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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN473-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:11:13 PM UTC 2026

% Result   : Unsatisfiable 0.21s 0.33s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :  224
% Syntax   : Number of formulae    :  840 (  19 unt; 122 def)
%            Number of atoms       : 2721 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3150 (1269   ~;1759   |;   0   &)
%                                         ( 122 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  150 ( 149 usr; 146 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  196 (   0 sgn 196   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

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

fof(f23,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f33,negated_conjecture,
    ( hskp9
    | hskp3
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp27
    | hskp21
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp22
    | hskp1
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp30
    | c0_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c1_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp30
    | c3_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c0_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c1_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp29
    | c2_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c1_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c2_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp28
    | c3_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c0_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c2_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp27
    | c3_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c2_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp26
    | c3_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c1_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c0_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp21
    | c3_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp20
    | c1_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f63,negated_conjecture,
    ( ~ hskp17
    | c0_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c1_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c2_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp15
    | c3_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c1_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp12
    | c1_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c2_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c3_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c0_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp9
    | c1_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c1_1(a805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c1_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c3_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp6
    | c2_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c3_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp4
    | c0_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp4
    | c3_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp3
    | c0_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c2_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f86,negated_conjecture,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a840)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a838)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a825)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f105,negated_conjecture,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a806)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a803)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a802)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a799)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp4
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp17
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp13
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp29
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp9
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp26
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f199,plain,
    ( hskp28
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f217,plain,
    ( hskp10
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f219,plain,
    ( hskp8
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f229,plain,
    ( ~ hskp9
    | ~ hskp3
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f230,plain,
    ( hskp27
    | ~ hskp21
    | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f233,plain,
    ( ~ hskp28
    | ~ hskp8
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f234,plain,
    ( ~ hskp22
    | ~ hskp1
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f235,plain,
    ( hskp30
    | c0_1(a867) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f236,plain,
    ( hskp30
    | ~ c1_1(a867) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f237,plain,
    ( hskp30
    | c3_1(a867) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f238,plain,
    ( ~ hskp29
    | ~ c1_1(a829) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f239,plain,
    ( ~ hskp29
    | ~ c2_1(a829) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f240,plain,
    ( hskp28
    | ~ c1_1(a797) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f241,plain,
    ( hskp28
    | ~ c2_1(a797) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f242,plain,
    ( hskp28
    | c3_1(a797) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f243,plain,
    ( ~ hskp27
    | ~ c2_1(a796) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f244,plain,
    ( hskp26
    | ~ c2_1(a869) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f245,plain,
    ( hskp26
    | c3_1(a869) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f249,plain,
    ( hskp22
    | ~ c1_1(a840) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f251,plain,
    ( hskp21
    | c0_1(a838) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f252,plain,
    ( hskp21
    | c3_1(a838) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f253,plain,
    ( ~ hskp20
    | ~ c1_1(a833) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f255,plain,
    ( ~ hskp17
    | ~ c1_1(a825) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f256,plain,
    ( hskp15
    | ~ c2_1(a817) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f257,plain,
    ( hskp15
    | c3_1(a817) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f259,plain,
    ( hskp13
    | ~ c1_1(a814) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f260,plain,
    ( ~ hskp12
    | ~ c1_1(a809) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f261,plain,
    ( ~ hskp12
    | ~ c2_1(a809) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f262,plain,
    ( hskp11
    | c3_1(a808) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f263,plain,
    ( hskp9
    | c0_1(a806) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f264,plain,
    ( hskp9
    | ~ c1_1(a806) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f265,plain,
    ( hskp8
    | ~ c1_1(a805) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f266,plain,
    ( hskp7
    | ~ c1_1(a803) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f267,plain,
    ( hskp7
    | c3_1(a803) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f268,plain,
    ( ~ hskp6
    | ~ c2_1(a802) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f269,plain,
    ( hskp5
    | c3_1(a800) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f270,plain,
    ( hskp4
    | c0_1(a799) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f271,plain,
    ( hskp4
    | c3_1(a799) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f272,plain,
    ( hskp3
    | c0_1(a798) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f273,plain,
    ( hskp3
    | ~ c2_1(a798) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f274,plain,
    ( hskp1
    | c3_1(a794) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f277,plain,
    ( ~ c0_1(a869)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f282,plain,
    ( ~ c0_1(a840)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f283,plain,
    ( c2_1(a838)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f284,plain,
    ( c2_1(a833)
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f289,plain,
    ( c2_1(a825)
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f292,plain,
    ( c1_1(a817)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f295,plain,
    ( ~ c0_1(a814)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f296,plain,
    ( ~ c3_1(a814)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f297,plain,
    ( c1_1(a808)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f298,plain,
    ( c2_1(a808)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f299,plain,
    ( ~ c0_1(a807)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f300,plain,
    ( c2_1(a807)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f301,plain,
    ( ~ c3_1(a807)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f302,plain,
    ( ~ c3_1(a806)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f303,plain,
    ( c2_1(a805)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f304,plain,
    ( ~ c3_1(a805)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f305,plain,
    ( c2_1(a803)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f307,plain,
    ( ~ c0_1(a800)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f308,plain,
    ( c1_1(a800)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f309,plain,
    ( c1_1(a799)
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f310,plain,
    ( ~ c3_1(a798)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f314,plain,
    ( ~ c0_1(a794)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f315,plain,
    ( c2_1(a794)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f318,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp27
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ hskp4
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f330,plain,
    ! [X0] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | hskp17
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f332,plain,
    ! [X0] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ hskp13
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f335,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp29
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f337,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ hskp9
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f343,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ hskp30
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ hskp26
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f347,plain,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ hskp21
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f373,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f374,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f377,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f378,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f383,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f386,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f389,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f393,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f381,f393,f389,f386,f383]) ).

fof(f397,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f400,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f403,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f380,f403,f389,f400,f397]) ).

fof(f407,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f408,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f410,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f413,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f415,plain,
    ( spl0_8
    | spl0_9
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f379,f413,f389,f410,f407]) ).

fof(f417,definition,
    ( spl0_11
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f420,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f422,plain,
    ( spl0_11
    | spl0_8
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f378,f420,f389,f407,f417]) ).

fof(f424,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f427,definition,
    ( spl0_14
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f430,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl0_13
    | spl0_14
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f377,f430,f389,f427,f424]) ).

fof(f434,definition,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f437,definition,
    ( spl0_17
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f440,definition,
    ( spl0_18
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_16
    | spl0_17
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f376,f440,f389,f437,f434]) ).

fof(f443,plain,
    ( spl0_16
    | spl0_11
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f375,f413,f389,f417,f434]) ).

fof(f445,definition,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f448,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f449,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f450,plain,
    ( spl0_19
    | spl0_20
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f374,f420,f389,f448,f445]) ).

fof(f452,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( spl0_21
    | spl0_17
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f373,f430,f389,f437,f452]) ).

fof(f456,definition,
    ( spl0_22
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f470,definition,
    ( spl0_26
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_26
    | spl0_21
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f370,f440,f389,f452,f470]) ).

fof(f474,definition,
    ( spl0_27
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ spl0_27
    | spl0_10
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f369,f393,f389,f413,f474]) ).

fof(f479,definition,
    ( spl0_28
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ spl0_28
    | spl0_6
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f368,f393,f389,f400,f479]) ).

fof(f483,plain,
    ( ~ spl0_28
    | spl0_12
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f367,f410,f389,f420,f479]) ).

fof(f485,definition,
    ( spl0_29
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_29
    | spl0_8
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f366,f393,f389,f407,f485]) ).

fof(f490,definition,
    ( spl0_30
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f495,definition,
    ( spl0_31
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f498,plain,
    ( ~ spl0_31
    | spl0_17
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f364,f400,f389,f437,f495]) ).

fof(f500,definition,
    ( spl0_32
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f504,definition,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f505,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f506,plain,
    ( ~ spl0_32
    | spl0_11
    | spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f363,f504,f389,f417,f500]) ).

fof(f513,definition,
    ( spl0_35
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f517,definition,
    ( spl0_36
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f518,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( ~ spl0_35
    | spl0_13
    | spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f361,f517,f389,f424,f513]) ).

fof(f521,definition,
    ( spl0_37
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f524,plain,
    ( ~ spl0_37
    | spl0_19
    | spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f360,f517,f389,f445,f521]) ).

fof(f527,definition,
    ( spl0_38
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ spl0_38
    | spl0_16
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f358,f420,f389,f434,f527]) ).

