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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN461-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:09:35 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.17s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  239
% Syntax   : Number of formulae    :  893 (  25 unt; 133 def)
%            Number of atoms       : 2844 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3345 (1394   ~;1818   |;   0   &)
%                                         ( 133 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  162 ( 161 usr; 158 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  186 (   0 sgn 186   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp28
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f22,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f31,negated_conjecture,
    ( hskp26
    | hskp17
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp17
    | hskp1
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp8
    | hskp21
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1236) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1236) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1236) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f43,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1190) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp26
    | c1_1(a1190) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1190) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp25
    | c3_1(a1182) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1232) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp22
    | c0_1(a1211) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp22
    | c3_1(a1211) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f53,negated_conjecture,
    ( ~ hskp21
    | c3_1(a1207) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f56,negated_conjecture,
    ( ~ hskp19
    | c3_1(a1204) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f59,negated_conjecture,
    ( ~ hskp17
    | c0_1(a1200) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp16
    | c2_1(a1199) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f62,negated_conjecture,
    ( ~ hskp14
    | c2_1(a1194) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp13
    | c1_1(a1192) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp11
    | c0_1(a1186) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f67,negated_conjecture,
    ( ~ hskp8
    | c1_1(a1180) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp6
    | c1_1(a1178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp5
    | c0_1(a1176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1175) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp4
    | c2_1(a1175) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp3
    | c0_1(a1174) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1174) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp2
    | c2_1(a1172) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1172) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp1
    | c1_1(a1169) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1168) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1168) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ c0_1(a1232)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c1_1(a1232)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c0_1(a1218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c1_1(a1218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ c3_1(a1218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ c1_1(a1211)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c1_1(a1207)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f89,negated_conjecture,
    ( ~ c1_1(a1204)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c2_1(a1204)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f92,negated_conjecture,
    ( ~ c1_1(a1200)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a1200)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a1199)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a1199)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f98,negated_conjecture,
    ( ~ c0_1(a1194)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a1194)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a1192)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a1192)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a1187)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c2_1(a1187)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a1187)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a1186)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c3_1(a1186)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c0_1(a1184)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a1184)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a1184)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a1180)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c3_1(a1180)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a1178)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a1176)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a1175)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a1174)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a1172)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a1169)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a1169)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a1168)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp0
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp3
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f127,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp22
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp22
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp5
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp13
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp22
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp22
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp13
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c1_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

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

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

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

fof(f177,plain,
    ( hskp28
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f178,plain,
    ( ~ hskp28
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f198,plain,
    ( hskp8
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f207,plain,
    ( hskp26
    | ~ hskp17
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f208,plain,
    ( ~ hskp0
    | ~ hskp1
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f209,plain,
    ( ~ hskp17
    | hskp13
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f210,plain,
    ( ~ hskp17
    | ~ hskp1
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f212,plain,
    ( ~ hskp8
    | hskp21
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f213,plain,
    ( ~ hskp28
    | ~ c2_1(a1236) ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f214,plain,
    ( ~ hskp28
    | ~ c3_1(a1236) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f217,plain,
    ( ~ hskp26
    | ~ c1_1(a1190) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f218,plain,
    ( ~ hskp26
    | ~ c3_1(a1190) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f219,plain,
    ( hskp25
    | ~ c1_1(a1182) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f220,plain,
    ( hskp25
    | ~ c2_1(a1182) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f221,plain,
    ( hskp25
    | ~ c3_1(a1182) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f222,plain,
    ( ~ hskp24
    | ~ c3_1(a1232) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f223,plain,
    ( ~ hskp22
    | ~ c3_1(a1211) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f225,plain,
    ( ~ hskp21
    | ~ c3_1(a1207) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f228,plain,
    ( hskp19
    | ~ c3_1(a1204) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f231,plain,
    ( hskp17
    | c0_1(a1200) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f232,plain,
    ( ~ hskp16
    | ~ c2_1(a1199) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f234,plain,
    ( hskp14
    | ~ c2_1(a1194) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f235,plain,
    ( ~ hskp13
    | ~ c1_1(a1192) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f236,plain,
    ( hskp11
    | c0_1(a1186) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f238,plain,
    ( hskp8
    | ~ c1_1(a1180) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f239,plain,
    ( hskp6
    | ~ c1_1(a1178) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f240,plain,
    ( hskp6
    | ~ c2_1(a1178) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f241,plain,
    ( ~ hskp5
    | ~ c2_1(a1176) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f242,plain,
    ( ~ hskp4
    | ~ c1_1(a1175) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f243,plain,
    ( ~ hskp4
    | ~ c2_1(a1175) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f244,plain,
    ( hskp3
    | c0_1(a1174) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f245,plain,
    ( hskp3
    | ~ c1_1(a1174) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f246,plain,
    ( hskp2
    | ~ c2_1(a1172) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f247,plain,
    ( hskp2
    | ~ c3_1(a1172) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f248,plain,
    ( hskp1
    | ~ c1_1(a1169) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f249,plain,
    ( hskp0
    | c0_1(a1168) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f250,plain,
    ( hskp0
    | ~ c1_1(a1168) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f251,plain,
    ( c1_1(a1232)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f252,plain,
    ( ~ c0_1(a1218)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f253,plain,
    ( c1_1(a1218)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f254,plain,
    ( c3_1(a1218)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f255,plain,
    ( c1_1(a1211)
    | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f256,plain,
    ( c1_1(a1207)
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f258,plain,
    ( c1_1(a1204)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f259,plain,
    ( c2_1(a1204)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f261,plain,
    ( c1_1(a1200)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f262,plain,
    ( c2_1(a1200)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f263,plain,
    ( c3_1(a1199)
    | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f266,plain,
    ( ~ c0_1(a1194)
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f267,plain,
    ( c1_1(a1194)
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f268,plain,
    ( c2_1(a1192)
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f269,plain,
    ( c2_1(a1187)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f270,plain,
    ( c3_1(a1187)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f271,plain,
    ( c2_1(a1186)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f272,plain,
    ( c3_1(a1186)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f273,plain,
    ( c1_1(a1184)
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f274,plain,
    ( c2_1(a1184)
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f276,plain,
    ( ~ c0_1(a1180)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f277,plain,
    ( c3_1(a1180)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f281,plain,
    ( c3_1(a1178)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f282,plain,
    ( c3_1(a1176)
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f283,plain,
    ( c3_1(a1174)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f284,plain,
    ( ~ c0_1(a1172)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f285,plain,
    ( c2_1(a1169)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f286,plain,
    ( c3_1(a1169)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f287,plain,
    ( c2_1(a1168)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f288,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ hskp0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f289,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp3
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp22
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp22
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f297,plain,
    ! [X0] :
      ( c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp19
      | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f298,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | hskp5
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X0)
      | hskp13
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c3_1(X0)
      | hskp22
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f306,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | hskp22
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | hskp13
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ndr1_0
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f332,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f333,plain,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f334,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c3_1(X1)
      | c2_1(X2)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f335,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X1)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f342,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f345,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f348,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f352,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f354,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f340,f352,f348,f345,f342]) ).

