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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN462-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:01 PM UTC 2026

% Result   : Unsatisfiable 1.77s 0.60s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  279
% Syntax   : Number of formulae    :  931 (  15 unt; 154 def)
%            Number of atoms       : 2898 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3458 (1491   ~;1813   |;   0   &)
%                                         ( 154 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  146 (   0 sgn 146   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f15,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

fof(f26,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f34,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp16
    | hskp30
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f37,negated_conjecture,
    ( hskp21
    | hskp10
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp0
    | hskp19
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f41,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c0_1(a304) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp29
    | c1_1(a304) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c2_1(a304) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c0_1(a278) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp28
    | c1_1(a278) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp28
    | c3_1(a278) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp27
    | c1_1(a276) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp27
    | c2_1(a276) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp27
    | c3_1(a276) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( ~ hskp24
    | c2_1(a318) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp22
    | c0_1(a311) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c2_1(a311) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c0_1(a307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c2_1(a307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp20
    | c1_1(a305) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c1_1(a303) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp19
    | c2_1(a303) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp18
    | c1_1(a298) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp18
    | c3_1(a298) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp17
    | c3_1(a295) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp16
    | c0_1(a293) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp16
    | c1_1(a293) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp15
    | c2_1(a291) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp15
    | c3_1(a291) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp14
    | c1_1(a287) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp13
    | c1_1(a286) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp13
    | c3_1(a286) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp12
    | c2_1(a284) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f75,negated_conjecture,
    ( ~ hskp10
    | c3_1(a281) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp9
    | c2_1(a280) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp9
    | c3_1(a280) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp7
    | c0_1(a274) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp7
    | c1_1(a274) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp6
    | c1_1(a273) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp6
    | c2_1(a273) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp5
    | c0_1(a272) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp3
    | c0_1(a270) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp3
    | c3_1(a270) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f86,negated_conjecture,
    ( ~ hskp1
    | c3_1(a268) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp0
    | c0_1(a267) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c0_1(a356)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c1_1(a356)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c2_1(a356)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f93,negated_conjecture,
    ( ~ c1_1(a318)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a318)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a313)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a313)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f98,negated_conjecture,
    ( ~ c3_1(a311)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a307)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a305)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a305)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a303)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a298)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c0_1(a295)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c1_1(a295)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a293)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c0_1(a291)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a287)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a287)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a286)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a284)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c3_1(a284)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a281)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c2_1(a281)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a280)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a275)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a275)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a275)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c3_1(a274)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a273)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a272)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a272)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a271)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a271)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a271)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c2_1(a270)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a268)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a268)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c2_1(a267)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c3_1(a267)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp0
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp27
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp6
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp0
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp15
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp0
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp29
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp22
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp21
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp7
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f186,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f187,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f189,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f190,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f192,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f195,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f197,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f184,f195,f192,f189,f186]) ).

fof(f199,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f200,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f202,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f207,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f183,f205,f192,f202,f199]) ).

fof(f209,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f212,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f215,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f217,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f182,f215,f192,f212,f209]) ).

fof(f219,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f220,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f227,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f181,f225,f192,f222,f219]) ).

fof(f229,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f232,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f234,plain,
    ( spl0_14
    | spl0_2
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f180,f232,f192,f189,f229]) ).

fof(f236,definition,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f238,plain,
    ( spl0_16
    | spl0_6
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f179,f212,f192,f202,f236]) ).

fof(f240,definition,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f243,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f244,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f246,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f248,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f178,f246,f192,f243,f240]) ).

fof(f250,definition,
    ( spl0_20
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f251,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f253,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f255,plain,
    ( spl0_20
    | spl0_8
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f177,f253,f192,f209,f250]) ).

fof(f257,definition,
    ( spl0_22
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( spl0_20
    | spl0_22
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f176,f186,f192,f257,f250]) ).

fof(f261,definition,
    ( spl0_23
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( spl0_23
    | spl0_13
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f175,f264,f192,f225,f261]) ).

fof(f268,definition,
    ( spl0_25
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_26
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f275,definition,
    ( spl0_27
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_28
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f279,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f282,definition,
    ( spl0_29
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f287,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f172,f212,f192,f285,f282]) ).

fof(f289,definition,
    ( spl0_31
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f291,plain,
    ( spl0_31
    | spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f171,f215,f192,f189,f289]) ).

fof(f293,definition,
    ( spl0_32
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f297,definition,
    ( spl0_33
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f299,plain,
    ( spl0_33
    | spl0_6
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f169,f189,f192,f202,f297]) ).

fof(f301,definition,
    ( spl0_34
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f306,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f168,f278,f192,f304,f301]) ).

fof(f308,definition,
    ( spl0_36
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( spl0_27
    | spl0_36
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f167,f264,f192,f308,f275]) ).

fof(f312,definition,
    ( spl0_37
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f314,plain,
    ( spl0_37
    | spl0_2
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f166,f243,f192,f189,f312]) ).

fof(f316,definition,
    ( spl0_38
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f318,plain,
    ( spl0_38
    | spl0_17
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f165,f271,f192,f240,f316]) ).

fof(f324,definition,
    ( spl0_40
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f329,definition,
    ( spl0_41
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f331,plain,
    ( spl0_41
    | spl0_16
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f161,f243,f192,f236,f329]) ).

fof(f333,definition,
    ( spl0_42
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f335,plain,
    ( spl0_42
    | spl0_16
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f160,f222,f192,f236,f333]) ).

fof(f337,definition,
    ( spl0_43
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f339,plain,
    ( spl0_43
    | spl0_16
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f159,f308,f192,f236,f337]) ).

fof(f341,definition,
    ( spl0_44
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f344,definition,
    ( spl0_45
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f347,definition,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f158,f347,f192,f344,f341]) ).

fof(f358,definition,
    ( spl0_49
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_50
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f363,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f156,f195,f192,f361,f358]) ).

fof(f365,plain,
    ( spl0_50
    | spl0_38
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f154,f205,f192,f316,f361]) ).

fof(f368,definition,
    ( spl0_51
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f370,plain,
    ( spl0_51
    | spl0_31
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f152,f225,f192,f289,f368]) ).

fof(f373,definition,
    ( spl0_52
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f375,plain,
    ( spl0_23
    | spl0_52
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f150,f285,f192,f373,f261]) ).

fof(f377,definition,
    ( spl0_53
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f380,plain,
    ( spl0_49
    | spl0_53
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f148,f186,f192,f377,f358]) ).

fof(f382,definition,
    ( spl0_54
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f384,plain,
    ( spl0_54
    | spl0_23
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f147,f202,f192,f261,f382]) ).

fof(f386,definition,
    ( spl0_55
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f389,definition,
    ( spl0_56
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f391,plain,
    ( spl0_55
    | spl0_56
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f146,f219,f192,f389,f386]) ).

fof(f392,plain,
    ( spl0_50
    | spl0_34
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f145,f222,f192,f301,f361]) ).

fof(f393,plain,
    ( spl0_40
    | spl0_23
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f144,f209,f192,f261,f324]) ).

fof(f396,definition,
    ( spl0_57
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f398,plain,
    ( spl0_57
    | spl0_27
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f142,f347,f192,f275,f396]) ).

fof(f400,plain,
    ( spl0_37
    | spl0_34
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f140,f308,f192,f301,f312]) ).

fof(f402,plain,
    ( spl0_29
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f138,f209,f192,f282]) ).

fof(f404,definition,
    ( spl0_58
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_58
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f137,f347,f192,f404]) ).

fof(f408,definition,
    ( spl0_59
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_59
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f136,f304,f192,f408]) ).

fof(f411,plain,
    ( spl0_37
    | spl0_23
    | spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f135,f192,f250,f261,f312]) ).

fof(f414,definition,
    ( spl0_60
  <=> c3_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f415,plain,
    ( ~ c3_1(a267)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( ~ spl0_23
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f134,f414,f261]) ).

fof(f418,definition,
    ( spl0_61
  <=> c2_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f419,plain,
    ( ~ c2_1(a267)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( ~ spl0_23
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f133,f418,f261]) ).

fof(f423,definition,
    ( spl0_62
  <=> c2_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f424,plain,
    ( ~ c2_1(a268)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f425,plain,
    ( ~ spl0_37
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f132,f423,f312]) ).

fof(f427,definition,
    ( spl0_63
  <=> c1_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f429,plain,
    ( ~ spl0_37
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f131,f427,f312]) ).

fof(f441,definition,
    ( spl0_66
  <=> c2_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f442,plain,
    ( ~ c2_1(a270)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( ~ spl0_43
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f128,f441,f337]) ).

fof(f446,definition,
    ( spl0_67
  <=> c3_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f447,plain,
    ( ~ c3_1(a271)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( ~ spl0_42
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f127,f446,f333]) ).

fof(f450,definition,
    ( spl0_68
  <=> c1_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f452,plain,
    ( ~ spl0_42
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f126,f450,f333]) ).

fof(f454,definition,
    ( spl0_69
  <=> c0_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f456,plain,
    ( ~ spl0_42
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f125,f454,f333]) ).

fof(f459,definition,
    ( spl0_70
  <=> c3_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f460,plain,
    ( ~ c3_1(a272)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( ~ spl0_41
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f124,f459,f329]) ).

fof(f463,definition,
    ( spl0_71
  <=> c1_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f465,plain,
    ( ~ spl0_41
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f123,f463,f329]) ).

fof(f468,definition,
    ( spl0_72
  <=> c0_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ spl0_27
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f122,f468,f275]) ).

fof(f473,definition,
    ( spl0_73
  <=> c3_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f474,plain,
    ( ~ c3_1(a274)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f475,plain,
    ( ~ spl0_38
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f121,f473,f316]) ).

