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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN440-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 02:08:23 PM UTC 2026

% Result   : Unsatisfiable 0.89s 0.37s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :  439
% Syntax   : Number of formulae    : 1516 (  23 unt; 246 def)
%            Number of atoms       : 4511 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 5302 (2307   ~;2749   |;   0   &)
%                                         ( 246 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  303 ( 302 usr; 299 prp; 0-1 aty)
%            Number of functors    :   51 (  51 usr;  51 con; 0-0 aty)
%            Number of variables   :  228 (   0 sgn 228   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp59
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp66
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f3,negated_conjecture,
    ( ~ hskp65
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f4,negated_conjecture,
    ( ~ hskp64
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f70,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f74,negated_conjecture,
    ( hskp33
    | hskp60
    | hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( hskp64
    | hskp65
    | hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp66
    | c1_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp66
    | c3_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp65
    | c2_1(a674) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp65
    | c0_1(a674) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp64
    | c3_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp64
    | c1_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp63
    | c3_1(a672) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp62
    | c3_1(a671) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp62
    | c0_1(a671) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp61
    | c2_1(a670) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp60
    | c0_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp60
    | c1_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp59
    | c2_1(a665) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp59
    | c3_1(a665) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp58
    | c3_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp57
    | c1_1(a662) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp57
    | c2_1(a662) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp56
    | c2_1(a658) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp56
    | c3_1(a658) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp55
    | c3_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp55
    | c1_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f99,negated_conjecture,
    ( ~ hskp53
    | c3_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp53
    | c0_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp52
    | c0_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f110,negated_conjecture,
    ( ~ hskp46
    | c1_1(a626) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp46
    | c0_1(a626) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp46
    | c3_1(a626) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp45
    | c3_1(a623) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp45
    | c2_1(a623) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp44
    | c2_1(a621) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp44
    | c3_1(a621) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp43
    | c0_1(a619) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp42
    | c1_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp41
    | c2_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp41
    | c3_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f124,negated_conjecture,
    ( ~ hskp39
    | c3_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp39
    | c2_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp38
    | c1_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp38
    | c3_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp38
    | c0_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp37
    | c1_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp37
    | c0_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp36
    | c1_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp36
    | c0_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp35
    | c2_1(a602) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f136,negated_conjecture,
    ( ~ hskp33
    | c0_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ hskp33
    | c3_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ hskp32
    | c0_1(a677) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f140,negated_conjecture,
    ( ~ hskp30
    | c0_1(a666) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ( ~ hskp26
    | c3_1(a652) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ( ~ hskp25
    | c3_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ( ~ hskp24
    | c3_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ( ~ hskp23
    | c2_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ( ~ hskp23
    | c3_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f150,negated_conjecture,
    ( ~ hskp18
    | c0_1(a632) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ( ~ hskp18
    | c3_1(a632) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ( ~ hskp17
    | c3_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ( ~ hskp16
    | c2_1(a627) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ( ~ hskp16
    | c0_1(a627) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ( ~ hskp14
    | c3_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ( ~ hskp11
    | c0_1(a616) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ( ~ hskp11
    | c1_1(a616) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f160,negated_conjecture,
    ( ~ hskp9
    | c1_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ( ~ hskp9
    | c2_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ( ~ hskp7
    | c1_1(a610) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ( ~ hskp6
    | c2_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ( ~ hskp5
    | c2_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ( ~ hskp3
    | c0_1(a603) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ( ~ hskp1
    | c0_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ( ~ hskp1
    | c2_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ( ~ hskp0
    | c0_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ( ~ c2_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ( ~ c1_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ( ~ c0_1(a673)
    | ~ hskp64 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f175,negated_conjecture,
    ( ~ c2_1(a672)
    | ~ hskp63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ( ~ c1_1(a671)
    | ~ hskp62 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ( ~ c1_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f179,negated_conjecture,
    ( ~ c2_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ( ~ c0_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ( ~ c0_1(a663)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ( ~ c1_1(a663)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ( ~ c0_1(a662)
    | ~ hskp57 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ( ~ c1_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ( ~ c2_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ( ~ c2_1(a648)
    | ~ hskp53 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ( ~ c2_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ( ~ c1_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f197,negated_conjecture,
    ( ~ c0_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f200,negated_conjecture,
    ( ~ c1_1(a619)
    | ~ hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f201,negated_conjecture,
    ( ~ c2_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ( ~ c3_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ( ~ c1_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ( ~ c1_1(a611)
    | ~ hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f205,negated_conjecture,
    ( ~ c2_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ( ~ c3_1(a605)
    | ~ hskp36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

fof(f207,negated_conjecture,
    ( ~ c3_1(a602)
    | ~ hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

fof(f208,negated_conjecture,
    ( ~ c1_1(a602)
    | ~ hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).

fof(f210,negated_conjecture,
    ( ~ c2_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause210) ).

fof(f211,negated_conjecture,
    ( ~ c3_1(a677)
    | ~ hskp32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause211) ).

fof(f212,negated_conjecture,
    ( ~ c2_1(a677)
    | ~ hskp32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause212) ).

fof(f215,negated_conjecture,
    ( ~ c2_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause215) ).

fof(f216,negated_conjecture,
    ( ~ c3_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause216) ).

fof(f217,negated_conjecture,
    ( ~ c1_1(a660)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause217) ).

fof(f218,negated_conjecture,
    ( ~ c3_1(a660)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause218) ).

fof(f219,negated_conjecture,
    ( ~ c0_1(a660)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause219) ).

fof(f225,negated_conjecture,
    ( ~ c1_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).

fof(f226,negated_conjecture,
    ( ~ c2_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).

fof(f227,negated_conjecture,
    ( ~ c2_1(a646)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).

fof(f229,negated_conjecture,
    ( ~ c0_1(a643)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).

fof(f230,negated_conjecture,
    ( ~ c1_1(a643)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).

fof(f231,negated_conjecture,
    ( ~ c0_1(a642)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause231) ).

fof(f235,negated_conjecture,
    ( ~ c1_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause235) ).

fof(f236,negated_conjecture,
    ( ~ c2_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause236) ).

fof(f237,negated_conjecture,
    ( ~ c3_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause237) ).

fof(f238,negated_conjecture,
    ( ~ c1_1(a634)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause238) ).

fof(f239,negated_conjecture,
    ( ~ c0_1(a634)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause239) ).

fof(f240,negated_conjecture,
    ( ~ c3_1(a634)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause240) ).

fof(f241,negated_conjecture,
    ( ~ c1_1(a632)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).

fof(f242,negated_conjecture,
    ( ~ c2_1(a628)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).

fof(f243,negated_conjecture,
    ( ~ c1_1(a628)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).

fof(f244,negated_conjecture,
    ( ~ c3_1(a627)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause244) ).

fof(f245,negated_conjecture,
    ( ~ c2_1(a625)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).

fof(f246,negated_conjecture,
    ( ~ c1_1(a625)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).

fof(f247,negated_conjecture,
    ( ~ c0_1(a625)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause247) ).

fof(f248,negated_conjecture,
    ( ~ c1_1(a624)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause248) ).

fof(f249,negated_conjecture,
    ( ~ c2_1(a624)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause249) ).

fof(f250,negated_conjecture,
    ( ~ c1_1(a622)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause250) ).

fof(f252,negated_conjecture,
    ( ~ c0_1(a622)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause252) ).

fof(f253,negated_conjecture,
    ( ~ c0_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause253) ).

fof(f254,negated_conjecture,
    ( ~ c3_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause254) ).

fof(f256,negated_conjecture,
    ( ~ c2_1(a616)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause256) ).

fof(f258,negated_conjecture,
    ( ~ c3_1(a613)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause258) ).

fof(f261,negated_conjecture,
    ( ~ c2_1(a610)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause261) ).

fof(f262,negated_conjecture,
    ( ~ c0_1(a610)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause262) ).

fof(f264,negated_conjecture,
    ( ~ c1_1(a609)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).

fof(f265,negated_conjecture,
    ( ~ c0_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause265) ).

fof(f266,negated_conjecture,
    ( ~ c3_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).

fof(f267,negated_conjecture,
    ( ~ c2_1(a604)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause267) ).

fof(f268,negated_conjecture,
    ( ~ c0_1(a604)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause268) ).

fof(f269,negated_conjecture,
    ( ~ c3_1(a604)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause269) ).

fof(f270,negated_conjecture,
    ( ~ c1_1(a603)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause270) ).

fof(f271,negated_conjecture,
    ( ~ c3_1(a603)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause271) ).

fof(f274,negated_conjecture,
    ( ~ c1_1(a598)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause274) ).

fof(f275,negated_conjecture,
    ( ~ c3_1(a597)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause275) ).

fof(f276,negated_conjecture,
    ( ~ c1_1(a597)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).

fof(f279,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | hskp62
      | hskp63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause279) ).

fof(f280,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp0
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause280) ).

fof(f284,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | hskp25
      | hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

fof(f285,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp53
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).

fof(f287,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp26
      | hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause287) ).

fof(f288,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp3
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause288) ).

fof(f289,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).

fof(f290,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp7
      | hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).

fof(f291,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp43
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).

fof(f292,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp44
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause292) ).

fof(f293,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp14
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause293) ).

fof(f294,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp23
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).

fof(f295,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp58
      | hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

fof(f296,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp32
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause296) ).

fof(f297,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause297) ).

fof(f298,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp5
      | hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).

fof(f299,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause299) ).

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

fof(f302,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | hskp38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause302) ).

fof(f303,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).

fof(f305,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).

fof(f306,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).

fof(f307,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause307) ).

fof(f308,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause308) ).

fof(f309,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause309) ).

fof(f310,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause310) ).

fof(f311,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).

fof(f312,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause312) ).

fof(f313,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause313) ).

fof(f314,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).

fof(f315,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause315) ).

fof(f318,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause318) ).

fof(f319,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | c1_1(X1)
      | hskp57 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause319) ).

fof(f320,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause320) ).

fof(f321,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause321) ).

fof(f322,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause322) ).

fof(f325,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause325) ).

fof(f326,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause326) ).

fof(f327,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause327) ).

fof(f329,plain,
    ( hskp59
    | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f365,plain,
    ( hskp3
    | ~ hskp4
    | hskp36 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f366,plain,
    ( ~ hskp16
    | ~ hskp17
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f367,plain,
    ( ~ hskp18
    | hskp9
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f369,plain,
    ( hskp33
    | ~ hskp60
    | hskp61 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f370,plain,
    ( ~ hskp65
    | ~ c0_1(a674) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f371,plain,
    ( hskp63
    | c3_1(a672) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f372,plain,
    ( hskp62
    | c3_1(a671) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f373,plain,
    ( hskp62
    | ~ c0_1(a671) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f374,plain,
    ( hskp60
    | ~ c0_1(a669) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f375,plain,
    ( hskp60
    | c1_1(a669) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f376,plain,
    ( hskp57
    | c1_1(a662) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f377,plain,
    ( hskp57
    | c2_1(a662) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f378,plain,
    ( hskp56
    | c2_1(a658) ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f379,plain,
    ( hskp56
    | c3_1(a658) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f380,plain,
    ( hskp55
    | c3_1(a653) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f381,plain,
    ( hskp55
    | c1_1(a653) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f384,plain,
    ( hskp53
    | c3_1(a648) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f385,plain,
    ( hskp53
    | ~ c0_1(a648) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f386,plain,
    ( hskp52
    | ~ c0_1(a647) ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f392,plain,
    ( ~ hskp46
    | ~ c0_1(a626) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f393,plain,
    ( hskp43
    | ~ c0_1(a619) ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f394,plain,
    ( hskp42
    | c1_1(a618) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f396,plain,
    ( hskp38
    | c1_1(a608) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f397,plain,
    ( hskp38
    | c3_1(a608) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f398,plain,
    ( hskp38
    | ~ c0_1(a608) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f399,plain,
    ( ~ hskp37
    | ~ c0_1(a607) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f400,plain,
    ( ~ hskp36
    | ~ c0_1(a605) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f401,plain,
    ( hskp35
    | c2_1(a602) ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f403,plain,
    ( ~ hskp33
    | ~ c0_1(a599) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f404,plain,
    ( ~ hskp32
    | ~ c0_1(a677) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f405,plain,
    ( hskp30
    | ~ c0_1(a666) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f407,plain,
    ( hskp26
    | c3_1(a652) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f408,plain,
    ( hskp24
    | c3_1(a643) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f411,plain,
    ( hskp18
    | ~ c0_1(a632) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f412,plain,
    ( hskp18
    | c3_1(a632) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f413,plain,
    ( hskp17
    | c3_1(a628) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f414,plain,
    ( hskp16
    | c2_1(a627) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f415,plain,
    ( hskp16
    | ~ c0_1(a627) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f416,plain,
    ( ~ hskp11
    | ~ c0_1(a616) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f420,plain,
    ( hskp6
    | c2_1(a609) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f421,plain,
    ( ~ hskp3
    | ~ c0_1(a603) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f423,plain,
    ( hskp1
    | ~ c0_1(a598) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f424,plain,
    ( hskp1
    | c2_1(a598) ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f425,plain,
    ( hskp0
    | ~ c0_1(a597) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f426,plain,
    ( c0_1(a673)
    | ~ hskp64 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f428,plain,
    ( ~ c2_1(a672)
    | hskp63 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f429,plain,
    ( ~ c1_1(a671)
    | hskp62 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f431,plain,
    ( ~ c2_1(a669)
    | hskp60 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f432,plain,
    ( c0_1(a665)
    | ~ hskp59 ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f433,plain,
    ( c0_1(a663)
    | ~ hskp58 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f434,plain,
    ( c0_1(a662)
    | hskp57 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f435,plain,
    ( ~ c1_1(a658)
    | hskp56 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f436,plain,
    ( ~ c2_1(a653)
    | hskp55 ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f438,plain,
    ( ~ c2_1(a648)
    | hskp53 ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f439,plain,
    ( ~ c2_1(a647)
    | hskp52 ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f440,plain,
    ( ~ c1_1(a647)
    | hskp52 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f446,plain,
    ( c0_1(a623)
    | ~ hskp45 ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f449,plain,
    ( ~ c1_1(a619)
    | hskp43 ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f450,plain,
    ( ~ c2_1(a618)
    | hskp42 ),
    inference(consistent_polarity_flipping,[],[f201]) ).

fof(f451,plain,
    ( ~ c3_1(a618)
    | hskp42 ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f452,plain,
    ( ~ c3_1(a602)
    | hskp35 ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f453,plain,
    ( ~ c1_1(a602)
    | hskp35 ),
    inference(consistent_polarity_flipping,[],[f208]) ).

fof(f455,plain,
    ( ~ c2_1(a666)
    | hskp30 ),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f456,plain,
    ( ~ c3_1(a666)
    | hskp30 ),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f457,plain,
    ( ~ c1_1(a660)
    | hskp29 ),
    inference(consistent_polarity_flipping,[],[f217]) ).

fof(f458,plain,
    ( ~ c3_1(a660)
    | hskp29 ),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f459,plain,
    ( c0_1(a660)
    | hskp29 ),
    inference(consistent_polarity_flipping,[],[f219]) ).

fof(f463,plain,
    ( ~ c1_1(a652)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f225]) ).

fof(f464,plain,
    ( ~ c2_1(a652)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f466,plain,
    ( c0_1(a643)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f229]) ).

fof(f467,plain,
    ( ~ c1_1(a643)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f230]) ).

fof(f468,plain,
    ( c0_1(a642)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f471,plain,
    ( ~ c1_1(a635)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f235]) ).

fof(f472,plain,
    ( ~ c2_1(a635)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f236]) ).

fof(f473,plain,
    ( ~ c3_1(a635)
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f237]) ).

fof(f474,plain,
    ( c0_1(a634)
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f239]) ).

fof(f475,plain,
    ( ~ c1_1(a632)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f241]) ).

fof(f476,plain,
    ( ~ c2_1(a628)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f477,plain,
    ( ~ c1_1(a628)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f243]) ).

fof(f478,plain,
    ( ~ c3_1(a627)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f244]) ).

fof(f479,plain,
    ( ~ c2_1(a625)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f245]) ).

fof(f480,plain,
    ( ~ c1_1(a625)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f481,plain,
    ( c0_1(a625)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f247]) ).

fof(f482,plain,
    ( ~ c1_1(a622)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f250]) ).

fof(f484,plain,
    ( c0_1(a622)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f252]) ).

fof(f485,plain,
    ( c0_1(a620)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f253]) ).

fof(f486,plain,
    ( ~ c3_1(a620)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f254]) ).

fof(f491,plain,
    ( c0_1(a610)
    | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f262]) ).

fof(f493,plain,
    ( ~ c1_1(a609)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f264]) ).

fof(f494,plain,
    ( c0_1(a606)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f265]) ).

fof(f495,plain,
    ( ~ c2_1(a604)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f267]) ).

fof(f496,plain,
    ( c0_1(a604)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f268]) ).

fof(f497,plain,
    ( ~ c3_1(a604)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f269]) ).

fof(f498,plain,
    ( ~ c1_1(a598)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f274]) ).

fof(f499,plain,
    ( ~ c3_1(a597)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f275]) ).

fof(f500,plain,
    ( ~ c1_1(a597)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f276]) ).

fof(f503,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ hskp62
      | ~ hskp63 ),
    inference(consistent_polarity_flipping,[],[f279]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ hskp0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f280]) ).

fof(f508,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | hskp25
      | ~ hskp52 ),
    inference(consistent_polarity_flipping,[],[f284]) ).

fof(f509,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ hskp53
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f285]) ).

fof(f511,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | ~ hskp26
      | ~ hskp55 ),
    inference(consistent_polarity_flipping,[],[f287]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X0)
      | hskp3
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f288]) ).

fof(f513,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f289]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp7
      | hskp39 ),
    inference(consistent_polarity_flipping,[],[f290]) ).

fof(f515,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ hskp43
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f291]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp44
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f292]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp14
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f293]) ).

fof(f518,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp23
      | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f294]) ).

fof(f519,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp58
      | hskp41 ),
    inference(consistent_polarity_flipping,[],[f295]) ).

fof(f520,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp32
      | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f296]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0) ),
    inference(consistent_polarity_flipping,[],[f297]) ).

fof(f522,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp5
      | hskp37 ),
    inference(consistent_polarity_flipping,[],[f298]) ).

fof(f523,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c3_1(X1) ),
    inference(consistent_polarity_flipping,[],[f299]) ).

fof(f525,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1) ),
    inference(consistent_polarity_flipping,[],[f301]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ hskp38 ),
    inference(consistent_polarity_flipping,[],[f302]) ).

fof(f527,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ hskp42 ),
    inference(consistent_polarity_flipping,[],[f303]) ).

fof(f529,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ hskp55 ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ hskp56 ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f531,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | hskp45 ),
    inference(consistent_polarity_flipping,[],[f308]) ).