fof(f532,definition,
    ( spl0_39
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f535,plain,
    ( spl0_39
    | spl0_19
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f357,f427,f389,f445,f532]) ).

fof(f537,definition,
    ( spl0_40
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f553,definition,
    ( spl0_44
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f556,plain,
    ( ~ spl0_44
    | spl0_5
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f354,f407,f389,f397,f553]) ).

fof(f557,plain,
    ( spl0_29
    | spl0_16
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f353,f424,f389,f434,f485]) ).

fof(f559,definition,
    ( spl0_45
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f564,definition,
    ( spl0_46
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f576,definition,
    ( spl0_48
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ spl0_45
    | ~ spl0_48
    | spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f347,f517,f389,f576,f559]) ).

fof(f581,definition,
    ( spl0_49
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f591,definition,
    ( spl0_51
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ spl0_45
    | ~ spl0_51
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f344,f403,f389,f591,f559]) ).

fof(f596,definition,
    ( spl0_52
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f600,definition,
    ( spl0_53
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f603,plain,
    ( spl0_52
    | ~ spl0_53
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f343,f403,f389,f600,f596]) ).

fof(f605,definition,
    ( spl0_54
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f625,plain,
    ( spl0_52
    | ~ spl0_38
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f337,f410,f389,f527,f596]) ).

fof(f627,plain,
    ( ~ spl0_38
    | spl0_40
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f335,f383,f389,f537,f527]) ).

fof(f634,definition,
    ( spl0_59
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ spl0_54
    | ~ spl0_32
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f332,f407,f389,f500,f605]) ).

fof(f640,plain,
    ( ~ spl0_31
    | spl0_59
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f330,f407,f389,f634,f495]) ).

fof(f648,definition,
    ( spl0_60
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ spl0_31
    | ~ spl0_46
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f322,f445,f389,f564,f495]) ).

fof(f660,plain,
    ( ~ spl0_28
    | spl0_49
    | spl0_22
    | spl0_3 ),
    inference(avatar_split_clause,[],[f318,f389,f456,f581,f479]) ).

fof(f668,definition,
    ( spl0_63
  <=> c2_1(a794) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f670,plain,
    ( c2_1(a794)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( spl0_54
    | spl0_63 ),
    inference(avatar_split_clause,[],[f315,f668,f605]) ).

fof(f673,definition,
    ( spl0_64
  <=> c0_1(a794) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f676,plain,
    ( spl0_54
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f314,f673,f605]) ).

fof(f693,definition,
    ( spl0_68
  <=> c3_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f696,plain,
    ( spl0_44
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f310,f693,f553]) ).

fof(f698,definition,
    ( spl0_69
  <=> c1_1(a799) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f701,plain,
    ( spl0_46
    | spl0_69 ),
    inference(avatar_split_clause,[],[f309,f698,f564]) ).

fof(f703,definition,
    ( spl0_70
  <=> c1_1(a800) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_27
    | spl0_70 ),
    inference(avatar_split_clause,[],[f308,f703,f474]) ).

fof(f708,definition,
    ( spl0_71
  <=> c0_1(a800) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_27
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f307,f708,f474]) ).

fof(f718,definition,
    ( spl0_73
  <=> c0_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ spl0_39
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f120,f718,f532]) ).

fof(f723,definition,
    ( spl0_74
  <=> c2_1(a803) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f725,plain,
    ( c2_1(a803)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f726,plain,
    ( spl0_37
    | spl0_74 ),
    inference(avatar_split_clause,[],[f305,f723,f521]) ).

fof(f728,definition,
    ( spl0_75
  <=> c3_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ c3_1(a805)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f731,plain,
    ( spl0_31
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f304,f728,f495]) ).

fof(f733,definition,
    ( spl0_76
  <=> c2_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f735,plain,
    ( c2_1(a805)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( spl0_31
    | spl0_76 ),
    inference(avatar_split_clause,[],[f303,f733,f495]) ).

fof(f738,definition,
    ( spl0_77
  <=> c3_1(a806) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ c3_1(a806)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( spl0_38
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f302,f738,f527]) ).

fof(f743,definition,
    ( spl0_78
  <=> c3_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ c3_1(a807)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( spl0_60
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f301,f743,f648]) ).

fof(f748,definition,
    ( spl0_79
  <=> c2_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f750,plain,
    ( c2_1(a807)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl0_60
    | spl0_79 ),
    inference(avatar_split_clause,[],[f300,f748,f648]) ).

fof(f753,definition,
    ( spl0_80
  <=> c0_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_60
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f299,f753,f648]) ).

fof(f758,definition,
    ( spl0_81
  <=> c2_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f760,plain,
    ( c2_1(a808)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_45
    | spl0_81 ),
    inference(avatar_split_clause,[],[f298,f758,f559]) ).

fof(f763,definition,
    ( spl0_82
  <=> c1_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_45
    | spl0_82 ),
    inference(avatar_split_clause,[],[f297,f763,f559]) ).

fof(f768,definition,
    ( spl0_83
  <=> c0_1(a809) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f768,f485]) ).

fof(f773,definition,
    ( spl0_84
  <=> c3_1(a814) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ c3_1(a814)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( spl0_32
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f296,f773,f500]) ).

fof(f778,definition,
    ( spl0_85
  <=> c0_1(a814) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f781,plain,
    ( spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f295,f778,f500]) ).

fof(f793,definition,
    ( spl0_88
  <=> c1_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f796,plain,
    ( spl0_35
    | spl0_88 ),
    inference(avatar_split_clause,[],[f292,f793,f513]) ).

fof(f813,definition,
    ( spl0_92
  <=> c2_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f815,plain,
    ( c2_1(a825)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( ~ spl0_59
    | spl0_92 ),
    inference(avatar_split_clause,[],[f289,f813,f634]) ).

fof(f843,definition,
    ( spl0_98
  <=> c2_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f845,plain,
    ( c2_1(a833)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( ~ spl0_52
    | spl0_98 ),
    inference(avatar_split_clause,[],[f284,f843,f596]) ).

fof(f848,definition,
    ( spl0_99
  <=> c0_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_52
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f94,f848,f596]) ).

fof(f853,definition,
    ( spl0_100
  <=> c2_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f855,plain,
    ( c2_1(a838)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( spl0_48
    | spl0_100 ),
    inference(avatar_split_clause,[],[f283,f853,f576]) ).

fof(f858,definition,
    ( spl0_101
  <=> c0_1(a840) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f861,plain,
    ( spl0_30
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f282,f858,f490]) ).

fof(f888,definition,
    ( spl0_107
  <=> c0_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f891,plain,
    ( spl0_51
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f277,f888,f591]) ).

fof(f903,definition,
    ( spl0_110
  <=> c3_1(a794) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f906,plain,
    ( spl0_110
    | spl0_54 ),
    inference(avatar_split_clause,[],[f274,f605,f903]) ).

fof(f908,definition,
    ( spl0_111
  <=> c2_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ c2_1(a798)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( ~ spl0_111
    | spl0_44 ),
    inference(avatar_split_clause,[],[f273,f553,f908]) ).

fof(f913,definition,
    ( spl0_112
  <=> c0_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_112
    | spl0_44 ),
    inference(avatar_split_clause,[],[f272,f553,f913]) ).

fof(f918,definition,
    ( spl0_113
  <=> c3_1(a799) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f920,plain,
    ( c3_1(a799)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( spl0_113
    | spl0_46 ),
    inference(avatar_split_clause,[],[f271,f564,f918]) ).

fof(f923,definition,
    ( spl0_114
  <=> c0_1(a799) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f926,plain,
    ( spl0_114
    | spl0_46 ),
    inference(avatar_split_clause,[],[f270,f564,f923]) ).

fof(f928,definition,
    ( spl0_115
  <=> c3_1(a800) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f930,plain,
    ( c3_1(a800)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_115
    | spl0_27 ),
    inference(avatar_split_clause,[],[f269,f474,f928]) ).

fof(f933,definition,
    ( spl0_116
  <=> c2_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f935,plain,
    ( ~ c2_1(a802)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f936,plain,
    ( ~ spl0_116
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f268,f532,f933]) ).

fof(f938,definition,
    ( spl0_117
  <=> c3_1(a803) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f941,plain,
    ( spl0_117
    | spl0_37 ),
    inference(avatar_split_clause,[],[f267,f521,f938]) ).

