248)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a2248)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a2248)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a2219)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a2219)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a2216)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a2216)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f101,negated_conjecture,
    ( ~ c0_1(a2211)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c2_1(a2211)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c3_1(a2211)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a2197)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a2195)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a2195)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c2_1(a2194)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a2193)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a2191)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a2187)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a2186)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a2186)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a2185)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a2185)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a2184)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c0_1(a2182)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a2181)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c1_1(a2180)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a2179)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c0_1(a2177)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c1_1(a2177)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c3_1(a2177)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c3_1(a2176)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c0_1(a2175)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a2175)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c0_1(a2174)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp29
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp13
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp15
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp13
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp17
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp29
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp11
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp0
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp11
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f202,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f208,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f211,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f213,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f200,f211,f208,f205,f202]) ).

fof(f215,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f223,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f199,f221,f208,f218,f215]) ).

fof(f225,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f228,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f230,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f211,f208,f228,f225]) ).

fof(f232,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f238,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f240,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f197,f238,f208,f235,f232]) ).

fof(f242,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f248,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f250,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f196,f248,f208,f245,f242]) ).

fof(f252,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f255,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f256,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f259,definition,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f260,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f194,f218,f208,f262,f259]) ).

fof(f266,definition,
    ( spl0_20
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( spl0_20
    | spl0_9
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f193,f235,f208,f228,f266]) ).

fof(f270,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f272,plain,
    ( spl0_10
    | spl0_21
    | spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f192,f208,f228,f270,f232]) ).

fof(f274,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f275,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f276,plain,
    ( spl0_21
    | spl0_20
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f191,f274,f208,f266,f270]) ).

fof(f278,definition,
    ( spl0_23
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f279,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f281,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f282,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f283,plain,
    ( spl0_23
    | spl0_18
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f190,f281,f208,f259,f278]) ).

fof(f285,definition,
    ( spl0_25
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f287,plain,
    ( spl0_25
    | spl0_11
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f189,f274,f208,f235,f285]) ).

fof(f288,plain,
    ( spl0_25
    | spl0_18
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f188,f242,f208,f259,f285]) ).

fof(f289,plain,
    ( spl0_23
    | spl0_10
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f187,f262,f208,f232,f278]) ).

fof(f291,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f295,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f296,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f186,f238,f208,f294,f291]) ).

fof(f301,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f302,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f308,definition,
    ( spl0_31
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_32
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f314,plain,
    ( spl0_32
    | spl0_13
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f183,f221,f208,f242,f312]) ).

fof(f320,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f322,plain,
    ( spl0_34
    | spl0_19
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f181,f245,f208,f262,f320]) ).

fof(f324,definition,
    ( spl0_35
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f326,plain,
    ( spl0_35
    | spl0_19
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f180,f245,f208,f262,f324]) ).

fof(f328,definition,
    ( spl0_36
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f330,plain,
    ( spl0_36
    | spl0_13
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f179,f205,f208,f242,f328]) ).

fof(f332,definition,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f334,plain,
    ( spl0_31
    | spl0_9
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f178,f332,f208,f228,f308]) ).

fof(f336,definition,
    ( spl0_38
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f340,definition,
    ( spl0_39
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f343,definition,
    ( spl0_40
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f176,f262,f208,f343,f340]) ).

fof(f347,definition,
    ( spl0_41
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f349,plain,
    ( spl0_41
    | spl0_13
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f175,f252,f208,f242,f347]) ).

fof(f353,definition,
    ( spl0_42
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f355,plain,
    ( spl0_42
    | spl0_5
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f172,f301,f208,f215,f353]) ).

fof(f361,definition,
    ( spl0_44
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_46
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f372,definition,
    ( spl0_47
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f374,plain,
    ( spl0_47
    | spl0_21
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f168,f332,f208,f270,f372]) ).

fof(f375,plain,
    ( spl0_31
    | spl0_8
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f167,f228,f208,f225,f308]) ).

fof(f376,plain,
    ( spl0_32
    | spl0_23
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f166,f238,f208,f278,f312]) ).

fof(f377,plain,
    ( spl0_32
    | spl0_16
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f165,f202,f208,f252,f312]) ).

fof(f379,definition,
    ( spl0_48
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f383,definition,
    ( spl0_49
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f385,plain,
    ( spl0_49
    | spl0_5
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f163,f248,f208,f215,f383]) ).

fof(f386,plain,
    ( spl0_34
    | spl0_5
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f162,f202,f208,f215,f320]) ).

fof(f388,plain,
    ( spl0_26
    | spl0_21
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f160,f259,f208,f270,f291]) ).

fof(f390,definition,
    ( spl0_50
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f394,definition,
    ( spl0_51
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f396,plain,
    ( spl0_51
    | spl0_23
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f158,f245,f208,f278,f394]) ).

fof(f397,plain,
    ( spl0_47
    | spl0_25
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f157,f245,f208,f285,f372]) ).

fof(f398,plain,
    ( spl0_44
    | spl0_10
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f156,f343,f208,f232,f361]) ).

fof(f400,plain,
    ( spl0_36
    | spl0_31
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f154,f221,f208,f308,f328]) ).

fof(f401,plain,
    ( spl0_51
    | spl0_42
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f153,f238,f208,f353,f394]) ).

fof(f403,definition,
    ( spl0_52
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f405,plain,
    ( spl0_52
    | spl0_31
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f152,f211,f208,f308,f403]) ).

fof(f406,plain,
    ( spl0_52
    | spl0_47
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f151,f294,f208,f372,f403]) ).

fof(f407,plain,
    ( spl0_34
    | spl0_42
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f150,f255,f208,f353,f320]) ).

fof(f409,definition,
    ( spl0_53
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f411,plain,
    ( spl0_53
    | spl0_41
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f149,f205,f208,f347,f409]) ).

fof(f413,definition,
    ( spl0_54
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_34
    | spl0_54
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f148,f301,f208,f413,f320]) ).

fof(f416,plain,
    ( spl0_36
    | spl0_49
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f147,f235,f208,f383,f328]) ).

fof(f419,definition,
    ( spl0_55
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f421,plain,
    ( spl0_50
    | spl0_55
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f145,f228,f208,f419,f390]) ).

fof(f422,plain,
    ( spl0_36
    | spl0_49
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f144,f274,f208,f383,f328]) ).

fof(f427,plain,
    ( spl0_47
    | spl0_55
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f142,f343,f208,f419,f372]) ).

fof(f430,definition,
    ( spl0_57
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f432,plain,
    ( spl0_51
    | spl0_57
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f140,f252,f208,f430,f394]) ).

fof(f433,plain,
    ( spl0_54
    | spl0_41
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f139,f266,f208,f347,f413]) ).

fof(f434,plain,
    ( spl0_36
    | spl0_55
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f138,f266,f208,f419,f328]) ).

fof(f437,definition,
    ( spl0_58
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_59
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f442,plain,
    ( spl0_58
    | spl0_59
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f136,f225,f208,f440,f437]) ).

fof(f443,plain,
    ( spl0_36
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f135,f252,f208,f328]) ).

fof(f446,definition,
    ( spl0_60
  <=> c0_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f448,plain,
    ( ~ spl0_47
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f134,f446,f372]) ).

fof(f451,definition,
    ( spl0_61
  <=> c3_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f452,plain,
    ( ~ c3_1(a2175)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( ~ spl0_51
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f133,f451,f394]) ).

fof(f455,definition,
    ( spl0_62
  <=> c0_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f457,plain,
    ( ~ spl0_51
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f132,f455,f394]) ).

fof(f460,definition,
    ( spl0_63
  <=> c3_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f461,plain,
    ( ~ c3_1(a2176)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( ~ spl0_32
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f131,f460,f312]) ).

fof(f464,definition,
    ( spl0_64
  <=> c0_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f466,plain,
    ( ~ spl0_32
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f130,f464,f312]) ).

fof(f469,definition,
    ( spl0_65
  <=> c3_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ c3_1(a2177)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( ~ spl0_50
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f129,f469,f390]) ).

fof(f473,definition,
    ( spl0_66
  <=> c1_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f475,plain,
    ( ~ spl0_50
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f128,f473,f390]) ).

fof(f477,definition,
    ( spl0_67
  <=> c0_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f479,plain,
    ( ~ spl0_50
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f127,f477,f390]) ).

fof(f482,definition,
    ( spl0_68
  <=> c3_1(a2179) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f484,plain,
    ( ~ spl0_38
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f126,f482,f336]) ).

fof(f487,definition,
    ( spl0_69
  <=> c1_1(a2180) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f489,plain,
    ( ~ spl0_59
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f125,f487,f440]) ).

fof(f492,definition,
    ( spl0_70
  <=> c3_1(a2181) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ c3_1(a2181)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f494,plain,
    ( ~ spl0_58
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f124,f492,f437]) ).

fof(f497,definition,
    ( spl0_71
  <=> c0_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ spl0_26
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f123,f497,f291]) ).

fof(f502,definition,
    ( spl0_72
  <=> c3_1(a2184) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f503,plain,
    ( ~ c3_1(a2184)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( ~ spl0_46
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f122,f502,f368]) ).

fof(f507,definition,
    ( spl0_73
  <=> c1_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ spl0_53
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f121,f507,f409]) ).

fof(f511,definition,
    ( spl0_74
  <=> c0_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f513,plain,
    ( ~ spl0_53
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f120,f511,f409]) ).

fof(f516,definition,
    ( spl0_75
  <=> c1_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f518,plain,
    ( ~ spl0_34
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f119,f516,f320]) ).

fof(f520,definition,
    ( spl0_76
  <=> c0_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f118,f520,f320]) ).

fof(f525,definition,
    ( spl0_77
  <=> c1_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ spl0_42
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f117,f525,f353]) ).

fof(f539,definition,
    ( spl0_80
  <=> c3_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c3_1(a2191)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( ~ spl0_49
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f114,f539,f383]) ).

fof(f543,definition,
    ( spl0_81
  <=> c1_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ spl0_49
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f113,f543,f383]) ).

fof(f548,definition,
    ( spl0_82
  <=> c2_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ c2_1(a2193)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f550,plain,
    ( ~ spl0_48
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f112,f548,f379]) ).

fof(f552,definition,
    ( spl0_83
  <=> c1_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ spl0_48
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f111,f552,f379]) ).

fof(f557,definition,
    ( spl0_84
  <=> c2_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ c2_1(a2194)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( ~ spl0_55
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f557,f419]) ).

fof(f562,definition,
    ( spl0_85
  <=> c3_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f563,plain,
    ( ~ c3_1(a2195)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( ~ spl0_36
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f109,f562,f328]) ).