fof(f532,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp46 ),
    inference(consistent_polarity_flipping,[],[f309]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f310]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f311]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c2_1(X1)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f312]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ hskp55 ),
    inference(consistent_polarity_flipping,[],[f313]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | hskp41 ),
    inference(consistent_polarity_flipping,[],[f314]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp36 ),
    inference(consistent_polarity_flipping,[],[f315]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | ~ hskp35 ),
    inference(consistent_polarity_flipping,[],[f318]) ).

fof(f542,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ hskp57 ),
    inference(consistent_polarity_flipping,[],[f319]) ).

fof(f543,plain,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1) ),
    inference(consistent_polarity_flipping,[],[f320]) ).

fof(f544,plain,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f321]) ).

fof(f545,plain,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c3_1(X2)
      | ~ c0_1(X2)
      | c2_1(X2)
      | c1_1(X0)
      | c2_1(X1) ),
    inference(consistent_polarity_flipping,[],[f322]) ).

fof(f548,plain,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f325]) ).

fof(f549,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f326]) ).

fof(f550,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c0_1(X2)
      | c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f327]) ).

fof(f556,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f557,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f559,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f563,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f567,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f568,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f571,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f573,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f574,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f575,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f550,f573,f559,f570,f567]) ).

fof(f577,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f578,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f581,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f584,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f549,f583,f559,f580,f577]) ).

fof(f587,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f591,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f592,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f548,f570,f559,f590,f587]) ).

fof(f594,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f595,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f598,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f602,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f603,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( spl0_14
    | spl0_5
    | spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f545,f559,f602,f567,f598]) ).

fof(f606,definition,
    ( spl0_16
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f610,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f611,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f544,f583,f559,f609,f606]) ).

fof(f613,definition,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f614,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f616,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f617,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( spl0_18
    | spl0_9
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f543,f559,f616,f580,f613]) ).

fof(f620,definition,
    ( spl0_20
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f624,definition,
    ( spl0_21
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f625,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( ~ spl0_20
    | spl0_15
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f542,f624,f559,f602,f620]) ).

fof(f628,definition,
    ( spl0_22
  <=> hskp35 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ spl0_22
    | spl0_4
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f541,f567,f559,f563,f628]) ).

fof(f638,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f639,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f642,definition,
    ( spl0_25
  <=> hskp36 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f645,plain,
    ( spl0_25
    | spl0_13
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f538,f624,f559,f594,f642]) ).

fof(f647,definition,
    ( spl0_26
  <=> hskp41 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f651,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f652,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f654,definition,
    ( spl0_28
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f655,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f656,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f537,f654,f559,f651,f647]) ).

fof(f658,definition,
    ( spl0_29
  <=> hskp55 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ spl0_29
    | spl0_15
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f536,f609,f559,f602,f658]) ).

fof(f663,definition,
    ( spl0_30
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_30
    | spl0_27
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f535,f587,f559,f651,f663]) ).

fof(f668,definition,
    ( spl0_31
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f672,definition,
    ( spl0_32
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( ~ spl0_31
    | spl0_10
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f534,f672,f559,f583,f668]) ).

fof(f676,definition,
    ( spl0_33
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f680,definition,
    ( spl0_34
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f681,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( ~ spl0_33
    | spl0_34
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f533,f556,f559,f680,f676]) ).

fof(f684,definition,
    ( spl0_35
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f688,definition,
    ( spl0_36
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f689,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_35
    | spl0_36
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f532,f602,f559,f688,f684]) ).

fof(f692,definition,
    ( spl0_37
  <=> hskp45 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f695,plain,
    ( spl0_37
    | spl0_6
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f531,f688,f559,f570,f692]) ).

fof(f697,definition,
    ( spl0_38
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f701,definition,
    ( spl0_39
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f702,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_38
    | spl0_39
    | spl0_24
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f307,f559,f638,f701,f697]) ).

fof(f705,definition,
    ( spl0_40
  <=> hskp56 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ spl0_40
    | spl0_11
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f530,f688,f559,f587,f705]) ).

fof(f710,definition,
    ( spl0_41
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f711,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f712,plain,
    ( ~ spl0_29
    | spl0_11
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f529,f710,f559,f587,f658]) ).

fof(f718,definition,
    ( spl0_43
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f719,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f722,definition,
    ( spl0_44
  <=> hskp42 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ spl0_44
    | spl0_17
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f527,f594,f559,f609,f722]) ).

fof(f727,definition,
    ( spl0_45
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ spl0_45
    | spl0_18
    | ~ spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f526,f718,f559,f613,f727]) ).

fof(f731,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_41 ),
    inference(avatar_split_clause,[],[f525,f710,f577,f559]) ).

fof(f733,plain,
    ( spl0_39
    | spl0_41
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f523,f559,f710,f701]) ).

fof(f735,definition,
    ( spl0_46
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_46
    | spl0_30
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f522,f563,f559,f663,f735]) ).

fof(f739,plain,
    ( spl0_16
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f521,f559,f598,f606]) ).

fof(f741,definition,
    ( spl0_47
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f745,definition,
    ( spl0_48
  <=> hskp32 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f748,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f520,f590,f559,f745,f741]) ).

fof(f750,definition,
    ( spl0_49
  <=> hskp58 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f753,plain,
    ( spl0_26
    | spl0_49
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f519,f567,f559,f750,f647]) ).

fof(f755,definition,
    ( spl0_50
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f759,definition,
    ( spl0_51
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f762,plain,
    ( ~ spl0_50
    | spl0_51
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f518,f583,f559,f759,f755]) ).

fof(f764,definition,
    ( spl0_52
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f768,definition,
    ( spl0_53
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ spl0_52
    | spl0_53
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f517,f590,f559,f768,f764]) ).

fof(f773,definition,
    ( spl0_54
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f777,definition,
    ( spl0_55
  <=> hskp44 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ spl0_54
    | spl0_55
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f516,f577,f559,f777,f773]) ).

fof(f782,definition,
    ( spl0_56
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f786,definition,
    ( spl0_57
  <=> hskp43 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f789,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f515,f654,f559,f786,f782]) ).

fof(f791,definition,
    ( spl0_58
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f795,definition,
    ( spl0_59
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_58
    | spl0_59
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f514,f651,f559,f795,f791]) ).

fof(f800,definition,
    ( spl0_60
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ spl0_60
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f513,f624,f559,f800]) ).

fof(f805,definition,
    ( spl0_61
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f809,definition,
    ( spl0_62
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ spl0_61
    | spl0_62
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f512,f680,f559,f809,f805]) ).

fof(f814,definition,
    ( spl0_63
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f817,plain,
    ( ~ spl0_29
    | ~ spl0_63
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f511,f594,f559,f814,f658]) ).

fof(f824,definition,
    ( spl0_65
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f828,definition,
    ( spl0_66
  <=> hskp53 ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_65
    | ~ spl0_66
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f509,f609,f559,f828,f824]) ).

fof(f833,definition,
    ( spl0_67
  <=> hskp52 ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f837,definition,
    ( spl0_68
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f840,plain,
    ( ~ spl0_67
    | spl0_68
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f508,f672,f559,f837,f833]) ).

fof(f872,definition,
    ( spl0_76
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f876,definition,
    ( spl0_77
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f504,f609,f559,f876,f872]) ).

fof(f881,definition,
    ( spl0_78
  <=> hskp63 ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f885,definition,
    ( spl0_79
  <=> hskp62 ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f888,plain,
    ( ~ spl0_78
    | ~ spl0_79
    | spl0_39
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f503,f559,f701,f885,f881]) ).

fof(f899,definition,
    ( spl0_82
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f908,definition,
    ( spl0_84
  <=> c1_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_77
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f500,f908,f876]) ).

fof(f913,definition,
    ( spl0_85
  <=> c3_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_77
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f499,f913,f876]) ).

fof(f918,definition,
    ( spl0_86
  <=> c1_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_76
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f498,f918,f872]) ).

fof(f937,definition,
    ( spl0_90
  <=> c3_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f940,plain,
    ( ~ spl0_62
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f271,f937,f809]) ).

fof(f942,definition,
    ( spl0_91
  <=> c1_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f945,plain,
    ( ~ spl0_62
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f270,f942,f809]) ).

fof(f947,definition,
    ( spl0_92
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f951,definition,
    ( spl0_93
  <=> c3_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f954,plain,
    ( spl0_92
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f497,f951,f947]) ).

fof(f956,definition,
    ( spl0_94
  <=> c0_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f958,plain,
    ( c0_1(a604)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( spl0_92
    | spl0_94 ),
    inference(avatar_split_clause,[],[f496,f956,f947]) ).

fof(f961,definition,
    ( spl0_95
  <=> c2_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c2_1(a604)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( spl0_92
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f495,f961,f947]) ).

fof(f966,definition,
    ( spl0_96
  <=> c3_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f969,plain,
    ( ~ spl0_30
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f266,f966,f663]) ).

fof(f971,definition,
    ( spl0_97
  <=> c0_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f973,plain,
    ( c0_1(a606)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( ~ spl0_30
    | spl0_97 ),
    inference(avatar_split_clause,[],[f494,f971,f663]) ).

fof(f976,definition,
    ( spl0_98
  <=> c1_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f979,plain,
    ( spl0_60
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f493,f976,f800]) ).

fof(f986,definition,
    ( spl0_100
  <=> c0_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f988,plain,
    ( c0_1(a610)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( ~ spl0_59
    | spl0_100 ),
    inference(avatar_split_clause,[],[f491,f986,f795]) ).

fof(f991,definition,
    ( spl0_101
  <=> c2_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f993,plain,
    ( ~ c2_1(a610)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f994,plain,
    ( ~ spl0_59
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f261,f991,f795]) ).

fof(f1006,definition,
    ( spl0_104
  <=> c3_1(a613) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f1009,plain,
    ( ~ spl0_82
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f258,f1006,f899]) ).

fof(f1016,definition,
    ( spl0_106
  <=> c2_1(a616) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ spl0_38
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f256,f1016,f697]) ).

fof(f1026,definition,
    ( spl0_108
  <=> c3_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl0_56
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f486,f1026,f782]) ).

fof(f1031,definition,
    ( spl0_109
  <=> c0_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f1033,plain,
    ( c0_1(a620)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( spl0_56
    | spl0_109 ),
    inference(avatar_split_clause,[],[f485,f1031,f782]) ).

fof(f1036,definition,
    ( spl0_110
  <=> c0_1(a622) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f1038,plain,
    ( c0_1(a622)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( spl0_54
    | spl0_110 ),
    inference(avatar_split_clause,[],[f484,f1036,f773]) ).

fof(f1046,definition,
    ( spl0_112
  <=> c1_1(a622) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f1049,plain,
    ( spl0_54
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f482,f1046,f773]) ).

fof(f1051,definition,
    ( spl0_113
  <=> c2_1(a624) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ c2_1(a624)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1054,plain,
    ( ~ spl0_53
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f249,f1051,f768]) ).

fof(f1056,definition,
    ( spl0_114
  <=> c1_1(a624) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f1059,plain,
    ( ~ spl0_53
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f248,f1056,f768]) ).

fof(f1061,definition,
    ( spl0_115
  <=> c0_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f1063,plain,
    ( c0_1(a625)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( spl0_52
    | spl0_115 ),
    inference(avatar_split_clause,[],[f481,f1061,f764]) ).

fof(f1066,definition,
    ( spl0_116
  <=> c1_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1069,plain,
    ( spl0_52
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f480,f1066,f764]) ).

fof(f1071,definition,
    ( spl0_117
  <=> c2_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1073,plain,
    ( ~ c2_1(a625)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1074,plain,
    ( spl0_52
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f479,f1071,f764]) ).

fof(f1076,definition,
    ( spl0_118
  <=> c3_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1079,plain,
    ( spl0_33
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f478,f1076,f676]) ).

fof(f1081,definition,
    ( spl0_119
  <=> c1_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1084,plain,
    ( spl0_65
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f477,f1081,f824]) ).

fof(f1086,definition,
    ( spl0_120
  <=> c2_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1088,plain,
    ( ~ c2_1(a628)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f1089,plain,
    ( spl0_65
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f476,f1086,f824]) ).

fof(f1091,definition,
    ( spl0_121
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1095,definition,
    ( spl0_122
  <=> c1_1(a632) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1098,plain,
    ( spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f475,f1095,f1091]) ).

fof(f1100,definition,
    ( spl0_123
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1104,definition,
    ( spl0_124
  <=> c3_1(a634) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1107,plain,
    ( ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f240,f1104,f1100]) ).

fof(f1109,definition,
    ( spl0_125
  <=> c0_1(a634) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1111,plain,
    ( c0_1(a634)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1109]) ).

fof(f1112,plain,
    ( ~ spl0_123
    | spl0_125 ),
    inference(avatar_split_clause,[],[f474,f1109,f1100]) ).

fof(f1114,definition,
    ( spl0_126
  <=> c1_1(a634) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1117,plain,
    ( ~ spl0_123
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f238,f1114,f1100]) ).

fof(f1119,definition,
    ( spl0_127
  <=> c3_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1122,plain,
    ( spl0_31
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f473,f1119,f668]) ).

fof(f1124,definition,
    ( spl0_128
  <=> c2_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1126,plain,
    ( ~ c2_1(a635)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1127,plain,
    ( spl0_31
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f472,f1124,f668]) ).

fof(f1129,definition,
    ( spl0_129
  <=> c1_1(a635) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1132,plain,
    ( spl0_31
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f471,f1129,f668]) ).

fof(f1149,definition,
    ( spl0_133
  <=> c0_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1151,plain,
    ( c0_1(a642)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1152,plain,
    ( ~ spl0_51
    | spl0_133 ),
    inference(avatar_split_clause,[],[f468,f1149,f759]) ).

fof(f1154,definition,
    ( spl0_134
  <=> c1_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1157,plain,
    ( spl0_50
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f467,f1154,f755]) ).

fof(f1159,definition,
    ( spl0_135
  <=> c0_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1161,plain,
    ( c0_1(a643)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1162,plain,
    ( spl0_50
    | spl0_135 ),
    inference(avatar_split_clause,[],[f466,f1159,f755]) ).

fof(f1169,definition,
    ( spl0_137
  <=> c2_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1171,plain,
    ( ~ c2_1(a646)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1172,plain,
    ( ~ spl0_68
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f227,f1169,f837]) ).

fof(f1174,definition,
    ( spl0_138
  <=> c2_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1176,plain,
    ( ~ c2_1(a652)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1177,plain,
    ( spl0_63
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f464,f1174,f814]) ).

fof(f1179,definition,
    ( spl0_139
  <=> c1_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1182,plain,
    ( spl0_63
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f463,f1179,f814]) ).

fof(f1217,definition,
    ( spl0_147
  <=> c0_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1219,plain,
    ( c0_1(a660)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f1220,plain,
    ( spl0_61
    | spl0_147 ),
    inference(avatar_split_clause,[],[f459,f1217,f805]) ).

fof(f1222,definition,
    ( spl0_148
  <=> c3_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1225,plain,
    ( spl0_61
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f458,f1222,f805]) ).

fof(f1227,definition,
    ( spl0_149
  <=> c1_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1230,plain,
    ( spl0_61
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f457,f1227,f805]) ).

fof(f1232,definition,
    ( spl0_150
  <=> c3_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1235,plain,
    ( spl0_47
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f456,f1232,f741]) ).

fof(f1237,definition,
    ( spl0_151
  <=> c2_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1239,plain,
    ( ~ c2_1(a666)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1237]) ).

fof(f1240,plain,
    ( spl0_47
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f455,f1237,f741]) ).

fof(f1252,definition,
    ( spl0_154
  <=> c2_1(a677) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1254,plain,
    ( ~ c2_1(a677)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1252]) ).

fof(f1255,plain,
    ( ~ spl0_48
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f212,f1252,f745]) ).

fof(f1257,definition,
    ( spl0_155
  <=> c3_1(a677) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1260,plain,
    ( ~ spl0_48
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f211,f1257,f745]) ).

fof(f1262,definition,
    ( spl0_156
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1266,definition,
    ( spl0_157
  <=> c2_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1269,plain,
    ( ~ spl0_156
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f210,f1266,f1262]) ).

fof(f1280,definition,
    ( spl0_160
  <=> c1_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1283,plain,
    ( spl0_22
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f453,f1280,f628]) ).

fof(f1285,definition,
    ( spl0_161
  <=> c3_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1288,plain,
    ( spl0_22
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f452,f1285,f628]) ).

fof(f1290,definition,
    ( spl0_162
  <=> c3_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1293,plain,
    ( ~ spl0_25
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f206,f1290,f642]) ).

fof(f1295,definition,
    ( spl0_163
  <=> c2_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1298,plain,
    ( ~ spl0_46
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f205,f1295,f735]) ).

fof(f1300,definition,
    ( spl0_164
  <=> c1_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1303,plain,
    ( ~ spl0_58
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f204,f1300,f791]) ).

fof(f1305,definition,
    ( spl0_165
  <=> c1_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1308,plain,
    ( ~ spl0_26
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f203,f1305,f647]) ).

fof(f1310,definition,
    ( spl0_166
  <=> c3_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1313,plain,
    ( spl0_44
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f451,f1310,f722]) ).

fof(f1315,definition,
    ( spl0_167
  <=> c2_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1317,plain,
    ( ~ c2_1(a618)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1315]) ).

fof(f1318,plain,
    ( spl0_44
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f450,f1315,f722]) ).

fof(f1320,definition,
    ( spl0_168
  <=> c1_1(a619) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1323,plain,
    ( spl0_57
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f449,f1320,f786]) ).

fof(f1335,definition,
    ( spl0_171
  <=> c0_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1337,plain,
    ( c0_1(a623)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1338,plain,
    ( ~ spl0_37
    | spl0_171 ),
    inference(avatar_split_clause,[],[f446,f1335,f692]) ).

fof(f1375,definition,
    ( spl0_179
  <=> c1_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1378,plain,
    ( spl0_67
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f440,f1375,f833]) ).

fof(f1380,definition,
    ( spl0_180
  <=> c2_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1383,plain,
    ( spl0_67
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f439,f1380,f833]) ).

fof(f1385,definition,
    ( spl0_181
  <=> c2_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1388,plain,
    ( spl0_66
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f438,f1385,f828]) ).

fof(f1395,definition,
    ( spl0_183
  <=> c2_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1397,plain,
    ( ~ c2_1(a653)
    | spl0_183 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f1398,plain,
    ( spl0_29
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f436,f1395,f658]) ).

fof(f1400,definition,
    ( spl0_184
  <=> c1_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1403,plain,
    ( spl0_40
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f435,f1400,f705]) ).

fof(f1405,definition,
    ( spl0_185
  <=> c0_1(a662) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1407,plain,
    ( c0_1(a662)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f1408,plain,
    ( spl0_20
    | spl0_185 ),
    inference(avatar_split_clause,[],[f434,f1405,f620]) ).

fof(f1410,definition,
    ( spl0_186
  <=> c1_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

fof(f1413,plain,
    ( ~ spl0_49
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f182,f1410,f750]) ).

