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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN447-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:37 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.33s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  318
% Syntax   : Number of formulae    : 1118 (  34 unt; 181 def)
%            Number of atoms       : 3283 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 3805 (1640   ~;1984   |;   0   &)
%                                         ( 181 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  223 ( 222 usr; 219 prp; 0-1 aty)
%            Number of functors    :   36 (  36 usr;  36 con; 0-0 aty)
%            Number of variables   :  166 (   0 sgn 166   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp63
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp62
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f8,negated_conjecture,
    ( ~ hskp56
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f65,negated_conjecture,
    ( hskp0
    | hskp29
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f67,negated_conjecture,
    ( hskp39
    | hskp17
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( hskp43
    | hskp27
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( hskp62
    | hskp56
    | hskp63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp63
    | c1_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp63
    | c3_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp62
    | c2_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp62
    | c3_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f81,negated_conjecture,
    ( ~ hskp57
    | c2_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp57
    | c0_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp57
    | c3_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp56
    | c0_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f90,negated_conjecture,
    ( ~ hskp53
    | c1_1(a1073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp53
    | c2_1(a1073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp53
    | c0_1(a1073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f96,negated_conjecture,
    ( ~ hskp51
    | c2_1(a1070) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f100,negated_conjecture,
    ( ~ hskp49
    | c1_1(a1065) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f104,negated_conjecture,
    ( ~ hskp47
    | c2_1(a1056) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp47
    | c1_1(a1056) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp47
    | c3_1(a1056) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f108,negated_conjecture,
    ( ~ hskp45
    | c0_1(a1052) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp45
    | c3_1(a1052) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp45
    | c2_1(a1052) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp44
    | c1_1(a1051) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp44
    | c0_1(a1051) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp43
    | c0_1(a1049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp43
    | c2_1(a1049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp43
    | c1_1(a1049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp42
    | c1_1(a1046) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp42
    | c0_1(a1046) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f121,negated_conjecture,
    ( ~ hskp39
    | c0_1(a1042) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp39
    | c2_1(a1042) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp38
    | c1_1(a1040) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp38
    | c3_1(a1040) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp38
    | c2_1(a1040) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp37
    | c0_1(a1037) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp37
    | c3_1(a1037) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp36
    | c3_1(a1034) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp36
    | c1_1(a1034) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp35
    | c0_1(a1033) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp35
    | c1_1(a1033) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp35
    | c3_1(a1033) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f134,negated_conjecture,
    ( ~ hskp33
    | c3_1(a1031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ hskp33
    | c2_1(a1031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f138,negated_conjecture,
    ( ~ hskp31
    | c0_1(a1028) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ hskp31
    | c3_1(a1028) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ( ~ hskp30
    | c3_1(a1022) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1022) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1021) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f147,negated_conjecture,
    ( ~ hskp24
    | c0_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ( ~ hskp23
    | c1_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ( ~ hskp23
    | c3_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ( ~ hskp22
    | c2_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ( ~ hskp22
    | c3_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1079) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1078) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1078) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f158,negated_conjecture,
    ( ~ hskp15
    | c3_1(a1059) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1059) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ( ~ hskp13
    | c0_1(a1048) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1048) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f166,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1036) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1035) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ( ~ hskp7
    | c1_1(a1035) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f175,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1020) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ( ~ c2_1(a1105)
    | ~ hskp63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f183,negated_conjecture,
    ( ~ c3_1(a1084)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ( ~ c1_1(a1084)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ( ~ c1_1(a1070)
    | ~ hskp51 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f188,negated_conjecture,
    ( ~ c0_1(a1065)
    | ~ hskp49 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ( ~ c2_1(a1065)
    | ~ hskp49 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f192,negated_conjecture,
    ( ~ c2_1(a1051)
    | ~ hskp44 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ( ~ c2_1(a1046)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f197,negated_conjecture,
    ( ~ c1_1(a1042)
    | ~ hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f199,negated_conjecture,
    ( ~ c0_1(a1034)
    | ~ hskp36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f202,negated_conjecture,
    ( ~ c1_1(a1031)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f204,negated_conjecture,
    ( ~ c1_1(a1028)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f205,negated_conjecture,
    ( ~ c2_1(a1022)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ( ~ c1_1(a1021)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

fof(f207,negated_conjecture,
    ( ~ c3_1(a1021)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

fof(f208,negated_conjecture,
    ( ~ c0_1(a1102)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).

fof(f209,negated_conjecture,
    ( ~ c1_1(a1102)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause209) ).

fof(f210,negated_conjecture,
    ( ~ c0_1(a1101)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause210) ).

fof(f213,negated_conjecture,
    ( ~ c3_1(a1091)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause213) ).

fof(f214,negated_conjecture,
    ( ~ c0_1(a1091)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause214) ).

fof(f215,negated_conjecture,
    ( ~ c2_1(a1091)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause215) ).

fof(f216,negated_conjecture,
    ( ~ c2_1(a1089)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause216) ).

fof(f217,negated_conjecture,
    ( ~ c1_1(a1089)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause217) ).

fof(f218,negated_conjecture,
    ( ~ c2_1(a1088)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause218) ).

fof(f219,negated_conjecture,
    ( ~ c1_1(a1083)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause219) ).

fof(f223,negated_conjecture,
    ( ~ c0_1(a1080)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause223) ).

fof(f224,negated_conjecture,
    ( ~ c2_1(a1080)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause224) ).

fof(f225,negated_conjecture,
    ( ~ c1_1(a1080)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).

fof(f226,negated_conjecture,
    ( ~ c0_1(a1079)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).

fof(f227,negated_conjecture,
    ( ~ c2_1(a1079)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).

fof(f228,negated_conjecture,
    ( ~ c1_1(a1078)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause228) ).

fof(f229,negated_conjecture,
    ( ~ c0_1(a1077)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).

fof(f230,negated_conjecture,
    ( ~ c2_1(a1077)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).

fof(f232,negated_conjecture,
    ( ~ c1_1(a1059)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause232) ).

fof(f236,negated_conjecture,
    ( ~ c2_1(a1048)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause236) ).

fof(f245,negated_conjecture,
    ( ~ c3_1(a1036)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).

fof(f246,negated_conjecture,
    ( ~ c1_1(a1036)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).

fof(f247,negated_conjecture,
    ( ~ c2_1(a1035)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause247) ).

fof(f260,negated_conjecture,
    ( ~ c1_1(a1020)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause260) ).

fof(f261,negated_conjecture,
    ( ~ c2_1(a1020)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause261) ).

fof(f263,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | hskp44
      | hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause263) ).

fof(f266,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X0)
      | hskp15
      | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).

fof(f269,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause269) ).

fof(f274,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp8
      | hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause274) ).

fof(f276,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp13
      | hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).

fof(f281,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp22
      | hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).

fof(f284,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp33
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

fof(f290,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | hskp49 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).

fof(f291,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).

fof(f294,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).

fof(f295,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

fof(f298,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).

fof(f300,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause300) ).

fof(f301,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | hskp38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause301) ).

fof(f303,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp47 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).

fof(f304,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | hskp57 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause304) ).

fof(f305,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).

fof(f306,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | hskp51 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).

fof(f308,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause308) ).

fof(f309,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | c1_1(X0)
      | hskp53 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause309) ).

fof(f310,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | hskp36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause310) ).

fof(f311,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).

fof(f312,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X2)
      | c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause312) ).

fof(f313,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause313) ).

fof(f314,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).

fof(f315,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause315) ).

fof(f317,plain,
    ( ~ hskp63
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f318,plain,
    ( ~ hskp62
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f324,plain,
    ( hskp56
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f381,plain,
    ( hskp0
    | ~ hskp29
    | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f382,plain,
    ( hskp39
    | hskp17
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f383,plain,
    ( hskp62
    | ~ hskp56
    | hskp63 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f384,plain,
    ( ~ hskp63
    | ~ c1_1(a1105) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f385,plain,
    ( ~ hskp63
    | ~ c3_1(a1105) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f386,plain,
    ( ~ hskp62
    | ~ c3_1(a1103) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f392,plain,
    ( hskp57
    | c2_1(a1085) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f393,plain,
    ( hskp57
    | c0_1(a1085) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f394,plain,
    ( hskp57
    | ~ c3_1(a1085) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f395,plain,
    ( hskp56
    | c0_1(a1084) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f399,plain,
    ( ~ hskp53
    | ~ c1_1(a1073) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f404,plain,
    ( ~ hskp49
    | ~ c1_1(a1065) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f408,plain,
    ( hskp47
    | c2_1(a1056) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f409,plain,
    ( hskp47
    | ~ c1_1(a1056) ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f410,plain,
    ( hskp47
    | ~ c3_1(a1056) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f411,plain,
    ( ~ hskp45
    | ~ c3_1(a1052) ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f412,plain,
    ( hskp44
    | ~ c1_1(a1051) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f413,plain,
    ( hskp44
    | c0_1(a1051) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f414,plain,
    ( ~ hskp43
    | ~ c1_1(a1049) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f415,plain,
    ( hskp42
    | ~ c1_1(a1046) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f416,plain,
    ( hskp42
    | c0_1(a1046) ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f419,plain,
    ( ~ hskp38
    | ~ c1_1(a1040) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f420,plain,
    ( ~ hskp38
    | ~ c3_1(a1040) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f421,plain,
    ( ~ hskp37
    | ~ c3_1(a1037) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f422,plain,
    ( hskp36
    | ~ c3_1(a1034) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f423,plain,
    ( hskp36
    | ~ c1_1(a1034) ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f424,plain,
    ( hskp35
    | c0_1(a1033) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f425,plain,
    ( hskp35
    | ~ c1_1(a1033) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f426,plain,
    ( hskp35
    | ~ c3_1(a1033) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f428,plain,
    ( ~ hskp33
    | ~ c3_1(a1031) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f430,plain,
    ( ~ hskp31
    | ~ c3_1(a1028) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f431,plain,
    ( hskp30
    | ~ c3_1(a1022) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f432,plain,
    ( hskp30
    | ~ c1_1(a1022) ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f433,plain,
    ( hskp29
    | c2_1(a1021) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f434,plain,
    ( ~ hskp27
    | ~ c3_1(a1101) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f437,plain,
    ( hskp23
    | ~ c1_1(a1088) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f438,plain,
    ( hskp23
    | ~ c3_1(a1088) ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f439,plain,
    ( hskp22
    | c2_1(a1083) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f440,plain,
    ( hskp22
    | ~ c3_1(a1083) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f441,plain,
    ( ~ hskp19
    | ~ c1_1(a1079) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f442,plain,
    ( hskp18
    | c2_1(a1078) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f443,plain,
    ( hskp18
    | c0_1(a1078) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f444,plain,
    ( ~ hskp17
    | ~ c3_1(a1077) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f445,plain,
    ( hskp15
    | ~ c3_1(a1059) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f446,plain,
    ( hskp15
    | c2_1(a1059) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f447,plain,
    ( ~ hskp13
    | ~ c3_1(a1048) ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f451,plain,
    ( hskp7
    | c0_1(a1035) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f452,plain,
    ( hskp7
    | ~ c1_1(a1035) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f459,plain,
    ( c3_1(a1084)
    | hskp56 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f460,plain,
    ( c1_1(a1084)
    | hskp56 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f462,plain,
    ( c1_1(a1070)
    | ~ hskp51 ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f465,plain,
    ( ~ c2_1(a1051)
    | hskp44 ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f466,plain,
    ( ~ c2_1(a1046)
    | hskp42 ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f469,plain,
    ( c1_1(a1042)
    | ~ hskp39 ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f471,plain,
    ( ~ c0_1(a1034)
    | hskp36 ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f473,plain,
    ( c1_1(a1031)
    | ~ hskp33 ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f474,plain,
    ( c1_1(a1028)
    | ~ hskp31 ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f475,plain,
    ( ~ c2_1(a1022)
    | hskp30 ),
    inference(consistent_polarity_flipping,[],[f205]) ).

fof(f476,plain,
    ( c1_1(a1021)
    | hskp29 ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f477,plain,
    ( c3_1(a1021)
    | hskp29 ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f478,plain,
    ( c1_1(a1102)
    | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f480,plain,
    ( c3_1(a1091)
    | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f481,plain,
    ( c1_1(a1089)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f217]) ).

fof(f482,plain,
    ( ~ c2_1(a1088)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f483,plain,
    ( c1_1(a1083)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f219]) ).

fof(f485,plain,
    ( c1_1(a1080)
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f225]) ).

fof(f486,plain,
    ( c1_1(a1078)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f488,plain,
    ( c1_1(a1059)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f232]) ).

fof(f494,plain,
    ( c3_1(a1036)
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f245]) ).

fof(f495,plain,
    ( c1_1(a1036)
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f496,plain,
    ( ~ c2_1(a1035)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f247]) ).

fof(f504,plain,
    ( c1_1(a1020)
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f260]) ).

fof(f506,plain,
    ! [X0] :
      ( ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ hskp44
      | hskp45 ),
    inference(consistent_polarity_flipping,[],[f263]) ).

fof(f509,plain,
    ! [X0] :
      ( c3_1(X0)
      | ndr1_0
      | c2_1(X0)
      | c0_1(X0)
      | ~ hskp15
      | hskp33 ),
    inference(consistent_polarity_flipping,[],[f266]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp19
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f269]) ).

fof(f517,plain,
    ! [X0] :
      ( c3_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp8
      | hskp37 ),
    inference(consistent_polarity_flipping,[],[f274]) ).

fof(f519,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | hskp13
      | hskp43 ),
    inference(consistent_polarity_flipping,[],[f276]) ).

fof(f524,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X0)
      | ~ hskp22
      | ~ hskp56 ),
    inference(consistent_polarity_flipping,[],[f281]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | hskp33
      | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f284]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | hskp49 ),
    inference(consistent_polarity_flipping,[],[f290]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f291]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X1)
      | hskp31 ),
    inference(consistent_polarity_flipping,[],[f294]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ hskp42 ),
    inference(consistent_polarity_flipping,[],[f295]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ hskp35 ),
    inference(consistent_polarity_flipping,[],[f298]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | hskp33 ),
    inference(consistent_polarity_flipping,[],[f300]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | hskp38 ),
    inference(consistent_polarity_flipping,[],[f301]) ).

fof(f546,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ hskp47 ),
    inference(consistent_polarity_flipping,[],[f303]) ).