fof(f478,definition,
    ( spl0_74
  <=> c3_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f479,plain,
    ( ~ c3_1(a275)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f480,plain,
    ( ~ spl0_29
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f120,f478,f282]) ).

fof(f482,definition,
    ( spl0_75
  <=> c2_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f483,plain,
    ( ~ c2_1(a275)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f484,plain,
    ( ~ spl0_29
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f119,f482,f282]) ).

fof(f486,definition,
    ( spl0_76
  <=> c0_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f488,plain,
    ( ~ spl0_29
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f118,f486,f282]) ).

fof(f491,definition,
    ( spl0_77
  <=> c1_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ spl0_59
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f117,f491,f408]) ).

fof(f496,definition,
    ( spl0_78
  <=> c2_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f497,plain,
    ( ~ c2_1(a281)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( ~ spl0_40
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f116,f496,f324]) ).

fof(f500,definition,
    ( spl0_79
  <=> c0_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f502,plain,
    ( ~ spl0_40
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f115,f500,f324]) ).

fof(f514,definition,
    ( spl0_82
  <=> c3_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f515,plain,
    ( ~ c3_1(a284)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f516,plain,
    ( ~ spl0_55
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f112,f514,f386]) ).

fof(f518,definition,
    ( spl0_83
  <=> c0_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f520,plain,
    ( ~ spl0_55
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f111,f518,f386]) ).

fof(f523,definition,
    ( spl0_84
  <=> c0_1(a286) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ spl0_57
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f523,f396]) ).

fof(f528,definition,
    ( spl0_85
  <=> c2_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c2_1(a287)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( ~ spl0_58
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f109,f528,f404]) ).

fof(f532,definition,
    ( spl0_86
  <=> c0_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ spl0_58
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f108,f532,f404]) ).

fof(f537,definition,
    ( spl0_87
  <=> c0_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ spl0_56
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f107,f537,f389]) ).

fof(f542,definition,
    ( spl0_88
  <=> c2_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ c2_1(a293)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_33
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f106,f542,f297]) ).

fof(f547,definition,
    ( spl0_89
  <=> c1_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ spl0_54
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f105,f547,f382]) ).

fof(f551,definition,
    ( spl0_90
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ spl0_54
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f104,f551,f382]) ).

fof(f556,definition,
    ( spl0_91
  <=> c2_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ spl0_32
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f103,f556,f293]) ).

fof(f561,definition,
    ( spl0_92
  <=> c3_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ c3_1(a303)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f102,f561,f361]) ).

fof(f566,definition,
    ( spl0_93
  <=> c3_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c3_1(a305)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( ~ spl0_49
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f101,f566,f358]) ).

fof(f570,definition,
    ( spl0_94
  <=> c0_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f100,f570,f358]) ).

fof(f575,definition,
    ( spl0_95
  <=> c1_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ spl0_31
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f99,f575,f289]) ).

fof(f580,definition,
    ( spl0_96
  <=> c3_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ c3_1(a311)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f582,plain,
    ( ~ spl0_52
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f98,f580,f373]) ).

fof(f589,definition,
    ( spl0_98
  <=> c2_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ c2_1(a313)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( ~ spl0_25
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f96,f589,f268]) ).

fof(f593,definition,
    ( spl0_99
  <=> c1_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_25
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f95,f593,f268]) ).

fof(f598,definition,
    ( spl0_100
  <=> c3_1(a318) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c3_1(a318)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f94,f598,f368]) ).

fof(f602,definition,
    ( spl0_101
  <=> c1_1(a318) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ spl0_51
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f93,f602,f368]) ).

fof(f617,definition,
    ( spl0_105
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f620,definition,
    ( spl0_106
  <=> c2_1(a356) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c2_1(a356)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f90,f620,f617]) ).

fof(f624,definition,
    ( spl0_107
  <=> c1_1(a356) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ spl0_105
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f89,f624,f617]) ).

fof(f628,definition,
    ( spl0_108
  <=> c0_1(a356) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ spl0_105
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f88,f628,f617]) ).

fof(f632,definition,
    ( spl0_109
  <=> c0_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f634,plain,
    ( spl0_109
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f87,f261,f632]) ).

fof(f636,definition,
    ( spl0_110
  <=> c3_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f637,plain,
    ( c3_1(a268)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f638,plain,
    ( spl0_110
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f86,f312,f636]) ).

fof(f644,definition,
    ( spl0_112
  <=> c3_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f645,plain,
    ( c3_1(a270)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f646,plain,
    ( spl0_112
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f84,f337,f644]) ).

fof(f648,definition,
    ( spl0_113
  <=> c0_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f650,plain,
    ( spl0_113
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f83,f337,f648]) ).

fof(f652,definition,
    ( spl0_114
  <=> c0_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f654,plain,
    ( spl0_114
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f82,f329,f652]) ).

fof(f656,definition,
    ( spl0_115
  <=> c2_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f657,plain,
    ( c2_1(a273)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f658,plain,
    ( spl0_115
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f81,f275,f656]) ).

fof(f660,definition,
    ( spl0_116
  <=> c1_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f662,plain,
    ( spl0_116
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f80,f275,f660]) ).

fof(f664,definition,
    ( spl0_117
  <=> c1_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_117
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f79,f316,f664]) ).

fof(f668,definition,
    ( spl0_118
  <=> c0_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_118
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f78,f316,f668]) ).

fof(f672,definition,
    ( spl0_119
  <=> c3_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f673,plain,
    ( c3_1(a280)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_119
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f77,f408,f672]) ).

fof(f676,definition,
    ( spl0_120
  <=> c2_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f677,plain,
    ( c2_1(a280)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( spl0_120
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f76,f408,f676]) ).

fof(f680,definition,
    ( spl0_121
  <=> c3_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f681,plain,
    ( c3_1(a281)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( spl0_121
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f75,f324,f680]) ).

fof(f688,definition,
    ( spl0_123
  <=> c2_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f690,plain,
    ( spl0_123
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f73,f386,f688]) ).

fof(f692,definition,
    ( spl0_124
  <=> c3_1(a286) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f693,plain,
    ( c3_1(a286)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f694,plain,
    ( spl0_124
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f72,f396,f692]) ).

fof(f696,definition,
    ( spl0_125
  <=> c1_1(a286) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f698,plain,
    ( spl0_125
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f71,f396,f696]) ).

fof(f700,definition,
    ( spl0_126
  <=> c1_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f702,plain,
    ( spl0_126
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f70,f404,f700]) ).

fof(f704,definition,
    ( spl0_127
  <=> c3_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f705,plain,
    ( c3_1(a291)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f706,plain,
    ( spl0_127
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f69,f389,f704]) ).

fof(f708,definition,
    ( spl0_128
  <=> c2_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f709,plain,
    ( c2_1(a291)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_128
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f68,f389,f708]) ).

fof(f712,definition,
    ( spl0_129
  <=> c1_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_129
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f67,f297,f712]) ).

fof(f716,definition,
    ( spl0_130
  <=> c0_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_130
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f66,f297,f716]) ).

fof(f720,definition,
    ( spl0_131
  <=> c3_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a295)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_131
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f65,f382,f720]) ).

fof(f724,definition,
    ( spl0_132
  <=> c3_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f725,plain,
    ( c3_1(a298)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_132
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f64,f293,f724]) ).

fof(f728,definition,
    ( spl0_133
  <=> c1_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_133
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f63,f293,f728]) ).

fof(f732,definition,
    ( spl0_134
  <=> c2_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f733,plain,
    ( c2_1(a303)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_134
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f62,f361,f732]) ).

fof(f736,definition,
    ( spl0_135
  <=> c1_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f738,plain,
    ( spl0_135
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f61,f361,f736]) ).

fof(f740,definition,
    ( spl0_136
  <=> c1_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f742,plain,
    ( spl0_136
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f60,f358,f740]) ).

fof(f744,definition,
    ( spl0_137
  <=> c2_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f745,plain,
    ( c2_1(a307)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_137
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f59,f289,f744]) ).

fof(f748,definition,
    ( spl0_138
  <=> c0_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_138
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f58,f289,f748]) ).

fof(f752,definition,
    ( spl0_139
  <=> c2_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f753,plain,
    ( c2_1(a311)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f754,plain,
    ( spl0_139
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f57,f373,f752]) ).

fof(f756,definition,
    ( spl0_140
  <=> c0_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f758,plain,
    ( spl0_140
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f56,f373,f756]) ).

fof(f760,definition,
    ( spl0_141
  <=> c2_1(a318) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f761,plain,
    ( c2_1(a318)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( spl0_141
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f55,f368,f760]) ).

fof(f768,definition,
    ( spl0_143
  <=> c3_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a276)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_143
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f53,f301,f768]) ).

fof(f773,definition,
    ( spl0_144
  <=> c2_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_144
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f52,f301,f773]) ).

fof(f777,definition,
    ( spl0_145
  <=> c1_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f779,plain,
    ( spl0_145
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f51,f301,f777]) ).

fof(f781,definition,
    ( spl0_146
  <=> c3_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f782,plain,
    ( c3_1(a278)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_146
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f50,f341,f781]) ).

fof(f786,definition,
    ( spl0_147
  <=> c1_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f788,plain,
    ( spl0_147
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f49,f341,f786]) ).

fof(f790,definition,
    ( spl0_148
  <=> c0_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f792,plain,
    ( spl0_148
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f48,f341,f790]) ).

fof(f794,definition,
    ( spl0_149
  <=> c2_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f795,plain,
    ( c2_1(a304)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( spl0_149
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f47,f377,f794]) ).

fof(f799,definition,
    ( spl0_150
  <=> c1_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f801,plain,
    ( spl0_150
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f46,f377,f799]) ).

fof(f803,definition,
    ( spl0_151
  <=> c0_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_151
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f45,f377,f803]) ).

