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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN488-1 : 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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:57:43 PM UTC 2026

% Result   : Unsatisfiable 0.63s 0.98s
% Output   : Refutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :  285
% Syntax   : Number of formulae    : 1140 (  22 unt; 145 def)
%            Number of atoms       : 3817 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4891 (2214   ~;2532   |;   0   &)
%                                         ( 145 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  180 ( 179 usr; 176 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  167 (   0 sgn 167   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f6,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f13,negated_conjecture,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f34,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( hskp5
    | hskp19
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp8
    | hskp9
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c0_1(a2450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp30
    | c1_1(a2450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c3_1(a2450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c0_1(a2409) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2409) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c3_1(a2409) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c0_1(a2484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp26
    | c1_1(a2484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp25
    | c2_1(a2478) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp24
    | c1_1(a2468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c2_1(a2455) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c3_1(a2455) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp21
    | c0_1(a2437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c2_1(a2437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp20
    | c3_1(a2435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp19
    | c1_1(a2432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c3_1(a2432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp17
    | c2_1(a2427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp17
    | c3_1(a2427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp16
    | c0_1(a2425) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c1_1(a2422) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp15
    | c3_1(a2422) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp14
    | c1_1(a2420) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp14
    | c2_1(a2420) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp13
    | c1_1(a2418) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp13
    | c2_1(a2418) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp12
    | c3_1(a2417) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp11
    | c3_1(a2416) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp10
    | c0_1(a2414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp9
    | c2_1(a2413) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp8
    | c1_1(a2412) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c2_1(a2411) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp6
    | c0_1(a2410) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp6
    | c1_1(a2410) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c0_1(a2408) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp5
    | c3_1(a2408) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c0_1(a2405) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp3
    | c2_1(a2405) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp1
    | c1_1(a2403) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp0
    | c0_1(a2402) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp0
    | c3_1(a2402) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a2484)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c0_1(a2478)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a2468)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ c0_1(a2455)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a2453)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a2453)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a2453)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a2437)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a2435)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a2435)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a2432)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a2428)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a2428)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c3_1(a2428)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a2427)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a2425)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a2425)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a2422)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a2420)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a2418)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a2417)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a2417)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a2416)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a2416)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a2414)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a2414)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a2413)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a2413)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a2412)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a2412)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a2411)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ c2_1(a2410)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a2408)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a2407)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a2407)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a2405)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c1_1(a2404)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a2404)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c3_1(a2404)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a2403)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c3_1(a2403)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c1_1(a2402)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp13
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp29
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp17
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp30
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp5
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp0
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp16
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp5
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp30
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp6
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp12
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp21
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp1
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp6
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp21
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp15
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp6
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp6
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp14
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp20
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp15
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

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

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

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

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

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f206,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f212,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f216,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f217,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f218,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f216,f212,f209,f206]) ).

fof(f220,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f226,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f228,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f203,f226,f212,f223,f220]) ).

fof(f230,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f236,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f238,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f202,f236,f212,f233,f230]) ).

fof(f240,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f243,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f246,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f248,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f201,f246,f212,f243,f240]) ).

fof(f250,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f253,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f256,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f200,f256,f212,f253,f250]) ).

fof(f260,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f264,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( spl0_18
    | spl0_6
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f198,f256,f212,f223,f264]) ).

fof(f267,plain,
    ( spl0_18
    | spl0_2
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f197,f256,f212,f209,f264]) ).

fof(f269,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f270,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f271,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f196,f220,f212,f269,f264]) ).

fof(f273,definition,
    ( spl0_20
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f277,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f280,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f281,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f282,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f195,f280,f212,f277,f273]) ).

fof(f284,definition,
    ( spl0_23
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f287,plain,
    ( spl0_23
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f194,f236,f212,f233,f284]) ).

fof(f289,definition,
    ( spl0_24
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f292,plain,
    ( spl0_24
    | spl0_16
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f193,f233,f212,f256,f289]) ).

fof(f294,definition,
    ( spl0_25
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_26
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f299,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f300,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f192,f206,f212,f298,f294]) ).

fof(f302,definition,
    ( spl0_27
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f309,plain,
    ( spl0_20
    | spl0_28
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f190,f256,f212,f306,f273]) ).

fof(f311,definition,
    ( spl0_29
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f316,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f317,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f189,f216,f212,f315,f311]) ).

fof(f319,definition,
    ( spl0_31
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f324,definition,
    ( spl0_32
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_33
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f329,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f330,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f187,f233,f212,f328,f324]) ).

fof(f331,plain,
    ( spl0_25
    | spl0_33
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f186,f246,f212,f328,f294]) ).

fof(f333,definition,
    ( spl0_34
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_35
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_36
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_35
    | spl0_36
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f184,f206,f212,f342,f338]) ).

fof(f346,definition,
    ( spl0_37
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f349,plain,
    ( spl0_37
    | spl0_15
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f183,f230,f212,f253,f346]) ).

fof(f350,plain,
    ( spl0_25
    | spl0_30
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f182,f277,f212,f315,f294]) ).

fof(f351,plain,
    ( spl0_23
    | spl0_17
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f181,f206,f212,f260,f284]) ).

fof(f353,definition,
    ( spl0_38
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f357,definition,
    ( spl0_39
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_38
    | spl0_19
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f180,f357,f212,f269,f353]) ).

fof(f361,definition,
    ( spl0_40
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f366,definition,
    ( spl0_41
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f369,plain,
    ( spl0_41
    | spl0_19
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f178,f306,f212,f269,f366]) ).

fof(f375,definition,
    ( spl0_43
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f378,plain,
    ( spl0_43
    | spl0_36
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f176,f223,f212,f342,f375]) ).

fof(f384,plain,
    ( spl0_35
    | spl0_18
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f173,f206,f212,f264,f338]) ).

fof(f386,definition,
    ( spl0_45
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f391,definition,
    ( spl0_46
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f394,plain,
    ( spl0_46
    | spl0_31
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f171,f236,f212,f319,f391]) ).

fof(f396,definition,
    ( spl0_47
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f401,definition,
    ( spl0_48
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_48
    | spl0_20
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f169,f226,f212,f273,f401]) ).

fof(f405,plain,
    ( spl0_43
    | spl0_32
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f168,f216,f212,f324,f375]) ).

fof(f407,definition,
    ( spl0_49
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_49
    | spl0_34
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f167,f280,f212,f333,f407]) ).

fof(f412,definition,
    ( spl0_50
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f416,definition,
    ( spl0_51
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_43
    | spl0_50
    | ~ spl0_3
    | spl0_51 ),
    inference(avatar_split_clause,[],[f166,f416,f212,f412,f375]) ).

fof(f420,definition,
    ( spl0_52
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f423,plain,
    ( spl0_52
    | spl0_50
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f233,f212,f412,f420]) ).

fof(f425,definition,
    ( spl0_53
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f431,plain,
    ( spl0_49
    | spl0_31
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f161,f206,f212,f319,f407]) ).

fof(f432,plain,
    ( spl0_46
    | spl0_47
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f160,f206,f212,f396,f391]) ).

fof(f434,definition,
    ( spl0_54
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f442,plain,
    ( spl0_47
    | spl0_50
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f158,f298,f212,f412,f396]) ).

fof(f444,plain,
    ( spl0_54
    | spl0_35
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f156,f306,f212,f338,f434]) ).

fof(f446,definition,
    ( spl0_56
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f449,plain,
    ( spl0_56
    | spl0_47
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f155,f306,f212,f396,f446]) ).

fof(f450,plain,
    ( spl0_46
    | spl0_29
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f154,f253,f212,f311,f391]) ).

fof(f451,plain,
    ( spl0_35
    | spl0_50
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f153,f223,f212,f412,f338]) ).

fof(f452,plain,
    ( spl0_25
    | spl0_24
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f152,f223,f212,f289,f294]) ).

fof(f453,plain,
    ( spl0_37
    | spl0_40
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f151,f209,f212,f361,f346]) ).

fof(f455,definition,
    ( spl0_57
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f458,plain,
    ( spl0_29
    | spl0_57
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f150,f328,f212,f455,f311]) ).

fof(f459,plain,
    ( spl0_54
    | spl0_45
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f149,f328,f212,f386,f434]) ).

fof(f462,definition,
    ( spl0_58
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f465,plain,
    ( spl0_58
    | spl0_40
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f147,f243,f212,f361,f462]) ).

fof(f466,plain,
    ( spl0_47
    | spl0_24
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f146,f243,f212,f289,f396]) ).

fof(f467,plain,
    ( spl0_31
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f145,f298,f212,f319]) ).

fof(f468,plain,
    ( spl0_48
    | spl0_56
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f144,f240,f212,f446,f401]) ).

fof(f470,definition,
    ( spl0_59
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f473,plain,
    ( spl0_59
    | spl0_57
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f143,f240,f212,f455,f470]) ).

fof(f474,plain,
    ( spl0_45
    | spl0_38
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f142,f240,f212,f353,f386]) ).

fof(f477,definition,
    ( spl0_60
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f481,plain,
    ( spl0_27
    | spl0_50
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f139,f269,f212,f412,f302]) ).

fof(f482,plain,
    ( spl0_35
    | spl0_32
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f212,f250,f324,f338]) ).

fof(f483,plain,
    ( spl0_35
    | spl0_59
    | spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f137,f212,f250,f470,f338]) ).

fof(f484,plain,
    ( spl0_29
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f136,f260,f212,f311]) ).

fof(f487,definition,
    ( spl0_61
  <=> c1_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f489,plain,
    ( ~ c1_1(a2402)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f490,plain,
    ( ~ spl0_45
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f134,f487,f386]) ).

fof(f492,definition,
    ( spl0_62
  <=> c3_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ c3_1(a2403)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f495,plain,
    ( ~ spl0_35
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f133,f492,f338]) ).

fof(f497,definition,
    ( spl0_63
  <=> c2_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c2_1(a2403)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f500,plain,
    ( ~ spl0_35
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f132,f497,f338]) ).

fof(f502,definition,
    ( spl0_64
  <=> c3_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ c3_1(a2404)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,plain,
    ( ~ spl0_25
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f131,f502,f294]) ).

fof(f507,definition,
    ( spl0_65
  <=> c2_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c2_1(a2404)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( ~ spl0_25
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f130,f507,f294]) ).

fof(f512,definition,
    ( spl0_66
  <=> c1_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ c1_1(a2404)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f515,plain,
    ( ~ spl0_25
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f129,f512,f294]) ).