fof(f566,definition,
    ( spl0_86
  <=> c2_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c2_1(a2195)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( ~ spl0_36
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f108,f566,f328]) ).

fof(f570,definition,
    ( spl0_87
  <=> c1_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ spl0_36
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f107,f570,f328]) ).

fof(f575,definition,
    ( spl0_88
  <=> c1_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ spl0_54
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f106,f575,f413]) ).

fof(f589,definition,
    ( spl0_91
  <=> c3_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ c3_1(a2211)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( ~ spl0_39
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f103,f589,f340]) ).

fof(f593,definition,
    ( spl0_92
  <=> c2_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ c2_1(a2211)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f595,plain,
    ( ~ spl0_39
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f102,f593,f340]) ).

fof(f597,definition,
    ( spl0_93
  <=> c0_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ spl0_39
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f101,f597,f340]) ).

fof(f607,definition,
    ( spl0_95
  <=> c3_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ spl0_35
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f99,f607,f324]) ).

fof(f611,definition,
    ( spl0_96
  <=> c2_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c2_1(a2216)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_35
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f98,f611,f324]) ).

fof(f616,definition,
    ( spl0_97
  <=> c3_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c3_1(a2219)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( ~ spl0_52
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f97,f616,f403]) ).

fof(f620,definition,
    ( spl0_98
  <=> c1_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ spl0_52
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f96,f620,f403]) ).

fof(f624,definition,
    ( spl0_99
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f627,definition,
    ( spl0_100
  <=> c2_1(a2248) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c2_1(a2248)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f95,f627,f624]) ).

fof(f631,definition,
    ( spl0_101
  <=> c1_1(a2248) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_99
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f94,f631,f624]) ).

fof(f635,definition,
    ( spl0_102
  <=> c0_1(a2248) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ spl0_99
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f93,f635,f624]) ).

fof(f639,definition,
    ( spl0_103
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f642,definition,
    ( spl0_104
  <=> c0_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f92,f642,f639]) ).

fof(f646,definition,
    ( spl0_105
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f649,definition,
    ( spl0_106
  <=> c2_1(a2265) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f650,plain,
    ( ~ c2_1(a2265)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f651,plain,
    ( ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f91,f649,f646]) ).

fof(f653,definition,
    ( spl0_107
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f664,definition,
    ( spl0_110
  <=> c2_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f665,plain,
    ( c2_1(a2174)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f666,plain,
    ( spl0_110
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f88,f372,f664]) ).

fof(f668,definition,
    ( spl0_111
  <=> c1_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_111
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f87,f372,f668]) ).

fof(f672,definition,
    ( spl0_112
  <=> c2_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f673,plain,
    ( c2_1(a2175)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_112
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f86,f394,f672]) ).

fof(f676,definition,
    ( spl0_113
  <=> c1_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f678,plain,
    ( spl0_113
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f85,f312,f676]) ).

fof(f680,definition,
    ( spl0_114
  <=> c2_1(a2179) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f681,plain,
    ( c2_1(a2179)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( spl0_114
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f84,f336,f680]) ).

fof(f684,definition,
    ( spl0_115
  <=> c0_1(a2179) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f686,plain,
    ( spl0_115
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f83,f336,f684]) ).

fof(f688,definition,
    ( spl0_116
  <=> c3_1(a2180) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f689,plain,
    ( c3_1(a2180)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_116
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f82,f440,f688]) ).

fof(f692,definition,
    ( spl0_117
  <=> c0_1(a2180) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f694,plain,
    ( spl0_117
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f81,f440,f692]) ).

fof(f696,definition,
    ( spl0_118
  <=> c2_1(a2181) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f697,plain,
    ( c2_1(a2181)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( spl0_118
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f80,f437,f696]) ).

fof(f700,definition,
    ( spl0_119
  <=> c1_1(a2181) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f702,plain,
    ( spl0_119
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f79,f437,f700]) ).

fof(f704,definition,
    ( spl0_120
  <=> c3_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_120
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f78,f291,f704]) ).

fof(f708,definition,
    ( spl0_121
  <=> c2_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f709,plain,
    ( c2_1(a2182)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_121
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f77,f291,f708]) ).

fof(f712,definition,
    ( spl0_122
  <=> c1_1(a2184) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_122
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f76,f368,f712]) ).

fof(f716,definition,
    ( spl0_123
  <=> c0_1(a2184) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_123
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f75,f368,f716]) ).

fof(f720,definition,
    ( spl0_124
  <=> c2_1(a2185) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f721,plain,
    ( c2_1(a2185)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_124
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f74,f409,f720]) ).

fof(f724,definition,
    ( spl0_125
  <=> c3_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f725,plain,
    ( c3_1(a2186)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_125
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f73,f320,f724]) ).

fof(f728,definition,
    ( spl0_126
  <=> c2_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f729,plain,
    ( c2_1(a2187)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f730,plain,
    ( spl0_126
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f72,f353,f728]) ).

fof(f732,definition,
    ( spl0_127
  <=> c0_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f734,plain,
    ( spl0_127
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f71,f353,f732]) ).

fof(f740,definition,
    ( spl0_129
  <=> c0_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f742,plain,
    ( spl0_129
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f69,f383,f740]) ).

fof(f744,definition,
    ( spl0_130
  <=> c3_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f745,plain,
    ( c3_1(a2193)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_130
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f68,f379,f744]) ).

fof(f748,definition,
    ( spl0_131
  <=> c3_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f749,plain,
    ( c3_1(a2194)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f750,plain,
    ( spl0_131
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f67,f419,f748]) ).

fof(f752,definition,
    ( spl0_132
  <=> c0_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f754,plain,
    ( spl0_132
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f66,f419,f752]) ).

fof(f756,definition,
    ( spl0_133
  <=> c3_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f757,plain,
    ( c3_1(a2197)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f758,plain,
    ( spl0_133
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f65,f413,f756]) ).

fof(f760,definition,
    ( spl0_134
  <=> c2_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f761,plain,
    ( c2_1(a2197)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( spl0_134
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f64,f413,f760]) ).

fof(f776,definition,
    ( spl0_138
  <=> c0_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f777,plain,
    ( c0_1(a2216)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f778,plain,
    ( spl0_138
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f60,f324,f776]) ).

fof(f780,definition,
    ( spl0_139
  <=> c2_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f781,plain,
    ( c2_1(a2219)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f782,plain,
    ( spl0_139
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f59,f403,f780]) ).

fof(f784,definition,
    ( spl0_140
  <=> c3_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f785,plain,
    ( c3_1(a2262)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f786,plain,
    ( spl0_140
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f58,f639,f784]) ).

fof(f788,definition,
    ( spl0_141
  <=> c1_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_141
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f57,f639,f788]) ).

fof(f792,definition,
    ( spl0_142
  <=> c3_1(a2265) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_142
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f56,f646,f792]) ).

fof(f796,definition,
    ( spl0_143
  <=> c1_1(a2265) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_143
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f55,f646,f796]) ).

fof(f804,definition,
    ( spl0_145
  <=> c3_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f805,plain,
    ( c3_1(a2178)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( spl0_145
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f53,f308,f804]) ).

fof(f809,definition,
    ( spl0_146
  <=> c2_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f810,plain,
    ( c2_1(a2178)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f811,plain,
    ( spl0_146
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f52,f308,f809]) ).

fof(f813,definition,
    ( spl0_147
  <=> c0_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_147
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f51,f308,f813]) ).

fof(f822,definition,
    ( spl0_149
  <=> c1_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f824,plain,
    ( spl0_149
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f49,f361,f822]) ).

fof(f826,definition,
    ( spl0_150
  <=> c0_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f827,plain,
    ( c0_1(a2188)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f828,plain,
    ( spl0_150
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f48,f361,f826]) ).

fof(f830,definition,
    ( spl0_151
  <=> c3_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f831,plain,
    ( c3_1(a2196)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( spl0_151
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f47,f347,f830]) ).

fof(f835,definition,
    ( spl0_152
  <=> c2_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f836,plain,
    ( c2_1(a2196)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f837,plain,
    ( spl0_152
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f46,f347,f835]) ).

fof(f839,definition,
    ( spl0_153
  <=> c1_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_153
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f45,f347,f839]) ).

fof(f843,definition,
    ( spl0_154
  <=> c3_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f844,plain,
    ( c3_1(a2208)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_154
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f44,f430,f843]) ).

fof(f848,definition,
    ( spl0_155
  <=> c1_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f850,plain,
    ( spl0_155
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f43,f430,f848]) ).

fof(f852,definition,
    ( spl0_156
  <=> c0_1(a2208) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_156
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f42,f430,f852]) ).

fof(f855,plain,
    ( spl0_36
    | spl0_50
    | spl0_54 ),
    inference(avatar_split_clause,[],[f41,f413,f390,f328]) ).

fof(f857,plain,
    ( spl0_53
    | spl0_32
    | spl0_103 ),
    inference(avatar_split_clause,[],[f40,f639,f312,f409]) ).

fof(f859,plain,
    ( spl0_54
    | spl0_107
    | spl0_103 ),
    inference(avatar_split_clause,[],[f39,f639,f653,f413]) ).

fof(f861,plain,
    ( spl0_52
    | spl0_105
    | spl0_35 ),
    inference(avatar_split_clause,[],[f38,f324,f646,f403]) ).

fof(f862,plain,
    ( spl0_48
    | spl0_103
    | spl0_49 ),
    inference(avatar_split_clause,[],[f37,f383,f639,f379]) ).

fof(f863,plain,
    ( spl0_34
    | spl0_47
    | spl0_49 ),
    inference(avatar_split_clause,[],[f36,f383,f372,f320]) ).

fof(f864,plain,
    ( spl0_36
    | spl0_50
    | spl0_55 ),
    inference(avatar_split_clause,[],[f35,f419,f390,f328]) ).

fof(f865,plain,
    ( spl0_36
    | spl0_39
    | spl0_59 ),
    inference(avatar_split_clause,[],[f34,f440,f340,f328]) ).

fof(f866,plain,
    ( spl0_39
    | spl0_32
    | spl0_59 ),
    inference(avatar_split_clause,[],[f33,f440,f312,f340]) ).

fof(f868,plain,
    ( spl0_99
    | spl0_38
    | spl0_46 ),
    inference(avatar_split_clause,[],[f32,f368,f336,f624]) ).

fof(f887,plain,
    ( spl0_3
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f14,f413,f208]) ).

fof(f894,plain,
    ( spl0_3
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f7,f639,f208]) ).

fof(f896,plain,
    ( spl0_3
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f5,f653,f208]) ).

fof(f906,definition,
    ( spl0_157
  <=> c1_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f911,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f212,f206]) ).

fof(f912,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f911]) ).

