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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN478-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:55:32 PM UTC 2026

% Result   : Unsatisfiable 2.91s 1.12s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  273
% Syntax   : Number of formulae    :  927 (  31 unt; 147 def)
%            Number of atoms       : 2872 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3345 (1400   ~;1798   |;   0   &)
%                                         ( 147 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  179 ( 178 usr; 175 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  138 (   0 sgn 138   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp26
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( hskp20
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f5,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f26,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f32,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f38,negated_conjecture,
    ( hskp28
    | hskp1
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f42,negated_conjecture,
    ( hskp14
    | hskp4
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f44,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( hskp18
    | hskp5
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( hskp6
    | hskp0
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp30
    | c3_1(a1372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f56,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f63,negated_conjecture,
    ( ~ hskp22
    | c0_1(a1356) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1356) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f66,negated_conjecture,
    ( ~ hskp20
    | c1_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f70,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1339) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp17
    | c2_1(a1334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1331) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1331) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp14
    | c0_1(a1330) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp11
    | c0_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp11
    | c3_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f83,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1320) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1319) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp6
    | c3_1(a1315) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1314) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1312) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp3
    | c0_1(a1311) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp3
    | c2_1(a1311) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp2
    | c1_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1308) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a1356)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f104,negated_conjecture,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f106,negated_conjecture,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c0_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a1314)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c3_1(a1314)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c1_1(a1311)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c2_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c0_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c1_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c2_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp2
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp4
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp29
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp8
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp4
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp16
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp22
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp22
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp30
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp9
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp22
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

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

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

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

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

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

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

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

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

fof(f202,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f205]) ).

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

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

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

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

fof(f215,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f218]) ).

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

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

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

fof(f225,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f227,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f198,f225,f208,f205,f202]) ).

fof(f229,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f232,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f197,f235,f208,f232,f229]) ).

fof(f239,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f196,f239,f208,f225,f215]) ).

fof(f243,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f250,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f253,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f255,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f194,f218,f208,f253,f250]) ).

fof(f257,definition,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f260,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f262,plain,
    ( spl0_17
    | spl0_9
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f193,f260,f208,f229,f257]) ).

fof(f264,definition,
    ( spl0_19
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f268,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f271,definition,
    ( spl0_21
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f274,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f275,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f274]) ).

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

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

fof(f281,definition,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f282,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f284,definition,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f285,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f286,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f190,f284,f208,f281,f278]) ).

fof(f288,definition,
    ( spl0_26
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f290,plain,
    ( spl0_26
    | spl0_7
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f189,f211,f208,f221,f288]) ).

fof(f292,definition,
    ( spl0_27
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f297,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f188,f211,f208,f295,f292]) ).

fof(f299,definition,
    ( spl0_29
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f303,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f306,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f307,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f187,f305,f208,f302,f299]) ).

fof(f309,definition,
    ( spl0_32
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_34
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f323,definition,
    ( spl0_36
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f325,plain,
    ( spl0_36
    | spl0_16
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f184,f274,f208,f253,f323]) ).

fof(f327,plain,
    ( spl0_29
    | spl0_12
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f182,f218,f208,f239,f299]) ).

fof(f329,definition,
    ( spl0_37
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f331,plain,
    ( spl0_37
    | spl0_11
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f181,f260,f208,f235,f329]) ).

fof(f333,definition,
    ( spl0_38
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f336,definition,
    ( spl0_39
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f337,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f340,definition,
    ( spl0_40
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f342,plain,
    ( spl0_40
    | spl0_1
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f179,f232,f208,f202,f340]) ).

fof(f344,definition,
    ( spl0_41
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f351,definition,
    ( spl0_43
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f356,plain,
    ( spl0_43
    | spl0_39
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f177,f354,f208,f336,f351]) ).

fof(f358,definition,
    ( spl0_45
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_45
    | spl0_9
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f176,f354,f208,f229,f358]) ).

fof(f362,definition,
    ( spl0_46
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f364,plain,
    ( spl0_46
    | spl0_17
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f175,f253,f208,f257,f362]) ).

fof(f366,definition,
    ( spl0_47
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f369,definition,
    ( spl0_48
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f370,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f371,plain,
    ( spl0_47
    | spl0_48
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f174,f205,f208,f369,f366]) ).

fof(f373,definition,
    ( spl0_49
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f377,definition,
    ( spl0_50
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f380,plain,
    ( spl0_27
    | spl0_15
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f171,f208,f257,f250,f292]) ).

fof(f381,plain,
    ( spl0_46
    | spl0_48
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f170,f239,f208,f369,f362]) ).

fof(f382,plain,
    ( spl0_49
    | spl0_48
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f169,f202,f208,f369,f373]) ).

fof(f385,definition,
    ( spl0_51
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f387,plain,
    ( spl0_27
    | spl0_51
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f167,f267,f208,f385,f292]) ).

fof(f388,plain,
    ( spl0_45
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f166,f274,f208,f358]) ).

fof(f389,plain,
    ( spl0_49
    | spl0_46
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f165,f295,f208,f362,f373]) ).

fof(f392,definition,
    ( spl0_52
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_53
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_52
    | spl0_53
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f163,f295,f208,f395,f392]) ).

fof(f402,plain,
    ( spl0_47
    | spl0_38
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f161,f218,f208,f333,f366]) ).

fof(f404,definition,
    ( spl0_55
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_55
    | spl0_51
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f160,f302,f208,f385,f404]) ).

fof(f408,definition,
    ( spl0_56
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_56
    | spl0_51
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f159,f302,f208,f385,f408]) ).

fof(f418,definition,
    ( spl0_58
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f420,plain,
    ( spl0_21
    | spl0_58
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f155,f319,f208,f418,f271]) ).

fof(f421,plain,
    ( spl0_45
    | spl0_38
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f154,f260,f208,f333,f358]) ).

fof(f423,plain,
    ( spl0_21
    | spl0_40
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f152,f239,f208,f340,f271]) ).

fof(f425,definition,
    ( spl0_59
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f436,plain,
    ( spl0_41
    | spl0_47
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f148,f336,f208,f366,f344]) ).

fof(f437,plain,
    ( spl0_52
    | spl0_19
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f147,f336,f208,f264,f392]) ).

fof(f438,plain,
    ( spl0_43
    | spl0_38
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f146,f202,f208,f333,f351]) ).

fof(f439,plain,
    ( spl0_49
    | spl0_26
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f145,f281,f208,f288,f373]) ).

fof(f440,plain,
    ( spl0_56
    | spl0_40
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f144,f281,f208,f340,f408]) ).

fof(f443,plain,
    ( spl0_59
    | spl0_56
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f208,f243,f408,f425]) ).

fof(f447,definition,
    ( spl0_62
  <=> c2_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f449,plain,
    ( ~ spl0_32
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f139,f447,f309]) ).

fof(f451,definition,
    ( spl0_63
  <=> c1_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f452,plain,
    ( ~ c1_1(a1306)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( ~ spl0_32
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f138,f451,f309]) ).

fof(f455,definition,
    ( spl0_64
  <=> c0_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f457,plain,
    ( ~ spl0_32
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f137,f455,f309]) ).

fof(f460,definition,
    ( spl0_65
  <=> c2_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f462,plain,
    ( ~ spl0_59
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f136,f460,f425]) ).

fof(f464,definition,
    ( spl0_66
  <=> c1_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f465,plain,
    ( ~ c1_1(a1308)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f466,plain,
    ( ~ spl0_59
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f135,f464,f425]) ).

fof(f469,definition,
    ( spl0_67
  <=> c2_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f471,plain,
    ( ~ spl0_56
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f134,f469,f408]) ).

fof(f474,definition,
    ( spl0_68
  <=> c1_1(a1311) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f475,plain,
    ( ~ c1_1(a1311)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f476,plain,
    ( ~ spl0_50
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f133,f474,f377]) ).

fof(f479,definition,
    ( spl0_69
  <=> c3_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ c3_1(a1312)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( ~ spl0_40
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f132,f479,f340]) ).

fof(f483,definition,
    ( spl0_70
  <=> c1_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f484,plain,
    ( ~ c1_1(a1312)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( ~ spl0_40
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f131,f483,f340]) ).

fof(f488,definition,
    ( spl0_71
  <=> c3_1(a1314) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ spl0_26
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f130,f488,f288]) ).

fof(f492,definition,
    ( spl0_72
  <=> c0_1(a1314) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ spl0_26
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f129,f492,f288]) ).

fof(f497,definition,
    ( spl0_73
  <=> c1_1(a1315) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f498,plain,
    ( ~ c1_1(a1315)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( ~ spl0_49
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f128,f497,f373]) ).

fof(f501,definition,
    ( spl0_74
  <=> c0_1(a1315) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f503,plain,
    ( ~ spl0_49
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f127,f501,f373]) ).

fof(f506,definition,
    ( spl0_75
  <=> c3_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f507,plain,
    ( ~ c3_1(a1316)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f508,plain,
    ( ~ spl0_41
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f126,f506,f344]) ).

fof(f510,definition,
    ( spl0_76
  <=> c2_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ spl0_41
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f125,f510,f344]) ).

fof(f514,definition,
    ( spl0_77
  <=> c0_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f516,plain,
    ( ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f124,f514,f344]) ).

fof(f519,definition,
    ( spl0_78
  <=> c3_1(a1319) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f520,plain,
    ( ~ c3_1(a1319)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( ~ spl0_47
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f123,f519,f366]) ).

fof(f523,definition,
    ( spl0_79
  <=> c0_1(a1319) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ spl0_47
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f122,f523,f366]) ).

fof(f528,definition,
    ( spl0_80
  <=> c1_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c1_1(a1320)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f121,f528,f362]) ).

fof(f532,definition,
    ( spl0_81
  <=> c0_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ spl0_46
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f120,f532,f362]) ).