fof(f810,definition,
    ( spl0_153
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f822,plain,
    ( spl0_105
    | spl0_37
    | spl0_55 ),
    inference(avatar_split_clause,[],[f41,f386,f312,f617]) ).

fof(f825,plain,
    ( spl0_59
    | spl0_50
    | spl0_23 ),
    inference(avatar_split_clause,[],[f39,f261,f361,f408]) ).

fof(f826,plain,
    ( spl0_59
    | spl0_27
    | spl0_52 ),
    inference(avatar_split_clause,[],[f38,f373,f275,f408]) ).

fof(f827,plain,
    ( spl0_25
    | spl0_40
    | spl0_31 ),
    inference(avatar_split_clause,[],[f37,f289,f324,f268]) ).

fof(f830,plain,
    ( spl0_41
    | spl0_153
    | spl0_33 ),
    inference(avatar_split_clause,[],[f35,f297,f810,f329]) ).

fof(f831,plain,
    ( spl0_32
    | spl0_38
    | spl0_33 ),
    inference(avatar_split_clause,[],[f34,f297,f316,f293]) ).

fof(f840,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f26,f329,f192]) ).

fof(f851,plain,
    ( spl0_3
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f15,f297,f192]) ).

fof(f865,plain,
    ( spl0_3
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1,f810,f192]) ).

fof(f871,definition,
    ( spl0_156
  <=> c1_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f886,definition,
    ( spl0_157
  <=> c0_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f894,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(resolution,[],[f223,f210]) ).

fof(f899,plain,
    ( ~ c0_1(a272)
    | c1_1(a272)
    | ~ spl0_12
    | spl0_70 ),
    inference(resolution,[],[f223,f460]) ).

fof(f900,plain,
    ( ~ c0_1(a267)
    | c1_1(a267)
    | ~ spl0_12
    | spl0_60 ),
    inference(resolution,[],[f223,f415]) ).

fof(f904,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f894]) ).

fof(f907,definition,
    ( spl0_158
  <=> c0_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_156
    | ~ spl0_109
    | ~ spl0_12
    | spl0_60 ),
    inference(avatar_split_clause,[],[f900,f414,f222,f632,f871]) ).

fof(f914,plain,
    ( spl0_71
    | ~ spl0_114
    | ~ spl0_12
    | spl0_70 ),
    inference(avatar_split_clause,[],[f899,f459,f222,f652,f463]) ).

fof(f915,plain,
    ( spl0_17
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f904,f222,f209,f240]) ).

fof(f921,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(resolution,[],[f226,f190]) ).

fof(f924,plain,
    ( ~ c0_1(a272)
    | ~ c2_1(a272)
    | ~ spl0_13
    | spl0_70 ),
    inference(resolution,[],[f226,f460]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f921]) ).

fof(f930,definition,
    ( spl0_159
  <=> c2_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c2_1(a272)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f934,definition,
    ( spl0_160
  <=> c2_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f938,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f928,f225,f189,f186]) ).

fof(f955,plain,
    ( ~ c0_1(a267)
    | c2_1(a267)
    | ~ spl0_18
    | spl0_60 ),
    inference(resolution,[],[f244,f415]) ).

fof(f962,plain,
    ( spl0_61
    | ~ spl0_109
    | ~ spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f955,f414,f243,f632,f418]) ).

fof(f965,plain,
    ( c2_1(a274)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f970,plain,
    ( c1_1(a280)
    | c0_1(a280)
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(resolution,[],[f237,f677]) ).

fof(f981,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f244,f210]) ).

fof(f985,plain,
    ( ~ c0_1(a274)
    | c2_1(a274)
    | ~ spl0_18
    | spl0_73 ),
    inference(resolution,[],[f244,f474]) ).

fof(f991,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f981]) ).

fof(f993,plain,
    ( spl0_160
    | ~ spl0_118
    | ~ spl0_18
    | spl0_73 ),
    inference(avatar_split_clause,[],[f985,f473,f243,f668,f934]) ).

fof(f1011,definition,
    ( spl0_161
  <=> c1_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1021,definition,
    ( spl0_162
  <=> c1_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1049,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(resolution,[],[f206,f244]) ).

fof(f1055,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1049]) ).

fof(f1056,plain,
    ( spl0_9
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1055,f243,f205,f212]) ).

fof(f1069,plain,
    ( spl0_17
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f991,f243,f209,f240]) ).

fof(f1070,plain,
    ( spl0_157
    | spl0_77
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f970,f676,f236,f491,f886]) ).

fof(f1077,definition,
    ( spl0_164
  <=> c0_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ c0_1(a311)
    | c1_1(a311)
    | ~ spl0_12
    | spl0_96 ),
    inference(resolution,[],[f581,f223]) ).

fof(f1084,definition,
    ( spl0_165
  <=> c1_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1131,definition,
    ( spl0_166
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1132,plain,
    ( c2_1(a295)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1131]) ).

fof(f1151,plain,
    ( ~ c1_1(a303)
    | ~ c2_1(a303)
    | ~ spl0_10
    | spl0_92 ),
    inference(resolution,[],[f216,f562]) ).

fof(f1153,plain,
    ( ~ c1_1(a274)
    | ~ c2_1(a274)
    | ~ spl0_10
    | spl0_73 ),
    inference(resolution,[],[f216,f474]) ).

fof(f1160,plain,
    ( ~ spl0_160
    | ~ spl0_117
    | ~ spl0_10
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1153,f473,f215,f664,f934]) ).

fof(f1166,definition,
    ( spl0_167
  <=> c2_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1167,plain,
    ( ~ c2_1(a305)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1174,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(resolution,[],[f233,f196]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1174]) ).

fof(f1188,plain,
    ( spl0_24
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1184,f232,f195,f264]) ).

fof(f1210,plain,
    ( ~ c1_1(a275)
    | c0_1(a275)
    | ~ spl0_14
    | spl0_74 ),
    inference(resolution,[],[f230,f479]) ).

fof(f1234,plain,
    ( c0_1(a268)
    | c1_1(a268)
    | ~ spl0_20
    | spl0_62 ),
    inference(resolution,[],[f424,f251]) ).

fof(f1237,definition,
    ( spl0_169
  <=> c0_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1239,plain,
    ( spl0_63
    | spl0_169
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1234,f423,f250,f1237,f427]) ).

fof(f1254,definition,
    ( spl0_170
  <=> c1_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1307,plain,
    ( c2_1(a295)
    | c0_1(a295)
    | ~ spl0_5
    | ~ spl0_131 ),
    inference(resolution,[],[f200,f721]) ).

fof(f1309,plain,
    ( c2_1(a281)
    | c0_1(a281)
    | ~ spl0_5
    | ~ spl0_121 ),
    inference(resolution,[],[f200,f681]) ).

fof(f1313,plain,
    ( spl0_79
    | spl0_78
    | ~ spl0_5
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1309,f680,f199,f496,f500]) ).

fof(f1314,plain,
    ( spl0_90
    | spl0_166
    | ~ spl0_5
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1307,f720,f199,f1131,f551]) ).

fof(f1328,plain,
    ( ~ c0_1(a293)
    | ~ c1_1(a293)
    | ~ spl0_9
    | spl0_88 ),
    inference(resolution,[],[f213,f543]) ).

fof(f1331,plain,
    ( ~ spl0_129
    | ~ spl0_130
    | ~ spl0_9
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1328,f542,f212,f716,f712]) ).

fof(f1336,plain,
    ( ~ c0_1(a275)
    | c1_1(a275)
    | ~ spl0_17
    | spl0_75 ),
    inference(resolution,[],[f241,f483]) ).

fof(f1342,plain,
    ( ~ c0_1(a304)
    | ~ c1_1(a304)
    | ~ spl0_24
    | ~ spl0_149 ),
    inference(resolution,[],[f265,f795]) ).

fof(f1343,plain,
    ( ~ c0_1(a311)
    | ~ c1_1(a311)
    | ~ spl0_24
    | ~ spl0_139 ),
    inference(resolution,[],[f265,f753]) ).

fof(f1345,plain,
    ( ~ c0_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_24
    | ~ spl0_134 ),
    inference(resolution,[],[f265,f733]) ).

fof(f1349,plain,
    ( ~ c0_1(a274)
    | ~ c1_1(a274)
    | ~ spl0_24
    | ~ spl0_160 ),
    inference(resolution,[],[f265,f965]) ).

fof(f1355,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_24
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1349,f934,f264,f668,f664]) ).

fof(f1378,plain,
    ( ~ c1_1(a291)
    | ~ c2_1(a291)
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(resolution,[],[f196,f705]) ).

fof(f1383,plain,
    ( ~ spl0_128
    | ~ spl0_170
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1378,f704,f195,f1254,f708]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(resolution,[],[f226,f196]) ).

fof(f1392,plain,
    ( ~ c0_1(a311)
    | ~ c2_1(a311)
    | ~ spl0_13
    | spl0_96 ),
    inference(resolution,[],[f226,f581]) ).

fof(f1399,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1389]) ).

fof(f1401,plain,
    ( ~ spl0_139
    | ~ spl0_140
    | ~ spl0_13
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1392,f580,f225,f756,f752]) ).

fof(f1409,plain,
    ( ~ spl0_134
    | ~ spl0_135
    | ~ spl0_10
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1151,f561,f215,f736,f732]) ).

fof(f1417,plain,
    ( ~ c0_1(a268)
    | c1_1(a268)
    | ~ spl0_17
    | spl0_62 ),
    inference(resolution,[],[f424,f241]) ).

fof(f1418,plain,
    ( spl0_63
    | ~ spl0_169
    | ~ spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1417,f423,f240,f1237,f427]) ).

fof(f1427,definition,
    ( spl0_173
  <=> c0_1(a318) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1445,plain,
    ( ~ c1_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f769,f196]) ).

fof(f1448,plain,
    ( ~ spl0_144
    | ~ spl0_145
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1445,f768,f195,f777,f773]) ).