fof(f517,definition,
    ( spl0_67
  <=> c3_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ c3_1(a2405)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f520,plain,
    ( ~ spl0_34
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f128,f517,f333]) ).

fof(f522,definition,
    ( spl0_68
  <=> c2_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f524,plain,
    ( ~ c2_1(a2407)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f525,plain,
    ( ~ spl0_41
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f127,f522,f366]) ).

fof(f527,definition,
    ( spl0_69
  <=> c1_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c1_1(a2407)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,plain,
    ( ~ spl0_41
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f126,f527,f366]) ).

fof(f532,definition,
    ( spl0_70
  <=> c2_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ c2_1(a2408)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f535,plain,
    ( ~ spl0_40
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f125,f532,f361]) ).

fof(f537,definition,
    ( spl0_71
  <=> c2_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ c2_1(a2410)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f540,plain,
    ( ~ spl0_50
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f124,f537,f412]) ).

fof(f547,definition,
    ( spl0_73
  <=> c1_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ spl0_27
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f122,f547,f302]) ).

fof(f552,definition,
    ( spl0_74
  <=> c2_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ c2_1(a2412)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f555,plain,
    ( ~ spl0_60
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f121,f552,f477]) ).

fof(f557,definition,
    ( spl0_75
  <=> c0_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ spl0_60
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f120,f557,f477]) ).

fof(f562,definition,
    ( spl0_76
  <=> c1_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f564,plain,
    ( ~ c1_1(a2413)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f565,plain,
    ( ~ spl0_54
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f119,f562,f434]) ).

fof(f567,definition,
    ( spl0_77
  <=> c0_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f570,plain,
    ( ~ spl0_54
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f118,f567,f434]) ).

fof(f572,definition,
    ( spl0_78
  <=> c3_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ c3_1(a2414)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f575,plain,
    ( ~ spl0_23
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f572,f284]) ).

fof(f577,definition,
    ( spl0_79
  <=> c1_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ c1_1(a2414)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl0_23
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f116,f577,f284]) ).

fof(f582,definition,
    ( spl0_80
  <=> c2_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ c2_1(a2416)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f115,f582,f391]) ).

fof(f587,definition,
    ( spl0_81
  <=> c1_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c1_1(a2416)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( ~ spl0_46
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f587,f391]) ).

fof(f592,definition,
    ( spl0_82
  <=> c1_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ c1_1(a2417)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( ~ spl0_29
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f113,f592,f311]) ).

fof(f597,definition,
    ( spl0_83
  <=> c0_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c0_1(a2417)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f600,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f112,f597,f311]) ).

fof(f602,definition,
    ( spl0_84
  <=> c0_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ c0_1(a2418)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f605,plain,
    ( ~ spl0_59
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f111,f602,f470]) ).

fof(f607,definition,
    ( spl0_85
  <=> c3_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c3_1(a2420)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f110,f607,f324]) ).

fof(f612,definition,
    ( spl0_86
  <=> c2_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c2_1(a2422)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f109,f612,f319]) ).

fof(f617,definition,
    ( spl0_87
  <=> c3_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c3_1(a2425)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f620,plain,
    ( ~ spl0_57
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f108,f617,f455]) ).

fof(f622,definition,
    ( spl0_88
  <=> c2_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ c2_1(a2425)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( ~ spl0_57
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f107,f622,f455]) ).

fof(f627,definition,
    ( spl0_89
  <=> c1_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c1_1(a2427)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f630,plain,
    ( ~ spl0_56
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f106,f627,f446]) ).

fof(f632,definition,
    ( spl0_90
  <=> c3_1(a2428) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ c3_1(a2428)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ( ~ spl0_48
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f105,f632,f401]) ).

fof(f637,definition,
    ( spl0_91
  <=> c2_1(a2428) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ c2_1(a2428)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f640,plain,
    ( ~ spl0_48
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f104,f637,f401]) ).

fof(f642,definition,
    ( spl0_92
  <=> c0_1(a2428) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ c0_1(a2428)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( ~ spl0_48
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f103,f642,f401]) ).

fof(f647,definition,
    ( spl0_93
  <=> c0_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c0_1(a2432)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f650,plain,
    ( ~ spl0_37
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f102,f647,f346]) ).

fof(f652,definition,
    ( spl0_94
  <=> c2_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ c2_1(a2435)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_20
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f101,f652,f273]) ).

fof(f657,definition,
    ( spl0_95
  <=> c0_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c0_1(a2435)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl0_20
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f100,f657,f273]) ).

fof(f662,definition,
    ( spl0_96
  <=> c1_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c1_1(a2437)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_47
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f99,f662,f396]) ).

fof(f667,definition,
    ( spl0_97
  <=> c2_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c2_1(a2453)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( ~ spl0_58
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f98,f667,f462]) ).

fof(f672,definition,
    ( spl0_98
  <=> c1_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ c1_1(a2453)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( ~ spl0_58
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f97,f672,f462]) ).

fof(f677,definition,
    ( spl0_99
  <=> c0_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ c0_1(a2453)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( ~ spl0_58
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f96,f677,f462]) ).

fof(f682,definition,
    ( spl0_100
  <=> c0_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f684,plain,
    ( ~ c0_1(a2455)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( ~ spl0_43
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f95,f682,f375]) ).

fof(f692,definition,
    ( spl0_102
  <=> c0_1(a2468) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ c0_1(a2468)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f695,plain,
    ( ~ spl0_49
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f93,f692,f407]) ).

fof(f702,definition,
    ( spl0_104
  <=> c0_1(a2478) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ c0_1(a2478)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f91,f702,f425]) ).

fof(f707,definition,
    ( spl0_105
  <=> c3_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ c3_1(a2484)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( ~ spl0_52
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f90,f707,f420]) ).

fof(f731,definition,
    ( spl0_110
  <=> c3_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f733,plain,
    ( c3_1(a2402)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( spl0_110
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f86,f386,f731]) ).

fof(f736,definition,
    ( spl0_111
  <=> c0_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f738,plain,
    ( c0_1(a2402)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,plain,
    ( spl0_111
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f85,f386,f736]) ).

fof(f741,definition,
    ( spl0_112
  <=> c1_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f743,plain,
    ( c1_1(a2403)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f744,plain,
    ( spl0_112
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f84,f338,f741]) ).

fof(f746,definition,
    ( spl0_113
  <=> c2_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f748,plain,
    ( c2_1(a2405)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( spl0_113
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f83,f333,f746]) ).

fof(f751,definition,
    ( spl0_114
  <=> c0_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f753,plain,
    ( c0_1(a2405)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f754,plain,
    ( spl0_114
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f82,f333,f751]) ).

fof(f761,definition,
    ( spl0_116
  <=> c3_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f763,plain,
    ( c3_1(a2408)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( spl0_116
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f80,f361,f761]) ).

fof(f766,definition,
    ( spl0_117
  <=> c0_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f768,plain,
    ( c0_1(a2408)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( spl0_117
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f79,f361,f766]) ).

fof(f771,definition,
    ( spl0_118
  <=> c1_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f773,plain,
    ( c1_1(a2410)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,plain,
    ( spl0_118
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f78,f412,f771]) ).

fof(f776,definition,
    ( spl0_119
  <=> c0_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f778,plain,
    ( c0_1(a2410)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_119
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f77,f412,f776]) ).

fof(f781,definition,
    ( spl0_120
  <=> c2_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f783,plain,
    ( c2_1(a2411)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_120
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f76,f302,f781]) ).

fof(f786,definition,
    ( spl0_121
  <=> c1_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f788,plain,
    ( c1_1(a2412)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( spl0_121
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f75,f477,f786]) ).

fof(f791,definition,
    ( spl0_122
  <=> c2_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f793,plain,
    ( c2_1(a2413)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( spl0_122
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f74,f434,f791]) ).

fof(f796,definition,
    ( spl0_123
  <=> c0_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f798,plain,
    ( c0_1(a2414)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( spl0_123
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f73,f284,f796]) ).

fof(f801,definition,
    ( spl0_124
  <=> c3_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f803,plain,
    ( c3_1(a2416)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( spl0_124
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f72,f391,f801]) ).

fof(f806,definition,
    ( spl0_125
  <=> c3_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f808,plain,
    ( c3_1(a2417)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( spl0_125
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f71,f311,f806]) ).

fof(f811,definition,
    ( spl0_126
  <=> c2_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f813,plain,
    ( c2_1(a2418)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( spl0_126
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f70,f470,f811]) ).

fof(f816,definition,
    ( spl0_127
  <=> c1_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f818,plain,
    ( c1_1(a2418)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_127
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f69,f470,f816]) ).

fof(f821,definition,
    ( spl0_128
  <=> c2_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f823,plain,
    ( c2_1(a2420)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_128
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f68,f324,f821]) ).

fof(f826,definition,
    ( spl0_129
  <=> c1_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f828,plain,
    ( c1_1(a2420)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_129
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f67,f324,f826]) ).

fof(f831,definition,
    ( spl0_130
  <=> c3_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f833,plain,
    ( c3_1(a2422)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_130
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f66,f319,f831]) ).

fof(f836,definition,
    ( spl0_131
  <=> c1_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f838,plain,
    ( c1_1(a2422)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_131
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f65,f319,f836]) ).

fof(f841,definition,
    ( spl0_132
  <=> c0_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f843,plain,
    ( c0_1(a2425)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f844,plain,
    ( spl0_132
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f64,f455,f841]) ).

fof(f846,definition,
    ( spl0_133
  <=> c3_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f848,plain,
    ( c3_1(a2427)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( spl0_133
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f63,f446,f846]) ).

fof(f851,definition,
    ( spl0_134
  <=> c2_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f854,plain,
    ( spl0_134
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f62,f446,f851]) ).

fof(f856,definition,
    ( spl0_135
  <=> c3_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f858,plain,
    ( c3_1(a2432)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f859,plain,
    ( spl0_135
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f61,f346,f856]) ).

fof(f861,definition,
    ( spl0_136
  <=> c1_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f863,plain,
    ( c1_1(a2432)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( spl0_136
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f60,f346,f861]) ).

fof(f866,definition,
    ( spl0_137
  <=> c3_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f868,plain,
    ( c3_1(a2435)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( spl0_137
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f59,f273,f866]) ).

fof(f871,definition,
    ( spl0_138
  <=> c2_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f873,plain,
    ( c2_1(a2437)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( spl0_138
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f58,f396,f871]) ).

fof(f876,definition,
    ( spl0_139
  <=> c0_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f878,plain,
    ( c0_1(a2437)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( spl0_139
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f57,f396,f876]) ).