fof(f542,definition,
    ( spl0_83
  <=> c1_1(a1324) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ c1_1(a1324)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f118,f542,f292]) ).

fof(f547,definition,
    ( spl0_84
  <=> c0_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f117,f547,f323]) ).

fof(f552,definition,
    ( spl0_85
  <=> c3_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ c3_1(a1326)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f554,plain,
    ( ~ spl0_45
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f116,f552,f358]) ).

fof(f556,definition,
    ( spl0_86
  <=> c2_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ spl0_45
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f115,f556,f358]) ).

fof(f560,definition,
    ( spl0_87
  <=> c1_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f561,plain,
    ( ~ c1_1(a1326)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f562,plain,
    ( ~ spl0_45
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f114,f560,f358]) ).

fof(f565,definition,
    ( spl0_88
  <=> c2_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ spl0_38
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f113,f565,f333]) ).

fof(f569,definition,
    ( spl0_89
  <=> c1_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f570,plain,
    ( ~ c1_1(a1330)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f112,f569,f333]) ).

fof(f574,definition,
    ( spl0_90
  <=> c3_1(a1331) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ c3_1(a1331)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f576,plain,
    ( ~ spl0_43
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f111,f574,f351]) ).

fof(f579,definition,
    ( spl0_91
  <=> c3_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f580,plain,
    ( ~ c3_1(a1333)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f110,f579,f418]) ).

fof(f583,definition,
    ( spl0_92
  <=> c2_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_58
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f109,f583,f418]) ).

fof(f588,definition,
    ( spl0_93
  <=> c0_1(a1334) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ spl0_21
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f108,f588,f271]) ).

fof(f593,definition,
    ( spl0_94
  <=> c2_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_52
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f107,f593,f392]) ).

fof(f597,definition,
    ( spl0_95
  <=> c0_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ spl0_52
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f106,f597,f392]) ).

fof(f607,definition,
    ( spl0_97
  <=> c0_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ spl0_37
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f104,f607,f329]) ).

fof(f621,definition,
    ( spl0_100
  <=> c3_1(a1356) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f101,f621,f385]) ).

fof(f626,definition,
    ( spl0_101
  <=> c3_1(a1359) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c3_1(a1359)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f100,f626,f404]) ).

fof(f630,definition,
    ( spl0_102
  <=> c1_1(a1359) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c1_1(a1359)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( ~ spl0_55
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f99,f630,f404]) ).

fof(f634,definition,
    ( spl0_103
  <=> c0_1(a1359) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ spl0_55
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f98,f634,f404]) ).

fof(f654,definition,
    ( spl0_108
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f657,definition,
    ( spl0_109
  <=> c3_1(a1411) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ c3_1(a1411)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f659,plain,
    ( ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f94,f657,f654]) ).

fof(f661,definition,
    ( spl0_110
  <=> c2_1(a1411) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f663,plain,
    ( ~ spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f93,f661,f654]) ).

fof(f665,definition,
    ( spl0_111
  <=> c3_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f666,plain,
    ( c3_1(a1308)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_111
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f92,f425,f665]) ).

fof(f669,definition,
    ( spl0_112
  <=> c3_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f670,plain,
    ( c3_1(a1309)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f671,plain,
    ( spl0_112
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f91,f408,f669]) ).

fof(f673,definition,
    ( spl0_113
  <=> c1_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f674,plain,
    ( c1_1(a1309)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f675,plain,
    ( spl0_113
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f90,f408,f673]) ).

fof(f677,definition,
    ( spl0_114
  <=> c2_1(a1311) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f679,plain,
    ( spl0_114
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f89,f377,f677]) ).

fof(f681,definition,
    ( spl0_115
  <=> c0_1(a1311) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f683,plain,
    ( spl0_115
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f88,f377,f681]) ).

fof(f685,definition,
    ( spl0_116
  <=> c0_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f687,plain,
    ( spl0_116
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f87,f340,f685]) ).

fof(f689,definition,
    ( spl0_117
  <=> c1_1(a1314) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f690,plain,
    ( c1_1(a1314)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f691,plain,
    ( spl0_117
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f86,f288,f689]) ).

fof(f693,definition,
    ( spl0_118
  <=> c3_1(a1315) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f694,plain,
    ( c3_1(a1315)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_118
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f85,f373,f693]) ).

fof(f697,definition,
    ( spl0_119
  <=> c2_1(a1319) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f699,plain,
    ( spl0_119
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f84,f366,f697]) ).

fof(f701,definition,
    ( spl0_120
  <=> c2_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f703,plain,
    ( spl0_120
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f83,f362,f701]) ).

fof(f713,definition,
    ( spl0_123
  <=> c3_1(a1324) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_123
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f80,f292,f713]) ).

fof(f717,definition,
    ( spl0_124
  <=> c0_1(a1324) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f719,plain,
    ( spl0_124
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f79,f292,f717]) ).

fof(f721,definition,
    ( spl0_125
  <=> c3_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f722,plain,
    ( c3_1(a1325)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f723,plain,
    ( spl0_125
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f78,f323,f721]) ).

fof(f725,definition,
    ( spl0_126
  <=> c1_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f726,plain,
    ( c1_1(a1325)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_126
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f77,f323,f725]) ).

fof(f729,definition,
    ( spl0_127
  <=> c0_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f731,plain,
    ( spl0_127
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f76,f333,f729]) ).

fof(f733,definition,
    ( spl0_128
  <=> c2_1(a1331) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f735,plain,
    ( spl0_128
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f75,f351,f733]) ).

fof(f737,definition,
    ( spl0_129
  <=> c1_1(a1331) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f738,plain,
    ( c1_1(a1331)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( spl0_129
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f74,f351,f737]) ).

fof(f741,definition,
    ( spl0_130
  <=> c1_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f742,plain,
    ( c1_1(a1333)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( spl0_130
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f73,f418,f741]) ).

fof(f745,definition,
    ( spl0_131
  <=> c3_1(a1334) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f746,plain,
    ( c3_1(a1334)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f747,plain,
    ( spl0_131
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f72,f271,f745]) ).

fof(f749,definition,
    ( spl0_132
  <=> c2_1(a1334) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f751,plain,
    ( spl0_132
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f71,f271,f749]) ).

fof(f753,definition,
    ( spl0_133
  <=> c1_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f754,plain,
    ( c1_1(a1339)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f755,plain,
    ( spl0_133
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f70,f392,f753]) ).

fof(f765,definition,
    ( spl0_136
  <=> c2_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f767,plain,
    ( spl0_136
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f67,f329,f765]) ).

fof(f769,definition,
    ( spl0_137
  <=> c1_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f770,plain,
    ( c1_1(a1348)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( spl0_137
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f66,f329,f769]) ).

fof(f777,definition,
    ( spl0_139
  <=> c1_1(a1356) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f778,plain,
    ( c1_1(a1356)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f779,plain,
    ( spl0_139
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f64,f385,f777]) ).

fof(f781,definition,
    ( spl0_140
  <=> c0_1(a1356) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_140
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f63,f385,f781]) ).

fof(f797,definition,
    ( spl0_144
  <=> c0_1(a1411) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_144
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f59,f654,f797]) ).

fof(f801,definition,
    ( spl0_145
  <=> c2_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f804,plain,
    ( spl0_145
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f58,f299,f801]) ).

fof(f806,definition,
    ( spl0_146
  <=> c1_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f807,plain,
    ( c1_1(a1307)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f808,plain,
    ( spl0_146
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f57,f299,f806]) ).

fof(f810,definition,
    ( spl0_147
  <=> c0_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f812,plain,
    ( spl0_147
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f56,f299,f810]) ).

fof(f827,definition,
    ( spl0_151
  <=> c3_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f828,plain,
    ( c3_1(a1338)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( spl0_151
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f52,f264,f827]) ).

fof(f832,definition,
    ( spl0_152
  <=> c2_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f834,plain,
    ( spl0_152
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f51,f264,f832]) ).

fof(f836,definition,
    ( spl0_153
  <=> c1_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f837,plain,
    ( c1_1(a1338)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f838,plain,
    ( spl0_153
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f50,f264,f836]) ).

fof(f840,definition,
    ( spl0_154
  <=> c3_1(a1372) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f843,plain,
    ( spl0_154
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f49,f395,f840]) ).

fof(f845,definition,
    ( spl0_155
  <=> c1_1(a1372) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f846,plain,
    ( c1_1(a1372)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f847,plain,
    ( spl0_155
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f48,f395,f845]) ).

fof(f849,definition,
    ( spl0_156
  <=> c0_1(a1372) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f851,plain,
    ( spl0_156
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f47,f395,f849]) ).

fof(f852,plain,
    ( spl0_55
    | spl0_32
    | spl0_49 ),
    inference(avatar_split_clause,[],[f46,f373,f309,f404]) ).

fof(f853,plain,
    ( spl0_58
    | spl0_26
    | spl0_52 ),
    inference(avatar_split_clause,[],[f45,f392,f288,f418]) ).

fof(f854,plain,
    ( spl0_55
    | spl0_59
    | spl0_56 ),
    inference(avatar_split_clause,[],[f44,f408,f425,f404]) ).

fof(f857,plain,
    ( spl0_59
    | spl0_40
    | spl0_38 ),
    inference(avatar_split_clause,[],[f42,f333,f340,f425]) ).

fof(f861,plain,
    ( spl0_41
    | spl0_40
    | spl0_50 ),
    inference(avatar_split_clause,[],[f39,f377,f340,f344]) ).

fof(f862,plain,
    ( spl0_41
    | spl0_59
    | spl0_34 ),
    inference(avatar_split_clause,[],[f38,f316,f425,f344]) ).

fof(f865,plain,
    ( spl0_46
    | spl0_56
    | spl0_53 ),
    inference(avatar_split_clause,[],[f35,f395,f408,f362]) ).