fof(f943,definition,
    ( spl0_118
  <=> c1_1(a803) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f946,plain,
    ( ~ spl0_118
    | spl0_37 ),
    inference(avatar_split_clause,[],[f266,f521,f943]) ).

fof(f948,definition,
    ( spl0_119
  <=> c1_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f951,plain,
    ( ~ spl0_119
    | spl0_31 ),
    inference(avatar_split_clause,[],[f265,f495,f948]) ).

fof(f953,definition,
    ( spl0_120
  <=> c1_1(a806) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f956,plain,
    ( ~ spl0_120
    | spl0_38 ),
    inference(avatar_split_clause,[],[f264,f527,f953]) ).

fof(f958,definition,
    ( spl0_121
  <=> c0_1(a806) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f961,plain,
    ( spl0_121
    | spl0_38 ),
    inference(avatar_split_clause,[],[f263,f527,f958]) ).

fof(f963,definition,
    ( spl0_122
  <=> c3_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f965,plain,
    ( c3_1(a808)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f966,plain,
    ( spl0_122
    | spl0_45 ),
    inference(avatar_split_clause,[],[f262,f559,f963]) ).

fof(f968,definition,
    ( spl0_123
  <=> c2_1(a809) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f970,plain,
    ( ~ c2_1(a809)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( ~ spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f261,f485,f968]) ).

fof(f973,definition,
    ( spl0_124
  <=> c1_1(a809) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ spl0_124
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f260,f485,f973]) ).

fof(f978,definition,
    ( spl0_125
  <=> c1_1(a814) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f981,plain,
    ( ~ spl0_125
    | spl0_32 ),
    inference(avatar_split_clause,[],[f259,f500,f978]) ).

fof(f988,definition,
    ( spl0_127
  <=> c3_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f990,plain,
    ( c3_1(a817)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f991,plain,
    ( spl0_127
    | spl0_35 ),
    inference(avatar_split_clause,[],[f257,f513,f988]) ).

fof(f993,definition,
    ( spl0_128
  <=> c2_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ c2_1(a817)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f996,plain,
    ( ~ spl0_128
    | spl0_35 ),
    inference(avatar_split_clause,[],[f256,f513,f993]) ).

fof(f998,definition,
    ( spl0_129
  <=> c1_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1001,plain,
    ( ~ spl0_129
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f255,f634,f998]) ).

fof(f1003,definition,
    ( spl0_130
  <=> c0_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1006,plain,
    ( spl0_130
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f63,f634,f1003]) ).

fof(f1013,definition,
    ( spl0_132
  <=> c1_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1015,plain,
    ( ~ c1_1(a833)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1016,plain,
    ( ~ spl0_132
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f253,f596,f1013]) ).

fof(f1018,definition,
    ( spl0_133
  <=> c3_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1020,plain,
    ( c3_1(a838)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1021,plain,
    ( spl0_133
    | spl0_48 ),
    inference(avatar_split_clause,[],[f252,f576,f1018]) ).

fof(f1023,definition,
    ( spl0_134
  <=> c0_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1026,plain,
    ( spl0_134
    | spl0_48 ),
    inference(avatar_split_clause,[],[f251,f576,f1023]) ).

fof(f1033,definition,
    ( spl0_136
  <=> c1_1(a840) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1035,plain,
    ( ~ c1_1(a840)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1036,plain,
    ( ~ spl0_136
    | spl0_30 ),
    inference(avatar_split_clause,[],[f249,f490,f1033]) ).

fof(f1058,definition,
    ( spl0_141
  <=> c3_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1060,plain,
    ( c3_1(a869)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1061,plain,
    ( spl0_141
    | spl0_51 ),
    inference(avatar_split_clause,[],[f245,f591,f1058]) ).

fof(f1063,definition,
    ( spl0_142
  <=> c2_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1065,plain,
    ( ~ c2_1(a869)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1066,plain,
    ( ~ spl0_142
    | spl0_51 ),
    inference(avatar_split_clause,[],[f244,f591,f1063]) ).

fof(f1068,definition,
    ( spl0_143
  <=> c3_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1070,plain,
    ( c3_1(a796)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( spl0_143
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f50,f581,f1068]) ).

fof(f1073,definition,
    ( spl0_144
  <=> c2_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ c2_1(a796)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( ~ spl0_144
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f243,f581,f1073]) ).

fof(f1078,definition,
    ( spl0_145
  <=> c0_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1081,plain,
    ( spl0_145
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f48,f581,f1078]) ).

fof(f1083,definition,
    ( spl0_146
  <=> c3_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1085,plain,
    ( c3_1(a797)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( spl0_146
    | spl0_28 ),
    inference(avatar_split_clause,[],[f242,f479,f1083]) ).

fof(f1088,definition,
    ( spl0_147
  <=> c2_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1090,plain,
    ( ~ c2_1(a797)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1091,plain,
    ( ~ spl0_147
    | spl0_28 ),
    inference(avatar_split_clause,[],[f241,f479,f1088]) ).

fof(f1093,definition,
    ( spl0_148
  <=> c1_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1096,plain,
    ( ~ spl0_148
    | spl0_28 ),
    inference(avatar_split_clause,[],[f240,f479,f1093]) ).

fof(f1098,definition,
    ( spl0_149
  <=> c2_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1100,plain,
    ( ~ c2_1(a829)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1101,plain,
    ( ~ spl0_149
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f239,f537,f1098]) ).

fof(f1103,definition,
    ( spl0_150
  <=> c1_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1105,plain,
    ( ~ c1_1(a829)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1106,plain,
    ( ~ spl0_150
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f238,f537,f1103]) ).

fof(f1108,definition,
    ( spl0_151
  <=> c0_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1111,plain,
    ( spl0_151
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f42,f537,f1108]) ).

fof(f1113,definition,
    ( spl0_152
  <=> c3_1(a867) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1115,plain,
    ( c3_1(a867)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1116,plain,
    ( spl0_152
    | spl0_53 ),
    inference(avatar_split_clause,[],[f237,f600,f1113]) ).

fof(f1118,definition,
    ( spl0_153
  <=> c1_1(a867) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1121,plain,
    ( ~ spl0_153
    | spl0_53 ),
    inference(avatar_split_clause,[],[f236,f600,f1118]) ).

fof(f1123,definition,
    ( spl0_154
  <=> c0_1(a867) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1126,plain,
    ( spl0_154
    | spl0_53 ),
    inference(avatar_split_clause,[],[f235,f600,f1123]) ).

fof(f1127,plain,
    ( ~ spl0_45
    | ~ spl0_54
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f234,f490,f605,f559]) ).

fof(f1128,plain,
    ( ~ spl0_60
    | ~ spl0_31
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f233,f479,f495,f648]) ).

fof(f1131,plain,
    ( ~ spl0_28
    | ~ spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f230,f581,f576,f479]) ).

fof(f1132,plain,
    ( ~ spl0_51
    | ~ spl0_44
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f229,f527,f553,f591]) ).

fof(f1142,plain,
    ( ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f219,f495,f389]) ).

fof(f1144,plain,
    ( ~ spl0_3
    | spl0_60 ),
    inference(avatar_split_clause,[],[f217,f648,f389]) ).

fof(f1162,plain,
    ( ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f199,f479,f389]) ).

fof(f1169,definition,
    ( spl0_155
  <=> c1_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1173,plain,
    ( ~ c0_1(a796)
    | c1_1(a796)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f1070,f394]) ).

fof(f1175,definition,
    ( spl0_156
  <=> c1_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl0_156
    | ~ spl0_145
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1173,f1068,f393,f1078,f1175]) ).

fof(f1190,plain,
    ( c1_1(a814)
    | c0_1(a814)
    | ~ spl0_5
    | spl0_84 ),
    inference(resolution,[],[f398,f775]) ).

fof(f1203,definition,
    ( spl0_157
  <=> c1_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1224,definition,
    ( spl0_161
  <=> c0_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1229,definition,
    ( spl0_162
  <=> c0_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1235,definition,
    ( spl0_163
  <=> c0_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1252,definition,
    ( spl0_166
  <=> c1_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1257,definition,
    ( spl0_167
  <=> c0_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1264,plain,
    ( ~ c3_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_7
    | spl0_144 ),
    inference(resolution,[],[f404,f1075]) ).

fof(f1286,plain,
    ( ~ c1_1(a796)
    | ~ c3_1(a796)
    | ~ spl0_6
    | spl0_144 ),
    inference(resolution,[],[f401,f1075]) ).

