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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN445-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:35 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.26s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :  157
% Syntax   : Number of formulae    :  767 (  26 unt;  77 def)
%            Number of atoms       : 2600 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3099 (1266   ~;1756   |;   0   &)
%                                         (  77 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  102 ( 101 usr;  98 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  216 (   0 sgn 216   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp26
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f21,negated_conjecture,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f24,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f30,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f33,negated_conjecture,
    ( hskp7
    | hskp1
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f36,negated_conjecture,
    ( hskp26
    | hskp11
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f41,negated_conjecture,
    ( ~ hskp28
    | c1_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp28
    | c2_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp28
    | c3_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f47,negated_conjecture,
    ( ~ hskp26
    | c0_1(a349) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f51,negated_conjecture,
    ( ~ hskp21
    | c3_1(a336) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp20
    | c1_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp19
    | c1_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp19
    | c2_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f58,negated_conjecture,
    ( ~ hskp16
    | c2_1(a321) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp16
    | c3_1(a321) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f61,negated_conjecture,
    ( ~ hskp14
    | c1_1(a315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp14
    | c2_1(a315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp13
    | c0_1(a313) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp13
    | c3_1(a313) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp12
    | c3_1(a310) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp11
    | c1_1(a309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp11
    | c3_1(a309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp10
    | c1_1(a308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp10
    | c3_1(a308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f71,negated_conjecture,
    ( ~ hskp8
    | c2_1(a305) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f75,negated_conjecture,
    ( ~ hskp5
    | c2_1(a301) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp3
    | c0_1(a299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp3
    | c3_1(a299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp2
    | c1_1(a297) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp1
    | c0_1(a295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp1
    | c2_1(a295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ c2_1(a349)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c3_1(a349)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a336)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c1_1(a336)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a333)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a330)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f100,negated_conjecture,
    ( ~ c1_1(a321)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a315)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a313)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a310)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a310)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a309)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a308)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a305)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a305)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a301)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a301)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a300)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a300)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c2_1(a300)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a299)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a297)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a295)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a294)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c2_1(a294)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a294)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp2
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp8
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp10
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp19
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp11
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f149,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f172,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f181,plain,
    ndr1_0,
    inference(global_subsumption,[],[f21,f24,f30,f33]) ).

fof(f202,definition,
    ( spl0_1
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f203,plain,
    ( hskp26
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f204,plain,
    ( ~ hskp26
    | spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f206,definition,
    ( spl0_2
  <=> c2_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f208,plain,
    ( ~ c2_1(a349)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f81,f206,f202]) ).

fof(f247,definition,
    ( spl0_11
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f248,plain,
    ( hskp21
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f249,plain,
    ( ~ hskp21
    | spl0_11 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f251,definition,
    ( spl0_12
  <=> c0_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f253,plain,
    ( ~ c0_1(a336)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f92,f251,f247]) ).

fof(f256,definition,
    ( spl0_13
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f257,plain,
    ( hskp20
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( ~ hskp20
    | spl0_13 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f260,definition,
    ( spl0_14
  <=> c2_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f262,plain,
    ( ~ c2_1(a333)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f263,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f94,f260,f256]) ).

fof(f265,definition,
    ( spl0_15
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f266,plain,
    ( hskp19
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f267,plain,
    ( ~ hskp19
    | spl0_15 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f269,definition,
    ( spl0_16
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f271,plain,
    ( ~ c3_1(a330)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f272,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f96,f269,f265]) ).

fof(f292,definition,
    ( spl0_21
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f293,plain,
    ( hskp16
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f294,plain,
    ( ~ hskp16
    | spl0_21 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f296,definition,
    ( spl0_22
  <=> c1_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f298,plain,
    ( ~ c1_1(a321)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f299,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f100,f296,f292]) ).

fof(f310,definition,
    ( spl0_25
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f311,plain,
    ( hskp14
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f312,plain,
    ( ~ hskp14
    | spl0_25 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f314,definition,
    ( spl0_26
  <=> c0_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f316,plain,
    ( ~ c0_1(a315)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f317,plain,
    ( ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f103,f314,f310]) ).

fof(f319,definition,
    ( spl0_27
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f320,plain,
    ( hskp13
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f321,plain,
    ( ~ hskp13
    | spl0_27 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f323,definition,
    ( spl0_28
  <=> c1_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f325,plain,
    ( ~ c1_1(a313)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f326,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f104,f323,f319]) ).

fof(f328,definition,
    ( spl0_29
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f329,plain,
    ( hskp12
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f330,plain,
    ( ~ hskp12
    | spl0_29 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f332,definition,
    ( spl0_30
  <=> c0_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f334,plain,
    ( ~ c0_1(a310)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f335,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f105,f332,f328]) ).

fof(f337,definition,
    ( spl0_31
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f338,plain,
    ( hskp11
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( ~ hskp11
    | spl0_31 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f341,definition,
    ( spl0_32
  <=> c2_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f343,plain,
    ( ~ c2_1(a309)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f344,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f107,f341,f337]) ).

fof(f346,definition,
    ( spl0_33
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f347,plain,
    ( hskp10
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f348,plain,
    ( ~ hskp10
    | spl0_33 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f350,definition,
    ( spl0_34
  <=> c0_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f352,plain,
    ( ~ c0_1(a308)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f353,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f108,f350,f346]) ).

fof(f364,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f365,plain,
    ( hskp8
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( ~ hskp8
    | spl0_37 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f368,definition,
    ( spl0_38
  <=> c0_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f370,plain,
    ( ~ c0_1(a305)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f371,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f111,f368,f364]) ).

fof(f391,definition,
    ( spl0_43
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f392,plain,
    ( hskp5
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f393,plain,
    ( ~ hskp5
    | spl0_43 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f395,definition,
    ( spl0_44
  <=> c1_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f397,plain,
    ( ~ c1_1(a301)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f398,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f116,f395,f391]) ).

fof(f400,definition,
    ( spl0_45
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f402,plain,
    ( ~ hskp4
    | spl0_45 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f404,definition,
    ( spl0_46
  <=> c0_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f406,plain,
    ( ~ c0_1(a300)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f407,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f118,f404,f400]) ).

fof(f409,definition,
    ( spl0_47
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f410,plain,
    ( hskp3
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( ~ hskp3
    | spl0_47 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f413,definition,
    ( spl0_48
  <=> c2_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f415,plain,
    ( ~ c2_1(a299)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f121,f413,f409]) ).

fof(f418,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f419,plain,
    ( hskp2
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( ~ hskp2
    | spl0_49 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f422,definition,
    ( spl0_50
  <=> c0_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f424,plain,
    ( ~ c0_1(a297)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f425,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f122,f422,f418]) ).

fof(f427,definition,
    ( spl0_51
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f428,plain,
    ( hskp1
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f429,plain,
    ( ~ hskp1
    | spl0_51 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f431,definition,
    ( spl0_52
  <=> c1_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f433,plain,
    ( ~ c1_1(a295)
    | spl0_52 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f434,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f124,f431,f427]) ).

fof(f436,definition,
    ( spl0_53
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f438,plain,
    ( ~ hskp0
    | spl0_53 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f440,definition,
    ( spl0_54
  <=> c0_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f442,plain,
    ( ~ c0_1(a294)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f443,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f125,f440,f436]) ).

fof(f444,plain,
    ( hskp16
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1,f204]) ).

fof(f445,plain,
    ( $false
    | spl0_1
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f444,f294]) ).

fof(f446,plain,
    ( spl0_1
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f445]) ).

fof(f481,plain,
    ( hskp11
    | hskp12
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f36,f204]) ).

fof(f482,plain,
    ( hskp12
    | spl0_1
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f481,f339]) ).

fof(f483,plain,
    ( $false
    | spl0_1
    | spl0_29
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f482,f330]) ).

fof(f484,plain,
    ( spl0_1
    | spl0_29
    | spl0_31 ),
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f486,definition,
    ( spl0_59
  <=> c2_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f488,plain,
    ( ~ c2_1(a310)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f489,plain,
    ( ~ spl0_29
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f106,f486,f328]) ).

fof(f506,definition,
    ( spl0_63
  <=> c1_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f508,plain,
    ( c1_1(a353)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f510,definition,
    ( spl0_64
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f511,plain,
    ( hskp28
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( ~ hskp28
    | spl0_64 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,plain,
    ( spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f41,f510,f506]) ).

fof(f515,definition,
    ( spl0_65
  <=> c2_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f517,plain,
    ( c2_1(a353)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f518,plain,
    ( spl0_65
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f42,f510,f515]) ).

fof(f525,plain,
    ( c3_1(a310)
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f65,f329]) ).

fof(f529,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp21 ),
    inference(forward_subsumption_resolution,[],[f129,f181]) ).

fof(f530,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f529,f249]) ).

fof(f559,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp28 ),
    inference(forward_subsumption_resolution,[],[f145,f181]) ).

