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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN439-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:21 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.35s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :  375
% Syntax   : Number of formulae    : 1356 (  30 unt; 211 def)
%            Number of atoms       : 4091 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4774 (2039   ~;2524   |;   0   &)
%                                         ( 211 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  258 ( 257 usr; 254 prp; 0-1 aty)
%            Number of functors    :   41 (  41 usr;  41 con; 0-0 aty)
%            Number of variables   :  210 (   0 sgn 210   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp52
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f13,negated_conjecture,
    ( ~ hskp40
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f22,negated_conjecture,
    ( ~ hskp31
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f54,negated_conjecture,
    ( hskp36
    | hskp34
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( hskp6
    | hskp27
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( hskp40
    | hskp31
    | hskp52 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp52
    | c2_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp52
    | c1_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp51
    | c0_1(a583) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp51
    | c3_1(a583) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp50
    | c0_1(a574) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp50
    | c1_1(a574) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp49
    | c2_1(a568) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f68,negated_conjecture,
    ( ~ hskp46
    | c1_1(a562) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp45
    | c0_1(a561) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp44
    | c0_1(a559) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp44
    | c2_1(a559) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f76,negated_conjecture,
    ( ~ hskp41
    | c3_1(a555) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp41
    | c0_1(a555) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp40
    | c3_1(a551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp40
    | c2_1(a551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp39
    | c3_1(a549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp39
    | c2_1(a549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp39
    | c1_1(a549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp38
    | c2_1(a547) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp38
    | c1_1(a547) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp38
    | c0_1(a547) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp37
    | c1_1(a544) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp36
    | c0_1(a541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp36
    | c1_1(a541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp36
    | c2_1(a541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp35
    | c2_1(a538) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp35
    | c1_1(a538) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp35
    | c3_1(a538) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp34
    | c0_1(a537) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp34
    | c3_1(a537) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp33
    | c1_1(a536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp33
    | c2_1(a536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp33
    | c0_1(a536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp32
    | c0_1(a596) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f100,negated_conjecture,
    ( ~ hskp28
    | c2_1(a589) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp28
    | c3_1(a589) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp27
    | c1_1(a586) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp26
    | c0_1(a584) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp26
    | c1_1(a584) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp24
    | c2_1(a581) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp23
    | c3_1(a578) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp22
    | c1_1(a577) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp21
    | c1_1(a576) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp18
    | c0_1(a572) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp17
    | c0_1(a571) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp17
    | c3_1(a571) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp16
    | c3_1(a570) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp16
    | c1_1(a570) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f117,negated_conjecture,
    ( ~ hskp12
    | c3_1(a563) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp11
    | c1_1(a560) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp10
    | c3_1(a558) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp7
    | c0_1(a550) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp7
    | c3_1(a550) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp6
    | c3_1(a548) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ hskp4
    | c1_1(a545) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f127,negated_conjecture,
    ( ~ hskp0
    | c1_1(a535) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp0
    | c0_1(a535) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a595)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a583)
    | ~ hskp51 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f132,negated_conjecture,
    ( ~ c0_1(a568)
    | ~ hskp49 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp49 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f137,negated_conjecture,
    ( ~ c3_1(a562)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c0_1(a562)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c3_1(a561)
    | ~ hskp45 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ( ~ c2_1(a561)
    | ~ hskp45 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp44 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f144,negated_conjecture,
    ( ~ c2_1(a555)
    | ~ hskp41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ( ~ c0_1(a551)
    | ~ hskp40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ( ~ c2_1(a544)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ( ~ c3_1(a544)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ( ~ c1_1(a537)
    | ~ hskp34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ( ~ c3_1(a596)
    | ~ hskp32 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ( ~ c2_1(a596)
    | ~ hskp32 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ( ~ c0_1(a594)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ( ~ c3_1(a594)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ( ~ c1_1(a594)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f159,negated_conjecture,
    ( ~ c0_1(a589)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ( ~ c0_1(a586)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ( ~ c3_1(a586)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ( ~ c3_1(a584)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ( ~ c3_1(a582)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ( ~ c2_1(a582)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ( ~ c1_1(a582)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ( ~ c1_1(a581)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ( ~ c3_1(a581)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ( ~ c0_1(a578)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ( ~ c1_1(a578)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ( ~ c3_1(a577)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ( ~ c0_1(a577)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ( ~ c0_1(a576)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ( ~ c3_1(a576)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ( ~ c2_1(a575)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ( ~ c0_1(a575)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ( ~ c3_1(a575)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ( ~ c2_1(a573)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ( ~ c0_1(a573)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ( ~ c1_1(a573)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ( ~ c3_1(a572)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ( ~ c1_1(a572)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ( ~ c2_1(a571)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ( ~ c0_1(a570)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f190,negated_conjecture,
    ( ~ c0_1(a563)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ( ~ c2_1(a563)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ( ~ c3_1(a560)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ( ~ c0_1(a560)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ( ~ c1_1(a558)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ( ~ c0_1(a558)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ( ~ c0_1(a554)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ( ~ c1_1(a554)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f199,negated_conjecture,
    ( ~ c3_1(a552)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ( ~ c1_1(a552)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f201,negated_conjecture,
    ( ~ c2_1(a552)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ( ~ c1_1(a550)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ( ~ c2_1(a548)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ( ~ c0_1(a548)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f207,negated_conjecture,
    ( ~ c2_1(a545)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).

fof(f208,negated_conjecture,
    ( ~ c0_1(a545)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).

fof(f209,negated_conjecture,
    ( ~ c1_1(a543)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause209) ).

fof(f210,negated_conjecture,
    ( ~ c0_1(a543)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause210) ).

fof(f211,negated_conjecture,
    ( ~ c3_1(a543)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause211) ).

fof(f216,negated_conjecture,
    ( ~ c2_1(a535)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause216) ).

fof(f217,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause217) ).

fof(f218,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp44
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause218) ).

fof(f220,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X0)
      | hskp19
      | hskp50 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause220) ).

fof(f221,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | hskp39
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause221) ).

fof(f223,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp7
      | hskp40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause223) ).

fof(f224,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp9
      | hskp41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause224) ).

fof(f225,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp20
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause225) ).

fof(f226,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp22
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause226) ).

fof(f228,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause228) ).

fof(f230,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause230) ).

fof(f231,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause231) ).

fof(f232,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp45 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause232) ).

fof(f233,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause233) ).

fof(f234,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | hskp51 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause234) ).

fof(f235,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause235) ).

fof(f236,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause236) ).

fof(f237,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause237) ).

fof(f238,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | hskp35 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause238) ).

fof(f239,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause239) ).

fof(f241,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | hskp39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause241) ).

fof(f242,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause242) ).

fof(f244,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | hskp49 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause244) ).

fof(f246,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause246) ).

fof(f247,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause247) ).

fof(f248,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause248) ).

fof(f250,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | hskp34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause250) ).

fof(f251,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause251) ).

fof(f252,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | hskp32 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause252) ).

fof(f253,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause253) ).

fof(f255,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause255) ).

fof(f256,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause256) ).

fof(f257,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause257) ).

fof(f258,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c2_1(X2)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause258) ).

fof(f259,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause259) ).

fof(f260,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause260) ).

fof(f261,plain,
    ( hskp52
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f273,plain,
    ( ~ hskp40
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f282,plain,
    ( ~ hskp31
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f314,plain,
    ( ~ hskp36
    | ~ hskp34
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f315,plain,
    ( ~ hskp16
    | hskp17
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f316,plain,
    ( hskp40
    | hskp31
    | ~ hskp52 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f317,plain,
    ( hskp52
    | ~ c2_1(a595) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f318,plain,
    ( hskp52
    | ~ c1_1(a595) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f319,plain,
    ( hskp50
    | c0_1(a574) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f320,plain,
    ( hskp50
    | ~ c1_1(a574) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f321,plain,
    ( hskp49
    | ~ c2_1(a568) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f324,plain,
    ( hskp46
    | ~ c1_1(a562) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f325,plain,
    ( hskp45
    | c0_1(a561) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f326,plain,
    ( hskp44
    | c0_1(a559) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f327,plain,
    ( hskp44
    | ~ c2_1(a559) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f329,plain,
    ( hskp41
    | c3_1(a555) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f330,plain,
    ( hskp41
    | c0_1(a555) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f331,plain,
    ( ~ hskp40
    | ~ c2_1(a551) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f332,plain,
    ( ~ hskp39
    | ~ c2_1(a549) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f333,plain,
    ( ~ hskp39
    | ~ c1_1(a549) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f334,plain,
    ( hskp38
    | ~ c2_1(a547) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f335,plain,
    ( hskp38
    | ~ c1_1(a547) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f336,plain,
    ( hskp38
    | c0_1(a547) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f337,plain,
    ( hskp37
    | ~ c1_1(a544) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f338,plain,
    ( hskp36
    | c0_1(a541) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f339,plain,
    ( hskp36
    | ~ c1_1(a541) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f340,plain,
    ( hskp36
    | ~ c2_1(a541) ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f341,plain,
    ( hskp35
    | ~ c2_1(a538) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f342,plain,
    ( hskp35
    | ~ c1_1(a538) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f343,plain,
    ( hskp35
    | c3_1(a538) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f344,plain,
    ( hskp34
    | c0_1(a537) ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f345,plain,
    ( hskp34
    | c3_1(a537) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f346,plain,
    ( hskp33
    | ~ c1_1(a536) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f347,plain,
    ( hskp33
    | ~ c2_1(a536) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f348,plain,
    ( hskp33
    | c0_1(a536) ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f349,plain,
    ( hskp32
    | c0_1(a596) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f351,plain,
    ( hskp28
    | ~ c2_1(a589) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f352,plain,
    ( hskp28
    | c3_1(a589) ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f353,plain,
    ( ~ hskp27
    | ~ c1_1(a586) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f354,plain,
    ( ~ hskp26
    | ~ c1_1(a584) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f355,plain,
    ( ~ hskp24
    | ~ c2_1(a581) ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f356,plain,
    ( hskp22
    | ~ c1_1(a577) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f357,plain,
    ( ~ hskp21
    | ~ c1_1(a576) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f358,plain,
    ( hskp18
    | c0_1(a572) ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f359,plain,
    ( hskp16
    | c3_1(a570) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f360,plain,
    ( hskp16
    | ~ c1_1(a570) ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f363,plain,
    ( ~ hskp11
    | ~ c1_1(a560) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f365,plain,
    ( ~ hskp4
    | ~ c1_1(a545) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f368,plain,
    ( hskp0
    | ~ c1_1(a535) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f369,plain,
    ( hskp0
    | c0_1(a535) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f370,plain,
    ( ~ c0_1(a595)
    | hskp52 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f371,plain,
    ( c2_1(a583)
    | ~ hskp51 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f373,plain,
    ( ~ c0_1(a568)
    | hskp49 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f374,plain,
    ( c1_1(a568)
    | hskp49 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f378,plain,
    ( ~ c3_1(a562)
    | hskp46 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f379,plain,
    ( ~ c0_1(a562)
    | hskp46 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f380,plain,
    ( ~ c3_1(a561)
    | hskp45 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f381,plain,
    ( c2_1(a561)
    | hskp45 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f382,plain,
    ( ~ c3_1(a559)
    | hskp44 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f385,plain,
    ( c2_1(a555)
    | hskp41 ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f386,plain,
    ( c2_1(a544)
    | hskp37 ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f387,plain,
    ( ~ c3_1(a544)
    | hskp37 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f388,plain,
    ( c1_1(a537)
    | hskp34 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f389,plain,
    ( ~ c3_1(a596)
    | hskp32 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f390,plain,
    ( c2_1(a596)
    | hskp32 ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f391,plain,
    ( c1_1(a594)
    | ~ hskp31 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f395,plain,
    ( ~ c0_1(a589)
    | hskp28 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f396,plain,
    ( c2_1(a582)
    | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f397,plain,
    ( c1_1(a582)
    | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f398,plain,
    ( c1_1(a581)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f399,plain,
    ( c1_1(a578)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f400,plain,
    ( ~ c3_1(a577)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f401,plain,
    ( ~ c0_1(a577)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f402,plain,
    ( c2_1(a575)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f403,plain,
    ( ~ c0_1(a575)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f404,plain,
    ( ~ c3_1(a575)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f405,plain,
    ( c2_1(a573)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f406,plain,
    ( ~ c0_1(a573)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f407,plain,
    ( c1_1(a573)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f408,plain,
    ( ~ c3_1(a572)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f409,plain,
    ( c1_1(a572)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f410,plain,
    ( c2_1(a571)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f411,plain,
    ( ~ c0_1(a570)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f418,plain,
    ( c2_1(a563)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f419,plain,
    ( c1_1(a558)
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f420,plain,
    ( c2_1(a554)
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f421,plain,
    ( c1_1(a554)
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f422,plain,
    ( ~ c3_1(a552)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f423,plain,
    ( c1_1(a552)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f424,plain,
    ( c2_1(a552)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f201]) ).

fof(f425,plain,
    ( c1_1(a550)
    | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f426,plain,
    ( c2_1(a548)
    | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f429,plain,
    ( c2_1(a545)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f430,plain,
    ( c1_1(a543)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f431,plain,
    ( ~ c0_1(a543)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f432,plain,
    ( ~ c3_1(a543)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f435,plain,
    ( c2_1(a535)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f436,plain,
    ! [X0] :
      ( ndr1_0
      | ~ hskp28
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(consistent_polarity_flipping,[],[f217]) ).

fof(f437,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ hskp44
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f439,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ hskp19
      | ~ hskp50 ),
    inference(consistent_polarity_flipping,[],[f220]) ).

fof(f440,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp39
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f442,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | hskp7
      | hskp40 ),
    inference(consistent_polarity_flipping,[],[f223]) ).

fof(f443,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp9
      | ~ hskp41 ),
    inference(consistent_polarity_flipping,[],[f224]) ).

fof(f444,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ hskp20
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f225]) ).

fof(f445,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ hskp22
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp38 ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | c3_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ hskp33 ),
    inference(consistent_polarity_flipping,[],[f230]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ hskp45 ),
    inference(consistent_polarity_flipping,[],[f232]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f233]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | hskp51 ),
    inference(consistent_polarity_flipping,[],[f234]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp26 ),
    inference(consistent_polarity_flipping,[],[f235]) ).

fof(f455,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f236]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp34 ),
    inference(consistent_polarity_flipping,[],[f237]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ hskp35 ),
    inference(consistent_polarity_flipping,[],[f238]) ).

fof(f458,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ hskp37 ),
    inference(consistent_polarity_flipping,[],[f239]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | hskp39 ),
    inference(consistent_polarity_flipping,[],[f241]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ hskp49 ),
    inference(consistent_polarity_flipping,[],[f244]) ).

fof(f465,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ hskp46 ),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f247]) ).

fof(f467,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ hskp46 ),
    inference(consistent_polarity_flipping,[],[f248]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ hskp34 ),
    inference(consistent_polarity_flipping,[],[f250]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ hskp46 ),
    inference(consistent_polarity_flipping,[],[f251]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | ~ hskp32 ),
    inference(consistent_polarity_flipping,[],[f252]) ).

fof(f472,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ hskp38 ),
    inference(consistent_polarity_flipping,[],[f253]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f255]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f256]) ).

fof(f476,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c0_1(X2)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f257]) ).

fof(f477,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1) ),
    inference(consistent_polarity_flipping,[],[f258]) ).

fof(f478,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f259]) ).

fof(f479,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f260]) ).

fof(f481,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f484,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f487,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f491,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f493,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f479,f491,f487,f484,f481]) ).

fof(f495,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f496,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f498,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f501,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f478,f501,f487,f498,f495]) ).

fof(f505,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f508,definition,
    ( spl0_9
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,definition,
    ( spl0_10
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f512,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( spl0_8
    | spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f477,f511,f487,f508,f505]) ).

fof(f515,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f518,definition,
    ( spl0_12
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f519,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f520,plain,
    ( spl0_1
    | spl0_11
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f476,f518,f487,f515,f481]) ).

fof(f522,definition,
    ( spl0_13
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f526,definition,
    ( spl0_14
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f527,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f528,plain,
    ( spl0_13
    | spl0_10
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f475,f526,f487,f511,f522]) ).

fof(f530,definition,
    ( spl0_15
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f534,definition,
    ( spl0_16
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f535,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f537,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( spl0_15
    | spl0_16
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f474,f537,f487,f534,f530]) ).

fof(f546,definition,
    ( spl0_19
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ spl0_19
    | spl0_9
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f472,f526,f487,f508,f546]) ).

fof(f551,definition,
    ( spl0_20
  <=> hskp32 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f555,definition,
    ( spl0_21
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f556,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,definition,
    ( spl0_22
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f559,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f560,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f471,f558,f487,f555,f551]) ).

fof(f562,definition,
    ( spl0_23
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ spl0_23
    | spl0_12
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f470,f526,f487,f518,f562]) ).