fof(f356,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,definition,
    ( spl0_6
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f362,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f364,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f339,f362,f348,f359,f356]) ).

fof(f366,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f369,definition,
    ( spl0_9
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f370,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f371,plain,
    ( spl0_8
    | spl0_2
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f338,f369,f348,f345,f366]) ).

fof(f373,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f376,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( spl0_10
    | spl0_5
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f337,f376,f348,f356,f373]) ).

fof(f380,definition,
    ( spl0_12
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f383,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f387,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f390,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_14
    | spl0_15
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f335,f356,f348,f390,f387]) ).

fof(f394,definition,
    ( spl0_16
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,definition,
    ( spl0_17
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f399,plain,
    ( spl0_16
    | spl0_17
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f334,f369,f348,f397,f394]) ).

fof(f401,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f404,definition,
    ( spl0_19
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_18
    | spl0_12
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f333,f404,f348,f380,f401]) ).

fof(f408,definition,
    ( spl0_20
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f411,definition,
    ( spl0_21
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f413,plain,
    ( spl0_20
    | spl0_21
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f332,f369,f348,f411,f408]) ).

fof(f415,definition,
    ( spl0_22
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f419,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f421,plain,
    ( ~ spl0_22
    | spl0_11
    | spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f331,f419,f348,f376,f415]) ).

fof(f423,definition,
    ( spl0_24
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f427,definition,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f431,definition,
    ( spl0_26
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f436,definition,
    ( spl0_27
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f439,plain,
    ( spl0_27
    | spl0_8
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f328,f390,f348,f366,f436]) ).

fof(f441,definition,
    ( spl0_28
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f444,plain,
    ( ~ spl0_28
    | spl0_15
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f327,f383,f348,f390,f441]) ).

fof(f446,definition,
    ( spl0_29
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f449,plain,
    ( spl0_10
    | spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f325,f427,f348,f373]) ).

fof(f451,definition,
    ( spl0_30
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f455,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( ~ spl0_30
    | spl0_31
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f324,f352,f348,f455,f451]) ).

fof(f458,plain,
    ( ~ spl0_26
    | spl0_8
    | spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f323,f446,f348,f366,f431]) ).

fof(f460,definition,
    ( spl0_32
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f463,definition,
    ( spl0_33
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( ~ spl0_30
    | spl0_32
    | spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f322,f463,f348,f460,f451]) ).

fof(f467,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f472,definition,
    ( spl0_35
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_39
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ spl0_39
    | spl0_31
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f317,f376,f348,f455,f489]) ).

fof(f499,definition,
    ( spl0_41
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f502,plain,
    ( spl0_41
    | spl0_16
    | spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f315,f397,f348,f394,f499]) ).

fof(f504,definition,
    ( spl0_42
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f513,definition,
    ( spl0_44
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f521,definition,
    ( spl0_46
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f524,plain,
    ( spl0_46
    | spl0_31
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f311,f348,f394,f455,f521]) ).

fof(f526,definition,
    ( spl0_47
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f533,plain,
    ( ~ spl0_42
    | spl0_18
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f309,f394,f348,f401,f504]) ).