fof(f881,definition,
    ( spl0_140
  <=> c3_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f883,plain,
    ( c3_1(a2455)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( spl0_140
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f56,f375,f881]) ).

fof(f886,definition,
    ( spl0_141
  <=> c2_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f888,plain,
    ( c2_1(a2455)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_141
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f55,f375,f886]) ).

fof(f891,definition,
    ( spl0_142
  <=> c1_1(a2468) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f893,plain,
    ( c1_1(a2468)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( spl0_142
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f54,f407,f891]) ).

fof(f896,definition,
    ( spl0_143
  <=> c2_1(a2478) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f898,plain,
    ( c2_1(a2478)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( spl0_143
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f53,f425,f896]) ).

fof(f901,definition,
    ( spl0_144
  <=> c1_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f903,plain,
    ( c1_1(a2484)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f904,plain,
    ( spl0_144
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f52,f420,f901]) ).

fof(f906,definition,
    ( spl0_145
  <=> c0_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f909,plain,
    ( spl0_145
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f51,f420,f906]) ).

fof(f926,definition,
    ( spl0_149
  <=> c3_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f928,plain,
    ( c3_1(a2409)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( spl0_149
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f47,f353,f926]) ).

fof(f931,definition,
    ( spl0_150
  <=> c2_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f934,plain,
    ( spl0_150
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f46,f353,f931]) ).

fof(f936,definition,
    ( spl0_151
  <=> c0_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f938,plain,
    ( c0_1(a2409)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f939,plain,
    ( spl0_151
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f45,f353,f936]) ).

fof(f941,definition,
    ( spl0_152
  <=> c3_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f943,plain,
    ( c3_1(a2450)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f944,plain,
    ( spl0_152
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f44,f289,f941]) ).

fof(f946,definition,
    ( spl0_153
  <=> c1_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f948,plain,
    ( c1_1(a2450)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( spl0_153
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f43,f289,f946]) ).

fof(f951,definition,
    ( spl0_154
  <=> c0_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f953,plain,
    ( c0_1(a2450)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_154
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f42,f289,f951]) ).

fof(f974,plain,
    ( spl0_27
    | spl0_54
    | spl0_60 ),
    inference(avatar_split_clause,[],[f38,f477,f434,f302]) ).

fof(f975,plain,
    ( spl0_53
    | spl0_37
    | spl0_40 ),
    inference(avatar_split_clause,[],[f37,f361,f346,f425]) ).

fof(f978,plain,
    ( spl0_37
    | spl0_52
    | spl0_24 ),
    inference(avatar_split_clause,[],[f34,f289,f420,f346]) ).

fof(f999,plain,
    ( spl0_3
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f13,f346,f212]) ).

fof(f1006,plain,
    ( spl0_3
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f6,f420,f212]) ).

fof(f1010,plain,
    ( spl0_3
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f2,f289,f212]) ).

fof(f1012,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f234,f217]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f247,f241]) ).

fof(f1014,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f265,f244]) ).

fof(f1015,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f307,f217]) ).

fof(f1027,plain,
    ( ~ c0_1(a2403)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(resolution,[],[f1012,f743]) ).

fof(f1028,plain,
    ( c2_1(a2422)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(resolution,[],[f1013,f838]) ).

fof(f1036,plain,
    ( ~ c1_1(a2422)
    | ~ spl0_4
    | ~ spl0_28
    | ~ spl0_130 ),
    inference(resolution,[],[f1015,f833]) ).

fof(f1037,plain,
    ( ~ c1_1(a2432)
    | ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(resolution,[],[f1015,f858]) ).

fof(f1038,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1037,f863]) ).

fof(f1039,plain,
    ( ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1040,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_28
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1036,f838]) ).

fof(f1041,plain,
    ( ~ spl0_4
    | ~ spl0_28
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f257,f224]) ).

fof(f1057,plain,
    ( ~ c0_1(a2410)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(resolution,[],[f773,f1012]) ).

fof(f1061,plain,
    ( c2_1(a2422)
    | ~ spl0_6
    | ~ spl0_16
    | ~ spl0_131 ),
    inference(resolution,[],[f1042,f838]) ).

fof(f1062,plain,
    ( c2_1(a2410)
    | ~ spl0_6
    | ~ spl0_16
    | ~ spl0_118 ),
    inference(resolution,[],[f1042,f773]) ).

fof(f1068,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_16
    | spl0_86
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1061,f614]) ).

fof(f1069,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_86
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1071,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f257,f343]) ).

fof(f1078,plain,
    ( c2_1(a2432)
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(resolution,[],[f1071,f858]) ).

fof(f1081,plain,
    ( c2_1(a2416)
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f1071,f803]) ).

fof(f1086,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f210,f278]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f227,f299]) ).

fof(f1090,plain,
    ( c3_1(a2405)
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_114 ),
    inference(resolution,[],[f1086,f753]) ).

fof(f1092,plain,
    ( c3_1(a2414)
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(resolution,[],[f1086,f798]) ).

fof(f1097,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f210,f251]) ).

fof(f1109,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f307,f261]) ).

fof(f1122,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_135 ),
    inference(resolution,[],[f1089,f858]) ).

fof(f1137,plain,
    ( c2_1(a2403)
    | ~ spl0_2
    | ~ spl0_14
    | spl0_62 ),
    inference(resolution,[],[f1097,f494]) ).

fof(f1140,plain,
    ( c2_1(a2404)
    | ~ spl0_2
    | ~ spl0_14
    | spl0_64 ),
    inference(resolution,[],[f1097,f504]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f1137,f499]) ).

fof(f1146,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1149,plain,
    ( c0_1(a2432)
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(resolution,[],[f1109,f858]) ).

fof(f1152,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_28
    | spl0_93
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1149,f649]) ).

fof(f1153,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_93
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1154,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f254,f270]) ).

fof(f1155,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f316,f299]) ).

fof(f1161,plain,
    ( c0_1(a2435)
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_137 ),
    inference(resolution,[],[f1155,f868]) ).

fof(f1168,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_30
    | spl0_95
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1161,f659]) ).

fof(f1169,plain,
    ( ~ spl0_26
    | ~ spl0_30
    | spl0_95
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1168]) ).

fof(f1174,plain,
    ( c3_1(a2410)
    | c2_1(a2410)
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(resolution,[],[f210,f778]) ).

fof(f1182,plain,
    ( ~ c0_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f217,f943]) ).

fof(f1186,plain,
    ( ~ c0_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_4
    | ~ spl0_130 ),
    inference(resolution,[],[f217,f833]) ).

fof(f1188,plain,
    ( ~ c0_1(a2422)
    | ~ spl0_4
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1186,f838]) ).

fof(f1189,plain,
    ( ~ c1_1(a2450)
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1182,f953]) ).

fof(f1190,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1189,f948]) ).

fof(f1191,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1198,plain,
    ( c3_1(a2403)
    | c2_1(a2403)
    | ~ spl0_6
    | ~ spl0_112 ),
    inference(resolution,[],[f224,f743]) ).

fof(f1199,plain,
    ( c2_1(a2403)
    | ~ spl0_6
    | spl0_62
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1198,f494]) ).

fof(f1200,plain,
    ( $false
    | ~ spl0_6
    | spl0_62
    | spl0_63
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1199,f499]) ).

fof(f1201,plain,
    ( ~ spl0_6
    | spl0_62
    | spl0_63
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1200]) ).

fof(f1202,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f207,f237]) ).

fof(f1204,plain,
    ( c0_1(a2413)
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f793,f1154]) ).

fof(f1226,plain,
    ( c0_1(a2478)
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_143 ),
    inference(resolution,[],[f898,f1154]) ).

fof(f1237,plain,
    ( spl0_86
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1028,f836,f246,f240,f612]) ).

fof(f1308,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f329,f207]) ).

fof(f1317,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f234,f231]) ).

fof(f1342,plain,
    ( c3_1(a2425)
    | c2_1(a2425)
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(resolution,[],[f843,f210]) ).

fof(f1343,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(resolution,[],[f883,f1089]) ).

fof(f1389,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f265,f270]) ).

fof(f1534,plain,
    ( c1_1(a2413)
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(resolution,[],[f1308,f793]) ).

fof(f1570,plain,
    ( c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f207,f883]) ).

fof(f1573,plain,
    ( c1_1(a2427)
    | ~ c2_1(a2427)
    | ~ spl0_1
    | ~ spl0_133 ),
    inference(resolution,[],[f207,f848]) ).

fof(f1576,plain,
    ( c1_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_1
    | ~ spl0_125 ),
    inference(resolution,[],[f207,f808]) ).

fof(f1585,plain,
    ( ~ c2_1(a2417)
    | ~ spl0_1
    | spl0_82
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f1576,f594]) ).

fof(f1587,plain,
    ( ~ c2_1(a2427)
    | ~ spl0_1
    | spl0_89
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1573,f629]) ).

fof(f1588,plain,
    ( c1_1(a2455)
    | ~ spl0_1
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f1570,f888]) ).

fof(f1633,plain,
    ( c1_1(a2413)
    | c0_1(a2413)
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f270,f793]) ).

fof(f1639,definition,
    ( spl0_161
  <=> c0_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1640,plain,
    ( ~ c0_1(a2403)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f1645,plain,
    ( c0_1(a2413)
    | ~ spl0_19
    | spl0_76
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1633,f564]) ).

fof(f1647,definition,
    ( spl0_162
  <=> c0_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1648,plain,
    ( ~ c0_1(a2422)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1647]) ).

fof(f1649,plain,
    ( c0_1(a2422)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1647]) ).

fof(f1656,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f265,f241]) ).

fof(f1659,plain,
    ( c0_1(a2435)
    | ~ spl0_11
    | ~ spl0_18
    | spl0_94 ),
    inference(resolution,[],[f1656,f654]) ).

fof(f1663,plain,
    ( c0_1(a2417)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | ~ spl0_125 ),
    inference(resolution,[],[f1656,f1585]) ).

fof(f1668,plain,
    ( c0_1(a2428)
    | ~ spl0_11
    | ~ spl0_18
    | spl0_91 ),
    inference(resolution,[],[f1656,f639]) ).

fof(f1670,plain,
    ( spl0_92
    | ~ spl0_11
    | ~ spl0_18
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1668,f637,f264,f240,f642]) ).

fof(f1671,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f1663,f599]) ).

fof(f1672,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1675,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_18
    | spl0_94
    | spl0_95 ),
    inference(forward_subsumption_resolution,[],[f1659,f659]) ).

