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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN469-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:34 PM UTC 2026

% Result   : Unsatisfiable 2.94s 1.12s
% Output   : Refutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  234
% Syntax   : Number of formulae    :  817 (  24 unt; 128 def)
%            Number of atoms       : 2621 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3166 (1362   ~;1676   |;   0   &)
%                                         ( 128 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  157 ( 156 usr; 153 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  144 (   0 sgn 144   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f5,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f8,negated_conjecture,
    ( ~ hskp21
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f30,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f31,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp18
    | hskp20
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( ~ hskp28
    | c0_1(a414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( ~ hskp28
    | c2_1(a414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( ~ hskp28
    | c3_1(a414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp27
    | c0_1(a412) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp27
    | c1_1(a412) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp27
    | c2_1(a412) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f43,negated_conjecture,
    ( ~ hskp25
    | c0_1(a405) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp25
    | c1_1(a405) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp25
    | c3_1(a405) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f47,negated_conjecture,
    ( ~ hskp23
    | c1_1(a460) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp22
    | c0_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp22
    | c2_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp20
    | c1_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp20
    | c3_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f54,negated_conjecture,
    ( ~ hskp18
    | c0_1(a440) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp16
    | c1_1(a434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp15
    | c0_1(a430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp15
    | c2_1(a430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp14
    | c2_1(a428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp13
    | c1_1(a427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp13
    | c2_1(a427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp12
    | c0_1(a426) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp12
    | c1_1(a426) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f64,negated_conjecture,
    ( ~ hskp9
    | c3_1(a416) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f66,negated_conjecture,
    ( ~ hskp8
    | c3_1(a415) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp7
    | c0_1(a410) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f71,negated_conjecture,
    ( ~ hskp4
    | c0_1(a404) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp4
    | c3_1(a404) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp2
    | c0_1(a402) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp1
    | c0_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp1
    | c1_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp0
    | c1_1(a400) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp0
    | c2_1(a400) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f80,negated_conjecture,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ c3_1(a460)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c1_1(a451)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f86,negated_conjecture,
    ( ~ c2_1(a449)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f88,negated_conjecture,
    ( ~ c2_1(a440)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c3_1(a440)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a434)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a430)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a428)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a428)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a420)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a420)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c2_1(a420)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a415)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a410)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a410)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a403)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a403)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a402)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a400)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f125,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp18
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp12
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp27
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp16
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp27
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp7
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp25
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp2
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp4
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

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

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f180,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f186,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f188,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f189,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f191,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f194,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f195,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f196,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f183,f194,f191,f188,f185]) ).

fof(f198,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f206,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f182,f204,f191,f201,f198]) ).

fof(f208,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f211,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f216,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f181,f214,f191,f211,f208]) ).

fof(f218,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f223,plain,
    ( spl0_11
    | spl0_6
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f180,f221,f191,f201,f218]) ).

fof(f225,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f228,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f232,definition,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( spl0_15
    | spl0_1
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f178,f235,f191,f185,f232]) ).

fof(f239,definition,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f242,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f244,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f177,f218,f191,f242,f239]) ).

fof(f246,definition,
    ( spl0_19
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f249,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f251,plain,
    ( spl0_19
    | spl0_15
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f176,f249,f191,f232,f246]) ).

fof(f253,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f256,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f260,definition,
    ( spl0_23
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f264,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f265,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f174,f214,f191,f263,f260]) ).

fof(f267,definition,
    ( spl0_25
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f269,plain,
    ( spl0_25
    | spl0_20
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f173,f214,f191,f249,f267]) ).

fof(f275,definition,
    ( spl0_27
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f279,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f285,definition,
    ( spl0_30
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f287,plain,
    ( spl0_30
    | spl0_14
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f170,f211,f191,f228,f285]) ).

fof(f289,definition,
    ( spl0_31
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_32
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f293,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f294,plain,
    ( spl0_31
    | spl0_12
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f169,f292,f191,f221,f289]) ).

fof(f296,definition,
    ( spl0_33
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_34
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl0_34
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f167,f235,f191,f300]) ).

fof(f304,definition,
    ( spl0_35
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f306,plain,
    ( spl0_35
    | spl0_5
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f166,f278,f191,f198,f304]) ).

fof(f308,definition,
    ( spl0_36
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f310,plain,
    ( spl0_36
    | spl0_18
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f165,f292,f191,f242,f308]) ).

fof(f311,plain,
    ( spl0_35
    | spl0_18
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f164,f228,f191,f242,f304]) ).

fof(f316,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f317,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f320,plain,
    ( spl0_33
    | spl0_17
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f161,f211,f191,f239,f296]) ).

fof(f321,plain,
    ( spl0_22
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f160,f211,f191,f256]) ).

fof(f323,definition,
    ( spl0_39
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f325,plain,
    ( spl0_39
    | spl0_18
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f159,f249,f191,f242,f323]) ).

fof(f327,definition,
    ( spl0_40
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f329,plain,
    ( spl0_40
    | spl0_18
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f158,f256,f191,f242,f327]) ).

fof(f330,plain,
    ( spl0_27
    | spl0_18
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f157,f185,f191,f242,f275]) ).

fof(f336,definition,
    ( spl0_42
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f338,plain,
    ( spl0_42
    | spl0_13
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f155,f218,f191,f225,f336]) ).

fof(f340,definition,
    ( spl0_43
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f342,plain,
    ( spl0_43
    | spl0_17
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f154,f249,f191,f239,f340]) ).

fof(f349,definition,
    ( spl0_45
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f351,plain,
    ( spl0_23
    | spl0_21
    | ~ spl0_3
    | spl0_45 ),
    inference(avatar_split_clause,[],[f151,f349,f191,f253,f260]) ).

fof(f353,definition,
    ( spl0_46
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f356,plain,
    ( spl0_27
    | spl0_33
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f149,f214,f191,f296,f275]) ).

fof(f359,definition,
    ( spl0_47
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f370,plain,
    ( spl0_39
    | spl0_49
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f144,f292,f191,f368,f323]) ).

fof(f372,definition,
    ( spl0_50
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f374,plain,
    ( spl0_42
    | spl0_50
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f143,f292,f191,f372,f336]) ).

fof(f376,definition,
    ( spl0_51
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f379,definition,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( spl0_51
    | spl0_43
    | ~ spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f142,f379,f191,f340,f376]) ).

fof(f384,definition,
    ( spl0_53
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_54
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f389,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f140,f188,f191,f387,f384]) ).

fof(f391,definition,
    ( spl0_55
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f395,plain,
    ( spl0_23
    | spl0_51
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f137,f300,f191,f376,f260]) ).

fof(f396,plain,
    ( spl0_27
    | spl0_54
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f136,f300,f191,f387,f275]) ).

fof(f398,definition,
    ( spl0_56
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f401,plain,
    ( spl0_25
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f134,f211,f191,f267]) ).

fof(f402,plain,
    ( spl0_43
    | spl0_49
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f133,f249,f191,f368,f340]) ).

fof(f404,plain,
    ( spl0_30
    | spl0_49
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f131,f221,f191,f368,f285]) ).

fof(f405,plain,
    ( spl0_35
    | spl0_40
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f130,f278,f191,f327,f304]) ).

fof(f407,definition,
    ( spl0_57
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f409,plain,
    ( spl0_23
    | spl0_57
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f129,f218,f191,f407,f260]) ).

fof(f417,definition,
    ( spl0_59
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f419,plain,
    ( spl0_27
    | spl0_59
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f125,f225,f191,f417,f275]) ).

fof(f425,plain,
    ( spl0_46
    | spl0_54
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f122,f191,f246,f387,f353]) ).

fof(f426,plain,
    ( spl0_49
    | spl0_35
    | spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f121,f191,f208,f304,f368]) ).

fof(f429,definition,
    ( spl0_61
  <=> c3_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f431,plain,
    ( ~ spl0_46
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f120,f429,f353]) ).

fof(f434,definition,
    ( spl0_62
  <=> c3_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f436,plain,
    ( ~ spl0_35
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f119,f434,f304]) ).

fof(f439,definition,
    ( spl0_63
  <=> c2_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f441,plain,
    ( ~ spl0_49
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f118,f439,f368]) ).

fof(f443,definition,
    ( spl0_64
  <=> c1_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f444,plain,
    ( ~ c1_1(a402)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f445,plain,
    ( ~ spl0_49
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f117,f443,f368]) ).

fof(f448,definition,
    ( spl0_65
  <=> c3_1(a403) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f450,plain,
    ( ~ spl0_23
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f116,f448,f260]) ).

fof(f452,definition,
    ( spl0_66
  <=> c2_1(a403) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f454,plain,
    ( ~ spl0_23
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f115,f452,f260]) ).

