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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:14:18 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.28s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :  285
% Syntax   : Number of formulae    : 1134 (  25 unt; 144 def)
%            Number of atoms       : 3837 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4903 (2200   ~;2559   |;   0   &)
%                                         ( 144 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  170 (   0 sgn 170   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp31
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f5,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f7,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f33,negated_conjecture,
    ( hskp31
    | hskp25
    | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

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

fof(f35,negated_conjecture,
    ( hskp26
    | hskp8
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

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(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(f140,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

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(f148,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp10
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

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(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(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(f163,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp19
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

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(f170,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp21
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

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(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] :
        ( c3_1(X1)
        | ~ c0_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] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c2_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] :
        ( c3_1(X1)
        | ~ c1_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] :
        ( c3_1(X2)
        | ~ c0_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] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_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] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_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] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_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] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_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] :
        ( c0_1(X2)
        | c2_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] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_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] :
        ( ~ c0_1(X0)
        | ~ c2_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(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(f399,plain,
    ( spl0_45
    | spl0_47
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f170,f236,f212,f396,f386]) ).

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] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_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(f425,definition,
    ( spl0_53
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_53
    | spl0_37
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f163,f246,f212,f346,f425]) ).

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(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(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(f460,plain,
    ( spl0_57
    | spl0_23
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f148,f342,f212,f284,f455]) ).

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(f475,plain,
    ( spl0_46
    | spl0_50
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f141,f260,f212,f412,f391]) ).

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

fof(f480,plain,
    ( spl0_54
    | spl0_60
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f140,f269,f212,f477,f434]) ).

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(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(f559,plain,
    ( ~ c0_1(a2412)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f557]) ).

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(f569,plain,
    ( ~ c0_1(a2413)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f567]) ).

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(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(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(f712,definition,
    ( spl0_106
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

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(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(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(f853,plain,
    ( c2_1(a2427)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f851]) ).

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(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(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(f908,plain,
    ( c0_1(a2484)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f906]) ).

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(f933,plain,
    ( c2_1(a2409)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f931]) ).

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(f960,definition,
    ( spl0_156
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

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(f977,plain,
    ( spl0_46
    | spl0_60
    | spl0_52 ),
    inference(avatar_split_clause,[],[f35,f420,f477,f391]) ).

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

fof(f979,plain,
    ( spl0_106
    | spl0_53
    | spl0_156 ),
    inference(avatar_split_clause,[],[f33,f960,f425,f712]) ).

fof(f988,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f7,f425,f212]) ).

fof(f990,plain,
    ( spl0_3
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f5,f712,f212]) ).

fof(f992,plain,
    ( spl0_3
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1,f960,f212]) ).

fof(f993,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f234,f217]) ).

fof(f995,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f265,f244]) ).

fof(f996,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f307,f217]) ).

fof(f1016,plain,
    ( ~ c1_1(a2432)
    | ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(resolution,[],[f996,f858]) ).

fof(f1021,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f257,f224]) ).

fof(f1043,plain,
    ( ~ c1_1(a2410)
    | ~ spl0_6
    | ~ spl0_16
    | spl0_71 ),
    inference(resolution,[],[f1021,f539]) ).

fof(f1044,plain,
    ( ~ c1_1(a2403)
    | ~ spl0_6
    | ~ spl0_16
    | spl0_63 ),
    inference(resolution,[],[f1021,f499]) ).

fof(f1046,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_16
    | spl0_63
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1044,f743]) ).

fof(f1047,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_63
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1048,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_16
    | spl0_71
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1043,f773]) ).

fof(f1049,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_71
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f257,f343]) ).

fof(f1058,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f227,f1053]) ).

fof(f1059,plain,
    ( c2_1(a2432)
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(resolution,[],[f1053,f858]) ).

fof(f1062,plain,
    ( c2_1(a2416)
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f1053,f803]) ).

fof(f1063,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_36
    | spl0_80
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1062,f584]) ).

fof(f1064,plain,
    ( ~ spl0_16
    | ~ spl0_36
    | spl0_80
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1063]) ).

fof(f1067,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f210,f278]) ).

fof(f1068,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f316,f251]) ).

fof(f1070,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f227,f299]) ).

fof(f1072,plain,
    ( ~ c0_1(a2414)
    | ~ spl0_2
    | ~ spl0_21
    | spl0_78 ),
    inference(resolution,[],[f1067,f574]) ).

fof(f1083,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f210,f251]) ).

fof(f1092,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f307,f261]) ).

fof(f1108,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_135 ),
    inference(resolution,[],[f1070,f858]) ).

fof(f1123,plain,
    ( c2_1(a2414)
    | ~ spl0_2
    | ~ spl0_14
    | spl0_78 ),
    inference(resolution,[],[f1083,f574]) ).

fof(f1126,plain,
    ( c2_1(a2403)
    | ~ spl0_2
    | ~ spl0_14
    | spl0_62 ),
    inference(resolution,[],[f1083,f494]) ).

fof(f1129,plain,
    ( c2_1(a2404)
    | ~ spl0_2
    | ~ spl0_14
    | spl0_64 ),
    inference(resolution,[],[f1083,f504]) ).

fof(f1130,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | spl0_64
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f1129,f509]) ).

fof(f1131,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_64
    | spl0_65 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1134,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f1126,f499]) ).

fof(f1135,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1137,plain,
    ( c0_1(a2432)
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(resolution,[],[f1092,f858]) ).

fof(f1139,plain,
    ( c0_1(a2417)
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(resolution,[],[f1092,f808]) ).

fof(f1145,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f254,f270]) ).

fof(f1154,plain,
    ( ~ c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_2
    | spl0_62 ),
    inference(resolution,[],[f210,f494]) ).

fof(f1157,plain,
    ( ~ c0_1(a2404)
    | c2_1(a2404)
    | ~ spl0_2
    | spl0_64 ),
    inference(resolution,[],[f210,f504]) ).

fof(f1168,plain,
    ( ~ c1_1(a2403)
    | c2_1(a2403)
    | ~ spl0_6
    | spl0_62 ),
    inference(resolution,[],[f224,f494]) ).

fof(f1174,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f207,f237]) ).

fof(f1175,plain,
    ( ~ c2_1(a2413)
    | ~ spl0_15
    | ~ spl0_19
    | spl0_77 ),
    inference(resolution,[],[f569,f1145]) ).

fof(f1178,plain,
    ( ~ spl0_136
    | ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1016,f856,f306,f216,f861]) ).

fof(f1182,plain,
    ( spl0_93
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1137,f856,f306,f260,f647]) ).

fof(f1183,plain,
    ( spl0_83
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1139,f806,f306,f260,f597]) ).

fof(f1279,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f207,f329]) ).

fof(f1280,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f343,f1083]) ).

fof(f1281,plain,
    ( ! [X1] : c1_1(X1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f1280,f1279]) ).

fof(f1284,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36
    | spl0_82 ),
    inference(resolution,[],[f1281,f594]) ).

fof(f1287,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36
    | spl0_76 ),
    inference(resolution,[],[f1281,f564]) ).

fof(f1294,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36
    | spl0_76 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1297,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36
    | spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1284]) ).