fof(f1676,plain,
    ( ~ spl0_11
    | ~ spl0_18
    | spl0_94
    | spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1678,plain,
    ( spl0_77
    | ~ spl0_19
    | spl0_76
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1645,f791,f562,f269,f567]) ).

fof(f1735,plain,
    ( c2_1(a2432)
    | c0_1(a2432)
    | ~ spl0_11
    | ~ spl0_136 ),
    inference(resolution,[],[f863,f241]) ).

fof(f1768,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_19
    | spl0_104
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1226,f704]) ).

fof(f1769,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_104
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1789,plain,
    ( c0_1(a2455)
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_141 ),
    inference(resolution,[],[f1154,f888]) ).

fof(f1806,plain,
    ( c1_1(a2437)
    | ~ c0_1(a2437)
    | ~ spl0_5
    | ~ spl0_138 ),
    inference(resolution,[],[f221,f873]) ).

fof(f1823,plain,
    ( ~ c0_1(a2437)
    | ~ spl0_5
    | spl0_96
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f1806,f664]) ).

fof(f1829,plain,
    ( $false
    | ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1823,f878]) ).

fof(f1830,plain,
    ( ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1829]) ).

fof(f1837,plain,
    ( c2_1(a2403)
    | c0_1(a2403)
    | ~ spl0_11
    | ~ spl0_112 ),
    inference(resolution,[],[f743,f241]) ).

fof(f1857,plain,
    ( c3_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_21
    | ~ spl0_113 ),
    inference(resolution,[],[f278,f748]) ).

fof(f1859,plain,
    ( ~ c0_1(a2405)
    | ~ spl0_21
    | spl0_67
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1857,f519]) ).

fof(f1860,plain,
    ( $false
    | ~ spl0_21
    | spl0_67
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1859,f753]) ).

fof(f1861,plain,
    ( ~ spl0_21
    | spl0_67
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1879,plain,
    ( c0_1(a2428)
    | c2_1(a2428)
    | ~ spl0_14
    | spl0_90 ),
    inference(resolution,[],[f634,f251]) ).

fof(f1880,plain,
    ( c2_1(a2428)
    | ~ spl0_14
    | spl0_90
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f1879,f644]) ).

fof(f1881,plain,
    ( $false
    | ~ spl0_14
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f1880,f639]) ).

fof(f1882,plain,
    ( ~ spl0_14
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1889,plain,
    ( ~ c2_1(a2450)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(resolution,[],[f1202,f943]) ).

fof(f1894,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(resolution,[],[f1202,f858]) ).

fof(f1991,plain,
    ( c3_1(a2414)
    | c1_1(a2414)
    | ~ spl0_8
    | ~ spl0_123 ),
    inference(resolution,[],[f231,f798]) ).

fof(f2002,definition,
    ( spl0_163
  <=> c3_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f2003,plain,
    ( ~ c3_1(a2410)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f2002]) ).

fof(f2004,plain,
    ( c3_1(a2410)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f2002]) ).

fof(f2012,plain,
    ( c1_1(a2414)
    | ~ spl0_8
    | spl0_78
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1991,f574]) ).

fof(f2016,plain,
    ( $false
    | ~ spl0_8
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2012,f579]) ).

fof(f2017,plain,
    ( ~ spl0_8
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2033,plain,
    ( spl0_76
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1534,f791,f328,f206,f562]) ).

fof(f2067,plain,
    ( c1_1(a2411)
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(resolution,[],[f1308,f783]) ).

fof(f2077,plain,
    ( c3_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_9
    | ~ spl0_144 ),
    inference(resolution,[],[f234,f903]) ).

fof(f2083,plain,
    ( c3_1(a2420)
    | ~ c0_1(a2420)
    | ~ spl0_9
    | ~ spl0_129 ),
    inference(resolution,[],[f234,f828]) ).

fof(f2088,plain,
    ( ~ c0_1(a2420)
    | ~ spl0_9
    | spl0_85
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2083,f609]) ).

fof(f2133,plain,
    ( c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(resolution,[],[f299,f883]) ).

fof(f2135,plain,
    ( c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_26
    | ~ spl0_135 ),
    inference(resolution,[],[f299,f858]) ).

fof(f2144,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2135,f649]) ).

fof(f2145,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_26
    | spl0_100
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2133,f684]) ).

fof(f2154,plain,
    ( spl0_67
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1090,f751,f277,f209,f517]) ).

fof(f2155,plain,
    ( spl0_78
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1092,f796,f277,f209,f572]) ).

fof(f2156,plain,
    ( spl0_65
    | ~ spl0_2
    | ~ spl0_14
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1140,f502,f250,f209,f507]) ).

fof(f2161,plain,
    ( spl0_73
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2067,f781,f328,f206,f547]) ).

fof(f2165,plain,
    ( c2_1(a2432)
    | ~ spl0_11
    | spl0_93
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1735,f649]) ).

fof(f2169,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2165,f2144]) ).

fof(f2170,plain,
    ( ~ spl0_11
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2169]) ).

fof(f2185,plain,
    ( c2_1(a2412)
    | c0_1(a2412)
    | ~ spl0_11
    | ~ spl0_121 ),
    inference(resolution,[],[f788,f241]) ).

fof(f2187,plain,
    ( c0_1(a2412)
    | ~ spl0_11
    | spl0_74
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2185,f554]) ).

fof(f2190,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f221,f244]) ).

fof(f2199,plain,
    ( ~ spl0_141
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1343,f881,f298,f226,f886]) ).

fof(f2208,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f343,f1089]) ).

fof(f2209,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f231,f1389]) ).

fof(f2220,plain,
    ( c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_14
    | spl0_62 ),
    inference(resolution,[],[f494,f251]) ).

fof(f2260,plain,
    ( c1_1(a2407)
    | ~ spl0_12
    | ~ spl0_18
    | spl0_68 ),
    inference(resolution,[],[f1014,f524]) ).

fof(f2263,plain,
    ( c1_1(a2404)
    | ~ spl0_12
    | ~ spl0_18
    | spl0_65 ),
    inference(resolution,[],[f1014,f509]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_18
    | spl0_65
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f2263,f514]) ).

fof(f2266,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_65
    | spl0_66 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2269,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_18
    | spl0_68
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f2260,f529]) ).

fof(f2270,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_68
    | spl0_69 ),
    inference(avatar_contradiction_clause,[],[f2269]) ).

fof(f2345,plain,
    ( c1_1(a2404)
    | ~ spl0_8
    | ~ spl0_18
    | ~ spl0_19
    | spl0_64 ),
    inference(resolution,[],[f2209,f504]) ).

fof(f2347,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_18
    | ~ spl0_19
    | spl0_64
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f2345,f514]) ).

fof(f2348,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | ~ spl0_19
    | spl0_64
    | spl0_66 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2377,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f254,f1656]) ).

fof(f2424,plain,
    ( c0_1(a2468)
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_142 ),
    inference(resolution,[],[f2377,f893]) ).

fof(f2446,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | spl0_102
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f2424,f694]) ).

fof(f2447,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | spl0_102
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2446]) ).

fof(f2474,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f210,f1656]) ).

fof(f2476,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f329,f1089]) ).

fof(f2501,plain,
    ( c2_1(a2422)
    | c0_1(a2422)
    | ~ spl0_11
    | ~ spl0_131 ),
    inference(resolution,[],[f838,f241]) ).

fof(f2504,plain,
    ( c0_1(a2455)
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_140 ),
    inference(resolution,[],[f1109,f883]) ).

fof(f2516,plain,
    ( c1_1(a2417)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(resolution,[],[f2208,f808]) ).

fof(f2517,plain,
    ( c1_1(a2416)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f2208,f803]) ).

fof(f2519,plain,
    ( c1_1(a2408)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f2208,f763]) ).

fof(f2544,plain,
    ( c2_1(a2404)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64 ),
    inference(resolution,[],[f2474,f504]) ).

fof(f2545,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f2544,f509]) ).

fof(f2546,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64
    | spl0_65 ),
    inference(avatar_contradiction_clause,[],[f2545]) ).

fof(f2573,plain,
    ( c1_1(a2437)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_138 ),
    inference(resolution,[],[f2476,f873]) ).

fof(f2593,plain,
    ( ~ c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_22
    | ~ spl0_128 ),
    inference(resolution,[],[f281,f823]) ).

fof(f2600,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_22
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2593,f2377]) ).

fof(f2609,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_22
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2600,f828]) ).

fof(f2610,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_22
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2609]) ).

fof(f2630,plain,
    ( ~ spl0_161
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1027,f741,f233,f216,f1639]) ).

fof(f2633,plain,
    ( ~ spl0_119
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1057,f771,f233,f216,f776]) ).

fof(f2638,plain,
    ( ~ c0_1(a2484)
    | ~ spl0_9
    | spl0_105
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2077,f709]) ).

fof(f2676,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f1188,f1649]) ).

fof(f2677,plain,
    ( ~ spl0_4
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

fof(f2680,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f237,f257]) ).

fof(f2690,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f261,f358]) ).

fof(f2691,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f217,f358]) ).

fof(f2701,plain,
    ( ~ spl0_145
    | ~ spl0_9
    | spl0_105
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2638,f901,f707,f233,f906]) ).

fof(f2719,plain,
    ( c1_1(a2416)
    | ~ spl0_17
    | ~ spl0_39
    | ~ spl0_124 ),
    inference(resolution,[],[f2690,f803]) ).

fof(f2744,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_28
    | spl0_100
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2504,f684]) ).

fof(f2745,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_100
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2744]) ).

fof(f2777,plain,
    ( c3_1(a2425)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_132 ),
    inference(resolution,[],[f1317,f843]) ).

fof(f2790,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | spl0_87
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2777,f619]) ).

fof(f2791,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_87
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f2790]) ).

fof(f2799,plain,
    ( ~ c2_1(a2409)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149 ),
    inference(resolution,[],[f1202,f928]) ).

fof(f2823,definition,
    ( spl0_167
  <=> c1_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f2831,plain,
    ( spl0_81
    | ~ spl0_17
    | ~ spl0_39
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2719,f801,f357,f260,f587]) ).

fof(f2832,plain,
    ( spl0_167
    | ~ spl0_1
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1588,f886,f881,f206,f2823]) ).

fof(f2866,plain,
    ( ~ c0_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_7
    | ~ spl0_149 ),
    inference(resolution,[],[f227,f928]) ).

fof(f2877,plain,
    ( ~ c0_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_7
    | ~ spl0_110 ),
    inference(resolution,[],[f227,f733]) ).

fof(f2878,plain,
    ( ~ c2_1(a2402)
    | ~ spl0_7
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f2877,f738]) ).