fof(f547,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | ~ hskp57 ),
    inference(consistent_polarity_flipping,[],[f304]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f549,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | hskp51 ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f308]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | hskp53 ),
    inference(consistent_polarity_flipping,[],[f309]) ).

fof(f553,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | ~ hskp36 ),
    inference(consistent_polarity_flipping,[],[f310]) ).

fof(f554,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ndr1_0
      | ~ c2_1(X0) ),
    inference(consistent_polarity_flipping,[],[f311]) ).

fof(f555,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f312]) ).

fof(f556,plain,
    ! [X2,X0,X1] :
      ( ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1) ),
    inference(consistent_polarity_flipping,[],[f313]) ).

fof(f557,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | c0_1(X1)
      | c2_1(X1) ),
    inference(consistent_polarity_flipping,[],[f314]) ).

fof(f558,plain,
    ! [X2,X0,X1] :
      ( ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1) ),
    inference(consistent_polarity_flipping,[],[f315]) ).

fof(f561,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f562,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f564,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f565,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f575,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f576,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f578,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f579,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f583,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f558,f567,f581,f578,f575]) ).

fof(f585,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f586,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f588,definition,
    ( spl0_9
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f589,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,definition,
    ( spl0_10
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f592,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( spl0_8
    | spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f557,f591,f567,f588,f585]) ).

fof(f595,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f598,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( spl0_11
    | spl0_12
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f556,f567,f564,f598,f595]) ).

fof(f601,plain,
    ( spl0_8
    | spl0_12
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f555,f581,f567,f598,f585]) ).

fof(f603,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f604,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f606,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( spl0_3
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f554,f606,f603,f567]) ).

fof(f610,definition,
    ( spl0_15
  <=> hskp36 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f614,definition,
    ( spl0_16
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f615,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f616,plain,
    ( ~ spl0_15
    | spl0_1
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f553,f614,f567,f561,f610]) ).

fof(f618,definition,
    ( spl0_17
  <=> hskp53 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f622,definition,
    ( spl0_18
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f623,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( spl0_17
    | spl0_13
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f552,f622,f567,f603,f618]) ).

fof(f626,definition,
    ( spl0_19
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_19
    | spl0_6
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f551,f603,f567,f578,f626]) ).

fof(f635,definition,
    ( spl0_21
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f636,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f639,definition,
    ( spl0_22
  <=> hskp51 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f643,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f644,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f645,plain,
    ( spl0_22
    | spl0_13
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f549,f643,f567,f603,f639]) ).

fof(f647,definition,
    ( spl0_24
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f650,plain,
    ( spl0_24
    | spl0_9
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f548,f561,f567,f588,f647]) ).

fof(f652,definition,
    ( spl0_25
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ spl0_25
    | spl0_21
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f547,f622,f567,f635,f652]) ).

fof(f657,definition,
    ( spl0_26
  <=> hskp47 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f661,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f662,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f664,definition,
    ( spl0_28
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f665,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f666,plain,
    ( ~ spl0_26
    | spl0_27
    | spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f546,f664,f567,f661,f657]) ).

fof(f672,definition,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f676,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f679,definition,
    ( spl0_32
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_32
    | spl0_21
    | spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f544,f675,f567,f635,f679]) ).

fof(f684,definition,
    ( spl0_33
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f687,plain,
    ( spl0_33
    | spl0_9
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f543,f561,f567,f588,f684]) ).

fof(f694,definition,
    ( spl0_35
  <=> hskp35 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ spl0_35
    | spl0_6
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f541,f591,f567,f578,f694]) ).

fof(f703,definition,
    ( spl0_37
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f704,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,definition,
    ( spl0_38
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f707,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f718,definition,
    ( spl0_41
  <=> hskp42 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ spl0_41
    | spl0_12
    | spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f538,f703,f567,f598,f718]) ).

fof(f723,definition,
    ( spl0_42
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f726,plain,
    ( spl0_42
    | spl0_30
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f537,f581,f567,f672,f723]) ).

fof(f744,definition,
    ( spl0_47
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f747,plain,
    ( spl0_47
    | spl0_8
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f534,f567,f614,f585,f744]) ).

fof(f749,definition,
    ( spl0_48
  <=> hskp49 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f752,plain,
    ( spl0_48
    | spl0_8
    | spl0_21
    | spl0_3 ),
    inference(avatar_split_clause,[],[f533,f567,f635,f585,f749]) ).

fof(f774,definition,
    ( spl0_53
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ spl0_53
    | spl0_33
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f527,f603,f567,f684,f774]) ).

fof(f784,definition,
    ( spl0_55
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f793,definition,
    ( spl0_57
  <=> hskp56 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f797,definition,
    ( spl0_58
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f800,plain,
    ( ~ spl0_57
    | ~ spl0_58
    | spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f524,f703,f567,f797,f793]) ).

fof(f819,definition,
    ( spl0_63
  <=> hskp43 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f828,definition,
    ( spl0_65
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f831,plain,
    ( spl0_63
    | spl0_65
    | spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f519,f664,f567,f828,f819]) ).

fof(f842,definition,
    ( spl0_68
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f846,definition,
    ( spl0_69
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f849,plain,
    ( spl0_68
    | spl0_69
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f517,f614,f567,f846,f842]) ).

fof(f883,definition,
    ( spl0_77
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f887,definition,
    ( spl0_78
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f890,plain,
    ( spl0_77
    | spl0_78
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f512,f564,f567,f887,f883]) ).

fof(f905,definition,
    ( spl0_82
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f908,plain,
    ( spl0_33
    | ~ spl0_82
    | spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f509,f706,f567,f905,f684]) ).

fof(f916,definition,
    ( spl0_84
  <=> hskp45 ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f920,definition,
    ( spl0_85
  <=> hskp44 ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f923,plain,
    ( spl0_84
    | ~ spl0_85
    | spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f506,f567,f595,f920,f916]) ).

fof(f926,definition,
    ( spl0_86
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f930,definition,
    ( spl0_87
  <=> c2_1(a1020) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f933,plain,
    ( ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f261,f930,f926]) ).

fof(f935,definition,
    ( spl0_88
  <=> c1_1(a1020) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f938,plain,
    ( ~ spl0_86
    | spl0_88 ),
    inference(avatar_split_clause,[],[f504,f935,f926]) ).

fof(f1000,definition,
    ( spl0_101
  <=> c2_1(a1035) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f1002,plain,
    ( ~ c2_1(a1035)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1003,plain,
    ( spl0_19
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f496,f1000,f626]) ).

fof(f1005,definition,
    ( spl0_102
  <=> c1_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f1008,plain,
    ( ~ spl0_69
    | spl0_102 ),
    inference(avatar_split_clause,[],[f495,f1005,f846]) ).

fof(f1010,definition,
    ( spl0_103
  <=> c3_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f1012,plain,
    ( c3_1(a1036)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1013,plain,
    ( ~ spl0_69
    | spl0_103 ),
    inference(avatar_split_clause,[],[f494,f1010,f846]) ).

fof(f1055,definition,
    ( spl0_112
  <=> c2_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f1058,plain,
    ( ~ spl0_65
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f236,f1055,f828]) ).

fof(f1075,definition,
    ( spl0_116
  <=> c1_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1078,plain,
    ( spl0_82
    | spl0_116 ),
    inference(avatar_split_clause,[],[f488,f1075,f905]) ).

fof(f1085,definition,
    ( spl0_118
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1089,definition,
    ( spl0_119
  <=> c2_1(a1077) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1092,plain,
    ( ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f230,f1089,f1085]) ).

fof(f1094,definition,
    ( spl0_120
  <=> c0_1(a1077) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1096,plain,
    ( ~ c0_1(a1077)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1097,plain,
    ( ~ spl0_118
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f229,f1094,f1085]) ).

fof(f1099,definition,
    ( spl0_121
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1103,definition,
    ( spl0_122
  <=> c1_1(a1078) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1106,plain,
    ( spl0_121
    | spl0_122 ),
    inference(avatar_split_clause,[],[f486,f1103,f1099]) ).

fof(f1108,definition,
    ( spl0_123
  <=> c2_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1110,plain,
    ( ~ c2_1(a1079)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1111,plain,
    ( ~ spl0_78
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f227,f1108,f887]) ).

fof(f1113,definition,
    ( spl0_124
  <=> c0_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1115,plain,
    ( ~ c0_1(a1079)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1116,plain,
    ( ~ spl0_78
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f226,f1113,f887]) ).

fof(f1118,definition,
    ( spl0_125
  <=> c1_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1121,plain,
    ( ~ spl0_77
    | spl0_125 ),
    inference(avatar_split_clause,[],[f485,f1118,f883]) ).

fof(f1123,definition,
    ( spl0_126
  <=> c2_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1126,plain,
    ( ~ spl0_77
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f224,f1123,f883]) ).

fof(f1128,definition,
    ( spl0_127
  <=> c0_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ c0_1(a1080)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1131,plain,
    ( ~ spl0_77
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f223,f1128,f883]) ).

fof(f1148,definition,
    ( spl0_131
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1151,plain,
    ( spl0_58
    | spl0_131 ),
    inference(avatar_split_clause,[],[f483,f1148,f797]) ).

fof(f1153,definition,
    ( spl0_132
  <=> c2_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1155,plain,
    ( ~ c2_1(a1088)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f1156,plain,
    ( spl0_53
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f482,f1153,f774]) ).

fof(f1158,definition,
    ( spl0_133
  <=> c1_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1161,plain,
    ( ~ spl0_47
    | spl0_133 ),
    inference(avatar_split_clause,[],[f481,f1158,f744]) ).

fof(f1163,definition,
    ( spl0_134
  <=> c2_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1165,plain,
    ( ~ c2_1(a1089)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1166,plain,
    ( ~ spl0_47
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f216,f1163,f744]) ).

fof(f1168,definition,
    ( spl0_135
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1170,plain,
    ( ~ c2_1(a1091)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1168]) ).

fof(f1171,plain,
    ( ~ spl0_24
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f215,f1168,f647]) ).

fof(f1173,definition,
    ( spl0_136
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1175,plain,
    ( ~ c0_1(a1091)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f1176,plain,
    ( ~ spl0_24
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f214,f1173,f647]) ).

fof(f1178,definition,
    ( spl0_137
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1181,plain,
    ( ~ spl0_24
    | spl0_137 ),
    inference(avatar_split_clause,[],[f480,f1178,f647]) ).

fof(f1193,definition,
    ( spl0_140
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1197,definition,
    ( spl0_141
  <=> c0_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1199,plain,
    ( ~ c0_1(a1101)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1200,plain,
    ( ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f210,f1197,f1193]) ).

fof(f1202,definition,
    ( spl0_142
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1206,definition,
    ( spl0_143
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1209,plain,
    ( ~ spl0_142
    | spl0_143 ),
    inference(avatar_split_clause,[],[f478,f1206,f1202]) ).

fof(f1211,definition,
    ( spl0_144
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1213,plain,
    ( ~ c0_1(a1102)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1214,plain,
    ( ~ spl0_142
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f208,f1211,f1202]) ).

fof(f1216,definition,
    ( spl0_145
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1220,definition,
    ( spl0_146
  <=> c3_1(a1021) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1223,plain,
    ( spl0_145
    | spl0_146 ),
    inference(avatar_split_clause,[],[f477,f1220,f1216]) ).

fof(f1225,definition,
    ( spl0_147
  <=> c1_1(a1021) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1228,plain,
    ( spl0_145
    | spl0_147 ),
    inference(avatar_split_clause,[],[f476,f1225,f1216]) ).

fof(f1230,definition,
    ( spl0_148
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1234,definition,
    ( spl0_149
  <=> c2_1(a1022) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1236,plain,
    ( ~ c2_1(a1022)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1237,plain,
    ( spl0_148
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f475,f1234,f1230]) ).

fof(f1239,definition,
    ( spl0_150
  <=> c1_1(a1028) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1242,plain,
    ( ~ spl0_42
    | spl0_150 ),
    inference(avatar_split_clause,[],[f474,f1239,f723]) ).

fof(f1249,definition,
    ( spl0_152
  <=> c1_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1252,plain,
    ( ~ spl0_33
    | spl0_152 ),
    inference(avatar_split_clause,[],[f473,f1249,f684]) ).

fof(f1264,definition,
    ( spl0_155
  <=> c0_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1266,plain,
    ( ~ c0_1(a1034)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1267,plain,
    ( spl0_15
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f471,f1264,f610]) ).

fof(f1274,definition,
    ( spl0_157
  <=> c1_1(a1042) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1277,plain,
    ( ~ spl0_55
    | spl0_157 ),
    inference(avatar_split_clause,[],[f469,f1274,f784]) ).

fof(f1294,definition,
    ( spl0_161
  <=> c2_1(a1046) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1296,plain,
    ( ~ c2_1(a1046)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1294]) ).

fof(f1297,plain,
    ( spl0_41
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f466,f1294,f718]) ).

fof(f1299,definition,
    ( spl0_162
  <=> c2_1(a1051) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1301,plain,
    ( ~ c2_1(a1051)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1299]) ).

fof(f1302,plain,
    ( spl0_85
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f465,f1299,f920]) ).

fof(f1318,definition,
    ( spl0_166
  <=> c2_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1320,plain,
    ( ~ c2_1(a1065)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1321,plain,
    ( ~ spl0_48
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f189,f1318,f749]) ).

fof(f1323,definition,
    ( spl0_167
  <=> c0_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1325,plain,
    ( ~ c0_1(a1065)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f1326,plain,
    ( ~ spl0_48
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f188,f1323,f749]) ).

fof(f1333,definition,
    ( spl0_169
  <=> c1_1(a1070) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1336,plain,
    ( ~ spl0_22
    | spl0_169 ),
    inference(avatar_split_clause,[],[f462,f1333,f639]) ).

fof(f1343,definition,
    ( spl0_171
  <=> c1_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1346,plain,
    ( spl0_57
    | spl0_171 ),
    inference(avatar_split_clause,[],[f460,f1343,f793]) ).

fof(f1348,definition,
    ( spl0_172
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1350,plain,
    ( c3_1(a1084)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1348]) ).

fof(f1351,plain,
    ( spl0_57
    | spl0_172 ),
    inference(avatar_split_clause,[],[f459,f1348,f793]) ).