fof(f535,plain,
    ( spl0_34
    | spl0_24
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f307,f352,f348,f423,f467]) ).

fof(f537,definition,
    ( spl0_49
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ spl0_47
    | spl0_49
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f306,f352,f348,f537,f526]) ).

fof(f547,definition,
    ( spl0_51
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ spl0_51
    | spl0_49
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f304,f345,f348,f537,f547]) ).

fof(f553,definition,
    ( spl0_52
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f563,definition,
    ( spl0_54
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f566,plain,
    ( ~ spl0_54
    | spl0_24
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f300,f356,f348,f423,f563]) ).

fof(f576,plain,
    ( spl0_41
    | spl0_46
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f298,f366,f348,f521,f499]) ).

fof(f578,definition,
    ( spl0_57
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ spl0_57
    | ~ spl0_54
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f297,f359,f348,f563,f578]) ).

fof(f587,plain,
    ( ~ spl0_51
    | spl0_49
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f295,f383,f348,f537,f547]) ).

fof(f588,plain,
    ( ~ spl0_28
    | spl0_49
    | spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f294,f383,f348,f537,f441]) ).

fof(f590,definition,
    ( spl0_59
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_42
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f291,f373,f348,f504]) ).

fof(f597,plain,
    ( ~ spl0_39
    | ~ spl0_30
    | spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f289,f348,f387,f451,f489]) ).

fof(f598,plain,
    ( ~ spl0_30
    | ~ spl0_42
    | spl0_18
    | spl0_3 ),
    inference(avatar_split_clause,[],[f288,f348,f401,f504,f451]) ).

fof(f600,definition,
    ( spl0_60
  <=> c2_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f603,plain,
    ( spl0_42
    | spl0_60 ),
    inference(avatar_split_clause,[],[f287,f600,f504]) ).

fof(f605,definition,
    ( spl0_61
  <=> c3_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f607,plain,
    ( c3_1(a1169)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f608,plain,
    ( spl0_35
    | spl0_61 ),
    inference(avatar_split_clause,[],[f286,f605,f472]) ).

fof(f610,definition,
    ( spl0_62
  <=> c2_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f613,plain,
    ( spl0_35
    | spl0_62 ),
    inference(avatar_split_clause,[],[f285,f610,f472]) ).

fof(f615,definition,
    ( spl0_63
  <=> c0_1(a1172) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f618,plain,
    ( spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f284,f615,f526]) ).

fof(f620,definition,
    ( spl0_64
  <=> c3_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f622,plain,
    ( c3_1(a1174)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( spl0_30
    | spl0_64 ),
    inference(avatar_split_clause,[],[f283,f620,f451]) ).

fof(f625,definition,
    ( spl0_65
  <=> c0_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f118,f625,f499]) ).

fof(f630,definition,
    ( spl0_66
  <=> c3_1(a1176) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f632,plain,
    ( c3_1(a1176)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( ~ spl0_46
    | spl0_66 ),
    inference(avatar_split_clause,[],[f282,f630,f521]) ).

fof(f635,definition,
    ( spl0_67
  <=> c3_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f638,plain,
    ( spl0_39
    | spl0_67 ),
    inference(avatar_split_clause,[],[f281,f635,f489]) ).

fof(f655,definition,
    ( spl0_71
  <=> c3_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f657,plain,
    ( c3_1(a1180)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( spl0_37
    | spl0_71 ),
    inference(avatar_split_clause,[],[f277,f655,f480]) ).

fof(f660,definition,
    ( spl0_72
  <=> c0_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f663,plain,
    ( spl0_37
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f276,f660,f480]) ).

fof(f670,definition,
    ( spl0_74
  <=> c2_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f673,plain,
    ( ~ spl0_34
    | spl0_74 ),
    inference(avatar_split_clause,[],[f274,f670,f467]) ).

fof(f675,definition,
    ( spl0_75
  <=> c1_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f677,plain,
    ( c1_1(a1184)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( ~ spl0_34
    | spl0_75 ),
    inference(avatar_split_clause,[],[f273,f675,f467]) ).

fof(f680,definition,
    ( spl0_76
  <=> c0_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f107,f680,f467]) ).

fof(f685,definition,
    ( spl0_77
  <=> c3_1(a1186) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f687,plain,
    ( c3_1(a1186)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f688,plain,
    ( spl0_26
    | spl0_77 ),
    inference(avatar_split_clause,[],[f272,f685,f431]) ).

fof(f690,definition,
    ( spl0_78
  <=> c2_1(a1186) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f693,plain,
    ( spl0_26
    | spl0_78 ),
    inference(avatar_split_clause,[],[f271,f690,f431]) ).

fof(f695,definition,
    ( spl0_79
  <=> c3_1(a1187) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f697,plain,
    ( c3_1(a1187)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f698,plain,
    ( ~ spl0_27
    | spl0_79 ),
    inference(avatar_split_clause,[],[f270,f695,f436]) ).

fof(f700,definition,
    ( spl0_80
  <=> c2_1(a1187) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ spl0_27
    | spl0_80 ),
    inference(avatar_split_clause,[],[f269,f700,f436]) ).