fof(f2879,plain,
    ( ~ c2_1(a2409)
    | ~ spl0_7
    | ~ spl0_149
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f2866,f938]) ).

fof(f2915,plain,
    ( c2_1(a2450)
    | ~ c0_1(a2450)
    | ~ spl0_13
    | ~ spl0_153 ),
    inference(resolution,[],[f247,f948]) ).

fof(f2926,plain,
    ( c2_1(a2410)
    | ~ c0_1(a2410)
    | ~ spl0_13
    | ~ spl0_118 ),
    inference(resolution,[],[f247,f773]) ).

fof(f2929,plain,
    ( ~ c0_1(a2410)
    | ~ spl0_13
    | spl0_71
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2926,f539]) ).

fof(f2945,plain,
    ( c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_15
    | ~ spl0_141 ),
    inference(resolution,[],[f254,f888]) ).

fof(f2948,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_15
    | ~ spl0_128 ),
    inference(resolution,[],[f254,f823]) ).

fof(f2949,plain,
    ( c0_1(a2418)
    | ~ c1_1(a2418)
    | ~ spl0_15
    | ~ spl0_126 ),
    inference(resolution,[],[f254,f813]) ).

fof(f2954,plain,
    ( ~ c1_1(a2418)
    | ~ spl0_15
    | spl0_84
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2949,f604]) ).

fof(f2955,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_9
    | ~ spl0_15
    | spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2948,f2088]) ).

fof(f2956,plain,
    ( ~ c1_1(a2455)
    | ~ spl0_15
    | spl0_100
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2945,f684]) ).

fof(f2961,plain,
    ( $false
    | ~ spl0_15
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2954,f818]) ).

fof(f2962,plain,
    ( ~ spl0_15
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2961]) ).

fof(f2963,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_15
    | spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2955,f828]) ).

fof(f2964,plain,
    ( ~ spl0_9
    | ~ spl0_15
    | spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2963]) ).

fof(f2975,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f417,f224]) ).

fof(f3022,plain,
    ( ~ c0_1(a2408)
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116 ),
    inference(resolution,[],[f2691,f763]) ).

fof(f3023,plain,
    ( ~ c0_1(a2402)
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(resolution,[],[f2691,f733]) ).

fof(f3025,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3022,f768]) ).

fof(f3026,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3025]) ).

fof(f3039,definition,
    ( spl0_168
  <=> c2_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f3041,plain,
    ( ~ c2_1(a2402)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f3039]) ).

fof(f3043,plain,
    ( ~ spl0_141
    | ~ spl0_26
    | spl0_100
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2145,f881,f682,f298,f886]) ).

fof(f3047,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3023,f738]) ).

fof(f3048,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3047]) ).

fof(f3054,plain,
    ( c2_1(a2425)
    | ~ spl0_2
    | spl0_87
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1342,f619]) ).

fof(f3057,plain,
    ( ~ spl0_168
    | ~ spl0_7
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2878,f736,f731,f226,f3039]) ).

fof(f3061,plain,
    ( ~ spl0_167
    | ~ spl0_15
    | spl0_100
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2956,f886,f682,f253,f2823]) ).

fof(f3065,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f417,f237]) ).

fof(f3067,plain,
    ( $false
    | ~ spl0_2
    | spl0_87
    | spl0_88
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3054,f624]) ).

fof(f3068,plain,
    ( ~ spl0_2
    | spl0_87
    | spl0_88
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3067]) ).

fof(f3078,plain,
    ( ~ spl0_134
    | ~ spl0_1
    | spl0_89
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1587,f846,f627,f206,f851]) ).

fof(f3081,plain,
    ( ~ spl0_150
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2799,f926,f236,f206,f931]) ).

fof(f3098,plain,
    ( ~ c0_1(a2450)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2915,f1889]) ).

fof(f3099,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f3098,f953]) ).

fof(f3100,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3099]) ).

fof(f3103,plain,
    ( ! [X0] : ~ c3_1(X0)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f1071,f1202]) ).

fof(f3104,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1078,f1894]) ).

fof(f3105,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3104]) ).

fof(f3108,plain,
    ( spl0_80
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1081,f801,f342,f256,f582]) ).

fof(f3145,plain,
    ( c0_1(a2403)
    | ~ spl0_11
    | spl0_63
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1837,f499]) ).

fof(f3150,plain,
    ( spl0_75
    | ~ spl0_11
    | spl0_74
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2187,f786,f552,f240,f557]) ).

fof(f3152,plain,
    ( c0_1(a2422)
    | ~ spl0_11
    | spl0_86
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2501,f614]) ).

fof(f3161,plain,
    ( $false
    | ~ spl0_11
    | spl0_63
    | ~ spl0_112
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3145,f1640]) ).

fof(f3162,plain,
    ( ~ spl0_11
    | spl0_63
    | ~ spl0_112
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3161]) ).

fof(f3169,plain,
    ( $false
    | ~ spl0_11
    | spl0_86
    | ~ spl0_131
    | spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3152,f1648]) ).

fof(f3170,plain,
    ( ~ spl0_11
    | spl0_86
    | ~ spl0_131
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3169]) ).

fof(f3184,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(resolution,[],[f3103,f808]) ).

fof(f3186,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_163 ),
    inference(resolution,[],[f3103,f2004]) ).

fof(f3187,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f3103,f763]) ).

fof(f3190,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3187]) ).

fof(f3191,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3186]) ).

fof(f3193,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3184]) ).

fof(f3200,plain,
    ( ! [X0] : ~ c1_1(X0)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1042,f3065]) ).

fof(f3201,plain,
    ( spl0_71
    | ~ spl0_6
    | ~ spl0_16
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1062,f771,f256,f223,f537]) ).

fof(f3217,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_153 ),
    inference(resolution,[],[f3200,f948]) ).

fof(f3218,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(resolution,[],[f3200,f903]) ).

fof(f3219,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_142 ),
    inference(resolution,[],[f3200,f893]) ).

fof(f3230,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3219]) ).

fof(f3231,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3218]) ).

fof(f3232,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3217]) ).

fof(f3235,plain,
    ( c2_1(a2410)
    | ~ spl0_2
    | ~ spl0_119
    | spl0_163 ),
    inference(forward_subsumption_resolution,[],[f1174,f2003]) ).

fof(f3241,plain,
    ( $false
    | ~ spl0_2
    | spl0_71
    | ~ spl0_119
    | spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3235,f539]) ).

fof(f3242,plain,
    ( ~ spl0_2
    | spl0_71
    | ~ spl0_119
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3241]) ).

fof(f3256,plain,
    ( c1_1(a2402)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_111 ),
    inference(resolution,[],[f2190,f738]) ).

fof(f3257,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_12
    | spl0_61
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3256,f489]) ).

fof(f3258,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | spl0_61
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3257]) ).

fof(f3271,plain,
    ( ~ c1_1(a2422)
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(resolution,[],[f2680,f833]) ).

fof(f3275,plain,
    ( ~ c1_1(a2408)
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_116 ),
    inference(resolution,[],[f2680,f763]) ).

fof(f3280,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f3271,f838]) ).

fof(f3281,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3298,plain,
    ( spl0_82
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2516,f806,f342,f298,f226,f592]) ).

fof(f3299,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | spl0_81
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f2517,f589]) ).

fof(f3300,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | spl0_81
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3299]) ).

fof(f3301,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2519,f3275]) ).

fof(f3302,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3301]) ).

fof(f3305,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_33
    | spl0_96
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f2573,f664]) ).

fof(f3306,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_33
    | spl0_96
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f3305]) ).

fof(f3330,plain,
    ( ~ spl0_119
    | ~ spl0_13
    | spl0_71
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2929,f771,f537,f246,f776]) ).

fof(f3336,plain,
    ( spl0_77
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1204,f791,f269,f253,f567]) ).

fof(f3341,plain,
    ( spl0_100
    | ~ spl0_15
    | ~ spl0_19
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1789,f886,f269,f253,f682]) ).

fof(f3348,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1078,f1122]) ).

fof(f3349,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3348]) ).

fof(f3404,plain,
    ( c2_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(resolution,[],[f257,f833]) ).

fof(f3407,plain,
    ( ~ c1_1(a2422)
    | ~ spl0_16
    | spl0_86
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3404,f614]) ).

fof(f3410,plain,
    ( $false
    | ~ spl0_16
    | spl0_86
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f3407,f838]) ).

fof(f3411,plain,
    ( ~ spl0_16
    | spl0_86
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3410]) ).

fof(f3479,plain,
    ( c3_1(a2420)
    | ~ spl0_6
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(resolution,[],[f2975,f828]) ).

fof(f3485,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_51
    | spl0_85
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f3479,f609]) ).

fof(f3486,plain,
    ( ~ spl0_6
    | ~ spl0_51
    | spl0_85
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f3485]) ).

fof(f3528,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ spl0_17
    | ~ spl0_125 ),
    inference(resolution,[],[f261,f808]) ).

fof(f3535,plain,
    ( c0_1(a2417)
    | ~ spl0_17
    | spl0_82
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f3528,f594]) ).

fof(f3538,plain,
    ( $false
    | ~ spl0_17
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f3535,f599]) ).

fof(f3539,plain,
    ( ~ spl0_17
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3538]) ).

fof(f3556,plain,
    ( c0_1(a2453)
    | c1_1(a2453)
    | ~ spl0_18
    | spl0_97 ),
    inference(resolution,[],[f265,f669]) ).

fof(f3559,plain,
    ( c1_1(a2453)
    | ~ spl0_18
    | spl0_97
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3556,f679]) ).

fof(f3560,plain,
    ( $false
    | ~ spl0_18
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3559,f674]) ).

fof(f3561,plain,
    ( ~ spl0_18
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f3560]) ).

fof(f3594,plain,
    ( c2_1(a2416)
    | c1_1(a2416)
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f343,f803]) ).

fof(f3595,plain,
    ( c2_1(a2408)
    | c1_1(a2408)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f343,f763]) ).

fof(f3597,plain,
    ( c2_1(a2402)
    | c1_1(a2402)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f343,f733]) ).

fof(f3600,plain,
    ( c1_1(a2402)
    | ~ spl0_36
    | ~ spl0_110
    | spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3597,f3041]) ).

fof(f3601,plain,
    ( c1_1(a2408)
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f3595,f534]) ).

fof(f3602,plain,
    ( c1_1(a2416)
    | ~ spl0_36
    | spl0_80
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3594,f584]) ).