fof(f614,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | hskp2
      | hskp0 ),
    inference(forward_subsumption_resolution,[],[f131,f181]) ).

fof(f666,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | hskp8
      | hskp5 ),
    inference(forward_subsumption_resolution,[],[f133,f181]) ).

fof(f680,definition,
    ( spl0_75
  <=> c3_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f682,plain,
    ( ~ c3_1(a301)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f683,plain,
    ( ~ spl0_43
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f117,f680,f391]) ).

fof(f685,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | hskp10
      | hskp11 ),
    inference(forward_subsumption_resolution,[],[f134,f181]) ).

fof(f686,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | hskp11 )
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f685,f348]) ).

fof(f687,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | spl0_31
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f686,f339]) ).

fof(f691,plain,
    ( c0_1(a310)
    | c2_1(a310)
    | ~ spl0_29
    | spl0_31
    | spl0_33 ),
    inference(resolution,[],[f687,f525]) ).

fof(f693,plain,
    ( c2_1(a310)
    | ~ spl0_29
    | spl0_30
    | spl0_31
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f691,f334]) ).

fof(f695,plain,
    ( $false
    | ~ spl0_29
    | spl0_30
    | spl0_31
    | spl0_33
    | spl0_59 ),
    inference(forward_subsumption_resolution,[],[f693,f488]) ).

fof(f696,plain,
    ( ~ spl0_29
    | spl0_30
    | spl0_31
    | spl0_33
    | spl0_59 ),
    inference(avatar_contradiction_clause,[],[f695]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0)
      | hskp14
      | hskp0 ),
    inference(forward_subsumption_resolution,[],[f137,f181]) ).

fof(f725,definition,
    ( spl0_76
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f726,plain,
    ( c2_1(a294)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( ~ c2_1(a294)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( ~ spl0_53
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f126,f725,f436]) ).

fof(f730,definition,
    ( spl0_77
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f732,plain,
    ( ~ c3_1(a294)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f733,plain,
    ( ~ spl0_53
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f127,f730,f436]) ).

fof(f748,plain,
    ( c3_1(a353)
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f43,f511]) ).

fof(f762,definition,
    ( spl0_78
  <=> c3_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f764,plain,
    ( ~ c3_1(a349)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( ~ spl0_1
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f82,f762,f202]) ).

fof(f766,plain,
    ( c0_1(a349)
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f47,f203]) ).

fof(f767,plain,
    ( c2_1(a349)
    | c3_1(a349)
    | ~ spl0_1
    | spl0_11 ),
    inference(resolution,[],[f766,f530]) ).

fof(f768,plain,
    ( c3_1(a349)
    | ~ spl0_1
    | spl0_2
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f767,f208]) ).

fof(f769,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_11
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f768,f764]) ).

fof(f770,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_11
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f773,definition,
    ( spl0_79
  <=> c1_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ c1_1(a336)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( ~ spl0_11
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f93,f773,f247]) ).

fof(f778,plain,
    ( c3_1(a336)
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f51,f248]) ).

fof(f793,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp16 ),
    inference(forward_subsumption_resolution,[],[f128,f181]) ).

fof(f794,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f793,f294]) ).

fof(f796,plain,
    ( c3_1(a299)
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f77,f410]) ).

fof(f799,plain,
    ( c1_1(a336)
    | c2_1(a336)
    | ~ spl0_11
    | spl0_21 ),
    inference(resolution,[],[f794,f778]) ).

fof(f807,plain,
    ( c2_1(a336)
    | ~ spl0_11
    | spl0_21
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f799,f775]) ).

fof(f846,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1) ),
    inference(forward_subsumption_resolution,[],[f169,f181]) ).

fof(f849,definition,
    ( spl0_80
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f850,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,definition,
    ( spl0_81
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f885,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | hskp19
      | hskp12 ),
    inference(forward_subsumption_resolution,[],[f139,f181]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | hskp12 )
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f885,f267]) ).

fof(f917,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp13 ),
    inference(forward_subsumption_resolution,[],[f151,f181]) ).

fof(f918,plain,
    ( ! [X0,X1] :
        ( ~ c2_1(X0)
        | ~ c0_1(X1)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X1)
        | c3_1(X1) )
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f917,f321]) ).

fof(f920,definition,
    ( spl0_82
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f921,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f923,definition,
    ( spl0_83
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f924,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f925,plain,
    ( spl0_82
    | spl0_83
    | spl0_27 ),
    inference(avatar_split_clause,[],[f918,f319,f923,f920]) ).

fof(f973,definition,
    ( spl0_86
  <=> c1_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ c1_1(a305)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f976,plain,
    ( ~ spl0_37
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f112,f973,f364]) ).

fof(f977,plain,
    ( c2_1(a305)
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f71,f365]) ).

fof(f978,plain,
    ( ! [X0,X1] :
        ( ~ c3_1(X0)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | c1_1(X0)
        | c0_1(X1)
        | c1_1(X1)
        | hskp1 )
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f154,f794]) ).

fof(f979,plain,
    ( ! [X0,X1] :
        ( ~ c3_1(X0)
        | ~ c2_1(X1)
        | c1_1(X0)
        | c0_1(X1)
        | c1_1(X1)
        | hskp1 )
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f978,f181]) ).

fof(f980,plain,
    ( ! [X0,X1] :
        ( ~ c3_1(X0)
        | ~ c2_1(X1)
        | c1_1(X0)
        | c0_1(X1)
        | c1_1(X1) )
    | spl0_21
    | spl0_51 ),
    inference(forward_subsumption_resolution,[],[f979,f429]) ).

fof(f982,definition,
    ( spl0_87
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f983,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f985,definition,
    ( spl0_88
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f986,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f987,plain,
    ( spl0_87
    | spl0_88
    | spl0_21
    | spl0_51 ),
    inference(avatar_split_clause,[],[f980,f427,f292,f985,f982]) ).

fof(f991,plain,
    ( c1_1(a336)
    | c0_1(a336)
    | ~ spl0_11
    | spl0_21
    | spl0_79
    | ~ spl0_87 ),
    inference(resolution,[],[f983,f807]) ).

fof(f993,plain,
    ( c1_1(a305)
    | c0_1(a305)
    | ~ spl0_37
    | ~ spl0_87 ),
    inference(resolution,[],[f983,f977]) ).

fof(f996,plain,
    ( c0_1(a305)
    | ~ spl0_37
    | spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f993,f975]) ).

fof(f997,plain,
    ( c0_1(a336)
    | ~ spl0_11
    | spl0_21
    | spl0_79
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f991,f775]) ).

fof(f999,plain,
    ( $false
    | ~ spl0_37
    | spl0_38
    | spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f996,f370]) ).

fof(f1000,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f999]) ).

fof(f1001,plain,
    ( $false
    | ~ spl0_11
    | spl0_12
    | spl0_21
    | spl0_79
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f997,f253]) ).

fof(f1002,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_21
    | spl0_79
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1005,plain,
    ( c1_1(a336)
    | ~ spl0_11
    | ~ spl0_88 ),
    inference(resolution,[],[f986,f778]) ).

fof(f1009,plain,
    ( $false
    | ~ spl0_11
    | spl0_79
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f1005,f775]) ).

fof(f1010,plain,
    ( ~ spl0_11
    | spl0_79
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1011,plain,
    ( c0_1(a295)
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f79,f428]) ).

fof(f1012,plain,
    ( c3_1(a295)
    | c1_1(a295)
    | ~ spl0_51
    | ~ spl0_82 ),
    inference(resolution,[],[f1011,f921]) ).

fof(f1013,plain,
    ( c3_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f1012,f433]) ).

fof(f1014,plain,
    ( ~ c0_1(a295)
    | ~ c2_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(resolution,[],[f1013,f853]) ).

fof(f1017,plain,
    ( ~ c2_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f1014,f1011]) ).

fof(f1018,plain,
    ( $false
    | ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(global_subsumption,[],[f1017,f428,f80]) ).

fof(f1019,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1020,plain,
    ( ! [X0,X1] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f846,f794]) ).

fof(f1022,definition,
    ( spl0_89
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f1023,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1024,plain,
    ( spl0_89
    | spl0_81
    | spl0_21 ),
    inference(avatar_split_clause,[],[f1020,f292,f852,f1022]) ).

fof(f1030,plain,
    ( c2_1(a299)
    | ~ spl0_47
    | ~ spl0_89 ),
    inference(resolution,[],[f1023,f796]) ).

fof(f1032,plain,
    ( $false
    | ~ spl0_47
    | spl0_48
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f1030,f415]) ).

fof(f1033,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1038,plain,
    ( c2_1(a295)
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f80,f428]) ).

fof(f1060,plain,
    ( c0_1(a313)
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f63,f320]) ).

fof(f1061,plain,
    ( c3_1(a313)
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f64,f320]) ).

fof(f1062,plain,
    ( ~ c0_1(a313)
    | ~ c2_1(a313)
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(resolution,[],[f1061,f853]) ).