fof(f456,definition,
    ( spl0_67
  <=> c0_1(a403) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f457,plain,
    ( ~ c0_1(a403)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( ~ spl0_23
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f114,f456,f260]) ).

fof(f461,definition,
    ( spl0_68
  <=> c2_1(a404) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f463,plain,
    ( ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f113,f461,f296]) ).

fof(f480,definition,
    ( spl0_72
  <=> c3_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ spl0_43
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f109,f480,f340]) ).

fof(f484,definition,
    ( spl0_73
  <=> c1_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ c1_1(a410)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( ~ spl0_43
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f108,f484,f340]) ).

fof(f489,definition,
    ( spl0_74
  <=> c1_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ c1_1(a415)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( ~ spl0_59
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f107,f489,f417]) ).

fof(f494,definition,
    ( spl0_75
  <=> c1_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f495,plain,
    ( ~ c1_1(a416)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f496,plain,
    ( ~ spl0_27
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f106,f494,f275]) ).

fof(f498,definition,
    ( spl0_76
  <=> c0_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c0_1(a416)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( ~ spl0_27
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f105,f498,f275]) ).

fof(f512,definition,
    ( spl0_79
  <=> c2_1(a420) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ spl0_30
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f102,f512,f285]) ).

fof(f516,definition,
    ( spl0_80
  <=> c1_1(a420) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f517,plain,
    ( ~ c1_1(a420)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( ~ spl0_30
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f101,f516,f285]) ).

fof(f520,definition,
    ( spl0_81
  <=> c0_1(a420) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ spl0_30
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f100,f520,f285]) ).

fof(f525,definition,
    ( spl0_82
  <=> c2_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ spl0_40
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f99,f525,f327]) ).

fof(f530,definition,
    ( spl0_83
  <=> c0_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ c0_1(a427)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f532,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f98,f530,f323]) ).

fof(f535,definition,
    ( spl0_84
  <=> c1_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ c1_1(a428)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f97,f535,f308]) ).

fof(f539,definition,
    ( spl0_85
  <=> c0_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c0_1(a428)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( ~ spl0_36
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f96,f539,f308]) ).

fof(f544,definition,
    ( spl0_86
  <=> c3_1(a430) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f546,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f95,f544,f398]) ).

fof(f549,definition,
    ( spl0_87
  <=> c3_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f551,plain,
    ( ~ spl0_51
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f94,f549,f376]) ).

fof(f553,definition,
    ( spl0_88
  <=> c0_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ c0_1(a434)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( ~ spl0_51
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f93,f553,f376]) ).

fof(f571,definition,
    ( spl0_92
  <=> c3_1(a440) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_57
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f89,f571,f407]) ).

fof(f575,definition,
    ( spl0_93
  <=> c2_1(a440) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ spl0_57
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f88,f575,f407]) ).

fof(f585,definition,
    ( spl0_95
  <=> c2_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ spl0_25
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f86,f585,f267]) ).

fof(f603,definition,
    ( spl0_99
  <=> c1_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ c1_1(a451)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( ~ spl0_31
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f82,f603,f289]) ).

fof(f608,definition,
    ( spl0_100
  <=> c3_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f610,plain,
    ( ~ spl0_53
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f81,f608,f384]) ).

fof(f612,definition,
    ( spl0_101
  <=> c2_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ spl0_53
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f80,f612,f384]) ).

fof(f625,definition,
    ( spl0_104
  <=> c2_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f627,plain,
    ( spl0_104
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f77,f353,f625]) ).

fof(f629,definition,
    ( spl0_105
  <=> c1_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f630,plain,
    ( c1_1(a400)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( spl0_105
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f76,f353,f629]) ).

fof(f633,definition,
    ( spl0_106
  <=> c1_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f634,plain,
    ( c1_1(a401)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f635,plain,
    ( spl0_106
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f75,f304,f633]) ).

fof(f637,definition,
    ( spl0_107
  <=> c0_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f639,plain,
    ( spl0_107
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f74,f304,f637]) ).

fof(f641,definition,
    ( spl0_108
  <=> c0_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f642,plain,
    ( c0_1(a402)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( spl0_108
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f73,f368,f641]) ).

fof(f645,definition,
    ( spl0_109
  <=> c3_1(a404) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f647,plain,
    ( spl0_109
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f72,f296,f645]) ).

fof(f649,definition,
    ( spl0_110
  <=> c0_1(a404) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f650,plain,
    ( c0_1(a404)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f651,plain,
    ( spl0_110
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f71,f296,f649]) ).

fof(f665,definition,
    ( spl0_114
  <=> c0_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f666,plain,
    ( c0_1(a410)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_114
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f67,f340,f665]) ).

fof(f669,definition,
    ( spl0_115
  <=> c3_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_115
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f66,f417,f669]) ).

fof(f677,definition,
    ( spl0_117
  <=> c3_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f679,plain,
    ( spl0_117
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f64,f275,f677]) ).

fof(f685,definition,
    ( spl0_119
  <=> c1_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f686,plain,
    ( c1_1(a426)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_119
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f62,f327,f685]) ).

fof(f689,definition,
    ( spl0_120
  <=> c0_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_120
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f61,f327,f689]) ).

fof(f693,definition,
    ( spl0_121
  <=> c2_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f695,plain,
    ( spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f60,f323,f693]) ).

fof(f697,definition,
    ( spl0_122
  <=> c1_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f698,plain,
    ( c1_1(a427)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_122
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f59,f323,f697]) ).

fof(f701,definition,
    ( spl0_123
  <=> c2_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f703,plain,
    ( spl0_123
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f58,f308,f701]) ).

fof(f705,definition,
    ( spl0_124
  <=> c2_1(a430) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f707,plain,
    ( spl0_124
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f57,f398,f705]) ).

fof(f709,definition,
    ( spl0_125
  <=> c0_1(a430) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f710,plain,
    ( c0_1(a430)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( spl0_125
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f56,f398,f709]) ).

fof(f713,definition,
    ( spl0_126
  <=> c1_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f714,plain,
    ( c1_1(a434)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( spl0_126
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f55,f376,f713]) ).

fof(f717,definition,
    ( spl0_127
  <=> c0_1(a440) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f718,plain,
    ( c0_1(a440)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( spl0_127
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f54,f407,f717]) ).

fof(f729,definition,
    ( spl0_130
  <=> c3_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f731,plain,
    ( spl0_130
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f51,f267,f729]) ).

fof(f733,definition,
    ( spl0_131
  <=> c1_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f734,plain,
    ( c1_1(a449)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_131
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f50,f267,f733]) ).

fof(f737,definition,
    ( spl0_132
  <=> c2_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f739,plain,
    ( spl0_132
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f49,f289,f737]) ).

fof(f741,definition,
    ( spl0_133
  <=> c0_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f742,plain,
    ( c0_1(a451)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( spl0_133
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f48,f289,f741]) ).

fof(f745,definition,
    ( spl0_134
  <=> c1_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f746,plain,
    ( c1_1(a460)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f747,plain,
    ( spl0_134
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f47,f384,f745]) ).

fof(f753,definition,
    ( spl0_136
  <=> c3_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_136
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f45,f372,f753]) ).

fof(f758,definition,
    ( spl0_137
  <=> c1_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f759,plain,
    ( c1_1(a405)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f760,plain,
    ( spl0_137
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f44,f372,f758]) ).

fof(f762,definition,
    ( spl0_138
  <=> c0_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f763,plain,
    ( c0_1(a405)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f764,plain,
    ( spl0_138
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f43,f372,f762]) ).

fof(f779,definition,
    ( spl0_142
  <=> c2_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f782,plain,
    ( spl0_142
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f39,f387,f779]) ).

fof(f784,definition,
    ( spl0_143
  <=> c1_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f785,plain,
    ( c1_1(a412)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f786,plain,
    ( spl0_143
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f38,f387,f784]) ).

fof(f788,definition,
    ( spl0_144
  <=> c0_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f789,plain,
    ( c0_1(a412)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f790,plain,
    ( spl0_144
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f37,f387,f788]) ).

fof(f792,definition,
    ( spl0_145
  <=> c3_1(a414) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f795,plain,
    ( spl0_145
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f36,f336,f792]) ).

fof(f797,definition,
    ( spl0_146
  <=> c2_1(a414) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_146
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f35,f336,f797]) ).

fof(f801,definition,
    ( spl0_147
  <=> c0_1(a414) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f802,plain,
    ( c0_1(a414)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f803,plain,
    ( spl0_147
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f34,f336,f801]) ).

fof(f805,plain,
    ( spl0_53
    | spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f32,f407,f267,f384]) ).

fof(f806,plain,
    ( spl0_23
    | spl0_43
    | spl0_56 ),
    inference(avatar_split_clause,[],[f31,f398,f340,f260]) ).

fof(f807,plain,
    ( spl0_55
    | spl0_47
    | spl0_50 ),
    inference(avatar_split_clause,[],[f30,f372,f359,f391]) ).