fof(f3604,plain,
    ( $false
    | ~ spl0_36
    | spl0_61
    | ~ spl0_110
    | spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3600,f489]) ).

fof(f3605,plain,
    ( ~ spl0_36
    | spl0_61
    | ~ spl0_110
    | spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3604]) ).

fof(f3606,plain,
    ( $false
    | ~ spl0_36
    | spl0_80
    | spl0_81
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3602,f589]) ).

fof(f3607,plain,
    ( ~ spl0_36
    | spl0_80
    | spl0_81
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3606]) ).

fof(f3645,plain,
    ( ~ c0_1(a2408)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116 ),
    inference(resolution,[],[f3601,f1012]) ).

fof(f3646,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3645,f768]) ).

fof(f3647,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3646]) ).

fof(f3650,plain,
    ( ~ spl0_150
    | ~ spl0_7
    | ~ spl0_149
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2879,f936,f926,f226,f931]) ).

fof(f3660,plain,
    ( c2_1(a2403)
    | ~ spl0_14
    | spl0_62
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f2220,f1640]) ).

fof(f3666,plain,
    ( $false
    | ~ spl0_14
    | spl0_62
    | spl0_63
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3660,f499]) ).

fof(f3667,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_63
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3666]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f218]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s8,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_10
    | spl0_23 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_16
    | spl0_24 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s13,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_20
    | spl0_28 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_25
    | spl0_33 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s21,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_15
    | spl0_37 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_25
    | spl0_30 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_17
    | spl0_23 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_28
    | spl0_41 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_36
    | spl0_43 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s32,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_18
    | spl0_35 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_31
    | spl0_46 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_20
    | spl0_48 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_32
    | spl0_43 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_34
    | spl0_49 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_43
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_50
    | spl0_52 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s44,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_31
    | spl0_49 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s45,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_47
    | spl0_50 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_35
    | spl0_54 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_47
    | spl0_56 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_29
    | spl0_46 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s54,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_37
    | spl0_40 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_33
    | spl0_57 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_45
    | spl0_54 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_40
    | spl0_58 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_24
    | spl0_47 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_31 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_48
    | spl0_56 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_38
    | spl0_45 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_27
    | spl0_50 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_32
    | spl0_35 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_35
    | spl0_59 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s69,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_29 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s71,plain,
    ( ~ spl0_45
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s72,plain,
    ( ~ spl0_35
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s73,plain,
    ( ~ spl0_35
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s74,plain,
    ( ~ spl0_25
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s75,plain,
    ( ~ spl0_25
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s76,plain,
    ( ~ spl0_25
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s77,plain,
    ( ~ spl0_34
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s78,plain,
    ( ~ spl0_41
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s79,plain,
    ( ~ spl0_41
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s80,plain,
    ( ~ spl0_40
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s81,plain,
    ( ~ spl0_50
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s83,plain,
    ( ~ spl0_27
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s84,plain,
    ( ~ spl0_60
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s85,plain,
    ( ~ spl0_60
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s86,plain,
    ( ~ spl0_54
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s87,plain,
    ( ~ spl0_54
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s88,plain,
    ( ~ spl0_23
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s89,plain,
    ( ~ spl0_23
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s90,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s91,plain,
    ( ~ spl0_46
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s92,plain,
    ( ~ spl0_29
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s93,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s94,plain,
    ( ~ spl0_59
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s95,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s96,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s97,plain,
    ( ~ spl0_57
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s98,plain,
    ( ~ spl0_57
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s99,plain,
    ( ~ spl0_56
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s100,plain,
    ( ~ spl0_48
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s101,plain,
    ( ~ spl0_48
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s102,plain,
    ( ~ spl0_48
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s103,plain,
    ( ~ spl0_37
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s104,plain,
    ( ~ spl0_20
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s105,plain,
    ( ~ spl0_20
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s106,plain,
    ( ~ spl0_47
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s107,plain,
    ( ~ spl0_58
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s108,plain,
    ( ~ spl0_58
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s109,plain,
    ( ~ spl0_58
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s110,plain,
    ( ~ spl0_43
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s112,plain,
    ( ~ spl0_49
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s114,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s115,plain,
    ( ~ spl0_52
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s119,plain,
    ( ~ spl0_45
    | spl0_110 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s120,plain,
    ( ~ spl0_45
    | spl0_111 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s121,plain,
    ( ~ spl0_35
    | spl0_112 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s122,plain,
    ( ~ spl0_34
    | spl0_113 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s123,plain,
    ( ~ spl0_34
    | spl0_114 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s125,plain,
    ( ~ spl0_40
    | spl0_116 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s126,plain,
    ( ~ spl0_40
    | spl0_117 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s127,plain,
    ( ~ spl0_50
    | spl0_118 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s128,plain,
    ( ~ spl0_50
    | spl0_119 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s129,plain,
    ( ~ spl0_27
    | spl0_120 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s130,plain,
    ( ~ spl0_60
    | spl0_121 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s131,plain,
    ( ~ spl0_54
    | spl0_122 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s132,plain,
    ( ~ spl0_23
    | spl0_123 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s133,plain,
    ( ~ spl0_46
    | spl0_124 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s134,plain,
    ( ~ spl0_29
    | spl0_125 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s135,plain,
    ( ~ spl0_59
    | spl0_126 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s136,plain,
    ( ~ spl0_59
    | spl0_127 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s137,plain,
    ( ~ spl0_32
    | spl0_128 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s138,plain,
    ( ~ spl0_32
    | spl0_129 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s139,plain,
    ( ~ spl0_31
    | spl0_130 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s140,plain,
    ( ~ spl0_31
    | spl0_131 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s141,plain,
    ( ~ spl0_57
    | spl0_132 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s142,plain,
    ( ~ spl0_56
    | spl0_133 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s143,plain,
    ( ~ spl0_56
    | spl0_134 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s144,plain,
    ( ~ spl0_37
    | spl0_135 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s145,plain,
    ( ~ spl0_37
    | spl0_136 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s146,plain,
    ( ~ spl0_20
    | spl0_137 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s147,plain,
    ( ~ spl0_47
    | spl0_138 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s148,plain,
    ( ~ spl0_47
    | spl0_139 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s149,plain,
    ( ~ spl0_43
    | spl0_140 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s150,plain,
    ( ~ spl0_43
    | spl0_141 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s151,plain,
    ( ~ spl0_49
    | spl0_142 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s152,plain,
    ( ~ spl0_53
    | spl0_143 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s153,plain,
    ( ~ spl0_52
    | spl0_144 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s154,plain,
    ( ~ spl0_52
    | spl0_145 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s158,plain,
    ( ~ spl0_38
    | spl0_149 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s159,plain,
    ( ~ spl0_38
    | spl0_150 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s160,plain,
    ( ~ spl0_38
    | spl0_151 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s161,plain,
    ( ~ spl0_24
    | spl0_152 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s162,plain,
    ( ~ spl0_24
    | spl0_153 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s163,plain,
    ( ~ spl0_24
    | spl0_154 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s167,plain,
    ( spl0_27
    | spl0_54
    | spl0_60 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s168,plain,
    ( spl0_37
    | spl0_40
    | spl0_53 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s171,plain,
    ( spl0_24
    | spl0_37
    | spl0_52 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s192,plain,
    ( spl0_3
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s199,plain,
    ( spl0_3
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s203,plain,
    ( spl0_3
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s210,plain,
    ( ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s211,plain,
    ( ~ spl0_4
    | ~ spl0_28
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s218,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_86
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s232,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s233,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_93
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s235,plain,
    ( ~ spl0_26
    | ~ spl0_30
    | spl0_95
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s237,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1191]) ).

cnf(s238,plain,
    ( ~ spl0_6
    | spl0_62
    | spl0_63
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s249,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | spl0_86
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1237]) ).

cnf(s345,plain,
    ( ~ spl0_11
    | ~ spl0_18
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s346,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1672]) ).

cnf(s349,plain,
    ( ~ spl0_11
    | ~ spl0_18
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s351,plain,
    ( ~ spl0_19
    | spl0_76
    | spl0_77
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s373,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_104
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s382,plain,
    ( ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s384,plain,
    ( ~ spl0_21
    | spl0_67
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1861]) ).

cnf(s394,plain,
    ( ~ spl0_14
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s416,plain,
    ( ~ spl0_8
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2017]) ).

cnf(s427,plain,
    ( ~ spl0_1
    | ~ spl0_33
    | spl0_76
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s436,plain,
    ( ~ spl0_2
    | ~ spl0_21
    | spl0_67
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s437,plain,
    ( ~ spl0_2
    | ~ spl0_21
    | spl0_78
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s438,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s441,plain,
    ( ~ spl0_1
    | ~ spl0_33
    | spl0_73
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s443,plain,
    ( ~ spl0_11
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s448,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s463,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f2266]) ).

cnf(s465,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_68
    | spl0_69 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s470,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | ~ spl0_19
    | spl0_64
    | spl0_66 ),
    inference(sat_conversion,[],[f2348]) ).

cnf(s488,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | spl0_102
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s500,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f2546]) ).

cnf(s503,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | ~ spl0_22
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2610]) ).

cnf(s512,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_112
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s514,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2633]) ).

cnf(s533,plain,
    ( ~ spl0_4
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2677]) ).

cnf(s540,plain,
    ( ~ spl0_9
    | spl0_105
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2701]) ).

cnf(s551,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_100
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s557,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_87
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2791]) ).

cnf(s565,plain,
    ( ~ spl0_17
    | ~ spl0_39
    | spl0_81
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2831]) ).

cnf(s566,plain,
    ( ~ spl0_1
    | ~ spl0_140
    | ~ spl0_141
    | spl0_167 ),
    inference(sat_conversion,[],[f2832]) ).

cnf(s574,plain,
    ( ~ spl0_15
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2962]) ).

cnf(s575,plain,
    ( ~ spl0_9
    | ~ spl0_15
    | spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2964]) ).

cnf(s586,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f3026]) ).

cnf(s592,plain,
    ( ~ spl0_26
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3043]) ).

cnf(s593,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f3048]) ).

cnf(s596,plain,
    ( ~ spl0_7
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s598,plain,
    ( ~ spl0_15
    | spl0_100
    | ~ spl0_141
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f3061]) ).

cnf(s600,plain,
    ( ~ spl0_2
    | spl0_87
    | spl0_88
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f3068]) ).

cnf(s605,plain,
    ( ~ spl0_1
    | spl0_89
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3078]) ).

cnf(s608,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f3081]) ).

cnf(s617,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f3100]) ).

cnf(s618,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f3105]) ).