fof(f1305,plain,
    ( ~ c0_1(a2425)
    | c2_1(a2425)
    | ~ spl0_2
    | spl0_87 ),
    inference(resolution,[],[f619,f210]) ).

fof(f1437,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f231,f234]) ).

fof(f1453,plain,
    ( c1_1(a2414)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | spl0_78 ),
    inference(resolution,[],[f1279,f1123]) ).

fof(f1454,plain,
    ( c1_1(a2413)
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(resolution,[],[f1279,f793]) ).

fof(f1455,plain,
    ( c1_1(a2411)
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(resolution,[],[f1279,f783]) ).

fof(f1459,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_33
    | spl0_76
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1454,f564]) ).

fof(f1460,plain,
    ( ~ spl0_1
    | ~ spl0_33
    | spl0_76
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1461,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | spl0_78
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1453,f579]) ).

fof(f1462,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | spl0_78
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1494,plain,
    ( ~ spl0_123
    | ~ spl0_2
    | ~ spl0_21
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1072,f572,f277,f209,f796]) ).

fof(f1502,plain,
    ( c2_1(a2425)
    | ~ spl0_2
    | spl0_87
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1305,f843]) ).

fof(f1531,plain,
    ( ~ c0_1(a2414)
    | c2_1(a2414)
    | ~ spl0_2
    | spl0_78 ),
    inference(resolution,[],[f574,f210]) ).

fof(f1533,plain,
    ( ~ c1_1(a2425)
    | c2_1(a2425)
    | ~ spl0_6
    | spl0_87 ),
    inference(resolution,[],[f619,f224]) ).

fof(f1559,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f270,f1068]) ).

fof(f1596,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f247,f1068]) ).

fof(f1628,plain,
    ( ~ c2_1(a2450)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(resolution,[],[f1174,f943]) ).

fof(f1629,plain,
    ( ~ c2_1(a2409)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149 ),
    inference(resolution,[],[f1174,f928]) ).

fof(f1648,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f1629,f933]) ).

fof(f1649,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1648]) ).

fof(f1654,plain,
    ( c1_1(a2417)
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_30
    | spl0_83 ),
    inference(resolution,[],[f1559,f599]) ).

fof(f1657,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_30
    | spl0_82
    | spl0_83 ),
    inference(forward_subsumption_resolution,[],[f1654,f594]) ).

fof(f1658,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_30
    | spl0_82
    | spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1663,plain,
    ( ~ c1_1(a2422)
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_30
    | spl0_86 ),
    inference(resolution,[],[f1596,f614]) ).

fof(f1673,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_30
    | spl0_86
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1663,f838]) ).

fof(f1674,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_30
    | spl0_86
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1673]) ).

fof(f1773,plain,
    ( c1_1(a2407)
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_36
    | spl0_68 ),
    inference(resolution,[],[f1280,f524]) ).

fof(f1782,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_36
    | spl0_68
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1773,f529]) ).

fof(f1783,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | ~ spl0_36
    | spl0_68
    | spl0_69 ),
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1818,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f270,f1280]) ).

fof(f1824,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1108,f1059]) ).

fof(f1825,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1901,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f329,f1070]) ).

fof(f1902,plain,
    ( ! [X1] : c1_1(X1)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f1901,f1280]) ).

fof(f1903,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36
    | spl0_96 ),
    inference(resolution,[],[f1902,f664]) ).

fof(f1905,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36
    | spl0_81 ),
    inference(resolution,[],[f1902,f589]) ).

fof(f1914,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1905]) ).

fof(f1916,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1903]) ).

fof(f1988,plain,
    ( c1_1(a2417)
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_36
    | spl0_83 ),
    inference(resolution,[],[f1818,f599]) ).

fof(f1998,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_36
    | spl0_82
    | spl0_83 ),
    inference(forward_subsumption_resolution,[],[f1988,f594]) ).

fof(f1999,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_36
    | spl0_82
    | spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f2076,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f241,f265]) ).

fof(f2121,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f358,f217]) ).

fof(f2124,plain,
    ( c1_1(a2425)
    | ~ spl0_12
    | ~ spl0_18
    | spl0_88 ),
    inference(resolution,[],[f995,f624]) ).

fof(f2128,plain,
    ( c1_1(a2408)
    | ~ spl0_12
    | ~ spl0_18
    | spl0_70 ),
    inference(resolution,[],[f995,f534]) ).

fof(f2129,plain,
    ( c1_1(a2407)
    | ~ spl0_12
    | ~ spl0_18
    | spl0_68 ),
    inference(resolution,[],[f995,f524]) ).

fof(f2133,plain,
    ( c1_1(a2404)
    | ~ spl0_12
    | ~ spl0_18
    | spl0_65 ),
    inference(resolution,[],[f995,f509]) ).

fof(f2136,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_18
    | spl0_68
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f2129,f529]) ).

fof(f2137,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_68
    | spl0_69 ),
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2143,plain,
    ( c2_1(a2435)
    | ~ spl0_11
    | ~ spl0_18
    | spl0_95 ),
    inference(resolution,[],[f2076,f659]) ).

fof(f2146,plain,
    ( c2_1(a2417)
    | ~ spl0_11
    | ~ spl0_18
    | spl0_83 ),
    inference(resolution,[],[f2076,f599]) ).

fof(f2154,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f257,f237]) ).

fof(f2155,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f254,f241]) ).

fof(f2164,plain,
    ( ~ c1_1(a2408)
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_116 ),
    inference(resolution,[],[f2154,f763]) ).

fof(f2228,plain,
    ( ~ c1_1(a2484)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_145 ),
    inference(resolution,[],[f993,f908]) ).

fof(f2243,plain,
    ( ~ c0_1(a2425)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_87 ),
    inference(resolution,[],[f1437,f619]) ).

fof(f2290,plain,
    ( ~ c1_1(a2432)
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_135 ),
    inference(resolution,[],[f2154,f858]) ).

fof(f2297,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2290,f863]) ).

fof(f2298,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2306,plain,
    ( ~ c0_1(a2408)
    | ~ c1_1(a2408)
    | ~ spl0_4
    | ~ spl0_116 ),
    inference(resolution,[],[f217,f763]) ).

fof(f2312,plain,
    ( c1_1(a2437)
    | ~ c2_1(a2437)
    | ~ spl0_5
    | ~ spl0_139 ),
    inference(resolution,[],[f221,f878]) ).

fof(f2324,plain,
    ( ~ c2_1(a2437)
    | ~ spl0_5
    | spl0_96
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f2312,f664]) ).

fof(f2327,definition,
    ( spl0_159
  <=> c2_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f2328,plain,
    ( c2_1(a2450)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f2327]) ).

fof(f2332,plain,
    ( $false
    | ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f2324,f873]) ).

fof(f2333,plain,
    ( ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2337,plain,
    ( ~ c1_1(a2408)
    | ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f2306,f768]) ).

fof(f2347,plain,
    ( c1_1(a2414)
    | ~ c2_1(a2414)
    | ~ spl0_5
    | ~ spl0_123 ),
    inference(resolution,[],[f798,f221]) ).

fof(f2348,plain,
    ( ~ c0_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f943,f217]) ).

fof(f2349,plain,
    ( ~ c1_1(a2450)
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2348,f953]) ).