fof(f1302,plain,
    ( ~ c0_1(a797)
    | c1_1(a797)
    | ~ spl0_4
    | ~ spl0_146 ),
    inference(resolution,[],[f1085,f394]) ).

fof(f1306,plain,
    ( c3_1(a833)
    | c1_1(a833)
    | ~ spl0_8
    | ~ spl0_98 ),
    inference(resolution,[],[f408,f845]) ).

fof(f1313,definition,
    ( spl0_168
  <=> c3_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1314,plain,
    ( ~ c3_1(a833)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1315,plain,
    ( c3_1(a833)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1318,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(resolution,[],[f411,f401]) ).

fof(f1320,plain,
    ( ~ c0_1(a838)
    | ~ c3_1(a838)
    | ~ spl0_9
    | ~ spl0_100 ),
    inference(resolution,[],[f411,f855]) ).

fof(f1326,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1318]) ).

fof(f1328,plain,
    ( spl0_33
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1326,f410,f400,f504]) ).

fof(f1341,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_10
    | spl0_111 ),
    inference(resolution,[],[f414,f910]) ).

fof(f1345,plain,
    ( ~ spl0_112
    | spl0_68
    | ~ spl0_10
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1341,f908,f413,f693,f913]) ).

fof(f1351,plain,
    ( spl0_132
    | spl0_168
    | ~ spl0_8
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1306,f843,f407,f1313,f1013]) ).

fof(f1357,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(resolution,[],[f408,f414]) ).

fof(f1362,plain,
    ( c3_1(a805)
    | c1_1(a805)
    | ~ spl0_8
    | ~ spl0_76 ),
    inference(resolution,[],[f408,f735]) ).

fof(f1365,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1357]) ).

fof(f1366,plain,
    ( spl0_15
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1365,f413,f407,f430]) ).

fof(f1367,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(resolution,[],[f418,f408]) ).

fof(f1369,plain,
    ( c0_1(a797)
    | c1_1(a797)
    | ~ spl0_11
    | spl0_147 ),
    inference(resolution,[],[f418,f1090]) ).

fof(f1378,plain,
    ( c0_1(a809)
    | c1_1(a809)
    | ~ spl0_11
    | spl0_123 ),
    inference(resolution,[],[f418,f970]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1367]) ).

fof(f1392,plain,
    ( spl0_124
    | spl0_83
    | ~ spl0_11
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1378,f968,f417,f768,f973]) ).

fof(f1402,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1385,f417,f407,f397]) ).

fof(f1403,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(resolution,[],[f425,f408]) ).

fof(f1421,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1403]) ).

fof(f1431,definition,
    ( spl0_171
  <=> c3_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1458,definition,
    ( spl0_175
  <=> c3_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1460,plain,
    ( c3_1(a829)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1458]) ).

fof(f1462,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1421,f424,f407,f397]) ).

fof(f1467,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(resolution,[],[f431,f394]) ).

fof(f1480,plain,
    ( ~ c0_1(a806)
    | c1_1(a806)
    | ~ spl0_15
    | spl0_77 ),
    inference(resolution,[],[f431,f740]) ).

fof(f1489,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1467]) ).

fof(f1490,plain,
    ( spl0_120
    | ~ spl0_121
    | ~ spl0_15
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1480,f738,f430,f958,f953]) ).

fof(f1495,plain,
    ( ~ c0_1(a829)
    | ~ spl0_4
    | ~ spl0_15
    | spl0_150 ),
    inference(resolution,[],[f1489,f1105]) ).

fof(f1517,plain,
    ( c0_1(a797)
    | ~ c3_1(a797)
    | ~ spl0_1
    | spl0_147 ),
    inference(resolution,[],[f384,f1090]) ).

fof(f1518,plain,
    ( c0_1(a869)
    | ~ c3_1(a869)
    | ~ spl0_1
    | spl0_142 ),
    inference(resolution,[],[f384,f1065]) ).

fof(f1532,plain,
    ( ~ spl0_141
    | spl0_107
    | ~ spl0_1
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1518,f1063,f383,f888,f1058]) ).

fof(f1533,plain,
    ( ~ spl0_146
    | spl0_167
    | ~ spl0_1
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1517,f1088,f383,f1257,f1083]) ).

fof(f1535,plain,
    ( ~ spl0_151
    | ~ spl0_4
    | ~ spl0_15
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1495,f1103,f430,f393,f1108]) ).

fof(f1554,plain,
    ( ~ c0_1(a829)
    | c1_1(a829)
    | ~ spl0_4
    | ~ spl0_175 ),
    inference(resolution,[],[f1460,f394]) ).

fof(f1567,plain,
    ( c1_1(a805)
    | c0_1(a805)
    | ~ spl0_5
    | spl0_75 ),
    inference(resolution,[],[f398,f730]) ).

fof(f1584,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(resolution,[],[f421,f414]) ).

fof(f1591,plain,
    ( ~ c0_1(a825)
    | c1_1(a825)
    | ~ spl0_12
    | ~ spl0_92 ),
    inference(resolution,[],[f421,f815]) ).

fof(f1593,plain,
    ( ~ c0_1(a805)
    | c1_1(a805)
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(resolution,[],[f421,f735]) ).

fof(f1597,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f1584]) ).

fof(f1602,plain,
    ( spl0_15
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1597,f420,f413,f430]) ).

fof(f1603,plain,
    ( ~ spl0_133
    | ~ spl0_134
    | ~ spl0_9
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1320,f853,f410,f1023,f1018]) ).

fof(f1615,plain,
    ( spl0_148
    | spl0_167
    | ~ spl0_11
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1369,f1088,f417,f1257,f1093]) ).

fof(f1616,plain,
    ( spl0_148
    | ~ spl0_167
    | ~ spl0_4
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1302,f1083,f393,f1257,f1093]) ).

fof(f1619,plain,
    ( ~ c0_1(a838)
    | c1_1(a838)
    | ~ spl0_4
    | ~ spl0_133 ),
    inference(resolution,[],[f1020,f394]) ).

fof(f1630,plain,
    ( ~ c0_1(a808)
    | ~ c3_1(a808)
    | ~ spl0_9
    | ~ spl0_81 ),
    inference(resolution,[],[f411,f760]) ).

fof(f1657,plain,
    ( c1_1(a833)
    | ~ c3_1(a833)
    | ~ spl0_14
    | ~ spl0_98 ),
    inference(resolution,[],[f428,f845]) ).

fof(f1670,plain,
    ( ~ spl0_168
    | spl0_132
    | ~ spl0_14
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1657,f843,f427,f1013,f1313]) ).

fof(f1673,plain,
    ( c1_1(a833)
    | c0_1(a833)
    | ~ spl0_5
    | spl0_168 ),
    inference(resolution,[],[f1314,f398]) ).

fof(f1674,plain,
    ( spl0_99
    | spl0_132
    | ~ spl0_5
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1673,f1313,f397,f1013,f848]) ).

fof(f1675,plain,
    ( ~ c0_1(a867)
    | c1_1(a867)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f1115,f394]) ).

fof(f1676,plain,
    ( spl0_153
    | ~ spl0_154
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1675,f1113,f393,f1123,f1118]) ).

fof(f1707,plain,
    ( ~ c3_1(a808)
    | c0_1(a808)
    | ~ spl0_16
    | ~ spl0_81 ),
    inference(resolution,[],[f435,f760]) ).

fof(f1722,plain,
    ( spl0_162
    | ~ spl0_122
    | ~ spl0_16
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1707,f758,f434,f963,f1229]) ).

fof(f1727,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f438,f398]) ).

fof(f1734,plain,
    ( c0_1(a833)
    | c1_1(a833)
    | ~ spl0_17
    | ~ spl0_168 ),
    inference(resolution,[],[f438,f1315]) ).

fof(f1745,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1727]) ).

fof(f1747,plain,
    ( spl0_132
    | spl0_99
    | ~ spl0_17
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1734,f1313,f437,f848,f1013]) ).

fof(f1764,plain,
    ( ~ c1_1(a869)
    | c0_1(a869)
    | ~ spl0_19
    | ~ spl0_141 ),
    inference(resolution,[],[f446,f1060]) ).

fof(f1768,plain,
    ( ~ c1_1(a817)
    | c0_1(a817)
    | ~ spl0_19
    | ~ spl0_127 ),
    inference(resolution,[],[f446,f990]) ).