fof(f866,plain,
    ( spl0_52
    | spl0_38
    | spl0_29 ),
    inference(avatar_split_clause,[],[f34,f299,f333,f392]) ).

fof(f869,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f32,f425,f208]) ).

fof(f875,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f26,f344,f208]) ).

fof(f896,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f5,f316,f208]) ).

fof(f899,plain,
    ( spl0_52
    | spl0_37 ),
    inference(avatar_split_clause,[],[f2,f329,f392]) ).

fof(f900,plain,
    ( spl0_36
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1,f654,f323]) ).

fof(f904,definition,
    ( spl0_157
  <=> c2_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f908,plain,
    ( c2_1(a1306)
    | ~ c3_1(a1306)
    | ~ spl0_5
    | spl0_63 ),
    inference(resolution,[],[f216,f452]) ).

fof(f911,definition,
    ( spl0_158
  <=> c3_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f912,plain,
    ( ~ c3_1(a1330)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f916,definition,
    ( spl0_159
  <=> c3_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ spl0_159
    | spl0_62
    | ~ spl0_5
    | spl0_63 ),
    inference(avatar_split_clause,[],[f908,f451,f215,f447,f916]) ).

fof(f925,definition,
    ( spl0_160
  <=> c0_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f929,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(resolution,[],[f233,f216]) ).

fof(f930,plain,
    ( c0_1(a1348)
    | ~ c3_1(a1348)
    | ~ spl0_10
    | ~ spl0_137 ),
    inference(resolution,[],[f233,f770]) ).

fof(f931,plain,
    ( c0_1(a1325)
    | ~ c3_1(a1325)
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(resolution,[],[f233,f726]) ).

fof(f933,plain,
    ( c0_1(a1309)
    | ~ c3_1(a1309)
    | ~ spl0_10
    | ~ spl0_113 ),
    inference(resolution,[],[f233,f674]) ).

fof(f934,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f929]) ).

fof(f940,definition,
    ( spl0_161
  <=> c3_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ c3_1(a1348)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f944,plain,
    ( spl0_9
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f934,f232,f215,f229]) ).

fof(f947,plain,
    ( ~ c0_1(a1330)
    | ~ c3_1(a1330)
    | ~ spl0_11
    | spl0_89 ),
    inference(resolution,[],[f236,f570]) ).

fof(f950,plain,
    ( ~ c0_1(a1330)
    | c2_1(a1330)
    | ~ spl0_12
    | spl0_158 ),
    inference(resolution,[],[f240,f912]) ).

fof(f956,definition,
    ( spl0_162
  <=> c2_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f961,plain,
    ( spl0_88
    | ~ spl0_127
    | ~ spl0_12
    | spl0_158 ),
    inference(avatar_split_clause,[],[f950,f911,f239,f729,f565]) ).

fof(f963,plain,
    ( ~ spl0_161
    | spl0_97
    | ~ spl0_10
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f930,f769,f232,f607,f940]) ).

fof(f964,plain,
    ( ~ spl0_125
    | spl0_84
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f931,f725,f232,f547,f721]) ).

fof(f972,definition,
    ( spl0_163
  <=> c0_1(a1331) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f978,plain,
    ( ~ c0_1(a1411)
    | c2_1(a1411)
    | ~ spl0_12
    | spl0_109 ),
    inference(resolution,[],[f658,f240]) ).

fof(f981,plain,
    ( spl0_110
    | ~ spl0_144
    | ~ spl0_12
    | spl0_109 ),
    inference(avatar_split_clause,[],[f978,f657,f239,f797,f661]) ).

fof(f984,plain,
    ( ~ c0_1(a1312)
    | c2_1(a1312)
    | ~ spl0_12
    | spl0_69 ),
    inference(resolution,[],[f480,f240]) ).

fof(f985,plain,
    ( spl0_162
    | ~ spl0_116
    | ~ spl0_12
    | spl0_69 ),
    inference(avatar_split_clause,[],[f984,f479,f239,f685,f956]) ).

fof(f1011,plain,
    ( c2_1(a1308)
    | ~ c3_1(a1308)
    | ~ spl0_5
    | spl0_66 ),
    inference(resolution,[],[f216,f465]) ).

fof(f1016,plain,
    ( ~ spl0_111
    | spl0_65
    | ~ spl0_5
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1011,f464,f215,f460,f665]) ).

fof(f1020,definition,
    ( spl0_165
  <=> c2_1(a1359) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1027,plain,
    ( ~ c0_1(a1312)
    | ~ c2_1(a1312)
    | ~ spl0_8
    | spl0_70 ),
    inference(resolution,[],[f226,f484]) ).

fof(f1038,plain,
    ( ~ c2_1(a1348)
    | c0_1(a1348)
    | ~ spl0_1
    | spl0_161 ),
    inference(resolution,[],[f203,f941]) ).

fof(f1039,plain,
    ( ~ c2_1(a1331)
    | c0_1(a1331)
    | ~ spl0_1
    | spl0_90 ),
    inference(resolution,[],[f203,f575]) ).

fof(f1041,plain,
    ( ~ c2_1(a1319)
    | c0_1(a1319)
    | ~ spl0_1
    | spl0_78 ),
    inference(resolution,[],[f203,f520]) ).

fof(f1056,plain,
    ( spl0_163
    | ~ spl0_128
    | ~ spl0_1
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1039,f574,f202,f733,f972]) ).

fof(f1061,plain,
    ( c3_1(a1331)
    | ~ c0_1(a1331)
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f219,f738]) ).

fof(f1064,plain,
    ( ~ spl0_163
    | spl0_90
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1061,f737,f218,f574,f972]) ).

fof(f1069,plain,
    ( c2_1(a1309)
    | c0_1(a1309)
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(resolution,[],[f230,f670]) ).

fof(f1077,plain,
    ( c2_1(a1359)
    | c0_1(a1359)
    | ~ spl0_13
    | spl0_102 ),
    inference(resolution,[],[f244,f631]) ).

fof(f1081,plain,
    ( spl0_103
    | spl0_165
    | ~ spl0_13
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1077,f630,f243,f1020,f634]) ).

fof(f1083,definition,
    ( spl0_166
  <=> c0_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1087,plain,
    ( spl0_160
    | spl0_67
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1069,f669,f229,f469,f925]) ).

fof(f1089,plain,
    ( c2_1(a1315)
    | ~ c3_1(a1315)
    | ~ spl0_5
    | spl0_73 ),
    inference(resolution,[],[f498,f216]) ).

fof(f1092,definition,
    ( spl0_167
  <=> c2_1(a1315) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1094,plain,
    ( ~ spl0_118
    | spl0_167
    | ~ spl0_5
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1089,f497,f215,f1092,f693]) ).

fof(f1113,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f251,f219]) ).

fof(f1119,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1113]) ).

fof(f1128,plain,
    ( c3_1(a1331)
    | c0_1(a1331)
    | ~ spl0_16
    | ~ spl0_129 ),
    inference(resolution,[],[f254,f738]) ).

fof(f1130,plain,
    ( c3_1(a1314)
    | c0_1(a1314)
    | ~ spl0_16
    | ~ spl0_117 ),
    inference(resolution,[],[f254,f690]) ).

fof(f1134,plain,
    ( spl0_163
    | spl0_90
    | ~ spl0_16
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1128,f737,f253,f574,f972]) ).

fof(f1137,definition,
    ( spl0_168
  <=> c3_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1138,plain,
    ( c3_1(a1339)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1149,plain,
    ( c3_1(a1331)
    | ~ c2_1(a1331)
    | ~ spl0_7
    | ~ spl0_129 ),
    inference(resolution,[],[f222,f738]) ).

fof(f1152,plain,
    ( ~ spl0_128
    | spl0_90
    | ~ spl0_7
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1149,f737,f221,f574,f733]) ).

fof(f1156,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f258,f216]) ).

fof(f1158,plain,
    ( c2_1(a1339)
    | c0_1(a1339)
    | ~ spl0_17
    | ~ spl0_133 ),
    inference(resolution,[],[f258,f754]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1156]) ).

fof(f1165,plain,
    ( spl0_95
    | spl0_94
    | ~ spl0_17
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1158,f753,f257,f593,f597]) ).

fof(f1166,plain,
    ( spl0_9
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1162,f257,f215,f229]) ).

fof(f1167,plain,
    ( ~ c0_1(a1324)
    | ~ c3_1(a1324)
    | ~ spl0_11
    | spl0_83 ),
    inference(resolution,[],[f543,f236]) ).

fof(f1181,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(resolution,[],[f251,f254]) ).

fof(f1186,plain,
    ( c3_1(a1312)
    | c2_1(a1312)
    | ~ spl0_15
    | spl0_70 ),
    inference(resolution,[],[f251,f484]) ).

fof(f1188,plain,
    ( c3_1(a1359)
    | c2_1(a1359)
    | ~ spl0_15
    | spl0_102 ),
    inference(resolution,[],[f251,f631]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1181]) ).

fof(f1192,plain,
    ( spl0_165
    | spl0_101
    | ~ spl0_15
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1188,f630,f250,f626,f1020]) ).

fof(f1194,plain,
    ( spl0_48
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1190,f253,f250,f369]) ).

fof(f1200,plain,
    ( c3_1(a1339)
    | c2_1(a1339)
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(resolution,[],[f261,f754]) ).

fof(f1217,plain,
    ( ~ c3_1(a1348)
    | ~ c2_1(a1348)
    | ~ spl0_20
    | ~ spl0_137 ),
    inference(resolution,[],[f268,f770]) ).

fof(f1239,plain,
    ( c3_1(a1356)
    | ~ c0_1(a1356)
    | ~ spl0_6
    | ~ spl0_139 ),
    inference(resolution,[],[f778,f219]) ).

fof(f1241,plain,
    ( ~ spl0_140
    | spl0_100
    | ~ spl0_6
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1239,f777,f218,f621,f781]) ).