fof(f705,definition,
    ( spl0_81
  <=> c0_1(a1187) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f102,f705,f436]) ).

fof(f710,definition,
    ( spl0_82
  <=> c2_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f713,plain,
    ( ~ spl0_24
    | spl0_82 ),
    inference(avatar_split_clause,[],[f268,f710,f423]) ).

fof(f715,definition,
    ( spl0_83
  <=> c0_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ spl0_24
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f100,f715,f423]) ).

fof(f720,definition,
    ( spl0_84
  <=> c1_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f722,plain,
    ( c1_1(a1194)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( spl0_51
    | spl0_84 ),
    inference(avatar_split_clause,[],[f267,f720,f547]) ).

fof(f725,definition,
    ( spl0_85
  <=> c0_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f728,plain,
    ( spl0_51
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f266,f725,f547]) ).

fof(f740,definition,
    ( spl0_88
  <=> c3_1(a1199) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f742,plain,
    ( c3_1(a1199)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( ~ spl0_59
    | spl0_88 ),
    inference(avatar_split_clause,[],[f263,f740,f590]) ).

fof(f745,definition,
    ( spl0_89
  <=> c0_1(a1199) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f748,plain,
    ( ~ spl0_59
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f94,f745,f590]) ).

fof(f750,definition,
    ( spl0_90
  <=> c2_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f753,plain,
    ( spl0_28
    | spl0_90 ),
    inference(avatar_split_clause,[],[f262,f750,f441]) ).

fof(f755,definition,
    ( spl0_91
  <=> c1_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f757,plain,
    ( c1_1(a1200)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f758,plain,
    ( spl0_28
    | spl0_91 ),
    inference(avatar_split_clause,[],[f261,f755,f441]) ).

fof(f765,definition,
    ( spl0_93
  <=> c2_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f768,plain,
    ( spl0_54
    | spl0_93 ),
    inference(avatar_split_clause,[],[f259,f765,f563]) ).

fof(f770,definition,
    ( spl0_94
  <=> c1_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f772,plain,
    ( c1_1(a1204)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( spl0_54
    | spl0_94 ),
    inference(avatar_split_clause,[],[f258,f770,f563]) ).

fof(f780,definition,
    ( spl0_96
  <=> c1_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f782,plain,
    ( c1_1(a1207)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_52
    | spl0_96 ),
    inference(avatar_split_clause,[],[f256,f780,f553]) ).

fof(f785,definition,
    ( spl0_97
  <=> c1_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f787,plain,
    ( c1_1(a1211)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( ~ spl0_49
    | spl0_97 ),
    inference(avatar_split_clause,[],[f255,f785,f537]) ).

fof(f790,definition,
    ( spl0_98
  <=> c3_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f793,plain,
    ( spl0_57
    | spl0_98 ),
    inference(avatar_split_clause,[],[f254,f790,f578]) ).

fof(f795,definition,
    ( spl0_99
  <=> c1_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f797,plain,
    ( c1_1(a1218)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( spl0_57
    | spl0_99 ),
    inference(avatar_split_clause,[],[f253,f795,f578]) ).

fof(f800,definition,
    ( spl0_100
  <=> c0_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f803,plain,
    ( spl0_57
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f252,f800,f578]) ).

fof(f805,definition,
    ( spl0_101
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f809,definition,
    ( spl0_102
  <=> c1_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f811,plain,
    ( c1_1(a1232)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f812,plain,
    ( ~ spl0_101
    | spl0_102 ),
    inference(avatar_split_clause,[],[f251,f809,f805]) ).

fof(f814,definition,
    ( spl0_103
  <=> c0_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f817,plain,
    ( ~ spl0_101
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f81,f814,f805]) ).

fof(f819,definition,
    ( spl0_104
  <=> c1_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c1_1(a1168)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f822,plain,
    ( ~ spl0_104
    | spl0_42 ),
    inference(avatar_split_clause,[],[f250,f504,f819]) ).

fof(f824,definition,
    ( spl0_105
  <=> c0_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f827,plain,
    ( spl0_105
    | spl0_42 ),
    inference(avatar_split_clause,[],[f249,f504,f824]) ).

fof(f829,definition,
    ( spl0_106
  <=> c1_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ c1_1(a1169)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f832,plain,
    ( ~ spl0_106
    | spl0_35 ),
    inference(avatar_split_clause,[],[f248,f472,f829]) ).

fof(f834,definition,
    ( spl0_107
  <=> c3_1(a1172) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f836,plain,
    ( ~ c3_1(a1172)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( ~ spl0_107
    | spl0_47 ),
    inference(avatar_split_clause,[],[f247,f526,f834]) ).

fof(f839,definition,
    ( spl0_108
  <=> c2_1(a1172) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f842,plain,
    ( ~ spl0_108
    | spl0_47 ),
    inference(avatar_split_clause,[],[f246,f526,f839]) ).

fof(f844,definition,
    ( spl0_109
  <=> c1_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ c1_1(a1174)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( ~ spl0_109
    | spl0_30 ),
    inference(avatar_split_clause,[],[f245,f451,f844]) ).