fof(f1415,definition,
    ( spl0_187
  <=> c0_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

fof(f1417,plain,
    ( c0_1(a663)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1418,plain,
    ( ~ spl0_49
    | spl0_187 ),
    inference(avatar_split_clause,[],[f433,f1415,f750]) ).

fof(f1420,definition,
    ( spl0_188
  <=> hskp59 ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

fof(f1424,definition,
    ( spl0_189
  <=> c0_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1426,plain,
    ( c0_1(a665)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1424]) ).

fof(f1427,plain,
    ( ~ spl0_188
    | spl0_189 ),
    inference(avatar_split_clause,[],[f432,f1424,f1420]) ).

fof(f1429,definition,
    ( spl0_190
  <=> hskp60 ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1433,definition,
    ( spl0_191
  <=> c2_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

fof(f1435,plain,
    ( ~ c2_1(a669)
    | spl0_191 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f1436,plain,
    ( spl0_190
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f431,f1433,f1429]) ).

fof(f1438,definition,
    ( spl0_192
  <=> hskp61 ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

fof(f1447,definition,
    ( spl0_194
  <=> c1_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1450,plain,
    ( ~ spl0_192
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f177,f1447,f1438]) ).

fof(f1452,definition,
    ( spl0_195
  <=> c1_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).

fof(f1455,plain,
    ( spl0_79
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f429,f1452,f885]) ).

fof(f1457,definition,
    ( spl0_196
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

fof(f1459,plain,
    ( ~ c2_1(a672)
    | spl0_196 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1460,plain,
    ( spl0_78
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f428,f1457,f881]) ).

fof(f1467,definition,
    ( spl0_198
  <=> hskp64 ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1471,definition,
    ( spl0_199
  <=> c0_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

fof(f1473,plain,
    ( c0_1(a673)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1471]) ).

fof(f1474,plain,
    ( ~ spl0_198
    | spl0_199 ),
    inference(avatar_split_clause,[],[f426,f1471,f1467]) ).

fof(f1476,definition,
    ( spl0_200
  <=> hskp65 ),
    introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).

fof(f1480,definition,
    ( spl0_201
  <=> c1_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).

fof(f1483,plain,
    ( ~ spl0_200
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f172,f1480,f1476]) ).

fof(f1485,definition,
    ( spl0_202
  <=> hskp66 ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

fof(f1489,definition,
    ( spl0_203
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).

fof(f1491,plain,
    ( ~ c2_1(a675)
    | spl0_203 ),
    inference(avatar_component_clause,[],[f1489]) ).

fof(f1492,plain,
    ( ~ spl0_202
    | ~ spl0_203 ),
    inference(avatar_split_clause,[],[f171,f1489,f1485]) ).

fof(f1494,definition,
    ( spl0_204
  <=> c0_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).

fof(f1496,plain,
    ( ~ c0_1(a597)
    | spl0_204 ),
    inference(avatar_component_clause,[],[f1494]) ).

fof(f1497,plain,
    ( ~ spl0_204
    | spl0_77 ),
    inference(avatar_split_clause,[],[f425,f876,f1494]) ).

fof(f1499,definition,
    ( spl0_205
  <=> c2_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

fof(f1502,plain,
    ( spl0_205
    | spl0_76 ),
    inference(avatar_split_clause,[],[f424,f872,f1499]) ).

fof(f1504,definition,
    ( spl0_206
  <=> c0_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1506,plain,
    ( ~ c0_1(a598)
    | spl0_206 ),
    inference(avatar_component_clause,[],[f1504]) ).

fof(f1507,plain,
    ( ~ spl0_206
    | spl0_76 ),
    inference(avatar_split_clause,[],[f423,f872,f1504]) ).

fof(f1514,definition,
    ( spl0_208
  <=> c0_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1516,plain,
    ( ~ c0_1(a603)
    | spl0_208 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f1517,plain,
    ( ~ spl0_208
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f421,f809,f1514]) ).

fof(f1519,definition,
    ( spl0_209
  <=> c2_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1522,plain,
    ( spl0_209
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f165,f663,f1519]) ).

fof(f1524,definition,
    ( spl0_210
  <=> c2_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1526,plain,
    ( c2_1(a609)
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f1527,plain,
    ( spl0_210
    | spl0_60 ),
    inference(avatar_split_clause,[],[f420,f800,f1524]) ).

fof(f1529,definition,
    ( spl0_211
  <=> c1_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1532,plain,
    ( spl0_211
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f163,f795,f1529]) ).

fof(f1539,definition,
    ( spl0_213
  <=> c2_1(a613) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1541,plain,
    ( c2_1(a613)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1542,plain,
    ( spl0_213
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f161,f899,f1539]) ).

fof(f1544,definition,
    ( spl0_214
  <=> c1_1(a613) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1547,plain,
    ( spl0_214
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f160,f899,f1544]) ).

fof(f1559,definition,
    ( spl0_217
  <=> c1_1(a616) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1562,plain,
    ( spl0_217
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f157,f697,f1559]) ).

fof(f1564,definition,
    ( spl0_218
  <=> c0_1(a616) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1566,plain,
    ( ~ c0_1(a616)
    | spl0_218 ),
    inference(avatar_component_clause,[],[f1564]) ).

fof(f1567,plain,
    ( ~ spl0_218
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f416,f697,f1564]) ).

fof(f1569,definition,
    ( spl0_219
  <=> c3_1(a624) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1572,plain,
    ( spl0_219
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f155,f768,f1569]) ).

fof(f1574,definition,
    ( spl0_220
  <=> c0_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1576,plain,
    ( ~ c0_1(a627)
    | spl0_220 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f1577,plain,
    ( ~ spl0_220
    | spl0_33 ),
    inference(avatar_split_clause,[],[f415,f676,f1574]) ).

fof(f1579,definition,
    ( spl0_221
  <=> c2_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

fof(f1581,plain,
    ( c2_1(a627)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f1582,plain,
    ( spl0_221
    | spl0_33 ),
    inference(avatar_split_clause,[],[f414,f676,f1579]) ).

fof(f1584,definition,
    ( spl0_222
  <=> c3_1(a628) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1587,plain,
    ( spl0_222
    | spl0_65 ),
    inference(avatar_split_clause,[],[f413,f824,f1584]) ).

fof(f1589,definition,
    ( spl0_223
  <=> c3_1(a632) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1592,plain,
    ( spl0_223
    | spl0_121 ),
    inference(avatar_split_clause,[],[f412,f1091,f1589]) ).

fof(f1594,definition,
    ( spl0_224
  <=> c0_1(a632) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1596,plain,
    ( ~ c0_1(a632)
    | spl0_224 ),
    inference(avatar_component_clause,[],[f1594]) ).

fof(f1597,plain,
    ( ~ spl0_224
    | spl0_121 ),
    inference(avatar_split_clause,[],[f411,f1091,f1594]) ).

fof(f1614,definition,
    ( spl0_228
  <=> c3_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

fof(f1617,plain,
    ( spl0_228
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f146,f759,f1614]) ).

fof(f1619,definition,
    ( spl0_229
  <=> c2_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).

fof(f1622,plain,
    ( spl0_229
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f145,f759,f1619]) ).

fof(f1624,definition,
    ( spl0_230
  <=> c3_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).

fof(f1627,plain,
    ( spl0_230
    | spl0_50 ),
    inference(avatar_split_clause,[],[f408,f755,f1624]) ).

fof(f1629,definition,
    ( spl0_231
  <=> c3_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

fof(f1632,plain,
    ( spl0_231
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f143,f837,f1629]) ).

fof(f1634,definition,
    ( spl0_232
  <=> c3_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

fof(f1637,plain,
    ( spl0_232
    | spl0_63 ),
    inference(avatar_split_clause,[],[f407,f814,f1634]) ).

fof(f1644,definition,
    ( spl0_234
  <=> c0_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).

fof(f1646,plain,
    ( ~ c0_1(a666)
    | spl0_234 ),
    inference(avatar_component_clause,[],[f1644]) ).

fof(f1647,plain,
    ( ~ spl0_234
    | spl0_47 ),
    inference(avatar_split_clause,[],[f405,f741,f1644]) ).

fof(f1654,definition,
    ( spl0_236
  <=> c0_1(a677) ),
    introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).

fof(f1656,plain,
    ( ~ c0_1(a677)
    | spl0_236 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1657,plain,
    ( ~ spl0_236
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f404,f745,f1654]) ).

fof(f1659,definition,
    ( spl0_237
  <=> c3_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).

fof(f1662,plain,
    ( spl0_237
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f137,f1262,f1659]) ).

fof(f1664,definition,
    ( spl0_238
  <=> c0_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).

fof(f1666,plain,
    ( ~ c0_1(a599)
    | spl0_238 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f1667,plain,
    ( ~ spl0_238
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f403,f1262,f1664]) ).

fof(f1679,definition,
    ( spl0_241
  <=> c2_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1681,plain,
    ( c2_1(a602)
    | ~ spl0_241 ),
    inference(avatar_component_clause,[],[f1679]) ).

fof(f1682,plain,
    ( spl0_241
    | spl0_22 ),
    inference(avatar_split_clause,[],[f401,f628,f1679]) ).

fof(f1684,definition,
    ( spl0_242
  <=> c0_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1686,plain,
    ( ~ c0_1(a605)
    | spl0_242 ),
    inference(avatar_component_clause,[],[f1684]) ).

fof(f1687,plain,
    ( ~ spl0_242
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f400,f642,f1684]) ).

fof(f1689,definition,
    ( spl0_243
  <=> c1_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1692,plain,
    ( spl0_243
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f131,f642,f1689]) ).

fof(f1694,definition,
    ( spl0_244
  <=> c0_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1696,plain,
    ( ~ c0_1(a607)
    | spl0_244 ),
    inference(avatar_component_clause,[],[f1694]) ).

fof(f1697,plain,
    ( ~ spl0_244
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f399,f735,f1694]) ).

fof(f1699,definition,
    ( spl0_245
  <=> c1_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1702,plain,
    ( spl0_245
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f129,f735,f1699]) ).

fof(f1704,definition,
    ( spl0_246
  <=> c0_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

fof(f1706,plain,
    ( ~ c0_1(a608)
    | spl0_246 ),
    inference(avatar_component_clause,[],[f1704]) ).

fof(f1707,plain,
    ( ~ spl0_246
    | spl0_45 ),
    inference(avatar_split_clause,[],[f398,f727,f1704]) ).

fof(f1709,definition,
    ( spl0_247
  <=> c3_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

fof(f1712,plain,
    ( spl0_247
    | spl0_45 ),
    inference(avatar_split_clause,[],[f397,f727,f1709]) ).

fof(f1714,definition,
    ( spl0_248
  <=> c1_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

fof(f1717,plain,
    ( spl0_248
    | spl0_45 ),
    inference(avatar_split_clause,[],[f396,f727,f1714]) ).

fof(f1719,definition,
    ( spl0_249
  <=> c2_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

fof(f1721,plain,
    ( c2_1(a611)
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f1719]) ).

fof(f1722,plain,
    ( spl0_249
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f125,f791,f1719]) ).

fof(f1724,definition,
    ( spl0_250
  <=> c3_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

fof(f1727,plain,
    ( spl0_250
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f124,f791,f1724]) ).

fof(f1744,definition,
    ( spl0_254
  <=> c3_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).

fof(f1747,plain,
    ( spl0_254
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f120,f647,f1744]) ).

fof(f1749,definition,
    ( spl0_255
  <=> c2_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1751,plain,
    ( c2_1(a617)
    | ~ spl0_255 ),
    inference(avatar_component_clause,[],[f1749]) ).

fof(f1752,plain,
    ( spl0_255
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f119,f647,f1749]) ).

fof(f1754,definition,
    ( spl0_256
  <=> c1_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1757,plain,
    ( spl0_256
    | spl0_44 ),
    inference(avatar_split_clause,[],[f394,f722,f1754]) ).

fof(f1759,definition,
    ( spl0_257
  <=> c0_1(a619) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

fof(f1761,plain,
    ( ~ c0_1(a619)
    | spl0_257 ),
    inference(avatar_component_clause,[],[f1759]) ).

fof(f1762,plain,
    ( ~ spl0_257
    | spl0_57 ),
    inference(avatar_split_clause,[],[f393,f786,f1759]) ).

fof(f1764,definition,
    ( spl0_258
  <=> c3_1(a621) ),
    introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).

fof(f1767,plain,
    ( spl0_258
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f116,f777,f1764]) ).

fof(f1769,definition,
    ( spl0_259
  <=> c2_1(a621) ),
    introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).

fof(f1771,plain,
    ( c2_1(a621)
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f1769]) ).

fof(f1772,plain,
    ( spl0_259
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f115,f777,f1769]) ).

fof(f1774,definition,
    ( spl0_260
  <=> c2_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).

fof(f1776,plain,
    ( c2_1(a623)
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f1774]) ).

fof(f1777,plain,
    ( spl0_260
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f114,f692,f1774]) ).

fof(f1779,definition,
    ( spl0_261
  <=> c3_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).

fof(f1782,plain,
    ( spl0_261
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f113,f692,f1779]) ).

fof(f1784,definition,
    ( spl0_262
  <=> c3_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).

fof(f1787,plain,
    ( spl0_262
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f112,f684,f1784]) ).

fof(f1789,definition,
    ( spl0_263
  <=> c0_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1791,plain,
    ( ~ c0_1(a626)
    | spl0_263 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f1792,plain,
    ( ~ spl0_263
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f392,f684,f1789]) ).

fof(f1794,definition,
    ( spl0_264
  <=> c1_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f1797,plain,
    ( spl0_264
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f110,f684,f1794]) ).

fof(f1839,definition,
    ( spl0_273
  <=> c0_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).

fof(f1841,plain,
    ( ~ c0_1(a647)
    | spl0_273 ),
    inference(avatar_component_clause,[],[f1839]) ).

fof(f1842,plain,
    ( ~ spl0_273
    | spl0_67 ),
    inference(avatar_split_clause,[],[f386,f833,f1839]) ).

fof(f1844,definition,
    ( spl0_274
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).

fof(f1846,plain,
    ( ~ c0_1(a648)
    | spl0_274 ),
    inference(avatar_component_clause,[],[f1844]) ).

fof(f1847,plain,
    ( ~ spl0_274
    | spl0_66 ),
    inference(avatar_split_clause,[],[f385,f828,f1844]) ).

fof(f1849,definition,
    ( spl0_275
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

fof(f1852,plain,
    ( spl0_275
    | spl0_66 ),
    inference(avatar_split_clause,[],[f384,f828,f1849]) ).

fof(f1864,definition,
    ( spl0_278
  <=> c1_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).

fof(f1867,plain,
    ( spl0_278
    | spl0_29 ),
    inference(avatar_split_clause,[],[f381,f658,f1864]) ).

fof(f1869,definition,
    ( spl0_279
  <=> c3_1(a653) ),
    introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).

fof(f1871,plain,
    ( c3_1(a653)
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f1869]) ).

fof(f1872,plain,
    ( spl0_279
    | spl0_29 ),
    inference(avatar_split_clause,[],[f380,f658,f1869]) ).

fof(f1874,definition,
    ( spl0_280
  <=> c3_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).

fof(f1877,plain,
    ( spl0_280
    | spl0_40 ),
    inference(avatar_split_clause,[],[f379,f705,f1874]) ).

fof(f1879,definition,
    ( spl0_281
  <=> c2_1(a658) ),
    introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).

fof(f1881,plain,
    ( c2_1(a658)
    | ~ spl0_281 ),
    inference(avatar_component_clause,[],[f1879]) ).

fof(f1882,plain,
    ( spl0_281
    | spl0_40 ),
    inference(avatar_split_clause,[],[f378,f705,f1879]) ).

fof(f1884,definition,
    ( spl0_282
  <=> c2_1(a662) ),
    introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).

fof(f1887,plain,
    ( spl0_282
    | spl0_20 ),
    inference(avatar_split_clause,[],[f377,f620,f1884]) ).

fof(f1889,definition,
    ( spl0_283
  <=> c1_1(a662) ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

fof(f1892,plain,
    ( spl0_283
    | spl0_20 ),
    inference(avatar_split_clause,[],[f376,f620,f1889]) ).

fof(f1894,definition,
    ( spl0_284
  <=> c3_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).

fof(f1896,plain,
    ( c3_1(a663)
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f1894]) ).

fof(f1897,plain,
    ( spl0_284
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f90,f750,f1894]) ).

fof(f1899,definition,
    ( spl0_285
  <=> c3_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).

fof(f1902,plain,
    ( spl0_285
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f89,f1420,f1899]) ).

fof(f1904,definition,
    ( spl0_286
  <=> c2_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).

fof(f1906,plain,
    ( c2_1(a665)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f1904]) ).

fof(f1907,plain,
    ( spl0_286
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f88,f1420,f1904]) ).

fof(f1909,definition,
    ( spl0_287
  <=> c1_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).

fof(f1912,plain,
    ( spl0_287
    | spl0_190 ),
    inference(avatar_split_clause,[],[f375,f1429,f1909]) ).

fof(f1914,definition,
    ( spl0_288
  <=> c0_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).

fof(f1916,plain,
    ( ~ c0_1(a669)
    | spl0_288 ),
    inference(avatar_component_clause,[],[f1914]) ).

fof(f1917,plain,
    ( ~ spl0_288
    | spl0_190 ),
    inference(avatar_split_clause,[],[f374,f1429,f1914]) ).

fof(f1919,definition,
    ( spl0_289
  <=> c2_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).

fof(f1921,plain,
    ( c2_1(a670)
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f1919]) ).

fof(f1922,plain,
    ( spl0_289
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f85,f1438,f1919]) ).

fof(f1924,definition,
    ( spl0_290
  <=> c0_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).

fof(f1926,plain,
    ( ~ c0_1(a671)
    | spl0_290 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f1927,plain,
    ( ~ spl0_290
    | spl0_79 ),
    inference(avatar_split_clause,[],[f373,f885,f1924]) ).

fof(f1929,definition,
    ( spl0_291
  <=> c3_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).

fof(f1932,plain,
    ( spl0_291
    | spl0_79 ),
    inference(avatar_split_clause,[],[f372,f885,f1929]) ).

fof(f1934,definition,
    ( spl0_292
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).

fof(f1936,plain,
    ( c3_1(a672)
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f1934]) ).

fof(f1937,plain,
    ( spl0_292
    | spl0_78 ),
    inference(avatar_split_clause,[],[f371,f881,f1934]) ).

fof(f1939,definition,
    ( spl0_293
  <=> c1_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).

fof(f1942,plain,
    ( spl0_293
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f81,f1467,f1939]) ).

fof(f1944,definition,
    ( spl0_294
  <=> c3_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).

fof(f1947,plain,
    ( spl0_294
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f80,f1467,f1944]) ).

fof(f1949,definition,
    ( spl0_295
  <=> c0_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).