fof(f1253,plain,
    ( ~ c3_1(a1338)
    | ~ c2_1(a1338)
    | ~ spl0_20
    | ~ spl0_153 ),
    inference(resolution,[],[f268,f837]) ).

fof(f1264,plain,
    ( ~ spl0_152
    | ~ spl0_151
    | ~ spl0_20
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1253,f836,f267,f827,f832]) ).

fof(f1281,definition,
    ( spl0_171
  <=> c3_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1288,plain,
    ( ~ c3_1(a1307)
    | ~ c0_1(a1307)
    | ~ spl0_4
    | ~ spl0_146 ),
    inference(resolution,[],[f212,f807]) ).

fof(f1293,plain,
    ( ~ c3_1(a1309)
    | ~ c0_1(a1309)
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(resolution,[],[f212,f674]) ).

fof(f1299,plain,
    ( ~ spl0_147
    | ~ spl0_171
    | ~ spl0_4
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1288,f806,f211,f1281,f810]) ).

fof(f1301,definition,
    ( spl0_172
  <=> c0_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1311,plain,
    ( c2_1(a1325)
    | c0_1(a1325)
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(resolution,[],[f230,f722]) ).

fof(f1315,plain,
    ( c2_1(a1308)
    | c0_1(a1308)
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(resolution,[],[f230,f666]) ).

fof(f1318,plain,
    ( spl0_166
    | spl0_65
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1315,f665,f229,f460,f1083]) ).

fof(f1320,plain,
    ( spl0_84
    | spl0_157
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1311,f721,f229,f904,f547]) ).

fof(f1322,plain,
    ( ~ c2_1(a1338)
    | ~ c0_1(a1338)
    | ~ spl0_22
    | ~ spl0_153 ),
    inference(resolution,[],[f275,f837]) ).

fof(f1328,plain,
    ( ~ spl0_172
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1322,f836,f274,f832,f1301]) ).

fof(f1331,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_23 ),
    inference(resolution,[],[f279,f261]) ).

fof(f1332,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(resolution,[],[f279,f222]) ).

fof(f1340,plain,
    ( c3_1(a1306)
    | c0_1(a1306)
    | ~ spl0_23
    | spl0_63 ),
    inference(resolution,[],[f279,f452]) ).

fof(f1342,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1332]) ).

fof(f1343,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1331]) ).

fof(f1348,definition,
    ( spl0_173
  <=> c3_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1351,plain,
    ( spl0_48
    | ~ spl0_18
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1343,f278,f260,f369]) ).

fof(f1379,plain,
    ( c3_1(a1312)
    | ~ c2_1(a1312)
    | ~ spl0_25
    | spl0_70 ),
    inference(resolution,[],[f285,f484]) ).

fof(f1402,plain,
    ( c3_1(a1320)
    | c0_1(a1320)
    | ~ spl0_23
    | spl0_80 ),
    inference(resolution,[],[f279,f529]) ).

fof(f1406,plain,
    ( c3_1(a1359)
    | c0_1(a1359)
    | ~ spl0_23
    | spl0_102 ),
    inference(resolution,[],[f279,f631]) ).

fof(f1407,plain,
    ( c3_1(a1306)
    | c0_1(a1306)
    | ~ spl0_23
    | spl0_63 ),
    inference(resolution,[],[f279,f452]) ).

fof(f1412,plain,
    ( spl0_103
    | spl0_101
    | ~ spl0_23
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1406,f630,f278,f626,f634]) ).

fof(f1431,plain,
    ( ~ c2_1(a1320)
    | ~ c3_1(a1320)
    | ~ spl0_30
    | spl0_80 ),
    inference(resolution,[],[f303,f529]) ).

fof(f1457,plain,
    ( ~ c2_1(a1359)
    | c0_1(a1359)
    | ~ spl0_1
    | spl0_101 ),
    inference(resolution,[],[f627,f203]) ).

fof(f1481,plain,
    ( ~ c3_1(a1372)
    | ~ c0_1(a1372)
    | ~ spl0_4
    | ~ spl0_155 ),
    inference(resolution,[],[f846,f212]) ).

fof(f1487,plain,
    ( ~ spl0_156
    | ~ spl0_154
    | ~ spl0_4
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1481,f845,f211,f840,f849]) ).

fof(f1494,plain,
    ( c3_1(a1348)
    | c0_1(a1348)
    | ~ spl0_16
    | ~ spl0_137 ),
    inference(resolution,[],[f254,f770]) ).

fof(f1495,plain,
    ( c3_1(a1339)
    | c0_1(a1339)
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(resolution,[],[f254,f754]) ).

fof(f1509,plain,
    ( ~ c2_1(a1320)
    | c0_1(a1320)
    | ~ spl0_24
    | spl0_80 ),
    inference(resolution,[],[f282,f529]) ).

fof(f1519,plain,
    ( spl0_81
    | ~ spl0_120
    | ~ spl0_24
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1509,f528,f281,f701,f532]) ).

fof(f1540,plain,
    ( c2_1(a1309)
    | ~ c0_1(a1309)
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(resolution,[],[f306,f670]) ).

fof(f1545,plain,
    ( ~ spl0_160
    | spl0_67
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1540,f669,f305,f469,f925]) ).

fof(f1549,plain,
    ( ~ c2_1(a1311)
    | ~ c3_1(a1311)
    | ~ spl0_30
    | spl0_68 ),
    inference(resolution,[],[f475,f303]) ).

fof(f1551,definition,
    ( spl0_176
  <=> c3_1(a1311) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1554,plain,
    ( ~ spl0_176
    | ~ spl0_114
    | ~ spl0_30
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1549,f474,f302,f677,f1551]) ).

fof(f1575,plain,
    ( c0_1(a1348)
    | ~ c2_1(a1348)
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(resolution,[],[f320,f770]) ).

fof(f1581,plain,
    ( ~ spl0_136
    | spl0_97
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1575,f769,f319,f607,f765]) ).

fof(f1589,plain,
    ( c2_1(a1339)
    | c0_1(a1339)
    | ~ spl0_9
    | ~ spl0_168 ),
    inference(resolution,[],[f1138,f230]) ).

fof(f1596,definition,
    ( spl0_177
  <=> c0_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1604,plain,
    ( c3_1(a1333)
    | c2_1(a1333)
    | ~ spl0_18
    | ~ spl0_130 ),
    inference(resolution,[],[f742,f261]) ).

fof(f1606,plain,
    ( c3_1(a1333)
    | ~ c0_1(a1333)
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(resolution,[],[f742,f219]) ).

fof(f1626,plain,
    ( ~ c0_1(a1333)
    | c2_1(a1333)
    | ~ spl0_12
    | spl0_91 ),
    inference(resolution,[],[f580,f240]) ).

fof(f1627,plain,
    ( spl0_92
    | ~ spl0_177
    | ~ spl0_12
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1626,f579,f239,f1596,f583]) ).

fof(f1634,plain,
    ( c2_1(a1333)
    | c0_1(a1333)
    | ~ spl0_17
    | ~ spl0_130 ),
    inference(resolution,[],[f258,f742]) ).

fof(f1648,plain,
    ( ~ c2_1(a1307)
    | ~ c0_1(a1307)
    | ~ spl0_22
    | ~ spl0_146 ),
    inference(resolution,[],[f807,f275]) ).

fof(f1649,plain,
    ( c3_1(a1307)
    | ~ c2_1(a1307)
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(resolution,[],[f807,f222]) ).

fof(f1653,plain,
    ( ~ spl0_147
    | ~ spl0_145
    | ~ spl0_22
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1648,f806,f274,f801,f810]) ).

fof(f1656,plain,
    ( ~ c0_1(a1326)
    | c2_1(a1326)
    | ~ spl0_12
    | spl0_85 ),
    inference(resolution,[],[f553,f240]) ).

fof(f1659,definition,
    ( spl0_178
  <=> c0_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1661,plain,
    ( spl0_86
    | ~ spl0_178
    | ~ spl0_12
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1656,f552,f239,f1659,f556]) ).

fof(f1669,plain,
    ( c3_1(a1320)
    | ~ c2_1(a1320)
    | ~ spl0_25
    | spl0_80 ),
    inference(resolution,[],[f285,f529]) ).

fof(f1673,plain,
    ( c3_1(a1359)
    | ~ c2_1(a1359)
    | ~ spl0_25
    | spl0_102 ),
    inference(resolution,[],[f285,f631]) ).

fof(f1685,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(resolution,[],[f337,f219]) ).

fof(f1686,plain,
    ( c2_1(a1330)
    | ~ c0_1(a1330)
    | ~ spl0_39
    | spl0_89 ),
    inference(resolution,[],[f337,f570]) ).

fof(f1691,plain,
    ( c2_1(a1308)
    | ~ c0_1(a1308)
    | ~ spl0_39
    | spl0_66 ),
    inference(resolution,[],[f337,f465]) ).

fof(f1693,plain,
    ( c2_1(a1326)
    | ~ c0_1(a1326)
    | ~ spl0_39
    | spl0_87 ),
    inference(resolution,[],[f337,f561]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1685]) ).

fof(f1706,plain,
    ( c3_1(a1311)
    | ~ c0_1(a1311)
    | ~ spl0_44
    | spl0_68 ),
    inference(resolution,[],[f355,f475]) ).

fof(f1716,plain,
    ( ~ spl0_115
    | spl0_176
    | ~ spl0_44
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1706,f474,f354,f1551,f681]) ).

fof(f1723,plain,
    ( c0_1(a1333)
    | c2_1(a1333)
    | ~ spl0_48
    | spl0_91 ),
    inference(resolution,[],[f370,f580]) ).

fof(f1728,plain,
    ( c0_1(a1326)
    | c2_1(a1326)
    | ~ spl0_48
    | spl0_85 ),
    inference(resolution,[],[f370,f553]) ).