fof(f567,definition,
    ( spl0_24
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f571,definition,
    ( spl0_25
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f572,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f469,f491,f487,f571,f567]) ).

fof(f583,definition,
    ( spl0_28
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f584,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( ~ spl0_23
    | spl0_16
    | spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f467,f583,f487,f534,f562]) ).

fof(f587,definition,
    ( spl0_29
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f590,plain,
    ( spl0_29
    | spl0_25
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f466,f526,f487,f571,f587]) ).

fof(f592,definition,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f593,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f594,plain,
    ( ~ spl0_23
    | spl0_30
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f465,f511,f487,f592,f562]) ).

fof(f604,definition,
    ( spl0_33
  <=> hskp49 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f608,definition,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f609,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f610,plain,
    ( ~ spl0_33
    | spl0_7
    | spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f463,f608,f487,f501,f604]) ).

fof(f616,definition,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f617,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f620,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f624,definition,
    ( spl0_38
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f625,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f461,f495,f487,f624,f620]) ).

fof(f628,definition,
    ( spl0_39
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f631,plain,
    ( spl0_39
    | spl0_25
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f460,f511,f487,f571,f628]) ).

fof(f638,definition,
    ( spl0_41
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f642,definition,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f643,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f644,plain,
    ( ~ spl0_41
    | spl0_42
    | spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f458,f583,f487,f642,f638]) ).

fof(f646,definition,
    ( spl0_43
  <=> hskp35 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ spl0_43
    | spl0_21
    | spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f457,f616,f487,f555,f646]) ).

fof(f650,plain,
    ( ~ spl0_24
    | spl0_8
    | spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f456,f487,f526,f505,f567]) ).

fof(f652,definition,
    ( spl0_44
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ spl0_44
    | spl0_8
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f455,f491,f487,f505,f652]) ).

fof(f657,definition,
    ( spl0_45
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f660,plain,
    ( spl0_45
    | spl0_11
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f454,f571,f487,f515,f657]) ).

fof(f662,definition,
    ( spl0_46
  <=> hskp51 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f665,plain,
    ( spl0_46
    | spl0_8
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f453,f495,f487,f505,f662]) ).

fof(f667,definition,
    ( spl0_47
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_47
    | spl0_8
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f452,f511,f487,f505,f667]) ).

fof(f672,definition,
    ( spl0_48
  <=> hskp45 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f676,definition,
    ( spl0_49
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f677,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( ~ spl0_48
    | spl0_49
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f451,f481,f487,f676,f672]) ).

fof(f680,definition,
    ( spl0_50
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f684,definition,
    ( spl0_51
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f685,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f687,definition,
    ( spl0_52
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f688,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( spl0_50
    | spl0_51
    | spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f450,f687,f487,f684,f680]) ).

fof(f691,definition,
    ( spl0_53
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ spl0_53
    | spl0_49
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f449,f558,f487,f676,f691]) ).

fof(f703,plain,
    ( ~ spl0_19
    | spl0_8
    | spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f447,f592,f487,f505,f546]) ).

fof(f717,definition,
    ( spl0_59
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f721,definition,
    ( spl0_60
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f724,plain,
    ( spl0_59
    | ~ spl0_60
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f445,f558,f487,f721,f717]) ).

fof(f726,definition,
    ( spl0_61
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f730,definition,
    ( spl0_62
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f733,plain,
    ( spl0_61
    | ~ spl0_62
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f444,f511,f487,f730,f726]) ).

fof(f735,definition,
    ( spl0_63
  <=> hskp41 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f739,definition,
    ( spl0_64
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f742,plain,
    ( ~ spl0_63
    | spl0_64
    | spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f443,f687,f487,f739,f735]) ).

fof(f744,definition,
    ( spl0_65
  <=> hskp40 ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f748,definition,
    ( spl0_66
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f751,plain,
    ( spl0_65
    | spl0_66
    | spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f442,f583,f487,f748,f744]) ).

fof(f762,definition,
    ( spl0_69
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f765,plain,
    ( spl0_69
    | spl0_39
    | spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f440,f608,f487,f628,f762]) ).

fof(f767,definition,
    ( spl0_70
  <=> hskp50 ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f771,definition,
    ( spl0_71
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f774,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f439,f616,f487,f771,f767]) ).

fof(f785,definition,
    ( spl0_74
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f789,definition,
    ( spl0_75
  <=> hskp44 ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f792,plain,
    ( spl0_74
    | ~ spl0_75
    | spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f437,f592,f487,f789,f785]) ).

fof(f794,definition,
    ( spl0_76
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f797,plain,
    ( spl0_51
    | ~ spl0_76
    | spl0_3 ),
    inference(avatar_split_clause,[],[f436,f487,f794,f684]) ).

fof(f799,definition,
    ( spl0_77
  <=> c2_1(a535) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f802,plain,
    ( spl0_44
    | spl0_77 ),
    inference(avatar_split_clause,[],[f435,f799,f652]) ).

fof(f824,definition,
    ( spl0_82
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f828,definition,
    ( spl0_83
  <=> c3_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f830,plain,
    ( ~ c3_1(a543)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f432,f828,f824]) ).

fof(f833,definition,
    ( spl0_84
  <=> c0_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ c0_1(a543)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_82
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f431,f833,f824]) ).

fof(f838,definition,
    ( spl0_85
  <=> c1_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_82
    | spl0_85 ),
    inference(avatar_split_clause,[],[f430,f838,f824]) ).

fof(f843,definition,
    ( spl0_86
  <=> c0_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ c0_1(a545)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( ~ spl0_29
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f208,f843,f587]) ).

fof(f848,definition,
    ( spl0_87
  <=> c2_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_29
    | spl0_87 ),
    inference(avatar_split_clause,[],[f429,f848,f587]) ).

fof(f863,definition,
    ( spl0_90
  <=> c0_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f866,plain,
    ( ~ spl0_50
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f204,f863,f680]) ).

fof(f868,definition,
    ( spl0_91
  <=> c2_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f871,plain,
    ( ~ spl0_50
    | spl0_91 ),
    inference(avatar_split_clause,[],[f426,f868,f680]) ).

fof(f873,definition,
    ( spl0_92
  <=> c1_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f876,plain,
    ( ~ spl0_66
    | spl0_92 ),
    inference(avatar_split_clause,[],[f425,f873,f748]) ).

fof(f878,definition,
    ( spl0_93
  <=> c2_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f881,plain,
    ( spl0_37
    | spl0_93 ),
    inference(avatar_split_clause,[],[f424,f878,f620]) ).

fof(f883,definition,
    ( spl0_94
  <=> c1_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f886,plain,
    ( spl0_37
    | spl0_94 ),
    inference(avatar_split_clause,[],[f423,f883,f620]) ).

fof(f888,definition,
    ( spl0_95
  <=> c3_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f890,plain,
    ( ~ c3_1(a552)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f891,plain,
    ( spl0_37
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f422,f888,f620]) ).

fof(f893,definition,
    ( spl0_96
  <=> c1_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f895,plain,
    ( c1_1(a554)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f896,plain,
    ( ~ spl0_64
    | spl0_96 ),
    inference(avatar_split_clause,[],[f421,f893,f739]) ).

fof(f898,definition,
    ( spl0_97
  <=> c2_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f901,plain,
    ( ~ spl0_64
    | spl0_97 ),
    inference(avatar_split_clause,[],[f420,f898,f739]) ).

fof(f903,definition,
    ( spl0_98
  <=> c0_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ c0_1(a554)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( ~ spl0_64
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f196,f903,f739]) ).

fof(f908,definition,
    ( spl0_99
  <=> c0_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ c0_1(a558)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( ~ spl0_15
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f195,f908,f530]) ).

fof(f913,definition,
    ( spl0_100
  <=> c1_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ spl0_15
    | spl0_100 ),
    inference(avatar_split_clause,[],[f419,f913,f530]) ).

fof(f918,definition,
    ( spl0_101
  <=> c0_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl0_74
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f193,f918,f785]) ).

fof(f923,definition,
    ( spl0_102
  <=> c3_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c3_1(a560)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_74
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f192,f923,f785]) ).

fof(f928,definition,
    ( spl0_103
  <=> c2_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ spl0_47
    | spl0_103 ),
    inference(avatar_split_clause,[],[f418,f928,f667]) ).

fof(f933,definition,
    ( spl0_104
  <=> c0_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f936,plain,
    ( ~ spl0_47
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f190,f933,f667]) ).

fof(f968,definition,
    ( spl0_111
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f972,definition,
    ( spl0_112
  <=> c0_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f975,plain,
    ( spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f411,f972,f968]) ).

fof(f977,definition,
    ( spl0_113
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f981,definition,
    ( spl0_114
  <=> c2_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ spl0_113
    | spl0_114 ),
    inference(avatar_split_clause,[],[f410,f981,f977]) ).

fof(f986,definition,
    ( spl0_115
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f990,definition,
    ( spl0_116
  <=> c1_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f993,plain,
    ( spl0_115
    | spl0_116 ),
    inference(avatar_split_clause,[],[f409,f990,f986]) ).

fof(f995,definition,
    ( spl0_117
  <=> c3_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f997,plain,
    ( ~ c3_1(a572)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f998,plain,
    ( spl0_115
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f408,f995,f986]) ).

fof(f1000,definition,
    ( spl0_118
  <=> c1_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1003,plain,
    ( spl0_71
    | spl0_118 ),
    inference(avatar_split_clause,[],[f407,f1000,f771]) ).

fof(f1005,definition,
    ( spl0_119
  <=> c0_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c0_1(a573)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1008,plain,
    ( spl0_71
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f406,f1005,f771]) ).

fof(f1010,definition,
    ( spl0_120
  <=> c2_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1013,plain,
    ( spl0_71
    | spl0_120 ),
    inference(avatar_split_clause,[],[f405,f1010,f771]) ).

fof(f1015,definition,
    ( spl0_121
  <=> c3_1(a575) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ c3_1(a575)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( spl0_62
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f404,f1015,f730]) ).

fof(f1020,definition,
    ( spl0_122
  <=> c0_1(a575) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1023,plain,
    ( spl0_62
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f403,f1020,f730]) ).

fof(f1025,definition,
    ( spl0_123
  <=> c2_1(a575) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1028,plain,
    ( spl0_62
    | spl0_123 ),
    inference(avatar_split_clause,[],[f402,f1025,f730]) ).

fof(f1030,definition,
    ( spl0_124
  <=> c3_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1032,plain,
    ( ~ c3_1(a576)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1033,plain,
    ( ~ spl0_61
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f173,f1030,f726]) ).

fof(f1035,definition,
    ( spl0_125
  <=> c0_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1038,plain,
    ( ~ spl0_61
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f172,f1035,f726]) ).

fof(f1040,definition,
    ( spl0_126
  <=> c0_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1042,plain,
    ( ~ c0_1(a577)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1043,plain,
    ( spl0_60
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f401,f1040,f721]) ).

fof(f1045,definition,
    ( spl0_127
  <=> c3_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1047,plain,
    ( ~ c3_1(a577)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1048,plain,
    ( spl0_60
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f400,f1045,f721]) ).

fof(f1050,definition,
    ( spl0_128
  <=> c1_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ spl0_59
    | spl0_128 ),
    inference(avatar_split_clause,[],[f399,f1050,f717]) ).

fof(f1055,definition,
    ( spl0_129
  <=> c0_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1058,plain,
    ( ~ spl0_59
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f168,f1055,f717]) ).

fof(f1060,definition,
    ( spl0_130
  <=> c3_1(a581) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1062,plain,
    ( ~ c3_1(a581)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f1060]) ).

fof(f1063,plain,
    ( ~ spl0_69
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f167,f1060,f762]) ).

fof(f1065,definition,
    ( spl0_131
  <=> c1_1(a581) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1068,plain,
    ( ~ spl0_69
    | spl0_131 ),
    inference(avatar_split_clause,[],[f398,f1065,f762]) ).

fof(f1070,definition,
    ( spl0_132
  <=> c1_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1073,plain,
    ( ~ spl0_13
    | spl0_132 ),
    inference(avatar_split_clause,[],[f397,f1070,f522]) ).

fof(f1075,definition,
    ( spl0_133
  <=> c2_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1078,plain,
    ( ~ spl0_13
    | spl0_133 ),
    inference(avatar_split_clause,[],[f396,f1075,f522]) ).

fof(f1080,definition,
    ( spl0_134
  <=> c3_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ c3_1(a582)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1083,plain,
    ( ~ spl0_13
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f163,f1080,f522]) ).

fof(f1085,definition,
    ( spl0_135
  <=> c3_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1087,plain,
    ( ~ c3_1(a584)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f1088,plain,
    ( ~ spl0_45
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f162,f1085,f657]) ).

fof(f1090,definition,
    ( spl0_136
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1094,definition,
    ( spl0_137
  <=> c3_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1096,plain,
    ( ~ c3_1(a586)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1097,plain,
    ( ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f161,f1094,f1090]) ).

fof(f1099,definition,
    ( spl0_138
  <=> c0_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1102,plain,
    ( ~ spl0_136
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f160,f1099,f1090]) ).

fof(f1104,definition,
    ( spl0_139
  <=> c0_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1107,plain,
    ( spl0_76
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f395,f1104,f794]) ).

fof(f1134,definition,
    ( spl0_145
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1138,definition,
    ( spl0_146
  <=> c1_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1141,plain,
    ( ~ spl0_145
    | spl0_146 ),
    inference(avatar_split_clause,[],[f391,f1138,f1134]) ).

fof(f1143,definition,
    ( spl0_147
  <=> c3_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1145,plain,
    ( ~ c3_1(a594)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1146,plain,
    ( ~ spl0_145
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f152,f1143,f1134]) ).

fof(f1148,definition,
    ( spl0_148
  <=> c0_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1150,plain,
    ( ~ c0_1(a594)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f1151,plain,
    ( ~ spl0_145
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f151,f1148,f1134]) ).

fof(f1153,definition,
    ( spl0_149
  <=> c2_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1156,plain,
    ( spl0_20
    | spl0_149 ),
    inference(avatar_split_clause,[],[f390,f1153,f551]) ).

fof(f1158,definition,
    ( spl0_150
  <=> c3_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1160,plain,
    ( ~ c3_1(a596)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1161,plain,
    ( spl0_20
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f389,f1158,f551]) ).

fof(f1163,definition,
    ( spl0_151
  <=> c1_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1165,plain,
    ( c1_1(a537)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1166,plain,
    ( spl0_24
    | spl0_151 ),
    inference(avatar_split_clause,[],[f388,f1163,f567]) ).

fof(f1168,definition,
    ( spl0_152
  <=> c3_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1170,plain,
    ( ~ c3_1(a544)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1168]) ).

fof(f1171,plain,
    ( spl0_41
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f387,f1168,f638]) ).

fof(f1173,definition,
    ( spl0_153
  <=> c2_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1176,plain,
    ( spl0_41
    | spl0_153 ),
    inference(avatar_split_clause,[],[f386,f1173,f638]) ).

fof(f1178,definition,
    ( spl0_154
  <=> c0_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1180,plain,
    ( ~ c0_1(a551)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1181,plain,
    ( ~ spl0_65
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f145,f1178,f744]) ).

fof(f1183,definition,
    ( spl0_155
  <=> c2_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1186,plain,
    ( spl0_63
    | spl0_155 ),
    inference(avatar_split_clause,[],[f385,f1183,f735]) ).

fof(f1198,definition,
    ( spl0_158
  <=> c3_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1200,plain,
    ( ~ c3_1(a559)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1201,plain,
    ( spl0_75
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f382,f1198,f789]) ).

fof(f1203,definition,
    ( spl0_159
  <=> c2_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1206,plain,
    ( spl0_48
    | spl0_159 ),
    inference(avatar_split_clause,[],[f381,f1203,f672]) ).

fof(f1208,definition,
    ( spl0_160
  <=> c3_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1210,plain,
    ( ~ c3_1(a561)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1208]) ).

fof(f1211,plain,
    ( spl0_48
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f380,f1208,f672]) ).

fof(f1213,definition,
    ( spl0_161
  <=> c0_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1216,plain,
    ( spl0_23
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f379,f1213,f562]) ).

fof(f1218,definition,
    ( spl0_162
  <=> c3_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1220,plain,
    ( ~ c3_1(a562)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1221,plain,
    ( spl0_23
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f378,f1218,f562]) ).

fof(f1238,definition,
    ( spl0_166
  <=> c1_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1241,plain,
    ( spl0_33
    | spl0_166 ),
    inference(avatar_split_clause,[],[f374,f1238,f604]) ).

fof(f1243,definition,
    ( spl0_167
  <=> c0_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1245,plain,
    ( ~ c0_1(a568)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f1246,plain,
    ( spl0_33
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f373,f1243,f604]) ).

fof(f1253,definition,
    ( spl0_169
  <=> c2_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1256,plain,
    ( ~ spl0_46
    | spl0_169 ),
    inference(avatar_split_clause,[],[f371,f1253,f662]) ).