fof(f1450,plain,
    ( spl0_24
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1399,f225,f195,f264]) ).

fof(f1454,plain,
    ( spl0_76
    | ~ spl0_161
    | ~ spl0_14
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1210,f478,f229,f1011,f486]) ).

fof(f1477,plain,
    ( c1_1(a291)
    | c0_1(a291)
    | ~ spl0_16
    | ~ spl0_128 ),
    inference(resolution,[],[f709,f237]) ).

fof(f1491,plain,
    ( c1_1(a318)
    | ~ c0_1(a318)
    | ~ spl0_1
    | ~ spl0_141 ),
    inference(resolution,[],[f187,f761]) ).

fof(f1514,plain,
    ( c1_1(a268)
    | ~ c0_1(a268)
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(resolution,[],[f190,f637]) ).

fof(f1516,plain,
    ( ~ spl0_169
    | spl0_63
    | ~ spl0_2
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1514,f636,f189,f427,f1237]) ).

fof(f1525,plain,
    ( c0_1(a281)
    | ~ c1_1(a281)
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(resolution,[],[f203,f681]) ).

fof(f1527,plain,
    ( ~ spl0_162
    | spl0_79
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1525,f680,f202,f500,f1021]) ).

fof(f1574,plain,
    ( c2_1(a295)
    | c1_1(a295)
    | ~ spl0_8
    | ~ spl0_131 ),
    inference(resolution,[],[f210,f721]) ).

fof(f1576,plain,
    ( c2_1(a268)
    | c1_1(a268)
    | ~ spl0_8
    | ~ spl0_110 ),
    inference(resolution,[],[f210,f637]) ).

fof(f1577,plain,
    ( spl0_63
    | spl0_62
    | ~ spl0_8
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1576,f636,f209,f423,f427]) ).

fof(f1579,plain,
    ( spl0_89
    | spl0_166
    | ~ spl0_8
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1574,f720,f209,f1131,f547]) ).

fof(f1616,plain,
    ( ~ c2_1(a318)
    | c1_1(a318)
    | ~ spl0_21
    | spl0_100 ),
    inference(resolution,[],[f254,f599]) ).

fof(f1629,definition,
    ( spl0_176
  <=> c2_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1632,plain,
    ( spl0_101
    | ~ spl0_141
    | ~ spl0_21
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1616,f598,f253,f760,f602]) ).

fof(f1645,plain,
    ( c1_1(a271)
    | c2_1(a271)
    | ~ spl0_22
    | spl0_67 ),
    inference(resolution,[],[f258,f447]) ).

fof(f1649,plain,
    ( spl0_176
    | spl0_68
    | ~ spl0_22
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1645,f446,f257,f450,f1629]) ).

fof(f1654,plain,
    ( c1_1(a295)
    | c0_1(a295)
    | ~ spl0_16
    | ~ spl0_166 ),
    inference(resolution,[],[f1132,f237]) ).

fof(f1655,plain,
    ( spl0_90
    | spl0_89
    | ~ spl0_16
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1654,f1131,f236,f547,f551]) ).

fof(f1662,plain,
    ( c2_1(a298)
    | ~ c1_1(a298)
    | ~ spl0_26
    | ~ spl0_132 ),
    inference(resolution,[],[f272,f725]) ).

fof(f1701,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(resolution,[],[f286,f226]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(resolution,[],[f286,f223]) ).

fof(f1708,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1702]) ).

fof(f1709,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1701]) ).

fof(f1717,plain,
    ( ~ c1_1(a305)
    | c0_1(a305)
    | ~ spl0_35
    | spl0_167 ),
    inference(resolution,[],[f305,f1167]) ).

fof(f1718,plain,
    ( ~ c1_1(a287)
    | c0_1(a287)
    | ~ spl0_35
    | spl0_85 ),
    inference(resolution,[],[f305,f529]) ).

fof(f1724,plain,
    ( ~ c1_1(a275)
    | c0_1(a275)
    | ~ spl0_35
    | spl0_75 ),
    inference(resolution,[],[f305,f483]) ).

fof(f1729,plain,
    ( spl0_86
    | ~ spl0_126
    | ~ spl0_35
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1718,f528,f304,f700,f532]) ).

fof(f1730,plain,
    ( spl0_94
    | ~ spl0_136
    | ~ spl0_35
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1717,f1166,f304,f740,f570]) ).

fof(f1758,plain,
    ( c0_1(a275)
    | c2_1(a275)
    | ~ spl0_45
    | spl0_74 ),
    inference(resolution,[],[f345,f479]) ).

fof(f1782,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(resolution,[],[f348,f203]) ).

fof(f1785,plain,
    ( ~ c2_1(a318)
    | c0_1(a318)
    | ~ spl0_46
    | spl0_100 ),
    inference(resolution,[],[f348,f599]) ).

fof(f1786,plain,
    ( ~ c2_1(a305)
    | c0_1(a305)
    | ~ spl0_46
    | spl0_93 ),
    inference(resolution,[],[f348,f567]) ).

fof(f1787,plain,
    ( ~ c2_1(a303)
    | c0_1(a303)
    | ~ spl0_46
    | spl0_92 ),
    inference(resolution,[],[f348,f562]) ).

fof(f1788,plain,
    ( ~ c2_1(a284)
    | c0_1(a284)
    | ~ spl0_46
    | spl0_82 ),
    inference(resolution,[],[f348,f515]) ).

fof(f1793,plain,
    ( ~ c2_1(a271)
    | c0_1(a271)
    | ~ spl0_46
    | spl0_67 ),
    inference(resolution,[],[f348,f447]) ).

fof(f1794,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1782]) ).

fof(f1798,plain,
    ( spl0_69
    | ~ spl0_176
    | ~ spl0_46
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1793,f446,f347,f1629,f454]) ).

fof(f1799,plain,
    ( spl0_83
    | ~ spl0_123
    | ~ spl0_46
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1788,f514,f347,f688,f518]) ).

fof(f1800,plain,
    ( spl0_164
    | ~ spl0_134
    | ~ spl0_46
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1787,f561,f347,f732,f1077]) ).

fof(f1801,plain,
    ( spl0_94
    | ~ spl0_167
    | ~ spl0_46
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1786,f566,f347,f1166,f570]) ).

fof(f1802,plain,
    ( spl0_173
    | ~ spl0_141
    | ~ spl0_46
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1785,f598,f347,f760,f1427]) ).

fof(f1803,plain,
    ( spl0_11
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1794,f347,f202,f219]) ).

fof(f1809,plain,
    ( ~ spl0_133
    | spl0_91
    | ~ spl0_26
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1662,f724,f271,f556,f728]) ).

fof(f1813,plain,
    ( spl0_76
    | ~ spl0_161
    | ~ spl0_35
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1724,f482,f304,f1011,f486]) ).

fof(f1818,definition,
    ( spl0_177
  <=> c1_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1879,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(resolution,[],[f258,f309]) ).

fof(f1891,plain,
    ( c1_1(a275)
    | c2_1(a275)
    | ~ spl0_22
    | spl0_74 ),
    inference(resolution,[],[f258,f479]) ).

fof(f1895,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f1879]) ).

fof(f1896,plain,
    ( spl0_75
    | spl0_161
    | ~ spl0_22
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1891,f478,f257,f1011,f482]) ).

fof(f1897,plain,
    ( spl0_20
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1895,f308,f257,f250]) ).

fof(f1903,plain,
    ( spl0_165
    | ~ spl0_140
    | ~ spl0_12
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1082,f580,f222,f756,f1084]) ).

fof(f1904,plain,
    ( spl0_1
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1708,f285,f222,f186]) ).

fof(f1913,plain,
    ( spl0_87
    | spl0_170
    | ~ spl0_16
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1477,f708,f236,f1254,f537]) ).

fof(f1945,plain,
    ( spl0_75
    | spl0_76
    | ~ spl0_45
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1758,f478,f344,f486,f482]) ).

fof(f1961,plain,
    ( c2_1(a281)
    | c1_1(a281)
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(resolution,[],[f681,f210]) ).

fof(f1963,plain,
    ( spl0_162
    | spl0_78
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1961,f680,f209,f496,f1021]) ).

fof(f1968,plain,
    ( ~ c0_1(a278)
    | ~ c1_1(a278)
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(resolution,[],[f206,f782]) ).

fof(f1974,plain,
    ( ~ c0_1(a270)
    | ~ c1_1(a270)
    | ~ spl0_7
    | ~ spl0_112 ),
    inference(resolution,[],[f206,f645]) ).

fof(f1975,plain,
    ( ~ spl0_177
    | ~ spl0_113
    | ~ spl0_7
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1974,f644,f205,f648,f1818]) ).

fof(f1977,plain,
    ( ~ spl0_147
    | ~ spl0_148
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1968,f781,f205,f790,f786]) ).

fof(f1983,plain,
    ( ~ c0_1(a270)
    | ~ c1_1(a270)
    | ~ spl0_9
    | spl0_66 ),
    inference(resolution,[],[f213,f442]) ).

fof(f1986,plain,
    ( ~ c0_1(a267)
    | ~ c1_1(a267)
    | ~ spl0_9
    | spl0_61 ),
    inference(resolution,[],[f213,f419]) ).

fof(f1989,plain,
    ( ~ c0_1(a275)
    | ~ c1_1(a275)
    | ~ spl0_9
    | spl0_75 ),
    inference(resolution,[],[f213,f483]) ).

fof(f1990,plain,
    ( ~ spl0_161
    | ~ spl0_76
    | ~ spl0_9
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1989,f482,f212,f486,f1011]) ).

fof(f1991,plain,
    ( ~ spl0_156
    | ~ spl0_109
    | ~ spl0_9
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1986,f418,f212,f632,f871]) ).