fof(f1063,plain,
    ( c1_1(a313)
    | c2_1(a313)
    | spl0_21
    | ~ spl0_27 ),
    inference(resolution,[],[f1061,f794]) ).

fof(f1064,plain,
    ( c2_1(a313)
    | spl0_21
    | ~ spl0_27
    | spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1063,f325]) ).

fof(f1065,plain,
    ( ~ c2_1(a313)
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1062,f1060]) ).

fof(f1066,plain,
    ( $false
    | spl0_21
    | ~ spl0_27
    | spl0_28
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1064,f1065]) ).

fof(f1067,plain,
    ( spl0_21
    | ~ spl0_27
    | spl0_28
    | ~ spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1066]) ).

fof(f1075,plain,
    ( c3_1(a295)
    | c1_1(a295)
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(resolution,[],[f924,f1038]) ).

fof(f1076,plain,
    ( c3_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f1075,f433]) ).

fof(f1079,plain,
    ( ~ c0_1(a295)
    | ~ c2_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(resolution,[],[f1076,f853]) ).

fof(f1081,plain,
    ( ~ c2_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f1079,f1011]) ).

fof(f1082,plain,
    ( $false
    | ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f1081,f1038]) ).

fof(f1083,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1082]) ).

fof(f1085,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp3 ),
    inference(forward_subsumption_resolution,[],[f150,f181]) ).

fof(f1087,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | hskp11
      | hskp20 ),
    inference(forward_subsumption_resolution,[],[f140,f181]) ).

fof(f1095,plain,
    ( c1_1(a333)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f52,f257]) ).

fof(f1105,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | spl0_15
    | spl0_29 ),
    inference(forward_subsumption_resolution,[],[f887,f330]) ).

fof(f1114,plain,
    ( ~ c0_1(a295)
    | c1_1(a295)
    | spl0_15
    | spl0_29
    | ~ spl0_51 ),
    inference(resolution,[],[f1105,f1038]) ).

fof(f1115,plain,
    ( c1_1(a295)
    | spl0_15
    | spl0_29
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1114,f1011]) ).

fof(f1119,plain,
    ( $false
    | spl0_15
    | spl0_29
    | ~ spl0_51
    | spl0_52 ),
    inference(forward_subsumption_resolution,[],[f1115,f433]) ).

fof(f1120,plain,
    ( spl0_15
    | spl0_29
    | ~ spl0_51
    | spl0_52 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1146,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c1_1(X1)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X1)
        | c2_1(X1) )
    | spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1085,f411]) ).

fof(f1148,definition,
    ( spl0_90
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f1149,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f1151,definition,
    ( spl0_91
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f1152,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1153,plain,
    ( spl0_90
    | spl0_91
    | spl0_47 ),
    inference(avatar_split_clause,[],[f1146,f409,f1151,f1148]) ).

fof(f1200,definition,
    ( spl0_94
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f1201,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1212,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1)
        | hskp3 )
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f163,f1023]) ).

fof(f1213,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1)
        | hskp3 )
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f1212,f1023]) ).

fof(f1214,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1)
        | hskp3 )
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f1213,f181]) ).

fof(f1215,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1) )
    | spl0_47
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f1214,f411]) ).

fof(f1217,definition,
    ( spl0_96
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f1218,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f1219,plain,
    ( spl0_96
    | spl0_80
    | spl0_47
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1215,f1022,f409,f849,f1217]) ).

fof(f1222,plain,
    ( c2_1(a333)
    | ~ spl0_13
    | ~ spl0_80 ),
    inference(resolution,[],[f850,f1095]) ).

fof(f1228,plain,
    ( $false
    | ~ spl0_13
    | spl0_14
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1222,f262]) ).

fof(f1229,plain,
    ( ~ spl0_13
    | spl0_14
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1233,plain,
    ( c0_1(a336)
    | ~ spl0_11
    | ~ spl0_96 ),
    inference(resolution,[],[f1218,f778]) ).

fof(f1239,plain,
    ( $false
    | ~ spl0_11
    | spl0_12
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f1233,f253]) ).

fof(f1240,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1243,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | hskp20 )
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1087,f339]) ).

fof(f1248,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | spl0_13
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1243,f258]) ).

fof(f1258,plain,
    ( ~ c0_1(a295)
    | c1_1(a295)
    | spl0_13
    | spl0_31
    | ~ spl0_51 ),
    inference(resolution,[],[f1248,f1038]) ).

fof(f1259,plain,
    ( c1_1(a295)
    | spl0_13
    | spl0_31
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1258,f1011]) ).

fof(f1262,plain,
    ( $false
    | spl0_13
    | spl0_31
    | ~ spl0_51
    | spl0_52 ),
    inference(forward_subsumption_resolution,[],[f1259,f433]) ).

fof(f1263,plain,
    ( spl0_13
    | spl0_31
    | ~ spl0_51
    | spl0_52 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1280,plain,
    ( c2_1(a321)
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f58,f293]) ).

fof(f1286,plain,
    ( c1_1(a308)
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f68,f347]) ).

fof(f1295,plain,
    ( c3_1(a308)
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f69,f347]) ).

fof(f1328,definition,
    ( spl0_97
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f1329,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1337,plain,
    ( c1_1(a321)
    | ~ spl0_21
    | ~ spl0_97 ),
    inference(resolution,[],[f1329,f1280]) ).

fof(f1342,plain,
    ( $false
    | ~ spl0_21
    | spl0_22
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f1337,f298]) ).

fof(f1343,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1345,plain,
    ( ! [X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | c1_1(X0)
        | c1_1(X1)
        | hskp1 )
    | spl0_13
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f154,f1248]) ).

fof(f1346,plain,
    ( c3_1(a321)
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f59,f293]) ).

fof(f1347,plain,
    ( ! [X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X1)
        | c1_1(X0)
        | c1_1(X1)
        | hskp1 )
    | spl0_13
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1345,f181]) ).

fof(f1348,plain,
    ( ! [X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X1)
        | c1_1(X0)
        | c1_1(X1) )
    | spl0_13
    | spl0_31
    | spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1347,f429]) ).

fof(f1351,plain,
    ( c0_1(a313)
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f63,f320]) ).

fof(f1352,plain,
    ( c3_1(a313)
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f64,f320]) ).

fof(f1370,definition,
    ( spl0_99
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f1371,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f1370]) ).

fof(f1372,plain,
    ( spl0_97
    | spl0_99
    | spl0_13
    | spl0_31
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1348,f427,f337,f256,f1370,f1328]) ).

fof(f1377,plain,
    ( c1_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_21
    | ~ spl0_99 ),
    inference(resolution,[],[f1371,f1346]) ).

fof(f1382,plain,
    ( ~ c2_1(a321)
    | ~ spl0_21
    | spl0_22
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f1377,f298]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_21
    | spl0_22
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f1382,f1280]) ).

fof(f1386,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1388,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp1 ),
    inference(forward_subsumption_resolution,[],[f154,f181]) ).

fof(f1389,plain,
    ( ! [X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X1)
        | c1_1(X0)
        | c0_1(X1)
        | c1_1(X1) )
    | spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1388,f429]) ).

fof(f1390,plain,
    ( c1_1(a309)
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f66,f338]) ).

fof(f1399,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp3 ),
    inference(forward_subsumption_resolution,[],[f163,f181]) ).

fof(f1408,definition,
    ( spl0_100
  <=> c1_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f1410,plain,
    ( ~ c1_1(a300)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f1408]) ).

fof(f1411,plain,
    ( ~ spl0_45
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f119,f1408,f400]) ).

fof(f1413,definition,
    ( spl0_101
  <=> c2_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f1415,plain,
    ( ~ c2_1(a300)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f1416,plain,
    ( ~ spl0_45
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f120,f1413,f400]) ).

fof(f1418,definition,
    ( spl0_102
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f1419,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f1418]) ).

fof(f1420,plain,
    ( spl0_102
    | spl0_81 ),
    inference(avatar_split_clause,[],[f846,f852,f1418]) ).

fof(f1435,plain,
    ( c3_1(a309)
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f67,f338]) ).

fof(f1436,plain,
    ( c2_1(a309)
    | ~ c1_1(a309)
    | ~ spl0_31
    | ~ spl0_102 ),
    inference(resolution,[],[f1435,f1419]) ).

fof(f1437,plain,
    ( ~ c1_1(a309)
    | ~ spl0_31
    | spl0_32
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f1436,f343]) ).

fof(f1438,plain,
    ( $false
    | ~ spl0_31
    | spl0_32
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f1437,f1390]) ).

fof(f1439,plain,
    ( ~ spl0_31
    | spl0_32
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f1438]) ).

fof(f1440,plain,
    ( ~ c0_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_64
    | ~ spl0_81 ),
    inference(resolution,[],[f853,f748]) ).