fof(f1951,plain,
    ( ~ c0_1(a674)
    | spl0_295 ),
    inference(avatar_component_clause,[],[f1949]) ).

fof(f1952,plain,
    ( ~ spl0_295
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f370,f1476,f1949]) ).

fof(f1954,definition,
    ( spl0_296
  <=> c2_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).

fof(f1957,plain,
    ( spl0_296
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f78,f1476,f1954]) ).

fof(f1959,definition,
    ( spl0_297
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).

fof(f1961,plain,
    ( c3_1(a675)
    | ~ spl0_297 ),
    inference(avatar_component_clause,[],[f1959]) ).

fof(f1962,plain,
    ( spl0_297
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f77,f1485,f1959]) ).

fof(f1964,definition,
    ( spl0_298
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).

fof(f1967,plain,
    ( spl0_298
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f76,f1485,f1964]) ).

fof(f1968,plain,
    ( spl0_202
    | spl0_200
    | spl0_198 ),
    inference(avatar_split_clause,[],[f75,f1467,f1476,f1485]) ).

fof(f1969,plain,
    ( spl0_192
    | ~ spl0_190
    | spl0_156 ),
    inference(avatar_split_clause,[],[f369,f1262,f1429,f1438]) ).

fof(f1971,plain,
    ( spl0_123
    | spl0_82
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f367,f1091,f899,f1100]) ).

fof(f1972,plain,
    ( spl0_82
    | ~ spl0_65
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f366,f676,f824,f899]) ).

fof(f1973,plain,
    ( spl0_25
    | ~ spl0_92
    | spl0_62 ),
    inference(avatar_split_clause,[],[f365,f809,f947,f642]) ).

fof(f2039,plain,
    ( spl0_3
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f4,f1467,f559]) ).

fof(f2040,plain,
    ( spl0_3
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f3,f1476,f559]) ).

fof(f2041,plain,
    ( spl0_3
    | ~ spl0_202 ),
    inference(avatar_split_clause,[],[f2,f1485,f559]) ).

fof(f2042,plain,
    ( ~ spl0_47
    | spl0_188 ),
    inference(avatar_split_clause,[],[f329,f1420,f741]) ).

fof(f2065,plain,
    ( c3_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_2
    | spl0_242 ),
    inference(resolution,[],[f557,f1686]) ).

fof(f2084,plain,
    ( c3_1(a603)
    | ~ c2_1(a603)
    | ~ spl0_2
    | spl0_208 ),
    inference(resolution,[],[f557,f1516]) ).

fof(f2095,definition,
    ( spl0_299
  <=> c2_1(a620) ),
    introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).

fof(f2110,definition,
    ( spl0_302
  <=> c2_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).

fof(f2112,plain,
    ( ~ c2_1(a597)
    | spl0_302 ),
    inference(avatar_component_clause,[],[f2110]) ).

fof(f2115,definition,
    ( spl0_303
  <=> c2_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).

fof(f2117,plain,
    ( ~ c2_1(a603)
    | spl0_303 ),
    inference(avatar_component_clause,[],[f2115]) ).

fof(f2118,plain,
    ( ~ spl0_303
    | spl0_90
    | ~ spl0_2
    | spl0_208 ),
    inference(avatar_split_clause,[],[f2084,f1514,f556,f937,f2115]) ).

fof(f2130,definition,
    ( spl0_306
  <=> c2_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).

fof(f2140,definition,
    ( spl0_308
  <=> c2_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).

fof(f2141,plain,
    ( c2_1(a605)
    | ~ spl0_308 ),
    inference(avatar_component_clause,[],[f2140]) ).

fof(f2143,plain,
    ( ~ spl0_308
    | spl0_162
    | ~ spl0_2
    | spl0_242 ),
    inference(avatar_split_clause,[],[f2065,f1684,f556,f1290,f2140]) ).

fof(f2145,definition,
    ( spl0_309
  <=> c2_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).

fof(f2150,definition,
    ( spl0_310
  <=> c2_1(a619) ),
    introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).

fof(f2155,definition,
    ( spl0_311
  <=> c2_1(a626) ),
    introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).

fof(f2157,plain,
    ( ~ c2_1(a626)
    | spl0_311 ),
    inference(avatar_component_clause,[],[f2155]) ).

fof(f2170,definition,
    ( spl0_314
  <=> c2_1(a663) ),
    introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).

fof(f2171,plain,
    ( c2_1(a663)
    | ~ spl0_314 ),
    inference(avatar_component_clause,[],[f2170]) ).

fof(f2172,plain,
    ( ~ c2_1(a663)
    | spl0_314 ),
    inference(avatar_component_clause,[],[f2170]) ).

fof(f2194,plain,
    ( ~ c2_1(a626)
    | ~ c3_1(a626)
    | ~ spl0_4
    | spl0_263 ),
    inference(resolution,[],[f564,f1791]) ).

fof(f2234,plain,
    ( c2_1(a669)
    | ~ c3_1(a669)
    | ~ spl0_5
    | spl0_288 ),
    inference(resolution,[],[f568,f1916]) ).

fof(f2239,plain,
    ( c2_1(a648)
    | ~ c3_1(a648)
    | ~ spl0_5
    | spl0_274 ),
    inference(resolution,[],[f568,f1846]) ).

fof(f2282,definition,
    ( spl0_316
  <=> c3_1(a622) ),
    introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).

fof(f2283,plain,
    ( c3_1(a622)
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f2282]) ).

fof(f2287,definition,
    ( spl0_317
  <=> c3_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).

fof(f2302,definition,
    ( spl0_320
  <=> c3_1(a610) ),
    introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).

fof(f2348,definition,
    ( spl0_329
  <=> c3_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).

fof(f2351,plain,
    ( ~ spl0_329
    | spl0_191
    | ~ spl0_5
    | spl0_288 ),
    inference(avatar_split_clause,[],[f2234,f1914,f567,f1433,f2348]) ).

fof(f2353,definition,
    ( spl0_330
  <=> c3_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).

fof(f2364,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f578,f557]) ).

fof(f2368,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f2364]) ).

fof(f2371,definition,
    ( spl0_332
  <=> c2_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).

fof(f2373,plain,
    ( ~ c2_1(a673)
    | spl0_332 ),
    inference(avatar_component_clause,[],[f2371]) ).

fof(f2375,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2368,f577,f556,f573]) ).

fof(f2377,plain,
    ( c3_1(a613)
    | ~ c1_1(a613)
    | ~ spl0_7
    | ~ spl0_213 ),
    inference(resolution,[],[f574,f1541]) ).

fof(f2443,plain,
    ( c1_1(a647)
    | c2_1(a647)
    | ~ spl0_13
    | spl0_273 ),
    inference(resolution,[],[f595,f1841]) ).

fof(f2451,plain,
    ( c1_1(a619)
    | c2_1(a619)
    | ~ spl0_13
    | spl0_257 ),
    inference(resolution,[],[f595,f1761]) ).

fof(f2457,plain,
    ( c1_1(a677)
    | c2_1(a677)
    | ~ spl0_13
    | spl0_236 ),
    inference(resolution,[],[f595,f1656]) ).

fof(f2459,plain,
    ( c1_1(a666)
    | c2_1(a666)
    | ~ spl0_13
    | spl0_234 ),
    inference(resolution,[],[f595,f1646]) ).

fof(f2473,plain,
    ( c1_1(a603)
    | c2_1(a603)
    | ~ spl0_13
    | spl0_208 ),
    inference(resolution,[],[f595,f1516]) ).

fof(f2476,plain,
    ( c1_1(a597)
    | c2_1(a597)
    | ~ spl0_13
    | spl0_204 ),
    inference(resolution,[],[f595,f1496]) ).

fof(f2515,definition,
    ( spl0_337
  <=> c1_1(a627) ),
    introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).

fof(f2535,definition,
    ( spl0_340
  <=> c1_1(a666) ),
    introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).

fof(f2541,definition,
    ( spl0_341
  <=> c1_1(a677) ),
    introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).

fof(f2556,definition,
    ( spl0_343
  <=> c1_1(a621) ),
    introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).

fof(f2561,definition,
    ( spl0_344
  <=> c1_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).

fof(f2588,definition,
    ( spl0_348
  <=> c1_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).

fof(f2595,definition,
    ( spl0_349
  <=> c1_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).

fof(f2600,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f607,f591]) ).

fof(f2606,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f2600]) ).

fof(f2608,plain,
    ( spl0_19
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2606,f606,f590,f616]) ).

fof(f2622,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(resolution,[],[f610,f591]) ).

fof(f2623,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f610,f568]) ).

fof(f2624,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(resolution,[],[f610,f564]) ).

fof(f2628,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f2624]) ).

fof(f2629,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f2623]) ).

fof(f2630,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f2622]) ).

fof(f2636,plain,
    ( spl0_11
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2629,f609,f567,f587]) ).

fof(f2637,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f588,f584]) ).

fof(f2676,plain,
    ( ~ c3_1(a652)
    | c1_1(a652)
    | ~ spl0_11
    | spl0_138 ),
    inference(resolution,[],[f588,f1176]) ).

fof(f2683,plain,
    ( ~ c3_1(a628)
    | c1_1(a628)
    | ~ spl0_11
    | spl0_120 ),
    inference(resolution,[],[f588,f1088]) ).

fof(f2685,plain,
    ( ~ c3_1(a624)
    | c1_1(a624)
    | ~ spl0_11
    | spl0_113 ),
    inference(resolution,[],[f588,f1053]) ).

fof(f2703,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f2637]) ).

fof(f2740,plain,
    ( c1_1(a632)
    | ~ c3_1(a632)
    | ~ spl0_15
    | spl0_224 ),
    inference(resolution,[],[f603,f1596]) ).

fof(f2757,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(resolution,[],[f614,f603]) ).

fof(f2759,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f614,f568]) ).

fof(f2764,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f2759]) ).

fof(f2766,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f2757]) ).

fof(f2767,plain,
    ( spl0_11
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f2764,f613,f567,f587]) ).

fof(f2768,plain,
    ( spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f2766,f613,f602,f587]) ).

fof(f2786,plain,
    ( spl0_139
    | ~ spl0_232
    | ~ spl0_11
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2676,f1174,f587,f1634,f1179]) ).

fof(f2787,plain,
    ( spl0_119
    | ~ spl0_222
    | ~ spl0_11
    | spl0_120 ),
    inference(avatar_split_clause,[],[f2683,f1086,f587,f1584,f1081]) ).

fof(f2788,plain,
    ( spl0_10
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2628,f609,f563,f583]) ).

fof(f2789,plain,
    ( spl0_10
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2630,f609,f590,f583]) ).

fof(f2790,plain,
    ( c3_1(a625)
    | c2_1(a625)
    | ~ spl0_14
    | ~ spl0_115 ),
    inference(resolution,[],[f1063,f599]) ).

fof(f2792,plain,
    ( spl0_114
    | ~ spl0_219
    | ~ spl0_11
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2685,f1051,f587,f1569,f1056]) ).

fof(f2862,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f571,f603]) ).

fof(f2864,plain,
    ( ~ c2_1(a673)
    | ~ c3_1(a673)
    | ~ spl0_6
    | ~ spl0_199 ),
    inference(resolution,[],[f571,f1473]) ).

fof(f2869,plain,
    ( ~ c2_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(resolution,[],[f571,f1151]) ).

fof(f2872,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f2862]) ).

fof(f2875,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(resolution,[],[f581,f557]) ).

fof(f2886,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f2875]) ).

fof(f2888,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2886,f580,f556,f616]) ).

fof(f2956,plain,
    ( ~ c3_1(a663)
    | c1_1(a663)
    | ~ spl0_11
    | spl0_314 ),
    inference(resolution,[],[f588,f2172]) ).

fof(f3006,plain,
    ( ~ c3_1(a625)
    | c1_1(a625)
    | ~ spl0_11
    | spl0_117 ),
    inference(resolution,[],[f588,f1073]) ).

fof(f3011,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(resolution,[],[f591,f581]) ).

fof(f3060,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f3011]) ).

fof(f3072,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(resolution,[],[f610,f603]) ).

fof(f3081,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f3072]) ).

fof(f3135,plain,
    ( ~ c3_1(a621)
    | ~ c1_1(a621)
    | ~ spl0_24
    | ~ spl0_259 ),
    inference(resolution,[],[f639,f1771]) ).

fof(f3143,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(resolution,[],[f652,f599]) ).

fof(f3163,plain,
    ( c2_1(a608)
    | ~ c1_1(a608)
    | ~ spl0_27
    | spl0_246 ),
    inference(resolution,[],[f652,f1706]) ).

fof(f3164,plain,
    ( c2_1(a607)
    | ~ c1_1(a607)
    | ~ spl0_27
    | spl0_244 ),
    inference(resolution,[],[f652,f1696]) ).

fof(f3165,plain,
    ( c2_1(a605)
    | ~ c1_1(a605)
    | ~ spl0_27
    | spl0_242 ),
    inference(resolution,[],[f652,f1686]) ).

fof(f3176,plain,
    ( c2_1(a616)
    | ~ c1_1(a616)
    | ~ spl0_27
    | spl0_218 ),
    inference(resolution,[],[f652,f1566]) ).

fof(f3191,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f3143]) ).

fof(f3192,plain,
    ( ~ spl0_245
    | spl0_163
    | ~ spl0_27
    | spl0_244 ),
    inference(avatar_split_clause,[],[f3164,f1694,f651,f1295,f1699]) ).

fof(f3216,plain,
    ( c1_1(a663)
    | ~ c3_1(a663)
    | ~ spl0_17
    | ~ spl0_187 ),
    inference(resolution,[],[f1417,f610]) ).

fof(f3258,plain,
    ( ~ spl0_243
    | spl0_308
    | ~ spl0_27
    | spl0_242 ),
    inference(avatar_split_clause,[],[f3165,f1684,f651,f2140,f1689]) ).

fof(f3263,plain,
    ( c1_1(a609)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_210 ),
    inference(resolution,[],[f1526,f3060]) ).

fof(f3265,plain,
    ( spl0_98
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f3263,f1524,f590,f580,f976]) ).

fof(f3284,plain,
    ( spl0_117
    | spl0_317
    | ~ spl0_14
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2790,f1061,f598,f2287,f1071]) ).

fof(f3288,plain,
    ( spl0_116
    | ~ spl0_317
    | ~ spl0_11
    | spl0_117 ),
    inference(avatar_split_clause,[],[f3006,f1071,f587,f2287,f1066]) ).

fof(f3290,plain,
    ( spl0_10
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2872,f602,f570,f583]) ).

fof(f3293,plain,
    ( spl0_186
    | ~ spl0_284
    | ~ spl0_11
    | spl0_314 ),
    inference(avatar_split_clause,[],[f2956,f2170,f587,f1894,f1410]) ).

fof(f3348,plain,
    ( c1_1(a663)
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_284 ),
    inference(resolution,[],[f2703,f1896]) ).

fof(f3354,plain,
    ( c1_1(a622)
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_316 ),
    inference(resolution,[],[f2703,f2283]) ).

fof(f3357,plain,
    ( c1_1(a670)
    | ~ c3_1(a670)
    | ~ spl0_10
    | ~ spl0_289 ),
    inference(resolution,[],[f584,f1921]) ).

fof(f3384,plain,
    ( c1_1(a619)
    | ~ c2_1(a619)
    | ~ spl0_12
    | spl0_257 ),
    inference(resolution,[],[f591,f1761]) ).

fof(f3400,plain,
    ( c1_1(a603)
    | ~ c2_1(a603)
    | ~ spl0_12
    | spl0_208 ),
    inference(resolution,[],[f591,f1516]) ).

fof(f3402,plain,
    ( c1_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_12
    | spl0_206 ),
    inference(resolution,[],[f591,f1506]) ).

fof(f3403,plain,
    ( c1_1(a597)
    | ~ c2_1(a597)
    | ~ spl0_12
    | spl0_204 ),
    inference(resolution,[],[f591,f1496]) ).

fof(f3425,plain,
    ( c3_1(a625)
    | c1_1(a625)
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(resolution,[],[f607,f1063]) ).

fof(f3426,plain,
    ( c3_1(a622)
    | c1_1(a622)
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(resolution,[],[f607,f1038]) ).

fof(f3432,plain,
    ( c3_1(a670)
    | c1_1(a670)
    | ~ spl0_19
    | ~ spl0_289 ),
    inference(resolution,[],[f617,f1921]) ).

fof(f3436,plain,
    ( c3_1(a602)
    | c1_1(a602)
    | ~ spl0_19
    | ~ spl0_241 ),
    inference(resolution,[],[f617,f1681]) ).

fof(f3459,plain,
    ( c2_1(a643)
    | c1_1(a643)
    | ~ spl0_18
    | ~ spl0_135 ),
    inference(resolution,[],[f614,f1161]) ).

fof(f3482,plain,
    ( ~ c3_1(a626)
    | ~ c1_1(a626)
    | ~ spl0_21
    | spl0_263 ),
    inference(resolution,[],[f625,f1791]) ).

fof(f3510,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(resolution,[],[f681,f568]) ).

fof(f3516,plain,
    ( ~ c3_1(a663)
    | c2_1(a663)
    | ~ spl0_34
    | ~ spl0_187 ),
    inference(resolution,[],[f681,f1417]) ).

fof(f3529,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f3510]) ).

fof(f3534,plain,
    ( spl0_314
    | ~ spl0_284
    | ~ spl0_34
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f3516,f1415,f680,f1894,f2170]) ).

fof(f3585,plain,
    ( c3_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_36
    | spl0_191 ),
    inference(resolution,[],[f689,f1435]) ).

fof(f3602,plain,
    ( c3_1(a618)
    | ~ c1_1(a618)
    | ~ spl0_36
    | spl0_167 ),
    inference(resolution,[],[f689,f1317]) ).

fof(f3609,plain,
    ( c3_1(a677)
    | ~ c1_1(a677)
    | ~ spl0_36
    | spl0_154 ),
    inference(resolution,[],[f689,f1254]) ).

fof(f3611,plain,
    ( c3_1(a666)
    | ~ c1_1(a666)
    | ~ spl0_36
    | spl0_151 ),
    inference(resolution,[],[f689,f1239]) ).

fof(f3636,plain,
    ( ~ spl0_256
    | spl0_166
    | ~ spl0_36
    | spl0_167 ),
    inference(avatar_split_clause,[],[f3602,f1315,f688,f1310,f1754]) ).

fof(f3670,plain,
    ( c3_1(a666)
    | c1_1(a666)
    | ~ spl0_39
    | spl0_151 ),
    inference(resolution,[],[f702,f1239]) ).

fof(f3684,plain,
    ( c3_1(a603)
    | c1_1(a603)
    | ~ spl0_39
    | spl0_303 ),
    inference(resolution,[],[f702,f2117]) ).

fof(f3687,plain,
    ( c3_1(a597)
    | c1_1(a597)
    | ~ spl0_39
    | spl0_302 ),
    inference(resolution,[],[f702,f2112]) ).