fof(f830,plain,
    ( spl0_3
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f8,f391,f191]) ).

fof(f833,plain,
    ( spl0_3
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f5,f359,f191]) ).

fof(f834,plain,
    ( spl0_3
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f4,f372,f191]) ).

fof(f838,plain,
    ( c2_1(a420)
    | c0_1(a420)
    | ~ spl0_8
    | spl0_80 ),
    inference(resolution,[],[f209,f517]) ).

fof(f854,plain,
    ( ~ c2_1(a401)
    | ~ c0_1(a401)
    | ~ spl0_4
    | ~ spl0_106 ),
    inference(resolution,[],[f634,f195]) ).

fof(f858,definition,
    ( spl0_149
  <=> c2_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f862,plain,
    ( ~ spl0_107
    | ~ spl0_149
    | ~ spl0_4
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f854,f633,f194,f858,f637]) ).

fof(f880,definition,
    ( spl0_151
  <=> c3_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(resolution,[],[f240,f226]) ).

fof(f915,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f906]) ).

fof(f916,plain,
    ( spl0_38
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f915,f239,f225,f316]) ).

fof(f936,plain,
    ( ~ c2_1(a400)
    | ~ c0_1(a400)
    | ~ spl0_4
    | ~ spl0_105 ),
    inference(resolution,[],[f630,f195]) ).

fof(f939,definition,
    ( spl0_152
  <=> c0_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f940,plain,
    ( ~ c0_1(a400)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f942,plain,
    ( ~ spl0_152
    | ~ spl0_104
    | ~ spl0_4
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f936,f629,f194,f625,f939]) ).

fof(f971,plain,
    ( c2_1(a449)
    | ~ c0_1(a449)
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(resolution,[],[f734,f189]) ).

fof(f973,definition,
    ( spl0_154
  <=> c0_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f977,plain,
    ( c0_1(a449)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f984,definition,
    ( spl0_155
  <=> c2_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f990,plain,
    ( ~ c2_1(a416)
    | ~ c3_1(a416)
    | ~ spl0_14
    | spl0_76 ),
    inference(resolution,[],[f499,f229]) ).

fof(f993,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(resolution,[],[f257,f199]) ).

fof(f999,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f993]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(resolution,[],[f279,f189]) ).

fof(f1019,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1014]) ).

fof(f1024,plain,
    ( spl0_12
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1019,f278,f188,f221]) ).

fof(f1038,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(resolution,[],[f212,f264]) ).

fof(f1039,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(resolution,[],[f212,f257]) ).

fof(f1044,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1039]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1038]) ).

fof(f1058,plain,
    ( c2_1(a460)
    | ~ c0_1(a460)
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(resolution,[],[f746,f189]) ).

fof(f1060,definition,
    ( spl0_156
  <=> c0_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1061,plain,
    ( ~ c0_1(a460)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1060]) ).

fof(f1063,plain,
    ( ~ spl0_156
    | spl0_101
    | ~ spl0_2
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1058,f745,f188,f612,f1060]) ).

fof(f1091,definition,
    ( spl0_157
  <=> c0_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1099,plain,
    ( spl0_81
    | spl0_79
    | ~ spl0_8
    | spl0_80 ),
    inference(avatar_split_clause,[],[f838,f516,f208,f512,f520]) ).

fof(f1112,plain,
    ( c3_1(a410)
    | ~ c0_1(a410)
    | ~ spl0_28
    | spl0_73 ),
    inference(resolution,[],[f485,f279]) ).

fof(f1115,definition,
    ( spl0_158
  <=> c2_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1122,plain,
    ( spl0_18
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f999,f256,f198,f242]) ).

fof(f1135,definition,
    ( spl0_159
  <=> c3_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1146,plain,
    ( c2_1(a426)
    | ~ c0_1(a426)
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(resolution,[],[f686,f189]) ).

fof(f1157,definition,
    ( spl0_160
  <=> c2_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1191,plain,
    ( c3_1(a401)
    | ~ c0_1(a401)
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(resolution,[],[f212,f634]) ).

fof(f1192,plain,
    ( c3_1(a400)
    | ~ c0_1(a400)
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(resolution,[],[f212,f630]) ).

fof(f1193,plain,
    ( ~ spl0_152
    | spl0_61
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1192,f629,f211,f429,f939]) ).

fof(f1194,plain,
    ( ~ spl0_107
    | spl0_62
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1191,f633,f211,f434,f637]) ).

fof(f1202,definition,
    ( spl0_162
  <=> c3_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1208,plain,
    ( ~ spl0_114
    | spl0_72
    | ~ spl0_28
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1112,f484,f278,f480,f665]) ).

fof(f1212,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1045,f263,f211,f204]) ).

fof(f1228,plain,
    ( ~ c2_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_6
    | spl0_99 ),
    inference(resolution,[],[f202,f604]) ).

fof(f1237,plain,
    ( ~ spl0_159
    | ~ spl0_132
    | ~ spl0_6
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1228,f603,f201,f737,f1135]) ).

fof(f1253,plain,
    ( c0_1(a400)
    | ~ c2_1(a400)
    | ~ spl0_5
    | ~ spl0_105 ),
    inference(resolution,[],[f199,f630]) ).

fof(f1319,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(resolution,[],[f236,f189]) ).

fof(f1320,plain,
    ( ~ c0_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_16
    | spl0_99 ),
    inference(resolution,[],[f236,f604]) ).

fof(f1324,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1319]) ).

fof(f1329,plain,
    ( ~ spl0_159
    | ~ spl0_133
    | ~ spl0_16
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1320,f603,f235,f741,f1135]) ).

fof(f1330,plain,
    ( spl0_52
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1324,f235,f188,f379]) ).

fof(f1355,plain,
    ( c3_1(a403)
    | c2_1(a403)
    | ~ spl0_19
    | spl0_67 ),
    inference(resolution,[],[f247,f457]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(resolution,[],[f250,f209]) ).

fof(f1370,plain,
    ( c3_1(a401)
    | c2_1(a401)
    | ~ spl0_20
    | ~ spl0_106 ),
    inference(resolution,[],[f250,f634]) ).

fof(f1371,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1363]) ).

fof(f1390,plain,
    ( c3_1(a400)
    | ~ c2_1(a400)
    | ~ spl0_18
    | spl0_152 ),
    inference(resolution,[],[f940,f243]) ).

fof(f1435,plain,
    ( c2_1(a449)
    | ~ c3_1(a449)
    | ~ spl0_32
    | ~ spl0_131 ),
    inference(resolution,[],[f293,f734]) ).

fof(f1445,plain,
    ( ~ spl0_130
    | spl0_95
    | ~ spl0_32
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1435,f733,f292,f585,f729]) ).

fof(f1454,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1044,f256,f211,f204]) ).

fof(f1458,plain,
    ( spl0_19
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1371,f249,f208,f246]) ).

fof(f1468,plain,
    ( c3_1(a428)
    | c0_1(a428)
    | ~ spl0_21
    | spl0_84 ),
    inference(resolution,[],[f536,f254]) ).

fof(f1474,definition,
    ( spl0_165
  <=> c3_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1491,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(resolution,[],[f186,f250]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1491]) ).

fof(f1528,plain,
    ( c2_1(a402)
    | ~ c0_1(a402)
    | ~ spl0_1
    | spl0_64 ),
    inference(resolution,[],[f444,f186]) ).

fof(f1529,plain,
    ( c3_1(a402)
    | ~ c0_1(a402)
    | ~ spl0_28
    | spl0_64 ),
    inference(resolution,[],[f444,f279]) ).

fof(f1533,plain,
    ( ~ spl0_108
    | spl0_63
    | ~ spl0_1
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1528,f443,f185,f439,f641]) ).

fof(f1542,plain,
    ( ~ spl0_104
    | spl0_152
    | ~ spl0_5
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1253,f629,f198,f939,f625]) ).

fof(f1543,plain,
    ( ~ spl0_104
    | spl0_61
    | ~ spl0_18
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1390,f939,f242,f429,f625]) ).

fof(f1546,plain,
    ( c3_1(a402)
    | c2_1(a402)
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(resolution,[],[f642,f222]) ).

fof(f1548,plain,
    ( c3_1(a412)
    | ~ c0_1(a412)
    | ~ spl0_9
    | ~ spl0_143 ),
    inference(resolution,[],[f785,f212]) ).

fof(f1561,plain,
    ( c0_1(a427)
    | ~ c2_1(a427)
    | ~ spl0_5
    | ~ spl0_122 ),
    inference(resolution,[],[f199,f698]) ).

fof(f1568,plain,
    ( ~ spl0_121
    | spl0_83
    | ~ spl0_5
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1561,f697,f198,f530,f693]) ).