fof(f923,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(resolution,[],[f226,f216]) ).

fof(f924,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f923]) ).

fof(f925,plain,
    ( spl0_21
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f924,f225,f215,f270]) ).

fof(f927,definition,
    ( spl0_159
  <=> c0_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f943,plain,
    ( ~ c1_1(a2216)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_138 ),
    inference(resolution,[],[f912,f777]) ).

fof(f947,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_11
    | ~ spl0_133 ),
    inference(resolution,[],[f236,f757]) ).

fof(f955,plain,
    ( ~ spl0_159
    | spl0_88
    | ~ spl0_11
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f947,f756,f235,f575,f927]) ).

fof(f962,plain,
    ( c1_1(a2197)
    | ~ c3_1(a2197)
    | ~ spl0_14
    | ~ spl0_134 ),
    inference(resolution,[],[f246,f761]) ).

fof(f963,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(resolution,[],[f246,f216]) ).

fof(f965,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f963]) ).

fof(f966,plain,
    ( spl0_21
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f965,f245,f215,f270]) ).

fof(f970,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f222,f216]) ).

fof(f972,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f970]) ).

fof(f973,plain,
    ( spl0_24
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f972,f221,f215,f281]) ).

fof(f977,plain,
    ( c3_1(a2216)
    | ~ c0_1(a2216)
    | ~ spl0_15
    | spl0_96 ),
    inference(resolution,[],[f249,f612]) ).

fof(f979,plain,
    ( c3_1(a2195)
    | ~ c0_1(a2195)
    | ~ spl0_15
    | spl0_86 ),
    inference(resolution,[],[f249,f567]) ).

fof(f982,definition,
    ( spl0_161
  <=> c0_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ spl0_161
    | spl0_85
    | ~ spl0_15
    | spl0_86 ),
    inference(avatar_split_clause,[],[f979,f566,f248,f562,f982]) ).

fof(f987,plain,
    ( ~ spl0_138
    | spl0_95
    | ~ spl0_15
    | spl0_96 ),
    inference(avatar_split_clause,[],[f977,f611,f248,f607,f776]) ).

fof(f993,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f253,f239]) ).

fof(f997,plain,
    ( ~ c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_16
    | spl0_86 ),
    inference(resolution,[],[f253,f567]) ).

fof(f998,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f993]) ).

fof(f1001,plain,
    ( spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f998,f252,f238,f235]) ).

fof(f1006,definition,
    ( spl0_162
  <=> c1_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1014,definition,
    ( spl0_163
  <=> c1_1(a2178) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1025,plain,
    ( c3_1(a2195)
    | c1_1(a2195)
    | ~ spl0_10
    | spl0_86 ),
    inference(resolution,[],[f233,f567]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(resolution,[],[f256,f253]) ).

fof(f1038,plain,
    ( c3_1(a2219)
    | ~ c0_1(a2219)
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(resolution,[],[f256,f781]) ).

fof(f1040,plain,
    ( c3_1(a2179)
    | ~ c0_1(a2179)
    | ~ spl0_17
    | ~ spl0_114 ),
    inference(resolution,[],[f256,f681]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1034]) ).

fof(f1048,definition,
    ( spl0_164
  <=> c0_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1052,plain,
    ( spl0_40
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1043,f255,f252,f343]) ).

fof(f1057,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(resolution,[],[f260,f233]) ).

fof(f1062,plain,
    ( c3_1(a2219)
    | c0_1(a2219)
    | ~ spl0_18
    | ~ spl0_139 ),
    inference(resolution,[],[f260,f781]) ).

fof(f1066,plain,
    ( c3_1(a2175)
    | c0_1(a2175)
    | ~ spl0_18
    | ~ spl0_112 ),
    inference(resolution,[],[f260,f673]) ).

fof(f1069,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1057]) ).

fof(f1071,plain,
    ( spl0_62
    | spl0_61
    | ~ spl0_18
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1066,f672,f259,f451,f455]) ).

fof(f1074,plain,
    ( spl0_23
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1069,f259,f232,f278]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(resolution,[],[f263,f233]) ).

fof(f1077,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(resolution,[],[f263,f249]) ).

fof(f1080,plain,
    ( c1_1(a2219)
    | ~ c0_1(a2219)
    | ~ spl0_19
    | ~ spl0_139 ),
    inference(resolution,[],[f263,f781]) ).

fof(f1081,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_19
    | ~ spl0_134 ),
    inference(resolution,[],[f263,f761]) ).

fof(f1082,plain,
    ( c1_1(a2187)
    | ~ c0_1(a2187)
    | ~ spl0_19
    | ~ spl0_126 ),
    inference(resolution,[],[f263,f729]) ).

fof(f1085,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1077]) ).

fof(f1087,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1075]) ).

fof(f1098,plain,
    ( spl0_40
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1085,f262,f248,f343]) ).

fof(f1099,plain,
    ( spl0_40
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1087,f262,f232,f343]) ).

fof(f1113,definition,
    ( spl0_165
  <=> c0_1(a2181) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1125,definition,
    ( spl0_166
  <=> c1_1(a2211) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1141,plain,
    ( c1_1(a2197)
    | c0_1(a2197)
    | ~ spl0_8
    | ~ spl0_134 ),
    inference(resolution,[],[f226,f761]) ).

fof(f1174,plain,
    ( c0_1(a2181)
    | ~ c1_1(a2181)
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(resolution,[],[f229,f697]) ).

fof(f1183,plain,
    ( spl0_159
    | spl0_88
    | ~ spl0_8
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1141,f760,f225,f575,f927]) ).

fof(f1246,plain,
    ( c1_1(a2175)
    | c0_1(a2175)
    | ~ spl0_8
    | ~ spl0_112 ),
    inference(resolution,[],[f226,f673]) ).

fof(f1254,plain,
    ( c1_1(a2180)
    | ~ c0_1(a2180)
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(resolution,[],[f236,f689]) ).

fof(f1256,plain,
    ( ~ spl0_117
    | spl0_69
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1254,f688,f235,f487,f692]) ).

fof(f1261,plain,
    ( ~ c3_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(resolution,[],[f239,f761]) ).

fof(f1274,plain,
    ( c1_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl0_11
    | ~ spl0_145 ),
    inference(resolution,[],[f805,f236]) ).

fof(f1275,plain,
    ( ~ spl0_147
    | spl0_163
    | ~ spl0_11
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1274,f804,f235,f1014,f813]) ).

fof(f1276,plain,
    ( ~ c3_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(resolution,[],[f810,f239]) ).

fof(f1279,plain,
    ( c1_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl0_19
    | ~ spl0_146 ),
    inference(resolution,[],[f810,f263]) ).

fof(f1280,plain,
    ( ~ spl0_147
    | spl0_163
    | ~ spl0_19
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1279,f809,f262,f1014,f813]) ).

fof(f1281,plain,
    ( ~ spl0_147
    | ~ spl0_145
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1276,f809,f238,f804,f813]) ).

fof(f1290,plain,
    ( ~ c0_1(a2178)
    | ~ c1_1(a2178)
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(resolution,[],[f212,f805]) ).

fof(f1298,plain,
    ( ~ spl0_163
    | ~ spl0_147
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1290,f804,f211,f813,f1014]) ).

fof(f1305,plain,
    ( ~ c1_1(a2176)
    | c0_1(a2176)
    | ~ spl0_20
    | spl0_63 ),
    inference(resolution,[],[f267,f461]) ).

fof(f1322,definition,
    ( spl0_169
  <=> c0_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1327,plain,
    ( ~ c3_1(a2196)
    | ~ c0_1(a2196)
    | ~ spl0_12
    | ~ spl0_152 ),
    inference(resolution,[],[f836,f239]) ).

fof(f1336,plain,
    ( ~ spl0_169
    | ~ spl0_151
    | ~ spl0_12
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1327,f835,f238,f830,f1322]) ).

fof(f1350,plain,
    ( ~ c1_1(a2211)
    | c0_1(a2211)
    | ~ spl0_20
    | spl0_91 ),
    inference(resolution,[],[f267,f590]) ).

fof(f1365,plain,
    ( c1_1(a2186)
    | c0_1(a2186)
    | ~ spl0_21
    | ~ spl0_125 ),
    inference(resolution,[],[f271,f725]) ).

fof(f1392,plain,
    ( ~ c0_1(a2208)
    | ~ c1_1(a2208)
    | ~ spl0_4
    | ~ spl0_154 ),
    inference(resolution,[],[f844,f212]) ).

fof(f1395,plain,
    ( ~ spl0_155
    | ~ spl0_156
    | ~ spl0_4
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1392,f843,f211,f852,f848]) ).

fof(f1399,plain,
    ( ~ c1_1(a2175)
    | c0_1(a2175)
    | ~ spl0_20
    | spl0_61 ),
    inference(resolution,[],[f452,f267]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(resolution,[],[f253,f203]) ).

fof(f1428,plain,
    ( ~ c0_1(a2216)
    | c1_1(a2216)
    | ~ spl0_16
    | spl0_96 ),
    inference(resolution,[],[f253,f612]) ).

fof(f1431,plain,
    ( ~ c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_16
    | spl0_86 ),
    inference(resolution,[],[f253,f567]) ).

fof(f1435,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1419]) ).

fof(f1436,plain,
    ( spl0_40
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1435,f252,f202,f343]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(resolution,[],[f275,f229]) ).

fof(f1446,plain,
    ( c3_1(a2216)
    | ~ c1_1(a2216)
    | ~ spl0_22
    | spl0_96 ),
    inference(resolution,[],[f275,f612]) ).

fof(f1448,plain,
    ( c3_1(a2211)
    | ~ c1_1(a2211)
    | ~ spl0_22
    | spl0_92 ),
    inference(resolution,[],[f275,f594]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1440]) ).

fof(f1461,plain,
    ( c0_1(a2175)
    | c1_1(a2175)
    | ~ spl0_23
    | spl0_61 ),
    inference(resolution,[],[f279,f452]) ).

fof(f1463,plain,
    ( c0_1(a2211)
    | c1_1(a2211)
    | ~ spl0_23
    | spl0_91 ),
    inference(resolution,[],[f279,f590]) ).

fof(f1464,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_23
    | spl0_85 ),
    inference(resolution,[],[f279,f563]) ).

fof(f1465,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | ~ spl0_23
    | spl0_65 ),
    inference(resolution,[],[f279,f470]) ).

fof(f1477,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(resolution,[],[f246,f253]) ).

fof(f1479,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1477]) ).

fof(f1483,plain,
    ( c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_24
    | ~ spl0_151 ),
    inference(resolution,[],[f282,f831]) ).