fof(f1993,plain,
    ( ~ spl0_177
    | ~ spl0_113
    | ~ spl0_9
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1983,f441,f212,f648,f1818]) ).

fof(f2002,plain,
    ( c0_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(resolution,[],[f220,f733]) ).

fof(f2006,plain,
    ( c0_1(a273)
    | ~ c1_1(a273)
    | ~ spl0_11
    | ~ spl0_115 ),
    inference(resolution,[],[f220,f657]) ).

fof(f2008,plain,
    ( ~ spl0_116
    | spl0_72
    | ~ spl0_11
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2006,f656,f219,f468,f660]) ).

fof(f2010,plain,
    ( ~ spl0_135
    | spl0_164
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2002,f732,f219,f1077,f736]) ).

fof(f2020,plain,
    ( ~ c1_1(a274)
    | c2_1(a274)
    | ~ spl0_19
    | spl0_73 ),
    inference(resolution,[],[f247,f474]) ).

fof(f2029,plain,
    ( spl0_160
    | ~ spl0_117
    | ~ spl0_19
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2020,f473,f246,f664,f934]) ).

fof(f2035,plain,
    ( c0_1(a281)
    | c1_1(a281)
    | ~ spl0_20
    | spl0_78 ),
    inference(resolution,[],[f251,f497]) ).

fof(f2039,plain,
    ( c0_1(a356)
    | c1_1(a356)
    | ~ spl0_20
    | spl0_106 ),
    inference(resolution,[],[f251,f621]) ).

fof(f2040,plain,
    ( c0_1(a313)
    | c1_1(a313)
    | ~ spl0_20
    | spl0_98 ),
    inference(resolution,[],[f251,f590]) ).

fof(f2041,plain,
    ( c0_1(a275)
    | c1_1(a275)
    | ~ spl0_20
    | spl0_75 ),
    inference(resolution,[],[f251,f483]) ).

fof(f2043,plain,
    ( spl0_161
    | spl0_76
    | ~ spl0_20
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2041,f482,f250,f486,f1011]) ).

fof(f2044,plain,
    ( spl0_99
    | spl0_158
    | ~ spl0_20
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2040,f589,f250,f907,f593]) ).

fof(f2045,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_20
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2039,f620,f250,f628,f624]) ).

fof(f2047,plain,
    ( spl0_162
    | spl0_79
    | ~ spl0_20
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2035,f496,f250,f500,f1021]) ).

fof(f2058,plain,
    ( ~ c0_1(a280)
    | ~ c2_1(a280)
    | ~ spl0_28
    | ~ spl0_119 ),
    inference(resolution,[],[f279,f673]) ).

fof(f2067,plain,
    ( c1_1(a281)
    | c0_1(a281)
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(resolution,[],[f309,f681]) ).

fof(f2068,plain,
    ( c1_1(a280)
    | c0_1(a280)
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(resolution,[],[f309,f673]) ).

fof(f2069,plain,
    ( spl0_157
    | spl0_77
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2068,f672,f308,f491,f886]) ).

fof(f2070,plain,
    ( spl0_79
    | spl0_162
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2067,f680,f308,f1021,f500]) ).

fof(f2081,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1709,f285,f225,f186]) ).

fof(f2090,plain,
    ( spl0_161
    | ~ spl0_76
    | ~ spl0_17
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1336,f482,f240,f486,f1011]) ).

fof(f2095,plain,
    ( ~ spl0_150
    | ~ spl0_151
    | ~ spl0_24
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1342,f794,f264,f803,f799]) ).

fof(f2096,plain,
    ( ~ spl0_165
    | ~ spl0_140
    | ~ spl0_24
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1343,f752,f264,f756,f1084]) ).

fof(f2097,plain,
    ( ~ spl0_135
    | ~ spl0_164
    | ~ spl0_24
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1345,f732,f264,f1077,f736]) ).

fof(f2107,plain,
    ( ~ spl0_120
    | ~ spl0_157
    | ~ spl0_28
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2058,f672,f278,f886,f676]) ).

fof(f2117,plain,
    ( ~ spl0_173
    | spl0_101
    | ~ spl0_1
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1491,f760,f186,f602,f1427]) ).

fof(f2128,plain,
    ( ~ spl0_159
    | ~ spl0_114
    | ~ spl0_13
    | spl0_70 ),
    inference(avatar_split_clause,[],[f924,f459,f225,f652,f930]) ).

fof(f2140,plain,
    ( c1_1(a307)
    | ~ c0_1(a307)
    | ~ spl0_1
    | ~ spl0_137 ),
    inference(resolution,[],[f187,f745]) ).

fof(f2144,plain,
    ( c1_1(a280)
    | ~ c0_1(a280)
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(resolution,[],[f187,f677]) ).

fof(f2146,plain,
    ( ~ spl0_157
    | spl0_77
    | ~ spl0_1
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2144,f676,f186,f491,f886]) ).

fof(f2147,plain,
    ( ~ spl0_138
    | spl0_95
    | ~ spl0_1
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2140,f744,f186,f575,f748]) ).

fof(f2152,plain,
    ( c1_1(a280)
    | ~ c0_1(a280)
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(resolution,[],[f190,f673]) ).

fof(f2153,plain,
    ( c1_1(a270)
    | ~ c0_1(a270)
    | ~ spl0_2
    | ~ spl0_112 ),
    inference(resolution,[],[f190,f645]) ).

fof(f2154,plain,
    ( ~ spl0_113
    | spl0_177
    | ~ spl0_2
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2153,f644,f189,f1818,f648]) ).

fof(f2155,plain,
    ( ~ spl0_157
    | spl0_77
    | ~ spl0_2
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2152,f672,f189,f491,f886]) ).

fof(f2158,plain,
    ( c0_1(a286)
    | ~ c1_1(a286)
    | ~ spl0_6
    | ~ spl0_124 ),
    inference(resolution,[],[f203,f693]) ).

fof(f2161,plain,
    ( ~ spl0_125
    | spl0_84
    | ~ spl0_6
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2158,f692,f202,f523,f696]) ).

fof(f2168,plain,
    ( ~ c0_1(a303)
    | ~ c2_1(a303)
    | ~ spl0_13
    | spl0_92 ),
    inference(resolution,[],[f226,f562]) ).

fof(f2176,plain,
    ( ~ spl0_134
    | ~ spl0_164
    | ~ spl0_13
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2168,f561,f225,f1077,f732]) ).

fof(f2177,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(resolution,[],[f247,f203]) ).

fof(f2181,plain,
    ( ~ c1_1(a305)
    | c2_1(a305)
    | ~ spl0_19
    | spl0_93 ),
    inference(resolution,[],[f247,f567]) ).

fof(f2187,plain,
    ( ~ c1_1(a275)
    | c2_1(a275)
    | ~ spl0_19
    | spl0_74 ),
    inference(resolution,[],[f247,f479]) ).

fof(f2190,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f2177]) ).

fof(f2191,plain,
    ( spl0_75
    | ~ spl0_161
    | ~ spl0_19
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2187,f478,f246,f1011,f482]) ).

fof(f2192,plain,
    ( spl0_167
    | ~ spl0_136
    | ~ spl0_19
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2181,f566,f246,f740,f1166]) ).

fof(f2194,plain,
    ( spl0_35
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f2190,f246,f202,f304]) ).

fof(f2211,plain,
    ( ~ c0_1(a272)
    | c1_1(a272)
    | ~ spl0_17
    | spl0_159 ),
    inference(resolution,[],[f241,f931]) ).

fof(f2212,plain,
    ( ~ c0_1(a270)
    | c1_1(a270)
    | ~ spl0_17
    | spl0_66 ),
    inference(resolution,[],[f241,f442]) ).

fof(f2214,plain,
    ( ~ c0_1(a267)
    | c1_1(a267)
    | ~ spl0_17
    | spl0_61 ),
    inference(resolution,[],[f241,f419]) ).

fof(f2216,plain,
    ( ~ c0_1(a313)
    | c1_1(a313)
    | ~ spl0_17
    | spl0_98 ),
    inference(resolution,[],[f241,f590]) ).

fof(f2219,plain,
    ( spl0_99
    | ~ spl0_158
    | ~ spl0_17
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2216,f589,f240,f907,f593]) ).

fof(f2221,plain,
    ( spl0_156
    | ~ spl0_109
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f2214,f418,f240,f632,f871]) ).

fof(f2223,plain,
    ( spl0_177
    | ~ spl0_113
    | ~ spl0_17
    | spl0_66 ),
    inference(avatar_split_clause,[],[f2212,f441,f240,f648,f1818]) ).