fof(f1258,definition,
    ( spl0_170
  <=> hskp52 ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1262,definition,
    ( spl0_171
  <=> c0_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1264,plain,
    ( ~ c0_1(a595)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f1265,plain,
    ( spl0_170
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f370,f1262,f1258]) ).

fof(f1267,definition,
    ( spl0_172
  <=> c0_1(a535) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1269,plain,
    ( c0_1(a535)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1270,plain,
    ( spl0_172
    | spl0_44 ),
    inference(avatar_split_clause,[],[f369,f652,f1267]) ).

fof(f1272,definition,
    ( spl0_173
  <=> c1_1(a535) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1275,plain,
    ( ~ spl0_173
    | spl0_44 ),
    inference(avatar_split_clause,[],[f368,f652,f1272]) ).

fof(f1287,definition,
    ( spl0_176
  <=> c1_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1290,plain,
    ( ~ spl0_176
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f365,f587,f1287]) ).

fof(f1297,definition,
    ( spl0_178
  <=> c3_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1299,plain,
    ( c3_1(a548)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f1300,plain,
    ( spl0_178
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f122,f680,f1297]) ).

fof(f1302,definition,
    ( spl0_179
  <=> c3_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1304,plain,
    ( c3_1(a550)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1305,plain,
    ( spl0_179
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f121,f748,f1302]) ).

fof(f1307,definition,
    ( spl0_180
  <=> c0_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1310,plain,
    ( spl0_180
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f120,f748,f1307]) ).

fof(f1312,definition,
    ( spl0_181
  <=> c3_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1314,plain,
    ( c3_1(a558)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1315,plain,
    ( spl0_181
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f119,f530,f1312]) ).

fof(f1317,definition,
    ( spl0_182
  <=> c1_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1320,plain,
    ( ~ spl0_182
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f363,f785,f1317]) ).

fof(f1322,definition,
    ( spl0_183
  <=> c3_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1324,plain,
    ( c3_1(a563)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1325,plain,
    ( spl0_183
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f117,f667,f1322]) ).

fof(f1342,definition,
    ( spl0_187
  <=> c1_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

fof(f1345,plain,
    ( ~ spl0_187
    | spl0_111 ),
    inference(avatar_split_clause,[],[f360,f968,f1342]) ).

fof(f1347,definition,
    ( spl0_188
  <=> c3_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

fof(f1349,plain,
    ( c3_1(a570)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1350,plain,
    ( spl0_188
    | spl0_111 ),
    inference(avatar_split_clause,[],[f359,f968,f1347]) ).

fof(f1352,definition,
    ( spl0_189
  <=> c3_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1354,plain,
    ( c3_1(a571)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f1355,plain,
    ( spl0_189
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f111,f977,f1352]) ).

fof(f1357,definition,
    ( spl0_190
  <=> c0_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1360,plain,
    ( spl0_190
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f110,f977,f1357]) ).

fof(f1362,definition,
    ( spl0_191
  <=> c0_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

fof(f1364,plain,
    ( c0_1(a572)
    | ~ spl0_191 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f1365,plain,
    ( spl0_191
    | spl0_115 ),
    inference(avatar_split_clause,[],[f358,f986,f1362]) ).

fof(f1367,definition,
    ( spl0_192
  <=> c1_1(a576) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

fof(f1370,plain,
    ( ~ spl0_192
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f357,f726,f1367]) ).

fof(f1372,definition,
    ( spl0_193
  <=> c1_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

fof(f1375,plain,
    ( ~ spl0_193
    | spl0_60 ),
    inference(avatar_split_clause,[],[f356,f721,f1372]) ).

fof(f1377,definition,
    ( spl0_194
  <=> c3_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1379,plain,
    ( c3_1(a578)
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f1380,plain,
    ( spl0_194
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f106,f717,f1377]) ).

fof(f1382,definition,
    ( spl0_195
  <=> c2_1(a581) ),
    introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).

fof(f1385,plain,
    ( ~ spl0_195
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f355,f762,f1382]) ).

fof(f1387,definition,
    ( spl0_196
  <=> c1_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

fof(f1390,plain,
    ( ~ spl0_196
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f354,f657,f1387]) ).

fof(f1392,definition,
    ( spl0_197
  <=> c0_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

fof(f1394,plain,
    ( c0_1(a584)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f1395,plain,
    ( spl0_197
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f103,f657,f1392]) ).

fof(f1397,definition,
    ( spl0_198
  <=> c1_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1400,plain,
    ( ~ spl0_198
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f353,f1090,f1397]) ).

fof(f1402,definition,
    ( spl0_199
  <=> c3_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

fof(f1404,plain,
    ( c3_1(a589)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1402]) ).

fof(f1405,plain,
    ( spl0_199
    | spl0_76 ),
    inference(avatar_split_clause,[],[f352,f794,f1402]) ).

fof(f1407,definition,
    ( spl0_200
  <=> c2_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).

fof(f1410,plain,
    ( ~ spl0_200
    | spl0_76 ),
    inference(avatar_split_clause,[],[f351,f794,f1407]) ).

fof(f1417,definition,
    ( spl0_202
  <=> c0_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

fof(f1419,plain,
    ( c0_1(a596)
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f1420,plain,
    ( spl0_202
    | spl0_20 ),
    inference(avatar_split_clause,[],[f349,f551,f1417]) ).

fof(f1422,definition,
    ( spl0_203
  <=> c0_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).

fof(f1424,plain,
    ( c0_1(a536)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1425,plain,
    ( spl0_203
    | spl0_53 ),
    inference(avatar_split_clause,[],[f348,f691,f1422]) ).

fof(f1427,definition,
    ( spl0_204
  <=> c2_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).

fof(f1430,plain,
    ( ~ spl0_204
    | spl0_53 ),
    inference(avatar_split_clause,[],[f347,f691,f1427]) ).

fof(f1432,definition,
    ( spl0_205
  <=> c1_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

fof(f1435,plain,
    ( ~ spl0_205
    | spl0_53 ),
    inference(avatar_split_clause,[],[f346,f691,f1432]) ).

fof(f1437,definition,
    ( spl0_206
  <=> c3_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1439,plain,
    ( c3_1(a537)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f1440,plain,
    ( spl0_206
    | spl0_24 ),
    inference(avatar_split_clause,[],[f345,f567,f1437]) ).

fof(f1442,definition,
    ( spl0_207
  <=> c0_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1444,plain,
    ( c0_1(a537)
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1445,plain,
    ( spl0_207
    | spl0_24 ),
    inference(avatar_split_clause,[],[f344,f567,f1442]) ).

fof(f1447,definition,
    ( spl0_208
  <=> c3_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1449,plain,
    ( c3_1(a538)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1447]) ).

fof(f1450,plain,
    ( spl0_208
    | spl0_43 ),
    inference(avatar_split_clause,[],[f343,f646,f1447]) ).

fof(f1452,definition,
    ( spl0_209
  <=> c1_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1455,plain,
    ( ~ spl0_209
    | spl0_43 ),
    inference(avatar_split_clause,[],[f342,f646,f1452]) ).

fof(f1457,definition,
    ( spl0_210
  <=> c2_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1460,plain,
    ( ~ spl0_210
    | spl0_43 ),
    inference(avatar_split_clause,[],[f341,f646,f1457]) ).

fof(f1462,definition,
    ( spl0_211
  <=> c2_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1466,definition,
    ( spl0_212
  <=> hskp36 ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

fof(f1469,plain,
    ( ~ spl0_211
    | spl0_212 ),
    inference(avatar_split_clause,[],[f340,f1466,f1462]) ).

fof(f1471,definition,
    ( spl0_213
  <=> c1_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1474,plain,
    ( ~ spl0_213
    | spl0_212 ),
    inference(avatar_split_clause,[],[f339,f1466,f1471]) ).

fof(f1476,definition,
    ( spl0_214
  <=> c0_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1478,plain,
    ( c0_1(a541)
    | ~ spl0_214 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f1479,plain,
    ( spl0_214
    | spl0_212 ),
    inference(avatar_split_clause,[],[f338,f1466,f1476]) ).

fof(f1481,definition,
    ( spl0_215
  <=> c1_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f1484,plain,
    ( ~ spl0_215
    | spl0_41 ),
    inference(avatar_split_clause,[],[f337,f638,f1481]) ).

fof(f1486,definition,
    ( spl0_216
  <=> c0_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).

fof(f1488,plain,
    ( c0_1(a547)
    | ~ spl0_216 ),
    inference(avatar_component_clause,[],[f1486]) ).

fof(f1489,plain,
    ( spl0_216
    | spl0_19 ),
    inference(avatar_split_clause,[],[f336,f546,f1486]) ).

fof(f1491,definition,
    ( spl0_217
  <=> c1_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1494,plain,
    ( ~ spl0_217
    | spl0_19 ),
    inference(avatar_split_clause,[],[f335,f546,f1491]) ).

fof(f1496,definition,
    ( spl0_218
  <=> c2_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1499,plain,
    ( ~ spl0_218
    | spl0_19 ),
    inference(avatar_split_clause,[],[f334,f546,f1496]) ).

fof(f1501,definition,
    ( spl0_219
  <=> c1_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1504,plain,
    ( ~ spl0_219
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f333,f628,f1501]) ).

fof(f1506,definition,
    ( spl0_220
  <=> c2_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1509,plain,
    ( ~ spl0_220
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f332,f628,f1506]) ).

fof(f1511,definition,
    ( spl0_221
  <=> c3_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

fof(f1513,plain,
    ( c3_1(a549)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1514,plain,
    ( spl0_221
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f80,f628,f1511]) ).

fof(f1516,definition,
    ( spl0_222
  <=> c2_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1519,plain,
    ( ~ spl0_222
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f331,f744,f1516]) ).

fof(f1521,definition,
    ( spl0_223
  <=> c3_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1523,plain,
    ( c3_1(a551)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1521]) ).

fof(f1524,plain,
    ( spl0_223
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f78,f744,f1521]) ).

fof(f1526,definition,
    ( spl0_224
  <=> c0_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1529,plain,
    ( spl0_224
    | spl0_63 ),
    inference(avatar_split_clause,[],[f330,f735,f1526]) ).

fof(f1531,definition,
    ( spl0_225
  <=> c3_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

fof(f1533,plain,
    ( c3_1(a555)
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f1531]) ).

fof(f1534,plain,
    ( spl0_225
    | spl0_63 ),
    inference(avatar_split_clause,[],[f329,f735,f1531]) ).

fof(f1556,definition,
    ( spl0_230
  <=> c2_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).

fof(f1559,plain,
    ( ~ spl0_230
    | spl0_75 ),
    inference(avatar_split_clause,[],[f327,f789,f1556]) ).

fof(f1561,definition,
    ( spl0_231
  <=> c0_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

fof(f1563,plain,
    ( c0_1(a559)
    | ~ spl0_231 ),
    inference(avatar_component_clause,[],[f1561]) ).

fof(f1564,plain,
    ( spl0_231
    | spl0_75 ),
    inference(avatar_split_clause,[],[f326,f789,f1561]) ).

fof(f1566,definition,
    ( spl0_232
  <=> c0_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

fof(f1569,plain,
    ( spl0_232
    | spl0_48 ),
    inference(avatar_split_clause,[],[f325,f672,f1566]) ).

fof(f1571,definition,
    ( spl0_233
  <=> c1_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).

fof(f1574,plain,
    ( ~ spl0_233
    | spl0_23 ),
    inference(avatar_split_clause,[],[f324,f562,f1571]) ).

fof(f1591,definition,
    ( spl0_237
  <=> c2_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).

fof(f1594,plain,
    ( ~ spl0_237
    | spl0_33 ),
    inference(avatar_split_clause,[],[f321,f604,f1591]) ).

fof(f1596,definition,
    ( spl0_238
  <=> c1_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).

fof(f1599,plain,
    ( ~ spl0_238
    | spl0_70 ),
    inference(avatar_split_clause,[],[f320,f767,f1596]) ).

fof(f1601,definition,
    ( spl0_239
  <=> c0_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).

fof(f1603,plain,
    ( c0_1(a574)
    | ~ spl0_239 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f1604,plain,
    ( spl0_239
    | spl0_70 ),
    inference(avatar_split_clause,[],[f319,f767,f1601]) ).

fof(f1606,definition,
    ( spl0_240
  <=> c3_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).

fof(f1608,plain,
    ( c3_1(a583)
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f1609,plain,
    ( spl0_240
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f61,f662,f1606]) ).

fof(f1611,definition,
    ( spl0_241
  <=> c0_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1613,plain,
    ( c0_1(a583)
    | ~ spl0_241 ),
    inference(avatar_component_clause,[],[f1611]) ).

fof(f1614,plain,
    ( spl0_241
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f60,f662,f1611]) ).

fof(f1616,definition,
    ( spl0_242
  <=> c1_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1618,plain,
    ( ~ c1_1(a595)
    | spl0_242 ),
    inference(avatar_component_clause,[],[f1616]) ).

fof(f1619,plain,
    ( ~ spl0_242
    | spl0_170 ),
    inference(avatar_split_clause,[],[f318,f1258,f1616]) ).

fof(f1621,definition,
    ( spl0_243
  <=> c2_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1624,plain,
    ( ~ spl0_243
    | spl0_170 ),
    inference(avatar_split_clause,[],[f317,f1258,f1621]) ).

fof(f1625,plain,
    ( ~ spl0_170
    | spl0_145
    | spl0_65 ),
    inference(avatar_split_clause,[],[f316,f744,f1134,f1258]) ).

fof(f1626,plain,
    ( spl0_29
    | spl0_136
    | spl0_50 ),
    inference(avatar_split_clause,[],[f56,f680,f1090,f587]) ).

fof(f1627,plain,
    ( ~ spl0_115
    | spl0_113
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f315,f968,f977,f986]) ).

fof(f1628,plain,
    ( ~ spl0_82
    | ~ spl0_24
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f314,f1466,f567,f824]) ).

fof(f1660,plain,
    ( ~ spl0_3
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f282,f1134,f487]) ).

fof(f1669,plain,
    ( ~ spl0_3
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f273,f744,f487]) ).

fof(f1681,plain,
    ( ~ spl0_3
    | spl0_170 ),
    inference(avatar_split_clause,[],[f261,f1258,f487]) ).

fof(f1684,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(resolution,[],[f506,f496]) ).

fof(f1685,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f506,f485]) ).

fof(f1690,plain,
    ( ~ c1_1(a561)
    | ~ c2_1(a561)
    | ~ spl0_8
    | spl0_160 ),
    inference(resolution,[],[f506,f1210]) ).

fof(f1721,plain,
    ( ~ c1_1(a582)
    | ~ c2_1(a582)
    | ~ spl0_8
    | spl0_134 ),
    inference(resolution,[],[f506,f1082]) ).

fof(f1722,plain,
    ( ~ c1_1(a575)
    | ~ c2_1(a575)
    | ~ spl0_8
    | spl0_121 ),
    inference(resolution,[],[f506,f1017]) ).

fof(f1723,plain,
    ( ~ c1_1(a552)
    | ~ c2_1(a552)
    | ~ spl0_8
    | spl0_95 ),
    inference(resolution,[],[f506,f890]) ).

fof(f1725,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f1685]) ).

fof(f1726,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f1684]) ).

fof(f1728,definition,
    ( spl0_244
  <=> c2_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1736,plain,
    ( ~ c2_1(a570)
    | c1_1(a570)
    | ~ spl0_10
    | ~ spl0_188 ),
    inference(resolution,[],[f512,f1349]) ).

fof(f1740,definition,
    ( spl0_245
  <=> c2_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1743,plain,
    ( spl0_187
    | ~ spl0_245
    | ~ spl0_10
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1736,f1347,f511,f1740,f1342]) ).

fof(f1745,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(resolution,[],[f516,f506]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1745]) ).

fof(f1747,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(resolution,[],[f535,f492]) ).

fof(f1748,plain,
    ( c2_1(a595)
    | c1_1(a595)
    | ~ spl0_16
    | spl0_171 ),
    inference(resolution,[],[f535,f1264]) ).

fof(f1758,plain,
    ( c2_1(a551)
    | c1_1(a551)
    | ~ spl0_16
    | spl0_154 ),
    inference(resolution,[],[f535,f1180]) ).

fof(f1790,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1747]) ).

fof(f1796,definition,
    ( spl0_246
  <=> c1_1(a575) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

fof(f1806,definition,
    ( spl0_248
  <=> c2_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

fof(f1812,definition,
    ( spl0_249
  <=> c1_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

fof(f1822,definition,
    ( spl0_251
  <=> c2_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

fof(f1843,definition,
    ( spl0_255
  <=> c1_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1848,definition,
    ( spl0_256
  <=> c2_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1858,definition,
    ( spl0_258
  <=> c2_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).