fof(f1383,definition,
    ( spl0_179
  <=> hskp63 ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1387,definition,
    ( spl0_180
  <=> c2_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1389,plain,
    ( ~ c2_1(a1105)
    | spl0_180 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1390,plain,
    ( ~ spl0_179
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f176,f1387,f1383]) ).

fof(f1392,definition,
    ( spl0_181
  <=> c0_1(a1020) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1394,plain,
    ( c0_1(a1020)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f1395,plain,
    ( spl0_181
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f175,f926,f1392]) ).

fof(f1427,definition,
    ( spl0_188
  <=> c1_1(a1035) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

fof(f1430,plain,
    ( ~ spl0_188
    | spl0_19 ),
    inference(avatar_split_clause,[],[f452,f626,f1427]) ).

fof(f1432,definition,
    ( spl0_189
  <=> c0_1(a1035) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1434,plain,
    ( c0_1(a1035)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1432]) ).

fof(f1435,plain,
    ( spl0_189
    | spl0_19 ),
    inference(avatar_split_clause,[],[f451,f626,f1432]) ).

fof(f1437,definition,
    ( spl0_190
  <=> c0_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1439,plain,
    ( c0_1(a1036)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f1440,plain,
    ( spl0_190
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f166,f846,f1437]) ).

fof(f1462,definition,
    ( spl0_195
  <=> c3_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).

fof(f1465,plain,
    ( ~ spl0_195
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f447,f828,f1462]) ).

fof(f1467,definition,
    ( spl0_196
  <=> c0_1(a1048) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

fof(f1469,plain,
    ( c0_1(a1048)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f1467]) ).

fof(f1470,plain,
    ( spl0_196
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f160,f828,f1467]) ).

fof(f1472,definition,
    ( spl0_197
  <=> c2_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

fof(f1474,plain,
    ( c2_1(a1059)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f1472]) ).

fof(f1475,plain,
    ( spl0_197
    | spl0_82 ),
    inference(avatar_split_clause,[],[f446,f905,f1472]) ).

fof(f1477,definition,
    ( spl0_198
  <=> c3_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1480,plain,
    ( ~ spl0_198
    | spl0_82 ),
    inference(avatar_split_clause,[],[f445,f905,f1477]) ).

fof(f1492,definition,
    ( spl0_201
  <=> c3_1(a1077) ),
    introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).

fof(f1495,plain,
    ( ~ spl0_201
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f444,f1085,f1492]) ).

fof(f1497,definition,
    ( spl0_202
  <=> c0_1(a1078) ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

fof(f1499,plain,
    ( c0_1(a1078)
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1497]) ).

fof(f1500,plain,
    ( spl0_202
    | spl0_121 ),
    inference(avatar_split_clause,[],[f443,f1099,f1497]) ).

fof(f1502,definition,
    ( spl0_203
  <=> c2_1(a1078) ),
    introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).

fof(f1504,plain,
    ( c2_1(a1078)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f1502]) ).

fof(f1505,plain,
    ( spl0_203
    | spl0_121 ),
    inference(avatar_split_clause,[],[f442,f1099,f1502]) ).

fof(f1507,definition,
    ( spl0_204
  <=> c1_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).

fof(f1510,plain,
    ( ~ spl0_204
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f441,f887,f1507]) ).

fof(f1512,definition,
    ( spl0_205
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

fof(f1515,plain,
    ( ~ spl0_205
    | spl0_58 ),
    inference(avatar_split_clause,[],[f440,f797,f1512]) ).

fof(f1517,definition,
    ( spl0_206
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1519,plain,
    ( c2_1(a1083)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f1517]) ).

fof(f1520,plain,
    ( spl0_206
    | spl0_58 ),
    inference(avatar_split_clause,[],[f439,f797,f1517]) ).

fof(f1522,definition,
    ( spl0_207
  <=> c3_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1525,plain,
    ( ~ spl0_207
    | spl0_53 ),
    inference(avatar_split_clause,[],[f438,f774,f1522]) ).

fof(f1527,definition,
    ( spl0_208
  <=> c1_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1530,plain,
    ( ~ spl0_208
    | spl0_53 ),
    inference(avatar_split_clause,[],[f437,f774,f1527]) ).

fof(f1532,definition,
    ( spl0_209
  <=> c0_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1534,plain,
    ( c0_1(a1089)
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f1532]) ).

fof(f1535,plain,
    ( spl0_209
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f147,f744,f1532]) ).

fof(f1547,definition,
    ( spl0_212
  <=> c3_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

fof(f1550,plain,
    ( ~ spl0_212
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f434,f1193,f1547]) ).

fof(f1552,definition,
    ( spl0_213
  <=> c2_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1554,plain,
    ( c2_1(a1102)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f1555,plain,
    ( spl0_213
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f143,f1202,f1552]) ).

fof(f1557,definition,
    ( spl0_214
  <=> c2_1(a1021) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1559,plain,
    ( c2_1(a1021)
    | ~ spl0_214 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f1560,plain,
    ( spl0_214
    | spl0_145 ),
    inference(avatar_split_clause,[],[f433,f1216,f1557]) ).

fof(f1562,definition,
    ( spl0_215
  <=> c1_1(a1022) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f1565,plain,
    ( ~ spl0_215
    | spl0_148 ),
    inference(avatar_split_clause,[],[f432,f1230,f1562]) ).

fof(f1567,definition,
    ( spl0_216
  <=> c3_1(a1022) ),
    introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).

fof(f1570,plain,
    ( ~ spl0_216
    | spl0_148 ),
    inference(avatar_split_clause,[],[f431,f1230,f1567]) ).

fof(f1572,definition,
    ( spl0_217
  <=> c3_1(a1028) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1575,plain,
    ( ~ spl0_217
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f430,f723,f1572]) ).

fof(f1577,definition,
    ( spl0_218
  <=> c0_1(a1028) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1579,plain,
    ( c0_1(a1028)
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1580,plain,
    ( spl0_218
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f138,f723,f1577]) ).

fof(f1592,definition,
    ( spl0_221
  <=> c2_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

fof(f1594,plain,
    ( c2_1(a1031)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f1595,plain,
    ( spl0_221
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f135,f684,f1592]) ).

fof(f1597,definition,
    ( spl0_222
  <=> c3_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1600,plain,
    ( ~ spl0_222
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f428,f684,f1597]) ).

fof(f1607,definition,
    ( spl0_224
  <=> c3_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1610,plain,
    ( ~ spl0_224
    | spl0_35 ),
    inference(avatar_split_clause,[],[f426,f694,f1607]) ).

fof(f1612,definition,
    ( spl0_225
  <=> c1_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

fof(f1615,plain,
    ( ~ spl0_225
    | spl0_35 ),
    inference(avatar_split_clause,[],[f425,f694,f1612]) ).

fof(f1617,definition,
    ( spl0_226
  <=> c0_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).

fof(f1619,plain,
    ( c0_1(a1033)
    | ~ spl0_226 ),
    inference(avatar_component_clause,[],[f1617]) ).

fof(f1620,plain,
    ( spl0_226
    | spl0_35 ),
    inference(avatar_split_clause,[],[f424,f694,f1617]) ).

fof(f1622,definition,
    ( spl0_227
  <=> c1_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f1625,plain,
    ( ~ spl0_227
    | spl0_15 ),
    inference(avatar_split_clause,[],[f423,f610,f1622]) ).

fof(f1627,definition,
    ( spl0_228
  <=> c3_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

fof(f1630,plain,
    ( ~ spl0_228
    | spl0_15 ),
    inference(avatar_split_clause,[],[f422,f610,f1627]) ).

fof(f1632,definition,
    ( spl0_229
  <=> c3_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).

fof(f1635,plain,
    ( ~ spl0_229
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f421,f842,f1632]) ).

fof(f1637,definition,
    ( spl0_230
  <=> c0_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).

fof(f1639,plain,
    ( c0_1(a1037)
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f1637]) ).

fof(f1640,plain,
    ( spl0_230
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f126,f842,f1637]) ).

fof(f1642,definition,
    ( spl0_231
  <=> c2_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

fof(f1644,plain,
    ( c2_1(a1040)
    | ~ spl0_231 ),
    inference(avatar_component_clause,[],[f1642]) ).

fof(f1645,plain,
    ( spl0_231
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f125,f679,f1642]) ).

fof(f1647,definition,
    ( spl0_232
  <=> c3_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

fof(f1650,plain,
    ( ~ spl0_232
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f420,f679,f1647]) ).

fof(f1652,definition,
    ( spl0_233
  <=> c1_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).

fof(f1655,plain,
    ( ~ spl0_233
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f419,f679,f1652]) ).

fof(f1657,definition,
    ( spl0_234
  <=> c2_1(a1042) ),
    introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).

fof(f1659,plain,
    ( c2_1(a1042)
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f1660,plain,
    ( spl0_234
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f122,f784,f1657]) ).

fof(f1662,definition,
    ( spl0_235
  <=> c0_1(a1042) ),
    introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).

fof(f1664,plain,
    ( c0_1(a1042)
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f1662]) ).

fof(f1665,plain,
    ( spl0_235
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f121,f784,f1662]) ).

fof(f1682,definition,
    ( spl0_239
  <=> c0_1(a1046) ),
    introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).

fof(f1684,plain,
    ( c0_1(a1046)
    | ~ spl0_239 ),
    inference(avatar_component_clause,[],[f1682]) ).

fof(f1685,plain,
    ( spl0_239
    | spl0_41 ),
    inference(avatar_split_clause,[],[f416,f718,f1682]) ).

fof(f1687,definition,
    ( spl0_240
  <=> c1_1(a1046) ),
    introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).

fof(f1690,plain,
    ( ~ spl0_240
    | spl0_41 ),
    inference(avatar_split_clause,[],[f415,f718,f1687]) ).

fof(f1692,definition,
    ( spl0_241
  <=> c1_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1695,plain,
    ( ~ spl0_241
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f414,f819,f1692]) ).

fof(f1697,definition,
    ( spl0_242
  <=> c2_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1700,plain,
    ( spl0_242
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f114,f819,f1697]) ).

fof(f1702,definition,
    ( spl0_243
  <=> c0_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1704,plain,
    ( c0_1(a1049)
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f1702]) ).

fof(f1705,plain,
    ( spl0_243
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f113,f819,f1702]) ).

fof(f1707,definition,
    ( spl0_244
  <=> c0_1(a1051) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1709,plain,
    ( c0_1(a1051)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f1707]) ).

fof(f1710,plain,
    ( spl0_244
    | spl0_85 ),
    inference(avatar_split_clause,[],[f413,f920,f1707]) ).

fof(f1712,definition,
    ( spl0_245
  <=> c1_1(a1051) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1715,plain,
    ( ~ spl0_245
    | spl0_85 ),
    inference(avatar_split_clause,[],[f412,f920,f1712]) ).

fof(f1717,definition,
    ( spl0_246
  <=> c2_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

fof(f1720,plain,
    ( spl0_246
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f916,f1717]) ).

fof(f1722,definition,
    ( spl0_247
  <=> c3_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

fof(f1725,plain,
    ( ~ spl0_247
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f411,f916,f1722]) ).

fof(f1727,definition,
    ( spl0_248
  <=> c0_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

fof(f1729,plain,
    ( c0_1(a1052)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f1727]) ).

fof(f1730,plain,
    ( spl0_248
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f108,f916,f1727]) ).

fof(f1737,definition,
    ( spl0_250
  <=> c3_1(a1056) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

fof(f1740,plain,
    ( ~ spl0_250
    | spl0_26 ),
    inference(avatar_split_clause,[],[f410,f657,f1737]) ).

fof(f1742,definition,
    ( spl0_251
  <=> c1_1(a1056) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

fof(f1745,plain,
    ( ~ spl0_251
    | spl0_26 ),
    inference(avatar_split_clause,[],[f409,f657,f1742]) ).

fof(f1747,definition,
    ( spl0_252
  <=> c2_1(a1056) ),
    introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).

fof(f1749,plain,
    ( c2_1(a1056)
    | ~ spl0_252 ),
    inference(avatar_component_clause,[],[f1747]) ).

fof(f1750,plain,
    ( spl0_252
    | spl0_26 ),
    inference(avatar_split_clause,[],[f408,f657,f1747]) ).

fof(f1767,definition,
    ( spl0_256
  <=> c1_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1770,plain,
    ( ~ spl0_256
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f404,f749,f1767]) ).

fof(f1787,definition,
    ( spl0_260
  <=> c2_1(a1070) ),
    introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).

fof(f1789,plain,
    ( c2_1(a1070)
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f1787]) ).

fof(f1790,plain,
    ( spl0_260
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f96,f639,f1787]) ).

fof(f1807,definition,
    ( spl0_264
  <=> c0_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f1809,plain,
    ( c0_1(a1073)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f1807]) ).

fof(f1810,plain,
    ( spl0_264
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f92,f618,f1807]) ).

fof(f1812,definition,
    ( spl0_265
  <=> c2_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f1815,plain,
    ( spl0_265
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f91,f618,f1812]) ).

fof(f1817,definition,
    ( spl0_266
  <=> c1_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).

fof(f1820,plain,
    ( ~ spl0_266
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f399,f618,f1817]) ).

fof(f1847,definition,
    ( spl0_272
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).

fof(f1849,plain,
    ( c0_1(a1084)
    | ~ spl0_272 ),
    inference(avatar_component_clause,[],[f1847]) ).

fof(f1850,plain,
    ( spl0_272
    | spl0_57 ),
    inference(avatar_split_clause,[],[f395,f793,f1847]) ).

fof(f1852,definition,
    ( spl0_273
  <=> c3_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).

fof(f1855,plain,
    ( ~ spl0_273
    | spl0_25 ),
    inference(avatar_split_clause,[],[f394,f652,f1852]) ).

fof(f1857,definition,
    ( spl0_274
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).

fof(f1859,plain,
    ( c0_1(a1085)
    | ~ spl0_274 ),
    inference(avatar_component_clause,[],[f1857]) ).

fof(f1860,plain,
    ( spl0_274
    | spl0_25 ),
    inference(avatar_split_clause,[],[f393,f652,f1857]) ).

fof(f1862,definition,
    ( spl0_275
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

fof(f1865,plain,
    ( spl0_275
    | spl0_25 ),
    inference(avatar_split_clause,[],[f392,f652,f1862]) ).

fof(f1901,definition,
    ( spl0_283
  <=> hskp62 ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

fof(f1906,definition,
    ( spl0_284
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).

fof(f1909,plain,
    ( ~ spl0_284
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f386,f1901,f1906]) ).