fof(f2224,plain,
    ( spl0_71
    | ~ spl0_114
    | ~ spl0_17
    | spl0_159 ),
    inference(avatar_split_clause,[],[f2211,f930,f240,f652,f463]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f197]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f207]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f217]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s5,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_9
    | spl0_16 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s9,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s14,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_10
    | spl0_31 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s16,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_6
    | spl0_33 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_27
    | spl0_36 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s19,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_26
    | spl0_38 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_18
    | spl0_41 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_42 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_36
    | spl0_43 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_44
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_38
    | spl0_50 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_31
    | spl0_51 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_30
    | spl0_52 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s37,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_49
    | spl0_53 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_23
    | spl0_54 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_34
    | spl0_50 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_46
    | spl0_57 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_29 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_59 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_23
    | spl0_37 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s51,plain,
    ( ~ spl0_23
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s52,plain,
    ( ~ spl0_23
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s53,plain,
    ( ~ spl0_37
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s54,plain,
    ( ~ spl0_37
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s57,plain,
    ( ~ spl0_43
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s58,plain,
    ( ~ spl0_42
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s59,plain,
    ( ~ spl0_42
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s60,plain,
    ( ~ spl0_42
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s61,plain,
    ( ~ spl0_41
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s62,plain,
    ( ~ spl0_41
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s63,plain,
    ( ~ spl0_27
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s64,plain,
    ( ~ spl0_38
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s65,plain,
    ( ~ spl0_29
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s66,plain,
    ( ~ spl0_29
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s67,plain,
    ( ~ spl0_29
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s68,plain,
    ( ~ spl0_59
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s69,plain,
    ( ~ spl0_40
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s70,plain,
    ( ~ spl0_40
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s73,plain,
    ( ~ spl0_55
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s74,plain,
    ( ~ spl0_55
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s75,plain,
    ( ~ spl0_57
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s76,plain,
    ( ~ spl0_58
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s77,plain,
    ( ~ spl0_58
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s78,plain,
    ( ~ spl0_56
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s79,plain,
    ( ~ spl0_33
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s80,plain,
    ( ~ spl0_54
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s82,plain,
    ( ~ spl0_32
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s83,plain,
    ( ~ spl0_50
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s84,plain,
    ( ~ spl0_49
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s85,plain,
    ( ~ spl0_49
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s86,plain,
    ( ~ spl0_31
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s87,plain,
    ( ~ spl0_52
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s89,plain,
    ( ~ spl0_25
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s90,plain,
    ( ~ spl0_25
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s91,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s92,plain,
    ( ~ spl0_51
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s95,plain,
    ( ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s96,plain,
    ( ~ spl0_105
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s97,plain,
    ( ~ spl0_105
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s98,plain,
    ( ~ spl0_23
    | spl0_109 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s99,plain,
    ( ~ spl0_37
    | spl0_110 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s101,plain,
    ( ~ spl0_43
    | spl0_112 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s102,plain,
    ( ~ spl0_43
    | spl0_113 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s103,plain,
    ( ~ spl0_41
    | spl0_114 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s104,plain,
    ( ~ spl0_27
    | spl0_115 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s105,plain,
    ( ~ spl0_27
    | spl0_116 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s106,plain,
    ( ~ spl0_38
    | spl0_117 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s107,plain,
    ( ~ spl0_38
    | spl0_118 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s108,plain,
    ( ~ spl0_59
    | spl0_119 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s109,plain,
    ( ~ spl0_59
    | spl0_120 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s110,plain,
    ( ~ spl0_40
    | spl0_121 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s112,plain,
    ( ~ spl0_55
    | spl0_123 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s113,plain,
    ( ~ spl0_57
    | spl0_124 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s114,plain,
    ( ~ spl0_57
    | spl0_125 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s115,plain,
    ( ~ spl0_58
    | spl0_126 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s116,plain,
    ( ~ spl0_56
    | spl0_127 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s117,plain,
    ( ~ spl0_56
    | spl0_128 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s118,plain,
    ( ~ spl0_33
    | spl0_129 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s119,plain,
    ( ~ spl0_33
    | spl0_130 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s120,plain,
    ( ~ spl0_54
    | spl0_131 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s121,plain,
    ( ~ spl0_32
    | spl0_132 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s122,plain,
    ( ~ spl0_32
    | spl0_133 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s123,plain,
    ( ~ spl0_50
    | spl0_134 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s124,plain,
    ( ~ spl0_50
    | spl0_135 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s125,plain,
    ( ~ spl0_49
    | spl0_136 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s126,plain,
    ( ~ spl0_31
    | spl0_137 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s127,plain,
    ( ~ spl0_31
    | spl0_138 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s128,plain,
    ( ~ spl0_52
    | spl0_139 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s129,plain,
    ( ~ spl0_52
    | spl0_140 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s130,plain,
    ( ~ spl0_51
    | spl0_141 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s132,plain,
    ( ~ spl0_34
    | spl0_143 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s133,plain,
    ( ~ spl0_34
    | spl0_144 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s134,plain,
    ( ~ spl0_34
    | spl0_145 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s135,plain,
    ( ~ spl0_44
    | spl0_146 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s136,plain,
    ( ~ spl0_44
    | spl0_147 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s137,plain,
    ( ~ spl0_44
    | spl0_148 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s138,plain,
    ( ~ spl0_53
    | spl0_149 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s139,plain,
    ( ~ spl0_53
    | spl0_150 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s140,plain,
    ( ~ spl0_53
    | spl0_151 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s144,plain,
    ( spl0_37
    | spl0_55
    | spl0_105 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s146,plain,
    ( spl0_23
    | spl0_50
    | spl0_59 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s147,plain,
    ( spl0_27
    | spl0_52
    | spl0_59 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s148,plain,
    ( spl0_25
    | spl0_31
    | spl0_40 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s150,plain,
    ( spl0_33
    | spl0_41
    | spl0_153 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s151,plain,
    ( spl0_32
    | spl0_33
    | spl0_38 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s159,plain,
    ( spl0_3
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s170,plain,
    ( spl0_3
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s184,plain,
    ( spl0_3
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s191,plain,
    ( ~ spl0_12
    | spl0_60
    | ~ spl0_109
    | spl0_156 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s192,plain,
    ( ~ spl0_12
    | spl0_70
    | spl0_71
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s193,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_17 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s196,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s199,plain,
    ( ~ spl0_18
    | spl0_60
    | spl0_61
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s208,plain,
    ( ~ spl0_18
    | spl0_73
    | ~ spl0_118
    | spl0_160 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s224,plain,
    ( ~ spl0_7
    | spl0_9
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s227,plain,
    ( ~ spl0_8
    | spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s230,plain,
    ( ~ spl0_16
    | spl0_77
    | ~ spl0_120
    | spl0_157 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s254,plain,
    ( ~ spl0_10
    | spl0_73
    | ~ spl0_117
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1160]) ).

cnf(s262,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_24 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s275,plain,
    ( ~ spl0_20
    | spl0_62
    | spl0_63
    | spl0_169 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s306,plain,
    ( ~ spl0_5
    | spl0_78
    | spl0_79
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1313]) ).

cnf(s307,plain,
    ( ~ spl0_5
    | spl0_90
    | ~ spl0_131
    | spl0_166 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s312,plain,
    ( ~ spl0_9
    | spl0_88
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1331]) ).

cnf(s314,plain,
    ( ~ spl0_24
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1355]) ).

cnf(s326,plain,
    ( ~ spl0_4
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1383]) ).

cnf(s332,plain,
    ( ~ spl0_13
    | spl0_96
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1401]) ).

cnf(s342,plain,
    ( ~ spl0_10
    | spl0_92
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1409]) ).

cnf(s350,plain,
    ( ~ spl0_17
    | spl0_62
    | spl0_63
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s356,plain,
    ( ~ spl0_4
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1448]) ).

cnf(s358,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_24 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s362,plain,
    ( ~ spl0_14
    | spl0_74
    | spl0_76
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1454]) ).

cnf(s392,plain,
    ( ~ spl0_2
    | spl0_63
    | ~ spl0_110
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1516]) ).

cnf(s394,plain,
    ( ~ spl0_6
    | spl0_79
    | ~ spl0_121
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s420,plain,
    ( ~ spl0_8
    | spl0_62
    | spl0_63
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s422,plain,
    ( ~ spl0_8
    | spl0_89
    | ~ spl0_131
    | spl0_166 ),
    inference(sat_conversion,[],[f1579]) ).

cnf(s426,plain,
    ( ~ spl0_21
    | spl0_100
    | spl0_101
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s427,plain,
    ( ~ spl0_22
    | spl0_67
    | spl0_68
    | spl0_176 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s430,plain,
    ( ~ spl0_16
    | spl0_89
    | spl0_90
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s448,plain,
    ( ~ spl0_35
    | spl0_85
    | spl0_86
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1729]) ).

cnf(s449,plain,
    ( ~ spl0_35
    | spl0_94
    | ~ spl0_136
    | spl0_167 ),
    inference(sat_conversion,[],[f1730]) ).

cnf(s461,plain,
    ( ~ spl0_46
    | spl0_67
    | spl0_69
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s462,plain,
    ( ~ spl0_46
    | spl0_82
    | spl0_83
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s463,plain,
    ( ~ spl0_46
    | spl0_92
    | ~ spl0_134
    | spl0_164 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s464,plain,
    ( ~ spl0_46
    | spl0_93
    | spl0_94
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s465,plain,
    ( ~ spl0_46
    | spl0_100
    | ~ spl0_141
    | spl0_173 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s466,plain,
    ( ~ spl0_6
    | spl0_11
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s472,plain,
    ( ~ spl0_26
    | spl0_91
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s476,plain,
    ( ~ spl0_35
    | spl0_75
    | spl0_76
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s497,plain,
    ( ~ spl0_22
    | spl0_74
    | spl0_75
    | spl0_161 ),
    inference(sat_conversion,[],[f1896]) ).

cnf(s498,plain,
    ( spl0_20
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s504,plain,
    ( ~ spl0_12
    | spl0_96
    | ~ spl0_140
    | spl0_165 ),
    inference(sat_conversion,[],[f1903]) ).

cnf(s505,plain,
    ( spl0_1
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s514,plain,
    ( ~ spl0_16
    | spl0_87
    | ~ spl0_128
    | spl0_170 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s547,plain,
    ( ~ spl0_45
    | spl0_74
    | spl0_75
    | spl0_76 ),
    inference(sat_conversion,[],[f1945]) ).

cnf(s562,plain,
    ( ~ spl0_8
    | spl0_78
    | ~ spl0_121
    | spl0_162 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s564,plain,
    ( ~ spl0_7
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s566,plain,
    ( ~ spl0_7
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s568,plain,
    ( ~ spl0_9
    | spl0_75
    | ~ spl0_76
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1990]) ).

cnf(s569,plain,
    ( ~ spl0_9
    | spl0_61
    | ~ spl0_109
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1991]) ).