fof(f1572,definition,
    ( spl0_166
  <=> c3_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1580,plain,
    ( ~ c2_1(a428)
    | ~ c3_1(a428)
    | ~ spl0_14
    | spl0_85 ),
    inference(resolution,[],[f229,f540]) ).

fof(f1593,plain,
    ( ~ spl0_165
    | ~ spl0_123
    | ~ spl0_14
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1580,f539,f228,f701,f1474]) ).

fof(f1600,plain,
    ( ~ c2_1(a416)
    | c0_1(a416)
    | ~ spl0_15
    | spl0_75 ),
    inference(resolution,[],[f233,f495]) ).

fof(f1605,plain,
    ( spl0_76
    | ~ spl0_155
    | ~ spl0_15
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1600,f494,f232,f984,f498]) ).

fof(f1611,plain,
    ( ~ c3_1(a416)
    | c0_1(a416)
    | ~ spl0_17
    | spl0_75 ),
    inference(resolution,[],[f240,f495]) ).

fof(f1612,plain,
    ( ~ c3_1(a415)
    | c0_1(a415)
    | ~ spl0_17
    | spl0_74 ),
    inference(resolution,[],[f240,f490]) ).

fof(f1615,plain,
    ( spl0_157
    | ~ spl0_115
    | ~ spl0_17
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1612,f489,f239,f669,f1091]) ).

fof(f1616,plain,
    ( spl0_76
    | ~ spl0_117
    | ~ spl0_17
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1611,f494,f239,f677,f498]) ).

fof(f1649,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(resolution,[],[f301,f209]) ).

fof(f1653,plain,
    ( c0_1(a449)
    | ~ c3_1(a449)
    | ~ spl0_34
    | ~ spl0_131 ),
    inference(resolution,[],[f301,f734]) ).

fof(f1655,plain,
    ( c0_1(a427)
    | ~ c3_1(a427)
    | ~ spl0_34
    | ~ spl0_122 ),
    inference(resolution,[],[f301,f698]) ).

fof(f1659,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1649]) ).

fof(f1665,plain,
    ( ~ spl0_166
    | spl0_83
    | ~ spl0_34
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1655,f697,f300,f530,f1572]) ).

fof(f1667,plain,
    ( ~ spl0_130
    | spl0_154
    | ~ spl0_34
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1653,f733,f300,f973,f729]) ).

fof(f1669,plain,
    ( spl0_38
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1659,f300,f208,f316]) ).

fof(f1672,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(resolution,[],[f195,f257]) ).

fof(f1677,plain,
    ( ~ c2_1(a412)
    | ~ c0_1(a412)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f195,f785]) ).

fof(f1679,plain,
    ( ~ c2_1(a405)
    | ~ c0_1(a405)
    | ~ spl0_4
    | ~ spl0_137 ),
    inference(resolution,[],[f195,f759]) ).

fof(f1688,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1672]) ).

fof(f1691,plain,
    ( ~ spl0_138
    | ~ spl0_160
    | ~ spl0_4
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1679,f758,f194,f1157,f762]) ).

fof(f1693,plain,
    ( ~ spl0_144
    | ~ spl0_142
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1677,f784,f194,f779,f788]) ).

fof(f1705,plain,
    ( spl0_66
    | spl0_65
    | ~ spl0_19
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1355,f456,f246,f448,f452]) ).

fof(f1717,plain,
    ( ~ c2_1(a427)
    | ~ c3_1(a427)
    | ~ spl0_14
    | spl0_83 ),
    inference(resolution,[],[f531,f229]) ).

fof(f1718,plain,
    ( ~ spl0_166
    | ~ spl0_121
    | ~ spl0_14
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1717,f530,f228,f693,f1572]) ).

fof(f1756,plain,
    ( c2_1(a402)
    | ~ c3_1(a402)
    | ~ spl0_11
    | spl0_64 ),
    inference(resolution,[],[f219,f444]) ).

fof(f1759,plain,
    ( ~ spl0_151
    | spl0_63
    | ~ spl0_11
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1756,f443,f218,f439,f880]) ).

fof(f1827,plain,
    ( spl0_7
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1688,f256,f194,f204]) ).

fof(f1842,plain,
    ( c3_1(a412)
    | ~ c2_1(a412)
    | ~ spl0_7
    | ~ spl0_144 ),
    inference(resolution,[],[f205,f789]) ).

fof(f1844,plain,
    ( c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_7
    | ~ spl0_133 ),
    inference(resolution,[],[f205,f742]) ).

fof(f1847,plain,
    ( c3_1(a430)
    | ~ c2_1(a430)
    | ~ spl0_7
    | ~ spl0_125 ),
    inference(resolution,[],[f205,f710]) ).

fof(f1850,plain,
    ( c3_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(resolution,[],[f205,f666]) ).

fof(f1861,plain,
    ( ~ spl0_132
    | spl0_159
    | ~ spl0_7
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1844,f741,f204,f1135,f737]) ).

fof(f1900,plain,
    ( c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_22
    | spl0_99 ),
    inference(resolution,[],[f257,f604]) ).

fof(f1901,plain,
    ( c3_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_22
    | spl0_73 ),
    inference(resolution,[],[f257,f485]) ).

fof(f1908,plain,
    ( ~ spl0_158
    | spl0_72
    | ~ spl0_22
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1901,f484,f256,f480,f1115]) ).

fof(f1909,plain,
    ( ~ spl0_132
    | spl0_159
    | ~ spl0_22
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1900,f603,f256,f1135,f737]) ).

fof(f1917,plain,
    ( ~ c0_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_24
    | spl0_99 ),
    inference(resolution,[],[f264,f604]) ).

fof(f1925,plain,
    ( ~ spl0_132
    | ~ spl0_133
    | ~ spl0_24
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1917,f603,f263,f741,f737]) ).

fof(f1942,plain,
    ( spl0_85
    | spl0_165
    | ~ spl0_21
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1468,f535,f253,f1474,f539]) ).

fof(f1976,plain,
    ( c3_1(a434)
    | c2_1(a434)
    | ~ spl0_19
    | spl0_88 ),
    inference(resolution,[],[f554,f247]) ).

fof(f1979,definition,
    ( spl0_167
  <=> c2_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1984,plain,
    ( spl0_167
    | spl0_87
    | ~ spl0_19
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1976,f553,f246,f549,f1979]) ).

fof(f1997,plain,
    ( c3_1(a460)
    | ~ c0_1(a460)
    | ~ spl0_9
    | ~ spl0_134 ),
    inference(resolution,[],[f212,f746]) ).

fof(f2002,plain,
    ( ~ spl0_156
    | spl0_100
    | ~ spl0_9
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1997,f745,f211,f608,f1060]) ).

fof(f2009,plain,
    ( ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(resolution,[],[f215,f742]) ).

fof(f2021,plain,
    ( ~ spl0_132
    | ~ spl0_159
    | ~ spl0_10
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2009,f741,f214,f1135,f737]) ).

fof(f2028,plain,
    ( ~ c0_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_16
    | spl0_99 ),
    inference(resolution,[],[f236,f604]) ).

fof(f2031,plain,
    ( ~ c0_1(a415)
    | ~ c3_1(a415)
    | ~ spl0_16
    | spl0_74 ),
    inference(resolution,[],[f236,f490]) ).

fof(f2033,plain,
    ( ~ c0_1(a402)
    | ~ c3_1(a402)
    | ~ spl0_16
    | spl0_64 ),
    inference(resolution,[],[f236,f444]) ).

fof(f2037,plain,
    ( ~ spl0_115
    | ~ spl0_157
    | ~ spl0_16
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2031,f489,f235,f1091,f669]) ).

fof(f2038,plain,
    ( ~ spl0_159
    | ~ spl0_133
    | ~ spl0_16
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2028,f603,f235,f741,f1135]) ).

fof(f2040,plain,
    ( c3_1(a460)
    | c2_1(a460)
    | ~ spl0_19
    | spl0_156 ),
    inference(resolution,[],[f1061,f247]) ).

fof(f2042,plain,
    ( spl0_101
    | spl0_100
    | ~ spl0_19
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2040,f1060,f246,f608,f612]) ).

fof(f2045,plain,
    ( ~ spl0_154
    | spl0_95
    | ~ spl0_2
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f971,f733,f188,f585,f973]) ).

fof(f2046,plain,
    ( ~ spl0_120
    | spl0_82
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1146,f685,f188,f525,f689]) ).

fof(f2053,plain,
    ( ~ spl0_142
    | spl0_162
    | ~ spl0_7
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1842,f788,f204,f1202,f779]) ).

fof(f2055,plain,
    ( ~ spl0_124
    | spl0_86
    | ~ spl0_7
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1847,f709,f204,f544,f705]) ).

fof(f2056,plain,
    ( ~ spl0_158
    | spl0_72
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1850,f665,f204,f480,f1115]) ).