fof(f1868,definition,
    ( spl0_260
  <=> c2_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).

fof(f1878,definition,
    ( spl0_262
  <=> c1_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).

fof(f1884,definition,
    ( spl0_263
  <=> c1_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1890,definition,
    ( spl0_264
  <=> c2_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f1897,definition,
    ( spl0_265
  <=> c1_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f1900,plain,
    ( spl0_265
    | spl0_222
    | ~ spl0_16
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1758,f1178,f534,f1516,f1897]) ).

fof(f1902,definition,
    ( spl0_266
  <=> c1_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).

fof(f1912,definition,
    ( spl0_268
  <=> c1_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).

fof(f1917,definition,
    ( spl0_269
  <=> c1_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f1922,definition,
    ( spl0_270
  <=> c2_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).

fof(f1929,definition,
    ( spl0_271
  <=> c2_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).

fof(f1934,definition,
    ( spl0_272
  <=> c1_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).

fof(f1941,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(resolution,[],[f556,f538]) ).

fof(f1964,plain,
    ( c1_1(a584)
    | c2_1(a584)
    | ~ spl0_21
    | spl0_135 ),
    inference(resolution,[],[f556,f1087]) ).

fof(f1967,plain,
    ( c1_1(a577)
    | c2_1(a577)
    | ~ spl0_21
    | spl0_127 ),
    inference(resolution,[],[f556,f1047]) ).

fof(f1988,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1941]) ).

fof(f2027,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(resolution,[],[f559,f538]) ).

fof(f2029,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(resolution,[],[f559,f512]) ).

fof(f2073,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2029]) ).

fof(f2074,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2027]) ).

fof(f2111,definition,
    ( spl0_280
  <=> c0_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).

fof(f2112,plain,
    ( c0_1(a544)
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f2111]) ).

fof(f2130,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2073,f558,f511,f481]) ).

fof(f2141,plain,
    ( c2_1(a541)
    | c1_1(a541)
    | ~ spl0_4
    | ~ spl0_214 ),
    inference(resolution,[],[f1478,f492]) ).

fof(f2143,plain,
    ( ~ c2_1(a596)
    | c1_1(a596)
    | ~ spl0_1
    | ~ spl0_202 ),
    inference(resolution,[],[f482,f1419]) ).

fof(f2145,plain,
    ( spl0_263
    | ~ spl0_149
    | ~ spl0_1
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f2143,f1417,f481,f1153,f1884]) ).

fof(f2146,plain,
    ( spl0_4
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2074,f558,f537,f491]) ).

fof(f2172,plain,
    ( c1_1(a561)
    | ~ c0_1(a561)
    | ~ spl0_22
    | spl0_160 ),
    inference(resolution,[],[f559,f1210]) ).

fof(f2173,plain,
    ( c1_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_22
    | spl0_158 ),
    inference(resolution,[],[f559,f1200]) ).

fof(f2184,plain,
    ( c1_1(a584)
    | ~ c0_1(a584)
    | ~ spl0_22
    | spl0_135 ),
    inference(resolution,[],[f559,f1087]) ).

fof(f2219,plain,
    ( c0_1(a544)
    | c1_1(a544)
    | ~ spl0_25
    | spl0_152 ),
    inference(resolution,[],[f572,f1170]) ).

fof(f2223,plain,
    ( c0_1(a586)
    | c1_1(a586)
    | ~ spl0_25
    | spl0_137 ),
    inference(resolution,[],[f572,f1096]) ).

fof(f2228,plain,
    ( c0_1(a576)
    | c1_1(a576)
    | ~ spl0_25
    | spl0_124 ),
    inference(resolution,[],[f572,f1032]) ).

fof(f2234,plain,
    ( c0_1(a560)
    | c1_1(a560)
    | ~ spl0_25
    | spl0_102 ),
    inference(resolution,[],[f572,f925]) ).

fof(f2250,plain,
    ( spl0_182
    | spl0_101
    | ~ spl0_25
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2234,f923,f571,f918,f1317]) ).

fof(f2256,plain,
    ( spl0_192
    | spl0_125
    | ~ spl0_25
    | spl0_124 ),
    inference(avatar_split_clause,[],[f2228,f1030,f571,f1035,f1367]) ).

fof(f2265,plain,
    ( spl0_215
    | spl0_280
    | ~ spl0_25
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2219,f1168,f571,f2111,f1481]) ).

fof(f2279,plain,
    ( ~ spl0_232
    | spl0_269
    | ~ spl0_22
    | spl0_160 ),
    inference(avatar_split_clause,[],[f2172,f1208,f558,f1917,f1566]) ).

fof(f2323,plain,
    ( ~ c2_1(a571)
    | c1_1(a571)
    | ~ spl0_10
    | ~ spl0_189 ),
    inference(resolution,[],[f1354,f512]) ).

fof(f2333,plain,
    ( ~ c1_1(a555)
    | ~ c0_1(a555)
    | ~ spl0_5
    | ~ spl0_225 ),
    inference(resolution,[],[f1533,f496]) ).

fof(f2360,plain,
    ( c2_1(a543)
    | c0_1(a543)
    | ~ spl0_12
    | spl0_83 ),
    inference(resolution,[],[f519,f830]) ).

fof(f2361,plain,
    ( spl0_84
    | spl0_244
    | ~ spl0_12
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2360,f828,f518,f1728,f833]) ).

fof(f2378,plain,
    ( spl0_255
    | ~ spl0_114
    | ~ spl0_10
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2323,f1352,f511,f981,f1843]) ).

fof(f2398,plain,
    ( ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_7
    | ~ spl0_240 ),
    inference(resolution,[],[f502,f1608]) ).

fof(f2403,plain,
    ( ~ c2_1(a555)
    | ~ c0_1(a555)
    | ~ spl0_7
    | ~ spl0_225 ),
    inference(resolution,[],[f502,f1533]) ).

fof(f2428,plain,
    ( c2_1(a581)
    | ~ c1_1(a581)
    | ~ spl0_6
    | spl0_130 ),
    inference(resolution,[],[f499,f1062]) ).

fof(f2486,plain,
    ( ~ spl0_123
    | ~ spl0_246
    | ~ spl0_8
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1722,f1015,f505,f1796,f1025]) ).

fof(f2496,plain,
    ( c0_1(a575)
    | c1_1(a575)
    | ~ spl0_25
    | spl0_121 ),
    inference(resolution,[],[f1017,f572]) ).

fof(f2508,plain,
    ( ~ c2_1(a583)
    | c1_1(a583)
    | ~ spl0_10
    | ~ spl0_240 ),
    inference(resolution,[],[f512,f1608]) ).

fof(f2516,plain,
    ( ~ c2_1(a555)
    | c1_1(a555)
    | ~ spl0_10
    | ~ spl0_225 ),
    inference(resolution,[],[f512,f1533]) ).

fof(f2539,plain,
    ( ~ c2_1(a548)
    | c1_1(a548)
    | ~ spl0_10
    | ~ spl0_178 ),
    inference(resolution,[],[f512,f1299]) ).

fof(f2553,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(resolution,[],[f527,f572]) ).

fof(f2565,plain,
    ( c1_1(a551)
    | c2_1(a551)
    | ~ spl0_14
    | ~ spl0_223 ),
    inference(resolution,[],[f527,f1523]) ).

fof(f2566,plain,
    ( c1_1(a549)
    | c2_1(a549)
    | ~ spl0_14
    | ~ spl0_221 ),
    inference(resolution,[],[f527,f1513]) ).

fof(f2568,plain,
    ( c1_1(a538)
    | c2_1(a538)
    | ~ spl0_14
    | ~ spl0_208 ),
    inference(resolution,[],[f527,f1449]) ).

fof(f2571,plain,
    ( c1_1(a589)
    | c2_1(a589)
    | ~ spl0_14
    | ~ spl0_199 ),
    inference(resolution,[],[f527,f1404]) ).

fof(f2597,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f2553]) ).

fof(f2607,plain,
    ( spl0_200
    | spl0_262
    | ~ spl0_14
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2571,f1402,f526,f1878,f1407]) ).

fof(f2609,plain,
    ( spl0_210
    | spl0_209
    | ~ spl0_14
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f2568,f1447,f526,f1452,f1457]) ).

fof(f2618,plain,
    ( spl0_16
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2597,f571,f526,f534]) ).

fof(f2712,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(resolution,[],[f593,f506]) ).

fof(f2753,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f2712]) ).

fof(f2766,plain,
    ( ~ spl0_231
    | spl0_268
    | ~ spl0_22
    | spl0_158 ),
    inference(avatar_split_clause,[],[f2173,f1198,f558,f1912,f1561]) ).

fof(f2768,plain,
    ( c1_1(a559)
    | c2_1(a559)
    | ~ spl0_21
    | spl0_158 ),
    inference(resolution,[],[f1200,f556]) ).

fof(f2770,plain,
    ( c2_1(a559)
    | ~ c1_1(a559)
    | ~ spl0_6
    | spl0_158 ),
    inference(resolution,[],[f1200,f499]) ).

fof(f2774,plain,
    ( ~ spl0_268
    | spl0_230
    | ~ spl0_6
    | spl0_158 ),
    inference(avatar_split_clause,[],[f2770,f1198,f498,f1556,f1912]) ).

fof(f2803,plain,
    ( ~ c2_1(a544)
    | c1_1(a544)
    | ~ spl0_1
    | ~ spl0_280 ),
    inference(resolution,[],[f2112,f482]) ).

fof(f2836,plain,
    ( c0_1(a570)
    | ~ c2_1(a570)
    | ~ spl0_30
    | ~ spl0_188 ),
    inference(resolution,[],[f593,f1349]) ).

fof(f2839,plain,
    ( c0_1(a563)
    | ~ c2_1(a563)
    | ~ spl0_30
    | ~ spl0_183 ),
    inference(resolution,[],[f593,f1324]) ).

fof(f2843,plain,
    ( c0_1(a548)
    | ~ c2_1(a548)
    | ~ spl0_30
    | ~ spl0_178 ),
    inference(resolution,[],[f593,f1299]) ).

fof(f2856,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(resolution,[],[f609,f512]) ).

fof(f2857,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f2856]) ).

fof(f2922,plain,
    ( ~ c2_1(a584)
    | c1_1(a584)
    | ~ spl0_1
    | ~ spl0_197 ),
    inference(resolution,[],[f1394,f482]) ).

fof(f2978,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(resolution,[],[f625,f584]) ).

fof(f2985,plain,
    ( ~ c1_1(a551)
    | c2_1(a551)
    | ~ spl0_38
    | spl0_154 ),
    inference(resolution,[],[f625,f1180]) ).

fof(f3000,plain,
    ( ~ c1_1(a543)
    | c2_1(a543)
    | ~ spl0_38
    | spl0_84 ),
    inference(resolution,[],[f625,f835]) ).

fof(f3002,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f2978]) ).

fof(f3003,plain,
    ( spl0_244
    | ~ spl0_85
    | ~ spl0_38
    | spl0_84 ),
    inference(avatar_split_clause,[],[f3000,f833,f624,f838,f1728]) ).

fof(f3018,plain,
    ( spl0_36
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1726,f505,f495,f616]) ).

fof(f3045,plain,
    ( spl0_215
    | ~ spl0_153
    | ~ spl0_1
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f2803,f2111,f481,f1173,f1481]) ).

fof(f3053,plain,
    ( ~ spl0_245
    | spl0_112
    | ~ spl0_30
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2836,f1347,f592,f972,f1740]) ).

fof(f3057,plain,
    ( ~ spl0_91
    | spl0_90
    | ~ spl0_30
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2843,f1297,f592,f863,f868]) ).

fof(f3119,plain,
    ( ~ c2_1(a574)
    | c1_1(a574)
    | ~ spl0_1
    | ~ spl0_239 ),
    inference(resolution,[],[f1603,f482]) ).

fof(f3121,plain,
    ( c2_1(a574)
    | c1_1(a574)
    | ~ spl0_4
    | ~ spl0_239 ),
    inference(resolution,[],[f492,f1603]) ).

fof(f3131,plain,
    ( c2_1(a584)
    | c1_1(a584)
    | ~ spl0_4
    | ~ spl0_197 ),
    inference(resolution,[],[f492,f1394]) ).

fof(f3160,plain,
    ( spl0_272
    | ~ spl0_169
    | ~ spl0_10
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f2508,f1606,f511,f1253,f1934]) ).

fof(f3164,plain,
    ( spl0_266
    | ~ spl0_155
    | ~ spl0_10
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2516,f1531,f511,f1183,f1902]) ).

fof(f3193,plain,
    ( c2_1(a537)
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_151 ),
    inference(resolution,[],[f3002,f1165]) ).

fof(f3233,plain,
    ( spl0_264
    | ~ spl0_28
    | ~ spl0_38
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3193,f1163,f624,f583,f1890]) ).

fof(f3244,plain,
    ( ~ spl0_241
    | ~ spl0_169
    | ~ spl0_7
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f2398,f1606,f501,f1253,f1611]) ).

fof(f3253,plain,
    ( spl0_238
    | spl0_271
    | ~ spl0_4
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f3121,f1601,f491,f1929,f1596]) ).

fof(f3261,plain,
    ( spl0_238
    | ~ spl0_271
    | ~ spl0_1
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f3119,f1601,f481,f1929,f1596]) ).

fof(f3288,plain,
    ( c2_1(a537)
    | ~ c0_1(a537)
    | ~ spl0_17
    | ~ spl0_206 ),
    inference(resolution,[],[f538,f1439]) ).

fof(f3328,plain,
    ( ~ c1_1(a572)
    | c2_1(a572)
    | ~ spl0_28
    | ~ spl0_191 ),
    inference(resolution,[],[f584,f1364]) ).

fof(f3341,plain,
    ( ~ c2_1(a583)
    | ~ c1_1(a583)
    | ~ spl0_36
    | ~ spl0_241 ),
    inference(resolution,[],[f617,f1613]) ).

fof(f3345,plain,
    ( ~ c2_1(a537)
    | ~ c1_1(a537)
    | ~ spl0_36
    | ~ spl0_207 ),
    inference(resolution,[],[f617,f1444]) ).

fof(f3400,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2857,f608,f511,f481]) ).

fof(f3415,plain,
    ( spl0_246
    | spl0_122
    | ~ spl0_25
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2496,f1015,f571,f1020,f1796]) ).

fof(f3483,plain,
    ( ~ c1_1(a559)
    | c2_1(a559)
    | ~ spl0_28
    | ~ spl0_231 ),
    inference(resolution,[],[f1563,f584]) ).

fof(f3526,plain,
    ( spl0_222
    | spl0_265
    | ~ spl0_14
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f2565,f1521,f526,f1897,f1516]) ).

fof(f3527,plain,
    ( spl0_220
    | spl0_219
    | ~ spl0_14
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f2566,f1511,f526,f1501,f1506]) ).

fof(f3541,plain,
    ( spl0_242
    | spl0_243
    | ~ spl0_16
    | spl0_171 ),
    inference(avatar_split_clause,[],[f1748,f1262,f534,f1621,f1616]) ).

fof(f3568,plain,
    ( spl0_249
    | ~ spl0_91
    | ~ spl0_10
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2539,f1297,f511,f868,f1812]) ).

fof(f3579,plain,
    ( spl0_4
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1988,f555,f537,f491]) ).

fof(f3586,plain,
    ( spl0_258
    | spl0_193
    | ~ spl0_21
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1967,f1045,f555,f1372,f1858]) ).

fof(f3592,plain,
    ( spl0_230
    | spl0_268
    | ~ spl0_21
    | spl0_158 ),
    inference(avatar_split_clause,[],[f2768,f1198,f555,f1912,f1556]) ).

fof(f3616,plain,
    ( spl0_213
    | spl0_211
    | ~ spl0_4
    | ~ spl0_214 ),
    inference(avatar_split_clause,[],[f2141,f1476,f491,f1462,f1471]) ).

fof(f3619,plain,
    ( ~ spl0_151
    | ~ spl0_264
    | ~ spl0_36
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f3345,f1442,f616,f1890,f1163]) ).

fof(f3621,plain,
    ( ~ c1_1(a543)
    | ~ c2_1(a543)
    | ~ spl0_8
    | spl0_83 ),
    inference(resolution,[],[f830,f506]) ).

fof(f3639,plain,
    ( ~ c1_1(a594)
    | ~ c2_1(a594)
    | ~ spl0_8
    | spl0_147 ),
    inference(resolution,[],[f1145,f506]) ).

fof(f3645,plain,
    ( c0_1(a562)
    | c1_1(a562)
    | ~ spl0_25
    | spl0_162 ),
    inference(resolution,[],[f1220,f572]) ).

fof(f3653,plain,
    ( ~ c2_1(a572)
    | ~ c1_1(a572)
    | ~ spl0_36
    | ~ spl0_191 ),
    inference(resolution,[],[f1364,f617]) ).