fof(f3689,plain,
    ( c3_1(a635)
    | c1_1(a635)
    | ~ spl0_39
    | spl0_128 ),
    inference(resolution,[],[f702,f1126]) ).

fof(f3701,plain,
    ( spl0_84
    | spl0_85
    | ~ spl0_39
    | spl0_302 ),
    inference(avatar_split_clause,[],[f3687,f2110,f701,f913,f908]) ).

fof(f3704,plain,
    ( spl0_91
    | spl0_90
    | ~ spl0_39
    | spl0_303 ),
    inference(avatar_split_clause,[],[f3684,f2115,f701,f937,f942]) ).

fof(f3744,plain,
    ( ~ spl0_217
    | spl0_106
    | ~ spl0_27
    | spl0_218 ),
    inference(avatar_split_clause,[],[f3176,f1564,f651,f1016,f1559]) ).

fof(f3771,plain,
    ( spl0_180
    | spl0_179
    | ~ spl0_13
    | spl0_273 ),
    inference(avatar_split_clause,[],[f2443,f1839,f594,f1375,f1380]) ).

fof(f3776,plain,
    ( spl0_310
    | spl0_168
    | ~ spl0_13
    | spl0_257 ),
    inference(avatar_split_clause,[],[f2451,f1759,f594,f1320,f2150]) ).

fof(f3779,plain,
    ( spl0_154
    | spl0_341
    | ~ spl0_13
    | spl0_236 ),
    inference(avatar_split_clause,[],[f2457,f1654,f594,f2541,f1252]) ).

fof(f3786,plain,
    ( spl0_303
    | spl0_91
    | ~ spl0_13
    | spl0_208 ),
    inference(avatar_split_clause,[],[f2473,f1514,f594,f942,f2115]) ).

fof(f3788,plain,
    ( spl0_302
    | spl0_84
    | ~ spl0_13
    | spl0_204 ),
    inference(avatar_split_clause,[],[f2476,f1494,f594,f908,f2110]) ).

fof(f3811,plain,
    ( ~ spl0_303
    | spl0_91
    | ~ spl0_12
    | spl0_208 ),
    inference(avatar_split_clause,[],[f3400,f1514,f590,f942,f2115]) ).

fof(f3814,plain,
    ( ~ spl0_302
    | spl0_84
    | ~ spl0_12
    | spl0_204 ),
    inference(avatar_split_clause,[],[f3403,f1494,f590,f908,f2110]) ).

fof(f3861,plain,
    ( spl0_112
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f3354,f2282,f587,f583,f1046]) ).

fof(f3872,plain,
    ( spl0_340
    | spl0_150
    | ~ spl0_39
    | spl0_151 ),
    inference(avatar_split_clause,[],[f3670,f1237,f701,f1232,f2535]) ).

fof(f3877,plain,
    ( spl0_129
    | spl0_127
    | ~ spl0_39
    | spl0_128 ),
    inference(avatar_split_clause,[],[f3689,f1124,f701,f1119,f1129]) ).

fof(f3892,plain,
    ( c3_1(a604)
    | c2_1(a604)
    | ~ spl0_14
    | ~ spl0_94 ),
    inference(resolution,[],[f958,f599]) ).

fof(f3897,plain,
    ( c3_1(a610)
    | c2_1(a610)
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(resolution,[],[f988,f599]) ).

fof(f3903,plain,
    ( c3_1(a620)
    | c2_1(a620)
    | ~ spl0_14
    | ~ spl0_109 ),
    inference(resolution,[],[f1033,f599]) ).

fof(f3995,plain,
    ( c1_1(a611)
    | ~ c3_1(a611)
    | ~ spl0_10
    | ~ spl0_249 ),
    inference(resolution,[],[f1721,f584]) ).

fof(f4001,plain,
    ( c1_1(a617)
    | ~ c3_1(a617)
    | ~ spl0_10
    | ~ spl0_255 ),
    inference(resolution,[],[f1751,f584]) ).

fof(f4002,plain,
    ( c1_1(a621)
    | ~ c3_1(a621)
    | ~ spl0_10
    | ~ spl0_259 ),
    inference(resolution,[],[f1771,f584]) ).

fof(f4003,plain,
    ( c1_1(a623)
    | ~ c3_1(a623)
    | ~ spl0_10
    | ~ spl0_260 ),
    inference(resolution,[],[f1776,f584]) ).

fof(f4020,plain,
    ( c1_1(a665)
    | ~ c3_1(a665)
    | ~ spl0_10
    | ~ spl0_286 ),
    inference(resolution,[],[f1906,f584]) ).

fof(f4022,plain,
    ( c2_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_27
    | spl0_288 ),
    inference(resolution,[],[f1916,f652]) ).

fof(f4054,plain,
    ( c1_1(a663)
    | ~ c3_1(a663)
    | ~ spl0_10
    | ~ spl0_314 ),
    inference(resolution,[],[f2171,f584]) ).

fof(f4077,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f571,f564]) ).

fof(f4084,plain,
    ( ~ c2_1(a663)
    | ~ c3_1(a663)
    | ~ spl0_6
    | ~ spl0_187 ),
    inference(resolution,[],[f571,f1417]) ).

fof(f4102,plain,
    ( ~ c2_1(a643)
    | ~ c3_1(a643)
    | ~ spl0_6
    | ~ spl0_135 ),
    inference(resolution,[],[f571,f1161]) ).

fof(f4122,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f4077]) ).

fof(f4125,plain,
    ( ~ spl0_230
    | ~ spl0_306
    | ~ spl0_6
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f4102,f1159,f570,f2130,f1624]) ).

fof(f4127,plain,
    ( ~ spl0_284
    | ~ spl0_314
    | ~ spl0_6
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f4084,f1415,f570,f2170,f1894]) ).

fof(f4133,plain,
    ( ~ c3_1(a653)
    | ~ spl0_5
    | ~ spl0_34
    | spl0_183 ),
    inference(resolution,[],[f3529,f1397]) ).

fof(f4155,plain,
    ( ~ spl0_279
    | ~ spl0_5
    | ~ spl0_34
    | spl0_183 ),
    inference(avatar_split_clause,[],[f4133,f1395,f680,f567,f1869]) ).

fof(f4159,plain,
    ( spl0_186
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f3348,f1894,f587,f583,f1410]) ).

fof(f4177,plain,
    ( c1_1(a658)
    | ~ c3_1(a658)
    | ~ spl0_10
    | ~ spl0_281 ),
    inference(resolution,[],[f1881,f584]) ).

fof(f4232,plain,
    ( c3_1(a605)
    | ~ c1_1(a605)
    | ~ spl0_7
    | ~ spl0_308 ),
    inference(resolution,[],[f574,f2141]) ).

fof(f4248,plain,
    ( c3_1(a627)
    | ~ c1_1(a627)
    | ~ spl0_7
    | ~ spl0_221 ),
    inference(resolution,[],[f574,f1581]) ).

fof(f4313,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_14
    | ~ spl0_32 ),
    inference(resolution,[],[f673,f599]) ).

fof(f4315,plain,
    ( c2_1(a669)
    | c3_1(a669)
    | ~ spl0_32
    | spl0_288 ),
    inference(resolution,[],[f673,f1916]) ).

fof(f4319,plain,
    ( c2_1(a605)
    | c3_1(a605)
    | ~ spl0_32
    | spl0_242 ),
    inference(resolution,[],[f673,f1686]) ).

fof(f4325,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_14
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f4313]) ).

fof(f4387,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(resolution,[],[f711,f591]) ).

fof(f4420,plain,
    ( ~ c2_1(a606)
    | c3_1(a606)
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(resolution,[],[f711,f973]) ).

fof(f4429,plain,
    ( ~ c2_1(a620)
    | c3_1(a620)
    | ~ spl0_41
    | ~ spl0_109 ),
    inference(resolution,[],[f711,f1033]) ).

fof(f4431,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f4387]) ).

fof(f4464,plain,
    ( spl0_19
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f4431,f710,f590,f616]) ).

fof(f4479,plain,
    ( spl0_116
    | spl0_317
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3425,f1061,f606,f2287,f1066]) ).

fof(f4494,plain,
    ( ~ spl0_330
    | spl0_194
    | ~ spl0_10
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f3357,f1919,f583,f1447,f2353]) ).

fof(f4499,plain,
    ( ~ spl0_258
    | spl0_343
    | ~ spl0_10
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f4002,f1769,f583,f2556,f1764]) ).

fof(f4544,plain,
    ( ~ spl0_310
    | spl0_168
    | ~ spl0_12
    | spl0_257 ),
    inference(avatar_split_clause,[],[f3384,f1759,f590,f1320,f2150]) ).

fof(f4550,plain,
    ( ~ spl0_205
    | spl0_86
    | ~ spl0_12
    | spl0_206 ),
    inference(avatar_split_clause,[],[f3402,f1504,f590,f918,f1499]) ).

fof(f4558,plain,
    ( spl0_160
    | spl0_161
    | ~ spl0_19
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f3436,f1679,f616,f1285,f1280]) ).

fof(f4596,plain,
    ( ~ spl0_243
    | spl0_162
    | ~ spl0_7
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f4232,f2140,f573,f1290,f1689]) ).

fof(f4600,plain,
    ( ~ spl0_337
    | spl0_118
    | ~ spl0_7
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f4248,f1579,f573,f1076,f2515]) ).

fof(f4612,plain,
    ( spl0_134
    | spl0_306
    | ~ spl0_18
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3459,f1159,f613,f2130,f1154]) ).

fof(f4637,plain,
    ( ~ spl0_262
    | ~ spl0_311
    | ~ spl0_4
    | spl0_263 ),
    inference(avatar_split_clause,[],[f2194,f1789,f563,f2155,f1784]) ).

fof(f4639,plain,
    ( ~ spl0_264
    | ~ spl0_262
    | ~ spl0_21
    | spl0_263 ),
    inference(avatar_split_clause,[],[f3482,f1789,f624,f1784,f1794]) ).

fof(f4640,plain,
    ( ~ spl0_261
    | spl0_344
    | ~ spl0_10
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f4003,f1774,f583,f2561,f1779]) ).

fof(f4645,plain,
    ( ~ spl0_254
    | spl0_165
    | ~ spl0_10
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f4001,f1749,f583,f1305,f1744]) ).

fof(f4673,plain,
    ( ~ c1_1(a610)
    | ~ c3_1(a610)
    | ~ spl0_28
    | spl0_101 ),
    inference(resolution,[],[f993,f655]) ).

fof(f4735,plain,
    ( c2_1(a599)
    | ~ c3_1(a599)
    | ~ spl0_5
    | spl0_238 ),
    inference(resolution,[],[f568,f1666]) ).

fof(f4781,plain,
    ( c3_1(a604)
    | ~ spl0_14
    | ~ spl0_32
    | spl0_95 ),
    inference(resolution,[],[f4325,f963]) ).

fof(f4782,plain,
    ( spl0_93
    | ~ spl0_14
    | ~ spl0_32
    | spl0_95 ),
    inference(avatar_split_clause,[],[f4781,f961,f672,f598,f951]) ).

fof(f4789,plain,
    ( spl0_36
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f3191,f651,f598,f688]) ).

fof(f4791,plain,
    ( spl0_95
    | spl0_93
    | ~ spl0_14
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f3892,f956,f598,f951,f961]) ).

fof(f4795,plain,
    ( ~ spl0_341
    | spl0_155
    | ~ spl0_36
    | spl0_154 ),
    inference(avatar_split_clause,[],[f3609,f1252,f688,f1257,f2541]) ).

fof(f4796,plain,
    ( ~ spl0_340
    | spl0_150
    | ~ spl0_36
    | spl0_151 ),
    inference(avatar_split_clause,[],[f3611,f1237,f688,f1232,f2535]) ).

fof(f4816,plain,
    ( ~ c2_1(a665)
    | ~ c1_1(a665)
    | ~ spl0_8
    | ~ spl0_189 ),
    inference(resolution,[],[f578,f1426]) ).

fof(f4818,plain,
    ( ~ c2_1(a662)
    | ~ c1_1(a662)
    | ~ spl0_8
    | ~ spl0_185 ),
    inference(resolution,[],[f578,f1407]) ).

fof(f4867,plain,
    ( ~ spl0_228
    | ~ spl0_229
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2869,f1149,f570,f1619,f1614]) ).

fof(f4886,plain,
    ( ~ spl0_283
    | ~ spl0_282
    | ~ spl0_8
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f4818,f1405,f577,f1884,f1889]) ).

fof(f4926,plain,
    ( ~ spl0_250
    | spl0_164
    | ~ spl0_10
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f3995,f1719,f583,f1300,f1724]) ).

fof(f4927,plain,
    ( ~ spl0_285
    | spl0_348
    | ~ spl0_10
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f4020,f1904,f583,f2588,f1899]) ).

fof(f4928,plain,
    ( ~ spl0_284
    | spl0_186
    | ~ spl0_10
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f4054,f2170,f583,f1410,f1894]) ).

fof(f4932,plain,
    ( ~ spl0_280
    | spl0_184
    | ~ spl0_10
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f4177,f1879,f583,f1400,f1874]) ).

fof(f4944,plain,
    ( spl0_112
    | spl0_316
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3426,f1036,f606,f2282,f1046]) ).

fof(f4964,plain,
    ( ~ spl0_275
    | spl0_181
    | ~ spl0_5
    | spl0_274 ),
    inference(avatar_split_clause,[],[f2239,f1844,f567,f1385,f1849]) ).

fof(f4974,plain,
    ( spl0_151
    | spl0_340
    | ~ spl0_13
    | spl0_234 ),
    inference(avatar_split_clause,[],[f2459,f1644,f594,f2535,f1237]) ).

fof(f4980,plain,
    ( spl0_101
    | spl0_320
    | ~ spl0_14
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3897,f986,f598,f2302,f991]) ).

fof(f4981,plain,
    ( spl0_299
    | spl0_108
    | ~ spl0_14
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3903,f1031,f598,f1026,f2095]) ).

fof(f4986,plain,
    ( spl0_108
    | ~ spl0_299
    | ~ spl0_41
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f4429,f1031,f710,f2095,f1026]) ).

fof(f4996,plain,
    ( spl0_96
    | ~ spl0_209
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f4420,f971,f710,f1519,f966]) ).

fof(f5002,plain,
    ( ~ spl0_320
    | ~ spl0_211
    | ~ spl0_28
    | spl0_101 ),
    inference(avatar_split_clause,[],[f4673,f991,f654,f1529,f2302]) ).

fof(f5028,plain,
    ( ~ spl0_287
    | spl0_329
    | ~ spl0_36
    | spl0_191 ),
    inference(avatar_split_clause,[],[f3585,f1433,f688,f2348,f1909]) ).

fof(f5059,plain,
    ( ~ c2_1(a608)
    | ~ c3_1(a608)
    | ~ spl0_4
    | spl0_246 ),
    inference(resolution,[],[f1706,f564]) ).

fof(f5138,plain,
    ( c1_1(a674)
    | ~ c2_1(a674)
    | ~ spl0_12
    | spl0_295 ),
    inference(resolution,[],[f591,f1951]) ).

fof(f5160,plain,
    ( c1_1(a672)
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_292 ),
    inference(resolution,[],[f3081,f1936]) ).

fof(f5217,plain,
    ( ~ c3_1(a646)
    | ~ spl0_5
    | ~ spl0_34
    | spl0_137 ),
    inference(resolution,[],[f3529,f1171]) ).

fof(f5231,plain,
    ( ~ spl0_231
    | ~ spl0_5
    | ~ spl0_34
    | spl0_137 ),
    inference(avatar_split_clause,[],[f5217,f1169,f680,f567,f1629]) ).

fof(f5235,plain,
    ( spl0_329
    | spl0_191
    | ~ spl0_32
    | spl0_288 ),
    inference(avatar_split_clause,[],[f4315,f1914,f672,f1433,f2348]) ).

fof(f5237,plain,
    ( spl0_162
    | spl0_308
    | ~ spl0_32
    | spl0_242 ),
    inference(avatar_split_clause,[],[f4319,f1684,f672,f2140,f1290]) ).

fof(f5238,plain,
    ( ~ spl0_294
    | ~ spl0_332
    | ~ spl0_6
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2864,f1471,f570,f2371,f1944]) ).

fof(f5245,plain,
    ( ~ spl0_348
    | ~ spl0_286
    | ~ spl0_8
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f4816,f1424,f577,f1904,f2588]) ).

fof(f5259,plain,
    ( ~ spl0_343
    | ~ spl0_258
    | ~ spl0_24
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f3135,f1769,f638,f1764,f2556]) ).

fof(f5296,plain,
    ( c1_1(a627)
    | ~ c2_1(a627)
    | ~ spl0_12
    | spl0_220 ),
    inference(resolution,[],[f1576,f591]) ).

fof(f5349,plain,
    ( ~ c3_1(a658)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_281 ),
    inference(resolution,[],[f4122,f1881]) ).

fof(f5361,plain,
    ( ~ c3_1(a617)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_255 ),
    inference(resolution,[],[f4122,f1751]) ).

fof(f5386,plain,
    ( ~ spl0_254
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f5361,f1749,f570,f563,f1744]) ).

fof(f5388,plain,
    ( ~ spl0_280
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f5349,f1879,f570,f563,f1874]) ).

fof(f5438,plain,
    ( ~ c2_1(a623)
    | ~ c1_1(a623)
    | ~ spl0_8
    | ~ spl0_171 ),
    inference(resolution,[],[f578,f1337]) ).

fof(f5551,plain,
    ( c3_1(a660)
    | c1_1(a660)
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(resolution,[],[f607,f1219]) ).

fof(f5558,plain,
    ( spl0_149
    | spl0_148
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f5551,f1217,f606,f1222,f1227]) ).

fof(f5597,plain,
    ( spl0_349
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f5160,f1934,f609,f602,f2595]) ).

fof(f5628,plain,
    ( c1_1(a671)
    | ~ c3_1(a671)
    | ~ spl0_15
    | spl0_290 ),
    inference(resolution,[],[f1926,f603]) ).

fof(f5681,plain,
    ( c3_1(a627)
    | c1_1(a627)
    | ~ spl0_19
    | ~ spl0_221 ),
    inference(resolution,[],[f617,f1581]) ).

fof(f5716,plain,
    ( ~ c3_1(a608)
    | ~ c1_1(a608)
    | ~ spl0_21
    | spl0_246 ),
    inference(resolution,[],[f625,f1706]) ).

fof(f5739,plain,
    ( ~ c1_1(a675)
    | ~ c3_1(a675)
    | ~ spl0_28
    | spl0_203 ),
    inference(resolution,[],[f655,f1491]) ).

fof(f5740,plain,
    ( ~ c1_1(a673)
    | ~ c3_1(a673)
    | ~ spl0_28
    | spl0_332 ),
    inference(resolution,[],[f655,f2373]) ).

fof(f5741,plain,
    ( ~ c1_1(a672)
    | ~ c3_1(a672)
    | ~ spl0_28
    | spl0_196 ),
    inference(resolution,[],[f655,f1459]) ).