fof(f1911,definition,
    ( spl0_285
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).

fof(f1913,plain,
    ( c2_1(a1103)
    | ~ spl0_285 ),
    inference(avatar_component_clause,[],[f1911]) ).

fof(f1914,plain,
    ( spl0_285
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f72,f1901,f1911]) ).

fof(f1916,definition,
    ( spl0_286
  <=> c3_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).

fof(f1919,plain,
    ( ~ spl0_286
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f385,f1383,f1916]) ).

fof(f1921,definition,
    ( spl0_287
  <=> c1_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).

fof(f1924,plain,
    ( ~ spl0_287
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f384,f1383,f1921]) ).

fof(f1925,plain,
    ( spl0_179
    | ~ spl0_57
    | spl0_283 ),
    inference(avatar_split_clause,[],[f383,f1901,f793,f1383]) ).

fof(f1926,plain,
    ( spl0_142
    | spl0_140
    | spl0_63 ),
    inference(avatar_split_clause,[],[f68,f819,f1193,f1202]) ).

fof(f1927,plain,
    ( ~ spl0_121
    | spl0_118
    | spl0_55 ),
    inference(avatar_split_clause,[],[f382,f784,f1085,f1099]) ).

fof(f1929,plain,
    ( ~ spl0_148
    | ~ spl0_145
    | spl0_86 ),
    inference(avatar_split_clause,[],[f381,f926,f1216,f1230]) ).

fof(f1986,plain,
    ( ~ spl0_3
    | spl0_57 ),
    inference(avatar_split_clause,[],[f324,f793,f567]) ).

fof(f1992,plain,
    ( ~ spl0_3
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f318,f1901,f567]) ).

fof(f1993,plain,
    ( ~ spl0_3
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f317,f1383,f567]) ).

fof(f2019,plain,
    ( ~ c2_1(a1034)
    | c3_1(a1034)
    | ~ spl0_6
    | spl0_155 ),
    inference(resolution,[],[f579,f1266]) ).

fof(f2024,plain,
    ( ~ c2_1(a1101)
    | c3_1(a1101)
    | ~ spl0_6
    | spl0_141 ),
    inference(resolution,[],[f579,f1199]) ).

fof(f2062,definition,
    ( spl0_291
  <=> c2_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).

fof(f2067,definition,
    ( spl0_292
  <=> c2_1(a1028) ),
    introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).

fof(f2072,definition,
    ( spl0_293
  <=> c2_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).

fof(f2077,definition,
    ( spl0_294
  <=> c2_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).

fof(f2082,definition,
    ( spl0_295
  <=> c2_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).

fof(f2112,definition,
    ( spl0_301
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

fof(f2113,plain,
    ( c2_1(a1084)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f2112]) ).

fof(f2114,plain,
    ( ~ c2_1(a1084)
    | spl0_301 ),
    inference(avatar_component_clause,[],[f2112]) ).

fof(f2123,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f586,f565]) ).

fof(f2174,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f2123]) ).

fof(f2195,plain,
    ( c2_1(a1065)
    | c1_1(a1065)
    | ~ spl0_9
    | spl0_167 ),
    inference(resolution,[],[f589,f1325]) ).

fof(f2251,definition,
    ( spl0_307
  <=> c1_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).

fof(f2398,plain,
    ( c1_1(a1091)
    | ~ c3_1(a1091)
    | ~ spl0_10
    | spl0_135 ),
    inference(resolution,[],[f592,f1170]) ).

fof(f2412,definition,
    ( spl0_319
  <=> c3_1(a1020) ),
    introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).

fof(f2413,plain,
    ( c3_1(a1020)
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f2412]) ).

fof(f2427,definition,
    ( spl0_322
  <=> c3_1(a1035) ),
    introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).

fof(f2442,definition,
    ( spl0_325
  <=> c3_1(a1078) ),
    introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).

fof(f2443,plain,
    ( c3_1(a1078)
    | ~ spl0_325 ),
    inference(avatar_component_clause,[],[f2442]) ).

fof(f2447,definition,
    ( spl0_326
  <=> c3_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).

fof(f2452,definition,
    ( spl0_327
  <=> c3_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).

fof(f2457,definition,
    ( spl0_328
  <=> c3_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).

fof(f2458,plain,
    ( c3_1(a1102)
    | ~ spl0_328 ),
    inference(avatar_component_clause,[],[f2457]) ).

fof(f2467,definition,
    ( spl0_330
  <=> c3_1(a1042) ),
    introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).

fof(f2472,definition,
    ( spl0_331
  <=> c3_1(a1046) ),
    introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).

fof(f2482,definition,
    ( spl0_333
  <=> c3_1(a1051) ),
    introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).

fof(f2492,definition,
    ( spl0_335
  <=> c3_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).

fof(f2497,definition,
    ( spl0_336
  <=> c3_1(a1070) ),
    introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).

fof(f2512,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(resolution,[],[f596,f582]) ).

fof(f2568,plain,
    ( ~ c3_1(a1091)
    | ~ c1_1(a1091)
    | ~ spl0_11
    | spl0_135 ),
    inference(resolution,[],[f596,f1170]) ).

fof(f2574,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f2512]) ).

fof(f2576,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f607,f579]) ).

fof(f2578,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f2576]) ).

fof(f2580,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2578,f606,f578,f561]) ).

fof(f2581,plain,
    ( ~ c1_1(a1020)
    | ~ c3_1(a1020)
    | ~ spl0_2
    | ~ spl0_181 ),
    inference(resolution,[],[f1394,f565]) ).

fof(f2588,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(resolution,[],[f604,f579]) ).

fof(f2591,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f2588]) ).

fof(f2594,plain,
    ( c3_1(a1031)
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_221 ),
    inference(resolution,[],[f2591,f1594]) ).

fof(f2596,plain,
    ( spl0_222
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f2594,f1592,f603,f578,f1597]) ).

fof(f2600,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(resolution,[],[f615,f604]) ).

fof(f2614,plain,
    ( c1_1(a1065)
    | c3_1(a1065)
    | ~ spl0_16
    | spl0_167 ),
    inference(resolution,[],[f615,f1325]) ).

fof(f2649,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f2600]) ).

fof(f2681,plain,
    ( spl0_335
    | spl0_256
    | ~ spl0_16
    | spl0_167 ),
    inference(avatar_split_clause,[],[f2614,f1323,f614,f1767,f2492]) ).

fof(f2694,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2649,f614,f603,f561]) ).

fof(f2703,plain,
    ( c3_1(a1056)
    | c1_1(a1056)
    | ~ spl0_1
    | ~ spl0_252 ),
    inference(resolution,[],[f562,f1749]) ).

fof(f2737,plain,
    ( c1_1(a1065)
    | ~ c3_1(a1065)
    | ~ spl0_10
    | spl0_166 ),
    inference(resolution,[],[f592,f1320]) ).

fof(f2741,plain,
    ( c1_1(a1051)
    | ~ c3_1(a1051)
    | ~ spl0_10
    | spl0_162 ),
    inference(resolution,[],[f592,f1301]) ).

fof(f2743,plain,
    ( c1_1(a1046)
    | ~ c3_1(a1046)
    | ~ spl0_10
    | spl0_161 ),
    inference(resolution,[],[f592,f1296]) ).

fof(f2762,plain,
    ( c1_1(a1079)
    | ~ c3_1(a1079)
    | ~ spl0_10
    | spl0_123 ),
    inference(resolution,[],[f592,f1110]) ).

fof(f2773,plain,
    ( c1_1(a1035)
    | ~ c3_1(a1035)
    | ~ spl0_10
    | spl0_101 ),
    inference(resolution,[],[f592,f1002]) ).

fof(f2789,plain,
    ( ~ c1_1(a1031)
    | c3_1(a1031)
    | ~ spl0_18
    | ~ spl0_221 ),
    inference(resolution,[],[f623,f1594]) ).

fof(f2794,plain,
    ( c2_1(a1037)
    | c3_1(a1037)
    | ~ spl0_21
    | ~ spl0_230 ),
    inference(resolution,[],[f636,f1639]) ).

fof(f2797,plain,
    ( c2_1(a1020)
    | c3_1(a1020)
    | ~ spl0_21
    | ~ spl0_181 ),
    inference(resolution,[],[f636,f1394]) ).

fof(f2802,plain,
    ( spl0_222
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f2789,f1592,f622,f1249,f1597]) ).

fof(f2863,plain,
    ( ~ c2_1(a1033)
    | c1_1(a1033)
    | ~ spl0_14
    | ~ spl0_226 ),
    inference(resolution,[],[f607,f1619]) ).

fof(f2874,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(resolution,[],[f644,f586]) ).

fof(f2879,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f2874]) ).

fof(f2893,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(resolution,[],[f662,f586]) ).

fof(f2898,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f2893]) ).

fof(f2900,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2898,f661,f585,f581]) ).

fof(f2905,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(resolution,[],[f665,f586]) ).

fof(f2911,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f2905]) ).

fof(f2913,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2911,f664,f585,f581]) ).

fof(f2931,plain,
    ( ~ c2_1(a1049)
    | c1_1(a1049)
    | ~ spl0_14
    | ~ spl0_243 ),
    inference(resolution,[],[f1704,f607]) ).

fof(f2936,plain,
    ( ~ c2_1(a1073)
    | c1_1(a1073)
    | ~ spl0_14
    | ~ spl0_264 ),
    inference(resolution,[],[f1809,f607]) ).

fof(f2938,plain,
    ( spl0_266
    | ~ spl0_265
    | ~ spl0_14
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f2936,f1807,f606,f1812,f1817]) ).

fof(f2978,plain,
    ( c2_1(a1091)
    | ~ c1_1(a1091)
    | ~ spl0_5
    | spl0_136 ),
    inference(resolution,[],[f576,f1175]) ).

fof(f2980,plain,
    ( c2_1(a1080)
    | ~ c1_1(a1080)
    | ~ spl0_5
    | spl0_127 ),
    inference(resolution,[],[f576,f1130]) ).

fof(f2985,plain,
    ( c3_1(a1040)
    | c1_1(a1040)
    | ~ spl0_1
    | ~ spl0_231 ),
    inference(resolution,[],[f1644,f562]) ).

fof(f3029,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(resolution,[],[f604,f599]) ).

fof(f3031,plain,
    ( ~ c2_1(a1085)
    | c3_1(a1085)
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(resolution,[],[f604,f1859]) ).

fof(f3037,plain,
    ( ~ c2_1(a1037)
    | c3_1(a1037)
    | ~ spl0_13
    | ~ spl0_230 ),
    inference(resolution,[],[f604,f1639]) ).

fof(f3038,plain,
    ( ~ c2_1(a1033)
    | c3_1(a1033)
    | ~ spl0_13
    | ~ spl0_226 ),
    inference(resolution,[],[f604,f1619]) ).

fof(f3044,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f3029]) ).

fof(f3048,plain,
    ( spl0_273
    | ~ spl0_275
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f3031,f1857,f603,f1862,f1852]) ).

fof(f3049,plain,
    ( spl0_18
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f3044,f603,f598,f622]) ).

fof(f3053,plain,
    ( spl0_229
    | spl0_295
    | ~ spl0_21
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2794,f1637,f635,f2082,f1632]) ).

fof(f3100,plain,
    ( ~ c1_1(a1102)
    | ~ c2_1(a1102)
    | ~ spl0_12
    | spl0_144 ),
    inference(resolution,[],[f599,f1213]) ).

fof(f3120,plain,
    ( ~ c1_1(a1070)
    | c3_1(a1070)
    | ~ spl0_18
    | ~ spl0_260 ),
    inference(resolution,[],[f623,f1789]) ).

fof(f3146,plain,
    ( ~ c1_1(a1036)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(resolution,[],[f2574,f1012]) ).

fof(f3148,plain,
    ( ~ c1_1(a1020)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_319 ),
    inference(resolution,[],[f2574,f2413]) ).

fof(f3150,plain,
    ( ~ spl0_88
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f3148,f2412,f595,f581,f935]) ).

fof(f3151,plain,
    ( ~ spl0_102
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3146,f1010,f595,f581,f1005]) ).

fof(f3214,plain,
    ( ~ c2_1(a1028)
    | c3_1(a1028)
    | ~ spl0_13
    | ~ spl0_218 ),
    inference(resolution,[],[f1579,f604]) ).

fof(f3217,plain,
    ( ~ c2_1(a1042)
    | c3_1(a1042)
    | ~ spl0_13
    | ~ spl0_235 ),
    inference(resolution,[],[f1664,f604]) ).

fof(f3237,plain,
    ( ~ c1_1(a1070)
    | ~ c3_1(a1070)
    | ~ spl0_7
    | ~ spl0_260 ),
    inference(resolution,[],[f582,f1789]) ).

fof(f3241,plain,
    ( ~ c1_1(a1042)
    | ~ c3_1(a1042)
    | ~ spl0_7
    | ~ spl0_234 ),
    inference(resolution,[],[f582,f1659]) ).

fof(f3246,plain,
    ( ~ c1_1(a1021)
    | ~ c3_1(a1021)
    | ~ spl0_7
    | ~ spl0_214 ),
    inference(resolution,[],[f582,f1559]) ).

fof(f3274,plain,
    ( ~ c3_1(a1084)
    | ~ c1_1(a1084)
    | ~ spl0_11
    | spl0_301 ),
    inference(resolution,[],[f596,f2114]) ).

fof(f3292,plain,
    ( ~ c3_1(a1089)
    | ~ c1_1(a1089)
    | ~ spl0_11
    | spl0_134 ),
    inference(resolution,[],[f596,f1165]) ).

fof(f3344,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(resolution,[],[f636,f615]) ).

fof(f3355,plain,
    ( c2_1(a1051)
    | c3_1(a1051)
    | ~ spl0_21
    | ~ spl0_244 ),
    inference(resolution,[],[f636,f1709]) ).

fof(f3357,plain,
    ( c2_1(a1046)
    | c3_1(a1046)
    | ~ spl0_21
    | ~ spl0_239 ),
    inference(resolution,[],[f636,f1684]) ).

fof(f3361,plain,
    ( c2_1(a1033)
    | c3_1(a1033)
    | ~ spl0_21
    | ~ spl0_226 ),
    inference(resolution,[],[f636,f1619]) ).