fof(f1729,plain,
    ( c0_1(a1316)
    | c2_1(a1316)
    | ~ spl0_48
    | spl0_75 ),
    inference(resolution,[],[f370,f507]) ).

fof(f1739,plain,
    ( spl0_92
    | spl0_177
    | ~ spl0_48
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1723,f579,f369,f1596,f583]) ).

fof(f1742,plain,
    ( spl0_72
    | spl0_71
    | ~ spl0_16
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1130,f689,f253,f488,f492]) ).

fof(f1745,plain,
    ( spl0_177
    | spl0_92
    | ~ spl0_17
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1634,f741,f257,f583,f1596]) ).

fof(f1749,plain,
    ( spl0_95
    | spl0_94
    | ~ spl0_9
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1589,f1137,f229,f593,f597]) ).

fof(f1750,plain,
    ( c2_1(a1315)
    | c0_1(a1315)
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(resolution,[],[f694,f230]) ).

fof(f1751,plain,
    ( spl0_74
    | spl0_167
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1750,f693,f229,f1092,f501]) ).

fof(f1755,plain,
    ( c0_1(a1338)
    | ~ c2_1(a1338)
    | ~ spl0_2
    | ~ spl0_151 ),
    inference(resolution,[],[f206,f828]) ).

fof(f1760,plain,
    ( c0_1(a1334)
    | ~ c2_1(a1334)
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(resolution,[],[f206,f746]) ).

fof(f1762,plain,
    ( c0_1(a1325)
    | ~ c2_1(a1325)
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(resolution,[],[f206,f722]) ).

fof(f1764,plain,
    ( c0_1(a1315)
    | ~ c2_1(a1315)
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(resolution,[],[f206,f694]) ).

fof(f1780,plain,
    ( ~ spl0_160
    | ~ spl0_112
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1293,f673,f211,f669,f925]) ).

fof(f1782,plain,
    ( spl0_12
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1119,f250,f218,f239]) ).

fof(f1783,plain,
    ( ~ spl0_177
    | spl0_91
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1606,f741,f218,f579,f1596]) ).

fof(f1785,plain,
    ( ~ spl0_158
    | ~ spl0_127
    | ~ spl0_11
    | spl0_89 ),
    inference(avatar_split_clause,[],[f947,f569,f235,f729,f911]) ).

fof(f1790,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_11
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1167,f542,f235,f717,f713]) ).

fof(f1794,plain,
    ( spl0_162
    | spl0_69
    | ~ spl0_15
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1186,f483,f250,f479,f956]) ).

fof(f1795,plain,
    ( spl0_94
    | spl0_168
    | ~ spl0_18
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1200,f753,f260,f1137,f593]) ).

fof(f1796,plain,
    ( spl0_92
    | spl0_91
    | ~ spl0_18
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1604,f741,f260,f579,f583]) ).

fof(f1797,plain,
    ( ~ spl0_136
    | ~ spl0_161
    | ~ spl0_20
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1217,f769,f267,f940,f765]) ).

fof(f1802,plain,
    ( spl0_64
    | spl0_159
    | ~ spl0_23
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1340,f451,f278,f916,f455]) ).

fof(f1804,plain,
    ( spl0_64
    | spl0_159
    | ~ spl0_23
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1407,f451,f278,f916,f455]) ).

fof(f1805,plain,
    ( spl0_81
    | spl0_173
    | ~ spl0_23
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1402,f528,f278,f1348,f532]) ).

fof(f1808,plain,
    ( ~ spl0_173
    | ~ spl0_120
    | ~ spl0_30
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1431,f528,f302,f701,f1348]) ).

fof(f1813,plain,
    ( spl0_86
    | spl0_178
    | ~ spl0_48
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1728,f552,f369,f1659,f556]) ).

fof(f1814,plain,
    ( spl0_76
    | spl0_77
    | ~ spl0_48
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1729,f506,f369,f514,f510]) ).

fof(f1816,plain,
    ( ~ spl0_162
    | ~ spl0_116
    | ~ spl0_8
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1027,f483,f225,f685,f956]) ).

fof(f1818,plain,
    ( spl0_95
    | spl0_168
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1495,f753,f253,f1137,f597]) ).

fof(f1820,plain,
    ( spl0_97
    | spl0_161
    | ~ spl0_16
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1494,f769,f253,f940,f607]) ).

fof(f1825,plain,
    ( ~ spl0_152
    | spl0_172
    | ~ spl0_2
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1755,f827,f205,f1301,f832]) ).

fof(f1828,plain,
    ( ~ spl0_132
    | spl0_93
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1760,f745,f205,f588,f749]) ).

fof(f1830,plain,
    ( ~ spl0_157
    | spl0_84
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1762,f721,f205,f547,f904]) ).

fof(f1831,plain,
    ( ~ spl0_167
    | spl0_74
    | ~ spl0_2
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1764,f693,f205,f501,f1092]) ).

fof(f1834,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1342,f278,f221,f202]) ).

fof(f1835,plain,
    ( ~ spl0_112
    | spl0_160
    | ~ spl0_10
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f933,f673,f232,f925,f669]) ).

fof(f1837,plain,
    ( spl0_97
    | ~ spl0_136
    | ~ spl0_1
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1038,f940,f202,f765,f607]) ).

fof(f1838,plain,
    ( spl0_79
    | ~ spl0_119
    | ~ spl0_1
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1041,f519,f202,f697,f523]) ).

fof(f1841,plain,
    ( spl0_103
    | ~ spl0_165
    | ~ spl0_1
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1457,f626,f202,f1020,f634]) ).

fof(f1844,plain,
    ( ~ spl0_162
    | spl0_69
    | ~ spl0_25
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1379,f483,f284,f479,f956]) ).

fof(f1847,plain,
    ( ~ spl0_120
    | spl0_173
    | ~ spl0_25
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1669,f528,f284,f1348,f701]) ).

fof(f1849,plain,
    ( ~ spl0_165
    | spl0_101
    | ~ spl0_25
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1673,f630,f284,f626,f1020]) ).

fof(f1851,plain,
    ( spl0_12
    | ~ spl0_6
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1695,f336,f218,f239]) ).

fof(f1852,plain,
    ( ~ spl0_127
    | spl0_88
    | ~ spl0_39
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1686,f569,f336,f565,f729]) ).

fof(f1855,plain,
    ( ~ spl0_166
    | spl0_65
    | ~ spl0_39
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1691,f464,f336,f460,f1083]) ).

fof(f1856,plain,
    ( ~ spl0_178
    | spl0_86
    | ~ spl0_39
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1693,f560,f336,f556,f1659]) ).

fof(f1861,plain,
    ( ~ spl0_145
    | spl0_171
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1649,f806,f221,f1281,f801]) ).

fof(f1864,plain,
    ( ~ c0_1(a1312)
    | ~ c2_1(a1312)
    | ~ spl0_28
    | spl0_69 ),
    inference(resolution,[],[f480,f296]) ).

fof(f1865,plain,
    ( ~ spl0_162
    | ~ spl0_116
    | ~ spl0_28
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1864,f479,f295,f685,f956]) ).

fof(f1866,plain,
    ( c3_1(a1312)
    | ~ c0_1(a1312)
    | ~ spl0_44
    | spl0_70 ),
    inference(resolution,[],[f484,f355]) ).

fof(f1867,plain,
    ( ~ spl0_116
    | spl0_69
    | ~ spl0_44
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1866,f483,f354,f479,f685]) ).