fof(f849,definition,
    ( spl0_110
  <=> c0_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_110
    | spl0_30 ),
    inference(avatar_split_clause,[],[f244,f451,f849]) ).

fof(f854,definition,
    ( spl0_111
  <=> c2_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ spl0_111
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f243,f499,f854]) ).

fof(f859,definition,
    ( spl0_112
  <=> c1_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ c1_1(a1175)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( ~ spl0_112
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f242,f499,f859]) ).

fof(f864,definition,
    ( spl0_113
  <=> c2_1(a1176) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f867,plain,
    ( ~ spl0_113
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f241,f521,f864]) ).

fof(f869,definition,
    ( spl0_114
  <=> c0_1(a1176) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f872,plain,
    ( spl0_114
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f70,f521,f869]) ).

fof(f874,definition,
    ( spl0_115
  <=> c2_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ spl0_115
    | spl0_39 ),
    inference(avatar_split_clause,[],[f240,f489,f874]) ).

fof(f879,definition,
    ( spl0_116
  <=> c1_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ c1_1(a1178)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( ~ spl0_116
    | spl0_39 ),
    inference(avatar_split_clause,[],[f239,f489,f879]) ).

fof(f884,definition,
    ( spl0_117
  <=> c1_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f886,plain,
    ( ~ c1_1(a1180)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f887,plain,
    ( ~ spl0_117
    | spl0_37 ),
    inference(avatar_split_clause,[],[f238,f480,f884]) ).

fof(f899,definition,
    ( spl0_120
  <=> c0_1(a1186) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f902,plain,
    ( spl0_120
    | spl0_26 ),
    inference(avatar_split_clause,[],[f236,f431,f899]) ).

fof(f904,definition,
    ( spl0_121
  <=> c1_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ c1_1(a1192)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f907,plain,
    ( ~ spl0_121
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f235,f423,f904]) ).

fof(f909,definition,
    ( spl0_122
  <=> c2_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f912,plain,
    ( ~ spl0_122
    | spl0_51 ),
    inference(avatar_split_clause,[],[f234,f547,f909]) ).

fof(f919,definition,
    ( spl0_124
  <=> c2_1(a1199) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f922,plain,
    ( ~ spl0_124
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f232,f590,f919]) ).

fof(f924,definition,
    ( spl0_125
  <=> c0_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f927,plain,
    ( spl0_125
    | spl0_28 ),
    inference(avatar_split_clause,[],[f231,f441,f924]) ).

fof(f939,definition,
    ( spl0_128
  <=> c3_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ c3_1(a1204)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f942,plain,
    ( ~ spl0_128
    | spl0_54 ),
    inference(avatar_split_clause,[],[f228,f563,f939]) ).

fof(f954,definition,
    ( spl0_131
  <=> c3_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f957,plain,
    ( ~ spl0_131
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f225,f553,f954]) ).

fof(f964,definition,
    ( spl0_133
  <=> c3_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f967,plain,
    ( ~ spl0_133
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f223,f537,f964]) ).

fof(f969,definition,
    ( spl0_134
  <=> c0_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f972,plain,
    ( spl0_134
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f50,f537,f969]) ).

fof(f974,definition,
    ( spl0_135
  <=> c3_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ c3_1(a1232)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f977,plain,
    ( ~ spl0_135
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f222,f805,f974]) ).

fof(f979,definition,
    ( spl0_136
  <=> c3_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f981,plain,
    ( ~ c3_1(a1182)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f982,plain,
    ( ~ spl0_136
    | spl0_22 ),
    inference(avatar_split_clause,[],[f221,f415,f979]) ).

fof(f984,definition,
    ( spl0_137
  <=> c2_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ spl0_137
    | spl0_22 ),
    inference(avatar_split_clause,[],[f220,f415,f984]) ).

fof(f989,definition,
    ( spl0_138
  <=> c1_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ c1_1(a1182)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f992,plain,
    ( ~ spl0_138
    | spl0_22 ),
    inference(avatar_split_clause,[],[f219,f415,f989]) ).

fof(f994,definition,
    ( spl0_139
  <=> c3_1(a1190) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f997,plain,
    ( ~ spl0_139
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f218,f513,f994]) ).

fof(f999,definition,
    ( spl0_140
  <=> c1_1(a1190) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1001,plain,
    ( ~ c1_1(a1190)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1002,plain,
    ( ~ spl0_140
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f217,f513,f999]) ).

fof(f1004,definition,
    ( spl0_141
  <=> c0_1(a1190) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1007,plain,
    ( spl0_141
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f43,f513,f1004]) ).

fof(f1024,definition,
    ( spl0_145
  <=> c3_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1026,plain,
    ( ~ c3_1(a1236)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1028,definition,
    ( spl0_146
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1031,plain,
    ( ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f214,f1028,f1024]) ).

fof(f1033,definition,
    ( spl0_147
  <=> c2_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ spl0_147
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f213,f1028,f1033]) ).

fof(f1038,definition,
    ( spl0_148
  <=> c0_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1041,plain,
    ( spl0_148
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f37,f1028,f1038]) ).