fof(f3362,plain,
    ( c2_1(a1028)
    | c3_1(a1028)
    | ~ spl0_21
    | ~ spl0_218 ),
    inference(resolution,[],[f636,f1579]) ).

fof(f3363,plain,
    ( c2_1(a1089)
    | c3_1(a1089)
    | ~ spl0_21
    | ~ spl0_209 ),
    inference(resolution,[],[f636,f1534]) ).

fof(f3367,plain,
    ( c2_1(a1048)
    | c3_1(a1048)
    | ~ spl0_21
    | ~ spl0_196 ),
    inference(resolution,[],[f636,f1469]) ).

fof(f3370,plain,
    ( c2_1(a1035)
    | c3_1(a1035)
    | ~ spl0_21
    | ~ spl0_189 ),
    inference(resolution,[],[f636,f1434]) ).

fof(f3374,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f3344]) ).

fof(f3383,plain,
    ( spl0_327
    | spl0_134
    | ~ spl0_21
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3363,f1532,f635,f1163,f2452]) ).

fof(f3384,plain,
    ( spl0_217
    | spl0_292
    | ~ spl0_21
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f3362,f1577,f635,f2067,f1572]) ).

fof(f3387,plain,
    ( spl0_331
    | spl0_161
    | ~ spl0_21
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f3357,f1682,f635,f1294,f2472]) ).

fof(f3389,plain,
    ( spl0_333
    | spl0_162
    | ~ spl0_21
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f3355,f1707,f635,f1299,f2482]) ).

fof(f3433,plain,
    ( ~ c1_1(a1078)
    | ~ c3_1(a1078)
    | ~ spl0_7
    | ~ spl0_203 ),
    inference(resolution,[],[f1504,f582]) ).

fof(f3460,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(resolution,[],[f589,f636]) ).

fof(f3473,plain,
    ( c2_1(a1034)
    | c1_1(a1034)
    | ~ spl0_9
    | spl0_155 ),
    inference(resolution,[],[f589,f1266]) ).

fof(f3478,plain,
    ( c2_1(a1079)
    | c1_1(a1079)
    | ~ spl0_9
    | spl0_124 ),
    inference(resolution,[],[f589,f1115]) ).

fof(f3493,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f3460]) ).

fof(f3523,plain,
    ( c2_1(a1089)
    | ~ c1_1(a1089)
    | ~ spl0_23
    | ~ spl0_209 ),
    inference(resolution,[],[f644,f1534]) ).

fof(f3546,plain,
    ( ~ c1_1(a1078)
    | ~ c2_1(a1078)
    | ~ spl0_27
    | ~ spl0_202 ),
    inference(resolution,[],[f662,f1499]) ).

fof(f3559,plain,
    ( c2_1(a1051)
    | c1_1(a1051)
    | ~ spl0_30
    | ~ spl0_244 ),
    inference(resolution,[],[f673,f1709]) ).

fof(f3588,plain,
    ( ~ c1_1(a1028)
    | c3_1(a1028)
    | ~ spl0_31
    | ~ spl0_218 ),
    inference(resolution,[],[f676,f1579]) ).

fof(f3639,plain,
    ( c3_1(a1105)
    | c1_1(a1105)
    | ~ spl0_37
    | spl0_180 ),
    inference(resolution,[],[f704,f1389]) ).

fof(f3651,plain,
    ( c3_1(a1022)
    | c1_1(a1022)
    | ~ spl0_37
    | spl0_149 ),
    inference(resolution,[],[f704,f1236]) ).

fof(f3653,plain,
    ( c3_1(a1088)
    | c1_1(a1088)
    | ~ spl0_37
    | spl0_132 ),
    inference(resolution,[],[f704,f1155]) ).

fof(f3678,plain,
    ( spl0_287
    | spl0_286
    | ~ spl0_37
    | spl0_180 ),
    inference(avatar_split_clause,[],[f3639,f1387,f703,f1916,f1921]) ).

fof(f3680,plain,
    ( ~ spl0_213
    | ~ spl0_143
    | ~ spl0_12
    | spl0_144 ),
    inference(avatar_split_clause,[],[f3100,f1211,f598,f1206,f1552]) ).

fof(f3682,plain,
    ( spl0_37
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f3374,f635,f614,f703]) ).

fof(f3683,plain,
    ( spl0_37
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f3493,f635,f588,f703]) ).

fof(f3711,plain,
    ( ~ c2_1(a1052)
    | c3_1(a1052)
    | ~ spl0_13
    | ~ spl0_248 ),
    inference(resolution,[],[f1729,f604]) ).

fof(f3712,plain,
    ( spl0_247
    | ~ spl0_246
    | ~ spl0_13
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f3711,f1727,f603,f1717,f1722]) ).

fof(f3714,plain,
    ( spl0_228
    | ~ spl0_294
    | ~ spl0_6
    | spl0_155 ),
    inference(avatar_split_clause,[],[f2019,f1264,f578,f2077,f1627]) ).

fof(f3723,plain,
    ( ~ spl0_171
    | ~ spl0_172
    | ~ spl0_11
    | spl0_301 ),
    inference(avatar_split_clause,[],[f3274,f2112,f595,f1348,f1343]) ).

fof(f3731,plain,
    ( ~ spl0_333
    | spl0_245
    | ~ spl0_10
    | spl0_162 ),
    inference(avatar_split_clause,[],[f2741,f1299,f591,f1712,f2482]) ).

fof(f3735,plain,
    ( spl0_217
    | ~ spl0_150
    | ~ spl0_31
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f3588,f1577,f675,f1239,f1572]) ).

fof(f3770,plain,
    ( ~ spl0_133
    | spl0_134
    | ~ spl0_23
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3523,f1532,f643,f1163,f1158]) ).

fof(f3775,plain,
    ( ~ spl0_137
    | spl0_307
    | ~ spl0_10
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2398,f1168,f591,f2251,f1178]) ).

fof(f3795,plain,
    ( spl0_217
    | ~ spl0_292
    | ~ spl0_13
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f3214,f1577,f603,f2067,f1572]) ).

fof(f3802,plain,
    ( spl0_251
    | spl0_250
    | ~ spl0_1
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f2703,f1747,f561,f1737,f1742]) ).

fof(f3814,plain,
    ( ~ spl0_203
    | ~ spl0_122
    | ~ spl0_27
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f3546,f1497,f661,f1103,f1502]) ).

fof(f3834,plain,
    ( ~ spl0_307
    | ~ spl0_137
    | ~ spl0_11
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2568,f1168,f595,f1178,f2251]) ).

fof(f3840,plain,
    ( ~ spl0_330
    | ~ spl0_157
    | ~ spl0_7
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f3241,f1657,f581,f1274,f2467]) ).

fof(f3842,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_7
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f3246,f1557,f581,f1225,f1220]) ).

fof(f3846,plain,
    ( ~ spl0_325
    | ~ spl0_122
    | ~ spl0_7
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f3433,f1502,f581,f1103,f2442]) ).

fof(f3847,plain,
    ( spl0_11
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f2879,f643,f585,f595]) ).

fof(f3852,plain,
    ( spl0_225
    | ~ spl0_293
    | ~ spl0_14
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f2863,f1617,f606,f2072,f1612]) ).

fof(f3855,plain,
    ( spl0_241
    | ~ spl0_242
    | ~ spl0_14
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f2931,f1702,f606,f1697,f1692]) ).

fof(f3857,plain,
    ( spl0_322
    | spl0_101
    | ~ spl0_21
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f3370,f1432,f635,f1000,f2427]) ).

fof(f3892,plain,
    ( ~ spl0_307
    | spl0_135
    | ~ spl0_5
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2978,f1173,f575,f1168,f2251]) ).

fof(f3942,plain,
    ( ~ c1_1(a1084)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_172 ),
    inference(resolution,[],[f2174,f1350]) ).

fof(f3963,plain,
    ( ~ c1_1(a1102)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_328 ),
    inference(resolution,[],[f2174,f2458]) ).

fof(f3968,plain,
    ( ~ c1_1(a1078)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_325 ),
    inference(resolution,[],[f2174,f2443]) ).

fof(f3991,plain,
    ( ~ spl0_171
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3942,f1348,f585,f564,f1343]) ).

fof(f3993,plain,
    ( ~ spl0_336
    | ~ spl0_169
    | ~ spl0_7
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f3237,f1787,f581,f1333,f2497]) ).

fof(f3995,plain,
    ( spl0_336
    | ~ spl0_169
    | ~ spl0_18
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f3120,f1787,f622,f1333,f2497]) ).

fof(f4104,plain,
    ( ~ c1_1(a1084)
    | ~ c3_1(a1084)
    | ~ spl0_7
    | ~ spl0_301 ),
    inference(resolution,[],[f582,f2113]) ).

fof(f4137,plain,
    ( ~ spl0_172
    | ~ spl0_171
    | ~ spl0_7
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f4104,f2112,f581,f1343,f1348]) ).

fof(f4213,plain,
    ( ~ c2_1(a1078)
    | c3_1(a1078)
    | ~ spl0_13
    | ~ spl0_202 ),
    inference(resolution,[],[f604,f1499]) ).

fof(f4319,plain,
    ( ~ c1_1(a1102)
    | c3_1(a1102)
    | ~ spl0_18
    | ~ spl0_213 ),
    inference(resolution,[],[f623,f1554]) ).

fof(f4321,plain,
    ( ~ c1_1(a1083)
    | c3_1(a1083)
    | ~ spl0_18
    | ~ spl0_206 ),
    inference(resolution,[],[f623,f1519]) ).

fof(f4322,plain,
    ( ~ c1_1(a1059)
    | c3_1(a1059)
    | ~ spl0_18
    | ~ spl0_197 ),
    inference(resolution,[],[f623,f1474]) ).

fof(f4338,plain,
    ( ~ c1_1(a1084)
    | ~ c2_1(a1084)
    | ~ spl0_27
    | ~ spl0_272 ),
    inference(resolution,[],[f662,f1849]) ).

fof(f4385,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(resolution,[],[f665,f599]) ).

fof(f4407,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f4385]) ).

fof(f4420,plain,
    ( ~ c1_1(a1089)
    | c3_1(a1089)
    | ~ spl0_31
    | ~ spl0_209 ),
    inference(resolution,[],[f676,f1534]) ).

fof(f4458,plain,
    ( c2_1(a1101)
    | c3_1(a1101)
    | ~ spl0_38
    | spl0_141 ),
    inference(resolution,[],[f707,f1199]) ).

fof(f4460,plain,
    ( c2_1(a1079)
    | c3_1(a1079)
    | ~ spl0_38
    | spl0_124 ),
    inference(resolution,[],[f707,f1115]) ).

fof(f4461,plain,
    ( c2_1(a1077)
    | c3_1(a1077)
    | ~ spl0_38
    | spl0_120 ),
    inference(resolution,[],[f707,f1096]) ).

fof(f4486,plain,
    ( spl0_198
    | ~ spl0_116
    | ~ spl0_18
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f4322,f1472,f622,f1075,f1477]) ).

fof(f4490,plain,
    ( ~ spl0_319
    | ~ spl0_88
    | ~ spl0_2
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2581,f1392,f564,f935,f2412]) ).

fof(f4507,plain,
    ( ~ spl0_335
    | spl0_256
    | ~ spl0_10
    | spl0_166 ),
    inference(avatar_split_clause,[],[f2737,f1318,f591,f1767,f2492]) ).

fof(f4509,plain,
    ( ~ spl0_331
    | spl0_240
    | ~ spl0_10
    | spl0_161 ),
    inference(avatar_split_clause,[],[f2743,f1294,f591,f1687,f2472]) ).

fof(f4518,plain,
    ( ~ spl0_322
    | spl0_188
    | ~ spl0_10
    | spl0_101 ),
    inference(avatar_split_clause,[],[f2773,f1000,f591,f1427,f2427]) ).

fof(f4542,plain,
    ( ~ spl0_133
    | ~ spl0_327
    | ~ spl0_11
    | spl0_134 ),
    inference(avatar_split_clause,[],[f3292,f1163,f595,f2452,f1158]) ).

fof(f4550,plain,
    ( spl0_245
    | spl0_162
    | ~ spl0_30
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f3559,f1707,f672,f1299,f1712]) ).

fof(f4562,plain,
    ( spl0_212
    | spl0_291
    | ~ spl0_38
    | spl0_141 ),
    inference(avatar_split_clause,[],[f4458,f1197,f706,f2062,f1547]) ).

fof(f4563,plain,
    ( spl0_326
    | spl0_123
    | ~ spl0_38
    | spl0_124 ),
    inference(avatar_split_clause,[],[f4460,f1113,f706,f1108,f2447]) ).

fof(f4564,plain,
    ( spl0_201
    | spl0_119
    | ~ spl0_38
    | spl0_120 ),
    inference(avatar_split_clause,[],[f4461,f1094,f706,f1089,f1492]) ).

fof(f4570,plain,
    ( spl0_229
    | ~ spl0_295
    | ~ spl0_13
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f3037,f1637,f603,f2082,f1632]) ).

fof(f4577,plain,
    ( spl0_327
    | ~ spl0_133
    | ~ spl0_31
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f4420,f1532,f675,f1158,f2452]) ).

fof(f4605,plain,
    ( spl0_205
    | ~ spl0_131
    | ~ spl0_18
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f4321,f1517,f622,f1148,f1512]) ).

fof(f4608,plain,
    ( ~ spl0_143
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f3963,f2457,f585,f564,f1206]) ).

fof(f4610,plain,
    ( ~ spl0_122
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f3968,f2442,f585,f564,f1103]) ).

fof(f4613,plain,
    ( ~ spl0_125
    | spl0_126
    | ~ spl0_5
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2980,f1128,f575,f1123,f1118]) ).

fof(f4616,plain,
    ( spl0_227
    | spl0_294
    | ~ spl0_9
    | spl0_155 ),
    inference(avatar_split_clause,[],[f3473,f1264,f588,f2077,f1622]) ).

fof(f4625,plain,
    ( spl0_215
    | spl0_216
    | ~ spl0_37
    | spl0_149 ),
    inference(avatar_split_clause,[],[f3651,f1234,f703,f1567,f1562]) ).

fof(f4629,plain,
    ( spl0_330
    | ~ spl0_234
    | ~ spl0_13
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f3217,f1662,f603,f1657,f2467]) ).

fof(f4630,plain,
    ( spl0_328
    | ~ spl0_143
    | ~ spl0_18
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f4319,f1552,f622,f1206,f2457]) ).