fof(f2061,plain,
    ( spl0_63
    | spl0_151
    | ~ spl0_12
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1546,f641,f221,f880,f439]) ).

fof(f2063,plain,
    ( ~ spl0_117
    | ~ spl0_155
    | ~ spl0_14
    | spl0_76 ),
    inference(avatar_split_clause,[],[f990,f498,f228,f984,f677]) ).

fof(f2070,plain,
    ( ~ spl0_108
    | spl0_151
    | ~ spl0_28
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1529,f443,f278,f880,f641]) ).

fof(f2082,plain,
    ( ~ spl0_144
    | spl0_162
    | ~ spl0_9
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1548,f784,f211,f1202,f788]) ).

fof(f2083,plain,
    ( ~ spl0_151
    | ~ spl0_108
    | ~ spl0_16
    | spl0_64 ),
    inference(avatar_split_clause,[],[f2033,f443,f235,f641,f880]) ).

fof(f2091,plain,
    ( spl0_12
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1500,f249,f185,f221]) ).

fof(f2146,plain,
    ( spl0_149
    | spl0_62
    | ~ spl0_20
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1370,f633,f249,f434,f858]) ).

fof(f2156,plain,
    ( c3_1(a427)
    | ~ c2_1(a427)
    | ~ spl0_18
    | spl0_83 ),
    inference(resolution,[],[f531,f243]) ).

fof(f2157,plain,
    ( ~ spl0_121
    | spl0_166
    | ~ spl0_18
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2156,f530,f242,f1572,f693]) ).

fof(f2168,plain,
    ( ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ spl0_10
    | ~ spl0_147 ),
    inference(resolution,[],[f215,f802]) ).

fof(f2169,plain,
    ( ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ spl0_10
    | ~ spl0_144 ),
    inference(resolution,[],[f215,f789]) ).

fof(f2170,plain,
    ( ~ c3_1(a405)
    | ~ c2_1(a405)
    | ~ spl0_10
    | ~ spl0_138 ),
    inference(resolution,[],[f215,f763]) ).

fof(f2181,plain,
    ( ~ spl0_160
    | ~ spl0_136
    | ~ spl0_10
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2170,f762,f214,f753,f1157]) ).

fof(f2182,plain,
    ( ~ spl0_142
    | ~ spl0_162
    | ~ spl0_10
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2169,f788,f214,f1202,f779]) ).

fof(f2183,plain,
    ( ~ spl0_146
    | ~ spl0_145
    | ~ spl0_10
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2168,f801,f214,f792,f797]) ).

fof(f2184,plain,
    ( c2_1(a416)
    | ~ c3_1(a416)
    | ~ spl0_11
    | spl0_75 ),
    inference(resolution,[],[f219,f495]) ).

fof(f2188,plain,
    ( ~ spl0_117
    | spl0_155
    | ~ spl0_11
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2184,f494,f218,f984,f677]) ).

fof(f2193,plain,
    ( c3_1(a440)
    | c2_1(a440)
    | ~ spl0_12
    | ~ spl0_127 ),
    inference(resolution,[],[f222,f718]) ).

fof(f2196,plain,
    ( c3_1(a410)
    | c2_1(a410)
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(resolution,[],[f222,f666]) ).

fof(f2202,plain,
    ( spl0_158
    | spl0_72
    | ~ spl0_12
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2196,f665,f221,f480,f1115]) ).

fof(f2204,plain,
    ( spl0_93
    | spl0_92
    | ~ spl0_12
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2193,f717,f221,f571,f575]) ).

fof(f2213,plain,
    ( c2_1(a449)
    | c0_1(a449)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(resolution,[],[f226,f734]) ).

fof(f2225,plain,
    ( spl0_154
    | spl0_95
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2213,f733,f225,f585,f973]) ).

fof(f2238,plain,
    ( c3_1(a460)
    | c2_1(a460)
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(resolution,[],[f250,f746]) ).

fof(f2250,plain,
    ( spl0_101
    | spl0_100
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2238,f745,f249,f608,f612]) ).

fof(f2273,plain,
    ( c2_1(a416)
    | ~ c3_1(a416)
    | ~ spl0_38
    | spl0_76 ),
    inference(resolution,[],[f317,f499]) ).

fof(f2293,plain,
    ( c3_1(a427)
    | ~ c2_1(a427)
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(resolution,[],[f350,f698]) ).

fof(f2304,plain,
    ( ~ spl0_121
    | spl0_166
    | ~ spl0_45
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2293,f697,f349,f1572,f693]) ).

fof(f2312,plain,
    ( c2_1(a405)
    | ~ c3_1(a405)
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(resolution,[],[f380,f763]) ).

fof(f2313,plain,
    ( c2_1(a449)
    | ~ c3_1(a449)
    | ~ spl0_52
    | ~ spl0_154 ),
    inference(resolution,[],[f380,f977]) ).

fof(f2318,plain,
    ( c2_1(a404)
    | ~ c3_1(a404)
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(resolution,[],[f380,f650]) ).

fof(f2326,plain,
    ( ~ spl0_109
    | spl0_68
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2318,f649,f379,f461,f645]) ).

fof(f2328,plain,
    ( ~ spl0_130
    | spl0_95
    | ~ spl0_52
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2313,f973,f379,f585,f729]) ).

fof(f2329,plain,
    ( ~ spl0_136
    | spl0_160
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2312,f762,f379,f1157,f753]) ).

fof(f2333,plain,
    ( c3_1(a434)
    | ~ c2_1(a434)
    | ~ spl0_18
    | spl0_88 ),
    inference(resolution,[],[f554,f243]) ).

fof(f2334,plain,
    ( ~ spl0_167
    | spl0_87
    | ~ spl0_18
    | spl0_88 ),
    inference(avatar_split_clause,[],[f2333,f553,f242,f549,f1979]) ).

fof(f2335,plain,
    ( c3_1(a434)
    | c2_1(a434)
    | ~ spl0_20
    | ~ spl0_126 ),
    inference(resolution,[],[f714,f250]) ).

fof(f2336,plain,
    ( c2_1(a434)
    | c0_1(a434)
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(resolution,[],[f714,f226]) ).

fof(f2337,plain,
    ( spl0_88
    | spl0_167
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2336,f713,f225,f1979,f553]) ).

fof(f2338,plain,
    ( spl0_167
    | spl0_87
    | ~ spl0_20
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2335,f713,f249,f549,f1979]) ).

fof(f2346,plain,
    ( ~ spl0_117
    | spl0_155
    | ~ spl0_38
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2273,f498,f316,f984,f677]) ).

fof(f2348,plain,
    ( c3_1(a428)
    | ~ c2_1(a428)
    | ~ spl0_22
    | spl0_84 ),
    inference(resolution,[],[f536,f257]) ).

fof(f2349,plain,
    ( ~ c2_1(a428)
    | ~ c3_1(a428)
    | ~ spl0_6
    | spl0_84 ),
    inference(resolution,[],[f536,f202]) ).

fof(f2353,plain,
    ( ~ spl0_165
    | ~ spl0_123
    | ~ spl0_6
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2349,f535,f201,f701,f1474]) ).

fof(f2354,plain,
    ( ~ spl0_123
    | spl0_165
    | ~ spl0_22
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2348,f535,f256,f1474,f701]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f196]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f206]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f223]) ).