cnf(s571,plain,
    ( ~ spl0_9
    | spl0_66
    | ~ spl0_113
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s574,plain,
    ( ~ spl0_11
    | spl0_72
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s576,plain,
    ( ~ spl0_11
    | ~ spl0_134
    | ~ spl0_135
    | spl0_164 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s579,plain,
    ( ~ spl0_19
    | spl0_73
    | ~ spl0_117
    | spl0_160 ),
    inference(sat_conversion,[],[f2029]) ).

cnf(s581,plain,
    ( ~ spl0_20
    | spl0_75
    | spl0_76
    | spl0_161 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s582,plain,
    ( ~ spl0_20
    | spl0_98
    | spl0_99
    | spl0_158 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s583,plain,
    ( ~ spl0_20
    | spl0_106
    | spl0_107
    | spl0_108 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s585,plain,
    ( ~ spl0_20
    | spl0_78
    | spl0_79
    | spl0_162 ),
    inference(sat_conversion,[],[f2047]) ).

cnf(s590,plain,
    ( ~ spl0_36
    | spl0_77
    | ~ spl0_119
    | spl0_157 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s591,plain,
    ( ~ spl0_36
    | spl0_79
    | ~ spl0_121
    | spl0_162 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s604,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s613,plain,
    ( ~ spl0_17
    | spl0_75
    | ~ spl0_76
    | spl0_161 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s622,plain,
    ( ~ spl0_24
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2095]) ).

cnf(s623,plain,
    ( ~ spl0_24
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2096]) ).

cnf(s624,plain,
    ( ~ spl0_24
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2097]) ).

cnf(s633,plain,
    ( ~ spl0_28
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2107]) ).

cnf(s643,plain,
    ( ~ spl0_1
    | spl0_101
    | ~ spl0_141
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2117]) ).

cnf(s656,plain,
    ( ~ spl0_13
    | spl0_70
    | ~ spl0_114
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s664,plain,
    ( ~ spl0_1
    | spl0_77
    | ~ spl0_120
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s665,plain,
    ( ~ spl0_1
    | spl0_95
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f2147]) ).

cnf(s667,plain,
    ( ~ spl0_2
    | ~ spl0_112
    | ~ spl0_113
    | spl0_177 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s668,plain,
    ( ~ spl0_2
    | spl0_77
    | ~ spl0_119
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s669,plain,
    ( ~ spl0_6
    | spl0_84
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s671,plain,
    ( ~ spl0_13
    | spl0_92
    | ~ spl0_134
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s672,plain,
    ( ~ spl0_19
    | spl0_74
    | spl0_75
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s673,plain,
    ( ~ spl0_19
    | spl0_93
    | ~ spl0_136
    | spl0_167 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s675,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | spl0_35 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s686,plain,
    ( ~ spl0_17
    | spl0_98
    | spl0_99
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2219]) ).

cnf(s688,plain,
    ( ~ spl0_17
    | spl0_61
    | ~ spl0_109
    | spl0_156 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s690,plain,
    ( ~ spl0_17
    | spl0_66
    | ~ spl0_113
    | spl0_177 ),
    inference(sat_conversion,[],[f2223]) ).

cnf(s691,plain,
    ( ~ spl0_17
    | spl0_71
    | ~ spl0_114
    | spl0_159 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s693,plain,
    spl0_3,
    inference(rat,[],[s150,s159,s170,s184]) ).

cnf(s694,plain,
    ( spl0_161
    | ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s9,s497,s581,s67,s66,s65,s693]) ).

cnf(s695,plain,
    ( ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s356,s132,s133,s134]) ).

cnf(s696,plain,
    ( spl0_161
    | spl0_76
    | spl0_75
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s420,s53,s54,s99,s45,s498,s47,s9,s694,s581,s693]) ).

cnf(s697,plain,
    ( spl0_6
    | spl0_16
    | spl0_2 ),
    inference(rat,[],[s312,s79,s118,s119,s6,s16,s693]) ).

cnf(s698,plain,
    ( ~ spl0_33
    | ~ spl0_9 ),
    inference(rat,[],[s312,s79,s118,s119]) ).

cnf(s699,plain,
    ( ~ spl0_44
    | ~ spl0_7 ),
    inference(rat,[],[s566,s135,s136,s137]) ).

cnf(s701,plain,
    ( ~ spl0_42
    | ~ spl0_46
    | ~ spl0_22 ),
    inference(rat,[],[s427,s461,s58,s59,s60]) ).

cnf(s703,plain,
    ( ~ spl0_52
    | ~ spl0_13 ),
    inference(rat,[],[s332,s87,s128,s129]) ).

cnf(s704,plain,
    ( ~ spl0_23
    | ~ spl0_18 ),
    inference(rat,[],[s199,s51,s52,s98]) ).

cnf(s705,plain,
    ( ~ spl0_12
    | spl0_23
    | ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s504,s623,s87,s128,s129,s35,s505,s693]) ).

cnf(s707,plain,
    ( ~ spl0_12
    | ~ spl0_24
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s192,s61,s62,s103,s24,s704,s705,s693]) ).

cnf(s708,plain,
    ( spl0_76
    | spl0_75
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s704,s7,s35,s690,s703,s604,s571,s4,s3,s576,s342,s624,s83,s123,s124,s40,s707,s262,s5,s362,s672,s65,s47,s420,s57,s102,s53,s54,s99,s26,s45,s230,s590,s633,s68,s108,s109,s17,s49,s476,s696,s695,s1,s693]) ).

cnf(s709,plain,
    ( ~ spl0_12
    | ~ spl0_76
    | spl0_75
    | spl0_1 ),
    inference(rat,[],[s568,s613,s13,s193,s505,s47,s67,s693]) ).

cnf(s710,plain,
    ( ~ spl0_37
    | ~ spl0_8 ),
    inference(rat,[],[s420,s53,s54,s99]) ).

cnf(s711,plain,
    ( spl0_75
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s576,s624,s4,s10,s604,s13,s568,s613,s704,s227,s19,s710,s123,s124,s40,s709,s47,s67,s708,s695,s1,s693]) ).

cnf(s712,plain,
    ( spl0_24
    | spl0_23
    | ~ spl0_4 ),
    inference(rat,[],[s358,s10,s693]) ).

cnf(s713,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s35,s703,s604,s4,s576,s624,s123,s124,s40,s705,s712,s704,s19,s710,s47,s66,s711,s695,s1,s693]) ).

cnf(s714,plain,
    ( spl0_23
    | ~ spl0_12
    | spl0_1 ),
    inference(rat,[],[s705,s10,s196,s713,s693]) ).

cnf(s715,plain,
    ( ~ spl0_12
    | spl0_1 ),
    inference(rat,[],[s192,s61,s62,s103,s24,s230,s668,s68,s108,s109,s49,s476,s694,s66,s67,s13,s569,s191,s704,s51,s52,s98,s714,s505,s713,s693]) ).

cnf(s718,plain,
    ( ~ spl0_25
    | ~ spl0_20
    | ~ spl0_17 ),
    inference(rat,[],[s582,s686,s89,s90]) ).

cnf(s719,plain,
    ( ~ spl0_50
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(rat,[],[s576,s624,s123,s124]) ).

cnf(s720,plain,
    ( ~ spl0_38
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(rat,[],[s208,s314,s64,s106,s107]) ).

cnf(s723,plain,
    ( ~ spl0_40
    | ~ spl0_8
    | ~ spl0_6 ),
    inference(rat,[],[s562,s394,s69,s70,s110]) ).

cnf(s724,plain,
    ( ~ spl0_27
    | ~ spl0_11 ),
    inference(rat,[],[s574,s63,s104,s105]) ).

cnf(s725,plain,
    ( ~ spl0_57
    | ~ spl0_6 ),
    inference(rat,[],[s669,s75,s113,s114]) ).

cnf(s726,plain,
    ( ~ spl0_32
    | ~ spl0_26 ),
    inference(rat,[],[s472,s82,s121,s122]) ).

cnf(s728,plain,
    ( ~ spl0_105
    | ~ spl0_20 ),
    inference(rat,[],[s583,s95,s96,s97]) ).

cnf(s729,plain,
    ( ~ spl0_55
    | ~ spl0_46 ),
    inference(rat,[],[s462,s73,s74,s112]) ).

cnf(s730,plain,
    ( ~ spl0_59
    | spl0_1 ),
    inference(rat,[],[s275,s392,s53,s54,s99,s144,s728,s9,s729,s701,s43,s725,s6,s571,s667,s57,s101,s102,s26,s25,s590,s230,s668,s68,s108,s109,s724,s4,s715,s196,s713,s693]) ).

cnf(s732,plain,
    ( ~ spl0_58
    | ~ spl0_35 ),
    inference(rat,[],[s448,s76,s77,s115]) ).

cnf(s733,plain,
    ( ~ spl0_49
    | ~ spl0_35 ),
    inference(rat,[],[s464,s449,s84,s85,s125,s48,s732,s693]) ).

cnf(s734,plain,
    ( spl0_20
    | spl0_1 ),
    inference(rat,[],[s498,s9,s18,s622,s138,s139,s140,s37,s733,s49,s730,s724,s4,s715,s196,s713,s693]) ).

cnf(s735,plain,
    spl0_1,
    inference(rat,[],[s275,s392,s53,s54,s99,s144,s728,s734,s729,s48,s732,s49,s730,s713,s693]) ).

cnf(s736,plain,
    ( ~ spl0_2
    | spl0_66
    | ~ spl0_112
    | ~ spl0_113
    | spl0_16
    | spl0_27
    | ~ spl0_20 ),
    inference(rat,[],[s275,s392,s53,s54,s99,s144,s729,s43,s725,s6,s571,s667,s728,s693]) ).

cnf(s737,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24
    | spl0_23 ),
    inference(rat,[],[s585,s394,s69,s70,s110,s41,s710,s144,s729,s43,s725,s697,s736,s57,s101,s102,s26,s590,s230,s664,s68,s108,s109,s146,s719,s724,s728,s693,s735]) ).