fof(f3679,plain,
    ( ~ c2_1(a535)
    | c1_1(a535)
    | ~ spl0_1
    | ~ spl0_172 ),
    inference(resolution,[],[f482,f1269]) ).

fof(f3683,plain,
    ( spl0_173
    | ~ spl0_77
    | ~ spl0_1
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3679,f1267,f481,f799,f1272]) ).

fof(f3689,plain,
    ( c2_1(a559)
    | c1_1(a559)
    | ~ spl0_4
    | ~ spl0_231 ),
    inference(resolution,[],[f492,f1563]) ).

fof(f3710,plain,
    ( c2_1(a595)
    | ~ spl0_4
    | ~ spl0_16
    | spl0_242 ),
    inference(resolution,[],[f1790,f1618]) ).

fof(f3757,plain,
    ( ~ c2_1(a537)
    | ~ c0_1(a537)
    | ~ spl0_7
    | ~ spl0_206 ),
    inference(resolution,[],[f502,f1439]) ).

fof(f3791,plain,
    ( c1_1(a570)
    | c2_1(a570)
    | ~ spl0_14
    | ~ spl0_188 ),
    inference(resolution,[],[f527,f1349]) ).

fof(f3910,plain,
    ( ~ c1_1(a568)
    | c2_1(a568)
    | ~ spl0_38
    | spl0_167 ),
    inference(resolution,[],[f625,f1245]) ).

fof(f3931,plain,
    ( ~ c1_1(a558)
    | c2_1(a558)
    | ~ spl0_38
    | spl0_99 ),
    inference(resolution,[],[f625,f910]) ).

fof(f3935,plain,
    ( ~ c1_1(a594)
    | c2_1(a594)
    | ~ spl0_38
    | spl0_148 ),
    inference(resolution,[],[f625,f1150]) ).

fof(f3944,plain,
    ( spl0_248
    | ~ spl0_146
    | ~ spl0_38
    | spl0_148 ),
    inference(avatar_split_clause,[],[f3935,f1148,f624,f1138,f1806]) ).

fof(f3981,plain,
    ( ~ c1_1(a571)
    | ~ c0_1(a571)
    | ~ spl0_5
    | ~ spl0_189 ),
    inference(resolution,[],[f496,f1354]) ).

fof(f4000,plain,
    ( ~ c0_1(a559)
    | ~ c1_1(a559)
    | ~ spl0_42
    | spl0_158 ),
    inference(resolution,[],[f643,f1200]) ).

fof(f4006,plain,
    ( ~ c0_1(a572)
    | ~ c1_1(a572)
    | ~ spl0_42
    | spl0_117 ),
    inference(resolution,[],[f643,f997]) ).

fof(f4021,plain,
    ( ~ spl0_116
    | ~ spl0_191
    | ~ spl0_42
    | spl0_117 ),
    inference(avatar_split_clause,[],[f4006,f995,f642,f1362,f990]) ).

fof(f4027,plain,
    ( ~ spl0_268
    | ~ spl0_231
    | ~ spl0_42
    | spl0_158 ),
    inference(avatar_split_clause,[],[f4000,f1198,f642,f1561,f1912]) ).

fof(f4065,plain,
    ( ~ spl0_103
    | spl0_104
    | ~ spl0_30
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2839,f1322,f592,f933,f928]) ).

fof(f4169,plain,
    ( c0_1(a558)
    | ~ c2_1(a558)
    | ~ spl0_30
    | ~ spl0_181 ),
    inference(resolution,[],[f593,f1314]) ).

fof(f4176,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(resolution,[],[f677,f593]) ).

fof(f4180,plain,
    ( ~ c2_1(a562)
    | c0_1(a562)
    | ~ spl0_49
    | spl0_162 ),
    inference(resolution,[],[f677,f1220]) ).

fof(f4186,plain,
    ( ~ c2_1(a594)
    | c0_1(a594)
    | ~ spl0_49
    | spl0_147 ),
    inference(resolution,[],[f677,f1145]) ).

fof(f4187,plain,
    ( ~ c2_1(a575)
    | c0_1(a575)
    | ~ spl0_49
    | spl0_121 ),
    inference(resolution,[],[f677,f1017]) ).

fof(f4189,plain,
    ( ~ c2_1(a543)
    | c0_1(a543)
    | ~ spl0_49
    | spl0_83 ),
    inference(resolution,[],[f677,f830]) ).

fof(f4191,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f4176]) ).

fof(f4194,plain,
    ( spl0_122
    | ~ spl0_123
    | ~ spl0_49
    | spl0_121 ),
    inference(avatar_split_clause,[],[f4187,f1015,f676,f1025,f1020]) ).

fof(f4195,plain,
    ( spl0_148
    | ~ spl0_248
    | ~ spl0_49
    | spl0_147 ),
    inference(avatar_split_clause,[],[f4186,f1143,f676,f1806,f1148]) ).

fof(f4254,plain,
    ( ~ c2_1(a573)
    | ~ c1_1(a573)
    | ~ spl0_51
    | spl0_119 ),
    inference(resolution,[],[f685,f1007]) ).

fof(f4256,plain,
    ( ~ c2_1(a554)
    | ~ c1_1(a554)
    | ~ spl0_51
    | spl0_98 ),
    inference(resolution,[],[f685,f905]) ).

fof(f4279,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(resolution,[],[f688,f572]) ).

fof(f4289,plain,
    ( c0_1(a551)
    | c1_1(a551)
    | ~ spl0_52
    | ~ spl0_223 ),
    inference(resolution,[],[f688,f1523]) ).

fof(f4293,plain,
    ( c0_1(a589)
    | c1_1(a589)
    | ~ spl0_52
    | ~ spl0_199 ),
    inference(resolution,[],[f688,f1404]) ).

fof(f4302,plain,
    ( c0_1(a570)
    | c1_1(a570)
    | ~ spl0_52
    | ~ spl0_188 ),
    inference(resolution,[],[f688,f1349]) ).

fof(f4311,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f4279]) ).

fof(f4340,plain,
    ( c1_1(a545)
    | ~ spl0_25
    | ~ spl0_52
    | spl0_86 ),
    inference(resolution,[],[f4311,f845]) ).

fof(f4356,plain,
    ( spl0_176
    | ~ spl0_25
    | ~ spl0_52
    | spl0_86 ),
    inference(avatar_split_clause,[],[f4340,f843,f687,f571,f1287]) ).

fof(f4384,plain,
    ( ~ spl0_93
    | ~ spl0_94
    | ~ spl0_8
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1723,f888,f505,f883,f878]) ).

fof(f4386,plain,
    ( spl0_51
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f2753,f592,f505,f684]) ).

fof(f4388,plain,
    ( ~ spl0_244
    | ~ spl0_85
    | ~ spl0_8
    | spl0_83 ),
    inference(avatar_split_clause,[],[f3621,f828,f505,f838,f1728]) ).

fof(f4421,plain,
    ( spl0_84
    | ~ spl0_244
    | ~ spl0_49
    | spl0_83 ),
    inference(avatar_split_clause,[],[f4189,f828,f676,f1728,f833]) ).

fof(f4428,plain,
    ( ~ spl0_118
    | ~ spl0_120
    | ~ spl0_51
    | spl0_119 ),
    inference(avatar_split_clause,[],[f4254,f1005,f684,f1010,f1000]) ).

fof(f4430,plain,
    ( ~ spl0_96
    | ~ spl0_97
    | ~ spl0_51
    | spl0_98 ),
    inference(avatar_split_clause,[],[f4256,f903,f684,f898,f893]) ).

fof(f4441,plain,
    ( spl0_196
    | spl0_260
    | ~ spl0_4
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f3131,f1392,f491,f1868,f1387]) ).

fof(f4459,plain,
    ( ~ spl0_197
    | spl0_196
    | ~ spl0_22
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2184,f1085,f558,f1387,f1392]) ).

fof(f4469,plain,
    ( spl0_187
    | spl0_112
    | ~ spl0_52
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f4302,f1347,f687,f972,f1342]) ).

fof(f4473,plain,
    ( spl0_260
    | spl0_196
    | ~ spl0_21
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1964,f1085,f555,f1387,f1868]) ).

fof(f4475,plain,
    ( ~ spl0_248
    | ~ spl0_146
    | ~ spl0_8
    | spl0_147 ),
    inference(avatar_split_clause,[],[f3639,f1143,f505,f1138,f1806]) ).

fof(f4486,plain,
    ( spl0_196
    | ~ spl0_260
    | ~ spl0_1
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f2922,f1392,f481,f1868,f1387]) ).

fof(f4592,plain,
    ( ~ c1_1(a537)
    | ~ c0_1(a537)
    | ~ spl0_5
    | ~ spl0_206 ),
    inference(resolution,[],[f496,f1439]) ).

fof(f4602,plain,
    ( ~ c1_1(a550)
    | ~ c0_1(a550)
    | ~ spl0_5
    | ~ spl0_179 ),
    inference(resolution,[],[f496,f1304]) ).

fof(f4616,plain,
    ( ~ c1_1(a596)
    | ~ c2_1(a596)
    | ~ spl0_8
    | spl0_150 ),
    inference(resolution,[],[f506,f1160]) ).

fof(f4639,plain,
    ( ~ c1_1(a551)
    | c2_1(a551)
    | ~ spl0_9
    | ~ spl0_223 ),
    inference(resolution,[],[f509,f1523]) ).

fof(f4642,plain,
    ( ~ c1_1(a537)
    | c2_1(a537)
    | ~ spl0_9
    | ~ spl0_206 ),
    inference(resolution,[],[f509,f1439]) ).

fof(f4686,plain,
    ( ~ c1_1(a551)
    | c0_1(a551)
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(resolution,[],[f516,f1523]) ).

fof(f4690,plain,
    ( ~ c1_1(a589)
    | c0_1(a589)
    | ~ spl0_11
    | ~ spl0_199 ),
    inference(resolution,[],[f516,f1404]) ).

fof(f4693,plain,
    ( ~ c1_1(a578)
    | c0_1(a578)
    | ~ spl0_11
    | ~ spl0_194 ),
    inference(resolution,[],[f516,f1379]) ).

fof(f4713,plain,
    ( spl0_129
    | ~ spl0_128
    | ~ spl0_11
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f4693,f1377,f515,f1050,f1055]) ).

fof(f4716,plain,
    ( spl0_139
    | ~ spl0_262
    | ~ spl0_11
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f4690,f1402,f515,f1878,f1104]) ).

fof(f4777,plain,
    ( ~ spl0_224
    | ~ spl0_155
    | ~ spl0_7
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2403,f1531,f501,f1183,f1526]) ).

fof(f4778,plain,
    ( ~ spl0_207
    | ~ spl0_264
    | ~ spl0_7
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f3757,f1437,f501,f1890,f1442]) ).

fof(f4784,plain,
    ( spl0_51
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1746,f515,f505,f684]) ).

fof(f4786,plain,
    ( spl0_243
    | ~ spl0_4
    | ~ spl0_16
    | spl0_242 ),
    inference(avatar_split_clause,[],[f3710,f1616,f534,f491,f1621]) ).

fof(f4821,plain,
    ( ~ spl0_251
    | spl0_99
    | ~ spl0_30
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f4169,f1312,f592,f908,f1822]) ).

fof(f4828,plain,
    ( ~ c1_1(a558)
    | c0_1(a558)
    | ~ spl0_11
    | ~ spl0_181 ),
    inference(resolution,[],[f1314,f516]) ).

fof(f4830,plain,
    ( spl0_99
    | ~ spl0_100
    | ~ spl0_11
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f4828,f1312,f515,f913,f908]) ).

fof(f4843,plain,
    ( c2_1(a547)
    | c1_1(a547)
    | ~ spl0_4
    | ~ spl0_216 ),
    inference(resolution,[],[f492,f1488]) ).

fof(f4844,plain,
    ( c2_1(a536)
    | c1_1(a536)
    | ~ spl0_4
    | ~ spl0_203 ),
    inference(resolution,[],[f492,f1424]) ).

fof(f4896,plain,
    ( ~ c2_1(a577)
    | ~ spl0_30
    | ~ spl0_49
    | spl0_126 ),
    inference(resolution,[],[f4191,f1042]) ).

fof(f4905,plain,
    ( ~ c2_1(a545)
    | ~ spl0_30
    | ~ spl0_49
    | spl0_86 ),
    inference(resolution,[],[f4191,f845]) ).

fof(f4914,plain,
    ( ~ spl0_87
    | ~ spl0_30
    | ~ spl0_49
    | spl0_86 ),
    inference(avatar_split_clause,[],[f4905,f843,f676,f592,f848]) ).

fof(f4916,plain,
    ( ~ spl0_258
    | ~ spl0_30
    | ~ spl0_49
    | spl0_126 ),
    inference(avatar_split_clause,[],[f4896,f1040,f676,f592,f1858]) ).

fof(f4948,plain,
    ( ~ spl0_149
    | ~ spl0_263
    | ~ spl0_8
    | spl0_150 ),
    inference(avatar_split_clause,[],[f4616,f1158,f505,f1884,f1153]) ).

fof(f4952,plain,
    ( spl0_222
    | ~ spl0_265
    | ~ spl0_9
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f4639,f1521,f508,f1897,f1516]) ).

fof(f4962,plain,
    ( ~ spl0_272
    | ~ spl0_169
    | ~ spl0_36
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f3341,f1611,f616,f1253,f1934]) ).

fof(f4969,plain,
    ( ~ spl0_116
    | ~ spl0_256
    | ~ spl0_36
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f3653,f1362,f616,f1848,f990]) ).

fof(f4972,plain,
    ( spl0_154
    | ~ spl0_265
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f4686,f1521,f515,f1897,f1178]) ).

fof(f4975,plain,
    ( ~ spl0_131
    | spl0_195
    | ~ spl0_6
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2428,f1060,f498,f1382,f1065]) ).

fof(f5011,plain,
    ( spl0_256
    | ~ spl0_116
    | ~ spl0_28
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f3328,f1362,f583,f990,f1848]) ).

fof(f5017,plain,
    ( spl0_230
    | ~ spl0_268
    | ~ spl0_28
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f3483,f1561,f583,f1912,f1556]) ).

fof(f5026,plain,
    ( ~ spl0_207
    | spl0_264
    | ~ spl0_17
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f3288,f1437,f537,f1890,f1442]) ).

fof(f5027,plain,
    ( spl0_264
    | ~ spl0_151
    | ~ spl0_9
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f4642,f1437,f508,f1163,f1890]) ).

fof(f5031,plain,
    ( spl0_268
    | spl0_230
    | ~ spl0_4
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f3689,f1561,f491,f1556,f1912]) ).

fof(f5034,plain,
    ( spl0_205
    | spl0_204
    | ~ spl0_4
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f4844,f1422,f491,f1427,f1432]) ).

fof(f5063,plain,
    ( ~ c1_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_2
    | ~ spl0_240 ),
    inference(resolution,[],[f485,f1608]) ).

fof(f5070,plain,
    ( ~ c1_1(a537)
    | ~ c2_1(a537)
    | ~ spl0_2
    | ~ spl0_206 ),
    inference(resolution,[],[f485,f1439]) ).

fof(f5074,plain,
    ( ~ spl0_264
    | ~ spl0_151
    | ~ spl0_2
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f5070,f1437,f484,f1163,f1890]) ).

fof(f5077,plain,
    ( ~ spl0_169
    | ~ spl0_272
    | ~ spl0_2
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f5063,f1606,f484,f1934,f1253]) ).

fof(f5079,plain,
    ( ~ spl0_159
    | ~ spl0_269
    | ~ spl0_8
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1690,f1208,f505,f1917,f1203]) ).

fof(f5083,plain,
    ( ~ spl0_133
    | ~ spl0_132
    | ~ spl0_8
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1721,f1080,f505,f1070,f1075]) ).

fof(f5089,plain,
    ( spl0_237
    | ~ spl0_166
    | ~ spl0_38
    | spl0_167 ),
    inference(avatar_split_clause,[],[f3910,f1243,f624,f1238,f1591]) ).

fof(f5090,plain,
    ( spl0_251
    | ~ spl0_100
    | ~ spl0_38
    | spl0_99 ),
    inference(avatar_split_clause,[],[f3931,f908,f624,f913,f1822]) ).

fof(f5091,plain,
    ( spl0_265
    | spl0_154
    | ~ spl0_52
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f4289,f1521,f687,f1178,f1897]) ).

fof(f5093,plain,
    ( spl0_262
    | spl0_139
    | ~ spl0_52
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f4293,f1402,f687,f1104,f1878]) ).

fof(f5119,plain,
    ( ~ c1_1(a548)
    | ~ c2_1(a548)
    | ~ spl0_2
    | ~ spl0_178 ),
    inference(resolution,[],[f1299,f485]) ).

fof(f5123,plain,
    ( ~ c1_1(a558)
    | ~ c2_1(a558)
    | ~ spl0_2
    | ~ spl0_181 ),
    inference(resolution,[],[f1314,f485]) ).