fof(f1770,plain,
    ( ~ c1_1(a808)
    | c0_1(a808)
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f446,f965]) ).

fof(f1772,plain,
    ( ~ c1_1(a800)
    | c0_1(a800)
    | ~ spl0_19
    | ~ spl0_115 ),
    inference(resolution,[],[f446,f930]) ).

fof(f1790,plain,
    ( c3_1(a802)
    | c0_1(a802)
    | ~ spl0_13
    | spl0_116 ),
    inference(resolution,[],[f935,f425]) ).

fof(f1794,plain,
    ( ~ c1_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_20
    | spl0_144 ),
    inference(resolution,[],[f449,f1075]) ).

fof(f1806,plain,
    ( ~ spl0_145
    | ~ spl0_156
    | ~ spl0_20
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1794,f1073,f448,f1175,f1078]) ).

fof(f1807,plain,
    ( spl0_107
    | ~ spl0_166
    | ~ spl0_19
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1764,f1058,f445,f1252,f888]) ).

fof(f1809,plain,
    ( spl0_163
    | ~ spl0_88
    | ~ spl0_19
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1768,f988,f445,f793,f1235]) ).

fof(f1810,plain,
    ( spl0_162
    | ~ spl0_82
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1770,f963,f445,f763,f1229]) ).

fof(f1812,plain,
    ( spl0_71
    | ~ spl0_70
    | ~ spl0_19
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1772,f928,f445,f703,f708]) ).

fof(f1818,plain,
    ( ~ spl0_122
    | ~ spl0_162
    | ~ spl0_9
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1630,f758,f410,f1229,f963]) ).

fof(f1819,plain,
    ( ~ spl0_145
    | ~ spl0_143
    | ~ spl0_7
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1264,f1073,f403,f1068,f1078]) ).

fof(f1825,plain,
    ( spl0_119
    | spl0_75
    | ~ spl0_8
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1362,f733,f407,f728,f948]) ).

fof(f1828,plain,
    ( spl0_129
    | ~ spl0_130
    | ~ spl0_12
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1591,f813,f420,f1003,f998]) ).

fof(f1829,plain,
    ( spl0_119
    | ~ spl0_161
    | ~ spl0_12
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1593,f733,f420,f1224,f948]) ).

fof(f1855,plain,
    ( c0_1(a840)
    | ~ spl0_5
    | ~ spl0_17
    | spl0_136 ),
    inference(resolution,[],[f1745,f1035]) ).

fof(f1856,plain,
    ( c0_1(a833)
    | ~ spl0_5
    | ~ spl0_17
    | spl0_132 ),
    inference(resolution,[],[f1745,f1015]) ).

fof(f1893,plain,
    ( c3_1(a807)
    | c1_1(a807)
    | ~ spl0_8
    | ~ spl0_79 ),
    inference(resolution,[],[f408,f750]) ).

fof(f1972,plain,
    ( c3_1(a807)
    | c0_1(a807)
    | ~ spl0_21
    | ~ spl0_79 ),
    inference(resolution,[],[f453,f750]) ).

fof(f2003,plain,
    ( c0_1(a807)
    | ~ c1_1(a807)
    | ~ spl0_22
    | spl0_78 ),
    inference(resolution,[],[f457,f745]) ).

fof(f2007,plain,
    ( ~ spl0_157
    | spl0_80
    | ~ spl0_22
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2003,f743,f456,f753,f1203]) ).

fof(f2015,plain,
    ( c0_1(a797)
    | c1_1(a797)
    | ~ spl0_17
    | ~ spl0_146 ),
    inference(resolution,[],[f1085,f438]) ).

fof(f2099,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f435,f401]) ).

fof(f2112,plain,
    ( ~ c3_1(a794)
    | c0_1(a794)
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(resolution,[],[f435,f670]) ).

fof(f2117,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f2099]) ).

fof(f2185,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(resolution,[],[f471,f401]) ).

fof(f2201,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f2185]) ).

fof(f2209,plain,
    ( ~ c1_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(resolution,[],[f505,f1020]) ).

fof(f2212,plain,
    ( ~ c1_1(a808)
    | ~ c0_1(a808)
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(resolution,[],[f505,f965]) ).

fof(f2215,plain,
    ( ~ c1_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(resolution,[],[f505,f920]) ).

fof(f2219,plain,
    ( ~ spl0_114
    | ~ spl0_69
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2215,f918,f504,f698,f923]) ).

fof(f2222,plain,
    ( ~ spl0_162
    | ~ spl0_82
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2212,f963,f504,f763,f1229]) ).

fof(f2224,plain,
    ( ~ spl0_134
    | ~ spl0_155
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2209,f1018,f504,f1169,f1023]) ).

fof(f2254,plain,
    ( ~ c1_1(a817)
    | ~ c3_1(a817)
    | ~ spl0_6
    | spl0_128 ),
    inference(resolution,[],[f995,f401]) ).

fof(f2255,plain,
    ( ~ c3_1(a817)
    | ~ c0_1(a817)
    | ~ spl0_7
    | spl0_128 ),
    inference(resolution,[],[f995,f404]) ).

fof(f2285,plain,
    ( ~ c3_1(a797)
    | c1_1(a797)
    | ~ spl0_36
    | spl0_147 ),
    inference(resolution,[],[f518,f1090]) ).

fof(f2286,plain,
    ( ~ c3_1(a869)
    | c1_1(a869)
    | ~ spl0_36
    | spl0_142 ),
    inference(resolution,[],[f518,f1065]) ).

fof(f2306,plain,
    ( spl0_166
    | ~ spl0_141
    | ~ spl0_36
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2286,f1063,f517,f1058,f1252]) ).

fof(f2324,plain,
    ( spl0_64
    | ~ spl0_110
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2112,f668,f434,f903,f673]) ).

fof(f2326,plain,
    ( spl0_157
    | spl0_78
    | ~ spl0_8
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1893,f748,f407,f743,f1203]) ).

fof(f2333,plain,
    ( spl0_155
    | ~ spl0_134
    | ~ spl0_4
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1619,f1018,f393,f1023,f1169]) ).

fof(f2337,plain,
    ( spl0_150
    | ~ spl0_151
    | ~ spl0_4
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1554,f1458,f393,f1108,f1103]) ).

fof(f2339,plain,
    ( ~ spl0_163
    | ~ spl0_127
    | ~ spl0_7
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2255,f993,f403,f988,f1235]) ).

fof(f2341,plain,
    ( spl0_148
    | spl0_167
    | ~ spl0_17
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2015,f1083,f437,f1257,f1093]) ).

fof(f2344,plain,
    ( spl0_19
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2117,f434,f400,f445]) ).

fof(f2345,plain,
    ( spl0_19
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f2201,f470,f400,f445]) ).

fof(f2346,plain,
    ( ~ spl0_127
    | ~ spl0_88
    | ~ spl0_6
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2254,f993,f400,f793,f988]) ).

fof(f2347,plain,
    ( spl0_85
    | spl0_125
    | ~ spl0_5
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1190,f773,f397,f978,f778]) ).

fof(f2350,plain,
    ( spl0_161
    | spl0_119
    | ~ spl0_5
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1567,f728,f397,f948,f1224]) ).

fof(f2351,plain,
    ( spl0_101
    | ~ spl0_5
    | ~ spl0_17
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1855,f1033,f437,f397,f858]) ).

fof(f2352,plain,
    ( spl0_99
    | ~ spl0_5
    | ~ spl0_17
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1856,f1013,f437,f397,f848]) ).

fof(f2357,plain,
    ( spl0_73
    | spl0_171
    | ~ spl0_13
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1790,f933,f424,f1431,f718]) ).

fof(f2364,plain,
    ( ~ spl0_143
    | ~ spl0_156
    | ~ spl0_6
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1286,f1073,f400,f1175,f1068]) ).

fof(f2370,plain,
    ( spl0_148
    | ~ spl0_146
    | ~ spl0_36
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2285,f1088,f517,f1083,f1093]) ).

fof(f2381,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f387,f408]) ).

fof(f2382,plain,
    ( ~ c0_1(a829)
    | c1_1(a829)
    | ~ spl0_2
    | spl0_149 ),
    inference(resolution,[],[f387,f1100]) ).

fof(f2391,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f2381]) ).

fof(f2395,plain,
    ( spl0_150
    | ~ spl0_151
    | ~ spl0_2
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2382,f1098,f386,f1108,f1103]) ).