fof(f1486,plain,
    ( c0_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_24
    | ~ spl0_140 ),
    inference(resolution,[],[f282,f785]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_25 ),
    inference(resolution,[],[f286,f203]) ).

fof(f1505,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(resolution,[],[f286,f243]) ).

fof(f1511,plain,
    ( c0_1(a2248)
    | c1_1(a2248)
    | ~ spl0_25
    | spl0_100 ),
    inference(resolution,[],[f286,f628]) ).

fof(f1512,plain,
    ( c0_1(a2211)
    | c1_1(a2211)
    | ~ spl0_25
    | spl0_92 ),
    inference(resolution,[],[f286,f594]) ).

fof(f1513,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_25
    | spl0_86 ),
    inference(resolution,[],[f286,f567]) ).

fof(f1517,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1505]) ).

fof(f1520,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1500]) ).

fof(f1523,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_25
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1511,f627,f285,f635,f631]) ).

fof(f1527,plain,
    ( spl0_21
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1517,f285,f242,f270]) ).

fof(f1528,plain,
    ( spl0_23
    | ~ spl0_1
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1520,f285,f202,f278]) ).

fof(f1541,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(resolution,[],[f302,f239]) ).

fof(f1546,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(resolution,[],[f302,f295]) ).

fof(f1552,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1546]) ).

fof(f1554,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1541]) ).

fof(f1560,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_37 ),
    inference(resolution,[],[f333,f229]) ).

fof(f1567,plain,
    ( ~ c1_1(a2265)
    | ~ c3_1(a2265)
    | ~ spl0_37
    | spl0_106 ),
    inference(resolution,[],[f333,f650]) ).

fof(f1576,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1560]) ).

fof(f1578,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_37
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1567,f649,f332,f796,f792]) ).

fof(f1580,plain,
    ( spl0_24
    | ~ spl0_9
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1576,f332,f228,f281]) ).

fof(f1582,plain,
    ( ~ c3_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(resolution,[],[f665,f222]) ).

fof(f1584,plain,
    ( c0_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl0_9
    | ~ spl0_110 ),
    inference(resolution,[],[f665,f229]) ).

fof(f1586,plain,
    ( c0_1(a2174)
    | ~ c3_1(a2174)
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(resolution,[],[f665,f243]) ).

fof(f1588,plain,
    ( c3_1(a2174)
    | c0_1(a2174)
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(resolution,[],[f665,f260]) ).

fof(f1590,plain,
    ( c3_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(resolution,[],[f665,f295]) ).

fof(f1593,definition,
    ( spl0_170
  <=> c3_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1595,plain,
    ( ~ spl0_111
    | spl0_170
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1590,f664,f294,f1593,f668]) ).

fof(f1597,plain,
    ( spl0_60
    | spl0_170
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1588,f664,f259,f1593,f446]) ).

fof(f1600,plain,
    ( ~ spl0_170
    | spl0_60
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1586,f664,f242,f446,f1593]) ).

fof(f1601,plain,
    ( ~ spl0_111
    | spl0_60
    | ~ spl0_9
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1584,f664,f228,f446,f668]) ).

fof(f1603,plain,
    ( ~ spl0_111
    | ~ spl0_170
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1582,f664,f221,f1593,f668]) ).

fof(f1609,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(resolution,[],[f256,f302]) ).

fof(f1616,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1609]) ).

fof(f1623,plain,
    ( c1_1(a2197)
    | c0_1(a2197)
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(resolution,[],[f271,f757]) ).

fof(f1632,plain,
    ( ~ c0_1(a2219)
    | c1_1(a2219)
    | ~ spl0_40
    | spl0_97 ),
    inference(resolution,[],[f344,f617]) ).

fof(f1634,plain,
    ( ~ c0_1(a2191)
    | c1_1(a2191)
    | ~ spl0_40
    | spl0_80 ),
    inference(resolution,[],[f344,f540]) ).

fof(f1648,plain,
    ( spl0_81
    | ~ spl0_129
    | ~ spl0_40
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1634,f539,f343,f740,f543]) ).

fof(f1649,plain,
    ( spl0_98
    | ~ spl0_164
    | ~ spl0_40
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1632,f616,f343,f1048,f620]) ).

fof(f1652,plain,
    ( ~ spl0_141
    | spl0_104
    | ~ spl0_24
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1486,f784,f281,f642,f788]) ).

fof(f1659,plain,
    ( spl0_87
    | spl0_85
    | ~ spl0_10
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1025,f566,f232,f562,f570]) ).

fof(f1662,plain,
    ( ~ spl0_157
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f943,f776,f211,f205,f906]) ).

fof(f1667,plain,
    ( spl0_87
    | ~ spl0_161
    | ~ spl0_16
    | spl0_86 ),
    inference(avatar_split_clause,[],[f997,f566,f252,f982,f570]) ).

fof(f1668,plain,
    ( spl0_87
    | ~ spl0_161
    | ~ spl0_16
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1431,f566,f252,f982,f570]) ).

fof(f1669,plain,
    ( ~ c0_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_29
    | spl0_84 ),
    inference(resolution,[],[f558,f302]) ).

fof(f1670,plain,
    ( ~ c0_1(a2194)
    | c1_1(a2194)
    | ~ spl0_16
    | spl0_84 ),
    inference(resolution,[],[f558,f253]) ).

fof(f1672,definition,
    ( spl0_171
  <=> c1_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1685,plain,
    ( ~ c3_1(a2182)
    | ~ c1_1(a2182)
    | ~ spl0_7
    | ~ spl0_121 ),
    inference(resolution,[],[f709,f222]) ).

fof(f1686,plain,
    ( c1_1(a2182)
    | c0_1(a2182)
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(resolution,[],[f709,f226]) ).

fof(f1689,plain,
    ( c0_1(a2182)
    | ~ c3_1(a2182)
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(resolution,[],[f709,f243]) ).

fof(f1690,plain,
    ( c1_1(a2182)
    | ~ c3_1(a2182)
    | ~ spl0_14
    | ~ spl0_121 ),
    inference(resolution,[],[f709,f246]) ).

fof(f1694,definition,
    ( spl0_172
  <=> c1_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1696,plain,
    ( ~ spl0_120
    | spl0_172
    | ~ spl0_14
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1690,f708,f245,f1694,f704]) ).

fof(f1698,plain,
    ( ~ spl0_120
    | spl0_71
    | ~ spl0_13
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1689,f708,f242,f497,f704]) ).

fof(f1701,plain,
    ( spl0_71
    | spl0_172
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1686,f708,f225,f1694,f497]) ).

fof(f1702,plain,
    ( ~ spl0_172
    | ~ spl0_120
    | ~ spl0_7
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1685,f708,f221,f704,f1694]) ).

fof(f1705,plain,
    ( spl0_76
    | spl0_75
    | ~ spl0_21
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1365,f724,f270,f516,f520]) ).

fof(f1762,plain,
    ( c0_1(a2175)
    | ~ c1_1(a2175)
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(resolution,[],[f673,f229]) ).

fof(f1766,plain,
    ( c3_1(a2175)
    | ~ c1_1(a2175)
    | ~ spl0_27
    | ~ spl0_112 ),
    inference(resolution,[],[f673,f295]) ).

fof(f1771,plain,
    ( ~ c0_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_4
    | ~ spl0_131 ),
    inference(resolution,[],[f749,f212]) ).

fof(f1801,plain,
    ( ~ c1_1(a2188)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(resolution,[],[f827,f912]) ).

fof(f1802,plain,
    ( ~ spl0_149
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1801,f826,f211,f205,f822]) ).

fof(f1805,plain,
    ( spl0_171
    | ~ spl0_132
    | ~ spl0_16
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1670,f557,f252,f752,f1672]) ).

fof(f1806,plain,
    ( spl0_11
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1479,f252,f245,f235]) ).

fof(f1807,plain,
    ( spl0_157
    | ~ spl0_138
    | ~ spl0_16
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1428,f611,f252,f776,f906]) ).

fof(f1820,plain,
    ( ~ spl0_171
    | ~ spl0_132
    | ~ spl0_4
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1771,f748,f211,f752,f1672]) ).

fof(f1824,plain,
    ( spl0_62
    | spl0_162
    | ~ spl0_8
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1246,f672,f225,f1006,f455]) ).

fof(f1827,plain,
    ( ~ spl0_115
    | spl0_68
    | ~ spl0_17
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1040,f680,f255,f482,f684]) ).

fof(f1828,plain,
    ( spl0_2
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1616,f301,f255,f205]) ).

fof(f1835,plain,
    ( spl0_166
    | spl0_93
    | ~ spl0_25
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1512,f593,f285,f597,f1125]) ).

fof(f1836,plain,
    ( spl0_87
    | spl0_161
    | ~ spl0_25
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1513,f566,f285,f982,f570]) ).

fof(f1838,plain,
    ( ~ spl0_162
    | spl0_61
    | ~ spl0_27
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1766,f672,f294,f451,f1006]) ).

fof(f1839,plain,
    ( spl0_2
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1552,f301,f294,f205]) ).

fof(f1847,plain,
    ( ~ spl0_119
    | spl0_165
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1174,f696,f228,f1113,f700]) ).

fof(f1851,plain,
    ( ~ spl0_162
    | spl0_62
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1762,f672,f228,f455,f1006]) ).

fof(f1853,plain,
    ( ~ spl0_159
    | ~ spl0_133
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1261,f760,f238,f756,f927]) ).

fof(f1857,plain,
    ( ~ spl0_164
    | spl0_98
    | ~ spl0_19
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1080,f780,f262,f620,f1048]) ).

fof(f1858,plain,
    ( ~ spl0_159
    | spl0_88
    | ~ spl0_19
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1081,f760,f262,f575,f927]) ).

fof(f1859,plain,
    ( ~ spl0_127
    | spl0_77
    | ~ spl0_19
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1082,f728,f262,f525,f732]) ).

fof(f1862,plain,
    ( spl0_159
    | spl0_88
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1623,f756,f270,f575,f927]) ).

fof(f1864,plain,
    ( ~ spl0_164
    | spl0_97
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1038,f780,f255,f616,f1048]) ).

fof(f1872,plain,
    ( ~ spl0_133
    | spl0_88
    | ~ spl0_14
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f962,f760,f245,f575,f756]) ).

fof(f1876,plain,
    ( spl0_64
    | ~ spl0_113
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1305,f460,f266,f676,f464]) ).

fof(f1880,plain,
    ( spl0_93
    | ~ spl0_166
    | ~ spl0_20
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1350,f589,f266,f1125,f597]) ).

fof(f1881,plain,
    ( spl0_62
    | ~ spl0_162
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1399,f451,f266,f1006,f455]) ).