cnf(s620,plain,
    ( ~ spl0_16
    | ~ spl0_36
    | spl0_80
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s631,plain,
    ( ~ spl0_11
    | spl0_74
    | spl0_75
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3150]) ).

cnf(s635,plain,
    ( ~ spl0_11
    | spl0_63
    | ~ spl0_112
    | spl0_161 ),
    inference(sat_conversion,[],[f3162]) ).

cnf(s639,plain,
    ( ~ spl0_11
    | spl0_86
    | ~ spl0_131
    | spl0_162 ),
    inference(sat_conversion,[],[f3170]) ).

cnf(s643,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f3190]) ).

cnf(s644,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3191]) ).

cnf(s646,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3193]) ).

cnf(s652,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_71
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3201]) ).

cnf(s661,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f3230]) ).

cnf(s662,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f3231]) ).

cnf(s663,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_51
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f3232]) ).

cnf(s666,plain,
    ( ~ spl0_2
    | spl0_71
    | ~ spl0_119
    | spl0_163 ),
    inference(sat_conversion,[],[f3242]) ).

cnf(s667,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | spl0_61
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f3258]) ).

cnf(s672,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f3281]) ).

cnf(s688,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | spl0_82
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3298]) ).

cnf(s689,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36
    | spl0_81
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3300]) ).

cnf(s690,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f3302]) ).

cnf(s692,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_33
    | spl0_96
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f3306]) ).

cnf(s700,plain,
    ( ~ spl0_13
    | spl0_71
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f3330]) ).

cnf(s704,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_77
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f3336]) ).

cnf(s709,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_100
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3341]) ).

cnf(s712,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f3349]) ).

cnf(s728,plain,
    ( ~ spl0_16
    | spl0_86
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f3411]) ).

cnf(s749,plain,
    ( ~ spl0_6
    | ~ spl0_51
    | spl0_85
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3486]) ).

cnf(s755,plain,
    ( ~ spl0_17
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3539]) ).

cnf(s757,plain,
    ( ~ spl0_18
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f3561]) ).

cnf(s759,plain,
    ( ~ spl0_36
    | spl0_61
    | ~ spl0_110
    | spl0_168 ),
    inference(sat_conversion,[],[f3605]) ).

cnf(s760,plain,
    ( ~ spl0_36
    | spl0_80
    | spl0_81
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3607]) ).

cnf(s762,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f3647]) ).

cnf(s764,plain,
    ( ~ spl0_7
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f3650]) ).

cnf(s774,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_63
    | spl0_161 ),
    inference(sat_conversion,[],[f3667]) ).

cnf(s775,plain,
    spl0_3,
    inference(rat,[],[s171,s192,s199,s203]) ).

cnf(s776,plain,
    ( ~ spl0_31
    | ~ spl0_16
    | ~ spl0_10 ),
    inference(rat,[],[s672,s139,s140]) ).

cnf(s778,plain,
    ( ~ spl0_36
    | ~ spl0_16
    | ~ spl0_10
    | ~ spl0_7
    | spl0_2 ),
    inference(rat,[],[s54,s125,s144,s690,s712,s60,s776,s775]) ).

cnf(s779,plain,
    ( ~ spl0_16
    | ~ spl0_10
    | ~ spl0_7
    | spl0_6
    | spl0_2 ),
    inference(rat,[],[s448,s149,s150,s29,s778,s60,s776,s775]) ).

cnf(s780,plain,
    ( ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s237,s161,s162,s163]) ).

cnf(s781,plain,
    ( spl0_10
    | spl0_9 ),
    inference(rat,[],[s416,s88,s89,s132,s3,s11,s775]) ).

cnf(s782,plain,
    ( spl0_9
    | ~ spl0_7
    | spl0_6
    | spl0_24
    | spl0_2 ),
    inference(rat,[],[s781,s779,s12,s775]) ).

cnf(s783,plain,
    ( ~ spl0_38
    | ~ spl0_7 ),
    inference(rat,[],[s764,s158,s159,s160]) ).

cnf(s786,plain,
    ( ~ spl0_50
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s514,s127,s128]) ).

cnf(s788,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s728,s96,s139,s140,s5,s60,s709,s448,s110,s149,s150,s29,s25,s759,s596,s593,s71,s119,s120,s63,s635,s774,s512,s72,s73,s121,s52,s786,s783,s782,s2,s780,s775]) ).

cnf(s789,plain,
    ( ~ spl0_35
    | ~ spl0_6 ),
    inference(rat,[],[s238,s72,s73,s121]) ).

cnf(s790,plain,
    ( ~ spl0_45
    | ~ spl0_7
    | ~ spl0_36 ),
    inference(rat,[],[s759,s596,s71,s119,s120]) ).

cnf(s791,plain,
    ( ~ spl0_20
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s349,s104,s105]) ).

cnf(s792,plain,
    ( ~ spl0_37
    | ~ spl0_28
    | ~ spl0_4 ),
    inference(rat,[],[s210,s144,s145]) ).

cnf(s793,plain,
    ( ~ spl0_40
    | ~ spl0_9
    | ~ spl0_36
    | ~ spl0_4 ),
    inference(rat,[],[s762,s80,s125,s126]) ).

cnf(s796,plain,
    ( ~ spl0_58
    | ~ spl0_18 ),
    inference(rat,[],[s757,s107,s108,s109]) ).

cnf(s797,plain,
    ( spl0_40
    | ~ spl0_18
    | spl0_35
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s465,s78,s79,s27,s351,s86,s87,s131,s49,s792,s58,s54,s796,s775]) ).

cnf(s798,plain,
    ( ~ spl0_43
    | ~ spl0_141
    | ~ spl0_26 ),
    inference(rat,[],[s592,s110,s149]) ).

cnf(s799,plain,
    ( ~ spl0_50
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(rat,[],[s652,s81,s127]) ).

cnf(s800,plain,
    ( ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s798,s150,s39,s799,s661,s151,s44,s60,s776,s781,s12,s793,s797,s32,s21,s789,s780,s1,s775]) ).

cnf(s801,plain,
    ( ~ spl0_47
    | ~ spl0_5 ),
    inference(rat,[],[s382,s106,s147,s148]) ).

cnf(s802,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s728,s96,s139,s140,s60,s8,s798,s150,s29,s760,s90,s91,s133,s463,s45,s59,s801,s75,s76,s788,s53,s800,s780,s1,s775]) ).

cnf(s803,plain,
    ( spl0_9
    | spl0_24
    | ~ spl0_6 ),
    inference(rat,[],[s798,s150,s39,s662,s153,s60,s40,s776,s799,s781,s12,s775]) ).

cnf(s804,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | spl0_50
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s798,s150,s39,s661,s151,s44,s60,s776,s775]) ).

cnf(s806,plain,
    ( ~ spl0_31
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(rat,[],[s218,s96,s140]) ).

cnf(s807,plain,
    ( ~ spl0_16
    | spl0_50
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s620,s90,s133,s34,s806,s804,s21,s789,s775]) ).

cnf(s809,plain,
    ( ~ spl0_41
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(rat,[],[s465,s78,s79]) ).

cnf(s810,plain,
    ( spl0_28
    | spl0_41
    | spl0_35 ),
    inference(rat,[],[s351,s86,s87,s131,s27,s49,s775]) ).

cnf(s811,plain,
    ( ~ spl0_4
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_6 ),
    inference(rat,[],[s540,s115,s153,s154,s171,s792,s810,s809,s58,s793,s803,s780,s789,s796,s775]) ).

cnf(s812,plain,
    ( ~ spl0_48
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s345,s101,s102]) ).

cnf(s813,plain,
    ( ~ spl0_37
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(rat,[],[s443,s103,s144,s145]) ).

cnf(s814,plain,
    ( ~ spl0_29
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_36 ),
    inference(rat,[],[s688,s92,s134]) ).

cnf(s815,plain,
    ( ~ spl0_7
    | spl0_15
    | ~ spl0_26
    | ~ spl0_36 ),
    inference(rat,[],[s689,s91,s133,s51,s814,s775]) ).

cnf(s816,plain,
    ( ~ spl0_48
    | ~ spl0_14 ),
    inference(rat,[],[s394,s100,s101,s102]) ).

cnf(s818,plain,
    ( spl0_14
    | spl0_16
    | spl0_35 ),
    inference(rat,[],[s574,s94,s135,s136,s5,s68,s775]) ).

cnf(s819,plain,
    ( ~ spl0_25
    | ~ spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s438,s74,s75]) ).

cnf(s820,plain,
    ( spl0_30
    | spl0_25
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s437,s88,s132,s24,s755,s92,s93,s134,s23,s16,s802,s775]) ).

cnf(s821,plain,
    ( ~ spl0_20
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(rat,[],[s235,s105,s146]) ).

cnf(s822,plain,
    ( ~ spl0_49
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(rat,[],[s488,s112,s151]) ).

cnf(s823,plain,
    ( spl0_22
    | spl0_49
    | spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s436,s77,s123,s38,s10,s775]) ).

cnf(s824,plain,
    ( ~ spl0_32
    | ~ spl0_22
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(rat,[],[s503,s137,s138]) ).

cnf(s825,plain,
    ( ~ spl0_26
    | ~ spl0_30
    | spl0_48
    | spl0_4
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_2 ),
    inference(rat,[],[s798,s150,s37,s824,s823,s822,s63,s815,s790,s783,s36,s821,s775]) ).

cnf(s826,plain,
    ( ~ spl0_14
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s13,s825,s820,s819,s816,s802,s811,s32,s21,s789,s775]) ).

cnf(s827,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s807,s799,s818,s826,s789]) ).

cnf(s829,plain,
    ( ~ spl0_18
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_4
    | spl0_6 ),
    inference(rat,[],[s690,s12,s781,s2,s793,s125,s801,s58,s59,s463,s796,s76,s75,s53,s780,s775]) ).

cnf(s830,plain,
    ( ~ spl0_46
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(rat,[],[s620,s90,s133]) ).

cnf(s831,plain,
    ( ~ spl0_26
    | ~ spl0_36
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s704,s87,s131,s56,s692,s815,s790,s9,s2,s801,s106,s147,s45,s830,s7,s829,s827,s775]) ).

cnf(s832,plain,
    ( ~ spl0_36
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s58,s463,s796,s793,s7,s12,s728,s96,s139,s140,s60,s831,s76,s75,s53,s780,s827,s775]) ).

cnf(s833,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s25,s783,s586,s2,s125,s126,s801,s58,s47,s709,s463,s796,s786,s5,s7,s12,s728,s96,s139,s140,s60,s798,s110,s150,s29,s832,s819,s75,s76,s53,s780,s802,s827,s775]) ).