fof(f1444,plain,
    ( ~ c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_21
    | ~ spl0_81 ),
    inference(resolution,[],[f853,f1346]) ).

fof(f1445,plain,
    ( ~ c0_1(a313)
    | ~ c2_1(a313)
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(resolution,[],[f853,f1352]) ).

fof(f1449,plain,
    ( ~ c2_1(a313)
    | ~ spl0_27
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1445,f1351]) ).

fof(f1450,plain,
    ( ~ c0_1(a321)
    | ~ spl0_21
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1444,f1280]) ).

fof(f1452,plain,
    ( ~ c0_1(a353)
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1440,f517]) ).

fof(f1456,plain,
    ( c0_1(a299)
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f76,f410]) ).

fof(f1457,plain,
    ( c3_1(a299)
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f77,f410]) ).

fof(f1468,definition,
    ( spl0_103
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f1469,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f1506,plain,
    ( spl0_87
    | spl0_99
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1389,f427,f1370,f982]) ).

fof(f1513,plain,
    ( c1_1(a321)
    | c0_1(a321)
    | ~ spl0_21
    | ~ spl0_87 ),
    inference(resolution,[],[f983,f1280]) ).

fof(f1515,plain,
    ( c0_1(a321)
    | ~ spl0_21
    | spl0_22
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1513,f298]) ).

fof(f1517,plain,
    ( $false
    | ~ spl0_21
    | spl0_22
    | ~ spl0_81
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1515,f1450]) ).

fof(f1518,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_81
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1519,plain,
    ( c0_1(a295)
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f79,f428]) ).

fof(f1520,plain,
    ( c2_1(a295)
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f80,f428]) ).

fof(f1548,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp14 ),
    inference(forward_subsumption_resolution,[],[f164,f181]) ).

fof(f1552,definition,
    ( spl0_109
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f1553,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f1559,plain,
    ( c2_1(a313)
    | c1_1(a313)
    | ~ spl0_27
    | ~ spl0_109 ),
    inference(resolution,[],[f1553,f1351]) ).

fof(f1568,plain,
    ( c1_1(a313)
    | ~ spl0_27
    | ~ spl0_81
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1559,f1449]) ).

fof(f1572,plain,
    ( $false
    | ~ spl0_27
    | spl0_28
    | ~ spl0_81
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1568,f325]) ).

fof(f1573,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_81
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1575,plain,
    ( c1_1(a315)
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f61,f311]) ).

fof(f1606,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | hskp5 )
    | spl0_37 ),
    inference(forward_subsumption_resolution,[],[f666,f366]) ).

fof(f1607,plain,
    ( c2_1(a315)
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f62,f311]) ).

fof(f1608,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | spl0_37
    | spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1606,f393]) ).

fof(f1612,plain,
    ( spl0_90
    | spl0_37
    | spl0_43 ),
    inference(avatar_split_clause,[],[f1608,f391,f364,f1148]) ).

fof(f1630,definition,
    ( spl0_112
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f1631,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f1630]) ).

fof(f1636,definition,
    ( spl0_114
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f1637,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f1636]) ).

fof(f1650,plain,
    ( c2_1(a300)
    | c1_1(a300)
    | spl0_46
    | ~ spl0_112 ),
    inference(resolution,[],[f1631,f406]) ).

fof(f1653,plain,
    ( c1_1(a300)
    | spl0_46
    | spl0_101
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1650,f1415]) ).

fof(f1659,plain,
    ( $false
    | spl0_46
    | spl0_100
    | spl0_101
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1653,f1410]) ).

fof(f1660,plain,
    ( spl0_46
    | spl0_100
    | spl0_101
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1659]) ).

fof(f1662,plain,
    ( c0_1(a353)
    | ~ c1_1(a353)
    | ~ spl0_65
    | ~ spl0_114 ),
    inference(resolution,[],[f1637,f517]) ).

fof(f1667,plain,
    ( c0_1(a315)
    | ~ c1_1(a315)
    | ~ spl0_25
    | ~ spl0_114 ),
    inference(resolution,[],[f1637,f1607]) ).

fof(f1670,plain,
    ( ~ c1_1(a315)
    | ~ spl0_25
    | spl0_26
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1667,f316]) ).

fof(f1672,plain,
    ( ~ c1_1(a353)
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_81
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1662,f1452]) ).

fof(f1673,plain,
    ( $false
    | ~ spl0_25
    | spl0_26
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1670,f1575]) ).

fof(f1674,plain,
    ( ~ spl0_25
    | spl0_26
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1673]) ).

fof(f1675,plain,
    ( $false
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_81
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1672,f508]) ).

fof(f1676,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_81
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1725,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp0 ),
    inference(forward_subsumption_resolution,[],[f155,f181]) ).

fof(f1727,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    inference(forward_subsumption_resolution,[],[f172,f181]) ).

fof(f1728,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1)
        | c1_1(X1) )
    | spl0_53 ),
    inference(forward_subsumption_resolution,[],[f1725,f438]) ).

fof(f1730,plain,
    ( c1_1(a297)
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f78,f419]) ).

fof(f1771,definition,
    ( spl0_116
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1772,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f1771]) ).

fof(f1773,plain,
    ( spl0_116
    | spl0_102
    | spl0_53 ),
    inference(avatar_split_clause,[],[f1728,f436,f1418,f1771]) ).

fof(f1776,plain,
    ( c1_1(a336)
    | c0_1(a336)
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(resolution,[],[f1772,f778]) ).

fof(f1777,plain,
    ( c1_1(a321)
    | c0_1(a321)
    | ~ spl0_21
    | ~ spl0_116 ),
    inference(resolution,[],[f1772,f1346]) ).

fof(f1785,plain,
    ( c0_1(a321)
    | ~ spl0_21
    | spl0_22
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1777,f298]) ).

fof(f1786,plain,
    ( c0_1(a336)
    | ~ spl0_11
    | spl0_79
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1776,f775]) ).

fof(f1788,plain,
    ( $false
    | ~ spl0_21
    | spl0_22
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1785,f1450]) ).

fof(f1789,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1788]) ).

fof(f1790,plain,
    ( $false
    | ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1786,f253]) ).

fof(f1791,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1793,definition,
    ( spl0_117
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1794,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1793]) ).

fof(f1795,plain,
    ( spl0_112
    | spl0_117
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1727,f1636,f1793,f1630]) ).

fof(f1805,plain,
    ( c0_1(a294)
    | c2_1(a294)
    | spl0_77
    | ~ spl0_117 ),
    inference(resolution,[],[f1794,f732]) ).

fof(f1806,plain,
    ( c2_1(a294)
    | spl0_54
    | spl0_77
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1805,f442]) ).

fof(f1809,plain,
    ( $false
    | spl0_54
    | spl0_76
    | spl0_77
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1806,f727]) ).

fof(f1810,plain,
    ( spl0_54
    | spl0_76
    | spl0_77
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1809]) ).

fof(f1836,definition,
    ( spl0_118
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1837,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f1836]) ).

fof(f1844,plain,
    ( ~ c1_1(a309)
    | ~ spl0_31
    | ~ spl0_118 ),
    inference(resolution,[],[f1837,f1435]) ).

fof(f1845,plain,
    ( ~ c1_1(a308)
    | ~ spl0_33
    | ~ spl0_118 ),
    inference(resolution,[],[f1837,f1295]) ).

fof(f1847,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1845,f1286]) ).

fof(f1848,plain,
    ( ~ spl0_33
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1849,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1844,f1390]) ).

fof(f1850,plain,
    ( ~ spl0_31
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1849]) ).

fof(f1858,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f559,f512]) ).

fof(f1859,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X1)
        | c2_1(X0)
        | c1_1(X1)
        | c2_1(X1) )
    | spl0_25 ),
    inference(forward_subsumption_resolution,[],[f1548,f312]) ).

fof(f1882,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | spl0_25
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1859,f1858]) ).

fof(f1889,plain,
    ( spl0_109
    | spl0_118
    | spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1882,f510,f310,f1836,f1552]) ).

fof(f1907,plain,
    ( c1_1(a330)
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f53,f266]) ).

fof(f1908,plain,
    ( c2_1(a330)
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f54,f266]) ).

fof(f1913,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | hskp11 )
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f685,f348]) ).

fof(f1914,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | spl0_31
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f1913,f339]) ).

fof(f1915,plain,
    ( spl0_103
    | spl0_31
    | spl0_33 ),
    inference(avatar_split_clause,[],[f1914,f346,f337,f1468]) ).

fof(f1924,plain,
    ( ! [X2,X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f174,f853]) ).

fof(f1925,plain,
    ( ! [X2,X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1)
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_81
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1924,f1469]) ).

fof(f1926,plain,
    ( ! [X2,X0,X1] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X1)
        | c2_1(X1)
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_81
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1925,f181]) ).

fof(f1928,definition,
    ( spl0_121
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1929,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f1928]) ).

fof(f1931,definition,
    ( spl0_122
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1932,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1931]) ).