fof(f1882,plain,
    ( ~ spl0_166
    | spl0_91
    | ~ spl0_22
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1448,f593,f274,f589,f1125]) ).

fof(f1883,plain,
    ( spl0_20
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1451,f274,f228,f266]) ).

fof(f1886,plain,
    ( ~ spl0_157
    | spl0_95
    | ~ spl0_22
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1446,f611,f274,f607,f906]) ).

fof(f1887,plain,
    ( spl0_4
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1554,f301,f238,f211]) ).

fof(f1890,plain,
    ( ~ spl0_171
    | ~ spl0_132
    | ~ spl0_29
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1669,f557,f301,f752,f1672]) ).

fof(f1915,plain,
    ( spl0_66
    | spl0_67
    | ~ spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1465,f469,f278,f477,f473]) ).

fof(f1918,plain,
    ( spl0_162
    | spl0_62
    | ~ spl0_23
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1461,f451,f278,f455,f1006]) ).

fof(f1919,plain,
    ( spl0_166
    | spl0_93
    | ~ spl0_23
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1463,f589,f278,f597,f1125]) ).

fof(f1920,plain,
    ( spl0_87
    | spl0_161
    | ~ spl0_23
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1464,f562,f278,f982,f570]) ).

fof(f1924,plain,
    ( ~ spl0_153
    | spl0_169
    | ~ spl0_24
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1483,f830,f281,f1322,f839]) ).

fof(f1933,plain,
    ( ~ c0_1(a2184)
    | ~ c1_1(a2184)
    | ~ spl0_2
    | spl0_72 ),
    inference(resolution,[],[f206,f503]) ).

fof(f1934,plain,
    ( ~ c0_1(a2181)
    | ~ c1_1(a2181)
    | ~ spl0_2
    | spl0_70 ),
    inference(resolution,[],[f206,f493]) ).

fof(f1942,plain,
    ( ~ spl0_119
    | ~ spl0_165
    | ~ spl0_2
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1934,f492,f205,f1113,f700]) ).

fof(f1943,plain,
    ( ~ spl0_122
    | ~ spl0_123
    | ~ spl0_2
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1933,f502,f205,f716,f712]) ).

fof(f1953,plain,
    ( ~ c3_1(a2193)
    | c0_1(a2193)
    | ~ spl0_5
    | spl0_82 ),
    inference(resolution,[],[f216,f549]) ).

fof(f1958,definition,
    ( spl0_176
  <=> c0_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1961,plain,
    ( spl0_176
    | ~ spl0_130
    | ~ spl0_5
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1953,f548,f215,f744,f1958]) ).

fof(f1970,plain,
    ( ~ c0_1(a2194)
    | ~ c3_1(a2194)
    | ~ spl0_6
    | spl0_84 ),
    inference(resolution,[],[f219,f558]) ).

fof(f1978,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_6
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1970,f557,f218,f752,f748]) ).

fof(f1984,plain,
    ( spl0_164
    | spl0_97
    | ~ spl0_18
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1062,f780,f259,f616,f1048]) ).

fof(f1990,plain,
    ( c1_1(a2219)
    | c0_1(a2219)
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(resolution,[],[f226,f781]) ).

fof(f1993,plain,
    ( c1_1(a2185)
    | c0_1(a2185)
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(resolution,[],[f226,f721]) ).

fof(f1996,plain,
    ( spl0_74
    | spl0_73
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1993,f720,f225,f507,f511]) ).

fof(f1997,plain,
    ( spl0_164
    | spl0_98
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1990,f780,f225,f620,f1048]) ).

fof(f1999,plain,
    ( c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_9
    | ~ spl0_152 ),
    inference(resolution,[],[f229,f836]) ).

fof(f2008,plain,
    ( ~ spl0_153
    | spl0_169
    | ~ spl0_9
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1999,f835,f228,f1322,f839]) ).

fof(f2014,plain,
    ( c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl0_11
    | ~ spl0_131 ),
    inference(resolution,[],[f236,f749]) ).

fof(f2015,plain,
    ( c1_1(a2193)
    | ~ c0_1(a2193)
    | ~ spl0_11
    | ~ spl0_130 ),
    inference(resolution,[],[f236,f745]) ).

fof(f2019,plain,
    ( ~ spl0_176
    | spl0_83
    | ~ spl0_11
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2015,f744,f235,f552,f1958]) ).

fof(f2020,plain,
    ( ~ spl0_132
    | spl0_171
    | ~ spl0_11
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2014,f748,f235,f1672,f752]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f213]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f223]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_11
    | spl0_20 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_10
    | spl0_21 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_22
    | spl0_25 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_18
    | spl0_25 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_23 ),
    inference(sat_conversion,[],[f289]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_13
    | spl0_32 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_19
    | spl0_34 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_19
    | spl0_35 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s22,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_36 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_31
    | spl0_37 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_16
    | spl0_41 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_29
    | spl0_42 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_37
    | spl0_47 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_31 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_23
    | spl0_32 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s36,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_16
    | spl0_32 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_15
    | spl0_49 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s39,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_5
    | spl0_34 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_21
    | spl0_26 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_23
    | spl0_51 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_25
    | spl0_47 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_31
    | spl0_36 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_31
    | spl0_52 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_34
    | spl0_42 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s52,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_41
    | spl0_53 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_34
    | spl0_54 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_36
    | spl0_49 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_50
    | spl0_55 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_36
    | spl0_49 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_51
    | spl0_57 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_41
    | spl0_54 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_36
    | spl0_55 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_36 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s67,plain,
    ( ~ spl0_47
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s68,plain,
    ( ~ spl0_51
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s69,plain,
    ( ~ spl0_51
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s70,plain,
    ( ~ spl0_32
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s71,plain,
    ( ~ spl0_32
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s72,plain,
    ( ~ spl0_50
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s73,plain,
    ( ~ spl0_50
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s74,plain,
    ( ~ spl0_50
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s75,plain,
    ( ~ spl0_38
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s76,plain,
    ( ~ spl0_59
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s77,plain,
    ( ~ spl0_58
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s78,plain,
    ( ~ spl0_26
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s79,plain,
    ( ~ spl0_46
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s80,plain,
    ( ~ spl0_53
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s81,plain,
    ( ~ spl0_53
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s82,plain,
    ( ~ spl0_34
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s83,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s84,plain,
    ( ~ spl0_42
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s87,plain,
    ( ~ spl0_49
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s88,plain,
    ( ~ spl0_49
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s89,plain,
    ( ~ spl0_48
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s90,plain,
    ( ~ spl0_48
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s91,plain,
    ( ~ spl0_55
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s92,plain,
    ( ~ spl0_36
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s93,plain,
    ( ~ spl0_36
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s94,plain,
    ( ~ spl0_36
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s95,plain,
    ( ~ spl0_54
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s98,plain,
    ( ~ spl0_39
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s99,plain,
    ( ~ spl0_39
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s100,plain,
    ( ~ spl0_39
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s102,plain,
    ( ~ spl0_35
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s103,plain,
    ( ~ spl0_35
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s104,plain,
    ( ~ spl0_52
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s105,plain,
    ( ~ spl0_52
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s106,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s107,plain,
    ( ~ spl0_99
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s108,plain,
    ( ~ spl0_99
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s109,plain,
    ( ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s110,plain,
    ( ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s113,plain,
    ( ~ spl0_47
    | spl0_110 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s114,plain,
    ( ~ spl0_47
    | spl0_111 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s115,plain,
    ( ~ spl0_51
    | spl0_112 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s116,plain,
    ( ~ spl0_32
    | spl0_113 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s117,plain,
    ( ~ spl0_38
    | spl0_114 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s118,plain,
    ( ~ spl0_38
    | spl0_115 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s119,plain,
    ( ~ spl0_59
    | spl0_116 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s120,plain,
    ( ~ spl0_59
    | spl0_117 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s121,plain,
    ( ~ spl0_58
    | spl0_118 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s122,plain,
    ( ~ spl0_58
    | spl0_119 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s123,plain,
    ( ~ spl0_26
    | spl0_120 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s124,plain,
    ( ~ spl0_26
    | spl0_121 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s125,plain,
    ( ~ spl0_46
    | spl0_122 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s126,plain,
    ( ~ spl0_46
    | spl0_123 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s127,plain,
    ( ~ spl0_53
    | spl0_124 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s128,plain,
    ( ~ spl0_34
    | spl0_125 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s129,plain,
    ( ~ spl0_42
    | spl0_126 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s130,plain,
    ( ~ spl0_42
    | spl0_127 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s132,plain,
    ( ~ spl0_49
    | spl0_129 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s133,plain,
    ( ~ spl0_48
    | spl0_130 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s134,plain,
    ( ~ spl0_55
    | spl0_131 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s135,plain,
    ( ~ spl0_55
    | spl0_132 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s136,plain,
    ( ~ spl0_54
    | spl0_133 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s137,plain,
    ( ~ spl0_54
    | spl0_134 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s141,plain,
    ( ~ spl0_35
    | spl0_138 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s142,plain,
    ( ~ spl0_52
    | spl0_139 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s143,plain,
    ( ~ spl0_103
    | spl0_140 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s144,plain,
    ( ~ spl0_103
    | spl0_141 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s145,plain,
    ( ~ spl0_105
    | spl0_142 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s146,plain,
    ( ~ spl0_105
    | spl0_143 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s148,plain,
    ( ~ spl0_31
    | spl0_145 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s149,plain,
    ( ~ spl0_31
    | spl0_146 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s150,plain,
    ( ~ spl0_31
    | spl0_147 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s152,plain,
    ( ~ spl0_44
    | spl0_149 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s153,plain,
    ( ~ spl0_44
    | spl0_150 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s154,plain,
    ( ~ spl0_41
    | spl0_151 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s155,plain,
    ( ~ spl0_41
    | spl0_152 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s156,plain,
    ( ~ spl0_41
    | spl0_153 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s157,plain,
    ( ~ spl0_57
    | spl0_154 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s158,plain,
    ( ~ spl0_57
    | spl0_155 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s159,plain,
    ( ~ spl0_57
    | spl0_156 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s160,plain,
    ( spl0_36
    | spl0_50
    | spl0_54 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s161,plain,
    ( spl0_32
    | spl0_53
    | spl0_103 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s162,plain,
    ( spl0_54
    | spl0_103
    | spl0_107 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s163,plain,
    ( spl0_35
    | spl0_52
    | spl0_105 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s164,plain,
    ( spl0_48
    | spl0_49
    | spl0_103 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s165,plain,
    ( spl0_34
    | spl0_47
    | spl0_49 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s166,plain,
    ( spl0_36
    | spl0_50
    | spl0_55 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s167,plain,
    ( spl0_36
    | spl0_39
    | spl0_59 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s168,plain,
    ( spl0_32
    | spl0_39
    | spl0_59 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s169,plain,
    ( spl0_38
    | spl0_46
    | spl0_99 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s187,plain,
    ( spl0_3
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s203,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_21 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s208,plain,
    ( ~ spl0_11
    | spl0_88
    | ~ spl0_133
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s210,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_21 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s212,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_24 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s213,plain,
    ( ~ spl0_15
    | spl0_85
    | spl0_86
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s214,plain,
    ( ~ spl0_15
    | spl0_95
    | spl0_96
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s216,plain,
    ( spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s226,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_40 ),
    inference(sat_conversion,[],[f1052]) ).