cnf(s834,plain,
    ( ~ spl0_7
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s825,s812,s16,s63,s814,s790,s783,s802,s833,s775]) ).

cnf(s835,plain,
    ( ~ spl0_46
    | ~ spl0_36 ),
    inference(rat,[],[s760,s90,s91,s133]) ).

cnf(s836,plain,
    ( ~ spl0_26
    | ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s704,s87,s131,s9,s56,s834,s692,s815,s147,s106,s790,s2,s801,s45,s835,s827,s775]) ).

cnf(s837,plain,
    ( ~ spl0_36
    | spl0_1 ),
    inference(rat,[],[s7,s500,s728,s74,s75,s96,s139,s140,s13,s60,s836,s63,s790,s783,s2,s801,s45,s835,s802,s827,s775]) ).

cnf(s838,plain,
    ( ~ spl0_50
    | ~ spl0_13 ),
    inference(rat,[],[s700,s81,s127,s128]) ).

cnf(s841,plain,
    ( ~ spl0_52
    | ~ spl0_9 ),
    inference(rat,[],[s540,s115,s153,s154]) ).

cnf(s842,plain,
    ( ~ spl0_59
    | ~ spl0_15 ),
    inference(rat,[],[s574,s94,s135,s136]) ).

cnf(s843,plain,
    spl0_1,
    inference(rat,[],[s600,s97,s98,s141,s62,s842,s500,s5,s7,s728,s74,s75,s96,s139,s140,s13,s60,s798,s232,s150,s72,s73,s29,s21,s837,s827,s802,s775]) ).

cnf(s846,plain,
    ( ~ spl0_11
    | ~ spl0_43
    | ~ spl0_18
    | spl0_16 ),
    inference(rat,[],[s346,s92,s93,s134,s69,s551,s15,s791,s149,s110,s843,s775]) ).

cnf(s847,plain,
    ~ spl0_56,
    inference(rat,[],[s605,s99,s142,s143,s843]) ).

cnf(s848,plain,
    ( ~ spl0_43
    | ~ spl0_18
    | spl0_16 ),
    inference(rat,[],[s5,s816,s598,s61,s566,s846,s110,s149,s150,s775,s847,s843]) ).

cnf(s853,plain,
    ( ~ spl0_7
    | spl0_11
    | ~ spl0_36 ),
    inference(rat,[],[s63,s790,s783,s775]) ).

cnf(s854,plain,
    ( ~ spl0_45
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s667,s71,s120]) ).

cnf(s855,plain,
    ( spl0_11
    | spl0_26
    | spl0_16
    | spl0_6 ),
    inference(rat,[],[s608,s158,s159,s63,s854,s781,s575,s95,s137,s138,s37,s4,s211,s838,s50,s47,s801,s2,s853,s5,s816,s61,s29,s848,s7,s140,s139,s60,s843,s775,s847]) ).

cnf(s856,plain,
    ( ~ spl0_15
    | ~ spl0_32
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s384,s77,s122,s123,s10,s38,s824,s822,s791,s775]) ).

cnf(s857,plain,
    ( spl0_26
    | spl0_16
    | spl0_6 ),
    inference(rat,[],[s346,s92,s93,s134,s51,s856,s37,s533,s639,s855,s96,s139,s140,s60,s835,s29,s848,s7,s843,s775]) ).

cnf(s858,plain,
    ( spl0_11
    | spl0_16
    | spl0_6 ),
    inference(rat,[],[s608,s158,s159,s63,s854,s4,s617,s161,s162,s163,s12,s781,s575,s5,s2,s816,s853,s61,s138,s137,s95,s37,s829,s857,s29,s848,s7,s843,s775,s847]) ).

cnf(s859,plain,
    ( spl0_16
    | spl0_6 ),
    inference(rat,[],[s815,s36,s856,s812,s791,s858,s37,s829,s857,s29,s848,s7,s775]) ).

cnf(s860,plain,
    ( ~ spl0_31
    | ~ spl0_16 ),
    inference(rat,[],[s728,s96,s139,s140]) ).

cnf(s861,plain,
    ( ~ spl0_43
    | ~ spl0_26 ),
    inference(rat,[],[s798,s150]) ).

cnf(s862,plain,
    ( ~ spl0_50
    | spl0_6 ),
    inference(rat,[],[s666,s81,s128,s644,s54,s125,s643,s144,s618,s34,s835,s29,s861,s60,s860,s859,s775,s843]) ).

cnf(s863,plain,
    spl0_6,
    inference(rat,[],[s600,s97,s98,s141,s55,s441,s83,s129,s66,s862,s373,s114,s152,s168,s54,s51,s144,s125,s134,s618,s643,s646,s34,s835,s29,s861,s60,s860,s859,s775,s843]) ).

cnf(s864,plain,
    ~ spl0_35,
    inference(rat,[],[s789,s863]) ).

cnf(s867,plain,
    ( ~ spl0_27
    | ~ spl0_33 ),
    inference(rat,[],[s441,s83,s129,s843]) ).

cnf(s868,plain,
    ( ~ spl0_60
    | ~ spl0_11 ),
    inference(rat,[],[s631,s84,s85,s130]) ).

cnf(s869,plain,
    ( ~ spl0_33
    | spl0_60 ),
    inference(rat,[],[s427,s86,s131,s167,s867,s843]) ).

cnf(s870,plain,
    ( ~ spl0_29
    | ~ spl0_18
    | ~ spl0_11 ),
    inference(rat,[],[s346,s92,s93,s134,s843]) ).

cnf(s871,plain,
    ( ~ spl0_37
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(rat,[],[s233,s103,s144]) ).

cnf(s872,plain,
    ( ~ spl0_31
    | spl0_16 ),
    inference(rat,[],[s470,s25,s22,s565,s871,s91,s133,s51,s69,s870,s783,s856,s36,s15,s37,s791,s848,s8,s819,s74,s76,s19,s533,s639,s249,s96,s139,s140,s869,s868,s61,s816,s818,s775,s847,s864]) ).

cnf(s874,plain,
    ( spl0_15
    | ~ spl0_18
    | spl0_16 ),
    inference(rat,[],[s470,s74,s76,s19,s617,s25,s161,s162,s163,s565,s803,s781,s91,s133,s557,s51,s22,s813,s60,s872,s69,s783,s36,s791,s141,s97,s55,s870,s869,s868,s61,s816,s818,s775,s843,s863,s847,s864]) ).

cnf(s875,plain,
    ( spl0_32
    | spl0_16 ),
    inference(rat,[],[s171,s841,s780,s18,s37,s869,s868,s861,s813,s60,s872,s61,s816,s818,s775,s847,s864]) ).

cnf(s876,plain,
    spl0_16,
    inference(rat,[],[s856,s874,s8,s819,s19,s838,s39,s749,s95,s138,s875,s861,s60,s872,s869,s868,s61,s816,s818,s775,s863,s847,s864]) ).

cnf(s877,plain,
    ~ spl0_50,
    inference(rat,[],[s799,s863,s876]) ).

cnf(s878,plain,
    ~ spl0_31,
    inference(rat,[],[s806,s863,s876]) ).

cnf(s879,plain,
    spl0_26,
    inference(rat,[],[s60,s775,s878]) ).

cnf(s880,plain,
    ~ spl0_43,
    inference(rat,[],[s861,s879]) ).

cnf(s881,plain,
    spl0_51,
    inference(rat,[],[s39,s877,s775,s880]) ).

cnf(s885,plain,
    spl0_9,
    inference(rat,[],[s162,s663,s803,s781,s863,s881,s876]) ).

cnf(s886,plain,
    ~ spl0_52,
    inference(rat,[],[s841,s885]) ).

cnf(s887,plain,
    ~ spl0_32,
    inference(rat,[],[s749,s95,s138,s863,s881]) ).

cnf(s888,plain,
    spl0_14,
    inference(rat,[],[s67,s775,s864,s887]) ).

cnf(s889,plain,
    spl0_4,
    inference(rat,[],[s37,s880,s775,s887]) ).

cnf(s890,plain,
    ~ spl0_48,
    inference(rat,[],[s816,s888]) ).

cnf(s891,plain,
    ~ spl0_24,
    inference(rat,[],[s780,s889]) ).

cnf(s892,plain,
    spl0_11,
    inference(rat,[],[s61,s847,s775,s890]) ).

cnf(s893,plain,
    spl0_37,
    inference(rat,[],[s171,s886,s891]) ).

cnf(s895,plain,
    $false,
    inference(rat,[],[s813,s879,s892,s893]) ).

fof(f3668,plain,
    $false,
    inference(avatar_sat_refutation,[],[s895]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN488-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n002.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 16:18:22 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running first-order theorem proving
% 0.10/0.21  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
% 0.63/0.98  % (485543)Input is clausal, will run a generic CNF schedule.
% 0.63/0.98  % (485620)lrs+10_1_sil=8000:sp=occurrence:random_seed=3842520323:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.63/0.98  % (485620)First to succeed.
% 0.63/0.98  % (485620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-485543"
% 0.63/0.98  % (485623)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1756681841:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.63/0.98  % (485617)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2399512740:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.63/0.98  % (485619)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2340030920:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.63/0.98  % (485616)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=1292031654:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.63/0.98  % (485621)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3126181371:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.63/0.98  % (485624)dis-21_1_sil=8000:lcm=predicate:random_seed=2580862041: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)
% 0.63/0.98  % (485624)Also succeeded, but the first one will report.
% 0.63/0.98  % (485621)Also succeeded, but the first one will report.
% 0.63/0.98  % (485623)Also succeeded, but the first one will report.
% 0.63/0.98  % (485620)Refutation found. Thanks to Tanya!
% 0.63/0.98  % SZS status Unsatisfiable for theBenchmark
% 0.63/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 2.92/1.19  % (485620)------------------------------
% 2.92/1.19  % (485620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.19  % (485620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.19  % (485620)CaDiCaL version: 2.1.3
% 2.92/1.19  % (485620)Termination reason: Refutation
% 2.92/1.19  % (485620)Time elapsed: 0.031 s
% 2.92/1.19  % (485620)Peak memory usage: 90 MB
% 2.92/1.19  % (485620)Instructions burned: 84 (million)
% 2.92/1.19  % (485620)------------------------------
% 2.92/1.19  % (485620)------------------------------
% 2.92/1.19  % (485543)Success in time 0.332 s
% 2.92/1.19  % Vampire exiting
%------------------------------------------------------------------------------