fof(f2396,plain,
    ( spl0_15
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2391,f407,f386,f430]) ).

fof(f2412,plain,
    ( c0_1(a802)
    | ~ c3_1(a802)
    | ~ spl0_1
    | spl0_116 ),
    inference(resolution,[],[f384,f935]) ).

fof(f2483,plain,
    ( c1_1(a803)
    | ~ c3_1(a803)
    | ~ spl0_14
    | ~ spl0_74 ),
    inference(resolution,[],[f428,f725]) ).

fof(f2492,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f441,f408]) ).

fof(f2493,plain,
    ( c3_1(a829)
    | c1_1(a829)
    | ~ spl0_18
    | spl0_149 ),
    inference(resolution,[],[f441,f1100]) ).

fof(f2502,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f2492]) ).

fof(f2507,plain,
    ( spl0_150
    | spl0_175
    | ~ spl0_18
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2493,f1098,f440,f1458,f1103]) ).

fof(f2516,plain,
    ( c1_1(a806)
    | ~ spl0_8
    | ~ spl0_18
    | spl0_77 ),
    inference(resolution,[],[f2502,f740]) ).

fof(f2525,plain,
    ( spl0_120
    | ~ spl0_8
    | ~ spl0_18
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2516,f738,f440,f407,f953]) ).

fof(f2527,plain,
    ( spl0_80
    | spl0_78
    | ~ spl0_21
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1972,f748,f452,f743,f753]) ).

fof(f2531,plain,
    ( ~ spl0_117
    | spl0_118
    | ~ spl0_14
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2483,f723,f427,f943,f938]) ).

fof(f2537,plain,
    ( ~ spl0_171
    | spl0_73
    | ~ spl0_1
    | spl0_116 ),
    inference(avatar_split_clause,[],[f2412,f933,f383,f718,f1431]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_8
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_10
    | spl0_11
    | spl0_16 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_12
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_15
    | spl0_17
    | spl0_21 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s12,plain,
    ( spl0_3
    | spl0_18
    | spl0_21
    | spl0_26 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_4
    | spl0_10
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_4
    | spl0_6
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s15,plain,
    ( spl0_3
    | spl0_9
    | spl0_12
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s16,plain,
    ( spl0_3
    | spl0_4
    | spl0_8
    | spl0_29 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_6
    | spl0_17
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_11
    | ~ spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s21,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_19
    | spl0_36
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_12
    | spl0_16
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_14
    | spl0_19
    | spl0_39 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s28,plain,
    ( spl0_3
    | spl0_5
    | spl0_8
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s29,plain,
    ( spl0_3
    | spl0_13
    | spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_36
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s38,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s39,plain,
    ( spl0_3
    | spl0_7
    | spl0_52
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s45,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_38
    | spl0_52 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s47,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_38
    | spl0_40 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s50,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_32
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s52,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_31
    | spl0_59 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s60,plain,
    ( spl0_3
    | spl0_19
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s64,plain,
    ( spl0_3
    | spl0_22
    | ~ spl0_28
    | spl0_49 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s67,plain,
    ( spl0_54
    | spl0_63 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s68,plain,
    ( spl0_54
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s72,plain,
    ( spl0_44
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s73,plain,
    ( spl0_46
    | spl0_69 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s74,plain,
    ( spl0_27
    | spl0_70 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s75,plain,
    ( spl0_27
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s77,plain,
    ( ~ spl0_39
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s78,plain,
    ( spl0_37
    | spl0_74 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s79,plain,
    ( spl0_31
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s80,plain,
    ( spl0_31
    | spl0_76 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s81,plain,
    ( spl0_38
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s82,plain,
    ( spl0_60
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s83,plain,
    ( spl0_60
    | spl0_79 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s84,plain,
    ( spl0_60
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s85,plain,
    ( spl0_45
    | spl0_81 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s86,plain,
    ( spl0_45
    | spl0_82 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s87,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s88,plain,
    ( spl0_32
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s89,plain,
    ( spl0_32
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s92,plain,
    ( spl0_35
    | spl0_88 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s96,plain,
    ( ~ spl0_59
    | spl0_92 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s102,plain,
    ( ~ spl0_52
    | spl0_98 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s103,plain,
    ( ~ spl0_52
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s104,plain,
    ( spl0_48
    | spl0_100 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s105,plain,
    ( spl0_30
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s111,plain,
    ( spl0_51
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s114,plain,
    ( spl0_54
    | spl0_110 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s115,plain,
    ( spl0_44
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s116,plain,
    ( spl0_44
    | spl0_112 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s117,plain,
    ( spl0_46
    | spl0_113 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s118,plain,
    ( spl0_46
    | spl0_114 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s119,plain,
    ( spl0_27
    | spl0_115 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s120,plain,
    ( ~ spl0_39
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s121,plain,
    ( spl0_37
    | spl0_117 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s122,plain,
    ( spl0_37
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s123,plain,
    ( spl0_31
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s124,plain,
    ( spl0_38
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s125,plain,
    ( spl0_38
    | spl0_121 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s126,plain,
    ( spl0_45
    | spl0_122 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s127,plain,
    ( ~ spl0_29
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s128,plain,
    ( ~ spl0_29
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s129,plain,
    ( spl0_32
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s131,plain,
    ( spl0_35
    | spl0_127 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s132,plain,
    ( spl0_35
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s133,plain,
    ( ~ spl0_59
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s134,plain,
    ( ~ spl0_59
    | spl0_130 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s136,plain,
    ( ~ spl0_52
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s137,plain,
    ( spl0_48
    | spl0_133 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s138,plain,
    ( spl0_48
    | spl0_134 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s140,plain,
    ( spl0_30
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s145,plain,
    ( spl0_51
    | spl0_141 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s146,plain,
    ( spl0_51
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s147,plain,
    ( ~ spl0_49
    | spl0_143 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s148,plain,
    ( ~ spl0_49
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s149,plain,
    ( ~ spl0_49
    | spl0_145 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s150,plain,
    ( spl0_28
    | spl0_146 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s151,plain,
    ( spl0_28
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s152,plain,
    ( spl0_28
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s153,plain,
    ( ~ spl0_40
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s154,plain,
    ( ~ spl0_40
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s155,plain,
    ( ~ spl0_40
    | spl0_151 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s156,plain,
    ( spl0_53
    | spl0_152 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s157,plain,
    ( spl0_53
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s158,plain,
    ( spl0_53
    | spl0_154 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s159,plain,
    ( ~ spl0_30
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s160,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s163,plain,
    ( ~ spl0_28
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s164,plain,
    ( ~ spl0_38
    | ~ spl0_44
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s174,plain,
    ( ~ spl0_3
    | spl0_31 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s176,plain,
    ( ~ spl0_3
    | spl0_60 ),
    inference(sat_conversion,[],[f1144]) ).

cnf(s194,plain,
    ( ~ spl0_3
    | spl0_28 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s198,plain,
    ( ~ spl0_4
    | ~ spl0_143
    | ~ spl0_145
    | spl0_156 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s222,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | spl0_33 ),
    inference(sat_conversion,[],[f1328]) ).

cnf(s223,plain,
    ( ~ spl0_10
    | spl0_68
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s225,plain,
    ( ~ spl0_8
    | ~ spl0_98
    | spl0_132
    | spl0_168 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s228,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f1366]) ).

cnf(s235,plain,
    ( ~ spl0_11
    | spl0_83
    | spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f1392]) ).

cnf(s245,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1402]) ).

cnf(s262,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s265,plain,
    ( ~ spl0_15
    | spl0_77
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1490]) ).

cnf(s266,plain,
    ( ~ spl0_1
    | spl0_107
    | ~ spl0_141
    | spl0_142 ),
    inference(sat_conversion,[],[f1532]) ).