fof(f5177,plain,
    ( ~ c2_1(a554)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(resolution,[],[f1725,f895]) ).

fof(f5181,plain,
    ( ~ spl0_97
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f5177,f893,f505,f484,f898]) ).

fof(f5187,plain,
    ( ~ spl0_224
    | ~ spl0_266
    | ~ spl0_5
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2333,f1531,f495,f1902,f1526]) ).

fof(f5199,plain,
    ( ~ spl0_190
    | ~ spl0_255
    | ~ spl0_5
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f3981,f1352,f495,f1843,f1357]) ).

fof(f5202,plain,
    ( ~ spl0_207
    | ~ spl0_151
    | ~ spl0_5
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f4592,f1437,f495,f1163,f1442]) ).

fof(f5204,plain,
    ( ~ spl0_180
    | ~ spl0_92
    | ~ spl0_5
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f4602,f1302,f495,f873,f1307]) ).

fof(f5210,plain,
    ( spl0_245
    | spl0_187
    | ~ spl0_14
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f3791,f1347,f526,f1342,f1740]) ).

fof(f5215,plain,
    ( spl0_198
    | spl0_138
    | ~ spl0_25
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2223,f1094,f571,f1099,f1397]) ).

fof(f5221,plain,
    ( spl0_233
    | spl0_161
    | ~ spl0_25
    | spl0_162 ),
    inference(avatar_split_clause,[],[f3645,f1218,f571,f1213,f1571]) ).

fof(f5224,plain,
    ( spl0_161
    | ~ spl0_270
    | ~ spl0_49
    | spl0_162 ),
    inference(avatar_split_clause,[],[f4180,f1218,f676,f1922,f1213]) ).

fof(f5232,plain,
    ( ~ spl0_91
    | ~ spl0_249
    | ~ spl0_2
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f5119,f1297,f484,f1812,f868]) ).

fof(f5233,plain,
    ( ~ spl0_251
    | ~ spl0_100
    | ~ spl0_2
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f5123,f1312,f484,f913,f1822]) ).

fof(f5236,plain,
    ( spl0_217
    | spl0_218
    | ~ spl0_4
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f4843,f1486,f491,f1496,f1491]) ).

fof(f5243,plain,
    ( spl0_222
    | ~ spl0_265
    | ~ spl0_38
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2985,f1178,f624,f1897,f1516]) ).

fof(f5335,plain,
    ( c2_1(a562)
    | c0_1(a562)
    | ~ spl0_12
    | spl0_162 ),
    inference(resolution,[],[f519,f1220]) ).

fof(f5355,plain,
    ( spl0_161
    | spl0_270
    | ~ spl0_12
    | spl0_162 ),
    inference(avatar_split_clause,[],[f5335,f1218,f518,f1922,f1213]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_10
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_9
    | spl0_14
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s9,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_12
    | spl0_14
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_23
    | spl0_28 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_14
    | spl0_25
    | spl0_29 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_23
    | spl0_30 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s20,plain,
    ( spl0_3
    | spl0_10
    | spl0_25
    | spl0_39 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_28
    | ~ spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_21
    | spl0_36
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_8
    | spl0_14
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_4
    | spl0_8
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_11
    | spl0_25
    | spl0_45 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s27,plain,
    ( spl0_3
    | spl0_5
    | spl0_8
    | spl0_46 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s28,plain,
    ( spl0_3
    | spl0_8
    | spl0_10
    | spl0_47 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s29,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_50
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s31,plain,
    ( spl0_3
    | spl0_22
    | spl0_49
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s33,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_19
    | spl0_30 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_22
    | spl0_59
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s36,plain,
    ( spl0_3
    | spl0_10
    | spl0_61
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s37,plain,
    ( spl0_3
    | spl0_52
    | ~ spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s38,plain,
    ( spl0_3
    | spl0_28
    | spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s40,plain,
    ( spl0_3
    | spl0_34
    | spl0_39
    | spl0_69 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s41,plain,
    ( spl0_3
    | spl0_36
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_30
    | spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s44,plain,
    ( spl0_3
    | spl0_51
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s45,plain,
    ( spl0_44
    | spl0_77 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s50,plain,
    ( spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s51,plain,
    ( spl0_82
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s52,plain,
    ( spl0_82
    | spl0_85 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s53,plain,
    ( ~ spl0_29
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s54,plain,
    ( ~ spl0_29
    | spl0_87 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s57,plain,
    ( ~ spl0_50
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s58,plain,
    ( ~ spl0_50
    | spl0_91 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s59,plain,
    ( ~ spl0_66
    | spl0_92 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s60,plain,
    ( spl0_37
    | spl0_93 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s61,plain,
    ( spl0_37
    | spl0_94 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s62,plain,
    ( spl0_37
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s63,plain,
    ( ~ spl0_64
    | spl0_96 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s64,plain,
    ( ~ spl0_64
    | spl0_97 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s65,plain,
    ( ~ spl0_64
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s66,plain,
    ( ~ spl0_15
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s67,plain,
    ( ~ spl0_15
    | spl0_100 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s68,plain,
    ( ~ spl0_74
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s69,plain,
    ( ~ spl0_74
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s70,plain,
    ( ~ spl0_47
    | spl0_103 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s71,plain,
    ( ~ spl0_47
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s78,plain,
    ( spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s79,plain,
    ( ~ spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s80,plain,
    ( spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s81,plain,
    ( spl0_115
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s82,plain,
    ( spl0_71
    | spl0_118 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s83,plain,
    ( spl0_71
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s84,plain,
    ( spl0_71
    | spl0_120 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s85,plain,
    ( spl0_62
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s86,plain,
    ( spl0_62
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s87,plain,
    ( spl0_62
    | spl0_123 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s88,plain,
    ( ~ spl0_61
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s89,plain,
    ( ~ spl0_61
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s90,plain,
    ( spl0_60
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s91,plain,
    ( spl0_60
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s92,plain,
    ( ~ spl0_59
    | spl0_128 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s93,plain,
    ( ~ spl0_59
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s94,plain,
    ( ~ spl0_69
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s95,plain,
    ( ~ spl0_69
    | spl0_131 ),
    inference(sat_conversion,[],[f1068]) ).

cnf(s96,plain,
    ( ~ spl0_13
    | spl0_132 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s97,plain,
    ( ~ spl0_13
    | spl0_133 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s98,plain,
    ( ~ spl0_13
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s99,plain,
    ( ~ spl0_45
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s100,plain,
    ( ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s101,plain,
    ( ~ spl0_136
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s102,plain,
    ( spl0_76
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1107]) ).

cnf(s108,plain,
    ( ~ spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s109,plain,
    ( ~ spl0_145
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s110,plain,
    ( ~ spl0_145
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s111,plain,
    ( spl0_20
    | spl0_149 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s112,plain,
    ( spl0_20
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s113,plain,
    ( spl0_24
    | spl0_151 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s114,plain,
    ( spl0_41
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s115,plain,
    ( spl0_41
    | spl0_153 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s116,plain,
    ( ~ spl0_65
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s117,plain,
    ( spl0_63
    | spl0_155 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s120,plain,
    ( spl0_75
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s121,plain,
    ( spl0_48
    | spl0_159 ),
    inference(sat_conversion,[],[f1206]) ).

cnf(s122,plain,
    ( spl0_48
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s123,plain,
    ( spl0_23
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s124,plain,
    ( spl0_23
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s128,plain,
    ( spl0_33
    | spl0_166 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s129,plain,
    ( spl0_33
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s131,plain,
    ( ~ spl0_46
    | spl0_169 ),
    inference(sat_conversion,[],[f1256]) ).

cnf(s132,plain,
    ( spl0_170
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1265]) ).

cnf(s133,plain,
    ( spl0_44
    | spl0_172 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s134,plain,
    ( spl0_44
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1275]) ).

cnf(s137,plain,
    ( ~ spl0_29
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1290]) ).

cnf(s139,plain,
    ( ~ spl0_50
    | spl0_178 ),
    inference(sat_conversion,[],[f1300]) ).

cnf(s140,plain,
    ( ~ spl0_66
    | spl0_179 ),
    inference(sat_conversion,[],[f1305]) ).

cnf(s141,plain,
    ( ~ spl0_66
    | spl0_180 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s142,plain,
    ( ~ spl0_15
    | spl0_181 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s143,plain,
    ( ~ spl0_74
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f1320]) ).

cnf(s144,plain,
    ( ~ spl0_47
    | spl0_183 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s148,plain,
    ( spl0_111
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s149,plain,
    ( spl0_111
    | spl0_188 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s150,plain,
    ( ~ spl0_113
    | spl0_189 ),
    inference(sat_conversion,[],[f1355]) ).

cnf(s151,plain,
    ( ~ spl0_113
    | spl0_190 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s152,plain,
    ( spl0_115
    | spl0_191 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s153,plain,
    ( ~ spl0_61
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s154,plain,
    ( spl0_60
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f1375]) ).

cnf(s155,plain,
    ( ~ spl0_59
    | spl0_194 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s156,plain,
    ( ~ spl0_69
    | ~ spl0_195 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s157,plain,
    ( ~ spl0_45
    | ~ spl0_196 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s158,plain,
    ( ~ spl0_45
    | spl0_197 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s159,plain,
    ( ~ spl0_136
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f1400]) ).

cnf(s160,plain,
    ( spl0_76
    | spl0_199 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s161,plain,
    ( spl0_76
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s163,plain,
    ( spl0_20
    | spl0_202 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s164,plain,
    ( spl0_53
    | spl0_203 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s165,plain,
    ( spl0_53
    | ~ spl0_204 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s166,plain,
    ( spl0_53
    | ~ spl0_205 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s167,plain,
    ( spl0_24
    | spl0_206 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s168,plain,
    ( spl0_24
    | spl0_207 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s169,plain,
    ( spl0_43
    | spl0_208 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s170,plain,
    ( spl0_43
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s171,plain,
    ( spl0_43
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f1460]) ).

cnf(s172,plain,
    ( ~ spl0_211
    | spl0_212 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s173,plain,
    ( spl0_212
    | ~ spl0_213 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s174,plain,
    ( spl0_212
    | spl0_214 ),
    inference(sat_conversion,[],[f1479]) ).

cnf(s175,plain,
    ( spl0_41
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s176,plain,
    ( spl0_19
    | spl0_216 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s177,plain,
    ( spl0_19
    | ~ spl0_217 ),
    inference(sat_conversion,[],[f1494]) ).

cnf(s178,plain,
    ( spl0_19
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s179,plain,
    ( ~ spl0_39
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f1504]) ).

cnf(s180,plain,
    ( ~ spl0_39
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f1509]) ).

cnf(s181,plain,
    ( ~ spl0_39
    | spl0_221 ),
    inference(sat_conversion,[],[f1514]) ).

cnf(s182,plain,
    ( ~ spl0_65
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s183,plain,
    ( ~ spl0_65
    | spl0_223 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s184,plain,
    ( spl0_63
    | spl0_224 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s185,plain,
    ( spl0_63
    | spl0_225 ),
    inference(sat_conversion,[],[f1534]) ).

cnf(s190,plain,
    ( spl0_75
    | ~ spl0_230 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s191,plain,
    ( spl0_75
    | spl0_231 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s192,plain,
    ( spl0_48
    | spl0_232 ),
    inference(sat_conversion,[],[f1569]) ).

cnf(s193,plain,
    ( spl0_23
    | ~ spl0_233 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s197,plain,
    ( spl0_33
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f1594]) ).

cnf(s198,plain,
    ( spl0_70
    | ~ spl0_238 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s199,plain,
    ( spl0_70
    | spl0_239 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s200,plain,
    ( ~ spl0_46
    | spl0_240 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s201,plain,
    ( ~ spl0_46
    | spl0_241 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s202,plain,
    ( spl0_170
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s203,plain,
    ( spl0_170
    | ~ spl0_243 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s204,plain,
    ( spl0_65
    | spl0_145
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s205,plain,
    ( spl0_29
    | spl0_50
    | spl0_136 ),
    inference(sat_conversion,[],[f1626]) ).

cnf(s206,plain,
    ( ~ spl0_111
    | spl0_113
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s207,plain,
    ( ~ spl0_24
    | ~ spl0_82
    | ~ spl0_212 ),
    inference(sat_conversion,[],[f1628]) ).

cnf(s239,plain,
    ( ~ spl0_3
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s248,plain,
    ( ~ spl0_3
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s260,plain,
    ( ~ spl0_3
    | spl0_170 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s262,plain,
    ( ~ spl0_10
    | spl0_187
    | ~ spl0_188
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s292,plain,
    ( ~ spl0_16
    | spl0_154
    | spl0_222
    | spl0_265 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s352,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s358,plain,
    ( ~ spl0_1
    | ~ spl0_149
    | ~ spl0_202
    | spl0_263 ),
    inference(sat_conversion,[],[f2145]) ).

cnf(s359,plain,
    ( spl0_4
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s368,plain,
    ( ~ spl0_25
    | spl0_101
    | spl0_102
    | spl0_182 ),
    inference(sat_conversion,[],[f2250]) ).

cnf(s374,plain,
    ( ~ spl0_25
    | spl0_124
    | spl0_125
    | spl0_192 ),
    inference(sat_conversion,[],[f2256]) ).

cnf(s383,plain,
    ( ~ spl0_25
    | spl0_152
    | spl0_215
    | spl0_280 ),
    inference(sat_conversion,[],[f2265]) ).

cnf(s397,plain,
    ( ~ spl0_22
    | spl0_160
    | ~ spl0_232
    | spl0_269 ),
    inference(sat_conversion,[],[f2279]) ).

cnf(s416,plain,
    ( ~ spl0_12
    | spl0_83
    | spl0_84
    | spl0_244 ),
    inference(sat_conversion,[],[f2361]) ).

cnf(s433,plain,
    ( ~ spl0_10
    | ~ spl0_114
    | ~ spl0_189
    | spl0_255 ),
    inference(sat_conversion,[],[f2378]) ).

cnf(s483,plain,
    ( ~ spl0_8
    | spl0_121
    | ~ spl0_123
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f2486]) ).

cnf(s504,plain,
    ( ~ spl0_14
    | ~ spl0_199
    | spl0_200
    | spl0_262 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s506,plain,
    ( ~ spl0_14
    | ~ spl0_208
    | spl0_209
    | spl0_210 ),
    inference(sat_conversion,[],[f2609]) ).

cnf(s515,plain,
    ( ~ spl0_14
    | spl0_16
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2618]) ).

cnf(s550,plain,
    ( ~ spl0_22
    | spl0_158
    | ~ spl0_231
    | spl0_268 ),
    inference(sat_conversion,[],[f2766]) ).

cnf(s552,plain,
    ( ~ spl0_6
    | spl0_158
    | spl0_230
    | ~ spl0_268 ),
    inference(sat_conversion,[],[f2774]) ).

cnf(s610,plain,
    ( ~ spl0_38
    | spl0_84
    | ~ spl0_85
    | spl0_244 ),
    inference(sat_conversion,[],[f3003]) ).

cnf(s625,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_36 ),
    inference(sat_conversion,[],[f3018]) ).

cnf(s653,plain,
    ( ~ spl0_1
    | ~ spl0_153
    | spl0_215
    | ~ spl0_280 ),
    inference(sat_conversion,[],[f3045]) ).

cnf(s661,plain,
    ( ~ spl0_30
    | spl0_112
    | ~ spl0_188
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f3053]) ).

cnf(s665,plain,
    ( ~ spl0_30
    | spl0_90
    | ~ spl0_91
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s708,plain,
    ( ~ spl0_10
    | ~ spl0_169
    | ~ spl0_240
    | spl0_272 ),
    inference(sat_conversion,[],[f3160]) ).

cnf(s712,plain,
    ( ~ spl0_10
    | ~ spl0_155
    | ~ spl0_225
    | spl0_266 ),
    inference(sat_conversion,[],[f3164]) ).

cnf(s736,plain,
    ( ~ spl0_28
    | ~ spl0_38
    | ~ spl0_151
    | spl0_264 ),
    inference(sat_conversion,[],[f3233]) ).

cnf(s747,plain,
    ( ~ spl0_7
    | ~ spl0_169
    | ~ spl0_240
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f3244]) ).

cnf(s756,plain,
    ( ~ spl0_4
    | spl0_238
    | ~ spl0_239
    | spl0_271 ),
    inference(sat_conversion,[],[f3253]) ).

cnf(s764,plain,
    ( ~ spl0_1
    | spl0_238
    | ~ spl0_239
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f3261]) ).

cnf(s814,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f3400]) ).

cnf(s830,plain,
    ( ~ spl0_25
    | spl0_121
    | spl0_122
    | spl0_246 ),
    inference(sat_conversion,[],[f3415]) ).

cnf(s865,plain,
    ( ~ spl0_14
    | spl0_222
    | ~ spl0_223
    | spl0_265 ),
    inference(sat_conversion,[],[f3526]) ).