fof(f4658,plain,
    ( ~ c1_1(a1042)
    | c3_1(a1042)
    | ~ spl0_18
    | ~ spl0_234 ),
    inference(resolution,[],[f1659,f623]) ).

fof(f4684,plain,
    ( ~ c1_1(a1042)
    | ~ c3_1(a1042)
    | ~ spl0_2
    | ~ spl0_235 ),
    inference(resolution,[],[f565,f1664]) ).

fof(f4693,plain,
    ( ~ c1_1(a1036)
    | ~ c3_1(a1036)
    | ~ spl0_2
    | ~ spl0_190 ),
    inference(resolution,[],[f565,f1439]) ).

fof(f4726,plain,
    ( spl0_319
    | spl0_87
    | ~ spl0_21
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2797,f1392,f635,f930,f2412]) ).

fof(f4730,plain,
    ( spl0_224
    | spl0_293
    | ~ spl0_21
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f3361,f1617,f635,f2072,f1607]) ).

fof(f4732,plain,
    ( spl0_195
    | spl0_112
    | ~ spl0_21
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f3367,f1467,f635,f1055,f1462]) ).

fof(f4741,plain,
    ( spl0_208
    | spl0_207
    | ~ spl0_37
    | spl0_132 ),
    inference(avatar_split_clause,[],[f3653,f1153,f703,f1522,f1527]) ).

fof(f4744,plain,
    ( spl0_325
    | ~ spl0_203
    | ~ spl0_13
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f4213,f1497,f603,f1502,f2442]) ).

fof(f4760,plain,
    ( spl0_224
    | ~ spl0_293
    | ~ spl0_13
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f3038,f1617,f603,f2072,f1607]) ).

fof(f4766,plain,
    ( spl0_233
    | spl0_232
    | ~ spl0_1
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f2985,f1642,f561,f1647,f1652]) ).

fof(f4772,plain,
    ( ~ spl0_330
    | ~ spl0_157
    | ~ spl0_2
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f4684,f1662,f564,f1274,f2467]) ).

fof(f4773,plain,
    ( ~ spl0_103
    | ~ spl0_102
    | ~ spl0_2
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f4693,f1437,f564,f1005,f1010]) ).

fof(f4780,plain,
    ( spl0_212
    | ~ spl0_291
    | ~ spl0_6
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2024,f1197,f578,f2062,f1547]) ).

fof(f4790,plain,
    ( spl0_256
    | spl0_166
    | ~ spl0_9
    | spl0_167 ),
    inference(avatar_split_clause,[],[f2195,f1323,f588,f1318,f1767]) ).

fof(f4797,plain,
    ( spl0_204
    | spl0_123
    | ~ spl0_9
    | spl0_124 ),
    inference(avatar_split_clause,[],[f3478,f1113,f588,f1108,f1507]) ).

fof(f4813,plain,
    ( ~ spl0_326
    | spl0_204
    | ~ spl0_10
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2762,f1108,f591,f1507,f2447]) ).

fof(f4836,plain,
    ( spl0_7
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f4407,f664,f598,f581]) ).

fof(f4837,plain,
    ( spl0_330
    | ~ spl0_157
    | ~ spl0_18
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f4658,f1657,f622,f1274,f2467]) ).

fof(f4857,plain,
    ( ~ spl0_301
    | ~ spl0_171
    | ~ spl0_27
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f4338,f1847,f661,f1343,f2112]) ).

fof(f4945,plain,
    ( c3_1(a1103)
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_285 ),
    inference(resolution,[],[f2591,f1913]) ).

fof(f4993,plain,
    ( spl0_284
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f4945,f1911,f603,f578,f1906]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s4,plain,
    ( spl0_2
    | spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_7
    | spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s7,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_13
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_6
    | spl0_13
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_13
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s12,plain,
    ( spl0_1
    | spl0_3
    | spl0_9
    | spl0_24 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_18
    | spl0_21
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s14,plain,
    ( spl0_3
    | ~ spl0_26
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s16,plain,
    ( spl0_3
    | spl0_21
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s17,plain,
    ( spl0_1
    | spl0_3
    | spl0_9
    | spl0_33 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_6
    | spl0_10
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_12
    | spl0_37
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_7
    | spl0_30
    | spl0_42 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_8
    | spl0_16
    | spl0_47 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s27,plain,
    ( spl0_3
    | spl0_8
    | spl0_21
    | spl0_48 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s33,plain,
    ( spl0_3
    | spl0_13
    | spl0_33
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s36,plain,
    ( spl0_3
    | spl0_37
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s41,plain,
    ( spl0_3
    | spl0_28
    | spl0_63
    | spl0_65 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_16
    | spl0_68
    | spl0_69 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s48,plain,
    ( spl0_2
    | spl0_3
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s51,plain,
    ( spl0_3
    | spl0_33
    | spl0_38
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s54,plain,
    ( spl0_3
    | spl0_11
    | spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s56,plain,
    ( ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s57,plain,
    ( ~ spl0_86
    | spl0_88 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s70,plain,
    ( spl0_19
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s71,plain,
    ( ~ spl0_69
    | spl0_102 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s72,plain,
    ( ~ spl0_69
    | spl0_103 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s81,plain,
    ( ~ spl0_65
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s85,plain,
    ( spl0_82
    | spl0_116 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s87,plain,
    ( ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s88,plain,
    ( ~ spl0_118
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s89,plain,
    ( spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s90,plain,
    ( ~ spl0_78
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s91,plain,
    ( ~ spl0_78
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s92,plain,
    ( ~ spl0_77
    | spl0_125 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s93,plain,
    ( ~ spl0_77
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s94,plain,
    ( ~ spl0_77
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s98,plain,
    ( spl0_58
    | spl0_131 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s99,plain,
    ( spl0_53
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s100,plain,
    ( ~ spl0_47
    | spl0_133 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s101,plain,
    ( ~ spl0_47
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s102,plain,
    ( ~ spl0_24
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s103,plain,
    ( ~ spl0_24
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s104,plain,
    ( ~ spl0_24
    | spl0_137 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s107,plain,
    ( ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s108,plain,
    ( ~ spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s109,plain,
    ( ~ spl0_142
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1214]) ).

cnf(s110,plain,
    ( spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1223]) ).

cnf(s111,plain,
    ( spl0_145
    | spl0_147 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s112,plain,
    ( spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1237]) ).

cnf(s113,plain,
    ( ~ spl0_42
    | spl0_150 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s115,plain,
    ( ~ spl0_33
    | spl0_152 ),
    inference(sat_conversion,[],[f1252]) ).

cnf(s118,plain,
    ( spl0_15
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1267]) ).

cnf(s120,plain,
    ( ~ spl0_55
    | spl0_157 ),
    inference(sat_conversion,[],[f1277]) ).

cnf(s124,plain,
    ( spl0_41
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s125,plain,
    ( spl0_85
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s128,plain,
    ( ~ spl0_48
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s129,plain,
    ( ~ spl0_48
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1326]) ).

cnf(s131,plain,
    ( ~ spl0_22
    | spl0_169 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s133,plain,
    ( spl0_57
    | spl0_171 ),
    inference(sat_conversion,[],[f1346]) ).

cnf(s134,plain,
    ( spl0_57
    | spl0_172 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s141,plain,
    ( ~ spl0_179
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s142,plain,
    ( ~ spl0_86
    | spl0_181 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s149,plain,
    ( spl0_19
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s150,plain,
    ( spl0_19
    | spl0_189 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s151,plain,
    ( ~ spl0_69
    | spl0_190 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s156,plain,
    ( ~ spl0_65
    | ~ spl0_195 ),
    inference(sat_conversion,[],[f1465]) ).

cnf(s157,plain,
    ( ~ spl0_65
    | spl0_196 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s158,plain,
    ( spl0_82
    | spl0_197 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s159,plain,
    ( spl0_82
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f1480]) ).

cnf(s162,plain,
    ( ~ spl0_118
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s163,plain,
    ( spl0_121
    | spl0_202 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s164,plain,
    ( spl0_121
    | spl0_203 ),
    inference(sat_conversion,[],[f1505]) ).

cnf(s165,plain,
    ( ~ spl0_78
    | ~ spl0_204 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s166,plain,
    ( spl0_58
    | ~ spl0_205 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s167,plain,
    ( spl0_58
    | spl0_206 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s168,plain,
    ( spl0_53
    | ~ spl0_207 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s169,plain,
    ( spl0_53
    | ~ spl0_208 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s170,plain,
    ( ~ spl0_47
    | spl0_209 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s173,plain,
    ( ~ spl0_140
    | ~ spl0_212 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s174,plain,
    ( ~ spl0_142
    | spl0_213 ),
    inference(sat_conversion,[],[f1555]) ).

cnf(s175,plain,
    ( spl0_145
    | spl0_214 ),
    inference(sat_conversion,[],[f1560]) ).

cnf(s176,plain,
    ( spl0_148
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s177,plain,
    ( spl0_148
    | ~ spl0_216 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s178,plain,
    ( ~ spl0_42
    | ~ spl0_217 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s179,plain,
    ( ~ spl0_42
    | spl0_218 ),
    inference(sat_conversion,[],[f1580]) ).

cnf(s182,plain,
    ( ~ spl0_33
    | spl0_221 ),
    inference(sat_conversion,[],[f1595]) ).

cnf(s183,plain,
    ( ~ spl0_33
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s185,plain,
    ( spl0_35
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f1610]) ).

cnf(s186,plain,
    ( spl0_35
    | ~ spl0_225 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s187,plain,
    ( spl0_35
    | spl0_226 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s188,plain,
    ( spl0_15
    | ~ spl0_227 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s189,plain,
    ( spl0_15
    | ~ spl0_228 ),
    inference(sat_conversion,[],[f1630]) ).

cnf(s190,plain,
    ( ~ spl0_68
    | ~ spl0_229 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s191,plain,
    ( ~ spl0_68
    | spl0_230 ),
    inference(sat_conversion,[],[f1640]) ).

cnf(s192,plain,
    ( ~ spl0_32
    | spl0_231 ),
    inference(sat_conversion,[],[f1645]) ).

cnf(s193,plain,
    ( ~ spl0_32
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f1650]) ).

cnf(s194,plain,
    ( ~ spl0_32
    | ~ spl0_233 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s195,plain,
    ( ~ spl0_55
    | spl0_234 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s196,plain,
    ( ~ spl0_55
    | spl0_235 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s200,plain,
    ( spl0_41
    | spl0_239 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s201,plain,
    ( spl0_41
    | ~ spl0_240 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s202,plain,
    ( ~ spl0_63
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s203,plain,
    ( ~ spl0_63
    | spl0_242 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s204,plain,
    ( ~ spl0_63
    | spl0_243 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s205,plain,
    ( spl0_85
    | spl0_244 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s206,plain,
    ( spl0_85
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s207,plain,
    ( ~ spl0_84
    | spl0_246 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s208,plain,
    ( ~ spl0_84
    | ~ spl0_247 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s209,plain,
    ( ~ spl0_84
    | spl0_248 ),
    inference(sat_conversion,[],[f1730]) ).

cnf(s211,plain,
    ( spl0_26
    | ~ spl0_250 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s212,plain,
    ( spl0_26
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s213,plain,
    ( spl0_26
    | spl0_252 ),
    inference(sat_conversion,[],[f1750]) ).

cnf(s217,plain,
    ( ~ spl0_48
    | ~ spl0_256 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s221,plain,
    ( ~ spl0_22
    | spl0_260 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s225,plain,
    ( ~ spl0_17
    | spl0_264 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s226,plain,
    ( ~ spl0_17
    | spl0_265 ),
    inference(sat_conversion,[],[f1815]) ).

cnf(s227,plain,
    ( ~ spl0_17
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s233,plain,
    ( spl0_57
    | spl0_272 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s234,plain,
    ( spl0_25
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s235,plain,
    ( spl0_25
    | spl0_274 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s236,plain,
    ( spl0_25
    | spl0_275 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s244,plain,
    ( ~ spl0_283
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s245,plain,
    ( ~ spl0_283
    | spl0_285 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s246,plain,
    ( ~ spl0_179
    | ~ spl0_286 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s247,plain,
    ( ~ spl0_179
    | ~ spl0_287 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s248,plain,
    ( ~ spl0_57
    | spl0_179
    | spl0_283 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s249,plain,
    ( spl0_63
    | spl0_140
    | spl0_142 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s250,plain,
    ( spl0_55
    | spl0_118
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s252,plain,
    ( spl0_86
    | ~ spl0_145
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s309,plain,
    ( ~ spl0_3
    | spl0_57 ),
    inference(sat_conversion,[],[f1986]) ).

cnf(s315,plain,
    ( ~ spl0_3
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s316,plain,
    ( ~ spl0_3
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s405,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2580]) ).

cnf(s407,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | ~ spl0_221
    | spl0_222 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s440,plain,
    ( ~ spl0_16
    | spl0_167
    | spl0_256
    | spl0_335 ),
    inference(sat_conversion,[],[f2681]) ).

cnf(s453,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f2694]) ).

cnf(s466,plain,
    ( ~ spl0_18
    | ~ spl0_152
    | ~ spl0_221
    | spl0_222 ),
    inference(sat_conversion,[],[f2802]) ).

cnf(s475,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f2900]) ).

cnf(s476,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f2913]) ).

cnf(s481,plain,
    ( ~ spl0_14
    | ~ spl0_264
    | ~ spl0_265
    | spl0_266 ),
    inference(sat_conversion,[],[f2938]) ).

cnf(s488,plain,
    ( ~ spl0_13
    | spl0_273
    | ~ spl0_274
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f3048]) ).

cnf(s489,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | spl0_18 ),
    inference(sat_conversion,[],[f3049]) ).

cnf(s493,plain,
    ( ~ spl0_21
    | spl0_229
    | ~ spl0_230
    | spl0_295 ),
    inference(sat_conversion,[],[f3053]) ).

cnf(s513,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_88
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f3150]) ).

cnf(s514,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3151]) ).

cnf(s583,plain,
    ( ~ spl0_21
    | spl0_134
    | ~ spl0_209
    | spl0_327 ),
    inference(sat_conversion,[],[f3383]) ).

cnf(s584,plain,
    ( ~ spl0_21
    | spl0_217
    | ~ spl0_218
    | spl0_292 ),
    inference(sat_conversion,[],[f3384]) ).