fof(f1042,plain,
    ( ~ spl0_54
    | spl0_52
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f212,f480,f553,f563]) ).

fof(f1044,plain,
    ( spl0_59
    | ~ spl0_35
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f210,f441,f472,f590]) ).

fof(f1045,plain,
    ( ~ spl0_47
    | spl0_24
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f209,f441,f423,f526]) ).

fof(f1046,plain,
    ( ~ spl0_51
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f208,f504,f472,f547]) ).

fof(f1047,plain,
    ( spl0_101
    | ~ spl0_28
    | spl0_44 ),
    inference(avatar_split_clause,[],[f207,f513,f441,f805]) ).

fof(f1056,plain,
    ( ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f198,f480,f348]) ).

fof(f1076,plain,
    ( ~ spl0_3
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f178,f1028,f348]) ).

fof(f1077,plain,
    ( ~ spl0_37
    | spl0_146 ),
    inference(avatar_split_clause,[],[f177,f1028,f480]) ).

fof(f1086,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f353,f346]) ).

fof(f1087,plain,
    ( ~ c0_1(a1236)
    | c2_1(a1236)
    | ~ spl0_4
    | spl0_145 ),
    inference(resolution,[],[f353,f1026]) ).

fof(f1089,plain,
    ( ~ c0_1(a1182)
    | c2_1(a1182)
    | ~ spl0_4
    | spl0_136 ),
    inference(resolution,[],[f353,f981]) ).

fof(f1106,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f1086]) ).

fof(f1118,definition,
    ( spl0_152
  <=> c0_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1128,definition,
    ( spl0_154
  <=> c0_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1133,definition,
    ( spl0_155
  <=> c0_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1136,plain,
    ( spl0_137
    | ~ spl0_155
    | ~ spl0_4
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1089,f979,f352,f1133,f984]) ).

fof(f1171,plain,
    ( ~ c3_1(a1192)
    | ~ c2_1(a1192)
    | ~ spl0_6
    | spl0_121 ),
    inference(resolution,[],[f360,f906]) ).

fof(f1172,plain,
    ( ~ c3_1(a1180)
    | ~ c2_1(a1180)
    | ~ spl0_6
    | spl0_117 ),
    inference(resolution,[],[f360,f886]) ).

fof(f1176,plain,
    ( ~ c3_1(a1169)
    | ~ c2_1(a1169)
    | ~ spl0_6
    | spl0_106 ),
    inference(resolution,[],[f360,f831]) ).

fof(f1181,plain,
    ( ~ spl0_62
    | ~ spl0_61
    | ~ spl0_6
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1176,f829,f359,f605,f610]) ).

fof(f1183,definition,
    ( spl0_156
  <=> c2_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1186,plain,
    ( ~ spl0_156
    | ~ spl0_71
    | ~ spl0_6
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1172,f884,f359,f655,f1183]) ).

fof(f1215,definition,
    ( spl0_157
  <=> c3_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1217,plain,
    ( c3_1(a1184)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1221,definition,
    ( spl0_158
  <=> c3_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1223,plain,
    ( c3_1(a1168)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1221]) ).

fof(f1226,definition,
    ( spl0_159
  <=> c0_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1232,definition,
    ( spl0_160
  <=> c3_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1233,plain,
    ( ~ c3_1(a1175)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1237,definition,
    ( spl0_161
  <=> c3_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1239,plain,
    ( c3_1(a1192)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1237]) ).

fof(f1243,definition,
    ( spl0_162
  <=> c3_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1276,plain,
    ( c2_1(a1194)
    | c0_1(a1194)
    | ~ spl0_16
    | ~ spl0_84 ),
    inference(resolution,[],[f395,f722]) ).

fof(f1279,definition,
    ( spl0_164
  <=> c2_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1286,plain,
    ( c3_1(a1194)
    | c0_1(a1194)
    | ~ spl0_17
    | ~ spl0_84 ),
    inference(resolution,[],[f398,f722]) ).

fof(f1288,definition,
    ( spl0_165
  <=> c3_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1299,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(resolution,[],[f402,f360]) ).

fof(f1300,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1299]) ).

fof(f1301,plain,
    ( spl0_14
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1300,f401,f359,f387]) ).

fof(f1306,plain,
    ( ~ c2_1(a1232)
    | c0_1(a1232)
    | ~ spl0_20
    | ~ spl0_102 ),
    inference(resolution,[],[f409,f811]) ).

fof(f1321,plain,
    ( ~ c2_1(a1204)
    | c0_1(a1204)
    | ~ spl0_21
    | spl0_128 ),
    inference(resolution,[],[f412,f941]) ).

fof(f1348,definition,
    ( spl0_167
  <=> c2_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1358,definition,
    ( spl0_169
  <=> c2_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1364,definition,
    ( spl0_170
  <=> c2_1(a1190) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1366,plain,
    ( ~ c2_1(a1190)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1364]) ).

fof(f1383,plain,
    ( ~ c0_1(a1190)
    | ~ spl0_2
    | ~ spl0_4
    | spl0_170 ),
    inference(resolution,[],[f1366,f1106]) ).