fof(f1934,definition,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1935,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1934]) ).

fof(f1936,plain,
    ( spl0_121
    | spl0_122
    | spl0_123
    | ~ spl0_81
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1926,f1468,f852,f1934,f1931,f1928]) ).

fof(f1937,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_103
    | ~ spl0_121 ),
    inference(resolution,[],[f1929,f1469]) ).

fof(f1951,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_103
    | ~ spl0_121 ),
    inference(duplicate_literal_removal,[],[f1937]) ).

fof(f1954,plain,
    ( spl0_112
    | ~ spl0_103
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1951,f1928,f1468,f1630]) ).

fof(f1995,definition,
    ( spl0_126
  <=> c1_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1996,plain,
    ( ~ c1_1(a308)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f1995]) ).

fof(f1997,plain,
    ( c1_1(a308)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1995]) ).

fof(f1999,definition,
    ( spl0_127
  <=> c2_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f2000,plain,
    ( ~ c2_1(a308)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1999]) ).

fof(f2001,plain,
    ( c2_1(a308)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1999]) ).

fof(f2005,definition,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f2006,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f2005]) ).

fof(f2016,plain,
    ( c1_1(a295)
    | ~ c0_1(a295)
    | ~ spl0_51
    | ~ spl0_128 ),
    inference(resolution,[],[f2006,f1520]) ).

fof(f2018,plain,
    ( ~ c0_1(a295)
    | ~ spl0_51
    | spl0_52
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2016,f433]) ).

fof(f2021,plain,
    ( $false
    | ~ spl0_51
    | spl0_52
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2018,f1519]) ).

fof(f2022,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2021]) ).

fof(f2027,plain,
    ( ~ c2_1(a321)
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(resolution,[],[f1935,f1346]) ).

fof(f2030,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2027,f1280]) ).

fof(f2031,plain,
    ( ~ spl0_21
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2041,plain,
    ( c2_1(a310)
    | spl0_30
    | ~ spl0_122 ),
    inference(resolution,[],[f1932,f334]) ).

fof(f2045,plain,
    ( c2_1(a300)
    | spl0_46
    | ~ spl0_122 ),
    inference(resolution,[],[f1932,f406]) ).

fof(f2046,plain,
    ( c2_1(a294)
    | spl0_54
    | ~ spl0_122 ),
    inference(resolution,[],[f1932,f442]) ).

fof(f2047,plain,
    ( $false
    | spl0_54
    | spl0_76
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2046,f727]) ).

fof(f2048,plain,
    ( spl0_54
    | spl0_76
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2047]) ).

fof(f2049,plain,
    ( $false
    | spl0_46
    | spl0_101
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2045,f1415]) ).

fof(f2050,plain,
    ( spl0_46
    | spl0_101
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2049]) ).

fof(f2051,plain,
    ( $false
    | spl0_30
    | spl0_59
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2041,f488]) ).

fof(f2052,plain,
    ( spl0_30
    | spl0_59
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2051]) ).

fof(f2060,plain,
    ( c0_1(a308)
    | ~ spl0_94
    | ~ spl0_126 ),
    inference(resolution,[],[f1201,f1997]) ).

fof(f2062,plain,
    ( c0_1(a297)
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f1201,f1730]) ).

fof(f2063,plain,
    ( $false
    | ~ spl0_49
    | spl0_50
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2062,f424]) ).

fof(f2064,plain,
    ( ~ spl0_49
    | spl0_50
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2065,plain,
    ( $false
    | spl0_34
    | ~ spl0_94
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2060,f352]) ).

fof(f2066,plain,
    ( spl0_34
    | ~ spl0_94
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2065]) ).

fof(f2071,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | hskp14
        | hskp0 )
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f704,f853]) ).

fof(f2076,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | hskp0 )
    | spl0_25
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f2071,f312]) ).

fof(f2128,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | spl0_25
    | spl0_53
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[],[f2076,f438]) ).

fof(f2129,plain,
    ( spl0_123
    | spl0_25
    | spl0_53
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2128,f852,f436,f310,f1934]) ).

fof(f2133,plain,
    ( ! [X0,X1] :
        ( ~ c0_1(X0)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X1)
        | hskp12 )
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f162,f1932]) ).

fof(f2134,plain,
    ( ! [X0,X1] :
        ( ~ ndr1_0
        | ~ c1_1(X1)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X1)
        | hskp12 )
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2133,f1932]) ).

fof(f2135,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X1)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X1)
        | hskp12 )
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2134,f181]) ).

fof(f2136,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X1)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X1) )
    | spl0_29
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2135,f330]) ).

fof(f2142,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp4 ),
    inference(forward_subsumption_resolution,[],[f167,f181]) ).

fof(f2145,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | hskp0 )
    | spl0_49 ),
    inference(forward_subsumption_resolution,[],[f614,f420]) ).

fof(f2146,plain,
    ( ! [X0,X1] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X0)
        | c1_1(X1) )
    | spl0_45 ),
    inference(forward_subsumption_resolution,[],[f2142,f402]) ).

fof(f2148,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | spl0_49
    | spl0_53 ),
    inference(forward_subsumption_resolution,[],[f2145,f438]) ).

fof(f2165,plain,
    ( c2_1(a299)
    | ~ c1_1(a299)
    | ~ spl0_47
    | ~ spl0_102 ),
    inference(resolution,[],[f1419,f1457]) ).

fof(f2166,plain,
    ( ~ c1_1(a299)
    | ~ spl0_47
    | spl0_48
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f2165,f415]) ).

fof(f2167,plain,
    ( spl0_116
    | spl0_49
    | spl0_53 ),
    inference(avatar_split_clause,[],[f2148,f436,f418,f1771]) ).

fof(f2171,definition,
    ( spl0_129
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f2172,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f2171]) ).

fof(f2173,plain,
    ( spl0_129
    | spl0_94
    | spl0_29
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2136,f1931,f328,f1200,f2171]) ).

fof(f2177,plain,
    ( c2_1(a349)
    | spl0_78
    | ~ spl0_129 ),
    inference(resolution,[],[f2172,f764]) ).

fof(f2193,plain,
    ( $false
    | spl0_2
    | spl0_78
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2177,f208]) ).

fof(f2194,plain,
    ( spl0_2
    | spl0_78
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2193]) ).

fof(f2195,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    inference(forward_subsumption_resolution,[],[f149,f181]) ).

fof(f2199,plain,
    ( ~ hskp10
    | spl0_126 ),
    inference(forward_subsumption_resolution,[],[f68,f1996]) ).

fof(f2201,plain,
    ( ! [X0,X1] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | spl0_53 ),
    inference(forward_subsumption_resolution,[],[f2195,f438]) ).

fof(f2202,plain,
    ( ~ spl0_33
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2199,f1995,f346]) ).

fof(f2204,definition,
    ( spl0_130
  <=> c3_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f2206,plain,
    ( c3_1(a310)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f2204]) ).

fof(f2207,plain,
    ( spl0_130
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f65,f328,f2204]) ).

fof(f2208,plain,
    ( c2_1(a310)
    | ~ c1_1(a310)
    | ~ spl0_102
    | ~ spl0_130 ),
    inference(resolution,[],[f2206,f1419]) ).

fof(f2210,plain,
    ( ~ c1_1(a310)
    | spl0_59
    | ~ spl0_102
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2208,f488]) ).

fof(f2211,plain,
    ( c3_1(a308)
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f69,f347]) ).

fof(f2212,plain,
    ( c2_1(a308)
    | ~ c1_1(a308)
    | ~ spl0_33
    | ~ spl0_102 ),
    inference(resolution,[],[f2211,f1419]) ).

fof(f2214,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_102
    | ~ spl0_117 ),
    inference(resolution,[],[f1794,f1419]) ).

fof(f2226,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_102
    | ~ spl0_117 ),
    inference(duplicate_literal_removal,[],[f2214]) ).

fof(f2231,plain,
    ( spl0_90
    | ~ spl0_102
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2226,f1793,f1418,f1148]) ).

fof(f2241,definition,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f2242,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f2241]) ).

fof(f2243,plain,
    ( spl0_128
    | spl0_131
    | spl0_45 ),
    inference(avatar_split_clause,[],[f2146,f400,f2241,f2005]) ).

fof(f2249,plain,
    ( c1_1(a313)
    | ~ c0_1(a313)
    | ~ spl0_27
    | ~ spl0_131 ),
    inference(resolution,[],[f2242,f1352]) ).

fof(f2252,plain,
    ( c1_1(a299)
    | ~ c0_1(a299)
    | ~ spl0_47
    | ~ spl0_131 ),
    inference(resolution,[],[f2242,f1457]) ).

fof(f2253,plain,
    ( ~ c0_1(a299)
    | ~ spl0_47
    | spl0_48
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2252,f2166]) ).

fof(f2254,plain,
    ( ~ c0_1(a313)
    | ~ spl0_27
    | spl0_28
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2249,f325]) ).