cnf(s228,plain,
    ( ~ spl0_18
    | spl0_61
    | spl0_62
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s230,plain,
    ( ~ spl0_10
    | ~ spl0_18
    | spl0_23 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s235,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_40 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s236,plain,
    ( ~ spl0_10
    | ~ spl0_19
    | spl0_40 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s279,plain,
    ( ~ spl0_8
    | spl0_88
    | ~ spl0_134
    | spl0_159 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s312,plain,
    ( ~ spl0_11
    | spl0_69
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1256]) ).

cnf(s320,plain,
    ( ~ spl0_11
    | ~ spl0_145
    | ~ spl0_147
    | spl0_163 ),
    inference(sat_conversion,[],[f1275]) ).

cnf(s321,plain,
    ( ~ spl0_19
    | ~ spl0_146
    | ~ spl0_147
    | spl0_163 ),
    inference(sat_conversion,[],[f1280]) ).

cnf(s322,plain,
    ( ~ spl0_12
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1281]) ).

cnf(s331,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | ~ spl0_147
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1298]) ).

cnf(s342,plain,
    ( ~ spl0_12
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s359,plain,
    ( ~ spl0_4
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s368,plain,
    ( ~ spl0_1
    | ~ spl0_16
    | spl0_40 ),
    inference(sat_conversion,[],[f1436]) ).

cnf(s383,plain,
    ( ~ spl0_25
    | spl0_100
    | spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f1523]) ).

cnf(s387,plain,
    ( ~ spl0_13
    | spl0_21
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s388,plain,
    ( ~ spl0_1
    | spl0_23
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1528]) ).

cnf(s390,plain,
    ( ~ spl0_37
    | spl0_106
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1578]) ).

cnf(s392,plain,
    ( ~ spl0_9
    | spl0_24
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1580]) ).

cnf(s393,plain,
    ( ~ spl0_27
    | ~ spl0_110
    | ~ spl0_111
    | spl0_170 ),
    inference(sat_conversion,[],[f1595]) ).

cnf(s394,plain,
    ( ~ spl0_18
    | spl0_60
    | ~ spl0_110
    | spl0_170 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s396,plain,
    ( ~ spl0_13
    | spl0_60
    | ~ spl0_110
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s397,plain,
    ( ~ spl0_9
    | spl0_60
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1601]) ).

cnf(s399,plain,
    ( ~ spl0_7
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s404,plain,
    ( ~ spl0_40
    | spl0_80
    | spl0_81
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s405,plain,
    ( ~ spl0_40
    | spl0_97
    | spl0_98
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s408,plain,
    ( ~ spl0_24
    | spl0_104
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1652]) ).

cnf(s417,plain,
    ( ~ spl0_10
    | spl0_85
    | spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s420,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_138
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s425,plain,
    ( ~ spl0_16
    | spl0_86
    | spl0_87
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s426,plain,
    ( ~ spl0_16
    | spl0_86
    | spl0_87
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1668]) ).

cnf(s430,plain,
    ( ~ spl0_14
    | ~ spl0_120
    | ~ spl0_121
    | spl0_172 ),
    inference(sat_conversion,[],[f1696]) ).

cnf(s431,plain,
    ( ~ spl0_13
    | spl0_71
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s433,plain,
    ( ~ spl0_8
    | spl0_71
    | ~ spl0_121
    | spl0_172 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s434,plain,
    ( ~ spl0_7
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s444,plain,
    ( ~ spl0_21
    | spl0_75
    | spl0_76
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s487,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s498,plain,
    ( ~ spl0_16
    | spl0_84
    | ~ spl0_132
    | spl0_171 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s499,plain,
    ( spl0_11
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s500,plain,
    ( ~ spl0_16
    | spl0_96
    | ~ spl0_138
    | spl0_157 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s511,plain,
    ( ~ spl0_4
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s517,plain,
    ( ~ spl0_8
    | spl0_62
    | ~ spl0_112
    | spl0_162 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s520,plain,
    ( ~ spl0_17
    | spl0_68
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s521,plain,
    ( spl0_2
    | ~ spl0_17
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s528,plain,
    ( ~ spl0_25
    | spl0_92
    | spl0_93
    | spl0_166 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s529,plain,
    ( ~ spl0_25
    | spl0_86
    | spl0_87
    | spl0_161 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s532,plain,
    ( ~ spl0_27
    | spl0_61
    | ~ spl0_112
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s533,plain,
    ( spl0_2
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f1839]) ).

cnf(s545,plain,
    ( ~ spl0_9
    | ~ spl0_118
    | ~ spl0_119
    | spl0_165 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s550,plain,
    ( ~ spl0_9
    | spl0_62
    | ~ spl0_112
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s552,plain,
    ( ~ spl0_12
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s558,plain,
    ( ~ spl0_19
    | spl0_98
    | ~ spl0_139
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s559,plain,
    ( ~ spl0_19
    | spl0_88
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1858]) ).

cnf(s560,plain,
    ( ~ spl0_19
    | spl0_77
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s563,plain,
    ( ~ spl0_21
    | spl0_88
    | ~ spl0_133
    | spl0_159 ),
    inference(sat_conversion,[],[f1862]) ).

cnf(s565,plain,
    ( ~ spl0_17
    | spl0_97
    | ~ spl0_139
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s573,plain,
    ( ~ spl0_14
    | spl0_88
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s577,plain,
    ( ~ spl0_20
    | spl0_63
    | spl0_64
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s581,plain,
    ( ~ spl0_20
    | spl0_91
    | spl0_93
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s582,plain,
    ( ~ spl0_20
    | spl0_61
    | spl0_62
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s583,plain,
    ( ~ spl0_22
    | spl0_91
    | spl0_92
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s584,plain,
    ( ~ spl0_9
    | spl0_20
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s587,plain,
    ( ~ spl0_22
    | spl0_95
    | spl0_96
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1886]) ).

cnf(s588,plain,
    ( spl0_4
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s592,plain,
    ( ~ spl0_29
    | spl0_84
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s622,plain,
    ( ~ spl0_23
    | spl0_65
    | spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s625,plain,
    ( ~ spl0_23
    | spl0_61
    | spl0_62
    | spl0_162 ),
    inference(sat_conversion,[],[f1918]) ).

cnf(s626,plain,
    ( ~ spl0_23
    | spl0_91
    | spl0_93
    | spl0_166 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s627,plain,
    ( ~ spl0_23
    | spl0_85
    | spl0_87
    | spl0_161 ),
    inference(sat_conversion,[],[f1920]) ).

cnf(s632,plain,
    ( ~ spl0_24
    | ~ spl0_151
    | ~ spl0_153
    | spl0_169 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s638,plain,
    ( ~ spl0_2
    | spl0_70
    | ~ spl0_119
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1942]) ).

cnf(s639,plain,
    ( ~ spl0_2
    | spl0_72
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1943]) ).

cnf(s641,plain,
    ( ~ spl0_5
    | spl0_82
    | ~ spl0_130
    | spl0_176 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s644,plain,
    ( ~ spl0_6
    | spl0_84
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s646,plain,
    ( ~ spl0_18
    | spl0_97
    | ~ spl0_139
    | spl0_164 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s647,plain,
    ( ~ spl0_8
    | spl0_73
    | spl0_74
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s648,plain,
    ( ~ spl0_8
    | spl0_98
    | ~ spl0_139
    | spl0_164 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s650,plain,
    ( ~ spl0_9
    | ~ spl0_152
    | ~ spl0_153
    | spl0_169 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s652,plain,
    ( ~ spl0_11
    | spl0_83
    | ~ spl0_130
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s653,plain,
    ( ~ spl0_11
    | ~ spl0_131
    | ~ spl0_132
    | spl0_171 ),
    inference(sat_conversion,[],[f2020]) ).

cnf(s655,plain,
    spl0_3,
    inference(rat,[],[s162,s187,s194,s196]) ).

cnf(s656,plain,
    ( ~ spl0_36
    | ~ spl0_10 ),
    inference(rat,[],[s417,s92,s93,s94]) ).

cnf(s658,plain,
    ( ~ spl0_47
    | ~ spl0_9 ),
    inference(rat,[],[s397,s67,s113,s114]) ).

cnf(s659,plain,
    ( ~ spl0_31
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s320,s331,s148,s150]) ).

cnf(s661,plain,
    ( ~ spl0_55
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s511,s653,s134,s135]) ).

cnf(s662,plain,
    ( ~ spl0_10
    | spl0_47
    | ~ spl0_7
    | spl0_21
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s430,s434,s123,s124,s41,s230,s622,s72,s73,s74,s166,s661,s499,s44,s387,s22,s66,s656,s655]) ).

cnf(s664,plain,
    ( ~ spl0_32
    | ~ spl0_20 ),
    inference(rat,[],[s577,s70,s71,s116]) ).

cnf(s665,plain,
    ( ~ spl0_42
    | ~ spl0_19 ),
    inference(rat,[],[s560,s84,s129,s130]) ).

cnf(s666,plain,
    ( ~ spl0_26
    | ~ spl0_14
    | ~ spl0_7 ),
    inference(rat,[],[s430,s434,s123,s124]) ).

cnf(s667,plain,
    ( ~ spl0_19
    | ~ spl0_18
    | spl0_47
    | spl0_5
    | spl0_2 ),
    inference(rat,[],[s646,s558,s104,s105,s142,s50,s533,s29,s665,s655]) ).

cnf(s668,plain,
    ( ~ spl0_50
    | ~ spl0_23 ),
    inference(rat,[],[s622,s72,s73,s74]) ).

cnf(s669,plain,
    ( spl0_20
    | ~ spl0_9
    | spl0_21 ),
    inference(rat,[],[s10,s584,s655]) ).

cnf(s670,plain,
    ( ~ spl0_23
    | spl0_55
    | ~ spl0_16 ),
    inference(rat,[],[s426,s627,s92,s93,s94,s166,s668]) ).