cnf(s267,plain,
    ( ~ spl0_1
    | ~ spl0_146
    | spl0_147
    | spl0_167 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s269,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s295,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_15 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s296,plain,
    ( ~ spl0_9
    | ~ spl0_100
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s308,plain,
    ( ~ spl0_11
    | spl0_147
    | spl0_148
    | spl0_167 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s309,plain,
    ( ~ spl0_4
    | ~ spl0_146
    | spl0_148
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s312,plain,
    ( ~ spl0_14
    | ~ spl0_98
    | spl0_132
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s315,plain,
    ( ~ spl0_5
    | spl0_99
    | spl0_132
    | spl0_168 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s316,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s323,plain,
    ( ~ spl0_16
    | ~ spl0_81
    | ~ spl0_122
    | spl0_162 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s328,plain,
    ( ~ spl0_17
    | spl0_99
    | spl0_132
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s343,plain,
    ( ~ spl0_20
    | spl0_144
    | ~ spl0_145
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s344,plain,
    ( ~ spl0_19
    | spl0_107
    | ~ spl0_141
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s346,plain,
    ( ~ spl0_19
    | ~ spl0_88
    | ~ spl0_127
    | spl0_163 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s347,plain,
    ( ~ spl0_19
    | ~ spl0_82
    | ~ spl0_122
    | spl0_162 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s349,plain,
    ( ~ spl0_19
    | ~ spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s355,plain,
    ( ~ spl0_9
    | ~ spl0_81
    | ~ spl0_122
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s356,plain,
    ( ~ spl0_7
    | ~ spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1819]) ).

cnf(s362,plain,
    ( ~ spl0_8
    | spl0_75
    | ~ spl0_76
    | spl0_119 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s365,plain,
    ( ~ spl0_12
    | ~ spl0_92
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s366,plain,
    ( ~ spl0_12
    | ~ spl0_76
    | spl0_119
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s391,plain,
    ( ~ spl0_22
    | spl0_78
    | spl0_80
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s426,plain,
    ( ~ spl0_33
    | ~ spl0_69
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2219]) ).

cnf(s429,plain,
    ( ~ spl0_33
    | ~ spl0_82
    | ~ spl0_122
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2222]) ).

cnf(s431,plain,
    ( ~ spl0_33
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s454,plain,
    ( ~ spl0_36
    | ~ spl0_141
    | spl0_142
    | spl0_166 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s472,plain,
    ( ~ spl0_16
    | ~ spl0_63
    | spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2324]) ).

cnf(s474,plain,
    ( ~ spl0_8
    | spl0_78
    | ~ spl0_79
    | spl0_157 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s481,plain,
    ( ~ spl0_4
    | ~ spl0_133
    | ~ spl0_134
    | spl0_155 ),
    inference(sat_conversion,[],[f2333]) ).

cnf(s485,plain,
    ( ~ spl0_4
    | spl0_150
    | ~ spl0_151
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s487,plain,
    ( ~ spl0_7
    | ~ spl0_127
    | spl0_128
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2339]) ).

cnf(s489,plain,
    ( ~ spl0_17
    | ~ spl0_146
    | spl0_148
    | spl0_167 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s492,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_19 ),
    inference(sat_conversion,[],[f2344]) ).

cnf(s493,plain,
    ( ~ spl0_6
    | spl0_19
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f2345]) ).

cnf(s494,plain,
    ( ~ spl0_6
    | ~ spl0_88
    | ~ spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s495,plain,
    ( ~ spl0_5
    | spl0_84
    | spl0_85
    | spl0_125 ),
    inference(sat_conversion,[],[f2347]) ).

cnf(s498,plain,
    ( ~ spl0_5
    | spl0_75
    | spl0_119
    | spl0_161 ),
    inference(sat_conversion,[],[f2350]) ).

cnf(s499,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_101
    | spl0_136 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s500,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_99
    | spl0_132 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s507,plain,
    ( ~ spl0_13
    | spl0_73
    | spl0_116
    | spl0_171 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s514,plain,
    ( ~ spl0_6
    | ~ spl0_143
    | spl0_144
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2364]) ).

cnf(s520,plain,
    ( ~ spl0_36
    | ~ spl0_146
    | spl0_147
    | spl0_148 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s525,plain,
    ( ~ spl0_2
    | spl0_149
    | spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2395]) ).

cnf(s526,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_15 ),
    inference(sat_conversion,[],[f2396]) ).

cnf(s529,plain,
    ( ~ spl0_18
    | spl0_149
    | spl0_150
    | spl0_175 ),
    inference(sat_conversion,[],[f2507]) ).

cnf(s531,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | spl0_120 ),
    inference(sat_conversion,[],[f2525]) ).

cnf(s533,plain,
    ( ~ spl0_21
    | spl0_78
    | ~ spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f2527]) ).

cnf(s537,plain,
    ( ~ spl0_14
    | ~ spl0_74
    | ~ spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f2531]) ).

cnf(s543,plain,
    ( ~ spl0_1
    | spl0_73
    | spl0_116
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2537]) ).

cnf(s544,plain,
    ( spl0_38
    | ~ spl0_15 ),
    inference(rat,[],[s265,s81,s124,s125]) ).

cnf(s545,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s269,s154,s155,s47,s544]) ).

cnf(s546,plain,
    ( spl0_37
    | ~ spl0_14 ),
    inference(rat,[],[s537,s78,s121,s122]) ).

cnf(s547,plain,
    ( spl0_36
    | ~ spl0_37
    | spl0_13
    | ~ spl0_7
    | spl0_3 ),
    inference(rat,[],[s346,s487,s92,s131,s132,s22,s21]) ).

cnf(s548,plain,
    ( spl0_28
    | ~ spl0_36 ),
    inference(rat,[],[s520,s150,s151,s152]) ).

cnf(s549,plain,
    ( spl0_45
    | ~ spl0_16
    | ~ spl0_9 ),
    inference(rat,[],[s355,s323,s85,s126]) ).

cnf(s551,plain,
    ( spl0_48
    | ~ spl0_9 ),
    inference(rat,[],[s296,s104,s137,s138]) ).

cnf(s552,plain,
    ( ~ spl0_49
    | ~ spl0_7 ),
    inference(rat,[],[s356,s147,s148,s149]) ).

cnf(s553,plain,
    ( spl0_8
    | spl0_49
    | spl0_5
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s549,s7,s35,s308,s309,s548,s150,s151,s152,s163,s551,s3,s223,s72,s115,s116,s28]) ).

cnf(s554,plain,
    ( spl0_31
    | ~ spl0_8 ),
    inference(rat,[],[s362,s79,s80,s123]) ).

cnf(s555,plain,
    ( ~ spl0_7
    | spl0_5
    | spl0_15
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s391,s474,s82,s83,s84,s160,s554,s64,s548,s547,s546,s5,s262,s553,s552]) ).

cnf(s556,plain,
    ( ~ spl0_49
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s198,s514,s147,s148,s149]) ).

cnf(s557,plain,
    ( ~ spl0_28
    | ~ spl0_8
    | spl0_49
    | spl0_3 ),
    inference(rat,[],[s391,s474,s82,s83,s84,s160,s64,s554]) ).

cnf(s558,plain,
    ( spl0_5
    | spl0_3
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s494,s92,s131,s132,s21,s548,s557,s262,s553,s556,s2,s555]) ).

cnf(s559,plain,
    ( ~ spl0_28
    | spl0_49
    | spl0_8
    | spl0_15
    | spl0_3 ),
    inference(rat,[],[s295,s3,s15,s551,s163]) ).

cnf(s560,plain,
    ( spl0_31
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(rat,[],[s498,s366,s79,s80,s123]) ).

cnf(s561,plain,
    ( spl0_28
    | spl0_8
    | spl0_15
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s35,s549,s551,s7,s3,s295,s4,s308,s309,s548,s150,s151,s152]) ).

cnf(s563,plain,
    ( ~ spl0_12
    | spl0_8
    | ~ spl0_5
    | spl0_3 ),
    inference(rat,[],[s365,s96,s133,s134,s52,s560]) ).

cnf(s564,plain,
    ( spl0_51
    | ~ spl0_36
    | ~ spl0_19 ),
    inference(rat,[],[s344,s454,s111,s145,s146]) ).

cnf(s565,plain,
    ( spl0_45
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(rat,[],[s347,s355,s85,s86,s126]) ).

cnf(s566,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s564,s35,s38,s565,s551,s8,s15,s563,s343,s198,s552,s147,s148,s149,s559,s561,s558]) ).

cnf(s568,plain,
    ( spl0_30
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(rat,[],[s499,s105,s140]) ).

cnf(s569,plain,
    ( ~ spl0_16
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(rat,[],[s472,s67,s68,s114,s159,s549]) ).

cnf(s570,plain,
    ( ~ spl0_29
    | ~ spl0_11 ),
    inference(rat,[],[s235,s87,s127,s128]) ).