fof(f2256,plain,
    ( $false
    | ~ spl0_47
    | spl0_48
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2253,f1456]) ).

fof(f2257,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2256]) ).

fof(f2258,plain,
    ( $false
    | ~ spl0_27
    | spl0_28
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2254,f1351]) ).

fof(f2259,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2258]) ).

fof(f2261,plain,
    ( ! [X0,X1] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X1)
        | c2_1(X1) )
    | spl0_53
    | ~ spl0_90 ),
    inference(forward_subsumption_resolution,[],[f2201,f1149]) ).

fof(f2262,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X1)
        | c2_1(X1) )
    | spl0_53
    | ~ spl0_90 ),
    inference(forward_subsumption_resolution,[],[f2261,f1149]) ).

fof(f2263,plain,
    ( spl0_122
    | spl0_80
    | spl0_53
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2262,f1148,f436,f849,f1931]) ).

fof(f2264,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c2_1(X1)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1)
        | hskp3 )
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f1399,f1419]) ).

fof(f2265,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp11 ),
    inference(forward_subsumption_resolution,[],[f170,f181]) ).

fof(f2269,plain,
    ( ! [X0,X1] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f2265,f339]) ).

fof(f2304,plain,
    ( c3_1(a330)
    | c0_1(a330)
    | ~ spl0_15
    | ~ spl0_91 ),
    inference(resolution,[],[f1152,f1907]) ).

fof(f2318,plain,
    ( c0_1(a330)
    | ~ spl0_15
    | spl0_16
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f2304,f271]) ).

fof(f2339,plain,
    ( c2_1(a310)
    | c1_1(a310)
    | spl0_30
    | ~ spl0_112 ),
    inference(resolution,[],[f1631,f334]) ).

fof(f2346,plain,
    ( c1_1(a310)
    | spl0_30
    | spl0_59
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2339,f488]) ).

fof(f2348,plain,
    ( $false
    | spl0_30
    | spl0_59
    | ~ spl0_102
    | ~ spl0_112
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2346,f2210]) ).

fof(f2349,plain,
    ( spl0_30
    | spl0_59
    | ~ spl0_102
    | ~ spl0_112
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2348]) ).

fof(f2351,plain,
    ( c2_1(a301)
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f75,f392]) ).

fof(f2398,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_87
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1637,f983]) ).

fof(f2409,plain,
    ( c0_1(a294)
    | ~ spl0_76
    | ~ spl0_87
    | ~ spl0_114 ),
    inference(resolution,[],[f2398,f726]) ).

fof(f2410,plain,
    ( $false
    | spl0_54
    | ~ spl0_76
    | ~ spl0_87
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2409,f442]) ).

fof(f2411,plain,
    ( spl0_54
    | ~ spl0_76
    | ~ spl0_87
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2410]) ).

fof(f2418,plain,
    ( c2_1(a308)
    | ~ spl0_33
    | ~ spl0_102
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2212,f1997]) ).

fof(f2421,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_102
    | ~ spl0_126
    | spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2418,f2000]) ).

fof(f2422,plain,
    ( ~ spl0_33
    | ~ spl0_102
    | ~ spl0_126
    | spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2421]) ).

fof(f2437,plain,
    ( c0_1(a308)
    | ~ c1_1(a308)
    | ~ spl0_114
    | ~ spl0_127 ),
    inference(resolution,[],[f1637,f2001]) ).

fof(f2440,plain,
    ( ~ c1_1(a308)
    | spl0_34
    | ~ spl0_114
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2437,f352]) ).

fof(f2442,plain,
    ( $false
    | spl0_34
    | ~ spl0_114
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2440,f1997]) ).

fof(f2443,plain,
    ( spl0_34
    | ~ spl0_114
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2442]) ).

fof(f2452,plain,
    ( c3_1(a336)
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f51,f248]) ).

fof(f2457,plain,
    ( c2_1(a336)
    | c0_1(a336)
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(resolution,[],[f1469,f2452]) ).

fof(f2466,plain,
    ( c2_1(a336)
    | ~ spl0_11
    | spl0_12
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2457,f253]) ).

fof(f2475,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1)
        | hskp3 )
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2264,f1469]) ).

fof(f2476,plain,
    ( ! [X0,X1] :
        ( ~ c1_1(X0)
        | ~ c3_1(X1)
        | c2_1(X0)
        | c0_1(X1) )
    | spl0_47
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2475,f411]) ).

fof(f2477,plain,
    ( spl0_96
    | spl0_80
    | spl0_47
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2476,f1468,f1418,f409,f849,f1217]) ).

fof(f2484,definition,
    ( spl0_135
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f2485,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f2484]) ).

fof(f2486,plain,
    ( spl0_135
    | spl0_81
    | spl0_31 ),
    inference(avatar_split_clause,[],[f2269,f337,f852,f2484]) ).

fof(f2491,plain,
    ( c3_1(a330)
    | ~ c0_1(a330)
    | ~ spl0_15
    | ~ spl0_135 ),
    inference(resolution,[],[f2485,f1908]) ).

fof(f2494,plain,
    ( c3_1(a301)
    | ~ c0_1(a301)
    | ~ spl0_43
    | ~ spl0_135 ),
    inference(resolution,[],[f2485,f2351]) ).

fof(f2497,plain,
    ( ~ c0_1(a301)
    | ~ spl0_43
    | spl0_75
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2494,f682]) ).

fof(f2499,plain,
    ( ~ c0_1(a330)
    | ~ spl0_15
    | spl0_16
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2491,f271]) ).

fof(f2503,plain,
    ( $false
    | ~ spl0_15
    | spl0_16
    | ~ spl0_91
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2499,f2318]) ).

fof(f2504,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_91
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2503]) ).

fof(f2523,plain,
    ( c1_1(a330)
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f53,f266]) ).

fof(f2524,plain,
    ( c2_1(a330)
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f54,f266]) ).

fof(f2525,plain,
    ( c3_1(a330)
    | ~ c0_1(a330)
    | ~ spl0_15
    | ~ spl0_135 ),
    inference(resolution,[],[f2524,f2485]) ).

fof(f2526,plain,
    ( c0_1(a330)
    | ~ c1_1(a330)
    | ~ spl0_15
    | ~ spl0_114 ),
    inference(resolution,[],[f2524,f1637]) ).

fof(f2527,plain,
    ( c0_1(a330)
    | ~ spl0_15
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2526,f2523]) ).

fof(f2528,plain,
    ( ~ c0_1(a330)
    | ~ spl0_15
    | spl0_16
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2525,f271]) ).

fof(f2529,plain,
    ( $false
    | ~ spl0_15
    | spl0_16
    | ~ spl0_114
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2527,f2528]) ).

fof(f2530,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_114
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2529]) ).

fof(f2540,plain,
    ( c1_1(a336)
    | c0_1(a336)
    | ~ spl0_11
    | spl0_12
    | ~ spl0_87
    | ~ spl0_103 ),
    inference(resolution,[],[f983,f2466]) ).

fof(f2544,plain,
    ( c1_1(a301)
    | c0_1(a301)
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(resolution,[],[f983,f2351]) ).

fof(f2545,plain,
    ( c0_1(a301)
    | ~ spl0_43
    | spl0_44
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f2544,f397]) ).

fof(f2547,plain,
    ( c0_1(a336)
    | ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_87
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2540,f775]) ).

fof(f2548,plain,
    ( $false
    | ~ spl0_43
    | spl0_44
    | spl0_75
    | ~ spl0_87
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2545,f2497]) ).

fof(f2549,plain,
    ( ~ spl0_43
    | spl0_44
    | spl0_75
    | ~ spl0_87
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2548]) ).

fof(f2550,plain,
    ( $false
    | ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_87
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2547,f253]) ).

fof(f2551,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_87
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f2550]) ).

fof(f2593,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_90
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1631,f1149]) ).

fof(f2594,plain,
    ( spl0_122
    | ~ spl0_90
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2593,f1630,f1148,f1931]) ).

cnf(s202,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f209]) ).