fof(f2350,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2349,f948]) ).

fof(f2351,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2350]) ).

fof(f2365,plain,
    ( ~ c0_1(a2425)
    | c1_1(a2425)
    | ~ spl0_8
    | spl0_87 ),
    inference(resolution,[],[f231,f619]) ).

fof(f2367,plain,
    ( ~ c0_1(a2414)
    | c1_1(a2414)
    | ~ spl0_8
    | spl0_78 ),
    inference(resolution,[],[f231,f574]) ).

fof(f2382,plain,
    ( ~ c2_1(a2478)
    | ~ spl0_15
    | ~ spl0_19
    | spl0_104 ),
    inference(resolution,[],[f1145,f704]) ).

fof(f2384,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_15
    | ~ spl0_19
    | spl0_100 ),
    inference(resolution,[],[f1145,f684]) ).

fof(f2398,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_19
    | spl0_100
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2384,f888]) ).

fof(f2399,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_100
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2398]) ).

fof(f2400,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_19
    | spl0_104
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2382,f898]) ).

fof(f2401,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_104
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2400]) ).

fof(f2403,plain,
    ( ~ c0_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_9
    | spl0_105 ),
    inference(resolution,[],[f234,f709]) ).

fof(f2411,plain,
    ( ~ c0_1(a2403)
    | ~ c1_1(a2403)
    | ~ spl0_9
    | spl0_62 ),
    inference(resolution,[],[f234,f494]) ).

fof(f2415,plain,
    ( ~ c0_1(a2403)
    | ~ spl0_9
    | spl0_62
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2411,f743]) ).

fof(f2419,plain,
    ( ~ c1_1(a2484)
    | ~ spl0_9
    | spl0_105
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2403,f908]) ).

fof(f2425,plain,
    ( c2_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_13
    | ~ spl0_154 ),
    inference(resolution,[],[f247,f953]) ).

fof(f2428,plain,
    ( c2_1(a2425)
    | ~ c1_1(a2425)
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(resolution,[],[f247,f843]) ).

fof(f2430,plain,
    ( c2_1(a2410)
    | ~ c1_1(a2410)
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(resolution,[],[f247,f778]) ).

fof(f2431,plain,
    ( c2_1(a2408)
    | ~ c1_1(a2408)
    | ~ spl0_13
    | ~ spl0_117 ),
    inference(resolution,[],[f247,f768]) ).

fof(f2435,plain,
    ( ~ c1_1(a2408)
    | ~ spl0_13
    | spl0_70
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f2431,f534]) ).

fof(f2436,plain,
    ( ~ c1_1(a2410)
    | ~ spl0_13
    | spl0_71
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2430,f539]) ).

fof(f2437,plain,
    ( c2_1(a2450)
    | ~ spl0_13
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2425,f948]) ).

fof(f2438,plain,
    ( $false
    | ~ spl0_13
    | spl0_71
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2436,f773]) ).

fof(f2439,plain,
    ( ~ spl0_13
    | spl0_71
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2438]) ).

fof(f2440,plain,
    ( spl0_159
    | ~ spl0_13
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2437,f951,f946,f246,f2327]) ).

fof(f2451,plain,
    ( c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_14
    | spl0_62 ),
    inference(resolution,[],[f251,f494]) ).

fof(f2453,plain,
    ( c0_1(a2428)
    | c2_1(a2428)
    | ~ spl0_14
    | spl0_90 ),
    inference(resolution,[],[f251,f634]) ).

fof(f2456,plain,
    ( c2_1(a2428)
    | ~ spl0_14
    | spl0_90
    | spl0_92 ),
    inference(forward_subsumption_resolution,[],[f2453,f644]) ).

fof(f2473,plain,
    ( c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ spl0_11
    | spl0_93 ),
    inference(resolution,[],[f241,f649]) ).

fof(f2476,plain,
    ( c2_1(a2412)
    | ~ c1_1(a2412)
    | ~ spl0_11
    | spl0_75 ),
    inference(resolution,[],[f241,f559]) ).

fof(f2478,plain,
    ( ~ c1_1(a2412)
    | ~ spl0_11
    | spl0_74
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f2476,f554]) ).

fof(f2479,plain,
    ( c2_1(a2432)
    | ~ spl0_11
    | spl0_93
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2473,f863]) ).

fof(f2483,plain,
    ( ~ c2_1(a2414)
    | ~ spl0_5
    | spl0_79
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2347,f579]) ).

fof(f2490,plain,
    ( c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f207,f883]) ).

fof(f2493,plain,
    ( c1_1(a2427)
    | ~ c2_1(a2427)
    | ~ spl0_1
    | ~ spl0_133 ),
    inference(resolution,[],[f207,f848]) ).

fof(f2495,plain,
    ( c1_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_1
    | ~ spl0_125 ),
    inference(resolution,[],[f207,f808]) ).

fof(f2501,plain,
    ( c1_1(a2455)
    | ~ spl0_1
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2490,f888]) ).

fof(f2511,plain,
    ( c2_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(resolution,[],[f257,f833]) ).

fof(f2521,plain,
    ( ~ c1_1(a2422)
    | ~ spl0_16
    | spl0_86
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2511,f614]) ).

fof(f2525,plain,
    ( $false
    | ~ spl0_16
    | spl0_86
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2521,f838]) ).

fof(f2526,plain,
    ( ~ spl0_16
    | spl0_86
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2525]) ).

fof(f2537,plain,
    ( ~ c0_1(a2405)
    | ~ c2_1(a2405)
    | ~ spl0_21
    | spl0_67 ),
    inference(resolution,[],[f278,f519]) ).

fof(f2547,plain,
    ( c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(resolution,[],[f299,f883]) ).

fof(f2549,plain,
    ( c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_26
    | ~ spl0_135 ),
    inference(resolution,[],[f299,f858]) ).

fof(f2552,plain,
    ( c0_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_26
    | ~ spl0_125 ),
    inference(resolution,[],[f299,f808]) ).

fof(f2560,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2549,f649]) ).

fof(f2561,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_26
    | spl0_100
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2547,f684]) ).

fof(f2562,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2560,f2479]) ).

fof(f2563,plain,
    ( ~ spl0_11
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2562]) ).

fof(f2564,plain,
    ( $false
    | ~ spl0_26
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2561,f888]) ).

fof(f2565,plain,
    ( ~ spl0_26
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2564]) ).

fof(f2574,plain,
    ( ~ c1_1(a2468)
    | ~ spl0_11
    | ~ spl0_15
    | spl0_102 ),
    inference(resolution,[],[f2155,f694]) ).

fof(f2578,plain,
    ( ~ c1_1(a2418)
    | ~ spl0_11
    | ~ spl0_15
    | spl0_84 ),
    inference(resolution,[],[f2155,f604]) ).

fof(f2591,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | spl0_102
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f2574,f893]) ).

fof(f2592,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_102
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2591]) ).

fof(f2608,plain,
    ( spl0_88
    | ~ spl0_2
    | spl0_87
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1502,f841,f617,f209,f622]) ).

fof(f2609,plain,
    ( c2_1(a2414)
    | ~ spl0_2
    | spl0_78
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1531,f798]) ).

fof(f2623,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f281,f2155]) ).