cnf(s866,plain,
    ( ~ spl0_14
    | spl0_219
    | spl0_220
    | ~ spl0_221 ),
    inference(sat_conversion,[],[f3527]) ).

cnf(s880,plain,
    ( ~ spl0_16
    | spl0_171
    | spl0_242
    | spl0_243 ),
    inference(sat_conversion,[],[f3541]) ).

cnf(s907,plain,
    ( ~ spl0_10
    | ~ spl0_91
    | ~ spl0_178
    | spl0_249 ),
    inference(sat_conversion,[],[f3568]) ).

cnf(s918,plain,
    ( spl0_4
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f3579]) ).

cnf(s925,plain,
    ( ~ spl0_21
    | spl0_127
    | spl0_193
    | spl0_258 ),
    inference(sat_conversion,[],[f3586]) ).

cnf(s931,plain,
    ( ~ spl0_21
    | spl0_158
    | spl0_230
    | spl0_268 ),
    inference(sat_conversion,[],[f3592]) ).

cnf(s956,plain,
    ( ~ spl0_4
    | spl0_211
    | spl0_213
    | ~ spl0_214 ),
    inference(sat_conversion,[],[f3616]) ).

cnf(s959,plain,
    ( ~ spl0_36
    | ~ spl0_151
    | ~ spl0_207
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f3619]) ).

cnf(s962,plain,
    ( ~ spl0_1
    | ~ spl0_77
    | ~ spl0_172
    | spl0_173 ),
    inference(sat_conversion,[],[f3683]) ).

cnf(s970,plain,
    ( ~ spl0_38
    | ~ spl0_146
    | spl0_148
    | spl0_248 ),
    inference(sat_conversion,[],[f3944]) ).

cnf(s984,plain,
    ( ~ spl0_42
    | ~ spl0_116
    | spl0_117
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f4021]) ).

cnf(s990,plain,
    ( ~ spl0_42
    | spl0_158
    | ~ spl0_231
    | ~ spl0_268 ),
    inference(sat_conversion,[],[f4027]) ).

cnf(s1028,plain,
    ( ~ spl0_30
    | ~ spl0_103
    | spl0_104
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f4065]) ).

cnf(s1033,plain,
    ( ~ spl0_49
    | spl0_121
    | spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f4194]) ).

cnf(s1034,plain,
    ( ~ spl0_49
    | spl0_147
    | spl0_148
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f4195]) ).

cnf(s1060,plain,
    ( ~ spl0_25
    | ~ spl0_52
    | spl0_86
    | spl0_176 ),
    inference(sat_conversion,[],[f4356]) ).

cnf(s1091,plain,
    ( ~ spl0_8
    | ~ spl0_93
    | ~ spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f4384]) ).

cnf(s1093,plain,
    ( ~ spl0_8
    | ~ spl0_30
    | spl0_51 ),
    inference(sat_conversion,[],[f4386]) ).

cnf(s1096,plain,
    ( ~ spl0_8
    | spl0_83
    | ~ spl0_85
    | ~ spl0_244 ),
    inference(sat_conversion,[],[f4388]) ).

cnf(s1129,plain,
    ( ~ spl0_49
    | spl0_83
    | spl0_84
    | ~ spl0_244 ),
    inference(sat_conversion,[],[f4421]) ).

cnf(s1136,plain,
    ( ~ spl0_51
    | ~ spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f4428]) ).

cnf(s1138,plain,
    ( ~ spl0_51
    | ~ spl0_96
    | ~ spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f4430]) ).

cnf(s1149,plain,
    ( ~ spl0_4
    | spl0_196
    | ~ spl0_197
    | spl0_260 ),
    inference(sat_conversion,[],[f4441]) ).

cnf(s1167,plain,
    ( ~ spl0_22
    | spl0_135
    | spl0_196
    | ~ spl0_197 ),
    inference(sat_conversion,[],[f4459]) ).

cnf(s1177,plain,
    ( ~ spl0_52
    | spl0_112
    | spl0_187
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f4469]) ).

cnf(s1181,plain,
    ( ~ spl0_21
    | spl0_135
    | spl0_196
    | spl0_260 ),
    inference(sat_conversion,[],[f4473]) ).

cnf(s1183,plain,
    ( ~ spl0_8
    | ~ spl0_146
    | spl0_147
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f4475]) ).

cnf(s1194,plain,
    ( ~ spl0_1
    | spl0_196
    | ~ spl0_197
    | ~ spl0_260 ),
    inference(sat_conversion,[],[f4486]) ).

cnf(s1248,plain,
    ( ~ spl0_11
    | ~ spl0_128
    | spl0_129
    | ~ spl0_194 ),
    inference(sat_conversion,[],[f4713]) ).

cnf(s1251,plain,
    ( ~ spl0_11
    | spl0_139
    | ~ spl0_199
    | ~ spl0_262 ),
    inference(sat_conversion,[],[f4716]) ).

cnf(s1312,plain,
    ( ~ spl0_7
    | ~ spl0_155
    | ~ spl0_224
    | ~ spl0_225 ),
    inference(sat_conversion,[],[f4777]) ).

cnf(s1313,plain,
    ( ~ spl0_7
    | ~ spl0_206
    | ~ spl0_207
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f4778]) ).

cnf(s1319,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | spl0_51 ),
    inference(sat_conversion,[],[f4784]) ).

cnf(s1323,plain,
    ( ~ spl0_4
    | ~ spl0_16
    | spl0_242
    | spl0_243 ),
    inference(sat_conversion,[],[f4786]) ).

cnf(s1360,plain,
    ( ~ spl0_30
    | spl0_99
    | ~ spl0_181
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f4821]) ).

cnf(s1367,plain,
    ( ~ spl0_11
    | spl0_99
    | ~ spl0_100
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f4830]) ).

cnf(s1373,plain,
    ( ~ spl0_30
    | ~ spl0_49
    | spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f4914]) ).

cnf(s1375,plain,
    ( ~ spl0_30
    | ~ spl0_49
    | spl0_126
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f4916]) ).

cnf(s1413,plain,
    ( ~ spl0_8
    | ~ spl0_149
    | spl0_150
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f4948]) ).

cnf(s1417,plain,
    ( ~ spl0_9
    | spl0_222
    | ~ spl0_223
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f4952]) ).

cnf(s1427,plain,
    ( ~ spl0_36
    | ~ spl0_169
    | ~ spl0_241
    | ~ spl0_272 ),
    inference(sat_conversion,[],[f4962]) ).

cnf(s1434,plain,
    ( ~ spl0_36
    | ~ spl0_116
    | ~ spl0_191
    | ~ spl0_256 ),
    inference(sat_conversion,[],[f4969]) ).

cnf(s1437,plain,
    ( ~ spl0_11
    | spl0_154
    | ~ spl0_223
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f4972]) ).

cnf(s1440,plain,
    ( ~ spl0_6
    | spl0_130
    | ~ spl0_131
    | spl0_195 ),
    inference(sat_conversion,[],[f4975]) ).

cnf(s1476,plain,
    ( ~ spl0_28
    | ~ spl0_116
    | ~ spl0_191
    | spl0_256 ),
    inference(sat_conversion,[],[f5011]) ).

cnf(s1482,plain,
    ( ~ spl0_28
    | spl0_230
    | ~ spl0_231
    | ~ spl0_268 ),
    inference(sat_conversion,[],[f5017]) ).

cnf(s1491,plain,
    ( ~ spl0_17
    | ~ spl0_206
    | ~ spl0_207
    | spl0_264 ),
    inference(sat_conversion,[],[f5026]) ).

cnf(s1492,plain,
    ( ~ spl0_9
    | ~ spl0_151
    | ~ spl0_206
    | spl0_264 ),
    inference(sat_conversion,[],[f5027]) ).

cnf(s1496,plain,
    ( ~ spl0_4
    | spl0_230
    | ~ spl0_231
    | spl0_268 ),
    inference(sat_conversion,[],[f5031]) ).

cnf(s1499,plain,
    ( ~ spl0_4
    | ~ spl0_203
    | spl0_204
    | spl0_205 ),
    inference(sat_conversion,[],[f5034]) ).

cnf(s1509,plain,
    ( ~ spl0_2
    | ~ spl0_151
    | ~ spl0_206
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f5074]) ).

cnf(s1512,plain,
    ( ~ spl0_2
    | ~ spl0_169
    | ~ spl0_240
    | ~ spl0_272 ),
    inference(sat_conversion,[],[f5077]) ).

cnf(s1514,plain,
    ( ~ spl0_8
    | ~ spl0_159
    | spl0_160
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f5079]) ).

cnf(s1518,plain,
    ( ~ spl0_8
    | ~ spl0_132
    | ~ spl0_133
    | spl0_134 ),
    inference(sat_conversion,[],[f5083]) ).

cnf(s1530,plain,
    ( ~ spl0_38
    | ~ spl0_166
    | spl0_167
    | spl0_237 ),
    inference(sat_conversion,[],[f5089]) ).

cnf(s1531,plain,
    ( ~ spl0_38
    | spl0_99
    | ~ spl0_100
    | spl0_251 ),
    inference(sat_conversion,[],[f5090]) ).

cnf(s1532,plain,
    ( ~ spl0_52
    | spl0_154
    | ~ spl0_223
    | spl0_265 ),
    inference(sat_conversion,[],[f5091]) ).

cnf(s1534,plain,
    ( ~ spl0_52
    | spl0_139
    | ~ spl0_199
    | spl0_262 ),
    inference(sat_conversion,[],[f5093]) ).

cnf(s1547,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f5181]) ).

cnf(s1553,plain,
    ( ~ spl0_5
    | ~ spl0_224
    | ~ spl0_225
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f5187]) ).

cnf(s1565,plain,
    ( ~ spl0_5
    | ~ spl0_189
    | ~ spl0_190
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f5199]) ).

cnf(s1568,plain,
    ( ~ spl0_5
    | ~ spl0_151
    | ~ spl0_206
    | ~ spl0_207 ),
    inference(sat_conversion,[],[f5202]) ).

cnf(s1570,plain,
    ( ~ spl0_5
    | ~ spl0_92
    | ~ spl0_179
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f5204]) ).

cnf(s1577,plain,
    ( ~ spl0_14
    | spl0_187
    | ~ spl0_188
    | spl0_245 ),
    inference(sat_conversion,[],[f5210]) ).

cnf(s1583,plain,
    ( ~ spl0_25
    | spl0_137
    | spl0_138
    | spl0_198 ),
    inference(sat_conversion,[],[f5215]) ).

cnf(s1589,plain,
    ( ~ spl0_25
    | spl0_161
    | spl0_162
    | spl0_233 ),
    inference(sat_conversion,[],[f5221]) ).

cnf(s1592,plain,
    ( ~ spl0_49
    | spl0_161
    | spl0_162
    | ~ spl0_270 ),
    inference(sat_conversion,[],[f5224]) ).

cnf(s1600,plain,
    ( ~ spl0_2
    | ~ spl0_91
    | ~ spl0_178
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f5232]) ).

cnf(s1601,plain,
    ( ~ spl0_2
    | ~ spl0_100
    | ~ spl0_181
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f5233]) ).

cnf(s1604,plain,
    ( ~ spl0_4
    | ~ spl0_216
    | spl0_217
    | spl0_218 ),
    inference(sat_conversion,[],[f5236]) ).

cnf(s1613,plain,
    ( ~ spl0_38
    | spl0_154
    | spl0_222
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f5243]) ).

cnf(s1622,plain,
    ( ~ spl0_12
    | spl0_161
    | spl0_162
    | spl0_270 ),
    inference(sat_conversion,[],[f5355]) ).

cnf(s1623,plain,
    ( ~ spl0_46
    | ~ spl0_7 ),
    inference(rat,[],[s747,s131,s200,s201]) ).

cnf(s1624,plain,
    ( spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s1604,s176,s177,s178]) ).

cnf(s1625,plain,
    ( ~ spl0_13
    | ~ spl0_8 ),
    inference(rat,[],[s1518,s96,s97,s98]) ).

cnf(s1629,plain,
    ( spl0_37
    | ~ spl0_8 ),
    inference(rat,[],[s1091,s60,s61,s62]) ).

cnf(s1631,plain,
    ( spl0_53
    | ~ spl0_4 ),
    inference(rat,[],[s1499,s164,s165,s166]) ).

cnf(s1632,plain,
    ( spl0_49
    | ~ spl0_8
    | ~ spl0_53
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s1514,s397,s121,s122,s192,s31,s29]) ).

cnf(s1633,plain,
    ( spl0_10
    | spl0_30
    | spl0_13
    | spl0_3 ),
    inference(rat,[],[s866,s179,s180,s181,s20,s1589,s123,s124,s193,s5,s15]) ).

cnf(s1634,plain,
    ( spl0_162
    | spl0_161
    | ~ spl0_12
    | ~ spl0_49 ),
    inference(rat,[],[s1622,s1592]) ).

cnf(s1637,plain,
    ( spl0_62
    | ~ spl0_49 ),
    inference(rat,[],[s1033,s85,s86,s87]) ).

cnf(s1639,plain,
    ( spl0_63
    | ~ spl0_7 ),
    inference(rat,[],[s1312,s117,s184,s185]) ).

cnf(s1640,plain,
    ( spl0_82
    | ~ spl0_49
    | ~ spl0_38 ),
    inference(rat,[],[s1129,s610,s50,s51,s52]) ).

cnf(s1641,plain,
    ( spl0_84
    | spl0_83
    | ~ spl0_12
    | ~ spl0_49 ),
    inference(rat,[],[s1129,s416]) ).

cnf(s1643,plain,
    ( spl0_111
    | ~ spl0_14
    | ~ spl0_10 ),
    inference(rat,[],[s262,s1577,s148,s149]) ).

cnf(s1645,plain,
    ( spl0_170
    | ~ spl0_16
    | ~ spl0_4 ),
    inference(rat,[],[s1323,s202,s203]) ).

cnf(s1649,plain,
    ( ~ spl0_65
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(rat,[],[s292,s1613,s116,s182]) ).

cnf(s1650,plain,
    ( ~ spl0_145
    | ~ spl0_49
    | ~ spl0_38 ),
    inference(rat,[],[s970,s1034,s108,s109,s110]) ).

cnf(s1651,plain,
    ( ~ spl0_16
    | spl0_145
    | ~ spl0_38
    | ~ spl0_4 ),
    inference(rat,[],[s204,s1649,s1645]) ).

cnf(s1657,plain,
    ( spl0_24
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(rat,[],[s1492,s1313,s113,s167,s168]) ).

cnf(s1658,plain,
    ( spl0_212
    | ~ spl0_4 ),
    inference(rat,[],[s956,s172,s173,s174]) ).

cnf(s1659,plain,
    ( spl0_33
    | ~ spl0_38 ),
    inference(rat,[],[s1530,s128,s129,s197]) ).

cnf(s1660,plain,
    ( spl0_10
    | spl0_16
    | spl0_13
    | spl0_3 ),
    inference(rat,[],[s866,s179,s180,s181,s20,s515,s5]) ).

cnf(s1661,plain,
    ( ~ spl0_8
    | spl0_5
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s4,s1367,s1634,s66,s67,s142,s123,s124,s6,s13,s1491,s736,s1313,s17,s814,s1660,s1659,s113,s167,s168,s207,s1651,s1650,s1640,s1632,s19,s1629,s1625,s1631,s1658]) ).

cnf(s1662,plain,
    ( ~ spl0_47
    | ~ spl0_30 ),
    inference(rat,[],[s1028,s70,s71,s144]) ).

cnf(s1663,plain,
    ( ~ spl0_69
    | ~ spl0_6 ),
    inference(rat,[],[s1440,s94,s95,s156]) ).

cnf(s1668,plain,
    ( ~ spl0_50
    | ~ spl0_30 ),
    inference(rat,[],[s665,s57,s58,s139]) ).

cnf(s1672,plain,
    ( ~ spl0_29
    | ~ spl0_49
    | ~ spl0_30 ),
    inference(rat,[],[s1373,s53,s54]) ).

cnf(s1673,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s1583,s100,s101,s159,s14,s205,s1672,s1668,s866,s179,s180,s181,s40,s1663,s31,s352,s814,s28,s1662,s2,s1623,s33,s27,s1661,s1624,s1631]) ).

cnf(s1675,plain,
    ( spl0_82
    | ~ spl0_12
    | ~ spl0_8 ),
    inference(rat,[],[s416,s1096,s50,s51,s52]) ).

cnf(s1676,plain,
    ( spl0_24
    | ~ spl0_5 ),
    inference(rat,[],[s1568,s113,s167,s168]) ).

cnf(s1678,plain,
    ( ~ spl0_66
    | ~ spl0_5 ),
    inference(rat,[],[s1570,s59,s140,s141]) ).