cnf(s223,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s227,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s231,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s243,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s251,plain,
    ( ~ spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s255,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s259,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s263,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s267,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s275,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s287,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s291,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s295,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s299,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s303,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s307,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s310,plain,
    ( spl0_1
    | spl0_21 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s349,plain,
    ( spl0_1
    | spl0_29
    | spl0_31 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s356,plain,
    ( ~ spl0_29
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s373,plain,
    ( spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s377,plain,
    ( ~ spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s545,plain,
    ( ~ spl0_43
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s553,plain,
    ( ~ spl0_29
    | spl0_30
    | spl0_31
    | spl0_33
    | spl0_59 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s583,plain,
    ( ~ spl0_53
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s587,plain,
    ( ~ spl0_53
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s620,plain,
    ( ~ spl0_1
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s626,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_11
    | spl0_78 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s635,plain,
    ( ~ spl0_11
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s751,plain,
    ( spl0_27
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s794,plain,
    ( ~ spl0_37
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s802,plain,
    ( spl0_21
    | spl0_51
    | spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s806,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s807,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_21
    | spl0_79
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s811,plain,
    ( ~ spl0_11
    | spl0_79
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s826,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s830,plain,
    ( spl0_21
    | spl0_81
    | spl0_89 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s833,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s862,plain,
    ( spl0_21
    | ~ spl0_27
    | spl0_28
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s877,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_81
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s931,plain,
    ( spl0_15
    | spl0_29
    | ~ spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s959,plain,
    ( spl0_47
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s1000,plain,
    ( spl0_47
    | spl0_80
    | ~ spl0_89
    | spl0_96 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s1004,plain,
    ( ~ spl0_13
    | spl0_14
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1229]) ).

cnf(s1008,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s1023,plain,
    ( spl0_13
    | spl0_31
    | ~ spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s1092,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1343]) ).

cnf(s1121,plain,
    ( spl0_13
    | spl0_31
    | spl0_51
    | spl0_97
    | spl0_99 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s1125,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s1156,plain,
    ( ~ spl0_45
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1411]) ).

cnf(s1160,plain,
    ( ~ spl0_45
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s1165,plain,
    ( spl0_81
    | spl0_102 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s1175,plain,
    ( ~ spl0_31
    | spl0_32
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s1232,plain,
    ( spl0_51
    | spl0_87
    | spl0_99 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s1239,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_81
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s1269,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_81
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s1304,plain,
    ( spl0_37
    | spl0_43
    | spl0_90 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s1326,plain,
    ( spl0_46
    | spl0_100
    | spl0_101
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s1334,plain,
    ( ~ spl0_25
    | spl0_26
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s1336,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_81
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s1415,plain,
    ( spl0_53
    | spl0_102
    | spl0_116 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s1419,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_81
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s1420,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1791]) ).

cnf(s1428,plain,
    ( spl0_112
    | spl0_114
    | spl0_117 ),
    inference(sat_conversion,[],[f1795]) ).

cnf(s1432,plain,
    ( spl0_54
    | spl0_76
    | spl0_77
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s1466,plain,
    ( ~ spl0_33
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s1467,plain,
    ( ~ spl0_31
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s1511,plain,
    ( spl0_25
    | spl0_64
    | spl0_109
    | spl0_118 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s1562,plain,
    ( spl0_31
    | spl0_33
    | spl0_103 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s1569,plain,
    ( ~ spl0_81
    | ~ spl0_103
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s1578,plain,
    ( ~ spl0_103
    | spl0_112
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1954]) ).

cnf(s1610,plain,
    ( ~ spl0_51
    | spl0_52
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s1619,plain,
    ( ~ spl0_21
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s1625,plain,
    ( spl0_54
    | spl0_76
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2048]) ).

cnf(s1626,plain,
    ( spl0_46
    | spl0_101
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s1630,plain,
    ( spl0_30
    | spl0_59
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s1641,plain,
    ( ~ spl0_49
    | spl0_50
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2064]) ).

cnf(s1642,plain,
    ( spl0_34
    | ~ spl0_94
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s1722,plain,
    ( spl0_25
    | spl0_53
    | ~ spl0_81
    | spl0_123 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s1764,plain,
    ( spl0_49
    | spl0_53
    | spl0_116 ),
    inference(sat_conversion,[],[f2167]) ).

cnf(s1772,plain,
    ( spl0_29
    | spl0_94
    | ~ spl0_122
    | spl0_129 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s1778,plain,
    ( spl0_2
    | spl0_78
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s1792,plain,
    ( ~ spl0_33
    | spl0_126 ),
    inference(sat_conversion,[],[f2202]) ).

cnf(s1799,plain,
    ( ~ spl0_29
    | spl0_130 ),
    inference(sat_conversion,[],[f2207]) ).

cnf(s1817,plain,
    ( spl0_90
    | ~ spl0_102
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s1821,plain,
    ( spl0_45
    | spl0_128
    | spl0_131 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s1824,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s1825,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2259]) ).

cnf(s1837,plain,
    ( spl0_53
    | spl0_80
    | ~ spl0_90
    | spl0_122 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s1936,plain,
    ( spl0_30
    | spl0_59
    | ~ spl0_102
    | ~ spl0_112
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s1998,plain,
    ( spl0_54
    | ~ spl0_76
    | ~ spl0_87
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2411]) ).

cnf(s2016,plain,
    ( ~ spl0_33
    | ~ spl0_102
    | ~ spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f2422]) ).

cnf(s2043,plain,
    ( spl0_34
    | ~ spl0_114
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s2094,plain,
    ( spl0_47
    | spl0_80
    | spl0_96
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f2477]) ).

cnf(s2107,plain,
    ( spl0_31
    | spl0_81
    | spl0_135 ),
    inference(sat_conversion,[],[f2486]) ).

cnf(s2113,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_91
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2504]) ).

cnf(s2153,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_114
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2530]) ).

cnf(s2185,plain,
    ( ~ spl0_43
    | spl0_44
    | spl0_75
    | ~ spl0_87
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f2549]) ).

cnf(s2187,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_79
    | ~ spl0_87
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f2551]) ).

cnf(s2224,plain,
    ( ~ spl0_90
    | ~ spl0_112
    | spl0_122 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s2227,plain,
    ( spl0_31
    | spl0_13
    | spl0_99
    | spl0_97 ),
    inference(rat,[],[s1023,s303,s1121]) ).

cnf(s2228,plain,
    ( ~ spl0_25
    | ~ spl0_114 ),
    inference(rat,[],[s1334,s251]) ).

cnf(s2229,plain,
    ( ~ spl0_27
    | spl0_128
    | spl0_117
    | ~ spl0_81
    | spl0_118 ),
    inference(rat,[],[s1336,s373,s377,s1511,s2228,s1428,s1269,s1326,s291,s1156,s1160,s1821,s1825,s255]) ).

cnf(s2230,plain,
    ( ~ spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s751,s826,s877,s2229,s1610,s1432,s303,s307,s583,s587,s1232,s1415,s1239,s1419,s1165,s1175,s263,s1467,s1125,s243]) ).

cnf(s2231,plain,
    ( spl0_53
    | ~ spl0_81
    | spl0_1 ),
    inference(rat,[],[s1817,s1415,s1837,s1004,s227,s2227,s1092,s1630,s1419,s2229,s751,s826,s877,s1610,s303,s1232,s1239,s1125,s243,s1466,s553,s259,s356,s349,s2230,s310]) ).

cnf(s2232,plain,
    ( ~ spl0_81
    | spl0_1 ),
    inference(rat,[],[s1432,s307,s583,s587,s2231,s2229,s751,s826,s877,s1610,s303,s1232,s1239,s1125,s243,s1466,s553,s259,s356,s349,s2230,s310]) ).

cnf(s2233,plain,
    spl0_1,
    inference(rat,[],[s1432,s307,s583,s587,s1837,s1817,s1428,s2043,s1936,s2016,s1165,s2232,s267,s1792,s553,s1630,s1004,s259,s356,s1799,s227,s349,s2227,s2230,s1092,s1125,s243,s310]) ).

cnf(s2234,plain,
    ~ spl0_78,
    inference(rat,[],[s620,s2233]) ).

cnf(s2235,plain,
    ~ spl0_2,
    inference(rat,[],[s202,s2233]) ).

cnf(s2237,plain,
    ~ spl0_129,
    inference(rat,[],[s1778,s2235,s2234]) ).

cnf(s2240,plain,
    spl0_11,
    inference(rat,[],[s626,s2234,s2233,s2235]) ).

cnf(s2242,plain,
    ~ spl0_79,
    inference(rat,[],[s635,s2240]) ).

cnf(s2243,plain,
    ~ spl0_12,
    inference(rat,[],[s223,s2240]) ).

cnf(s2244,plain,
    ~ spl0_88,
    inference(rat,[],[s811,s2240,s2242]) ).

cnf(s2245,plain,
    ~ spl0_116,
    inference(rat,[],[s1420,s2242,s2240,s2243]) ).

cnf(s2246,plain,
    ~ spl0_96,
    inference(rat,[],[s1008,s2240,s2243]) ).

cnf(s2247,plain,
    ( ~ spl0_21
    | spl0_13
    | spl0_99 ),
    inference(rat,[],[s2227,s1092,s2230,s243]) ).

cnf(s2248,plain,
    ( spl0_21
    | spl0_99
    | ~ spl0_81 ),
    inference(rat,[],[s862,s255,s751,s826,s877,s303,s1232,s807,s2240,s2242,s2243]) ).

cnf(s2249,plain,
    ( ~ spl0_103
    | spl0_122
    | spl0_99
    | ~ spl0_81 ),
    inference(rat,[],[s1578,s1569,s1619,s1326,s1156,s1160,s291,s1821,s1825,s255,s751,s826,s877,s1610,s303,s1232,s1239,s243,s2248]) ).