fof(f2638,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2609,f2483]) ).

fof(f2639,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2638]) ).

fof(f2655,plain,
    ( ~ spl0_132
    | ~ spl0_8
    | ~ spl0_9
    | spl0_87 ),
    inference(avatar_split_clause,[],[f2243,f617,f233,f230,f841]) ).

fof(f2729,plain,
    ( ~ c2_1(a2417)
    | ~ spl0_1
    | spl0_82
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2495,f594]) ).

fof(f2740,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2729,f2146]) ).

fof(f2741,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2747,plain,
    ( ~ c2_1(a2405)
    | ~ spl0_21
    | spl0_67
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2537,f753]) ).

fof(f2760,plain,
    ( c2_1(a2403)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_62 ),
    inference(forward_subsumption_resolution,[],[f1154,f2076]) ).

fof(f2762,plain,
    ( c2_1(a2404)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1157,f2076]) ).

fof(f2771,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f2760,f499]) ).

fof(f2772,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_62
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2775,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64
    | spl0_65 ),
    inference(forward_subsumption_resolution,[],[f2762,f509]) ).

fof(f2776,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64
    | spl0_65 ),
    inference(avatar_contradiction_clause,[],[f2775]) ).

fof(f2779,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_1
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f207,f343]) ).

fof(f2780,plain,
    ( c1_1(a2427)
    | ~ spl0_1
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2493,f853]) ).

fof(f2783,plain,
    ( ~ c1_1(a2403)
    | ~ spl0_6
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f1168,f499]) ).

fof(f2785,definition,
    ( spl0_163
  <=> c1_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f2787,plain,
    ( ~ c1_1(a2425)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f2785]) ).

fof(f2790,plain,
    ( spl0_88
    | ~ spl0_163
    | ~ spl0_6
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1533,f617,f223,f2785,f622]) ).

fof(f2796,definition,
    ( spl0_164
  <=> c0_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f2811,plain,
    ( ~ spl0_163
    | spl0_88
    | ~ spl0_13
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2428,f841,f246,f622,f2785]) ).

fof(f2823,plain,
    ( c0_1(a2403)
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f2451,f499]) ).

fof(f2827,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f417,f224]) ).

fof(f2833,plain,
    ( $false
    | ~ spl0_1
    | spl0_89
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2780,f629]) ).

fof(f2834,plain,
    ( ~ spl0_1
    | spl0_89
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2833]) ).

fof(f2836,plain,
    ( spl0_164
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f2823,f497,f492,f250,f2796]) ).

fof(f2838,plain,
    ( ~ spl0_164
    | ~ spl0_9
    | spl0_62
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2415,f741,f492,f233,f2796]) ).

fof(f2867,plain,
    ( c1_1(a2408)
    | ~ spl0_1
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f2779,f763]) ).

fof(f2881,plain,
    ( ~ spl0_112
    | ~ spl0_6
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f2783,f497,f492,f223,f741]) ).

fof(f2889,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_6
    | ~ spl0_51
    | spl0_85 ),
    inference(resolution,[],[f2827,f609]) ).

fof(f2897,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_51
    | spl0_85
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2889,f828]) ).

fof(f2898,plain,
    ( ~ spl0_6
    | ~ spl0_51
    | spl0_85
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2897]) ).

fof(f2902,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_152
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f1628,f2328]) ).

fof(f2903,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_152
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2902]) ).

fof(f2907,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_18
    | spl0_88
    | spl0_163 ),
    inference(forward_subsumption_resolution,[],[f2124,f2787]) ).

fof(f2908,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_88
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2907]) ).

fof(f2914,plain,
    ( spl0_66
    | ~ spl0_12
    | ~ spl0_18
    | spl0_65 ),
    inference(avatar_split_clause,[],[f2133,f507,f264,f243,f512]) ).

fof(f2917,plain,
    ( ! [X2] : c1_1(X2)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f1279,f995]) ).

fof(f2918,plain,
    ( spl0_73
    | ~ spl0_1
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1455,f781,f328,f206,f547]) ).

fof(f2943,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33
    | spl0_96 ),
    inference(resolution,[],[f2917,f664]) ).

fof(f2948,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33
    | spl0_61 ),
    inference(resolution,[],[f2917,f489]) ).

fof(f2949,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33
    | spl0_61 ),
    inference(avatar_contradiction_clause,[],[f2948]) ).

fof(f2954,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f2943]) ).

fof(f2955,plain,
    ( ~ spl0_144
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2228,f906,f233,f216,f901]) ).

fof(f2959,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f2337,f2128]) ).

fof(f2960,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f2959]) ).

fof(f2963,plain,
    ( spl0_91
    | ~ spl0_14
    | spl0_90
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2456,f642,f632,f250,f637]) ).

fof(f2968,plain,
    ( ~ spl0_113
    | ~ spl0_21
    | spl0_67
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2747,f751,f517,f277,f746]) ).

fof(f2976,plain,
    ( ~ c2_1(a2417)
    | ~ spl0_26
    | spl0_83
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2552,f599]) ).

fof(f2991,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f270,f265]) ).

fof(f3039,plain,
    ( ~ spl0_122
    | ~ spl0_15
    | ~ spl0_19
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1175,f567,f269,f253,f791]) ).

fof(f3114,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(resolution,[],[f1070,f883]) ).

fof(f3125,plain,
    ( ~ spl0_141
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3114,f881,f298,f226,f886]) ).

fof(f3152,plain,
    ( ~ c0_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_7
    | ~ spl0_149 ),
    inference(resolution,[],[f227,f928]) ).

fof(f3171,plain,
    ( ~ c2_1(a2409)
    | ~ spl0_7
    | ~ spl0_149
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f3152,f938]) ).

fof(f3173,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f3171,f933]) ).

fof(f3174,plain,
    ( ~ spl0_7
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3173]) ).

fof(f3189,plain,
    ( ~ c0_1(a2408)
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116 ),
    inference(resolution,[],[f2121,f763]) ).

fof(f3190,plain,
    ( ~ c0_1(a2402)
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(resolution,[],[f2121,f733]) ).

fof(f3191,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3190,f738]) ).

fof(f3192,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3191]) ).

fof(f3193,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3189,f768]) ).

fof(f3194,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3193]) ).

fof(f3227,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_140 ),
    inference(resolution,[],[f1174,f883]) ).

fof(f3238,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f3227,f888]) ).

fof(f3239,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f3238]) ).

fof(f3247,plain,
    ( c1_1(a2425)
    | ~ spl0_8
    | spl0_87
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2365,f843]) ).

fof(f3248,plain,
    ( ~ c0_1(a2414)
    | ~ spl0_8
    | spl0_78
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f2367,f579]) ).

fof(f3260,plain,
    ( ~ spl0_121
    | ~ spl0_11
    | spl0_74
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2478,f557,f552,f240,f786]) ).

fof(f3262,plain,
    ( ! [X0] : ~ c3_1(X0)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f1053,f1174]) ).

fof(f3270,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f261,f2154]) ).

fof(f3274,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2867,f2164]) ).

fof(f3275,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3274]) ).

fof(f3276,plain,
    ( $false
    | ~ spl0_8
    | spl0_87
    | ~ spl0_132
    | spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3247,f2787]) ).