cnf(s671,plain,
    ( ~ spl0_26
    | ~ spl0_16
    | spl0_47
    | ~ spl0_7
    | spl0_2 ),
    inference(rat,[],[s529,s425,s93,s94,s22,s44,s431,s666,s78,s123,s124,s655]) ).

cnf(s672,plain,
    ( ~ spl0_9
    | ~ spl0_7
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s498,s511,s91,s134,s135,s670,s14,s667,s41,s671,s36,s664,s669,s662,s658,s1,s444,s82,s83,s128,s39,s655]) ).

cnf(s673,plain,
    ( ~ spl0_7
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s431,s78,s123,s124,s41,s394,s399,s67,s113,s114,s22,s662,s656,s9,s672,s1,s444,s82,s83,s128,s39,s655]) ).

cnf(s674,plain,
    ( spl0_36
    | spl0_47
    | spl0_7
    | spl0_21
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s44,s499,s387,s659,s22,s47,s66,s655]) ).

cnf(s675,plain,
    ( spl0_47
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s431,s78,s123,s124,s41,s667,s14,s627,s425,s18,s36,s664,s669,s9,s656,s92,s93,s94,s674,s1,s444,s82,s83,s128,s39,s673,s655]) ).

cnf(s676,plain,
    ( spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s431,s78,s123,s124,s15,s393,s322,s396,s148,s149,s150,s22,s47,s656,s9,s658,s67,s113,s114,s675,s673,s444,s82,s83,s128,s39,s655]) ).

cnf(s677,plain,
    ( ~ spl0_25
    | spl0_14
    | spl0_21
    | spl0_2 ),
    inference(rat,[],[s529,s213,s92,s93,s94,s5,s22,s387,s655]) ).

cnf(s678,plain,
    ( spl0_21
    | ~ spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s587,s500,s102,s103,s141,s21,s321,s12,s331,s66,s659,s148,s149,s150,s656,s34,s9,s658,s44,s677,s203,s210,s655]) ).

cnf(s679,plain,
    ( ~ spl0_49
    | ~ spl0_40 ),
    inference(rat,[],[s404,s87,s88,s132]) ).

cnf(s680,plain,
    ( ~ spl0_34
    | ~ spl0_21 ),
    inference(rat,[],[s444,s82,s83,s128]) ).

cnf(s681,plain,
    ( ~ spl0_54
    | ~ spl0_14 ),
    inference(rat,[],[s573,s95,s136,s137]) ).

cnf(s682,plain,
    ( ~ spl0_41
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(rat,[],[s342,s650,s154,s155,s156]) ).

cnf(s683,plain,
    ( ~ spl0_55
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s563,s552,s95,s136,s137,s62,s682,s8,s4,s664,s656,s36,s66,s498,s511,s661,s91,s134,s135,s678,s676,s1,s655]) ).

cnf(s684,plain,
    ( spl0_47
    | spl0_55
    | spl0_34 ),
    inference(rat,[],[s679,s59,s165,s655]) ).

cnf(s685,plain,
    ( ~ spl0_19
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s559,s563,s95,s136,s137,s53,s521,s51,s665,s680,s655]) ).

cnf(s687,plain,
    ( ~ spl0_39
    | ~ spl0_25
    | ~ spl0_22 ),
    inference(rat,[],[s583,s528,s98,s99,s100]) ).

cnf(s688,plain,
    ( ~ spl0_59
    | ~ spl0_11 ),
    inference(rat,[],[s312,s76,s119,s120]) ).

cnf(s689,plain,
    ( ~ spl0_133
    | spl0_88
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(rat,[],[s208,s563]) ).

cnf(s690,plain,
    ( ~ spl0_53
    | ~ spl0_8 ),
    inference(rat,[],[s647,s80,s81,s127]) ).

cnf(s691,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s342,s632,s154,s155,s156,s52,s690,s34,s35,s659,s664,s499,s11,s63,s66,s230,s656,s14,s20,s685,s668,s56,s658,s684,s683,s680,s678,s676,s1,s655]) ).

cnf(s692,plain,
    ( ~ spl0_44
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s487,s152,s153]) ).

cnf(s693,plain,
    ( spl0_11
    | spl0_9
    | spl0_10
    | spl0_1 ),
    inference(rat,[],[s36,s664,s216,s8,s4,s655]) ).

cnf(s694,plain,
    ( ~ spl0_48
    | ~ spl0_11
    | ~ spl0_5 ),
    inference(rat,[],[s641,s652,s89,s90,s133]) ).

cnf(s698,plain,
    ( ~ spl0_46
    | ~ spl0_2 ),
    inference(rat,[],[s639,s79,s125,s126]) ).

cnf(s699,plain,
    ( ~ spl0_51
    | ~ spl0_18 ),
    inference(rat,[],[s228,s68,s69,s115]) ).

cnf(s700,plain,
    ( ~ spl0_57
    | ~ spl0_4 ),
    inference(rat,[],[s359,s157,s158,s159]) ).

cnf(s701,plain,
    ( ~ spl0_35
    | ~ spl0_16
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s500,s420,s103,s141]) ).

cnf(s703,plain,
    ( ~ spl0_105
    | ~ spl0_37 ),
    inference(rat,[],[s390,s110,s145,s146]) ).

cnf(s704,plain,
    ( spl0_10
    | spl0_34
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s646,s565,s104,s142,s163,s703,s701,s61,s699,s11,s408,s109,s143,s144,s164,s694,s51,s665,s14,s668,s56,s23,s661,s659,s693,s658,s165,s679,s45,s692,s691,s700,s39,s655]) ).

cnf(s705,plain,
    ( ~ spl0_11
    | spl0_9
    | spl0_36
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s408,s109,s143,s144,s161,s664,s212,s690,s63,s47,s34,s661,s659,s655]) ).

cnf(s706,plain,
    ( spl0_11
    | ~ spl0_10
    | spl0_34 ),
    inference(rat,[],[s236,s20,s679,s499,s54,s66,s656,s655]) ).

cnf(s707,plain,
    ( spl0_34
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s658,s684,s705,s661,s706,s656,s704,s39,s655]) ).

cnf(s708,plain,
    ( ~ spl0_11
    | ~ spl0_10
    | spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s408,s109,s143,s144,s11,s161,s230,s664,s690,s670,s63,s34,s661,s659,s66,s656,s655]) ).

cnf(s709,plain,
    ( spl0_9
    | spl0_21
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s236,s21,s679,s499,s54,s708,s701,s66,s656,s9,s655]) ).

cnf(s710,plain,
    ( ~ spl0_36
    | spl0_97
    | spl0_98
    | ~ spl0_139
    | ~ spl0_16
    | spl0_21
    | spl0_44 ),
    inference(rat,[],[s431,s78,s123,s124,s13,s41,s646,s405,s529,s45,s425,s656,s93,s94,s655]) ).

cnf(s711,plain,
    ( ~ spl0_40
    | spl0_36
    | spl0_97
    | spl0_98
    | ~ spl0_139
    | spl0_47
    | spl0_21
    | ~ spl0_4 ),
    inference(rat,[],[s44,s687,s666,s167,s47,s41,s688,s659,s646,s57,s54,s405,s679,s655]) ).

cnf(s712,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s498,s511,s91,s134,s135,s59,s711,s710,s104,s105,s142,s163,s701,s36,s703,s664,s33,s669,s658,s709,s680,s707,s692,s691,s655]) ).

cnf(s713,plain,
    ( spl0_23
    | spl0_51
    | spl0_34
    | spl0_10
    | spl0_4 ),
    inference(rat,[],[s588,s53,s48,s681,s665,s43,s14,s655]) ).

cnf(s714,plain,
    ( ~ spl0_18
    | ~ spl0_11
    | spl0_9
    | spl0_60
    | ~ spl0_110
    | ~ spl0_36
    | spl0_4 ),
    inference(rat,[],[s53,s592,s681,s653,s5,s91,s134,s135,s213,s56,s627,s668,s713,s396,s699,s394,s94,s93,s92,s680,s9,s656,s655]) ).

cnf(s715,plain,
    ( ~ spl0_52
    | ~ spl0_17
    | ~ spl0_8 ),
    inference(rat,[],[s648,s565,s104,s105,s142]) ).

cnf(s716,plain,
    ( ~ spl0_99
    | ~ spl0_25 ),
    inference(rat,[],[s383,s106,s107,s108]) ).

cnf(s717,plain,
    ( spl0_42
    | spl0_12
    | spl0_18
    | spl0_34
    | ~ spl0_8
    | spl0_46 ),
    inference(rat,[],[s520,s75,s117,s118,s169,s716,s13,s431,s78,s123,s124,s15,s532,s517,s68,s69,s115,s48,s51,s655]) ).

cnf(s718,plain,
    ( spl0_19
    | spl0_18
    | spl0_9
    | spl0_10 ),
    inference(rat,[],[s644,s91,s134,s135,s56,s668,s7,s14,s655]) ).

cnf(s719,plain,
    ( ~ spl0_47
    | ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s322,s148,s149,s150,s49,s715,s717,s51,s665,s718,s714,s680,s693,s3,s9,s658,s67,s113,s698,s691,s712,s656,s655]) ).

cnf(s720,plain,
    ( spl0_9
    | ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s208,s279,s95,s136,s137,s53,s592,s653,s91,s134,s135,s684,s680,s693,s3,s9,s712,s656,s719,s655]) ).

cnf(s721,plain,
    ( ~ spl0_11
    | spl0_34
    | spl0_47 ),
    inference(rat,[],[s5,s235,s387,s20,s44,s689,s681,s95,s136,s53,s592,s653,s679,s165,s135,s134,s91,s684,s655]) ).

cnf(s722,plain,
    ( spl0_34
    | ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s563,s669,s552,s664,s95,s136,s137,s36,s53,s216,s588,s4,s721,s712,s656,s719,s720,s655]) ).

cnf(s723,plain,
    ( ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s29,s210,s588,s665,s44,s35,s14,s529,s627,s425,s36,s664,s669,s680,s722,s720,s719,s656,s92,s93,s94,s712,s655]) ).

cnf(s724,plain,
    ( spl0_12
    | spl0_42
    | spl0_46
    | spl0_34
    | ~ spl0_8 ),
    inference(rat,[],[s699,s48,s717,s655]) ).

cnf(s725,plain,
    ( spl0_42
    | ~ spl0_8
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s724,s322,s148,s149,s150,s49,s715,s51,s698,s691,s712,s655]) ).

cnf(s726,plain,
    ( spl0_19
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s644,s91,s134,s135,s63,s664,s7,s35,s230,s14,s588,s668,s53,s160,s681,s20,s712,s723,s655]) ).