cnf(s6,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f244]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_20
    | spl0_25 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_14
    | spl0_30 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_34 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_28
    | spl0_35 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_32
    | spl0_36 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_18
    | spl0_35 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_17
    | spl0_33 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_22 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_20
    | spl0_39 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_22
    | spl0_40 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_18
    | spl0_27 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_13
    | spl0_42 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_20
    | spl0_43 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_23
    | spl0_45 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_27
    | spl0_33 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_39
    | spl0_49 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_42
    | spl0_50 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_43
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s44,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_34
    | spl0_51 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_34
    | spl0_54 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_25 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_43
    | spl0_49 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_30
    | spl0_49 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_35
    | spl0_40 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_23
    | spl0_57 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_27
    | spl0_59 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_46
    | spl0_54 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_35
    | spl0_49 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s64,plain,
    ( ~ spl0_46
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s65,plain,
    ( ~ spl0_35
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s66,plain,
    ( ~ spl0_49
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s67,plain,
    ( ~ spl0_49
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s68,plain,
    ( ~ spl0_23
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s69,plain,
    ( ~ spl0_23
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s70,plain,
    ( ~ spl0_23
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s71,plain,
    ( ~ spl0_33
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s75,plain,
    ( ~ spl0_43
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s76,plain,
    ( ~ spl0_43
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s77,plain,
    ( ~ spl0_59
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s78,plain,
    ( ~ spl0_27
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s79,plain,
    ( ~ spl0_27
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s82,plain,
    ( ~ spl0_30
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s83,plain,
    ( ~ spl0_30
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s84,plain,
    ( ~ spl0_30
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s85,plain,
    ( ~ spl0_40
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s86,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s87,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s88,plain,
    ( ~ spl0_36
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s89,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s90,plain,
    ( ~ spl0_51
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s91,plain,
    ( ~ spl0_51
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s95,plain,
    ( ~ spl0_57
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s96,plain,
    ( ~ spl0_57
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s98,plain,
    ( ~ spl0_25
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s102,plain,
    ( ~ spl0_31
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s103,plain,
    ( ~ spl0_53
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s104,plain,
    ( ~ spl0_53
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s107,plain,
    ( ~ spl0_46
    | spl0_104 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s108,plain,
    ( ~ spl0_46
    | spl0_105 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s109,plain,
    ( ~ spl0_35
    | spl0_106 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s110,plain,
    ( ~ spl0_35
    | spl0_107 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s111,plain,
    ( ~ spl0_49
    | spl0_108 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s112,plain,
    ( ~ spl0_33
    | spl0_109 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s113,plain,
    ( ~ spl0_33
    | spl0_110 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s117,plain,
    ( ~ spl0_43
    | spl0_114 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s118,plain,
    ( ~ spl0_59
    | spl0_115 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s120,plain,
    ( ~ spl0_27
    | spl0_117 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s122,plain,
    ( ~ spl0_40
    | spl0_119 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s123,plain,
    ( ~ spl0_40
    | spl0_120 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s124,plain,
    ( ~ spl0_39
    | spl0_121 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s125,plain,
    ( ~ spl0_39
    | spl0_122 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s126,plain,
    ( ~ spl0_36
    | spl0_123 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s127,plain,
    ( ~ spl0_56
    | spl0_124 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s128,plain,
    ( ~ spl0_56
    | spl0_125 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s129,plain,
    ( ~ spl0_51
    | spl0_126 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s130,plain,
    ( ~ spl0_57
    | spl0_127 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s133,plain,
    ( ~ spl0_25
    | spl0_130 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s134,plain,
    ( ~ spl0_25
    | spl0_131 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s135,plain,
    ( ~ spl0_31
    | spl0_132 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s136,plain,
    ( ~ spl0_31
    | spl0_133 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s137,plain,
    ( ~ spl0_53
    | spl0_134 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s139,plain,
    ( ~ spl0_50
    | spl0_136 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s140,plain,
    ( ~ spl0_50
    | spl0_137 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s141,plain,
    ( ~ spl0_50
    | spl0_138 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s145,plain,
    ( ~ spl0_54
    | spl0_142 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s146,plain,
    ( ~ spl0_54
    | spl0_143 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s147,plain,
    ( ~ spl0_54
    | spl0_144 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s148,plain,
    ( ~ spl0_42
    | spl0_145 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s149,plain,
    ( ~ spl0_42
    | spl0_146 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s150,plain,
    ( ~ spl0_42
    | spl0_147 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s152,plain,
    ( spl0_25
    | spl0_53
    | spl0_57 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s153,plain,
    ( spl0_23
    | spl0_43
    | spl0_56 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s154,plain,
    ( spl0_47
    | spl0_50
    | spl0_55 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s176,plain,
    ( spl0_3
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s179,plain,
    ( spl0_3
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s180,plain,
    ( spl0_3
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s187,plain,
    ( ~ spl0_4
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s194,plain,
    ( ~ spl0_13
    | ~ spl0_17
    | spl0_38 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s198,plain,
    ( ~ spl0_4
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s207,plain,
    ( ~ spl0_2
    | spl0_12
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s217,plain,
    ( ~ spl0_2
    | spl0_101
    | ~ spl0_134
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s231,plain,
    ( ~ spl0_8
    | spl0_79
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s248,plain,
    ( ~ spl0_5
    | spl0_18
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s270,plain,
    ( ~ spl0_9
    | spl0_61
    | ~ spl0_105
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s271,plain,
    ( ~ spl0_9
    | spl0_62
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1194]) ).

cnf(s278,plain,
    ( ~ spl0_28
    | spl0_72
    | spl0_73
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s282,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s289,plain,
    ( ~ spl0_6
    | spl0_99
    | ~ spl0_132
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1237]) ).

cnf(s326,plain,
    ( ~ spl0_16
    | spl0_99
    | ~ spl0_133
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s327,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_52 ),
    inference(sat_conversion,[],[f1330]) ).

cnf(s349,plain,
    ( ~ spl0_32
    | spl0_95
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s358,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1454]) ).

cnf(s362,plain,
    ( ~ spl0_8
    | spl0_19
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1458]) ).

cnf(s398,plain,
    ( ~ spl0_1
    | spl0_63
    | spl0_64
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s412,plain,
    ( ~ spl0_5
    | ~ spl0_104
    | ~ spl0_105
    | spl0_152 ),
    inference(sat_conversion,[],[f1542]) ).

cnf(s413,plain,
    ( ~ spl0_18
    | spl0_61
    | ~ spl0_104
    | spl0_152 ),
    inference(sat_conversion,[],[f1543]) ).

cnf(s418,plain,
    ( ~ spl0_5
    | spl0_83
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s423,plain,
    ( ~ spl0_14
    | spl0_85
    | ~ spl0_123
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1593]) ).

cnf(s426,plain,
    ( ~ spl0_15
    | spl0_75
    | spl0_76
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s428,plain,
    ( ~ spl0_17
    | spl0_74
    | ~ spl0_115
    | spl0_157 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s429,plain,
    ( ~ spl0_17
    | spl0_75
    | spl0_76
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s435,plain,
    ( ~ spl0_34
    | spl0_83
    | ~ spl0_122
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s437,plain,
    ( ~ spl0_34
    | ~ spl0_130
    | ~ spl0_131
    | spl0_154 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s439,plain,
    ( ~ spl0_8
    | ~ spl0_34
    | spl0_38 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s442,plain,
    ( ~ spl0_4
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s444,plain,
    ( ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s457,plain,
    ( ~ spl0_19
    | spl0_65
    | spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s468,plain,
    ( ~ spl0_14
    | spl0_83
    | ~ spl0_121
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1718]) ).

cnf(s477,plain,
    ( ~ spl0_11
    | spl0_63
    | spl0_64
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s503,plain,
    ( ~ spl0_4
    | spl0_7
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s512,plain,
    ( ~ spl0_7
    | ~ spl0_132
    | ~ spl0_133
    | spl0_159 ),
    inference(sat_conversion,[],[f1861]) ).

cnf(s517,plain,
    ( ~ spl0_22
    | spl0_72
    | spl0_73
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1908]) ).

cnf(s518,plain,
    ( ~ spl0_22
    | spl0_99
    | ~ spl0_132
    | spl0_159 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s520,plain,
    ( ~ spl0_24
    | spl0_99
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s537,plain,
    ( ~ spl0_21
    | spl0_84
    | spl0_85
    | spl0_165 ),
    inference(sat_conversion,[],[f1942]) ).

cnf(s556,plain,
    ( ~ spl0_19
    | spl0_87
    | spl0_88
    | spl0_167 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s561,plain,
    ( ~ spl0_9
    | spl0_100
    | ~ spl0_134
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s562,plain,
    ( ~ spl0_10
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s566,plain,
    ( ~ spl0_16
    | spl0_74
    | ~ spl0_115
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s567,plain,
    ( ~ spl0_16
    | spl0_99
    | ~ spl0_133
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2038]) ).

cnf(s568,plain,
    ( ~ spl0_19
    | spl0_100
    | spl0_101
    | spl0_156 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s572,plain,
    ( ~ spl0_2
    | spl0_95
    | ~ spl0_131
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s575,plain,
    ( ~ spl0_2
    | spl0_82
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s582,plain,
    ( ~ spl0_7
    | ~ spl0_142
    | ~ spl0_144
    | spl0_162 ),
    inference(sat_conversion,[],[f2053]) ).

cnf(s584,plain,
    ( ~ spl0_7
    | spl0_86
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s585,plain,
    ( ~ spl0_7
    | spl0_72
    | ~ spl0_114
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2056]) ).

cnf(s590,plain,
    ( ~ spl0_12
    | spl0_63
    | ~ spl0_108
    | spl0_151 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s592,plain,
    ( ~ spl0_14
    | spl0_76
    | ~ spl0_117
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2063]) ).

cnf(s603,plain,
    ( ~ spl0_28
    | spl0_64
    | ~ spl0_108
    | spl0_151 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s615,plain,
    ( ~ spl0_9
    | ~ spl0_143
    | ~ spl0_144
    | spl0_162 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s616,plain,
    ( ~ spl0_16
    | spl0_64
    | ~ spl0_108
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s624,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f2091]) ).