fof(f3277,plain,
    ( ~ spl0_8
    | spl0_87
    | ~ spl0_132
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3276]) ).

fof(f3295,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(resolution,[],[f3262,f808]) ).

fof(f3296,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3295]) ).

fof(f3308,plain,
    ( ~ spl0_127
    | ~ spl0_11
    | ~ spl0_15
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2578,f602,f253,f240,f816]) ).

fof(f3310,plain,
    ( spl0_94
    | ~ spl0_11
    | ~ spl0_18
    | spl0_95 ),
    inference(avatar_split_clause,[],[f2143,f657,f264,f240,f652]) ).

fof(f3343,plain,
    ( ~ c1_1(a2432)
    | ~ spl0_11
    | ~ spl0_15
    | spl0_93 ),
    inference(resolution,[],[f2155,f649]) ).

fof(f3349,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | spl0_93
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f3343,f863]) ).

fof(f3350,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_93
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3357,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_22
    | ~ spl0_128 ),
    inference(resolution,[],[f2623,f823]) ).

fof(f3364,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_22
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f3357,f828]) ).

fof(f3365,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_22
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f3364]) ).

fof(f3375,plain,
    ( ~ spl0_144
    | ~ spl0_9
    | spl0_105
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2419,f906,f707,f233,f901]) ).

fof(f3442,plain,
    ( ~ c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_15
    | spl0_100 ),
    inference(resolution,[],[f254,f684]) ).

fof(f3446,plain,
    ( ~ c1_1(a2418)
    | ~ c2_1(a2418)
    | ~ spl0_15
    | spl0_84 ),
    inference(resolution,[],[f254,f604]) ).

fof(f3454,plain,
    ( ~ c2_1(a2418)
    | ~ spl0_15
    | spl0_84
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f3446,f818]) ).

fof(f3456,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_1
    | ~ spl0_15
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f3442,f2501]) ).

fof(f3457,plain,
    ( $false
    | ~ spl0_15
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f3454,f813]) ).

fof(f3458,plain,
    ( ~ spl0_15
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3457]) ).

fof(f3461,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f3456,f888]) ).

fof(f3462,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f3461]) ).

fof(f3490,plain,
    ( ~ spl0_123
    | ~ spl0_8
    | spl0_78
    | spl0_79 ),
    inference(avatar_split_clause,[],[f3248,f577,f572,f230,f796]) ).

fof(f3492,plain,
    ( ! [X1] : ~ c3_1(X1)
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f3270,f1058]) ).

fof(f3503,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(resolution,[],[f3492,f808]) ).

fof(f3504,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f3492,f763]) ).

fof(f3505,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f3492,f733]) ).

fof(f3506,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3505]) ).

fof(f3507,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3504]) ).

fof(f3508,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3503]) ).

fof(f3564,plain,
    ( c1_1(a2413)
    | ~ spl0_18
    | ~ spl0_19
    | spl0_77 ),
    inference(resolution,[],[f2991,f569]) ).

fof(f3572,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_19
    | spl0_76
    | spl0_77 ),
    inference(forward_subsumption_resolution,[],[f3564,f564]) ).

fof(f3573,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | spl0_76
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f3572]) ).

fof(f3632,plain,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ spl0_18
    | spl0_83 ),
    inference(resolution,[],[f265,f599]) ).

fof(f3638,plain,
    ( c1_1(a2417)
    | ~ spl0_18
    | ~ spl0_26
    | spl0_83
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f3632,f2976]) ).

fof(f3640,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_26
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f3638,f594]) ).

fof(f3641,plain,
    ( ~ spl0_18
    | ~ spl0_26
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3640]) ).

fof(f3686,plain,
    ( c2_1(a2416)
    | c1_1(a2416)
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f343,f803]) ).

fof(f3687,plain,
    ( c2_1(a2408)
    | c1_1(a2408)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f343,f763]) ).

fof(f3693,plain,
    ( c1_1(a2408)
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f3687,f534]) ).

fof(f3694,plain,
    ( c1_1(a2416)
    | ~ spl0_36
    | spl0_80
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3686,f584]) ).

fof(f3697,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3693,f2435]) ).

fof(f3698,plain,
    ( ~ spl0_13
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3697]) ).

fof(f3699,plain,
    ( $false
    | ~ spl0_36
    | spl0_80
    | spl0_81
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3694,f589]) ).

fof(f3700,plain,
    ( ~ spl0_36
    | spl0_80
    | spl0_81
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3699]) ).

fof(f3702,plain,
    ( c2_1(a2453)
    | c1_1(a2453)
    | ~ spl0_18
    | spl0_99 ),
    inference(resolution,[],[f679,f265]) ).

fof(f3703,plain,
    ( c1_1(a2453)
    | ~ spl0_18
    | spl0_97
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3702,f669]) ).

fof(f3704,plain,
    ( $false
    | ~ spl0_18
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3703,f674]) ).

fof(f3705,plain,
    ( ~ spl0_18
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f3704]) ).

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(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(s35,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_45
    | spl0_47 ),
    inference(sat_conversion,[],[f399]) ).

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(s42,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_37
    | spl0_53 ),
    inference(sat_conversion,[],[f429]) ).

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(s49,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_35
    | spl0_54 ),
    inference(sat_conversion,[],[f444]) ).

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(s57,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_36
    | spl0_57 ),
    inference(sat_conversion,[],[f460]) ).

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(s64,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_46
    | spl0_50 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_54
    | spl0_60 ),
    inference(sat_conversion,[],[f480]) ).

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(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(s170,plain,
    ( spl0_46
    | spl0_52
    | spl0_60 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s171,plain,
    ( spl0_24
    | spl0_37
    | spl0_52 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s172,plain,
    ( spl0_53
    | spl0_106
    | spl0_156 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s181,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f988]) ).

cnf(s183,plain,
    ( spl0_3
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s185,plain,
    ( spl0_3
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s197,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_63
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1047]) ).

cnf(s198,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_71
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s201,plain,
    ( ~ spl0_16
    | ~ spl0_36
    | spl0_80
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s212,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s214,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s220,plain,
    ( ~ spl0_4
    | ~ spl0_28
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s222,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_93
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s223,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | spl0_83
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s263,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36
    | spl0_76 ),
    inference(sat_conversion,[],[f1294]) ).

cnf(s266,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | ~ spl0_36
    | spl0_82 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s302,plain,
    ( ~ spl0_1
    | ~ spl0_33
    | spl0_76
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1460]) ).

cnf(s303,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_33
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s311,plain,
    ( ~ spl0_2
    | ~ spl0_21
    | spl0_78
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1494]) ).

cnf(s356,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s357,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_30
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s361,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_30
    | spl0_86
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s405,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | ~ spl0_36
    | spl0_68
    | spl0_69 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s416,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s448,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36
    | spl0_81 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s450,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_36
    | spl0_96 ),
    inference(sat_conversion,[],[f1916]) ).

cnf(s462,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_36
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f1999]) ).

cnf(s488,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_68
    | spl0_69 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s530,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2298]) ).

cnf(s533,plain,
    ( ~ spl0_5
    | spl0_96
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f2333]) ).

cnf(s538,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s542,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_100
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2399]) ).