fof(f5747,plain,
    ( ~ c1_1(a653)
    | ~ c3_1(a653)
    | ~ spl0_28
    | spl0_183 ),
    inference(resolution,[],[f655,f1397]) ).

fof(f5752,plain,
    ( ~ c1_1(a626)
    | ~ c3_1(a626)
    | ~ spl0_28
    | spl0_311 ),
    inference(resolution,[],[f655,f2157]) ).

fof(f5788,plain,
    ( ~ spl0_262
    | ~ spl0_264
    | ~ spl0_28
    | spl0_311 ),
    inference(avatar_split_clause,[],[f5752,f2155,f654,f1794,f1784]) ).

fof(f5792,plain,
    ( ~ spl0_279
    | ~ spl0_278
    | ~ spl0_28
    | spl0_183 ),
    inference(avatar_split_clause,[],[f5747,f1395,f654,f1864,f1869]) ).

fof(f5795,plain,
    ( ~ spl0_292
    | ~ spl0_349
    | ~ spl0_28
    | spl0_196 ),
    inference(avatar_split_clause,[],[f5741,f1457,f654,f2595,f1934]) ).

fof(f5796,plain,
    ( ~ spl0_294
    | ~ spl0_293
    | ~ spl0_28
    | spl0_332 ),
    inference(avatar_split_clause,[],[f5740,f2371,f654,f1939,f1944]) ).

fof(f5829,plain,
    ( ~ spl0_214
    | spl0_104
    | ~ spl0_7
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f2377,f1539,f573,f1006,f1544]) ).

fof(f5835,plain,
    ( ~ spl0_248
    | spl0_309
    | ~ spl0_27
    | spl0_246 ),
    inference(avatar_split_clause,[],[f3163,f1704,f651,f2145,f1714]) ).

fof(f5848,plain,
    ( ~ spl0_287
    | spl0_191
    | ~ spl0_27
    | spl0_288 ),
    inference(avatar_split_clause,[],[f4022,f1914,f651,f1433,f1909]) ).

fof(f5883,plain,
    ( ~ spl0_297
    | ~ spl0_298
    | ~ spl0_28
    | spl0_203 ),
    inference(avatar_split_clause,[],[f5739,f1489,f654,f1964,f1959]) ).

fof(f5924,plain,
    ( ~ spl0_284
    | spl0_186
    | ~ spl0_17
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f3216,f1415,f609,f1410,f1894]) ).

fof(f5942,plain,
    ( ~ spl0_237
    | spl0_157
    | ~ spl0_5
    | spl0_238 ),
    inference(avatar_split_clause,[],[f4735,f1664,f567,f1266,f1659]) ).

fof(f5953,plain,
    ( ~ spl0_296
    | spl0_201
    | ~ spl0_12
    | spl0_295 ),
    inference(avatar_split_clause,[],[f5138,f1949,f590,f1480,f1954]) ).

fof(f5954,plain,
    ( ~ spl0_221
    | spl0_337
    | ~ spl0_12
    | spl0_220 ),
    inference(avatar_split_clause,[],[f5296,f1574,f590,f2515,f1579]) ).

fof(f5961,plain,
    ( ~ spl0_291
    | spl0_195
    | ~ spl0_15
    | spl0_290 ),
    inference(avatar_split_clause,[],[f5628,f1924,f602,f1452,f1929]) ).

fof(f5965,plain,
    ( spl0_194
    | spl0_330
    | ~ spl0_19
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f3432,f1919,f616,f2353,f1447]) ).

fof(f5969,plain,
    ( spl0_337
    | spl0_118
    | ~ spl0_19
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f5681,f1579,f616,f1076,f2515]) ).

fof(f5972,plain,
    ( ~ spl0_344
    | ~ spl0_260
    | ~ spl0_8
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f5438,f1335,f577,f1774,f2561]) ).

fof(f6122,plain,
    ( c3_1(a634)
    | c1_1(a634)
    | ~ spl0_16
    | ~ spl0_125 ),
    inference(resolution,[],[f607,f1111]) ).

fof(f6127,plain,
    ( spl0_126
    | spl0_124
    | ~ spl0_16
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f6122,f1109,f606,f1104,f1114]) ).

fof(f6130,plain,
    ( ~ spl0_223
    | spl0_122
    | ~ spl0_15
    | spl0_224 ),
    inference(avatar_split_clause,[],[f2740,f1594,f602,f1095,f1589]) ).

fof(f6246,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(resolution,[],[f719,f568]) ).

fof(f6247,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_43 ),
    inference(resolution,[],[f719,f625]) ).

fof(f6249,plain,
    ( ~ c1_1(a673)
    | ~ c3_1(a673)
    | ~ spl0_43
    | ~ spl0_199 ),
    inference(resolution,[],[f719,f1473]) ).

fof(f6273,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f6247]) ).

fof(f6274,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f6246]) ).

fof(f6284,plain,
    ( ~ spl0_294
    | ~ spl0_293
    | ~ spl0_43
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f6249,f1471,f718,f1939,f1944]) ).

fof(f6286,plain,
    ( ~ spl0_247
    | ~ spl0_309
    | ~ spl0_4
    | spl0_246 ),
    inference(avatar_split_clause,[],[f5059,f1704,f563,f2145,f1709]) ).

fof(f6289,plain,
    ( ~ spl0_248
    | ~ spl0_247
    | ~ spl0_21
    | spl0_246 ),
    inference(avatar_split_clause,[],[f5716,f1704,f624,f1709,f1714]) ).

fof(f6300,plain,
    ( ~ c1_1(a675)
    | ~ spl0_21
    | ~ spl0_43
    | ~ spl0_297 ),
    inference(resolution,[],[f6273,f1961]) ).

fof(f6306,plain,
    ( ~ c1_1(a653)
    | ~ spl0_21
    | ~ spl0_43
    | ~ spl0_279 ),
    inference(resolution,[],[f6273,f1871]) ).

fof(f6325,plain,
    ( ~ spl0_278
    | ~ spl0_21
    | ~ spl0_43
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f6306,f1869,f718,f624,f1864]) ).

fof(f6326,plain,
    ( ~ spl0_298
    | ~ spl0_21
    | ~ spl0_43
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f6300,f1959,f718,f624,f1964]) ).

fof(f6327,plain,
    ( spl0_28
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f6274,f718,f567,f654]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_15
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_21
    | spl0_25 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_17
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_27
    | spl0_30 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s19,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_36
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_11
    | ~ spl0_29
    | spl0_41 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_17
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_43
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_41 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_39
    | spl0_41 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_30
    | spl0_46 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_16 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_12
    | ~ spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_26
    | spl0_49 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_12
    | ~ spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_28
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_21
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_34
    | ~ spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_13
    | ~ spl0_29
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_17
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_32
    | ~ spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_17
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_39
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s53,plain,
    ( spl0_77
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s54,plain,
    ( spl0_77
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s55,plain,
    ( spl0_76
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s58,plain,
    ( ~ spl0_62
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s59,plain,
    ( ~ spl0_62
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s60,plain,
    ( spl0_92
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s61,plain,
    ( spl0_92
    | spl0_94 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s62,plain,
    ( spl0_92
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s63,plain,
    ( ~ spl0_30
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s64,plain,
    ( ~ spl0_30
    | spl0_97 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s65,plain,
    ( spl0_60
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s67,plain,
    ( ~ spl0_59
    | spl0_100 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s68,plain,
    ( ~ spl0_59
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s71,plain,
    ( ~ spl0_82
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s73,plain,
    ( ~ spl0_38
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s75,plain,
    ( spl0_56
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s76,plain,
    ( spl0_56
    | spl0_109 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s77,plain,
    ( spl0_54
    | spl0_110 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s79,plain,
    ( spl0_54
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s80,plain,
    ( ~ spl0_53
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s81,plain,
    ( ~ spl0_53
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s82,plain,
    ( spl0_52
    | spl0_115 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s83,plain,
    ( spl0_52
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s84,plain,
    ( spl0_52
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s85,plain,
    ( spl0_33
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s86,plain,
    ( spl0_65
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s87,plain,
    ( spl0_65
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s88,plain,
    ( spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s89,plain,
    ( ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1107]) ).

cnf(s90,plain,
    ( ~ spl0_123
    | spl0_125 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s91,plain,
    ( ~ spl0_123
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s92,plain,
    ( spl0_31
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s93,plain,
    ( spl0_31
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s94,plain,
    ( spl0_31
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s98,plain,
    ( ~ spl0_51
    | spl0_133 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s99,plain,
    ( spl0_50
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s100,plain,
    ( spl0_50
    | spl0_135 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s102,plain,
    ( ~ spl0_68
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s103,plain,
    ( spl0_63
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s104,plain,
    ( spl0_63
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s110,plain,
    ( spl0_61
    | spl0_147 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s111,plain,
    ( spl0_61
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s112,plain,
    ( spl0_61
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1230]) ).

cnf(s113,plain,
    ( spl0_47
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s114,plain,
    ( spl0_47
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s117,plain,
    ( ~ spl0_48
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1255]) ).

cnf(s118,plain,
    ( ~ spl0_48
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1260]) ).

cnf(s119,plain,
    ( ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1269]) ).

cnf(s121,plain,
    ( spl0_22
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s122,plain,
    ( spl0_22
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1288]) ).

cnf(s123,plain,
    ( ~ spl0_25
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s124,plain,
    ( ~ spl0_46
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1298]) ).

cnf(s125,plain,
    ( ~ spl0_58
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1303]) ).

cnf(s126,plain,
    ( ~ spl0_26
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s127,plain,
    ( spl0_44
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1313]) ).

cnf(s128,plain,
    ( spl0_44
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1318]) ).

cnf(s129,plain,
    ( spl0_57
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s132,plain,
    ( ~ spl0_37
    | spl0_171 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s140,plain,
    ( spl0_67
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1378]) ).

cnf(s141,plain,
    ( spl0_67
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1383]) ).

cnf(s142,plain,
    ( spl0_66
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1388]) ).

cnf(s144,plain,
    ( spl0_29
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s145,plain,
    ( spl0_40
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1403]) ).

cnf(s146,plain,
    ( spl0_20
    | spl0_185 ),
    inference(sat_conversion,[],[f1408]) ).

cnf(s147,plain,
    ( ~ spl0_49
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f1413]) ).

cnf(s148,plain,
    ( ~ spl0_49
    | spl0_187 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s149,plain,
    ( ~ spl0_188
    | spl0_189 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s150,plain,
    ( spl0_190
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f1436]) ).

cnf(s152,plain,
    ( ~ spl0_192
    | ~ spl0_194 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s153,plain,
    ( spl0_79
    | ~ spl0_195 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s154,plain,
    ( spl0_78
    | ~ spl0_196 ),
    inference(sat_conversion,[],[f1460]) ).

cnf(s156,plain,
    ( ~ spl0_198
    | spl0_199 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s157,plain,
    ( ~ spl0_200
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f1483]) ).

cnf(s158,plain,
    ( ~ spl0_202
    | ~ spl0_203 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s159,plain,
    ( spl0_77
    | ~ spl0_204 ),
    inference(sat_conversion,[],[f1497]) ).

cnf(s160,plain,
    ( spl0_76
    | spl0_205 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s161,plain,
    ( spl0_76
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f1507]) ).

cnf(s163,plain,
    ( ~ spl0_62
    | ~ spl0_208 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s164,plain,
    ( ~ spl0_30
    | spl0_209 ),
    inference(sat_conversion,[],[f1522]) ).

cnf(s165,plain,
    ( spl0_60
    | spl0_210 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s166,plain,
    ( ~ spl0_59
    | spl0_211 ),
    inference(sat_conversion,[],[f1532]) ).

cnf(s168,plain,
    ( ~ spl0_82
    | spl0_213 ),
    inference(sat_conversion,[],[f1542]) ).

cnf(s169,plain,
    ( ~ spl0_82
    | spl0_214 ),
    inference(sat_conversion,[],[f1547]) ).

cnf(s172,plain,
    ( ~ spl0_38
    | spl0_217 ),
    inference(sat_conversion,[],[f1562]) ).

cnf(s173,plain,
    ( ~ spl0_38
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s174,plain,
    ( ~ spl0_53
    | spl0_219 ),
    inference(sat_conversion,[],[f1572]) ).

cnf(s175,plain,
    ( spl0_33
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s176,plain,
    ( spl0_33
    | spl0_221 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s177,plain,
    ( spl0_65
    | spl0_222 ),
    inference(sat_conversion,[],[f1587]) ).

cnf(s178,plain,
    ( spl0_121
    | spl0_223 ),
    inference(sat_conversion,[],[f1592]) ).

cnf(s179,plain,
    ( spl0_121
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s183,plain,
    ( ~ spl0_51
    | spl0_228 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s184,plain,
    ( ~ spl0_51
    | spl0_229 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s185,plain,
    ( spl0_50
    | spl0_230 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s186,plain,
    ( ~ spl0_68
    | spl0_231 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s187,plain,
    ( spl0_63
    | spl0_232 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s189,plain,
    ( spl0_47
    | ~ spl0_234 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s191,plain,
    ( ~ spl0_48
    | ~ spl0_236 ),
    inference(sat_conversion,[],[f1657]) ).

cnf(s192,plain,
    ( ~ spl0_156
    | spl0_237 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s193,plain,
    ( ~ spl0_156
    | ~ spl0_238 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s196,plain,
    ( spl0_22
    | spl0_241 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s197,plain,
    ( ~ spl0_25
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s198,plain,
    ( ~ spl0_25
    | spl0_243 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s199,plain,
    ( ~ spl0_46
    | ~ spl0_244 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s200,plain,
    ( ~ spl0_46
    | spl0_245 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s201,plain,
    ( spl0_45
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f1707]) ).

cnf(s202,plain,
    ( spl0_45
    | spl0_247 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s203,plain,
    ( spl0_45
    | spl0_248 ),
    inference(sat_conversion,[],[f1717]) ).

cnf(s204,plain,
    ( ~ spl0_58
    | spl0_249 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s205,plain,
    ( ~ spl0_58
    | spl0_250 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s209,plain,
    ( ~ spl0_26
    | spl0_254 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s210,plain,
    ( ~ spl0_26
    | spl0_255 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s211,plain,
    ( spl0_44
    | spl0_256 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s212,plain,
    ( spl0_57
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s213,plain,
    ( ~ spl0_55
    | spl0_258 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s214,plain,
    ( ~ spl0_55
    | spl0_259 ),
    inference(sat_conversion,[],[f1772]) ).

cnf(s215,plain,
    ( ~ spl0_37
    | spl0_260 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s216,plain,
    ( ~ spl0_37
    | spl0_261 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s217,plain,
    ( ~ spl0_35
    | spl0_262 ),
    inference(sat_conversion,[],[f1787]) ).

cnf(s218,plain,
    ( ~ spl0_35
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s219,plain,
    ( ~ spl0_35
    | spl0_264 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s228,plain,
    ( spl0_67
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s229,plain,
    ( spl0_66
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s230,plain,
    ( spl0_66
    | spl0_275 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s233,plain,
    ( spl0_29
    | spl0_278 ),
    inference(sat_conversion,[],[f1867]) ).

cnf(s234,plain,
    ( spl0_29
    | spl0_279 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s235,plain,
    ( spl0_40
    | spl0_280 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s236,plain,
    ( spl0_40
    | spl0_281 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s237,plain,
    ( spl0_20
    | spl0_282 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s238,plain,
    ( spl0_20
    | spl0_283 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s239,plain,
    ( ~ spl0_49
    | spl0_284 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s240,plain,
    ( ~ spl0_188
    | spl0_285 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s241,plain,
    ( ~ spl0_188
    | spl0_286 ),
    inference(sat_conversion,[],[f1907]) ).

cnf(s242,plain,
    ( spl0_190
    | spl0_287 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s243,plain,
    ( spl0_190
    | ~ spl0_288 ),
    inference(sat_conversion,[],[f1917]) ).

cnf(s244,plain,
    ( ~ spl0_192
    | spl0_289 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s245,plain,
    ( spl0_79
    | ~ spl0_290 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s246,plain,
    ( spl0_79
    | spl0_291 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s247,plain,
    ( spl0_78
    | spl0_292 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s248,plain,
    ( ~ spl0_198
    | spl0_293 ),
    inference(sat_conversion,[],[f1942]) ).

cnf(s249,plain,
    ( ~ spl0_198
    | spl0_294 ),
    inference(sat_conversion,[],[f1947]) ).

cnf(s250,plain,
    ( ~ spl0_200
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s251,plain,
    ( ~ spl0_200
    | spl0_296 ),
    inference(sat_conversion,[],[f1957]) ).

cnf(s252,plain,
    ( ~ spl0_202
    | spl0_297 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s253,plain,
    ( ~ spl0_202
    | spl0_298 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s254,plain,
    ( spl0_198
    | spl0_200
    | spl0_202 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s255,plain,
    ( spl0_156
    | ~ spl0_190
    | spl0_192 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s257,plain,
    ( spl0_82
    | ~ spl0_121
    | spl0_123 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s258,plain,
    ( ~ spl0_33
    | ~ spl0_65
    | spl0_82 ),
    inference(sat_conversion,[],[f1972]) ).

cnf(s259,plain,
    ( spl0_25
    | spl0_62
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1973]) ).

cnf(s325,plain,
    ( spl0_3
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s326,plain,
    ( spl0_3
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s327,plain,
    ( spl0_3
    | ~ spl0_202 ),
    inference(sat_conversion,[],[f2041]) ).

cnf(s328,plain,
    ( ~ spl0_47
    | spl0_188 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s333,plain,
    ( ~ spl0_2
    | spl0_90
    | spl0_208
    | ~ spl0_303 ),
    inference(sat_conversion,[],[f2118]) ).

cnf(s338,plain,
    ( ~ spl0_2
    | spl0_162
    | spl0_242
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s360,plain,
    ( ~ spl0_5
    | spl0_191
    | spl0_288
    | ~ spl0_329 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s364,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f2375]) ).

cnf(s417,plain,
    ( ~ spl0_12
    | ~ spl0_16
    | spl0_19 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s420,plain,
    ( ~ spl0_5
    | spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f2636]) ).

cnf(s422,plain,
    ( ~ spl0_5
    | spl0_11
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f2767]) ).

cnf(s423,plain,
    ( spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f2768]) ).

cnf(s430,plain,
    ( ~ spl0_11
    | spl0_138
    | spl0_139
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f2786]) ).

cnf(s431,plain,
    ( ~ spl0_11
    | spl0_119
    | spl0_120
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f2787]) ).

cnf(s432,plain,
    ( ~ spl0_4
    | spl0_10
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f2788]) ).

cnf(s433,plain,
    ( spl0_10
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f2789]) ).

cnf(s435,plain,
    ( ~ spl0_11
    | spl0_113
    | spl0_114
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f2792]) ).