cnf(s587,plain,
    ( ~ spl0_21
    | spl0_161
    | ~ spl0_239
    | spl0_331 ),
    inference(sat_conversion,[],[f3387]) ).

cnf(s589,plain,
    ( ~ spl0_21
    | spl0_162
    | ~ spl0_244
    | spl0_333 ),
    inference(sat_conversion,[],[f3389]) ).

cnf(s640,plain,
    ( ~ spl0_37
    | spl0_180
    | spl0_286
    | spl0_287 ),
    inference(sat_conversion,[],[f3678]) ).

cnf(s644,plain,
    ( ~ spl0_12
    | ~ spl0_143
    | spl0_144
    | ~ spl0_213 ),
    inference(sat_conversion,[],[f3680]) ).

cnf(s646,plain,
    ( ~ spl0_16
    | ~ spl0_21
    | spl0_37 ),
    inference(sat_conversion,[],[f3682]) ).

cnf(s647,plain,
    ( ~ spl0_9
    | ~ spl0_21
    | spl0_37 ),
    inference(sat_conversion,[],[f3683]) ).

cnf(s657,plain,
    ( ~ spl0_13
    | ~ spl0_246
    | spl0_247
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f3712]) ).

cnf(s659,plain,
    ( ~ spl0_6
    | spl0_155
    | spl0_228
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f3714]) ).

cnf(s668,plain,
    ( ~ spl0_11
    | ~ spl0_171
    | ~ spl0_172
    | spl0_301 ),
    inference(sat_conversion,[],[f3723]) ).

cnf(s676,plain,
    ( ~ spl0_10
    | spl0_162
    | spl0_245
    | ~ spl0_333 ),
    inference(sat_conversion,[],[f3731]) ).

cnf(s680,plain,
    ( ~ spl0_31
    | ~ spl0_150
    | spl0_217
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f3735]) ).

cnf(s717,plain,
    ( ~ spl0_23
    | ~ spl0_133
    | spl0_134
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f3770]) ).

cnf(s722,plain,
    ( ~ spl0_10
    | spl0_135
    | ~ spl0_137
    | spl0_307 ),
    inference(sat_conversion,[],[f3775]) ).

cnf(s742,plain,
    ( ~ spl0_13
    | spl0_217
    | ~ spl0_218
    | ~ spl0_292 ),
    inference(sat_conversion,[],[f3795]) ).

cnf(s748,plain,
    ( ~ spl0_1
    | spl0_250
    | spl0_251
    | ~ spl0_252 ),
    inference(sat_conversion,[],[f3802]) ).

cnf(s760,plain,
    ( ~ spl0_27
    | ~ spl0_122
    | ~ spl0_202
    | ~ spl0_203 ),
    inference(sat_conversion,[],[f3814]) ).

cnf(s780,plain,
    ( ~ spl0_11
    | spl0_135
    | ~ spl0_137
    | ~ spl0_307 ),
    inference(sat_conversion,[],[f3834]) ).

cnf(s786,plain,
    ( ~ spl0_7
    | ~ spl0_157
    | ~ spl0_234
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f3840]) ).

cnf(s788,plain,
    ( ~ spl0_7
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_214 ),
    inference(sat_conversion,[],[f3842]) ).

cnf(s792,plain,
    ( ~ spl0_7
    | ~ spl0_122
    | ~ spl0_203
    | ~ spl0_325 ),
    inference(sat_conversion,[],[f3846]) ).

cnf(s793,plain,
    ( ~ spl0_8
    | spl0_11
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f3847]) ).

cnf(s798,plain,
    ( ~ spl0_14
    | spl0_225
    | ~ spl0_226
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f3852]) ).

cnf(s801,plain,
    ( ~ spl0_14
    | spl0_241
    | ~ spl0_242
    | ~ spl0_243 ),
    inference(sat_conversion,[],[f3855]) ).

cnf(s803,plain,
    ( ~ spl0_21
    | spl0_101
    | ~ spl0_189
    | spl0_322 ),
    inference(sat_conversion,[],[f3857]) ).

cnf(s831,plain,
    ( ~ spl0_5
    | spl0_135
    | spl0_136
    | ~ spl0_307 ),
    inference(sat_conversion,[],[f3892]) ).

cnf(s839,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_171
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3991]) ).

cnf(s841,plain,
    ( ~ spl0_7
    | ~ spl0_169
    | ~ spl0_260
    | ~ spl0_336 ),
    inference(sat_conversion,[],[f3993]) ).

cnf(s843,plain,
    ( ~ spl0_18
    | ~ spl0_169
    | ~ spl0_260
    | spl0_336 ),
    inference(sat_conversion,[],[f3995]) ).

cnf(s852,plain,
    ( ~ spl0_7
    | ~ spl0_171
    | ~ spl0_172
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f4137]) ).

cnf(s891,plain,
    ( ~ spl0_18
    | ~ spl0_116
    | ~ spl0_197
    | spl0_198 ),
    inference(sat_conversion,[],[f4486]) ).

cnf(s895,plain,
    ( ~ spl0_2
    | ~ spl0_88
    | ~ spl0_181
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f4490]) ).

cnf(s912,plain,
    ( ~ spl0_10
    | spl0_166
    | spl0_256
    | ~ spl0_335 ),
    inference(sat_conversion,[],[f4507]) ).

cnf(s914,plain,
    ( ~ spl0_10
    | spl0_161
    | spl0_240
    | ~ spl0_331 ),
    inference(sat_conversion,[],[f4509]) ).

cnf(s923,plain,
    ( ~ spl0_10
    | spl0_101
    | spl0_188
    | ~ spl0_322 ),
    inference(sat_conversion,[],[f4518]) ).

cnf(s947,plain,
    ( ~ spl0_11
    | ~ spl0_133
    | spl0_134
    | ~ spl0_327 ),
    inference(sat_conversion,[],[f4542]) ).

cnf(s955,plain,
    ( ~ spl0_30
    | spl0_162
    | ~ spl0_244
    | spl0_245 ),
    inference(sat_conversion,[],[f4550]) ).

cnf(s967,plain,
    ( ~ spl0_38
    | spl0_141
    | spl0_212
    | spl0_291 ),
    inference(sat_conversion,[],[f4562]) ).

cnf(s968,plain,
    ( ~ spl0_38
    | spl0_123
    | spl0_124
    | spl0_326 ),
    inference(sat_conversion,[],[f4563]) ).

cnf(s969,plain,
    ( ~ spl0_38
    | spl0_119
    | spl0_120
    | spl0_201 ),
    inference(sat_conversion,[],[f4564]) ).

cnf(s975,plain,
    ( ~ spl0_13
    | spl0_229
    | ~ spl0_230
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f4570]) ).

cnf(s982,plain,
    ( ~ spl0_31
    | ~ spl0_133
    | ~ spl0_209
    | spl0_327 ),
    inference(sat_conversion,[],[f4577]) ).

cnf(s1011,plain,
    ( ~ spl0_18
    | ~ spl0_131
    | spl0_205
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f4605]) ).

cnf(s1015,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_143
    | ~ spl0_328 ),
    inference(sat_conversion,[],[f4608]) ).

cnf(s1017,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_122
    | ~ spl0_325 ),
    inference(sat_conversion,[],[f4610]) ).

cnf(s1020,plain,
    ( ~ spl0_5
    | ~ spl0_125
    | spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f4613]) ).

cnf(s1023,plain,
    ( ~ spl0_9
    | spl0_155
    | spl0_227
    | spl0_294 ),
    inference(sat_conversion,[],[f4616]) ).

cnf(s1032,plain,
    ( ~ spl0_37
    | spl0_149
    | spl0_215
    | spl0_216 ),
    inference(sat_conversion,[],[f4625]) ).

cnf(s1036,plain,
    ( ~ spl0_13
    | ~ spl0_234
    | ~ spl0_235
    | spl0_330 ),
    inference(sat_conversion,[],[f4629]) ).

cnf(s1037,plain,
    ( ~ spl0_18
    | ~ spl0_143
    | ~ spl0_213
    | spl0_328 ),
    inference(sat_conversion,[],[f4630]) ).

cnf(s1051,plain,
    ( ~ spl0_21
    | spl0_87
    | ~ spl0_181
    | spl0_319 ),
    inference(sat_conversion,[],[f4726]) ).

cnf(s1055,plain,
    ( ~ spl0_21
    | spl0_224
    | ~ spl0_226
    | spl0_293 ),
    inference(sat_conversion,[],[f4730]) ).

cnf(s1057,plain,
    ( ~ spl0_21
    | spl0_112
    | spl0_195
    | ~ spl0_196 ),
    inference(sat_conversion,[],[f4732]) ).

cnf(s1066,plain,
    ( ~ spl0_37
    | spl0_132
    | spl0_207
    | spl0_208 ),
    inference(sat_conversion,[],[f4741]) ).

cnf(s1069,plain,
    ( ~ spl0_13
    | ~ spl0_202
    | ~ spl0_203
    | spl0_325 ),
    inference(sat_conversion,[],[f4744]) ).

cnf(s1085,plain,
    ( ~ spl0_13
    | spl0_224
    | ~ spl0_226
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f4760]) ).

cnf(s1090,plain,
    ( ~ spl0_1
    | ~ spl0_231
    | spl0_232
    | spl0_233 ),
    inference(sat_conversion,[],[f4766]) ).

cnf(s1096,plain,
    ( ~ spl0_2
    | ~ spl0_157
    | ~ spl0_235
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f4772]) ).

cnf(s1097,plain,
    ( ~ spl0_2
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f4773]) ).

cnf(s1104,plain,
    ( ~ spl0_6
    | spl0_141
    | spl0_212
    | ~ spl0_291 ),
    inference(sat_conversion,[],[f4780]) ).

cnf(s1115,plain,
    ( ~ spl0_9
    | spl0_166
    | spl0_167
    | spl0_256 ),
    inference(sat_conversion,[],[f4790]) ).

cnf(s1122,plain,
    ( ~ spl0_9
    | spl0_123
    | spl0_124
    | spl0_204 ),
    inference(sat_conversion,[],[f4797]) ).

cnf(s1139,plain,
    ( ~ spl0_10
    | spl0_123
    | spl0_204
    | ~ spl0_326 ),
    inference(sat_conversion,[],[f4813]) ).

cnf(s1162,plain,
    ( spl0_7
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f4836]) ).

cnf(s1163,plain,
    ( ~ spl0_18
    | ~ spl0_157
    | ~ spl0_234
    | spl0_330 ),
    inference(sat_conversion,[],[f4837]) ).

cnf(s1183,plain,
    ( ~ spl0_27
    | ~ spl0_171
    | ~ spl0_272
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f4857]) ).

cnf(s1189,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | spl0_284
    | ~ spl0_285 ),
    inference(sat_conversion,[],[f4993]) ).

cnf(s1191,plain,
    ( spl0_13
    | spl0_18
    | spl0_3 ),
    inference(rat,[],[s481,s225,s226,s227,s6,s8]) ).

cnf(s1192,plain,
    ( spl0_9
    | spl0_8
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1191,s489,s4,s780,s722,s466,s102,s104,s115,s182,s183,s3,s12,s17]) ).

cnf(s1193,plain,
    ( ~ spl0_48
    | ~ spl0_9 ),
    inference(rat,[],[s1115,s128,s129,s217]) ).

cnf(s1194,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_6
    | spl0_3 ),
    inference(rat,[],[s1055,s798,s185,s186,s187,s19,s923,s803,s70,s149,s150,s9,s6]) ).

cnf(s1197,plain,
    ( ~ spl0_33
    | ~ spl0_18 ),
    inference(rat,[],[s466,s115,s182,s183]) ).

cnf(s1200,plain,
    ( spl0_25
    | ~ spl0_13 ),
    inference(rat,[],[s488,s234,s235,s236]) ).

cnf(s1202,plain,
    ( spl0_82
    | ~ spl0_18 ),
    inference(rat,[],[s891,s85,s158,s159]) ).

cnf(s1204,plain,
    ( spl0_41
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(rat,[],[s587,s914,s124,s200,s201]) ).

cnf(s1205,plain,
    ( spl0_53
    | ~ spl0_37 ),
    inference(rat,[],[s1066,s99,s168,s169]) ).

cnf(s1206,plain,
    ( spl0_58
    | ~ spl0_18 ),
    inference(rat,[],[s1011,s98,s166,s167]) ).

cnf(s1207,plain,
    ( ~ spl0_65
    | ~ spl0_21 ),
    inference(rat,[],[s1057,s81,s156,s157]) ).

cnf(s1208,plain,
    ( ~ spl0_63
    | ~ spl0_14 ),
    inference(rat,[],[s801,s202,s203,s204]) ).

cnf(s1215,plain,
    ( ~ spl0_78
    | ~ spl0_9 ),
    inference(rat,[],[s1122,s90,s91,s165]) ).

cnf(s1218,plain,
    ( spl0_85
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(rat,[],[s589,s676,s125,s205,s206]) ).

cnf(s1219,plain,
    ( ~ spl0_84
    | ~ spl0_13 ),
    inference(rat,[],[s657,s207,s208,s209]) ).

cnf(s1220,plain,
    ( spl0_8
    | spl0_6
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1055,s1085,s185,s187,s19,s1218,s54,s1219,s947,s583,s100,s101,s170,s26,s453,s1194,s27,s1193,s1192]) ).

cnf(s1235,plain,
    ( ~ spl0_172
    | ~ spl0_171
    | ~ spl0_11
    | ~ spl0_7 ),
    inference(rat,[],[s668,s852]) ).

cnf(s1237,plain,
    ( ~ spl0_55
    | ~ spl0_13
    | ~ spl0_7 ),
    inference(rat,[],[s786,s1036,s120,s195,s196]) ).

cnf(s1240,plain,
    ( ~ spl0_68
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(rat,[],[s493,s975,s190,s191]) ).

cnf(s1241,plain,
    ( ~ spl0_21
    | ~ spl0_7
    | spl0_6
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s1055,s1085,s185,s187,s19,s1218,s54,s514,s71,s72,s43,s1240,s1219,s453,s1194]) ).

cnf(s1244,plain,
    ( ~ spl0_118
    | ~ spl0_38 ),
    inference(rat,[],[s969,s87,s88,s162]) ).

cnf(s1245,plain,
    ( ~ spl0_13
    | spl0_21
    | ~ spl0_7
    | spl0_3 ),
    inference(rat,[],[s792,s1069,s89,s163,s164,s250,s1244,s51,s1202,s1197,s13,s1237,s1200]) ).