cnf(s571,plain,
    ( spl0_38
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(rat,[],[s531,s81,s124]) ).

cnf(s572,plain,
    ( ~ spl0_18
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s529,s485,s153,s154,s155,s47,s571,s566,s545]) ).

cnf(s574,plain,
    ( spl0_53
    | ~ spl0_4 ),
    inference(rat,[],[s316,s156,s157,s158]) ).

cnf(s575,plain,
    ( ~ spl0_49
    | ~ spl0_31
    | ~ spl0_5
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s500,s103,s136,s39,s18,s556,s552,s574]) ).

cnf(s577,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_36
    | spl0_3 ),
    inference(rat,[],[s35,s549,s551]) ).

cnf(s578,plain,
    ( spl0_32
    | ~ spl0_5 ),
    inference(rat,[],[s495,s88,s89,s129]) ).

cnf(s579,plain,
    ( spl0_45
    | ~ spl0_33
    | ~ spl0_16 ),
    inference(rat,[],[s429,s323,s85,s86,s126]) ).

cnf(s580,plain,
    ( ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s431,s481,s137,s138,s35,s579,s19,s578,s6,s308,s489,s309,s548,s150,s151,s152,s557,s575,s572,s554,s566,s558,s545]) ).

cnf(s581,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s580,s1]) ).

cnf(s582,plain,
    ~ spl0_3,
    inference(rat,[],[s160,s174,s176,s194]) ).

cnf(s583,plain,
    ( ~ spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s525,s153,s154,s155]) ).

cnf(s584,plain,
    spl0_1,
    inference(rat,[],[s14,s492,s548,s349,s577,s74,s75,s119,s7,s13,s3,s295,s4,s570,s16,s526,s544,s47,s583,s580,s581,s582]) ).

cnf(s585,plain,
    ( spl0_28
    | ~ spl0_4 ),
    inference(rat,[],[s267,s309,s150,s151,s152,s584]) ).

cnf(s586,plain,
    ( ~ spl0_8
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s575,s557,s554,s585,s582]) ).

cnf(s587,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s472,s67,s68,s114,s24,s544,s50,s563,s566,s586,s578,s582]) ).

cnf(s588,plain,
    ( ~ spl0_49
    | ~ spl0_4 ),
    inference(rat,[],[s2,s556,s552,s587,s582]) ).

cnf(s589,plain,
    ~ spl0_4,
    inference(rat,[],[s557,s553,s588,s587,s585,s582]) ).

cnf(s590,plain,
    ( ~ spl0_28
    | spl0_15
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s500,s103,s136,s45,s571,s12,s9,s533,s82,s83,s84,s493,s222,s160,s14,s426,s73,s117,s118,s60,s349,s74,s75,s119,s13,s228,s554,s582,s589]) ).

cnf(s591,plain,
    ( spl0_15
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s507,s543,s77,s120,s25,s5,s546,s22,s548,s590,s349,s74,s75,s119,s13,s228,s584,s582,s589]) ).

cnf(s592,plain,
    ( ~ spl0_52
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(rat,[],[s500,s103,s136]) ).

cnf(s593,plain,
    ( spl0_46
    | ~ spl0_33 ),
    inference(rat,[],[s426,s73,s117,s118]) ).

cnf(s595,plain,
    ( spl0_19
    | spl0_14
    | spl0_16
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(rat,[],[s29,s507,s570,s543,s19,s77,s120,s593,s25,s60,s582,s584]) ).

cnf(s596,plain,
    ( spl0_27
    | ~ spl0_19 ),
    inference(rat,[],[s349,s74,s75,s119]) ).

cnf(s597,plain,
    ( spl0_44
    | ~ spl0_10 ),
    inference(rat,[],[s223,s72,s115,s116]) ).

cnf(s598,plain,
    spl0_51,
    inference(rat,[],[s266,s111,s145,s146,s584]) ).

cnf(s599,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s312,s315,s102,s103,s136,s45,s595,s222,s492,s578,s593,s60,s596,s13,s597,s164,s544,s591,s554,s582,s589,s598]) ).

cnf(s600,plain,
    ( ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s595,s569,s546,s45,s22,s592,s568,s548,s18,s14,s599,s596,s13,s597,s164,s544,s591,s554,s578,s582,s589,s598]) ).

cnf(s601,plain,
    ~ spl0_5,
    inference(rat,[],[s4,s570,s563,s16,s600,s582,s589]) ).

cnf(s602,plain,
    ( spl0_15
    | ~ spl0_8 ),
    inference(rat,[],[s548,s14,s22,s492,s596,s546,s7,s13,s5,s228,s245,s262,s582,s589,s601]) ).

cnf(s603,plain,
    ~ spl0_8,
    inference(rat,[],[s225,s328,s102,s103,s136,s45,s577,s548,s18,s14,s492,s596,s7,s13,s597,s164,s544,s602,s554,s245,s582,s589,s598,s601]) ).

cnf(s604,plain,
    spl0_29,
    inference(rat,[],[s16,s589,s582,s603]) ).

cnf(s605,plain,
    ~ spl0_44,
    inference(rat,[],[s28,s601,s582,s603]) ).

cnf(s609,plain,
    ~ spl0_11,
    inference(rat,[],[s570,s604]) ).

cnf(s613,plain,
    ~ spl0_10,
    inference(rat,[],[s597,s605]) ).

cnf(s615,plain,
    spl0_9,
    inference(rat,[],[s3,s603,s582,s613]) ).

cnf(s616,plain,
    ~ spl0_27,
    inference(rat,[],[s13,s589,s582,s613]) ).

cnf(s617,plain,
    spl0_16,
    inference(rat,[],[s7,s609,s582,s613]) ).

cnf(s621,plain,
    spl0_36,
    inference(rat,[],[s577,s582,s617,s615]) ).

cnf(s625,plain,
    ~ spl0_19,
    inference(rat,[],[s596,s616]) ).

cnf(s626,plain,
    ~ spl0_6,
    inference(rat,[],[s492,s625,s617]) ).

cnf(s631,plain,
    spl0_28,
    inference(rat,[],[s548,s621]) ).

cnf(s634,plain,
    $false,
    inference(rat,[],[s14,s589,s582,s631,s626]) ).

fof(f2538,plain,
    $false,
    inference(avatar_sat_refutation,[],[s634]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN473-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21  % Computer : n003.cluster.edu
% 0.11/0.21  % Model    : x86_64 x86_64
% 0.11/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21  % Memory   : 8046.5625MB
% 0.11/0.21  % OS       : Linux 6.8.0-71-generic
% 0.11/0.21  % CPULimit : 300
% 0.11/0.21  % WCLimit  : 300
% 0.11/0.21  % DateTime : Mon Sep 28 16:13:13 UTC 2026
% 0.11/0.21  % CPUTime  : 
% 0.11/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24  Running first-order model finding
% 0.11/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.33  % (1727160)Will run a generic schedule for satisfiability detection.
% 0.21/0.33  % (1727167)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3636788135:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.33  % (1727166)% WARNING: option uhcvi not known.
% 0.21/0.33  % (1727165)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2438764347_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.33  % (1727168)dis+10_1_sil=32000:sp=arity:random_seed=3116877637:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.33  % (1727166)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3340930136:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.33  % (1727169)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1576302170:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.33  % (1727170)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2644384280:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.33  % (1727171)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2193356511:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.33  % Detected minimum model sizes of [1]
% 0.21/0.33  % Detected maximum model sizes of [31]
% 0.21/0.33  % TRYING [1]
% 0.21/0.33  % TRYING [2]
% 0.21/0.33  % TRYING [3]
% 0.21/0.33  % TRYING [4]
% 0.21/0.33  % (1727171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1727160-1727171"...
% 0.21/0.33  % (1727171)...printing done.
% 0.21/0.33  % (1727171)Refutation found. Thanks to Tanya!
% 0.21/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.33  % (1727171)------------------------------
% 0.21/0.33  % (1727171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33  % (1727171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33  % (1727171)CaDiCaL version: 2.1.3
% 0.21/0.33  % (1727171)Termination reason: Refutation
% 0.21/0.33  % (1727171)Time elapsed: 0.031 s
% 0.21/0.33  % (1727171)Peak memory usage: 13 MB
% 0.21/0.33  % (1727171)Instructions burned: 49 (million)
% 0.21/0.33  % (1727160)Success in time 0.075 s
% 0.21/0.33  % Vampire exiting
%------------------------------------------------------------------------------