cnf(s727,plain,
    ( spl0_34
    | spl0_1 ),
    inference(rat,[],[s165,s658,s679,s3,s226,s725,s51,s665,s726,s712,s66,s723,s655]) ).

cnf(s729,plain,
    ( spl0_18
    | ~ spl0_39
    | ~ spl0_8
    | spl0_21 ),
    inference(rat,[],[s10,s664,s687,s18,s13,s434,s431,s433,s78,s123,s124,s41,s655]) ).

cnf(s730,plain,
    ( ~ spl0_18
    | spl0_5
    | ~ spl0_10
    | spl0_60
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_16 ),
    inference(rat,[],[s644,s2,s91,s134,s135,s399,s670,s394,s230,s655]) ).

cnf(s731,plain,
    ( ~ spl0_47
    | spl0_1 ),
    inference(rat,[],[s664,s8,s18,s434,s688,s431,s433,s167,s78,s123,s124,s729,s41,s730,s203,s9,s3,s658,s67,s113,s114,s712,s66,s723,s680,s727,s655]) ).

cnf(s732,plain,
    ( ~ spl0_39
    | ~ spl0_10
    | ~ spl0_8
    | spl0_21 ),
    inference(rat,[],[s10,s583,s581,s626,s230,s729,s98,s99,s100,s655]) ).

cnf(s733,plain,
    ( spl0_9
    | spl0_1 ),
    inference(rat,[],[s25,s236,s679,s54,s688,s167,s732,s9,s3,s712,s723,s680,s727,s655]) ).

cnf(s734,plain,
    ( ~ spl0_39
    | spl0_10
    | spl0_1 ),
    inference(rat,[],[s29,s210,s588,s665,s44,s35,s14,s528,s626,s581,s98,s99,s100,s712,s731,s664,s669,s733,s680,s727,s655]) ).

cnf(s735,plain,
    ( spl0_10
    | spl0_1 ),
    inference(rat,[],[s216,s4,s688,s167,s734,s66,s723,s655]) ).

cnf(s736,plain,
    ( ~ spl0_58
    | spl0_1 ),
    inference(rat,[],[s638,s545,s77,s121,s122,s691,s733]) ).

cnf(s737,plain,
    ( spl0_59
    | spl0_1 ),
    inference(rat,[],[s732,s65,s167,s723,s680,s727,s735,s736,s655]) ).

cnf(s738,plain,
    spl0_1,
    inference(rat,[],[s581,s528,s98,s99,s100,s25,s236,s44,s679,s499,s54,s688,s737,s735,s669,s733,s731,s680,s727,s66,s723,s655]) ).

cnf(s739,plain,
    ( ~ spl0_19
    | ~ spl0_21
    | ~ spl0_8
    | spl0_4 ),
    inference(rat,[],[s322,s148,s149,s150,s49,s724,s715,s698,s51,s685,s665,s680,s655]) ).

cnf(s740,plain,
    ( spl0_9
    | spl0_10
    | spl0_4 ),
    inference(rat,[],[s592,s653,s4,s91,s134,s135,s588,s56,s53,s668,s681,s14,s20,s739,s680,s9,s3,s655]) ).

cnf(s741,plain,
    ( ~ spl0_21
    | spl0_10
    | spl0_4 ),
    inference(rat,[],[s563,s552,s95,s136,s137,s53,s588,s4,s721,s680,s658,s740,s655]) ).

cnf(s742,plain,
    ( ~ spl0_39
    | spl0_10
    | spl0_4 ),
    inference(rat,[],[s29,s210,s588,s665,s44,s35,s14,s528,s626,s581,s98,s99,s100,s658,s664,s669,s741,s740,s655]) ).

cnf(s743,plain,
    ( ~ spl0_36
    | spl0_4 ),
    inference(rat,[],[s38,s213,s679,s627,s25,s14,s665,s29,s210,s44,s387,s26,s682,s216,s588,s4,s688,s168,s742,s664,s669,s741,s658,s740,s656,s92,s93,s94,s655]) ).

cnf(s744,plain,
    ( ~ spl0_26
    | ~ spl0_13 ),
    inference(rat,[],[s431,s78,s123,s124]) ).

cnf(s745,plain,
    spl0_4,
    inference(rat,[],[s53,s681,s588,s20,s15,s739,s393,s3,s396,s658,s67,s113,s114,s165,s680,s41,s744,s13,s230,s626,s583,s687,s742,s98,s99,s100,s167,s688,s57,s54,s679,s368,s66,s743,s655,s738]) ).

cnf(s746,plain,
    ~ spl0_57,
    inference(rat,[],[s700,s745]) ).

cnf(s747,plain,
    ( ~ spl0_11
    | ~ spl0_21
    | spl0_10 ),
    inference(rat,[],[s408,s109,s143,s144,s164,s11,s694,s699,s38,s61,s214,s701,s102,s103,s141,s679,s163,s45,s715,s692,s51,s685,s665,s14,s668,s703,s56,s23,s34,s658,s721,s661,s659,s680,s655,s746,s745]) ).

cnf(s748,plain,
    ( ~ spl0_31
    | ~ spl0_12 ),
    inference(rat,[],[s322,s148,s149,s150]) ).

cnf(s749,plain,
    ( spl0_9
    | spl0_31
    | spl0_61
    | spl0_62
    | ~ spl0_112
    | spl0_11 ),
    inference(rat,[],[s517,s582,s34,s8,s655]) ).

cnf(s750,plain,
    ( ~ spl0_21
    | spl0_10 ),
    inference(rat,[],[s692,s685,s45,s14,s679,s625,s165,s550,s658,s749,s748,s68,s69,s115,s61,s216,s4,s747,s680,s745,s655,s746]) ).

cnf(s751,plain,
    ( ~ spl0_103
    | ~ spl0_24 ),
    inference(rat,[],[s408,s109,s143,s144]) ).

cnf(s752,plain,
    ( ~ spl0_11
    | spl0_10 ),
    inference(rat,[],[s744,s13,s41,s667,s14,s638,s528,s626,s694,s545,s581,s164,s77,s121,s122,s98,s99,s100,s679,s65,s168,s59,s688,s661,s690,s161,s751,s392,s33,s658,s664,s669,s9,s750,s655,s745]) ).

cnf(s753,plain,
    ( spl0_21
    | spl0_10 ),
    inference(rat,[],[s41,s744,s699,s26,s61,s682,s216,s4,s752,s9,s746,s655]) ).

cnf(s754,plain,
    spl0_10,
    inference(rat,[],[s753,s750]) ).

cnf(s755,plain,
    ~ spl0_36,
    inference(rat,[],[s656,s754]) ).

cnf(s756,plain,
    spl0_16,
    inference(rat,[],[s66,s655,s755]) ).

cnf(s757,plain,
    spl0_40,
    inference(rat,[],[s368,s738,s756]) ).

cnf(s758,plain,
    ~ spl0_49,
    inference(rat,[],[s679,s757]) ).

cnf(s759,plain,
    spl0_11,
    inference(rat,[],[s54,s755,s655,s758]) ).

cnf(s762,plain,
    ~ spl0_55,
    inference(rat,[],[s661,s745,s759]) ).

cnf(s764,plain,
    spl0_9,
    inference(rat,[],[s708,s745,s754,s759]) ).

cnf(s768,plain,
    ~ spl0_23,
    inference(rat,[],[s670,s756,s762]) ).

cnf(s770,plain,
    ~ spl0_47,
    inference(rat,[],[s658,s764]) ).

cnf(s775,plain,
    ~ spl0_18,
    inference(rat,[],[s230,s754,s768]) ).

cnf(s776,plain,
    ~ spl0_25,
    inference(rat,[],[s388,s738,s768]) ).

cnf(s782,plain,
    spl0_34,
    inference(rat,[],[s165,s758,s770]) ).

cnf(s783,plain,
    spl0_13,
    inference(rat,[],[s13,s776,s655,s775]) ).

cnf(s791,plain,
    ~ spl0_21,
    inference(rat,[],[s680,s782]) ).

cnf(s792,plain,
    ~ spl0_26,
    inference(rat,[],[s744,s783]) ).

cnf(s800,plain,
    $false,
    inference(rat,[],[s41,s775,s655,s791,s792]) ).

fof(f2022,plain,
    $false,
    inference(avatar_sat_refutation,[],[s800]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN486-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n010.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 16:16:02 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  Running first-order theorem proving
% 0.08/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.85/0.67  % (2047682)Input is clausal, will run a generic CNF schedule.
% 1.85/0.67  % (2047693)dis-21_1_sil=8000:lcm=predicate:random_seed=370472747:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.85/0.67  % (2047693)First to succeed.
% 1.85/0.67  % (2047693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2047682"
% 1.85/0.67  % (2047690)lrs+10_1_sil=8000:sp=occurrence:random_seed=3798415444:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.85/0.67  % (2047687)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=3437960296:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.85/0.67  % (2047688)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2298726806:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.85/0.67  % (2047692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=84037529:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.85/0.67  % (2047691)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3740551099:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.85/0.67  % (2047689)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=895337208:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.85/0.67  % (2047691)Also succeeded, but the first one will report.
% 1.85/0.67  % (2047690)Instruction limit reached! 
% 1.85/0.67  % (2047690)------------------------------
% 1.85/0.67  % (2047690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.85/0.67  % (2047690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.67  % (2047690)CaDiCaL version: 2.1.3
% 1.85/0.67  % (2047690)Termination reason: Instruction limit
% 1.85/0.67  % (2047690)Termination phase: Saturation
% 1.85/0.67  % (2047690)Time elapsed: 0.073 s
% 1.85/0.67  % (2047690)Peak memory usage: 90 MB
% 1.85/0.67  % (2047690)Instructions burned: 108 (million)
% 1.85/0.67  % (2047692)Also succeeded, but the first one will report.
% 1.85/0.67  % (2047693)Refutation found. Thanks to Tanya!
% 1.85/0.67  % SZS status Unsatisfiable for theBenchmark
% 1.85/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.86  % (2047693)------------------------------
% 2.26/0.86  % (2047693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/0.86  % (2047693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.86  % (2047693)CaDiCaL version: 2.1.3
% 2.26/0.86  % (2047693)Termination reason: Refutation
% 2.26/0.86  % (2047693)Time elapsed: 0.017 s
% 2.26/0.86  % (2047693)Peak memory usage: 90 MB
% 2.26/0.86  % (2047693)Instructions burned: 50 (million)
% 2.26/0.86  % (2047693)------------------------------
% 2.26/0.86  % (2047693)------------------------------
% 2.26/0.86  % (2047682)Success in time 0.27 s
% 2.26/0.86  % Vampire exiting
%------------------------------------------------------------------------------