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

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

cnf(s3,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_7
    | spl0_26 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f297]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_22
    | spl0_36 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_12
    | spl0_29 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s22,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_10
    | spl0_40 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_39
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_17
    | spl0_46 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s27,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_17
    | spl0_27 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s32,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_27
    | spl0_51 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_45 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_46
    | spl0_49 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_51
    | spl0_55 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_51
    | spl0_56 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_35
    | spl0_58 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_38
    | spl0_45 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_21
    | spl0_40 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_39
    | spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_39
    | spl0_52 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s55,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_38
    | spl0_43 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_26
    | spl0_49 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_40
    | spl0_56 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_56
    | spl0_59 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s62,plain,
    ( ~ spl0_32
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s63,plain,
    ( ~ spl0_32
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s64,plain,
    ( ~ spl0_32
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s65,plain,
    ( ~ spl0_59
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s66,plain,
    ( ~ spl0_59
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s67,plain,
    ( ~ spl0_56
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s68,plain,
    ( ~ spl0_50
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s69,plain,
    ( ~ spl0_40
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s70,plain,
    ( ~ spl0_40
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s71,plain,
    ( ~ spl0_26
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s72,plain,
    ( ~ spl0_26
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s73,plain,
    ( ~ spl0_49
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s74,plain,
    ( ~ spl0_49
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s75,plain,
    ( ~ spl0_41
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s76,plain,
    ( ~ spl0_41
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s77,plain,
    ( ~ spl0_41
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s78,plain,
    ( ~ spl0_47
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s79,plain,
    ( ~ spl0_47
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s80,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s81,plain,
    ( ~ spl0_46
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s83,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s84,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s85,plain,
    ( ~ spl0_45
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s86,plain,
    ( ~ spl0_45
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s87,plain,
    ( ~ spl0_45
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s88,plain,
    ( ~ spl0_38
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s89,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s90,plain,
    ( ~ spl0_43
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s91,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s92,plain,
    ( ~ spl0_58
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s93,plain,
    ( ~ spl0_21
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s94,plain,
    ( ~ spl0_52
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s95,plain,
    ( ~ spl0_52
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s97,plain,
    ( ~ spl0_37
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s100,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s101,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s102,plain,
    ( ~ spl0_55
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s103,plain,
    ( ~ spl0_55
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s107,plain,
    ( ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s108,plain,
    ( ~ spl0_108
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s109,plain,
    ( ~ spl0_59
    | spl0_111 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s110,plain,
    ( ~ spl0_56
    | spl0_112 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s111,plain,
    ( ~ spl0_56
    | spl0_113 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s112,plain,
    ( ~ spl0_50
    | spl0_114 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s113,plain,
    ( ~ spl0_50
    | spl0_115 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s114,plain,
    ( ~ spl0_40
    | spl0_116 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s115,plain,
    ( ~ spl0_26
    | spl0_117 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s116,plain,
    ( ~ spl0_49
    | spl0_118 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s117,plain,
    ( ~ spl0_47
    | spl0_119 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s118,plain,
    ( ~ spl0_46
    | spl0_120 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s121,plain,
    ( ~ spl0_27
    | spl0_123 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s122,plain,
    ( ~ spl0_27
    | spl0_124 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s123,plain,
    ( ~ spl0_36
    | spl0_125 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s124,plain,
    ( ~ spl0_36
    | spl0_126 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s125,plain,
    ( ~ spl0_38
    | spl0_127 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s126,plain,
    ( ~ spl0_43
    | spl0_128 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s127,plain,
    ( ~ spl0_43
    | spl0_129 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s128,plain,
    ( ~ spl0_58
    | spl0_130 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s129,plain,
    ( ~ spl0_21
    | spl0_131 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s130,plain,
    ( ~ spl0_21
    | spl0_132 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s131,plain,
    ( ~ spl0_52
    | spl0_133 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s134,plain,
    ( ~ spl0_37
    | spl0_136 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s135,plain,
    ( ~ spl0_37
    | spl0_137 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s137,plain,
    ( ~ spl0_51
    | spl0_139 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s138,plain,
    ( ~ spl0_51
    | spl0_140 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s142,plain,
    ( ~ spl0_108
    | spl0_144 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s143,plain,
    ( ~ spl0_29
    | spl0_145 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s144,plain,
    ( ~ spl0_29
    | spl0_146 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s145,plain,
    ( ~ spl0_29
    | spl0_147 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s149,plain,
    ( ~ spl0_19
    | spl0_151 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s150,plain,
    ( ~ spl0_19
    | spl0_152 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s151,plain,
    ( ~ spl0_19
    | spl0_153 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s152,plain,
    ( ~ spl0_53
    | spl0_154 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s153,plain,
    ( ~ spl0_53
    | spl0_155 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s154,plain,
    ( ~ spl0_53
    | spl0_156 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s155,plain,
    ( spl0_32
    | spl0_49
    | spl0_55 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s156,plain,
    ( spl0_26
    | spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s157,plain,
    ( spl0_55
    | spl0_56
    | spl0_59 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s159,plain,
    ( spl0_38
    | spl0_40
    | spl0_59 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s162,plain,
    ( spl0_40
    | spl0_41
    | spl0_50 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s163,plain,
    ( spl0_34
    | spl0_41
    | spl0_59 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s166,plain,
    ( spl0_46
    | spl0_53
    | spl0_56 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s167,plain,
    ( spl0_29
    | spl0_38
    | spl0_52 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s169,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s175,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s199,plain,
    ( spl0_37
    | spl0_52 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s200,plain,
    ( spl0_36
    | spl0_108 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s203,plain,
    ( ~ spl0_5
    | spl0_62
    | spl0_63
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s209,plain,
    ( ~ spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s211,plain,
    ( ~ spl0_12
    | spl0_88
    | ~ spl0_127
    | spl0_158 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s214,plain,
    ( ~ spl0_10
    | spl0_97
    | ~ spl0_137
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s215,plain,
    ( ~ spl0_10
    | spl0_84
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s222,plain,
    ( ~ spl0_12
    | spl0_109
    | spl0_110
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s225,plain,
    ( ~ spl0_12
    | spl0_69
    | ~ spl0_116
    | spl0_162 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s229,plain,
    ( ~ spl0_5
    | spl0_65
    | spl0_66
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s237,plain,
    ( ~ spl0_1
    | spl0_90
    | ~ spl0_128
    | spl0_163 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s239,plain,
    ( ~ spl0_6
    | spl0_90
    | ~ spl0_129
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s242,plain,
    ( ~ spl0_13
    | spl0_102
    | spl0_103
    | spl0_165 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s245,plain,
    ( ~ spl0_9
    | spl0_67
    | ~ spl0_112
    | spl0_160 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s246,plain,
    ( ~ spl0_5
    | spl0_73
    | ~ spl0_118
    | spl0_167 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s254,plain,
    ( ~ spl0_16
    | spl0_90
    | ~ spl0_129
    | spl0_163 ),
    inference(sat_conversion,[],[f1134]) ).

cnf(s260,plain,
    ( ~ spl0_7
    | spl0_90
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s262,plain,
    ( ~ spl0_17
    | spl0_94
    | spl0_95
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s263,plain,
    ( ~ spl0_5
    | spl0_9
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s269,plain,
    ( ~ spl0_15
    | spl0_101
    | spl0_102
    | spl0_165 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s271,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | spl0_48 ),
    inference(sat_conversion,[],[f1194]) ).

cnf(s281,plain,
    ( ~ spl0_6
    | spl0_100
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s288,plain,
    ( ~ spl0_20
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1264]) ).

cnf(s299,plain,
    ( ~ spl0_4
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s302,plain,
    ( ~ spl0_9
    | spl0_65
    | ~ spl0_111
    | spl0_166 ),
    inference(sat_conversion,[],[f1318]) ).

cnf(s304,plain,
    ( ~ spl0_9
    | spl0_84
    | ~ spl0_125
    | spl0_157 ),
    inference(sat_conversion,[],[f1320]) ).

cnf(s307,plain,
    ( ~ spl0_22
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1328]) ).

cnf(s311,plain,
    ( ~ spl0_18
    | ~ spl0_23
    | spl0_48 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s325,plain,
    ( ~ spl0_23
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(sat_conversion,[],[f1412]) ).

cnf(s350,plain,
    ( ~ spl0_4
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s357,plain,
    ( ~ spl0_24
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s362,plain,
    ( ~ spl0_31
    | spl0_67
    | ~ spl0_112
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s365,plain,
    ( ~ spl0_30
    | spl0_68
    | ~ spl0_114
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s371,plain,
    ( ~ spl0_35
    | spl0_97
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s389,plain,
    ( ~ spl0_12
    | spl0_91
    | spl0_92
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s399,plain,
    ( ~ spl0_22
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s400,plain,
    ( ~ spl0_12
    | spl0_85
    | spl0_86
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s412,plain,
    ( ~ spl0_44
    | spl0_68
    | ~ spl0_115
    | spl0_176 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s421,plain,
    ( ~ spl0_48
    | spl0_91
    | spl0_92
    | spl0_177 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s424,plain,
    ( ~ spl0_16
    | spl0_71
    | spl0_72
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s427,plain,
    ( ~ spl0_17
    | spl0_92
    | ~ spl0_130
    | spl0_177 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s431,plain,
    ( ~ spl0_9
    | spl0_94
    | spl0_95
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s432,plain,
    ( ~ spl0_9
    | spl0_74
    | ~ spl0_118
    | spl0_167 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s443,plain,
    ( ~ spl0_4
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s445,plain,
    ( ~ spl0_6
    | spl0_12
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s446,plain,
    ( ~ spl0_6
    | spl0_91
    | ~ spl0_130
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s449,plain,
    ( ~ spl0_11
    | spl0_89
    | ~ spl0_127
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s454,plain,
    ( ~ spl0_11
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s458,plain,
    ( ~ spl0_15
    | spl0_69
    | spl0_70
    | spl0_162 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s461,plain,
    ( ~ spl0_18
    | spl0_94
    | ~ spl0_133
    | spl0_168 ),
    inference(sat_conversion,[],[f1795]) ).

cnf(s462,plain,
    ( ~ spl0_18
    | spl0_91
    | spl0_92
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s464,plain,
    ( ~ spl0_20
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s468,plain,
    ( ~ spl0_23
    | spl0_63
    | spl0_64
    | spl0_159 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s470,plain,
    ( ~ spl0_23
    | spl0_63
    | spl0_64
    | spl0_159 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s471,plain,
    ( ~ spl0_23
    | spl0_80
    | spl0_81
    | spl0_173 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s474,plain,
    ( ~ spl0_30
    | spl0_80
    | ~ spl0_120
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s479,plain,
    ( ~ spl0_48
    | spl0_85
    | spl0_86
    | spl0_178 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s480,plain,
    ( ~ spl0_48
    | spl0_75
    | spl0_76
    | spl0_77 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s482,plain,
    ( ~ spl0_8
    | spl0_70
    | ~ spl0_116
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1816]) ).

cnf(s484,plain,
    ( ~ spl0_16
    | spl0_95
    | ~ spl0_133
    | spl0_168 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s486,plain,
    ( ~ spl0_16
    | spl0_97
    | ~ spl0_137
    | spl0_161 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s491,plain,
    ( ~ spl0_2
    | ~ spl0_151
    | ~ spl0_152
    | spl0_172 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s494,plain,
    ( ~ spl0_2
    | spl0_93
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s496,plain,
    ( ~ spl0_2
    | spl0_84
    | ~ spl0_125
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s497,plain,
    ( ~ spl0_2
    | spl0_74
    | ~ spl0_118
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s500,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s502,plain,
    ( ~ spl0_10
    | ~ spl0_112
    | ~ spl0_113
    | spl0_160 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s505,plain,
    ( ~ spl0_1
    | spl0_97
    | ~ spl0_136
    | spl0_161 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s506,plain,
    ( ~ spl0_1
    | spl0_78
    | spl0_79
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s509,plain,
    ( ~ spl0_1
    | spl0_101
    | spl0_103
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1841]) ).

cnf(s512,plain,
    ( ~ spl0_25
    | spl0_69
    | spl0_70
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1844]) ).