cnf(s2251,plain,
    ( spl0_53
    | spl0_99
    | ~ spl0_81 ),
    inference(rat,[],[s1428,s1817,s2228,s1415,s1722,s1837,s1619,s1004,s227,s2247,s1326,s1156,s1626,s291,s1160,s1821,s1825,s255,s751,s826,s877,s1610,s303,s1232,s1239,s243,s2248,s2245]) ).

cnf(s2252,plain,
    ( spl0_99
    | ~ spl0_81 ),
    inference(rat,[],[s1432,s307,s583,s587,s2229,s2251,s1466,s1562,s2249,s1626,s291,s1160,s1821,s1825,s255,s751,s826,s877,s1610,s303,s1232,s1239,s2230,s243,s2248]) ).

cnf(s2253,plain,
    ( ~ spl0_21
    | ~ spl0_99 ),
    inference(rat,[],[s1125,s243]) ).

cnf(s2254,plain,
    ~ spl0_81,
    inference(rat,[],[s862,s255,s751,s826,s877,s303,s802,s807,s2253,s2252,s2244,s2240,s2242,s2243]) ).

cnf(s2255,plain,
    spl0_102,
    inference(rat,[],[s1165,s2254]) ).

cnf(s2256,plain,
    ( ~ spl0_33
    | ~ spl0_114 ),
    inference(rat,[],[s2043,s2016,s267,s1792,s2255]) ).

cnf(s2257,plain,
    ( ~ spl0_29
    | spl0_33
    | spl0_31 ),
    inference(rat,[],[s553,s259,s356]) ).

cnf(s2258,plain,
    ( ~ spl0_51
    | spl0_117
    | spl0_31
    | spl0_131 ),
    inference(rat,[],[s2153,s231,s931,s2257,s2256,s1428,s1326,s291,s1156,s1160,s1821,s1610,s303,s2107,s2254]) ).

cnf(s2260,plain,
    ( ~ spl0_43
    | ~ spl0_87
    | ~ spl0_135 ),
    inference(rat,[],[s2185,s287,s545]) ).

cnf(s2261,plain,
    ( spl0_117
    | spl0_122
    | spl0_31
    | spl0_131
    | spl0_99 ),
    inference(rat,[],[s806,s275,s794,s1304,s2260,s2224,s1428,s2256,s1562,s2187,s1232,s2258,s2107,s2240,s2242,s2243,s2254]) ).

cnf(s2262,plain,
    ( spl0_76
    | spl0_54
    | ~ spl0_21
    | spl0_131
    | spl0_99 ),
    inference(rat,[],[s1837,s587,s1817,s1432,s2261,s1625,s2230,s1004,s227,s2247,s2255]) ).

cnf(s2263,plain,
    ( spl0_117
    | ~ spl0_76
    | spl0_54
    | spl0_31
    | spl0_131
    | spl0_99 ),
    inference(rat,[],[s1936,s1428,s259,s356,s1799,s1998,s1772,s1232,s2261,s2258,s1641,s299,s1764,s583,s2255,s2237,s2245]) ).

cnf(s2264,plain,
    ( ~ spl0_122
    | spl0_94 ),
    inference(rat,[],[s1630,s259,s356,s1772,s2237]) ).

cnf(s2265,plain,
    ( spl0_54
    | ~ spl0_21
    | spl0_131
    | spl0_99 ),
    inference(rat,[],[s2264,s1837,s1817,s2263,s1641,s299,s1764,s583,s2262,s2230,s1004,s227,s2247,s2255,s2245]) ).

cnf(s2266,plain,
    ( ~ spl0_21
    | spl0_131
    | spl0_99 ),
    inference(rat,[],[s1817,s1837,s2261,s2264,s1641,s299,s1764,s307,s2265,s1004,s227,s2247,s2230,s2255,s2245]) ).

cnf(s2267,plain,
    ~ spl0_31,
    inference(rat,[],[s1175,s263,s2255]) ).

cnf(s2268,plain,
    spl0_135,
    inference(rat,[],[s2107,s2254,s2267]) ).

cnf(s2269,plain,
    ( spl0_80
    | ~ spl0_89 ),
    inference(rat,[],[s833,s295,s1000,s2246]) ).

cnf(s2271,plain,
    ( ~ spl0_47
    | ~ spl0_131 ),
    inference(rat,[],[s1824,s295,s2255]) ).

cnf(s2273,plain,
    ( ~ spl0_29
    | ~ spl0_112 ),
    inference(rat,[],[s1936,s259,s356,s1799,s2255]) ).

cnf(s2274,plain,
    ( ~ spl0_15
    | ~ spl0_91 ),
    inference(rat,[],[s2113,s231,s2268]) ).

cnf(s2275,plain,
    ( ~ spl0_51
    | spl0_15
    | spl0_29 ),
    inference(rat,[],[s931,s303]) ).

cnf(s2276,plain,
    ( ~ spl0_21
    | spl0_117
    | spl0_99 ),
    inference(rat,[],[s806,s275,s794,s1304,s2260,s1232,s2275,s2274,s2273,s959,s2224,s2264,s1428,s1642,s2256,s267,s1792,s1562,s2094,s2271,s1004,s227,s2266,s2247,s2268,s2267,s2246,s2255]) ).

cnf(s2277,plain,
    ( spl0_21
    | spl0_99 ),
    inference(rat,[],[s1004,s227,s1023,s303,s2269,s1232,s830,s807,s2267,s2254,s2240,s2242,s2243]) ).

cnf(s2278,plain,
    ( ~ spl0_21
    | spl0_99 ),
    inference(rat,[],[s1432,s307,s583,s587,s1837,s2264,s1642,s267,s1792,s1562,s2094,s1004,s1817,s2271,s227,s2276,s2266,s2247,s2255,s2246,s2267]) ).

cnf(s2279,plain,
    spl0_99,
    inference(rat,[],[s2278,s2277]) ).

cnf(s2280,plain,
    ~ spl0_21,
    inference(rat,[],[s2253,s2279]) ).

cnf(s2281,plain,
    ~ spl0_87,
    inference(rat,[],[s807,s2243,s2242,s2240,s2280]) ).

cnf(s2282,plain,
    spl0_89,
    inference(rat,[],[s830,s2254,s2280]) ).

cnf(s2284,plain,
    spl0_51,
    inference(rat,[],[s802,s2244,s2280,s2281]) ).

cnf(s2285,plain,
    spl0_80,
    inference(rat,[],[s2269,s2282]) ).

cnf(s2286,plain,
    ~ spl0_52,
    inference(rat,[],[s303,s2284]) ).

cnf(s2288,plain,
    spl0_13,
    inference(rat,[],[s1023,s2267,s2284,s2286]) ).

cnf(s2290,plain,
    ~ spl0_14,
    inference(rat,[],[s227,s2288]) ).

cnf(s2291,plain,
    $false,
    inference(rat,[],[s1004,s2285,s2288,s2290]) ).

fof(f2595,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2291]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN445-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16  % Computer : n017.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.16  % CPULimit : 300
% 0.10/0.16  % WCLimit  : 300
% 0.10/0.16  % DateTime : Mon Sep 28 15:59:25 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  Running first-order model finding
% 0.10/0.19  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26  % (3671314)Will run a generic schedule for satisfiability detection.
% 0.10/0.26  % (3671321)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2833371724:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.26  % (3671319)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1183940635_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.26  % (3671322)dis+10_1_sil=32000:sp=arity:random_seed=2791241059:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.26  % (3671323)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=717943320:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.26  % (3671324)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=461440160:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.26  % (3671325)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1428659192:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.26  % (3671320)% WARNING: option uhcvi not known.
% 0.10/0.26  % Detected minimum model sizes of [1]
% 0.10/0.26  % Detected maximum model sizes of [30]
% 0.10/0.26  % TRYING [1]
% 0.10/0.26  % TRYING [2]
% 0.10/0.26  % (3671320)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3965360724:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.26  % TRYING [3]
% 0.10/0.26  % TRYING [4]
% 0.10/0.26  % (3671321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3671314-3671321"...
% 0.10/0.26  % (3671321)...printing done.
% 0.10/0.26  % (3671321)Refutation found. Thanks to Tanya!
% 0.10/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.28  % (3671321)------------------------------
% 0.48/0.28  % (3671321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.28  % (3671321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.28  % (3671321)CaDiCaL version: 2.1.3
% 0.48/0.28  % (3671321)Termination reason: Refutation
% 0.48/0.28  % (3671321)Time elapsed: 0.029 s
% 0.48/0.28  % (3671321)Peak memory usage: 13 MB
% 0.48/0.28  % (3671321)Instructions burned: 74 (million)
% 0.48/0.28  % (3671314)Success in time 0.067 s
% 0.48/0.28  % Vampire exiting
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