cnf(s543,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_104
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2401]) ).

cnf(s546,plain,
    ( ~ spl0_13
    | spl0_71
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2439]) ).

cnf(s547,plain,
    ( ~ spl0_13
    | ~ spl0_153
    | ~ spl0_154
    | spl0_159 ),
    inference(sat_conversion,[],[f2440]) ).

cnf(s552,plain,
    ( ~ spl0_16
    | spl0_86
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2526]) ).

cnf(s553,plain,
    ( ~ spl0_11
    | ~ spl0_26
    | spl0_93
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s554,plain,
    ( ~ spl0_26
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2565]) ).

cnf(s559,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_102
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2592]) ).

cnf(s563,plain,
    ( ~ spl0_2
    | spl0_87
    | spl0_88
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s575,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2639]) ).

cnf(s584,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_87
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2655]) ).

cnf(s614,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_18
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2741]) ).

cnf(s626,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s628,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f2776]) ).

cnf(s634,plain,
    ( ~ spl0_6
    | spl0_87
    | spl0_88
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2790]) ).

cnf(s642,plain,
    ( ~ spl0_13
    | spl0_88
    | ~ spl0_132
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2811]) ).

cnf(s651,plain,
    ( ~ spl0_1
    | spl0_89
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2834]) ).

cnf(s653,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_63
    | spl0_164 ),
    inference(sat_conversion,[],[f2836]) ).

cnf(s658,plain,
    ( ~ spl0_9
    | spl0_62
    | ~ spl0_112
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2838]) ).

cnf(s663,plain,
    ( ~ spl0_6
    | spl0_62
    | spl0_63
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2881]) ).

cnf(s666,plain,
    ( ~ spl0_6
    | ~ spl0_51
    | spl0_85
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2898]) ).

cnf(s668,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_152
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2903]) ).

cnf(s671,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_88
    | spl0_163 ),
    inference(sat_conversion,[],[f2908]) ).

cnf(s676,plain,
    ( ~ spl0_12
    | ~ spl0_18
    | spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f2914]) ).

cnf(s677,plain,
    ( ~ spl0_1
    | ~ spl0_33
    | spl0_73
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2918]) ).

cnf(s684,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33
    | spl0_61 ),
    inference(sat_conversion,[],[f2949]) ).

cnf(s689,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_18
    | ~ spl0_33
    | spl0_96 ),
    inference(sat_conversion,[],[f2954]) ).

cnf(s690,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2955]) ).

cnf(s693,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2960]) ).

cnf(s695,plain,
    ( ~ spl0_14
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f2963]) ).

cnf(s697,plain,
    ( ~ spl0_21
    | spl0_67
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2968]) ).

cnf(s719,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_77
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f3039]) ).

cnf(s753,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3125]) ).

cnf(s760,plain,
    ( ~ spl0_7
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f3174]) ).

cnf(s761,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f3192]) ).

cnf(s762,plain,
    ( ~ spl0_4
    | ~ spl0_39
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f3194]) ).

cnf(s769,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3239]) ).

cnf(s773,plain,
    ( ~ spl0_11
    | spl0_74
    | spl0_75
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3260]) ).

cnf(s777,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f3275]) ).

cnf(s778,plain,
    ( ~ spl0_8
    | spl0_87
    | ~ spl0_132
    | spl0_163 ),
    inference(sat_conversion,[],[f3277]) ).

cnf(s781,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3296]) ).

cnf(s797,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_84
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f3308]) ).

cnf(s799,plain,
    ( ~ spl0_11
    | ~ spl0_18
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f3310]) ).

cnf(s807,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_93
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f3350]) ).

cnf(s808,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_22
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3365]) ).

cnf(s810,plain,
    ( ~ spl0_9
    | spl0_105
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f3375]) ).

cnf(s817,plain,
    ( ~ spl0_15
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f3458]) ).

cnf(s819,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_100
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3462]) ).

cnf(s824,plain,
    ( ~ spl0_8
    | spl0_78
    | spl0_79
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f3490]) ).

cnf(s830,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f3506]) ).

cnf(s831,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f3507]) ).

cnf(s832,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3508]) ).

cnf(s845,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | spl0_76
    | spl0_77 ),
    inference(sat_conversion,[],[f3573]) ).

cnf(s851,plain,
    ( ~ spl0_18
    | ~ spl0_26
    | spl0_82
    | spl0_83
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3641]) ).

cnf(s853,plain,
    ( ~ spl0_13
    | ~ spl0_36
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f3698]) ).

cnf(s854,plain,
    ( ~ spl0_36
    | spl0_80
    | spl0_81
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3700]) ).

cnf(s855,plain,
    ( ~ spl0_18
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f3705]) ).

cnf(s856,plain,
    spl0_3,
    inference(rat,[],[s172,s181,s183,s185]) ).

cnf(s858,plain,
    ( ~ spl0_37
    | ~ spl0_16
    | ~ spl0_10 ),
    inference(rat,[],[s530,s144,s145]) ).

cnf(s859,plain,
    ( ~ spl0_16
    | ~ spl0_13
    | ~ spl0_10
    | ~ spl0_7
    | spl0_6
    | spl0_2 ),
    inference(rat,[],[s552,s96,s139,s140,s60,s753,s149,s150,s29,s853,s80,s125,s126,s54,s858,s856]) ).

cnf(s860,plain,
    ( ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s538,s161,s162,s163]) ).

cnf(s861,plain,
    ( ~ spl0_38
    | ~ spl0_7 ),
    inference(rat,[],[s760,s158,s159,s160]) ).

cnf(s862,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s25,s543,s762,s114,s152,s125,s126,s42,s22,s54,s859,s858,s12,s3,s860,s861,s856]) ).

cnf(s863,plain,
    ( ~ spl0_52
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s690,s153,s154]) ).

cnf(s864,plain,
    ( ~ spl0_58
    | ~ spl0_18 ),
    inference(rat,[],[s855,s107,s108,s109]) ).

cnf(s865,plain,
    ( spl0_16
    | ~ spl0_9
    | spl0_38
    | spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s5,s653,s658,s542,s72,s73,s121,s110,s150,s21,s29,s853,s80,s125,s126,s58,s864,s25,s761,s119,s120,s63,s4,s799,s104,s105,s676,s15,s8,s76,s75,s53,s220,s144,s145,s171,s863,s860,s1,s856]) ).

cnf(s867,plain,
    ( ~ spl0_31
    | ~ spl0_16 ),
    inference(rat,[],[s552,s96,s139,s140]) ).

cnf(s868,plain,
    ( ~ spl0_9
    | ~ spl0_7
    | spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s753,s149,s150,s29,s416,s60,s867,s865,s144,s171,s863,s860,s1,s861,s856]) ).

cnf(s869,plain,
    ( ~ spl0_23
    | ~ spl0_8 ),
    inference(rat,[],[s824,s88,s89,s132]) ).

cnf(s870,plain,
    ( spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s753,s149,s150,s29,s831,s125,s54,s858,s11,s24,s869,s60,s867,s862,s12,s868,s2,s860,s1,s856]) ).

cnf(s871,plain,
    ( ~ spl0_35
    | ~ spl0_16
    | ~ spl0_6 ),
    inference(rat,[],[s197,s73,s121]) ).