cnf(s1683,plain,
    ( spl0_71
    | ~ spl0_51 ),
    inference(rat,[],[s1136,s82,s83,s84]) ).

cnf(s1686,plain,
    ( spl0_115
    | ~ spl0_28
    | ~ spl0_36 ),
    inference(rat,[],[s1434,s1476,s80,s152]) ).

cnf(s1688,plain,
    ( spl0_111
    | ~ spl0_14
    | spl0_13
    | spl0_3 ),
    inference(rat,[],[s1633,s661,s1577,s1643,s78,s148,s149]) ).

cnf(s1689,plain,
    ( ~ spl0_14
    | spl0_113
    | ~ spl0_11
    | spl0_13
    | ~ spl0_36
    | spl0_66
    | spl0_3 ),
    inference(rat,[],[s1437,s865,s116,s182,s183,s38,s1686,s206,s1688]) ).

cnf(s1691,plain,
    ( ~ spl0_14
    | ~ spl0_11
    | ~ spl0_62
    | spl0_13
    | ~ spl0_36
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s866,s179,s180,s181,s20,s374,s88,s89,s153,s36,s433,s1565,s79,s150,s151,s1689,s1678]) ).

cnf(s1692,plain,
    ( ~ spl0_64
    | ~ spl0_51 ),
    inference(rat,[],[s1138,s63,s64,s65]) ).

cnf(s1694,plain,
    ( spl0_63
    | ~ spl0_10
    | ~ spl0_5 ),
    inference(rat,[],[s1553,s712,s117,s184,s185]) ).

cnf(s1695,plain,
    ( spl0_111
    | ~ spl0_52 ),
    inference(rat,[],[s1177,s78,s148,s149]) ).

cnf(s1696,plain,
    ( ~ spl0_113
    | ~ spl0_10
    | ~ spl0_5 ),
    inference(rat,[],[s433,s1565,s79,s150,s151]) ).

cnf(s1697,plain,
    ( ~ spl0_8
    | spl0_82
    | ~ spl0_5
    | ~ spl0_53
    | ~ spl0_19
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s1532,s1417,s116,s182,s183,s38,s1686,s206,s1696,s1695,s37,s1694,s1692,s5,s8,s1691,s1319,s4,s1675,s1637,s1632,s1625,s625,s1678]) ).

cnf(s1700,plain,
    ( spl0_60
    | ~ spl0_21
    | ~ spl0_49
    | ~ spl0_30 ),
    inference(rat,[],[s1375,s925,s90,s91,s154]) ).

cnf(s1701,plain,
    ( ~ spl0_59
    | ~ spl0_11 ),
    inference(rat,[],[s1248,s92,s93,s155]) ).

cnf(s1702,plain,
    ( spl0_43
    | ~ spl0_14 ),
    inference(rat,[],[s506,s169,s170,s171]) ).

cnf(s1703,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1437,s865,s116,s182,s183,s38,s1686,s23,s1702,s1700,s35,s1701,s4,s1641,s206,s31,s1696,s1643,s352,s28,s1662,s33,s24,s1697,s1678,s50,s51,s207,s1676,s1673,s1658,s1631,s1624,s1]) ).

cnf(s1704,plain,
    ~ spl0_3,
    inference(rat,[],[s204,s239,s248,s260]) ).

cnf(s1705,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s207,s1697,s1658,s1631,s1624,s1676,s1704]) ).

cnf(s1706,plain,
    ( ~ spl0_64
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s1547,s63,s64]) ).

cnf(s1707,plain,
    ( ~ spl0_10
    | ~ spl0_115
    | spl0_64
    | ~ spl0_5 ),
    inference(rat,[],[s1695,s206,s37,s1696,s1694,s1704]) ).

cnf(s1708,plain,
    ( spl0_62
    | ~ spl0_25
    | ~ spl0_8 ),
    inference(rat,[],[s830,s483,s85,s86,s87]) ).

cnf(s1709,plain,
    ( ~ spl0_61
    | ~ spl0_25 ),
    inference(rat,[],[s374,s88,s89,s153]) ).

cnf(s1713,plain,
    ( ~ spl0_74
    | ~ spl0_25 ),
    inference(rat,[],[s368,s68,s69,s143]) ).

cnf(s1716,plain,
    ( ~ spl0_29
    | ~ spl0_52
    | ~ spl0_25 ),
    inference(rat,[],[s1060,s53,s137]) ).

cnf(s1717,plain,
    ( ~ spl0_136
    | ~ spl0_25 ),
    inference(rat,[],[s1583,s100,s101,s159]) ).

cnf(s1718,plain,
    ( ~ spl0_8
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s907,s1600,s58,s139,s205,s1717,s1716,s37,s1694,s36,s1709,s1708,s1706,s11,s1705,s1703,s1676,s1704]) ).

cnf(s1719,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s1437,s865,s116,s182,s183,s38,s1686,s23,s1700,s35,s1701,s4,s1641,s206,s31,s1643,s1696,s352,s28,s50,s51,s1662,s207,s33,s1658,s1631,s1624,s1678,s1702,s24,s1718,s1676,s1704]) ).

cnf(s1720,plain,
    ( ~ spl0_50
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s907,s1600,s58,s139]) ).

cnf(s1721,plain,
    ( ~ spl0_10
    | ~ spl0_25
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s1692,s30,s37,s1716,s205,s1720,s1694,s1717,s1704]) ).

cnf(s1722,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s1589,s123,s124,s193,s15,s1662,s28,s1721,s11,s1719,s1718,s1676,s1703,s1704]) ).

cnf(s1723,plain,
    ( ~ spl0_25
    | ~ spl0_52
    | spl0_50 ),
    inference(rat,[],[s205,s1716,s1717]) ).

cnf(s1724,plain,
    ( spl0_82
    | ~ spl0_38
    | ~ spl0_8 ),
    inference(rat,[],[s610,s1096,s50,s51,s52]) ).

cnf(s1725,plain,
    ( ~ spl0_16
    | spl0_145
    | ~ spl0_38 ),
    inference(rat,[],[s880,s132,s202,s203,s204,s1649]) ).

cnf(s1726,plain,
    ( ~ spl0_15
    | ~ spl0_11 ),
    inference(rat,[],[s1367,s66,s67,s142]) ).

cnf(s1727,plain,
    ( ~ spl0_145
    | ~ spl0_38
    | ~ spl0_8 ),
    inference(rat,[],[s970,s1183,s108,s109,s110]) ).

cnf(s1728,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | ~ spl0_2 ),
    inference(rat,[],[s1531,s1601,s66,s67,s142]) ).

cnf(s1729,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s1491,s1313,s167,s168,s11,s1723,s37,s1639,s17,s1720,s814,s6,s1660,s1728,s1725,s1727,s1659,s19,s1706,s1629,s1625,s1703,s1673,s1722,s1704]) ).

cnf(s1730,plain,
    spl0_1,
    inference(rat,[],[s1492,s1509,s113,s167,s11,s1589,s123,s124,s193,s15,s1662,s3,s28,s708,s1512,s131,s200,s27,s1729,s1673,s1722,s1703,s1704]) ).

cnf(s1731,plain,
    ( ~ spl0_45
    | ~ spl0_4 ),
    inference(rat,[],[s1149,s1194,s157,s158,s1730]) ).

cnf(s1732,plain,
    ( ~ spl0_11
    | ~ spl0_10
    | ~ spl0_19
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s1532,s1417,s116,s182,s183,s38,s1686,s37,s1707,s8,s1692,s1689,s1319,s1678,s625,s1625,s1694,s1696,s1704]) ).

cnf(s1733,plain,
    ( spl0_41
    | ~ spl0_25 ),
    inference(rat,[],[s383,s653,s114,s115,s175,s1730]) ).

cnf(s1734,plain,
    ( spl0_115
    | ~ spl0_41
    | ~ spl0_36 ),
    inference(rat,[],[s22,s984,s1686,s80,s81,s152,s1704]) ).

cnf(s1735,plain,
    ( ~ spl0_10
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s1589,s123,s124,s193,s10,s1643,s206,s1734,s1733,s26,s1732,s1696,s625,s1624,s1675,s207,s1658,s1676,s1731,s1704]) ).

cnf(s1736,plain,
    ( ~ spl0_39
    | ~ spl0_14 ),
    inference(rat,[],[s866,s179,s180,s181]) ).

cnf(s1737,plain,
    ( spl0_10
    | ~ spl0_8 ),
    inference(rat,[],[s36,s1709,s1708,s20,s1736,s5,s1625,s1704]) ).

cnf(s1738,plain,
    ( spl0_20
    | ~ spl0_8 ),
    inference(rat,[],[s358,s1413,s111,s112,s163,s1730]) ).

cnf(s1739,plain,
    ( spl0_268
    | ~ spl0_20
    | spl0_158
    | spl0_230
    | ~ spl0_231 ),
    inference(rat,[],[s9,s931,s550,s1704]) ).

cnf(s1740,plain,
    ( ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s22,s990,s1482,s1739,s1738,s120,s190,s191,s43,s1093,s1692,s1707,s1734,s1733,s1713,s11,s1735,s1737,s625,s1676,s1704]) ).

cnf(s1741,plain,
    ( spl0_70
    | ~ spl0_4 ),
    inference(rat,[],[s756,s764,s198,s199,s1730]) ).

cnf(s1742,plain,
    ( spl0_76
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(rat,[],[s1251,s504,s102,s160,s161]) ).

cnf(s1743,plain,
    ( ~ spl0_11
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s1437,s865,s116,s182,s183,s38,s1686,s41,s1683,s44,s1742,s1678,s206,s1643,s24,s1676,s1696,s28,s1662,s33,s1624,s1740,s1741,s1704]) ).

cnf(s1744,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s1692,s30,s37,s1723,s26,s1743,s1694,s28,s1668,s1662,s33,s1731,s1624,s1740,s1704]) ).

cnf(s1745,plain,
    spl0_44,
    inference(rat,[],[s962,s45,s133,s134,s1730]) ).

cnf(s1746,plain,
    ( ~ spl0_11
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(rat,[],[s959,s1491,s41,s6,s1683,s1726,s1319,s1725,s1727,s1741,s168,s167,s113,s207,s1658,s1724,s19,s1629,s1740,s1704]) ).

cnf(s1747,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(rat,[],[s552,s1496,s120,s190,s191,s43,s1093,s1683,s41,s959,s2,s1492,s1657,s8,s515,s1713,s26,s1746,s113,s167,s168,s207,s1741,s1731,s1658,s1624,s1724,s1725,s1727,s19,s1629,s1740,s1704]) ).

cnf(s1748,plain,
    ( ~ spl0_17
    | ~ spl0_8 ),
    inference(rat,[],[s9,s359,s918,s1738,s1747,s1704]) ).

cnf(s1749,plain,
    ( ~ spl0_45
    | ~ spl0_20 ),
    inference(rat,[],[s9,s1181,s1167,s1194,s99,s157,s158,s1704,s1730]) ).

cnf(s1750,plain,
    ~ spl0_8,
    inference(rat,[],[s22,s990,s1482,s1739,s120,s190,s191,s43,s1733,s1713,s26,s1749,s1360,s1531,s1726,s66,s67,s142,s6,s1748,s1725,s1727,s19,s1740,s1738,s1629,s1704]) ).

cnf(s1751,plain,
    spl0_4,
    inference(rat,[],[s25,s1745,s1704,s1750]) ).

cnf(s1752,plain,
    spl0_19,
    inference(rat,[],[s1624,s1751]) ).

cnf(s1755,plain,
    ~ spl0_45,
    inference(rat,[],[s1731,s1751]) ).

cnf(s1756,plain,
    spl0_70,
    inference(rat,[],[s1741,s1751]) ).

cnf(s1757,plain,
    ~ spl0_5,
    inference(rat,[],[s1744,s1751]) ).

cnf(s1758,plain,
    spl0_30,
    inference(rat,[],[s33,s1750,s1704,s1752]) ).

cnf(s1759,plain,
    spl0_46,
    inference(rat,[],[s27,s1750,s1704,s1757]) ).

cnf(s1760,plain,
    ~ spl0_47,
    inference(rat,[],[s1662,s1758]) ).

cnf(s1761,plain,
    ~ spl0_50,
    inference(rat,[],[s1668,s1758]) ).

cnf(s1762,plain,
    spl0_241,
    inference(rat,[],[s201,s1759]) ).

cnf(s1763,plain,
    spl0_240,
    inference(rat,[],[s200,s1759]) ).

cnf(s1764,plain,
    spl0_169,
    inference(rat,[],[s131,s1759]) ).

cnf(s1766,plain,
    spl0_10,
    inference(rat,[],[s28,s1750,s1704,s1760]) ).

cnf(s1767,plain,
    spl0_272,
    inference(rat,[],[s708,s1766,s1764,s1763]) ).

cnf(s1769,plain,
    ~ spl0_36,
    inference(rat,[],[s1427,s1764,s1762,s1767]) ).

cnf(s1773,plain,
    ~ spl0_71,
    inference(rat,[],[s41,s1704,s1756,s1769]) ).

cnf(s1778,plain,
    ~ spl0_51,
    inference(rat,[],[s1683,s1773]) ).

cnf(s1779,plain,
    ~ spl0_76,
    inference(rat,[],[s44,s1704,s1778]) ).

cnf(s1780,plain,
    spl0_52,
    inference(rat,[],[s30,s1761,s1704,s1778]) ).

cnf(s1782,plain,
    spl0_199,
    inference(rat,[],[s160,s1779]) ).

cnf(s1783,plain,
    ~ spl0_139,
    inference(rat,[],[s102,s1779]) ).

cnf(s1785,plain,
    ~ spl0_25,
    inference(rat,[],[s1723,s1761,s1780]) ).

cnf(s1787,plain,
    spl0_262,
    inference(rat,[],[s1534,s1783,s1782,s1780]) ).

cnf(s1789,plain,
    spl0_11,
    inference(rat,[],[s26,s1704,s1755,s1785]) ).

cnf(s1793,plain,
    $false,
    inference(rat,[],[s1251,s1782,s1783,s1789,s1787]) ).

fof(f5356,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1793]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN439-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n017.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 15:56:37 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % (3670472)Will run a generic schedule for satisfiability detection.
% 0.19/0.35  % (3670477)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2937997440_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.35  % Detected minimum model sizes of [1]
% 0.19/0.35  % Detected maximum model sizes of [53]
% 0.19/0.35  % TRYING [1]
% 0.19/0.35  % (3670478)% WARNING: option uhcvi not known.
% 0.19/0.35  % TRYING [2]
% 0.19/0.35  % TRYING [3]
% 0.19/0.35  % (3670480)dis+10_1_sil=32000:sp=arity:random_seed=3871307291:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.35  % (3670478)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=801902677:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.35  % (3670482)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2795836928:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.35  % (3670479)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1631048817:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.35  % (3670481)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1963454050:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.35  % (3670483)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2471343560:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.35  % TRYING [4]
% 0.19/0.35  % TRYING [5]
% 0.19/0.35  % (3670480)Instruction limit reached! 
% 0.19/0.35  % (3670480)------------------------------
% 0.19/0.35  % (3670480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35  % (3670480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35  % (3670480)CaDiCaL version: 2.1.3
% 0.19/0.35  % (3670480)Termination reason: Instruction limit
% 0.19/0.35  % (3670480)Termination phase: Saturation
% 0.19/0.35  % (3670480)Time elapsed: 0.067 s
% 0.19/0.35  % (3670480)Peak memory usage: 13 MB
% 0.19/0.35  % (3670480)Instructions burned: 103 (million)
% 0.19/0.35  % (3670483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3670472-3670483"...
% 0.19/0.35  % (3670481)Instruction limit reached! 
% 0.19/0.35  % (3670481)------------------------------
% 0.19/0.35  % (3670481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35  % (3670481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35  % (3670481)CaDiCaL version: 2.1.3
% 0.19/0.35  % (3670481)Termination reason: Instruction limit
% 0.19/0.35  % (3670481)Termination phase: Saturation
% 0.19/0.35  % (3670481)Time elapsed: 0.075 s
% 0.19/0.35  % (3670481)Peak memory usage: 14 MB
% 0.19/0.35  % (3670481)Instructions burned: 116 (million)
% 0.19/0.35  % (3670483)...printing done.
% 0.19/0.35  % (3670483)Refutation found. Thanks to Tanya!
% 0.19/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37  % (3670483)------------------------------
% 0.19/0.37  % (3670483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.37  % (3670483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.37  % (3670483)CaDiCaL version: 2.1.3
% 0.19/0.37  % (3670483)Termination reason: Refutation
% 0.19/0.37  % (3670483)Time elapsed: 0.078 s
% 0.19/0.37  % (3670483)Peak memory usage: 15 MB
% 0.19/0.37  % (3670483)Instructions burned: 127 (million)
% 0.19/0.37  % (3670472)Success in time 0.121 s
% 0.19/0.37  % Vampire exiting
%------------------------------------------------------------------------------