cnf(s515,plain,
    ( ~ spl0_25
    | spl0_80
    | ~ spl0_120
    | spl0_173 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s517,plain,
    ( ~ spl0_25
    | spl0_101
    | spl0_102
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s519,plain,
    ( ~ spl0_6
    | spl0_12
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s520,plain,
    ( ~ spl0_39
    | spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s523,plain,
    ( ~ spl0_39
    | spl0_65
    | spl0_66
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s524,plain,
    ( ~ spl0_39
    | spl0_86
    | spl0_87
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s529,plain,
    ( ~ spl0_7
    | ~ spl0_145
    | ~ spl0_146
    | spl0_171 ),
    inference(sat_conversion,[],[f1861]) ).

cnf(s532,plain,
    ( ~ spl0_28
    | spl0_69
    | ~ spl0_116
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s533,plain,
    ( ~ spl0_44
    | spl0_69
    | spl0_70
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1867]) ).

cnf(s534,plain,
    spl0_3,
    inference(rat,[],[s163,s169,s175,s196]) ).

cnf(s535,plain,
    ( ~ spl0_29
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s529,s299,s143,s144,s145]) ).

cnf(s536,plain,
    ( ~ spl0_27
    | ~ spl0_11 ),
    inference(rat,[],[s454,s83,s121,s122]) ).

cnf(s539,plain,
    ( ~ spl0_56
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s502,s443,s110,s111]) ).

cnf(s541,plain,
    ( ~ spl0_58
    | ~ spl0_17
    | ~ spl0_12 ),
    inference(rat,[],[s389,s427,s91,s92,s128]) ).

cnf(s542,plain,
    ( ~ spl0_52
    | ~ spl0_17 ),
    inference(rat,[],[s262,s94,s95,s131]) ).

cnf(s544,plain,
    ( ~ spl0_46
    | ~ spl0_24 ),
    inference(rat,[],[s357,s80,s81,s118]) ).

cnf(s545,plain,
    ( ~ spl0_53
    | ~ spl0_4 ),
    inference(rat,[],[s350,s152,s153,s154]) ).

cnf(s546,plain,
    ( spl0_56
    | spl0_69
    | ~ spl0_12
    | spl0_23
    | spl0_53 ),
    inference(rat,[],[s225,s512,s70,s114,s11,s57,s544,s166,s534]) ).

cnf(s548,plain,
    ( spl0_40
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s544,s57,s166,s539,s22,s545,s534]) ).

cnf(s549,plain,
    ( spl0_6
    | spl0_5
    | spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s535,s19,s2,s534]) ).

cnf(s550,plain,
    ( ~ spl0_51
    | ~ spl0_6 ),
    inference(rat,[],[s281,s100,s137,s138]) ).

cnf(s551,plain,
    ( spl0_56
    | spl0_51
    | spl0_53 ),
    inference(rat,[],[s11,s471,s515,s474,s42,s544,s80,s81,s118,s166,s534]) ).

cnf(s552,plain,
    ( ~ spl0_6
    | spl0_12
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s288,s149,s150,s151,s54,s542,s34,s30,s536,s4,s245,s443,s539,s67,s110,s111,s551,s550,s519,s545,s534]) ).

cnf(s553,plain,
    ( ~ spl0_37
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(rat,[],[s214,s486,s97,s135]) ).

cnf(s554,plain,
    ( ~ spl0_10
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(rat,[],[s431,s484,s94,s95,s131,s199,s553,s209]) ).

cnf(s555,plain,
    ( ~ spl0_52
    | spl0_10
    | ~ spl0_16
    | spl0_15 ),
    inference(rat,[],[s4,s536,s431,s30,s484,s542,s94,s95,s131,s534]) ).

cnf(s556,plain,
    ( ~ spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s424,s71,s72,s115]) ).

cnf(s557,plain,
    ( ~ spl0_59
    | ~ spl0_5 ),
    inference(rat,[],[s229,s65,s66,s109]) ).

cnf(s558,plain,
    ( spl0_56
    | spl0_59
    | spl0_53 ),
    inference(rat,[],[s11,s325,s517,s242,s101,s102,s103,s60,s157,s544,s166,s534]) ).

cnf(s559,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s8,s263,s245,s443,s67,s110,s111,s558,s557,s462,s91,s92,s128,s156,s556,s555,s554,s549,s7,s552,s225,s458,s482,s69,s70,s114,s548,s545,s3,s1,s534]) ).

cnf(s560,plain,
    ( ~ spl0_49
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s246,s497,s73,s74,s116]) ).

cnf(s562,plain,
    ( ~ spl0_21
    | ~ spl0_2 ),
    inference(rat,[],[s494,s93,s129,s130]) ).

cnf(s564,plain,
    ( ~ spl0_55
    | ~ spl0_23 ),
    inference(rat,[],[s325,s101,s102,s103]) ).

cnf(s565,plain,
    ( ~ spl0_5
    | spl0_69
    | spl0_70
    | ~ spl0_116
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s203,s470,s62,s63,s64,s155,s564,s11,s544,s36,s512,s532,s458,s30,s536,s4,s263,s245,s443,s539,s67,s110,s111,s558,s560,s557,s545,s534]) ).

cnf(s566,plain,
    ( spl0_6
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s479,s400,s85,s86,s25,s271,s245,s555,s443,s26,s542,s539,s67,s110,s111,s544,s38,s546,s11,s512,s532,s500,s225,s2,s549,s545,s533,s565,s69,s70,s114,s548,s559,s534]) ).

cnf(s567,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(rat,[],[s445,s552]) ).

cnf(s568,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s544,s26,s11,s271,s311,s30,s8,s542,s38,s479,s512,s532,s400,s225,s567,s536,s85,s86,s4,s25,s245,s443,s539,s67,s110,s111,s551,s550,s566,s533,s69,s70,s114,s548,s545,s534]) ).

cnf(s570,plain,
    ( ~ spl0_162
    | spl0_23
    | spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s36,s544,s560,s11,s5,s512,s532,s482,s114,s70,s69,s49,s562,s534]) ).

cnf(s572,plain,
    ( ~ spl0_162
    | spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s203,s470,s62,s63,s64,s155,s560,s564,s5,s570,s482,s114,s70,s49,s562,s534]) ).

cnf(s574,plain,
    ( ~ spl0_43
    | ~ spl0_7 ),
    inference(rat,[],[s260,s90,s126,s127]) ).

cnf(s575,plain,
    ( spl0_12
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s520,s88,s89,s125,s55,s24,s574,s12,s556,s7,s458,s572,s533,s69,s70,s114,s49,s562,s559,s568,s534]) ).

cnf(s576,plain,
    ( ~ spl0_5
    | spl0_28
    | spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s203,s468,s62,s63,s64,s155,s564,s11,s544,s36,s560,s534]) ).

cnf(s577,plain,
    ( ~ spl0_116
    | ~ spl0_162
    | spl0_69
    | spl0_70
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s520,s88,s89,s125,s55,s24,s574,s2,s576,s532,s533,s559,s512,s534]) ).

cnf(s580,plain,
    ( ~ spl0_50
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(rat,[],[s365,s412,s68,s112,s113]) ).

cnf(s582,plain,
    ( ~ spl0_36
    | ~ spl0_10 ),
    inference(rat,[],[s215,s84,s123,s124]) ).

cnf(s583,plain,
    ( ~ spl0_108
    | ~ spl0_12 ),
    inference(rat,[],[s222,s107,s108,s142]) ).

cnf(s584,plain,
    ( spl0_6
    | spl0_1 ),
    inference(rat,[],[s70,s577,s225,s69,s114,s22,s582,s200,s583,s575,s534]) ).

cnf(s585,plain,
    ( ~ spl0_12
    | spl0_69
    | spl0_1 ),
    inference(rat,[],[s13,s536,s532,s225,s4,s114,s304,s22,s496,s582,s84,s123,s200,s583,s559,s568,s534]) ).

cnf(s586,plain,
    ( ~ spl0_19
    | ~ spl0_22
    | ~ spl0_2 ),
    inference(rat,[],[s491,s307,s149,s150,s151]) ).

cnf(s587,plain,
    ( ~ spl0_29
    | ~ spl0_22 ),
    inference(rat,[],[s399,s143,s144,s145]) ).

cnf(s588,plain,
    ( spl0_30
    | spl0_29
    | ~ spl0_10
    | spl0_51 ),
    inference(rat,[],[s502,s362,s67,s110,s111,s14,s42,s534]) ).

cnf(s589,plain,
    ( ~ spl0_10
    | spl0_16
    | spl0_39
    | spl0_1 ),
    inference(rat,[],[s11,s471,s515,s474,s588,s587,s544,s80,s81,s118,s26,s542,s54,s586,s17,s582,s559,s550,s584,s534]) ).

cnf(s590,plain,
    ( spl0_27
    | spl0_39
    | spl0_15
    | spl0_51 ),
    inference(rat,[],[s288,s149,s150,s151,s54,s542,s30,s34,s534]) ).

cnf(s591,plain,
    ( ~ spl0_36
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(rat,[],[s304,s496,s84,s123]) ).

cnf(s592,plain,
    ( spl0_69
    | spl0_70
    | spl0_1 ),
    inference(rat,[],[s432,s497,s74,s116,s32,s421,s446,s91,s92,s128,s46,s371,s97,s134,s135,s20,s461,s431,s94,s95,s131,s54,s586,s17,s591,s4,s536,s590,s589,s254,s239,s90,s127,s24,s533,s114,s519,s445,s49,s585,s562,s559,s550,s584,s534]) ).

cnf(s593,plain,
    ( spl0_40
    | spl0_1 ),
    inference(rat,[],[s200,s583,s582,s49,s22,s562,s559,s534]) ).

cnf(s594,plain,
    spl0_1,
    inference(rat,[],[s592,s69,s70,s593]) ).