cnf(s873,plain,
    ( ~ spl0_46
    | ~ spl0_36
    | ~ spl0_16 ),
    inference(rat,[],[s201,s90,s133]) ).

cnf(s874,plain,
    ( ~ spl0_16
    | ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s851,s92,s93,s134,s51,s559,s4,s693,s853,s80,s125,s126,s54,s858,s34,s873,s32,s21,s871,s112,s151,s44,s60,s867,s1,s856]) ).

cnf(s875,plain,
    ( ~ spl0_35
    | ~ spl0_6 ),
    inference(rat,[],[s663,s72,s73,s121]) ).

cnf(s876,plain,
    ( ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s853,s80,s125,s126,s4,s58,s488,s78,s79,s27,s845,s86,s87,s49,s21,s875,s799,s104,s105,s15,s220,s144,s145,s171,s863,s864,s12,s8,s874,s860,s1,s856]) ).

cnf(s878,plain,
    ( ~ spl0_43
    | ~ spl0_26 ),
    inference(rat,[],[s554,s110,s149,s150]) ).

cnf(s879,plain,
    ( ~ spl0_47
    | ~ spl0_5 ),
    inference(rat,[],[s533,s106,s147,s148]) ).

cnf(s880,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s878,s60,s29,s867,s854,s8,s90,s91,s133,s676,s45,s59,s879,s75,s76,s870,s53,s876,s860,s1,s856]) ).

cnf(s882,plain,
    ( spl0_15
    | ~ spl0_7
    | ~ spl0_36
    | ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s832,s24,s134,s869,s51,s22,s858,s34,s873,s867,s856]) ).

cnf(s883,plain,
    ( ~ spl0_16
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s543,s114,s152,s42,s9,s546,s851,s81,s127,s128,s92,s93,s134,s64,s69,s830,s119,s63,s559,s882,s861,s2,s858,s879,s34,s45,s873,s29,s112,s151,s878,s44,s60,s867,s856]) ).

cnf(s884,plain,
    ( ~ spl0_50
    | ~ spl0_13 ),
    inference(rat,[],[s546,s81,s127,s128]) ).

cnf(s886,plain,
    ( ~ spl0_52
    | ~ spl0_9 ),
    inference(rat,[],[s810,s115,s153,s154]) ).

cnf(s888,plain,
    ( ~ spl0_57
    | ~ spl0_2 ),
    inference(rat,[],[s563,s97,s98,s141]) ).

cnf(s889,plain,
    ( ~ spl0_35
    | ~ spl0_18
    | spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s817,s94,s135,s136,s62,s5,s626,s214,s72,s73,s888,s856]) ).

cnf(s890,plain,
    ( ~ spl0_25
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(rat,[],[s676,s75,s76]) ).

cnf(s893,plain,
    ( spl0_11
    | ~ spl0_7
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s45,s91,s106,s448,s450,s5,s13,s19,s817,s890,s94,s135,s136,s4,s62,s888,s21,s884,s52,s889,s7,s883,s880,s856]) ).

cnf(s894,plain,
    ( ~ spl0_25
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s628,s74,s75]) ).

cnf(s895,plain,
    ( ~ spl0_46
    | ~ spl0_36 ),
    inference(rat,[],[s854,s90,s91,s133]) ).

cnf(s896,plain,
    ( ~ spl0_7
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s797,s94,s136,s68,s5,s450,s13,s19,s894,s893,s884,s52,s106,s45,s895,s21,s889,s7,s883,s880,s856]) ).

cnf(s897,plain,
    ( spl0_6
    | spl0_1 ),
    inference(rat,[],[s2,s879,s896,s45,s895,s21,s889,s7,s883,s880,s856]) ).

cnf(s899,plain,
    ( ~ spl0_25
    | spl0_1 ),
    inference(rat,[],[s853,s80,s125,s126,s4,s58,s894,s890,s880,s21,s864,s32,s875,s897,s856]) ).

cnf(s900,plain,
    ( ~ spl0_59
    | ~ spl0_15 ),
    inference(rat,[],[s817,s94,s135,s136]) ).

cnf(s901,plain,
    ( ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s851,s92,s93,s134,s32,s875,s897,s13,s899,s856]) ).

cnf(s903,plain,
    ( ~ spl0_37
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(rat,[],[s807,s103,s145]) ).

cnf(s904,plain,
    ( ~ spl0_20
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s799,s104,s105]) ).

cnf(s905,plain,
    ( spl0_59
    | spl0_1 ),
    inference(rat,[],[s695,s100,s101,s102,s36,s904,s450,s62,s68,s32,s106,s45,s895,s21,s875,s897,s13,s899,s55,s901,s888,s880,s856]) ).

cnf(s906,plain,
    ( spl0_35
    | spl0_1 ),
    inference(rat,[],[s900,s51,s905,s901,s895,s21,s856]) ).

cnf(s907,plain,
    spl0_1,
    inference(rat,[],[s906,s875,s897]) ).

cnf(s908,plain,
    ( spl0_13
    | ~ spl0_18
    | spl0_33
    | spl0_11 ),
    inference(rat,[],[s890,s19,s4,s856]) ).

cnf(s909,plain,
    ( ~ spl0_25
    | ~ spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s212,s74,s75]) ).

cnf(s910,plain,
    ( ~ spl0_14
    | ~ spl0_23
    | ~ spl0_2 ),
    inference(rat,[],[s361,s96,s140,s60,s851,s9,s357,s19,s23,s909,s92,s93,s134,s55,s303,s888,s575,s89,s311,s88,s132,s856,s907]) ).

cnf(s911,plain,
    ( ~ spl0_35
    | spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s7,s889,s875,s856]) ).

cnf(s912,plain,
    ( ~ spl0_60
    | ~ spl0_11 ),
    inference(rat,[],[s773,s84,s85,s130]) ).

cnf(s913,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s65,s543,s86,s114,s152,s263,s42,s19,s547,s668,s161,s162,s163,s11,s12,s886,s170,s912,s895,s57,s903,s910,s909,s62,s68,s900,s888,s911,s856,s907]) ).

cnf(s914,plain,
    ( spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s405,s78,s79,s27,s223,s64,s884,s19,s266,s462,s92,s93,s134,s51,s895,s57,s910,s909,s5,s913,s888,s856,s907]) ).

cnf(s915,plain,
    ( spl0_36
    | spl0_59
    | ~ spl0_2 ),
    inference(rat,[],[s68,s875,s910,s29,s57,s888,s878,s60,s867,s914,s856]) ).

cnf(s916,plain,
    ( ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s302,s86,s131,s65,s543,s114,s152,s168,s55,s125,s134,s777,s781,s34,s895,s915,s912,s903,s62,s900,s888,s867,s914,s907,s856]) ).

cnf(s917,plain,
    ( spl0_36
    | ~ spl0_2 ),
    inference(rat,[],[s198,s81,s127,s39,s666,s95,s138,s67,s875,s910,s29,s57,s888,s878,s60,s867,s914,s856]) ).

cnf(s918,plain,
    ~ spl0_2,
    inference(rat,[],[s781,s134,s34,s51,s895,s917,s916,s867,s914,s907,s856]) ).