cnf(s738,plain,
    ( spl0_18
    | ~ spl0_13
    | spl0_19
    | spl0_16 ),
    inference(rat,[],[s656,s691,s61,s62,s103,s7,s24,s693]) ).

cnf(s739,plain,
    ~ spl0_31,
    inference(rat,[],[s665,s86,s126,s127,s735]) ).

cnf(s740,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | spl0_23 ),
    inference(rat,[],[s590,s664,s68,s108,s109,s147,s703,s18,s10,s737,s724,s735,s693]) ).

cnf(s741,plain,
    ( ~ spl0_8
    | spl0_19
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(rat,[],[s7,s227,s718,s148,s723,s693,s739]) ).

cnf(s742,plain,
    ( spl0_35
    | spl0_16
    | spl0_77
    | spl0_157
    | ~ spl0_2
    | ~ spl0_20
    | spl0_23 ),
    inference(rat,[],[s585,s394,s69,s70,s110,s41,s741,s675,s6,s571,s667,s57,s101,s102,s26,s590,s108,s49,s693]) ).

cnf(s743,plain,
    ( ~ spl0_37
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(rat,[],[s275,s392,s53,s54,s99]) ).

cnf(s744,plain,
    ( spl0_157
    | ~ spl0_2
    | ~ spl0_20
    | spl0_23 ),
    inference(rat,[],[s742,s230,s109,s68,s49,s732,s48,s729,s144,s743,s728,s693]) ).

cnf(s745,plain,
    ( ~ spl0_2
    | ~ spl0_20
    | spl0_23 ),
    inference(rat,[],[s664,s744,s68,s109,s49,s732,s48,s729,s144,s743,s728,s735,s693]) ).

cnf(s746,plain,
    ( ~ spl0_6
    | ~ spl0_20
    | spl0_23 ),
    inference(rat,[],[s585,s394,s69,s70,s110,s41,s741,s675,s732,s48,s466,s740,s693]) ).

cnf(s747,plain,
    ( ~ spl0_20
    | spl0_23 ),
    inference(rat,[],[s350,s275,s53,s54,s7,s19,s672,s581,s224,s65,s66,s67,s2,s47,s307,s422,s430,s80,s81,s120,s698,s38,s697,s16,s746,s745,s693]) ).

cnf(s748,plain,
    ( ~ spl0_51
    | ~ spl0_21 ),
    inference(rat,[],[s426,s91,s92,s130]) ).

cnf(s749,plain,
    ( ~ spl0_11
    | spl0_7
    | spl0_36
    | spl0_16
    | ~ spl0_13 ),
    inference(rat,[],[s738,s579,s314,s720,s64,s106,s107,s31,s719,s18,s724,s693]) ).

cnf(s750,plain,
    ( ~ spl0_50
    | ~ spl0_10 ),
    inference(rat,[],[s342,s83,s123,s124]) ).

cnf(s751,plain,
    ( ~ spl0_6
    | spl0_16
    | ~ spl0_2
    | spl0_23 ),
    inference(rat,[],[s208,s254,s64,s106,s107,s31,s750,s738,s675,s732,s48,s466,s749,s3,s571,s564,s667,s57,s101,s102,s26,s591,s394,s110,s70,s41,s33,s748,s8,s710,s50,s747,s693,s739]) ).

cnf(s752,plain,
    ( ~ spl0_43
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s564,s667,s101,s102]) ).

cnf(s753,plain,
    ( ~ spl0_50
    | ~ spl0_46
    | ~ spl0_13 ),
    inference(rat,[],[s671,s463,s83,s123]) ).

cnf(s754,plain,
    ( spl0_16
    | ~ spl0_2
    | spl0_23 ),
    inference(rat,[],[s664,s590,s68,s108,s109,s146,s753,s26,s752,s27,s699,s2,s751,s547,s65,s66,s67,s47,s306,s70,s110,s69,s41,s33,s748,s8,s710,s50,s747,s735,s693,s739]) ).

cnf(s755,plain,
    ( spl0_59
    | spl0_23 ),
    inference(rat,[],[s48,s753,s732,s146,s49,s33,s748,s8,s710,s50,s747,s693,s739]) ).

cnf(s756,plain,
    ( spl0_18
    | spl0_17
    | spl0_23 ),
    inference(rat,[],[s695,s29,s40,s733,s192,s675,s61,s62,s103,s7,s24,s697,s750,s14,s754,s230,s664,s109,s68,s755,s693,s739,s735]) ).

cnf(s757,plain,
    ( ~ spl0_11
    | spl0_23 ),
    inference(rat,[],[s726,s151,s20,s698,s720,s224,s756,s690,s564,s18,s749,s724,s33,s748,s8,s710,s50,s747,s102,s101,s57,s26,s590,s108,s230,s664,s109,s68,s755,s693,s735,s739]) ).

cnf(s758,plain,
    ( spl0_20
    | spl0_23 ),
    inference(rat,[],[s208,s254,s64,s106,s107,s738,s31,s675,s699,s732,s27,s48,s466,s757,s750,s697,s14,s754,s230,s664,s68,s109,s755,s33,s748,s547,s65,s66,s67,s8,s47,s710,s50,s735,s739,s693]) ).

cnf(s759,plain,
    spl0_23,
    inference(rat,[],[s758,s747]) ).

cnf(s760,plain,
    spl0_109,
    inference(rat,[],[s98,s759]) ).

cnf(s761,plain,
    ~ spl0_61,
    inference(rat,[],[s52,s759]) ).

cnf(s763,plain,
    ~ spl0_18,
    inference(rat,[],[s704,s759]) ).

cnf(s765,plain,
    ( ~ spl0_51
    | ~ spl0_46 ),
    inference(rat,[],[s465,s643,s91,s92,s130,s735]) ).

cnf(s766,plain,
    ( ~ spl0_46
    | ~ spl0_6
    | spl0_16 ),
    inference(rat,[],[s29,s695,s733,s40,s675,s753,s738,s33,s765,s192,s61,s62,s103,s24,s693,s763,s739]) ).

cnf(s767,plain,
    ( ~ spl0_6
    | spl0_16 ),
    inference(rat,[],[s738,s4,s675,s724,s732,s43,s48,s766,s725,s192,s61,s62,s103,s24,s763,s693]) ).

cnf(s768,plain,
    ( ~ spl0_46
    | spl0_16 ),
    inference(rat,[],[s673,s464,s84,s85,s125,s29,s695,s40,s753,s33,s765,s192,s61,s62,s103,s24,s7,s688,s569,s6,s767,s693,s739,s763,s761,s760]) ).

cnf(s769,plain,
    ( spl0_6
    | spl0_16 ),
    inference(rat,[],[s667,s697,s571,s57,s101,s102,s26,s590,s664,s68,s108,s109,s49,s732,s48,s768,s6,s735,s693]) ).

cnf(s770,plain,
    spl0_16,
    inference(rat,[],[s769,s767]) ).

cnf(s771,plain,
    ( ~ spl0_120
    | spl0_77 ),
    inference(rat,[],[s664,s230,s770,s735]) ).

cnf(s772,plain,
    ~ spl0_59,
    inference(rat,[],[s771,s68,s109]) ).

cnf(s773,plain,
    spl0_35,
    inference(rat,[],[s49,s693,s772]) ).

cnf(s774,plain,
    ~ spl0_58,
    inference(rat,[],[s732,s773]) ).

cnf(s775,plain,
    ~ spl0_49,
    inference(rat,[],[s733,s773]) ).

cnf(s776,plain,
    ~ spl0_46,
    inference(rat,[],[s514,s326,s78,s116,s117,s39,s29,s724,s147,s753,s703,s33,s765,s729,s770,s693,s775,s772,s739]) ).

cnf(s777,plain,
    $false,
    inference(rat,[],[s48,s693,s774,s776]) ).

fof(f2226,plain,
    $false,
    inference(avatar_sat_refutation,[],[s777]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN462-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 16:06:19 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12  Running first-order theorem proving
% 0.08/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.77/0.60  % (3487105)Input is clausal, will run a generic CNF schedule.
% 1.77/0.60  % (3487113)lrs+10_1_sil=8000:sp=occurrence:random_seed=1570732454:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.77/0.60  % (3487110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3107475517:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.77/0.60  % (3487112)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1709184906:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.77/0.60  % (3487111)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2288303705:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.77/0.60  % (3487116)dis-21_1_sil=8000:lcm=predicate:random_seed=348758797:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.77/0.60  % (3487114)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4022921973:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.77/0.60  % (3487115)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2307940762:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.77/0.60  % (3487116)First to succeed.
% 1.77/0.60  % (3487113)Also succeeded, but the first one will report.
% 1.77/0.60  % (3487116)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3487105"
% 1.77/0.60  % (3487115)Also succeeded, but the first one will report.
% 1.77/0.60  % (3487114)Also succeeded, but the first one will report.
% 1.77/0.60  % (3487116)Refutation found. Thanks to Tanya!
% 1.77/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.77/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.69  % (3487116)------------------------------
% 2.22/0.69  % (3487116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/0.69  % (3487116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.69  % (3487116)CaDiCaL version: 2.1.3
% 2.22/0.69  % (3487116)Termination reason: Refutation
% 2.22/0.69  % (3487116)Time elapsed: 0.019 s
% 2.22/0.69  % (3487116)Peak memory usage: 90 MB
% 2.22/0.69  % (3487116)Instructions burned: 55 (million)
% 2.22/0.69  % (3487116)------------------------------
% 2.22/0.69  % (3487116)------------------------------
% 2.22/0.69  % (3487105)Success in time 0.291 s
% 2.22/0.69  % Vampire exiting
%------------------------------------------------------------------------------