cnf(s595,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(rat,[],[s520,s88,s89,s125]) ).

cnf(s596,plain,
    ~ spl0_47,
    inference(rat,[],[s506,s78,s79,s117,s594]) ).

cnf(s597,plain,
    ( spl0_6
    | spl0_69
    | ~ spl0_10 ),
    inference(rat,[],[s533,s70,s114,s49,s562,s24,s27,s574,s480,s2,s75,s76,s77,s554,s53,s17,s595,s587,s40,s19,s583,s200,s582,s534,s596]) ).

cnf(s598,plain,
    ( spl0_69
    | ~ spl0_10 ),
    inference(rat,[],[s239,s237,s90,s126,s127,s24,s533,s70,s114,s49,s562,s27,s480,s75,s76,s77,s53,s519,s597,s583,s200,s582,s594,s534,s596]) ).

cnf(s599,plain,
    ( ~ spl0_41
    | ~ spl0_48 ),
    inference(rat,[],[s480,s75,s76,s77]) ).

cnf(s600,plain,
    ( ~ spl0_39
    | spl0_12 ),
    inference(rat,[],[s40,s595,s519,s596,s534]) ).

cnf(s601,plain,
    ( spl0_40
    | spl0_12 ),
    inference(rat,[],[s600,s53,s599,s27,s562,s49,s596,s534]) ).

cnf(s602,plain,
    ~ spl0_10,
    inference(rat,[],[s601,s69,s598,s583,s200,s582]) ).

cnf(s603,plain,
    ( ~ spl0_38
    | ~ spl0_12 ),
    inference(rat,[],[s591,s27,s4,s599,s449,s53,s211,s595,s88,s89,s125,s200,s583,s534,s596,s602]) ).

cnf(s604,plain,
    ( spl0_17
    | spl0_25
    | spl0_16
    | spl0_9
    | spl0_48 ),
    inference(rat,[],[s11,s311,s544,s8,s26,s534]) ).

cnf(s605,plain,
    ( ~ spl0_17
    | spl0_21
    | ~ spl0_12 ),
    inference(rat,[],[s371,s97,s134,s135,s199,s46,s542,s541,s534]) ).

cnf(s606,plain,
    ( spl0_39
    | ~ spl0_12 ),
    inference(rat,[],[s269,s517,s101,s102,s41,s474,s515,s80,s118,s604,s26,s605,s271,s590,s536,s4,s591,s562,s27,s599,s53,s200,s583,s550,s40,s603,s534,s602,s596]) ).

cnf(s607,plain,
    ( ~ spl0_55
    | ~ spl0_15 ),
    inference(rat,[],[s269,s509,s101,s102,s103,s594]) ).

cnf(s608,plain,
    ( ~ spl0_45
    | ~ spl0_48
    | ~ spl0_39 ),
    inference(rat,[],[s479,s524,s85,s86,s87]) ).

cnf(s609,plain,
    ( ~ spl0_48
    | spl0_70
    | ~ spl0_30
    | spl0_9
    | spl0_69
    | ~ spl0_39 ),
    inference(rat,[],[s162,s114,s580,s533,s25,s608,s599,s534]) ).

cnf(s610,plain,
    ( spl0_70
    | ~ spl0_30
    | spl0_17
    | spl0_9
    | spl0_69
    | ~ spl0_39 ),
    inference(rat,[],[s604,s271,s609,s512,s458,s30,s536,s4,s534,s602]) ).

cnf(s611,plain,
    ( ~ spl0_48
    | spl0_40
    | ~ spl0_30
    | spl0_9
    | ~ spl0_39 ),
    inference(rat,[],[s580,s25,s162,s608,s599,s534]) ).

cnf(s612,plain,
    ( ~ spl0_2
    | spl0_69
    | ~ spl0_12 ),
    inference(rat,[],[s474,s515,s80,s118,s604,s26,s271,s611,s70,s610,s41,s607,s30,s536,s4,s605,s591,s562,s200,s583,s550,s40,s603,s606,s534,s602,s596]) ).

cnf(s613,plain,
    ( spl0_69
    | ~ spl0_12 ),
    inference(rat,[],[s70,s611,s610,s41,s607,s30,s536,s4,s431,s461,s542,s94,s95,s131,s167,s587,s47,s35,s608,s27,s612,s550,s40,s603,s606,s534,s602,s596]) ).

cnf(s614,plain,
    ( spl0_17
    | ~ spl0_12 ),
    inference(rat,[],[s474,s515,s80,s118,s604,s26,s271,s611,s41,s607,s30,s550,s40,s536,s4,s302,s523,s66,s606,s109,s65,s159,s69,s613,s603,s534,s602,s596]) ).

cnf(s615,plain,
    ~ spl0_12,
    inference(rat,[],[s505,s464,s97,s134,s135,s199,s542,s614,s34,s536,s4,s302,s523,s65,s66,s109,s159,s69,s613,s606,s550,s40,s603,s594,s534,s602,s596]) ).

cnf(s616,plain,
    ~ spl0_39,
    inference(rat,[],[s600,s615]) ).

cnf(s617,plain,
    spl0_40,
    inference(rat,[],[s601,s615]) ).

cnf(s618,plain,
    spl0_41,
    inference(rat,[],[s53,s596,s534,s616]) ).

cnf(s619,plain,
    spl0_116,
    inference(rat,[],[s114,s617]) ).

cnf(s620,plain,
    ~ spl0_70,
    inference(rat,[],[s70,s617]) ).

cnf(s621,plain,
    ~ spl0_69,
    inference(rat,[],[s69,s617]) ).

cnf(s625,plain,
    ~ spl0_48,
    inference(rat,[],[s599,s618]) ).

cnf(s626,plain,
    ~ spl0_44,
    inference(rat,[],[s533,s621,s619,s620]) ).

cnf(s627,plain,
    spl0_2,
    inference(rat,[],[s27,s596,s534,s625]) ).

cnf(s628,plain,
    spl0_46,
    inference(rat,[],[s31,s615,s534,s625]) ).

cnf(s629,plain,
    spl0_43,
    inference(rat,[],[s24,s616,s534,s626]) ).

cnf(s631,plain,
    ~ spl0_162,
    inference(rat,[],[s572,s615,s627]) ).

cnf(s635,plain,
    ~ spl0_24,
    inference(rat,[],[s544,s628]) ).

cnf(s636,plain,
    spl0_129,
    inference(rat,[],[s127,s629]) ).

cnf(s637,plain,
    spl0_128,
    inference(rat,[],[s126,s629]) ).

cnf(s638,plain,
    ~ spl0_90,
    inference(rat,[],[s90,s629]) ).

cnf(s639,plain,
    ~ spl0_7,
    inference(rat,[],[s574,s629]) ).

cnf(s640,plain,
    ~ spl0_15,
    inference(rat,[],[s458,s620,s621,s631]) ).

cnf(s641,plain,
    spl0_163,
    inference(rat,[],[s237,s594,s638,s637]) ).

cnf(s642,plain,
    ~ spl0_6,
    inference(rat,[],[s239,s636,s638,s641]) ).

cnf(s645,plain,
    spl0_5,
    inference(rat,[],[s2,s639,s534,s642]) ).

cnf(s646,plain,
    spl0_16,
    inference(rat,[],[s7,s640,s534,s642]) ).

cnf(s655,plain,
    ~ spl0_49,
    inference(rat,[],[s560,s627,s645]) ).

cnf(s658,plain,
    ~ spl0_26,
    inference(rat,[],[s556,s646]) ).

cnf(s664,plain,
    $false,
    inference(rat,[],[s56,s635,s534,s658,s655]) ).

fof(f1868,plain,
    $false,
    inference(avatar_sat_refutation,[],[s664]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN478-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  % Computer : n002.cluster.edu
% 0.07/0.21  % Model    : x86_64 x86_64
% 0.07/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21  % Memory   : 8046.5625MB
% 0.07/0.21  % OS       : Linux 6.8.0-71-generic
% 0.07/0.21  % CPULimit : 300
% 0.07/0.21  % WCLimit  : 300
% 0.07/0.21  % DateTime : Mon Sep 28 16:17:25 UTC 2026
% 0.07/0.21  % CPUTime  : 
% 0.07/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24  Running first-order theorem proving
% 0.07/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.12  % (482899)Input is clausal, will run a generic CNF schedule.
% 2.91/1.12  % (482904)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1066897384:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.12  % (482905)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=423598526:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.12  % (482907)lrs+10_1_sil=8000:sp=occurrence:random_seed=224493961:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.12  % (482909)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2935045852:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.12  % (482908)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2852575817:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.12  % (482906)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3969463551:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.12  % (482910)dis-21_1_sil=8000:lcm=predicate:random_seed=3876099151:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.91/1.12  % (482910)First to succeed.
% 2.91/1.12  % (482910)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-482899"
% 2.91/1.12  % (482908)Also succeeded, but the first one will report.
% 2.91/1.12  % (482909)Also succeeded, but the first one will report.
% 2.91/1.12  % (482907)Also succeeded, but the first one will report.
% 2.91/1.12  % (482910)Refutation found. Thanks to Tanya!
% 2.91/1.12  % SZS status Unsatisfiable for theBenchmark
% 2.91/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.21  % (482910)------------------------------
% 3.65/1.21  % (482910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.21  % (482910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.21  % (482910)CaDiCaL version: 2.1.3
% 3.65/1.21  % (482910)Termination reason: Refutation
% 3.65/1.21  % (482910)Time elapsed: 0.029 s
% 3.65/1.21  % (482910)Peak memory usage: 90 MB
% 3.65/1.21  % (482910)Instructions burned: 44 (million)
% 3.65/1.21  % (482910)------------------------------
% 3.65/1.21  % (482910)------------------------------
% 3.65/1.21  % (482899)Success in time 0.44 s
% 3.65/1.21  % Vampire exiting
%------------------------------------------------------------------------------