cnf(s681,plain,
    ( ~ spl0_20
    | spl0_62
    | ~ spl0_106
    | spl0_149 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s687,plain,
    ( ~ spl0_18
    | spl0_83
    | ~ spl0_121
    | spl0_166 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s692,plain,
    ( ~ spl0_10
    | ~ spl0_136
    | ~ spl0_138
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2181]) ).

cnf(s693,plain,
    ( ~ spl0_10
    | ~ spl0_142
    | ~ spl0_144
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2182]) ).

cnf(s694,plain,
    ( ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2183]) ).

cnf(s696,plain,
    ( ~ spl0_11
    | spl0_75
    | ~ spl0_117
    | spl0_155 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s697,plain,
    ( ~ spl0_12
    | spl0_72
    | ~ spl0_114
    | spl0_158 ),
    inference(sat_conversion,[],[f2202]) ).

cnf(s699,plain,
    ( ~ spl0_12
    | spl0_92
    | spl0_93
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2204]) ).

cnf(s701,plain,
    ( ~ spl0_13
    | spl0_95
    | ~ spl0_131
    | spl0_154 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s707,plain,
    ( ~ spl0_20
    | spl0_100
    | spl0_101
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2250]) ).

cnf(s715,plain,
    ( ~ spl0_45
    | ~ spl0_121
    | ~ spl0_122
    | spl0_166 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s720,plain,
    ( ~ spl0_52
    | spl0_68
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s722,plain,
    ( ~ spl0_52
    | spl0_95
    | ~ spl0_130
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2328]) ).

cnf(s723,plain,
    ( ~ spl0_52
    | ~ spl0_136
    | ~ spl0_138
    | spl0_160 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s726,plain,
    ( ~ spl0_18
    | spl0_87
    | spl0_88
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2334]) ).

cnf(s727,plain,
    ( ~ spl0_13
    | spl0_88
    | ~ spl0_126
    | spl0_167 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s728,plain,
    ( ~ spl0_20
    | spl0_87
    | ~ spl0_126
    | spl0_167 ),
    inference(sat_conversion,[],[f2338]) ).

cnf(s736,plain,
    ( ~ spl0_38
    | spl0_76
    | ~ spl0_117
    | spl0_155 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s738,plain,
    ( ~ spl0_6
    | spl0_84
    | ~ spl0_123
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2353]) ).

cnf(s739,plain,
    ( ~ spl0_22
    | spl0_84
    | ~ spl0_123
    | spl0_165 ),
    inference(sat_conversion,[],[f2354]) ).

cnf(s741,plain,
    spl0_3,
    inference(rat,[],[s154,s176,s179,s180]) ).

cnf(s742,plain,
    ( ~ spl0_42
    | ~ spl0_10 ),
    inference(rat,[],[s694,s148,s149,s150]) ).

cnf(s743,plain,
    ( ~ spl0_57
    | ~ spl0_12 ),
    inference(rat,[],[s699,s95,s96,s130]) ).

cnf(s744,plain,
    ( ~ spl0_35
    | ~ spl0_20
    | ~ spl0_4 ),
    inference(rat,[],[s681,s187,s65,s109,s110]) ).

cnf(s745,plain,
    ( spl0_35
    | ~ spl0_16
    | spl0_8
    | spl0_5 ),
    inference(rat,[],[s603,s616,s67,s111,s63,s18,s741]) ).

cnf(s746,plain,
    ( spl0_15
    | spl0_19
    | spl0_8
    | spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s8,s744,s745,s6,s741]) ).

cnf(s747,plain,
    ( ~ spl0_51
    | ~ spl0_18
    | ~ spl0_13 ),
    inference(rat,[],[s726,s727,s90,s91,s129]) ).

cnf(s748,plain,
    ( ~ spl0_43
    | ~ spl0_28 ),
    inference(rat,[],[s278,s75,s76,s117]) ).

cnf(s750,plain,
    ( ~ spl0_43
    | ~ spl0_12
    | ~ spl0_7 ),
    inference(rat,[],[s585,s697,s75,s117]) ).

cnf(s751,plain,
    ( spl0_11
    | spl0_9
    | spl0_8
    | spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s426,s736,s194,s78,s79,s120,s7,s27,s747,s42,s750,s746,s457,s68,s69,s70,s55,s743,s29,s4,s2,s723,s139,s442,s140,s141,s41,s742,s3,s349,s98,s133,s134,s50,s741]) ).

cnf(s752,plain,
    ( ~ spl0_31
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(rat,[],[s512,s562,s135,s136]) ).

cnf(s754,plain,
    ( ~ spl0_49
    | ~ spl0_12
    | ~ spl0_11 ),
    inference(rat,[],[s477,s590,s66,s67,s111]) ).

cnf(s755,plain,
    ( spl0_9
    | spl0_8
    | spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s744,s51,s63,s754,s750,s15,s752,s751,s349,s98,s133,s134,s3,s50,s2,s741]) ).

cnf(s757,plain,
    ( ~ spl0_138
    | ~ spl0_136
    | ~ spl0_52
    | ~ spl0_10 ),
    inference(rat,[],[s692,s723]) ).

cnf(s758,plain,
    ( ~ spl0_53
    | ~ spl0_20 ),
    inference(rat,[],[s707,s103,s104,s137]) ).

cnf(s759,plain,
    ( ~ spl0_54
    | ~ spl0_4 ),
    inference(rat,[],[s444,s145,s146,s147]) ).

cnf(s760,plain,
    ( spl0_8
    | spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s696,s7,s426,s429,s78,s79,s120,s27,s413,s198,s64,s107,s108,s62,s746,s568,s561,s755,s137,s104,s103,s44,s759,s1,s741]) ).

cnf(s761,plain,
    ( ~ spl0_27
    | ~ spl0_17 ),
    inference(rat,[],[s429,s78,s79,s120]) ).

cnf(s762,plain,
    ( ~ spl0_46
    | ~ spl0_18
    | ~ spl0_4 ),
    inference(rat,[],[s413,s198,s64,s107,s108]) ).

cnf(s763,plain,
    ( spl0_43
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s556,s726,s90,s91,s42,s722,s437,s98,s133,s134,s50,s561,s568,s62,s762,s48,s27,s761,s30,s137,s104,s103,s758,s44,s759,s1,s741]) ).

cnf(s764,plain,
    ( spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s426,s736,s78,s79,s120,s27,s762,s62,s457,s68,s69,s70,s439,s10,s6,s17,s520,s567,s512,s752,s102,s135,s136,s15,s750,s760,s2,s759,s1,s349,s134,s133,s98,s50,s271,s65,s109,s110,s18,s748,s763,s741]) ).

cnf(s765,plain,
    ( spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s289,s512,s102,s135,s136,s15,s697,s503,s517,s764,s349,s98,s133,s134,s24,s50,s271,s65,s109,s110,s18,s1,s117,s76,s75,s748,s763,s741]) ).

cnf(s766,plain,
    ( ~ spl0_19
    | ~ spl0_43
    | spl0_100
    | spl0_101
    | ~ spl0_134
    | ~ spl0_4 ),
    inference(rat,[],[s457,s68,s69,s70,s10,s520,s752,s102,s135,s136,s15,s750,s349,s503,s98,s133,s134,s24,s50,s561,s568,s741]) ).

cnf(s767,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s198,s412,s107,s108,s62,s766,s765,s763,s103,s104,s137,s44,s759,s1,s741]) ).

cnf(s768,plain,
    ( spl0_9
    | spl0_54
    | ~ spl0_2 ),
    inference(rat,[],[s720,s71,s112,s113,s23,s761,s327,s48,s17,s437,s572,s98,s133,s134,s50,s741]) ).

cnf(s769,plain,
    ( ~ spl0_25
    | ~ spl0_131
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(rat,[],[s572,s437,s98,s133]) ).

cnf(s770,plain,
    ( ~ spl0_53
    | ~ spl0_19
    | ~ spl0_2 ),
    inference(rat,[],[s568,s217,s103,s104,s137]) ).

cnf(s771,plain,
    ( ~ spl0_23
    | ~ spl0_19 ),
    inference(rat,[],[s457,s68,s69,s70]) ).

cnf(s774,plain,
    ( ~ spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s575,s85,s122,s123]) ).

cnf(s777,plain,
    ( ~ spl0_46
    | ~ spl0_18
    | ~ spl0_9 ),
    inference(rat,[],[s270,s413,s64,s107,s108]) ).

cnf(s778,plain,
    ( ~ spl0_51
    | ~ spl0_19
    | ~ spl0_18 ),
    inference(rat,[],[s556,s726,s90,s91]) ).

cnf(s779,plain,
    ( ~ spl0_25
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(rat,[],[s769,s134]) ).

cnf(s780,plain,
    ( ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s271,s65,s109,s110]) ).