fof(f1384,plain,
    ( ~ spl0_141
    | ~ spl0_2
    | ~ spl0_4
    | spl0_170 ),
    inference(avatar_split_clause,[],[f1383,f1364,f352,f345,f1004]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(resolution,[],[f370,f402]) ).

fof(f1386,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(resolution,[],[f370,f395]) ).

fof(f1402,plain,
    ( ~ c3_1(a1178)
    | c2_1(a1178)
    | ~ spl0_9
    | spl0_116 ),
    inference(resolution,[],[f370,f881]) ).

fof(f1410,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1386]) ).

fof(f1411,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1385]) ).

fof(f1412,plain,
    ( spl0_115
    | ~ spl0_67
    | ~ spl0_9
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1402,f879,f369,f635,f874]) ).

fof(f1414,plain,
    ( spl0_12
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1410,f394,f369,f380]) ).

fof(f1415,plain,
    ( spl0_12
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1411,f401,f369,f380]) ).

fof(f1447,plain,
    ( ~ c3_1(a1175)
    | c2_1(a1175)
    | ~ spl0_9
    | spl0_112 ),
    inference(resolution,[],[f370,f861]) ).

fof(f1448,plain,
    ( ~ c3_1(a1174)
    | c2_1(a1174)
    | ~ spl0_9
    | spl0_109 ),
    inference(resolution,[],[f370,f846]) ).

fof(f1463,plain,
    ( spl0_167
    | ~ spl0_64
    | ~ spl0_9
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1448,f844,f369,f620,f1348]) ).

fof(f1467,plain,
    ( ~ spl0_82
    | ~ spl0_161
    | ~ spl0_6
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1171,f904,f359,f1237,f710]) ).

fof(f1469,plain,
    ( spl0_152
    | ~ spl0_93
    | ~ spl0_21
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1321,f939,f411,f765,f1118]) ).

fof(f1483,plain,
    ( ~ c0_1(a1200)
    | c3_1(a1200)
    | ~ spl0_5
    | ~ spl0_91 ),
    inference(resolution,[],[f357,f757]) ).

fof(f1511,plain,
    ( ~ c2_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl0_11
    | spl0_104 ),
    inference(resolution,[],[f377,f821]) ).

fof(f1513,plain,
    ( ~ spl0_105
    | ~ spl0_60
    | ~ spl0_11
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1511,f819,f376,f600,f824]) ).

fof(f1521,plain,
    ( ~ c2_1(a1204)
    | ~ c0_1(a1204)
    | ~ spl0_10
    | ~ spl0_94 ),
    inference(resolution,[],[f374,f772]) ).

fof(f1522,plain,
    ( ~ c2_1(a1200)
    | ~ c0_1(a1200)
    | ~ spl0_10
    | ~ spl0_91 ),
    inference(resolution,[],[f374,f757]) ).

fof(f1526,plain,
    ( ~ spl0_152
    | ~ spl0_93
    | ~ spl0_10
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1521,f770,f373,f765,f1118]) ).

fof(f1543,plain,
    ( c0_1(a1182)
    | c2_1(a1182)
    | ~ spl0_19
    | spl0_136 ),
    inference(resolution,[],[f405,f981]) ).

fof(f1544,plain,
    ( c0_1(a1232)
    | c2_1(a1232)
    | ~ spl0_19
    | spl0_135 ),
    inference(resolution,[],[f405,f976]) ).

fof(f1555,plain,
    ( c0_1(a1175)
    | c2_1(a1175)
    | ~ spl0_19
    | spl0_160 ),
    inference(resolution,[],[f405,f1233]) ).

fof(f1557,plain,
    ( c0_1(a1172)
    | c2_1(a1172)
    | ~ spl0_19
    | spl0_107 ),
    inference(resolution,[],[f405,f836]) ).

fof(f1566,plain,
    ( spl0_111
    | spl0_65
    | ~ spl0_19
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1555,f1232,f404,f625,f854]) ).

fof(f1576,plain,
    ( spl0_164
    | spl0_103
    | ~ spl0_19
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1544,f974,f404,f814,f1279]) ).

fof(f1577,plain,
    ( spl0_137
    | spl0_155
    | ~ spl0_19
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1543,f979,f404,f1133,f984]) ).

fof(f1580,plain,
    ( ~ c0_1(a1211)
    | c2_1(a1211)
    | ~ spl0_15
    | ~ spl0_97 ),
    inference(resolution,[],[f787,f391]) ).

fof(f1581,plain,
    ( ~ c0_1(a1211)
    | c3_1(a1211)
    | ~ spl0_5
    | ~ spl0_97 ),
    inference(resolution,[],[f787,f357]) ).

fof(f1586,plain,
    ( spl0_85
    | spl0_122
    | ~ spl0_16
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1276,f720,f394,f909,f725]) ).

fof(f1612,plain,
    ( spl0_147
    | ~ spl0_148
    | ~ spl0_4
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1087,f1024,f352,f1038,f1033]) ).

fof(f1686,plain,
    ( c2_1(a1174)
    | ~ c0_1(a1174)
    | ~ spl0_7
    | spl0_109 ),
    inference(resolution,[],[f363,f846]) ).