cnf(s1246,plain,
    ( spl0_6
    | spl0_5
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s841,s843,s131,s221,s11,s793,s1235,s133,s134,s36,s1205,s33,s1206,s1197,s1191,s1245,s1241,s1220,s2]) ).

cnf(s1247,plain,
    ( ~ spl0_6
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s407,s182,s183,s17,s1023,s659,s118,s188,s189,s7,s453,s6,s405]) ).

cnf(s1248,plain,
    ( ~ spl0_77
    | ~ spl0_5 ),
    inference(rat,[],[s1020,s92,s93,s94]) ).

cnf(s1249,plain,
    ( ~ spl0_13
    | spl0_224
    | ~ spl0_226
    | spl0_18
    | spl0_3 ),
    inference(rat,[],[s1055,s1085,s13,s1200]) ).

cnf(s1250,plain,
    ( spl0_224
    | spl0_3
    | ~ spl0_226
    | spl0_18 ),
    inference(rat,[],[s1191,s1249]) ).

cnf(s1251,plain,
    ( spl0_6
    | spl0_3
    | spl0_1
    | spl0_2 ),
    inference(rat,[],[s1250,s185,s187,s19,s722,s831,s102,s103,s104,s1197,s12,s17,s1215,s48,s1248,s1246]) ).

cnf(s1252,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1251,s1247]) ).

cnf(s1253,plain,
    ~ spl0_3,
    inference(rat,[],[s248,s309,s315,s316]) ).

cnf(s1254,plain,
    ( spl0_121
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s1017,s1069,s89,s163,s164]) ).

cnf(s1255,plain,
    ( ~ spl0_55
    | ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s1096,s1036,s120,s195,s196]) ).

cnf(s1256,plain,
    ( spl0_21
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s1254,s250,s27,s1244,s1193,s51,s17,s1202,s1197,s13,s1200,s1255,s1252,s1253]) ).

cnf(s1257,plain,
    ( ~ spl0_69
    | ~ spl0_2 ),
    inference(rat,[],[s1097,s71,s72,s151]) ).

cnf(s1258,plain,
    ( ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s1240,s43,s1256,s453,s1257,s1252,s1253]) ).

cnf(s1259,plain,
    spl0_1,
    inference(rat,[],[s839,s133,s134,s27,s36,s1193,s1205,s17,s33,s1206,s1197,s1194,s1191,s1258,s1252,s1247,s1253]) ).

cnf(s1260,plain,
    spl0_26,
    inference(rat,[],[s748,s211,s212,s213,s1259]) ).

cnf(s1261,plain,
    ( ~ spl0_8
    | spl0_7 ),
    inference(rat,[],[s14,s475,s476,s1260,s1253]) ).

cnf(s1262,plain,
    ( ~ spl0_78
    | ~ spl0_10
    | ~ spl0_38 ),
    inference(rat,[],[s968,s1139,s90,s91,s165]) ).

cnf(s1263,plain,
    ( spl0_121
    | ~ spl0_27 ),
    inference(rat,[],[s760,s89,s163,s164]) ).

cnf(s1264,plain,
    ~ spl0_32,
    inference(rat,[],[s1090,s192,s193,s194,s1259]) ).

cnf(s1265,plain,
    ( spl0_21
    | ~ spl0_13 ),
    inference(rat,[],[s680,s113,s178,s179,s23,s955,s125,s205,s206,s54,s947,s982,s100,s101,s170,s26,s440,s912,s3,s1193,s128,s129,s217,s27,s1261,s16,s1245,s1219,s1253,s1264]) ).

cnf(s1266,plain,
    ( spl0_121
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s792,s1069,s89,s163,s164]) ).

cnf(s1267,plain,
    ( ~ spl0_18
    | spl0_38 ),
    inference(rat,[],[s51,s1202,s1197,s1253]) ).

cnf(s1268,plain,
    ( ~ spl0_69
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(rat,[],[s514,s71,s72]) ).

cnf(s1279,plain,
    ( spl0_145
    | ~ spl0_7 ),
    inference(rat,[],[s788,s110,s111,s175]) ).

cnf(s1280,plain,
    ( spl0_148
    | ~ spl0_37 ),
    inference(rat,[],[s1032,s112,s176,s177]) ).

cnf(s1288,plain,
    ( ~ spl0_142
    | ~ spl0_12 ),
    inference(rat,[],[s644,s108,s109,s174]) ).

cnf(s1290,plain,
    ( ~ spl0_283
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(rat,[],[s1189,s244,s245]) ).

cnf(s1292,plain,
    ( ~ spl0_171
    | spl0_57
    | ~ spl0_27
    | ~ spl0_11 ),
    inference(rat,[],[s668,s1183,s233,s134]) ).

cnf(s1293,plain,
    ( spl0_57
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(rat,[],[s133,s1292]) ).

cnf(s1294,plain,
    ( ~ spl0_179
    | ~ spl0_37 ),
    inference(rat,[],[s640,s141,s246,s247]) ).

cnf(s1295,plain,
    ( ~ spl0_42
    | ~ spl0_13 ),
    inference(rat,[],[s742,s584,s178,s179,s1265]) ).

cnf(s1296,plain,
    ( spl0_7
    | spl0_179
    | spl0_5
    | ~ spl0_13 ),
    inference(rat,[],[s955,s125,s205,s206,s54,s1293,s14,s248,s1162,s1290,s5,s23,s2,s1261,s1219,s1295,s1253,s1260]) ).

cnf(s1297,plain,
    ( ~ spl0_9
    | spl0_2
    | ~ spl0_13 ),
    inference(rat,[],[s4,s513,s489,s1051,s1267,s56,s57,s142,s1244,s252,s250,s1279,s1266,s1237,s1296,s1294,s1280,s1248,s48,s647,s1215,s1265,s1253]) ).

cnf(s1298,plain,
    ( spl0_7
    | spl0_2
    | ~ spl0_13 ),
    inference(rat,[],[s1296,s1294,s1248,s36,s48,s1293,s1262,s54,s1267,s1206,s14,s1218,s489,s1162,s3,s5,s1261,s1219,s1265,s1297,s1253,s1260]) ).

cnf(s1299,plain,
    ( spl0_2
    | ~ spl0_13 ),
    inference(rat,[],[s513,s1051,s56,s57,s142,s252,s1280,s646,s43,s1268,s4,s489,s1267,s1244,s250,s1279,s1266,s1237,s1298,s1240,s1265,s1253]) ).

cnf(s1300,plain,
    ( spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s250,s1244,s1263,s1267,s14,s489,s1162,s5,s1261,s1255,s1299,s1253,s1260]) ).

cnf(s1301,plain,
    ( ~ spl0_21
    | ~ spl0_13 ),
    inference(rat,[],[s895,s1051,s56,s57,s142,s252,s1279,s1300,s1280,s646,s43,s1257,s1299,s1240,s1253]) ).

cnf(s1302,plain,
    ~ spl0_13,
    inference(rat,[],[s1301,s1265]) ).

cnf(s1303,plain,
    spl0_18,
    inference(rat,[],[s1191,s1253,s1302]) ).

cnf(s1304,plain,
    spl0_14,
    inference(rat,[],[s6,s1253,s1302]) ).

cnf(s1305,plain,
    ~ spl0_33,
    inference(rat,[],[s1197,s1303]) ).

cnf(s1307,plain,
    spl0_58,
    inference(rat,[],[s1206,s1303]) ).

cnf(s1308,plain,
    spl0_38,
    inference(rat,[],[s1267,s1303]) ).

cnf(s1310,plain,
    ~ spl0_63,
    inference(rat,[],[s1208,s1304]) ).

cnf(s1311,plain,
    ~ spl0_53,
    inference(rat,[],[s33,s1302,s1253,s1305]) ).

cnf(s1312,plain,
    ~ spl0_118,
    inference(rat,[],[s1244,s1308]) ).

cnf(s1316,plain,
    ~ spl0_37,
    inference(rat,[],[s1205,s1311]) ).

cnf(s1317,plain,
    ~ spl0_57,
    inference(rat,[],[s36,s1253,s1307,s1316]) ).

cnf(s1319,plain,
    spl0_172,
    inference(rat,[],[s134,s1317]) ).

cnf(s1320,plain,
    spl0_171,
    inference(rat,[],[s133,s1317]) ).

cnf(s1321,plain,
    ( spl0_8
    | spl0_7 ),
    inference(rat,[],[s48,s1248,s1262,s1096,s2,s3,s1163,s1104,s1193,s120,s195,s196,s967,s27,s250,s107,s173,s1207,s1263,s249,s41,s14,s1288,s1162,s5,s1260,s1310,s1312,s1303,s1308,s1253]) ).

cnf(s1322,plain,
    spl0_7,
    inference(rat,[],[s1321,s1261]) ).

cnf(s1324,plain,
    ~ spl0_11,
    inference(rat,[],[s1235,s1319,s1320,s1322]) ).

cnf(s1326,plain,
    ( ~ spl0_140
    | ~ spl0_6 ),
    inference(rat,[],[s1104,s967,s107,s173,s1308]) ).

cnf(s1327,plain,
    ~ spl0_21,
    inference(rat,[],[s3,s1204,s1015,s22,s4,s1037,s1288,s108,s174,s249,s1326,s647,s1194,s1253,s1316,s1324,s1303,s1310,s1302]) ).

cnf(s1329,plain,
    ( ~ spl0_169
    | ~ spl0_260 ),
    inference(rat,[],[s841,s843,s1303,s1322]) ).

cnf(s1330,plain,
    ~ spl0_22,
    inference(rat,[],[s1329,s131,s221]) ).

cnf(s1331,plain,
    spl0_23,
    inference(rat,[],[s11,s1302,s1253,s1330]) ).

cnf(s1332,plain,
    ~ spl0_8,
    inference(rat,[],[s793,s1324,s1331]) ).

cnf(s1333,plain,
    spl0_48,
    inference(rat,[],[s27,s1327,s1253,s1332]) ).

cnf(s1334,plain,
    ~ spl0_256,
    inference(rat,[],[s217,s1333]) ).

cnf(s1335,plain,
    ~ spl0_167,
    inference(rat,[],[s129,s1333]) ).

cnf(s1336,plain,
    ~ spl0_166,
    inference(rat,[],[s128,s1333]) ).

cnf(s1337,plain,
    ~ spl0_9,
    inference(rat,[],[s1193,s1333]) ).

cnf(s1338,plain,
    ~ spl0_47,
    inference(rat,[],[s717,s100,s101,s170,s1331]) ).

cnf(s1339,plain,
    spl0_10,
    inference(rat,[],[s3,s1332,s1253,s1337]) ).

cnf(s1340,plain,
    spl0_16,
    inference(rat,[],[s26,s1332,s1253,s1338]) ).

cnf(s1342,plain,
    ~ spl0_335,
    inference(rat,[],[s912,s1336,s1334,s1339]) ).

cnf(s1346,plain,
    $false,
    inference(rat,[],[s440,s1335,s1334,s1340,s1342]) ).

fof(f4995,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1346]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN447-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n009.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:04:34 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.33  % (3186581)Will run a generic schedule for satisfiability detection.
% 0.18/0.33  % (3186591)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=524578086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.33  % (3186587)% WARNING: option uhcvi not known.
% 0.18/0.33  % (3186586)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3338171429_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.33  % (3186587)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1827458273:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.33  % (3186588)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1874687302:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.33  % (3186589)dis+10_1_sil=32000:sp=arity:random_seed=2764215682:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.33  % (3186590)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2730915649:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.33  % (3186592)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4085691248:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.33  % Detected minimum model sizes of [1]
% 0.18/0.33  % Detected maximum model sizes of [64]
% 0.18/0.33  % TRYING [1]
% 0.18/0.33  % TRYING [2]
% 0.18/0.33  % TRYING [3]
% 0.18/0.33  % TRYING [4]
% 0.18/0.33  % (3186591)Instruction limit reached! 
% 0.18/0.33  % (3186591)------------------------------
% 0.18/0.33  % (3186591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.33  % (3186591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.33  % (3186591)CaDiCaL version: 2.1.3
% 0.18/0.33  % (3186591)Termination reason: Instruction limit
% 0.18/0.33  % (3186591)Termination phase: Saturation
% 0.18/0.33  % (3186591)Time elapsed: 0.047 s
% 0.18/0.33  % (3186591)Peak memory usage: 14 MB
% 0.18/0.33  % (3186591)Instructions burned: 133 (million)
% 0.18/0.33  % (3186600)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=902140270:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.33  % TRYING [5]
% 0.18/0.33  % Detected minimum model sizes of [1]
% 0.18/0.33  % Detected maximum model sizes of [64]
% 0.18/0.33  % TRYING [1]
% 0.18/0.33  % TRYING [2]
% 0.18/0.33  % TRYING [3]
% 0.18/0.33  % (3186592) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3186581-3186592"...
% 0.18/0.33  % (3186587) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3186581-3186587"...
% 0.18/0.33  % TRYING [4]
% 0.18/0.33  % (3186589)Instruction limit reached! 
% 0.18/0.33  % (3186589)------------------------------
% 0.18/0.33  % (3186589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.33  % (3186589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.33  % (3186589)CaDiCaL version: 2.1.3
% 0.18/0.33  % (3186589)Termination reason: Instruction limit
% 0.18/0.33  % (3186589)Termination phase: Saturation
% 0.18/0.33  % (3186589)Time elapsed: 0.064 s
% 0.18/0.33  % (3186589)Peak memory usage: 13 MB
% 0.18/0.33  % (3186589)Instructions burned: 103 (million)
% 0.18/0.33  % (3186592)...printing done.
% 0.18/0.33  % (3186592)Refutation found. Thanks to Tanya!
% 0.18/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.33  % (3186592)------------------------------
% 0.18/0.33  % (3186592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.33  % (3186592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.33  % (3186592)CaDiCaL version: 2.1.3
% 0.18/0.33  % (3186592)Termination reason: Refutation
% 0.18/0.33  % (3186592)Time elapsed: 0.066 s
% 0.18/0.33  % (3186592)Peak memory usage: 14 MB
% 0.18/0.33  % (3186592)Instructions burned: 109 (million)
% 0.18/0.33  % (3186581)Success in time 0.105 s
% 0.18/0.34  % Vampire exiting
%------------------------------------------------------------------------------