cnf(s444,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_19 ),
    inference(sat_conversion,[],[f2888]) ).

cnf(s448,plain,
    ( ~ spl0_27
    | spl0_163
    | spl0_244
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f3192]) ).

cnf(s465,plain,
    ( ~ spl0_27
    | spl0_242
    | ~ spl0_243
    | spl0_308 ),
    inference(sat_conversion,[],[f3258]) ).

cnf(s467,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_98
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f3265]) ).

cnf(s477,plain,
    ( ~ spl0_14
    | ~ spl0_115
    | spl0_117
    | spl0_317 ),
    inference(sat_conversion,[],[f3284]) ).

cnf(s481,plain,
    ( ~ spl0_11
    | spl0_116
    | spl0_117
    | ~ spl0_317 ),
    inference(sat_conversion,[],[f3288]) ).

cnf(s483,plain,
    ( ~ spl0_6
    | spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f3290]) ).

cnf(s486,plain,
    ( ~ spl0_11
    | spl0_186
    | ~ spl0_284
    | spl0_314 ),
    inference(sat_conversion,[],[f3293]) ).

cnf(s502,plain,
    ( ~ spl0_34
    | ~ spl0_187
    | ~ spl0_284
    | spl0_314 ),
    inference(sat_conversion,[],[f3534]) ).

cnf(s506,plain,
    ( ~ spl0_36
    | spl0_166
    | spl0_167
    | ~ spl0_256 ),
    inference(sat_conversion,[],[f3636]) ).

cnf(s512,plain,
    ( ~ spl0_39
    | spl0_84
    | spl0_85
    | spl0_302 ),
    inference(sat_conversion,[],[f3701]) ).

cnf(s515,plain,
    ( ~ spl0_39
    | spl0_90
    | spl0_91
    | spl0_303 ),
    inference(sat_conversion,[],[f3704]) ).

cnf(s555,plain,
    ( ~ spl0_27
    | spl0_106
    | ~ spl0_217
    | spl0_218 ),
    inference(sat_conversion,[],[f3744]) ).

cnf(s582,plain,
    ( ~ spl0_13
    | spl0_179
    | spl0_180
    | spl0_273 ),
    inference(sat_conversion,[],[f3771]) ).

cnf(s587,plain,
    ( ~ spl0_13
    | spl0_168
    | spl0_257
    | spl0_310 ),
    inference(sat_conversion,[],[f3776]) ).

cnf(s590,plain,
    ( ~ spl0_13
    | spl0_154
    | spl0_236
    | spl0_341 ),
    inference(sat_conversion,[],[f3779]) ).

cnf(s597,plain,
    ( ~ spl0_13
    | spl0_91
    | spl0_208
    | spl0_303 ),
    inference(sat_conversion,[],[f3786]) ).

cnf(s599,plain,
    ( ~ spl0_13
    | spl0_84
    | spl0_204
    | spl0_302 ),
    inference(sat_conversion,[],[f3788]) ).

cnf(s622,plain,
    ( ~ spl0_12
    | spl0_91
    | spl0_208
    | ~ spl0_303 ),
    inference(sat_conversion,[],[f3811]) ).

cnf(s625,plain,
    ( ~ spl0_12
    | spl0_84
    | spl0_204
    | ~ spl0_302 ),
    inference(sat_conversion,[],[f3814]) ).

cnf(s672,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | spl0_112
    | ~ spl0_316 ),
    inference(sat_conversion,[],[f3861]) ).

cnf(s683,plain,
    ( ~ spl0_39
    | spl0_150
    | spl0_151
    | spl0_340 ),
    inference(sat_conversion,[],[f3872]) ).

cnf(s688,plain,
    ( ~ spl0_39
    | spl0_127
    | spl0_128
    | spl0_129 ),
    inference(sat_conversion,[],[f3877]) ).

cnf(s717,plain,
    ( ~ spl0_6
    | ~ spl0_135
    | ~ spl0_230
    | ~ spl0_306 ),
    inference(sat_conversion,[],[f4125]) ).

cnf(s719,plain,
    ( ~ spl0_6
    | ~ spl0_187
    | ~ spl0_284
    | ~ spl0_314 ),
    inference(sat_conversion,[],[f4127]) ).

cnf(s731,plain,
    ( ~ spl0_5
    | ~ spl0_34
    | spl0_183
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f4155]) ).

cnf(s735,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | spl0_186
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f4159]) ).

cnf(s795,plain,
    ( ~ spl0_12
    | spl0_19
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f4464]) ).

cnf(s810,plain,
    ( ~ spl0_16
    | ~ spl0_115
    | spl0_116
    | spl0_317 ),
    inference(sat_conversion,[],[f4479]) ).

cnf(s823,plain,
    ( ~ spl0_10
    | spl0_194
    | ~ spl0_289
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f4494]) ).

cnf(s828,plain,
    ( ~ spl0_10
    | ~ spl0_258
    | ~ spl0_259
    | spl0_343 ),
    inference(sat_conversion,[],[f4499]) ).

cnf(s874,plain,
    ( ~ spl0_12
    | spl0_168
    | spl0_257
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f4544]) ).

cnf(s880,plain,
    ( ~ spl0_12
    | spl0_86
    | ~ spl0_205
    | spl0_206 ),
    inference(sat_conversion,[],[f4550]) ).

cnf(s890,plain,
    ( ~ spl0_19
    | spl0_160
    | spl0_161
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f4558]) ).

cnf(s928,plain,
    ( ~ spl0_7
    | spl0_162
    | ~ spl0_243
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f4596]) ).

cnf(s932,plain,
    ( ~ spl0_7
    | spl0_118
    | ~ spl0_221
    | ~ spl0_337 ),
    inference(sat_conversion,[],[f4600]) ).

cnf(s944,plain,
    ( ~ spl0_18
    | spl0_134
    | ~ spl0_135
    | spl0_306 ),
    inference(sat_conversion,[],[f4612]) ).

cnf(s969,plain,
    ( ~ spl0_4
    | ~ spl0_262
    | spl0_263
    | ~ spl0_311 ),
    inference(sat_conversion,[],[f4637]) ).

cnf(s971,plain,
    ( ~ spl0_21
    | ~ spl0_262
    | spl0_263
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f4639]) ).

cnf(s972,plain,
    ( ~ spl0_10
    | ~ spl0_260
    | ~ spl0_261
    | spl0_344 ),
    inference(sat_conversion,[],[f4640]) ).

cnf(s977,plain,
    ( ~ spl0_10
    | spl0_165
    | ~ spl0_254
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f4645]) ).

cnf(s1024,plain,
    ( ~ spl0_14
    | ~ spl0_32
    | spl0_93
    | spl0_95 ),
    inference(sat_conversion,[],[f4782]) ).

cnf(s1031,plain,
    ( ~ spl0_14
    | ~ spl0_27
    | spl0_36 ),
    inference(sat_conversion,[],[f4789]) ).

cnf(s1033,plain,
    ( ~ spl0_14
    | spl0_93
    | ~ spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f4791]) ).

cnf(s1037,plain,
    ( ~ spl0_36
    | spl0_154
    | spl0_155
    | ~ spl0_341 ),
    inference(sat_conversion,[],[f4795]) ).

cnf(s1038,plain,
    ( ~ spl0_36
    | spl0_150
    | spl0_151
    | ~ spl0_340 ),
    inference(sat_conversion,[],[f4796]) ).

cnf(s1059,plain,
    ( ~ spl0_6
    | ~ spl0_133
    | ~ spl0_228
    | ~ spl0_229 ),
    inference(sat_conversion,[],[f4867]) ).

cnf(s1078,plain,
    ( ~ spl0_8
    | ~ spl0_185
    | ~ spl0_282
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f4886]) ).

cnf(s1119,plain,
    ( ~ spl0_10
    | spl0_164
    | ~ spl0_249
    | ~ spl0_250 ),
    inference(sat_conversion,[],[f4926]) ).

cnf(s1120,plain,
    ( ~ spl0_10
    | ~ spl0_285
    | ~ spl0_286
    | spl0_348 ),
    inference(sat_conversion,[],[f4927]) ).

cnf(s1121,plain,
    ( ~ spl0_10
    | spl0_186
    | ~ spl0_284
    | ~ spl0_314 ),
    inference(sat_conversion,[],[f4928]) ).

cnf(s1125,plain,
    ( ~ spl0_10
    | spl0_184
    | ~ spl0_280
    | ~ spl0_281 ),
    inference(sat_conversion,[],[f4932]) ).

cnf(s1137,plain,
    ( ~ spl0_16
    | ~ spl0_110
    | spl0_112
    | spl0_316 ),
    inference(sat_conversion,[],[f4944]) ).

cnf(s1154,plain,
    ( ~ spl0_5
    | spl0_181
    | spl0_274
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f4964]) ).

cnf(s1173,plain,
    ( ~ spl0_13
    | spl0_151
    | spl0_234
    | spl0_340 ),
    inference(sat_conversion,[],[f4974]) ).

cnf(s1179,plain,
    ( ~ spl0_14
    | ~ spl0_100
    | spl0_101
    | spl0_320 ),
    inference(sat_conversion,[],[f4980]) ).

cnf(s1180,plain,
    ( ~ spl0_14
    | spl0_108
    | ~ spl0_109
    | spl0_299 ),
    inference(sat_conversion,[],[f4981]) ).

cnf(s1185,plain,
    ( ~ spl0_41
    | spl0_108
    | ~ spl0_109
    | ~ spl0_299 ),
    inference(sat_conversion,[],[f4986]) ).

cnf(s1195,plain,
    ( ~ spl0_41
    | spl0_96
    | ~ spl0_97
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f4996]) ).

cnf(s1201,plain,
    ( ~ spl0_28
    | spl0_101
    | ~ spl0_211
    | ~ spl0_320 ),
    inference(sat_conversion,[],[f5002]) ).

cnf(s1227,plain,
    ( ~ spl0_36
    | spl0_191
    | ~ spl0_287
    | spl0_329 ),
    inference(sat_conversion,[],[f5028]) ).

cnf(s1255,plain,
    ( ~ spl0_5
    | ~ spl0_34
    | spl0_137
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f5231]) ).

cnf(s1259,plain,
    ( ~ spl0_32
    | spl0_191
    | spl0_288
    | spl0_329 ),
    inference(sat_conversion,[],[f5235]) ).

cnf(s1261,plain,
    ( ~ spl0_32
    | spl0_162
    | spl0_242
    | spl0_308 ),
    inference(sat_conversion,[],[f5237]) ).

cnf(s1262,plain,
    ( ~ spl0_6
    | ~ spl0_199
    | ~ spl0_294
    | ~ spl0_332 ),
    inference(sat_conversion,[],[f5238]) ).

cnf(s1269,plain,
    ( ~ spl0_8
    | ~ spl0_189
    | ~ spl0_286
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f5245]) ).

cnf(s1283,plain,
    ( ~ spl0_24
    | ~ spl0_258
    | ~ spl0_259
    | ~ spl0_343 ),
    inference(sat_conversion,[],[f5259]) ).

cnf(s1309,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_254
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f5386]) ).

cnf(s1311,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_280
    | ~ spl0_281 ),
    inference(sat_conversion,[],[f5388]) ).

cnf(s1317,plain,
    ( ~ spl0_16
    | ~ spl0_147
    | spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f5558]) ).

cnf(s1359,plain,
    ( ~ spl0_15
    | ~ spl0_17
    | ~ spl0_292
    | spl0_349 ),
    inference(sat_conversion,[],[f5597]) ).

cnf(s1374,plain,
    ( ~ spl0_28
    | ~ spl0_262
    | ~ spl0_264
    | spl0_311 ),
    inference(sat_conversion,[],[f5788]) ).

cnf(s1378,plain,
    ( ~ spl0_28
    | spl0_183
    | ~ spl0_278
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f5792]) ).

cnf(s1381,plain,
    ( ~ spl0_28
    | spl0_196
    | ~ spl0_292
    | ~ spl0_349 ),
    inference(sat_conversion,[],[f5795]) ).

cnf(s1382,plain,
    ( ~ spl0_28
    | ~ spl0_293
    | ~ spl0_294
    | spl0_332 ),
    inference(sat_conversion,[],[f5796]) ).

cnf(s1416,plain,
    ( ~ spl0_7
    | spl0_104
    | ~ spl0_213
    | ~ spl0_214 ),
    inference(sat_conversion,[],[f5829]) ).

cnf(s1422,plain,
    ( ~ spl0_27
    | spl0_246
    | ~ spl0_248
    | spl0_309 ),
    inference(sat_conversion,[],[f5835]) ).

cnf(s1435,plain,
    ( ~ spl0_27
    | spl0_191
    | ~ spl0_287
    | spl0_288 ),
    inference(sat_conversion,[],[f5848]) ).

cnf(s1470,plain,
    ( ~ spl0_28
    | spl0_203
    | ~ spl0_297
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f5883]) ).

cnf(s1514,plain,
    ( ~ spl0_17
    | spl0_186
    | ~ spl0_187
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f5924]) ).

cnf(s1532,plain,
    ( ~ spl0_5
    | spl0_157
    | ~ spl0_237
    | spl0_238 ),
    inference(sat_conversion,[],[f5942]) ).

cnf(s1546,plain,
    ( ~ spl0_12
    | spl0_201
    | spl0_295
    | ~ spl0_296 ),
    inference(sat_conversion,[],[f5953]) ).

cnf(s1547,plain,
    ( ~ spl0_12
    | spl0_220
    | ~ spl0_221
    | spl0_337 ),
    inference(sat_conversion,[],[f5954]) ).

cnf(s1555,plain,
    ( ~ spl0_15
    | spl0_195
    | spl0_290
    | ~ spl0_291 ),
    inference(sat_conversion,[],[f5961]) ).

cnf(s1559,plain,
    ( ~ spl0_19
    | spl0_194
    | ~ spl0_289
    | spl0_330 ),
    inference(sat_conversion,[],[f5965]) ).

cnf(s1563,plain,
    ( ~ spl0_19
    | spl0_118
    | ~ spl0_221
    | spl0_337 ),
    inference(sat_conversion,[],[f5969]) ).

cnf(s1566,plain,
    ( ~ spl0_8
    | ~ spl0_171
    | ~ spl0_260
    | ~ spl0_344 ),
    inference(sat_conversion,[],[f5972]) ).

cnf(s1572,plain,
    ( ~ spl0_16
    | spl0_124
    | ~ spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f6127]) ).

cnf(s1575,plain,
    ( ~ spl0_15
    | spl0_122
    | ~ spl0_223
    | spl0_224 ),
    inference(sat_conversion,[],[f6130]) ).

cnf(s1584,plain,
    ( ~ spl0_43
    | ~ spl0_199
    | ~ spl0_293
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f6284]) ).

cnf(s1586,plain,
    ( ~ spl0_4
    | spl0_246
    | ~ spl0_247
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f6286]) ).

cnf(s1589,plain,
    ( ~ spl0_21
    | spl0_246
    | ~ spl0_247
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f6289]) ).

cnf(s1598,plain,
    ( ~ spl0_21
    | ~ spl0_43
    | ~ spl0_278
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f6325]) ).

cnf(s1599,plain,
    ( ~ spl0_21
    | ~ spl0_43
    | ~ spl0_297
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f6326]) ).

cnf(s1600,plain,
    ( ~ spl0_5
    | spl0_28
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f6327]) ).

cnf(s1602,plain,
    spl0_3,
    inference(rat,[],[s254,s325,s326,s327]) ).

cnf(s1603,plain,
    ( spl0_40
    | ~ spl0_10 ),
    inference(rat,[],[s1125,s145,s235,s236]) ).

cnf(s1604,plain,
    ( ~ spl0_30
    | ~ spl0_41 ),
    inference(rat,[],[s1195,s63,s64,s164]) ).

cnf(s1607,plain,
    ( ~ spl0_26
    | ~ spl0_10 ),
    inference(rat,[],[s977,s126,s209,s210]) ).

cnf(s1608,plain,
    ( spl0_44
    | ~ spl0_36 ),
    inference(rat,[],[s506,s127,s128,s211]) ).

cnf(s1609,plain,
    ( ~ spl0_10
    | spl0_6
    | spl0_5
    | spl0_2 ),
    inference(rat,[],[s4,s1547,s486,s932,s85,s175,s176,s19,s502,s1121,s147,s148,s239,s34,s1607,s2,s1602]) ).

cnf(s1611,plain,
    ( spl0_60
    | ~ spl0_12
    | ~ spl0_9 ),
    inference(rat,[],[s467,s65,s165]) ).

cnf(s1612,plain,
    ( ~ spl0_35
    | ~ spl0_21 ),
    inference(rat,[],[s971,s217,s218,s219]) ).

cnf(s1615,plain,
    ( spl0_45
    | ~ spl0_21 ),
    inference(rat,[],[s1589,s201,s202,s203]) ).

cnf(s1622,plain,
    ( spl0_57
    | ~ spl0_13
    | ~ spl0_12 ),
    inference(rat,[],[s587,s874,s129,s212]) ).

cnf(s1623,plain,
    ( spl0_56
    | ~ spl0_41
    | ~ spl0_14 ),
    inference(rat,[],[s1180,s1185,s75,s76]) ).

cnf(s1624,plain,
    ( ~ spl0_12
    | spl0_57
    | spl0_15
    | ~ spl0_9
    | spl0_17 ),
    inference(rat,[],[s20,s1608,s1612,s26,s40,s1622,s1611,s1602]) ).

cnf(s1626,plain,
    ( ~ spl0_48
    | ~ spl0_36
    | ~ spl0_13 ),
    inference(rat,[],[s590,s1037,s117,s118,s191]) ).

cnf(s1627,plain,
    ( ~ spl0_36
    | ~ spl0_13
    | spl0_12 ),
    inference(rat,[],[s1038,s1173,s113,s114,s189,s33,s1626,s1602]) ).

cnf(s1628,plain,
    ( ~ spl0_53
    | ~ spl0_11 ),
    inference(rat,[],[s435,s80,s81,s174]) ).

cnf(s1630,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_6 ),
    inference(rat,[],[s810,s481,s82,s83,s84,s36,s1628,s4,s1602]) ).

cnf(s1636,plain,
    ( spl0_31
    | ~ spl0_39 ),
    inference(rat,[],[s688,s92,s93,s94]) ).

cnf(s1641,plain,
    ( spl0_20
    | ~ spl0_8 ),
    inference(rat,[],[s1078,s146,s237,s238]) ).

cnf(s1644,plain,
    ( ~ spl0_25
    | ~ spl0_32
    | ~ spl0_7 ),
    inference(rat,[],[s928,s1261,s123,s197,s198]) ).

cnf(s1648,plain,
    ( spl0_92
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(rat,[],[s1024,s60,s62]) ).

cnf(s1650,plain,
    ( ~ spl0_62
    | ~ spl0_13
    | ~ spl0_12 ),
    inference(rat,[],[s597,s622,s59,s163]) ).