cnf(s781,plain,
    ( ~ spl0_18
    | spl0_54
    | ~ spl0_2 ),
    inference(rat,[],[s779,s47,s152,s778,s771,s770,s62,s777,s743,s207,s54,s780,s768,s774,s741]) ).

cnf(s782,plain,
    ( spl0_54
    | spl0_1 ),
    inference(rat,[],[s696,s7,s592,s761,s78,s79,s120,s20,s27,s781,s780,s768,s767,s741]) ).

cnf(s783,plain,
    ( ~ spl0_33
    | ~ spl0_52 ),
    inference(rat,[],[s720,s71,s112,s113]) ).

cnf(s784,plain,
    ( spl0_9
    | ~ spl0_2 ),
    inference(rat,[],[s428,s566,s77,s118,s59,s761,s23,s783,s327,s701,s17,s572,s779,s98,s134,s50,s741]) ).

cnf(s785,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_1 ),
    inference(rat,[],[s603,s616,s67,s111,s63,s362,s30,s761,s35,s783,s327,s693,s615,s146,s145,s147,s782,s748,s54,s780,s784,s774,s767,s741]) ).

cnf(s786,plain,
    ( spl0_25
    | spl0_1 ),
    inference(rat,[],[s758,s11,s152,s693,s615,s146,s145,s147,s782,s743,s207,s54,s780,s784,s774,s767,s741]) ).

cnf(s787,plain,
    spl0_1,
    inference(rat,[],[s584,s282,s89,s127,s128,s10,s153,s771,s785,s17,s779,s786,s748,s693,s54,s615,s780,s784,s145,s146,s147,s782,s774,s767,s741]) ).

cnf(s788,plain,
    ~ spl0_49,
    inference(rat,[],[s398,s66,s67,s111,s787]) ).

cnf(s789,plain,
    ( spl0_9
    | ~ spl0_18
    | ~ spl0_43 ),
    inference(rat,[],[s17,s435,s326,s518,s687,s102,s135,s136,s86,s124,s125,s15,s40,s697,s349,s517,s98,s133,s134,s24,s50,s117,s76,s75,s741,s788]) ).

cnf(s790,plain,
    ( ~ spl0_18
    | ~ spl0_43
    | spl0_100
    | spl0_101
    | ~ spl0_134
    | spl0_54 ),
    inference(rat,[],[s62,s568,s777,s561,s789,s741]) ).

cnf(s791,plain,
    ( spl0_54
    | spl0_2 ),
    inference(rat,[],[s3,s562,s231,s518,s82,s83,s84,s102,s135,s136,s53,s15,s697,s349,s517,s98,s133,s134,s24,s50,s780,s18,s418,s86,s124,s125,s25,s790,s748,s75,s76,s117,s51,s758,s103,s104,s137,s44,s788,s741]) ).

cnf(s792,plain,
    ( spl0_9
    | ~ spl0_18 ),
    inference(rat,[],[s728,s726,s90,s91,s129,s42,s757,s139,s141,s41,s742,s3,s231,s82,s83,s84,s14,s468,s687,s86,s124,s40,s349,s51,s98,s133,s134,s789,s50,s741,s788]) ).

cnf(s793,plain,
    ( ~ spl0_39
    | ~ spl0_18 ),
    inference(rat,[],[s47,s778,s771,s362,s51,s748,s18,s435,s418,s687,s86,s124,s125,s63,s780,s792,s741,s788]) ).

cnf(s794,plain,
    ( ~ spl0_25
    | ~ spl0_32 ),
    inference(rat,[],[s349,s98,s133,s134]) ).

cnf(s795,plain,
    ( spl0_25
    | spl0_10 ),
    inference(rat,[],[s152,s743,s758,s624,s11,s741,s787]) ).

cnf(s796,plain,
    ( ~ spl0_18
    | ~ spl0_54 ),
    inference(rat,[],[s795,s794,s40,s793,s693,s615,s792,s147,s146,s145,s741,s788]) ).

cnf(s797,plain,
    ( spl0_9
    | spl0_32
    | ~ spl0_54 ),
    inference(rat,[],[s3,s693,s231,s582,s82,s83,s84,s2,s14,s738,s423,s739,s24,s147,s145,s126,s88,s87,s19,s796,s418,s86,s124,s125,s40,s741,s788]) ).

cnf(s798,plain,
    ( spl0_32
    | ~ spl0_54 ),
    inference(rat,[],[s771,s362,s33,s51,s537,s715,s748,s423,s468,s18,s20,s63,s780,s797,s418,s87,s88,s126,s86,s124,s125,s19,s40,s796,s741,s788]) ).

cnf(s799,plain,
    ~ spl0_54,
    inference(rat,[],[s693,s615,s795,s50,s794,s798,s145,s146,s147,s741]) ).

cnf(s800,plain,
    spl0_2,
    inference(rat,[],[s791,s799]) ).

cnf(s801,plain,
    ~ spl0_18,
    inference(rat,[],[s781,s800,s799]) ).

cnf(s802,plain,
    ~ spl0_40,
    inference(rat,[],[s774,s800]) ).

cnf(s803,plain,
    spl0_9,
    inference(rat,[],[s784,s800]) ).

cnf(s804,plain,
    spl0_22,
    inference(rat,[],[s26,s801,s741,s802]) ).

cnf(s805,plain,
    ~ spl0_35,
    inference(rat,[],[s780,s803]) ).

cnf(s806,plain,
    ~ spl0_5,
    inference(rat,[],[s248,s801,s804]) ).

cnf(s807,plain,
    spl0_7,
    inference(rat,[],[s358,s803,s804]) ).

cnf(s808,plain,
    spl0_8,
    inference(rat,[],[s63,s788,s741,s805]) ).

cnf(s810,plain,
    spl0_28,
    inference(rat,[],[s18,s806,s741,s805]) ).

cnf(s812,plain,
    ~ spl0_43,
    inference(rat,[],[s748,s810]) ).

cnf(s814,plain,
    spl0_20,
    inference(rat,[],[s51,s788,s741,s812]) ).

cnf(s816,plain,
    spl0_19,
    inference(rat,[],[s362,s808,s814]) ).

cnf(s818,plain,
    ~ spl0_23,
    inference(rat,[],[s771,s816]) ).

cnf(s825,plain,
    spl0_56,
    inference(rat,[],[s153,s812,s818]) ).

cnf(s833,plain,
    spl0_125,
    inference(rat,[],[s128,s825]) ).

cnf(s834,plain,
    spl0_124,
    inference(rat,[],[s127,s825]) ).

cnf(s835,plain,
    ~ spl0_86,
    inference(rat,[],[s89,s825]) ).

cnf(s851,plain,
    $false,
    inference(rat,[],[s584,s833,s807,s834,s835]) ).

fof(f2356,plain,
    $false,
    inference(avatar_sat_refutation,[],[s851]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN469-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19  % Computer : n013.cluster.edu
% 0.06/0.19  % Model    : x86_64 x86_64
% 0.06/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19  % Memory   : 8046.5625MB
% 0.06/0.19  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Mon Sep 28 16:09:07 UTC 2026
% 0.06/0.20  % CPUTime  : 
% 0.06/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23  Running first-order theorem proving
% 0.06/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/1.12  % (1300527)Input is clausal, will run a generic CNF schedule.
% 2.94/1.12  % (1300534)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3331700867:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.12  % (1300537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1744854344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.12  % (1300535)lrs+10_1_sil=8000:sp=occurrence:random_seed=3127978184:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.12  % (1300533)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3759653271:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.12  % (1300536)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2428951363:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.12  % (1300532)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3385005628:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.12  % (1300538)dis-21_1_sil=8000:lcm=predicate:random_seed=2614013143:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.94/1.12  % (1300538)First to succeed.
% 2.94/1.12  % (1300538)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1300527"
% 2.94/1.12  % (1300536)Also succeeded, but the first one will report.
% 2.94/1.12  % (1300535)Also succeeded, but the first one will report.
% 2.94/1.12  % (1300537)Also succeeded, but the first one will report.
% 2.94/1.12  % (1300538)Refutation found. Thanks to Tanya!
% 2.94/1.12  % SZS status Unsatisfiable for theBenchmark
% 2.94/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.31  % (1300538)------------------------------
% 3.78/1.31  % (1300538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.31  % (1300538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.31  % (1300538)CaDiCaL version: 2.1.3
% 3.78/1.31  % (1300538)Termination reason: Refutation
% 3.78/1.31  % (1300538)Time elapsed: 0.034 s
% 3.78/1.31  % (1300538)Peak memory usage: 90 MB
% 3.78/1.31  % (1300538)Instructions burned: 53 (million)
% 3.78/1.31  % (1300538)------------------------------
% 3.78/1.31  % (1300538)------------------------------
% 3.78/1.31  % (1300527)Success in time 0.448 s
% 3.78/1.31  % Vampire exiting
%------------------------------------------------------------------------------