cnf(s919,plain,
    ( ~ spl0_43
    | ~ spl0_15 ),
    inference(rat,[],[s819,s110,s149,s150,s907]) ).

cnf(s920,plain,
    ( ~ spl0_32
    | ~ spl0_51
    | ~ spl0_6 ),
    inference(rat,[],[s666,s95,s138]) ).

cnf(s921,plain,
    ~ spl0_56,
    inference(rat,[],[s651,s99,s142,s143,s907]) ).

cnf(s922,plain,
    ( ~ spl0_48
    | ~ spl0_14 ),
    inference(rat,[],[s695,s100,s101,s102]) ).

cnf(s923,plain,
    ( spl0_24
    | spl0_37
    | spl0_16 ),
    inference(rat,[],[s886,s171,s12,s856]) ).

cnf(s924,plain,
    ( ~ spl0_34
    | ~ spl0_21 ),
    inference(rat,[],[s697,s77,s122,s123]) ).

cnf(s925,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(rat,[],[s559,s112,s151,s38,s924,s10,s808,s137,s138,s37,s860,s923,s904,s903,s8,s919,s856,s918]) ).

cnf(s926,plain,
    ( ~ spl0_13
    | ~ spl0_36
    | spl0_88
    | ~ spl0_132
    | ~ spl0_18 ),
    inference(rat,[],[s853,s80,s125,s126,s58,s671,s642,s864,s856]) ).

cnf(s927,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(rat,[],[s356,s158,s159,s35,s63,s71,s106,s684,s689,s908,s4,s926,s29,s875,s68,s922,s98,s141,s61,s62,s925,s919,s900,s8,s907,s856,s921,s918]) ).

cnf(s928,plain,
    ( spl0_9
    | spl0_10 ),
    inference(rat,[],[s869,s3,s11,s856]) ).

cnf(s930,plain,
    ( ~ spl0_29
    | spl0_16 ),
    inference(rat,[],[s614,s92,s93,s134,s8,s61,s922,s5,s927,s907,s921,s856,s918]) ).

cnf(s931,plain,
    ( ~ spl0_37
    | spl0_16 ),
    inference(rat,[],[s222,s103,s144,s15,s904,s61,s922,s5,s927,s8,s69,s930,s856,s918,s921]) ).

cnf(s932,plain,
    ( spl0_36
    | ~ spl0_8 ),
    inference(rat,[],[s769,s149,s150,s29,s634,s928,s778,s584,s97,s98,s141,s57,s869,s907,s856]) ).

cnf(s933,plain,
    spl0_16,
    inference(rat,[],[s895,s932,s22,s931,s51,s930,s927,s856]) ).

cnf(s934,plain,
    ~ spl0_31,
    inference(rat,[],[s867,s933]) ).

cnf(s935,plain,
    spl0_26,
    inference(rat,[],[s60,s856,s934]) ).

cnf(s936,plain,
    ~ spl0_43,
    inference(rat,[],[s878,s935]) ).

cnf(s938,plain,
    ( ~ spl0_50
    | ~ spl0_6 ),
    inference(rat,[],[s198,s81,s127,s933]) ).

cnf(s942,plain,
    ( ~ spl0_54
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(rat,[],[s719,s87,s131]) ).

cnf(s943,plain,
    ( ~ spl0_27
    | ~ spl0_33 ),
    inference(rat,[],[s677,s83,s129,s907]) ).

cnf(s944,plain,
    ( ~ spl0_6
    | ~ spl0_15 ),
    inference(rat,[],[s942,s66,s167,s943,s18,s886,s171,s860,s37,s920,s39,s938,s912,s903,s61,s922,s68,s875,s900,s856,s936,s921]) ).

cnf(s945,plain,
    ~ spl0_36,
    inference(rat,[],[s125,s54,s777,s858,s34,s895,s856,s918,s907,s933,s934]) ).

cnf(s946,plain,
    ~ spl0_8,
    inference(rat,[],[s932,s945]) ).

cnf(s947,plain,
    spl0_6,
    inference(rat,[],[s29,s936,s856,s945]) ).

cnf(s948,plain,
    ~ spl0_35,
    inference(rat,[],[s875,s947]) ).

cnf(s949,plain,
    ~ spl0_50,
    inference(rat,[],[s938,s947]) ).

cnf(s950,plain,
    ~ spl0_15,
    inference(rat,[],[s944,s947]) ).

cnf(s951,plain,
    spl0_51,
    inference(rat,[],[s39,s936,s856,s949]) ).

cnf(s952,plain,
    spl0_37,
    inference(rat,[],[s22,s946,s856,s950]) ).

cnf(s953,plain,
    ~ spl0_32,
    inference(rat,[],[s920,s947,s951]) ).

cnf(s954,plain,
    spl0_136,
    inference(rat,[],[s145,s952]) ).

cnf(s955,plain,
    spl0_135,
    inference(rat,[],[s144,s952]) ).

cnf(s956,plain,
    ~ spl0_93,
    inference(rat,[],[s103,s952]) ).

cnf(s958,plain,
    spl0_14,
    inference(rat,[],[s67,s948,s856,s953]) ).

cnf(s961,plain,
    ~ spl0_11,
    inference(rat,[],[s553,s954,s935,s955,s956]) ).

cnf(s964,plain,
    ~ spl0_48,
    inference(rat,[],[s922,s958]) ).

cnf(s968,plain,
    $false,
    inference(rat,[],[s61,s921,s856,s961,s964]) ).

fof(f3706,plain,
    $false,
    inference(avatar_sat_refutation,[],[s968]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % 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 SAT
% 0.09/0.18  % Computer : n005.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:15:31 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.28  % (908594)Will run a generic schedule for satisfiability detection.
% 0.18/0.28  % (908603)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1507644471:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28  % (908600)% WARNING: option uhcvi not known.
% 0.18/0.28  % (908599)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2411550603_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28  % (908600)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1660699873:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28  % (908601)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3907024669:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28  % (908602)dis+10_1_sil=32000:sp=arity:random_seed=2723844612:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28  % (908605)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1998843505:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28  % (908604)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=820031884:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28  % Detected minimum model sizes of [1]
% 0.18/0.28  % Detected maximum model sizes of [32]
% 0.18/0.28  % TRYING [1]
% 0.18/0.28  % TRYING [2]
% 0.18/0.28  % TRYING [3]
% 0.18/0.28  % TRYING [4]
% 0.18/0.28  % (908603) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-908594-908603"...
% 0.18/0.28  % (908603)...printing done.
% 0.18/0.28  % (908603)Refutation found. Thanks to Tanya!
% 0.18/0.28  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30  % (908603)------------------------------
% 0.18/0.30  % (908603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30  % (908603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30  % (908603)CaDiCaL version: 2.1.3
% 0.18/0.30  % (908603)Termination reason: Refutation
% 0.18/0.30  % (908603)Time elapsed: 0.032 s
% 0.18/0.30  % (908603)Peak memory usage: 13 MB
% 0.18/0.30  % (908603)Instructions burned: 92 (million)
% 0.18/0.30  % (908594)Success in time 0.074 s
% 0.18/0.30  % Vampire exiting
%------------------------------------------------------------------------------