cnf(s1652,plain,
    ( ~ spl0_32
    | ~ spl0_14
    | spl0_62
    | ~ spl0_7 ),
    inference(rat,[],[s259,s1648,s1644]) ).

cnf(s1653,plain,
    ( spl0_92
    | ~ spl0_14 ),
    inference(rat,[],[s1033,s60,s61,s62]) ).

cnf(s1664,plain,
    ( ~ spl0_82
    | ~ spl0_7 ),
    inference(rat,[],[s1416,s71,s168,s169]) ).

cnf(s1665,plain,
    ( spl0_65
    | ~ spl0_11 ),
    inference(rat,[],[s431,s86,s87,s177]) ).

cnf(s1666,plain,
    ( spl0_33
    | ~ spl0_19
    | ~ spl0_7 ),
    inference(rat,[],[s1563,s932,s85,s176]) ).

cnf(s1667,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_11
    | spl0_10
    | ~ spl0_7 ),
    inference(rat,[],[s17,s1604,s465,s928,s30,s123,s197,s198,s1636,s259,s18,s1653,s1652,s1602]) ).

cnf(s1668,plain,
    ( ~ spl0_25
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(rat,[],[s465,s928,s123,s197,s198]) ).

cnf(s1673,plain,
    ( ~ spl0_38
    | spl0_218
    | ~ spl0_27 ),
    inference(rat,[],[s555,s73,s172]) ).

cnf(s1679,plain,
    ( spl0_77
    | ~ spl0_13
    | ~ spl0_12 ),
    inference(rat,[],[s599,s625,s53,s159]) ).

cnf(s1680,plain,
    ( spl0_76
    | ~ spl0_12 ),
    inference(rat,[],[s880,s55,s160,s161]) ).

cnf(s1682,plain,
    ( spl0_79
    | ~ spl0_15 ),
    inference(rat,[],[s1555,s153,s245,s246]) ).

cnf(s1683,plain,
    ( ~ spl0_123
    | ~ spl0_16 ),
    inference(rat,[],[s1572,s89,s90,s91]) ).

cnf(s1684,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1575,s88,s178,s179,s257,s1683,s7,s1031,s17,s1604,s1608,s30,s26,s512,s625,s1679,s53,s54,s159,s49,s1680,s1665,s258,s1666,s1664,s417,s1630,s8,s432,s1609,s2,s1602]) ).

cnf(s1685,plain,
    ( spl0_10
    | ~ spl0_12
    | ~ spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s1641,s3,s10,s1624,s1612,s38,s20,s1623,s1608,s30,s1378,s26,s512,s625,s144,s233,s234,s1679,s53,s54,s159,s16,s7,s49,s483,s432,s1680,s1602]) ).

cnf(s1686,plain,
    ( ~ spl0_12
    | ~ spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s26,s1608,s1679,s23,s49,s735,s1514,s147,s148,s239,s34,s1607,s1603,s1685,s1680,s1602]) ).

cnf(s1687,plain,
    ( ~ spl0_26
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s1309,s209,s210]) ).

cnf(s1688,plain,
    ( spl0_10
    | ~ spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s26,s1627,s1608,s1031,s15,s1378,s144,s233,s234,s16,s7,s483,s432,s1686,s1687,s1602]) ).

cnf(s1689,plain,
    ( ~ spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s26,s1627,s1608,s23,s1603,s1514,s1688,s486,s719,s147,s148,s239,s34,s1687,s1686,s1602]) ).

cnf(s1690,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s1689,s1684]) ).

cnf(s1692,plain,
    ( spl0_61
    | ~ spl0_16 ),
    inference(rat,[],[s1317,s110,s111,s112]) ).

cnf(s1693,plain,
    ( ~ spl0_202
    | ~ spl0_43
    | ~ spl0_21 ),
    inference(rat,[],[s1599,s252,s253]) ).

cnf(s1694,plain,
    ( ~ spl0_200
    | ~ spl0_12 ),
    inference(rat,[],[s1546,s157,s250,s251]) ).

cnf(s1695,plain,
    ( ~ spl0_21
    | spl0_18
    | spl0_200 ),
    inference(rat,[],[s1584,s156,s248,s249,s254,s1693,s27,s1615,s1602]) ).

cnf(s1696,plain,
    ( ~ spl0_202
    | ~ spl0_28 ),
    inference(rat,[],[s1470,s158,s252,s253]) ).

cnf(s1697,plain,
    ( ~ spl0_43
    | spl0_200
    | ~ spl0_5 ),
    inference(rat,[],[s1584,s156,s248,s249,s254,s1696,s1600]) ).

cnf(s1699,plain,
    ( spl0_11
    | spl0_30
    | spl0_43
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s1586,s1422,s201,s202,s203,s27,s17,s422,s1602]) ).

cnf(s1700,plain,
    ( spl0_66
    | ~ spl0_5 ),
    inference(rat,[],[s1154,s142,s229,s230]) ).

cnf(s1701,plain,
    ( spl0_17
    | ~ spl0_12
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s1604,s30,s1699,s512,s625,s1665,s53,s54,s159,s44,s49,s1700,s1680,s1697,s1694,s1602]) ).

cnf(s1702,plain,
    ( spl0_78
    | ~ spl0_28
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(rat,[],[s1381,s1359,s154,s247]) ).

cnf(s1703,plain,
    ( spl0_77
    | ~ spl0_39
    | ~ spl0_12 ),
    inference(rat,[],[s512,s625,s53,s54,s159]) ).

cnf(s1707,plain,
    ( ~ spl0_58
    | ~ spl0_10 ),
    inference(rat,[],[s1119,s125,s204,s205]) ).

cnf(s1708,plain,
    ( spl0_54
    | ~ spl0_16
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s1137,s672,s77,s79]) ).

cnf(s1709,plain,
    ( spl0_29
    | spl0_8
    | spl0_36
    | ~ spl0_11
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s1673,s173,s22,s1283,s828,s213,s214,s37,s1708,s515,s622,s58,s59,s163,s41,s1692,s32,s1031,s15,s731,s1378,s144,s233,s234,s1607,s1602]) ).

cnf(s1710,plain,
    ( spl0_63
    | ~ spl0_11 ),
    inference(rat,[],[s430,s103,s104,s187]) ).

cnf(s1711,plain,
    ( spl0_36
    | spl0_29
    | ~ spl0_11
    | ~ spl0_10
    | ~ spl0_12
    | spl0_6
    | ~ spl0_5 ),
    inference(rat,[],[s972,s1566,s132,s215,s216,s1709,s21,s1602]) ).

cnf(s1717,plain,
    ( ~ spl0_188
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(rat,[],[s1269,s1120,s149,s240,s241]) ).

cnf(s1722,plain,
    ( ~ spl0_192
    | ~ spl0_19
    | ~ spl0_10 ),
    inference(rat,[],[s823,s1559,s152,s244]) ).

cnf(s1723,plain,
    ( spl0_190
    | ~ spl0_27 ),
    inference(rat,[],[s1435,s150,s242,s243]) ).

cnf(s1724,plain,
    ( ~ spl0_156
    | ~ spl0_5 ),
    inference(rat,[],[s1532,s119,s192,s193]) ).

cnf(s1725,plain,
    ( ~ spl0_15
    | ~ spl0_28
    | spl0_39
    | ~ spl0_17 ),
    inference(rat,[],[s50,s1702,s1682,s1602]) ).

cnf(s1726,plain,
    ( spl0_39
    | ~ spl0_12
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s969,s1374,s217,s218,s219,s20,s1725,s15,s1227,s360,s1723,s150,s242,s243,s255,s1722,s795,s30,s1724,s1607,s432,s1701,s1602]) ).

cnf(s1727,plain,
    ( spl0_190
    | ~ spl0_36
    | ~ spl0_5 ),
    inference(rat,[],[s1227,s360,s150,s242,s243]) ).

cnf(s1728,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s683,s1038,s113,s114,s328,s1717,s28,s795,s1722,s255,s1727,s1724,s1602]) ).

cnf(s1741,plain,
    ( ~ spl0_68
    | ~ spl0_34
    | ~ spl0_5 ),
    inference(rat,[],[s1255,s102,s186]) ).

cnf(s1742,plain,
    ( ~ spl0_12
    | spl0_6
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s582,s140,s141,s228,s45,s1741,s41,s1692,s32,s1179,s1201,s67,s68,s166,s39,s15,s1259,s360,s1723,s150,s243,s255,s1722,s795,s28,s1566,s1650,s972,s42,s132,s215,s216,s1711,s21,s1728,s1726,s1710,s1707,s1607,s420,s432,s1701,s1724,s1602]) ).

cnf(s1743,plain,
    ( spl0_12
    | spl0_6 ),
    inference(rat,[],[s477,s481,s82,s83,s84,s36,s32,s1628,s1630,s4,s1602]) ).

cnf(s1744,plain,
    ( spl0_6
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s1743,s1742]) ).

cnf(s1745,plain,
    ( ~ spl0_28
    | spl0_200
    | ~ spl0_6 ),
    inference(rat,[],[s1262,s1382,s156,s248,s249,s254,s1696]) ).

cnf(s1746,plain,
    ( ~ spl0_12
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s417,s1722,s32,s255,s1031,s1723,s15,s1745,s1728,s432,s1726,s1701,s1694,s1724,s1687,s1744,s1602]) ).

cnf(s1747,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(rat,[],[s32,s477,s810,s481,s82,s83,s84,s36,s1628,s1602]) ).

cnf(s1748,plain,
    ( ~ spl0_36
    | spl0_17
    | spl0_12 ),
    inference(rat,[],[s26,s1627,s1608,s1602]) ).

cnf(s1749,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s1311,s235,s236,s23,s1748,s420,s1747,s1746,s1744,s1602]) ).

cnf(s1750,plain,
    ( spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s1749,s1690]) ).

cnf(s1752,plain,
    ( ~ spl0_36
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s795,s1722,s30,s255,s1728,s1727,s1724,s1602]) ).

cnf(s1753,plain,
    ( spl0_6
    | ~ spl0_17
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s582,s140,s141,s228,s45,s1741,s41,s1692,s32,s1179,s1201,s67,s68,s166,s1259,s360,s39,s15,s150,s243,s448,s255,s124,s199,s200,s1722,s31,s795,s1604,s28,s1566,s972,s1650,s132,s215,s216,s42,s21,s1711,s1724,s1749,s1710,s420,s1607,s1707,s1752,s433,s1602]) ).

cnf(s1754,plain,
    ( ~ spl0_17
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s417,s1722,s32,s255,s1031,s1723,s15,s1745,s1753,s1752,s1607,s433,s1724,s1694,s1602]) ).

cnf(s1755,plain,
    ( ~ spl0_12
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s338,s465,s123,s197,s198,s17,s14,s1604,s1695,s30,s422,s1703,s1679,s1665,s49,s44,s1754,s1694,s1680,s1700,s1602]) ).

cnf(s1756,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s448,s124,s199,s200,s17,s31,s1604,s28,s1641,s10,s1612,s20,s483,s1603,s23,s1748,s420,s1747,s1743,s1755,s1749,s1602]) ).

cnf(s1757,plain,
    ( ~ spl0_17
    | ~ spl0_4
    | spl0_5 ),
    inference(rat,[],[s1514,s147,s148,s239,s34,s1607,s432,s1602]) ).

cnf(s1758,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | spl0_5 ),
    inference(rat,[],[s1695,s423,s14,s7,s1668,s1031,s17,s1665,s258,s1666,s795,s1604,s1608,s30,s26,s1703,s1679,s49,s1757,s1664,s2,s1689,s1680,s1694,s1602]) ).

cnf(s1759,plain,
    ( ~ spl0_12
    | spl0_5 ),
    inference(rat,[],[s1514,s147,s148,s239,s34,s1607,s433,s49,s1703,s30,s795,s890,s121,s122,s196,s11,s1758,s1680,s1602]) ).

cnf(s1760,plain,
    ( ~ spl0_49
    | ~ spl0_17 ),
    inference(rat,[],[s1514,s147,s148,s239]) ).

cnf(s1761,plain,
    ( spl0_30
    | spl0_5 ),
    inference(rat,[],[s448,s124,s199,s200,s17,s31,s1747,s1689,s1743,s1759,s1602]) ).

cnf(s1762,plain,
    ~ spl0_2,
    inference(rat,[],[s515,s333,s58,s59,s163,s1667,s1607,s34,s1760,s1748,s20,s1612,s10,s1641,s364,s28,s30,s1604,s1761,s7,s423,s9,s444,s890,s121,s122,s196,s11,s1689,s1747,s1743,s1759,s1756,s1602]) ).

cnf(s1764,plain,
    ~ spl0_4,
    inference(rat,[],[s1750,s1762]) ).

cnf(s1765,plain,
    ( ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s448,s124,s199,s200,s17,s31,s1604,s30,s1665,s1703,s44,s49,s1754,s1680,s1700,s1602,s1764]) ).

cnf(s1766,plain,
    ~ spl0_5,
    inference(rat,[],[s448,s124,s199,s200,s17,s31,s1604,s28,s1641,s10,s1612,s20,s483,s1603,s23,s1748,s420,s1747,s1743,s1765,s1602,s1764]) ).

cnf(s1767,plain,
    ~ spl0_12,
    inference(rat,[],[s1759,s1766]) ).

cnf(s1768,plain,
    spl0_30,
    inference(rat,[],[s1761,s1766]) ).

cnf(s1771,plain,
    spl0_6,
    inference(rat,[],[s1743,s1767]) ).

cnf(s1772,plain,
    ~ spl0_11,
    inference(rat,[],[s1747,s1767]) ).

cnf(s1776,plain,
    ~ spl0_41,
    inference(rat,[],[s1604,s1768]) ).

cnf(s1781,plain,
    spl0_8,
    inference(rat,[],[s28,s1602,s1776]) ).

cnf(s1782,plain,
    ~ spl0_29,
    inference(rat,[],[s24,s1772,s1602,s1776]) ).

cnf(s1785,plain,
    spl0_20,
    inference(rat,[],[s1641,s1781]) ).

cnf(s1787,plain,
    spl0_279,
    inference(rat,[],[s234,s1782]) ).

cnf(s1788,plain,
    spl0_278,
    inference(rat,[],[s233,s1782]) ).

cnf(s1795,plain,
    ~ spl0_51,
    inference(rat,[],[s1059,s98,s183,s184,s1771]) ).

cnf(s1796,plain,
    spl0_10,
    inference(rat,[],[s944,s717,s99,s100,s185,s35,s27,s1598,s1615,s10,s483,s1771,s1795,s1602,s1788,s1787,s1785]) ).

cnf(s1797,plain,
    spl0_40,
    inference(rat,[],[s1603,s1796]) ).

cnf(s1798,plain,
    ~ spl0_26,
    inference(rat,[],[s1607,s1796]) ).

cnf(s1802,plain,
    spl0_36,
    inference(rat,[],[s23,s1772,s1602,s1797]) ).

cnf(s1803,plain,
    spl0_49,
    inference(rat,[],[s34,s1602,s1766,s1798]) ).

cnf(s1809,plain,
    spl0_17,
    inference(rat,[],[s1748,s1767,s1802]) ).

cnf(s1813,plain,
    $false,
    inference(rat,[],[s1760,s1809,s1803]) ).

fof(f6329,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1813]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN440-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n018.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:03:25 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/0.37  % (3511395)Will run a generic schedule for satisfiability detection.
% 0.89/0.37  % (3511400)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=531634856_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.37  % Detected minimum model sizes of [1]
% 0.89/0.37  % Detected maximum model sizes of [67]
% 0.89/0.37  % TRYING [1]
% 0.89/0.37  % (3511401)% WARNING: option uhcvi not known.
% 0.89/0.37  % TRYING [2]
% 0.89/0.37  % TRYING [3]
% 0.89/0.37  % (3511401)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3312575102:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.37  % (3511402)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=12052068:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.37  % (3511403)dis+10_1_sil=32000:sp=arity:random_seed=3314374411:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.37  % (3511404)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2711773049:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.37  % (3511405)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1584347213:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.37  % (3511406)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2739601661:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.37  % TRYING [4]
% 0.89/0.37  % TRYING [5]
% 0.89/0.37  % (3511403)Instruction limit reached! 
% 0.89/0.37  % (3511403)------------------------------
% 0.89/0.37  % (3511403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.37  % (3511403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.37  % (3511403)CaDiCaL version: 2.1.3
% 0.89/0.37  % (3511403)Termination reason: Instruction limit
% 0.89/0.37  % (3511403)Termination phase: Saturation
% 0.89/0.37  % (3511403)Time elapsed: 0.065 s
% 0.89/0.37  % (3511403)Peak memory usage: 13 MB
% 0.89/0.37  % (3511403)Instructions burned: 104 (million)
% 0.89/0.37  % (3511404)Instruction limit reached! 
% 0.89/0.37  % (3511404)------------------------------
% 0.89/0.37  % (3511404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.37  % (3511404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.37  % (3511404)CaDiCaL version: 2.1.3
% 0.89/0.37  % (3511404)Termination reason: Instruction limit
% 0.89/0.37  % (3511404)Termination phase: Saturation
% 0.89/0.37  % (3511404)Time elapsed: 0.073 s
% 0.89/0.37  % (3511404)Peak memory usage: 14 MB
% 0.89/0.37  % (3511404)Instructions burned: 117 (million)
% 0.89/0.37  % (3511406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3511395-3511406"...
% 0.89/0.37  % (3511405)Instruction limit reached! 
% 0.89/0.37  % (3511405)------------------------------
% 0.89/0.37  % (3511405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.37  % (3511405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.37  % (3511405)CaDiCaL version: 2.1.3
% 0.89/0.37  % (3511405)Termination reason: Instruction limit
% 0.89/0.37  % (3511405)Termination phase: Saturation
% 0.89/0.37  % (3511405)Time elapsed: 0.084 s
% 0.89/0.37  % (3511405)Peak memory usage: 14 MB
% 0.89/0.37  % (3511405)Instructions burned: 132 (million)
% 0.89/0.37  % (3511414)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2564298357:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.89/0.37  % (3511406)...printing done.
% 0.89/0.37  % Detected minimum model sizes of [1]
% 0.89/0.37  % Detected maximum model sizes of [67]
% 0.89/0.37  % TRYING [1]
% 0.89/0.37  % TRYING [2]
% 0.89/0.37  % (3511406)Refutation found. Thanks to Tanya!
% 0.89/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.89/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.38  % (3511406)------------------------------
% 0.89/0.38  % (3511406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.38  % (3511406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.38  % (3511406)CaDiCaL version: 2.1.3
% 0.89/0.38  % (3511406)Termination reason: Refutation
% 0.89/0.38  % (3511406)Time elapsed: 0.088 s
% 0.89/0.38  % (3511406)Peak memory usage: 15 MB
% 0.89/0.38  % (3511406)Instructions burned: 146 (million)
% 0.89/0.38  % (3511395)Success in time 0.128 s
% 0.89/0.38  % Vampire exiting
%------------------------------------------------------------------------------