fof(f1715,plain,
    ( ~ c0_1(a1169)
    | ~ c2_1(a1169)
    | ~ spl0_13
    | ~ spl0_61 ),
    inference(resolution,[],[f607,f384]) ).

fof(f1750,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(resolution,[],[f367,f395]) ).

fof(f1753,plain,
    ( c0_1(a1182)
    | c3_1(a1182)
    | ~ spl0_8
    | spl0_138 ),
    inference(resolution,[],[f367,f991]) ).

fof(f1763,plain,
    ( c0_1(a1192)
    | c3_1(a1192)
    | ~ spl0_8
    | spl0_121 ),
    inference(resolution,[],[f367,f906]) ).

fof(f1766,plain,
    ( c0_1(a1175)
    | c3_1(a1175)
    | ~ spl0_8
    | spl0_112 ),
    inference(resolution,[],[f367,f861]) ).

fof(f1773,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1750]) ).

fof(f1777,plain,
    ( spl0_19
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1773,f394,f366,f404]) ).

fof(f1788,plain,
    ( c0_1(a1192)
    | ~ c2_1(a1192)
    | ~ spl0_14
    | ~ spl0_161 ),
    inference(resolution,[],[f388,f1239]) ).

fof(f1789,plain,
    ( c0_1(a1180)
    | ~ c2_1(a1180)
    | ~ spl0_14
    | ~ spl0_71 ),
    inference(resolution,[],[f388,f657]) ).

fof(f1838,plain,
    ( ~ c3_1(a1174)
    | ~ c0_1(a1174)
    | ~ spl0_23
    | spl0_109 ),
    inference(resolution,[],[f420,f846]) ).

fof(f1840,plain,
    ( ~ c3_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl0_23
    | spl0_104 ),
    inference(resolution,[],[f420,f821]) ).

fof(f1851,plain,
    ( c3_1(a1182)
    | ~ c0_1(a1182)
    | ~ spl0_25
    | spl0_138 ),
    inference(resolution,[],[f428,f991]) ).

fof(f1867,plain,
    ( c3_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl0_25
    | spl0_104 ),
    inference(resolution,[],[f428,f821]) ).

fof(f1874,plain,
    ( ~ spl0_105
    | spl0_158
    | ~ spl0_25
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1867,f819,f427,f1221,f824]) ).

fof(f1879,plain,
    ( ~ spl0_155
    | spl0_136
    | ~ spl0_25
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1851,f989,f427,f979,f1133]) ).

fof(f1911,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(resolution,[],[f461,f456]) ).

fof(f1914,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_32 ),
    inference(resolution,[],[f461,f402]) ).

fof(f1916,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(resolution,[],[f461,f395]) ).

fof(f1930,plain,
    ( ~ c3_1(a1180)
    | c0_1(a1180)
    | ~ spl0_32
    | spl0_117 ),
    inference(resolution,[],[f461,f886]) ).

fof(f1932,plain,
    ( ~ c3_1(a1175)
    | c0_1(a1175)
    | ~ spl0_32
    | spl0_112 ),
    inference(resolution,[],[f461,f861]) ).

fof(f1939,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1916]) ).

fof(f1940,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1914]) ).

fof(f1941,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1911]) ).

fof(f1944,plain,
    ( spl0_65
    | ~ spl0_160
    | ~ spl0_32
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1932,f859,f460,f1232,f625]) ).

fof(f1946,plain,
    ( spl0_72
    | ~ spl0_71
    | ~ spl0_32
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1930,f884,f460,f655,f660]) ).

fof(f1953,plain,
    ( spl0_12
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1939,f460,f394,f380]) ).

fof(f1955,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_29
    | ~ spl0_33 ),
    inference(resolution,[],[f464,f447]) ).

fof(f1961,plain,
    ( ~ c2_1(a1190)
    | c3_1(a1190)
    | ~ spl0_33
    | spl0_140 ),
    inference(resolution,[],[f464,f1001]) ).

fof(f1978,plain,
    ( ~ c2_1(a1168)
    | c3_1(a1168)
    | ~ spl0_33
    | spl0_104 ),
    inference(resolution,[],[f464,f821]) ).

fof(f1984,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_29
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1955]) ).

fof(f1988,plain,
    ( spl0_158
    | ~ spl0_60
    | ~ spl0_33
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1978,f819,f463,f600,f1221]) ).

fof(f1994,plain,
    ( spl0_139
    | ~ spl0_170
    | ~ spl0_33
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1961,f999,f463,f1364,f994]) ).

fof(f1996,plain,
    ( ~ spl0_110
    | ~ spl0_64
    | ~ spl0_23
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1838,f844,f419,f620,f849]) ).

fof(f2004,plain,
    ( ~ spl0_62
    | ~ spl0_159
    | ~ spl0_13
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1715,f605,f383,f1226,f610]) ).

fof(f2011,plain,
    ( ~ c0_1(a1174)
    | ~ c2_1(a1174)
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(resolution,[],[f622,f384]) ).

fof(f2012,plain,
    ( ~ c0_1(a1174)
    | c2_1(a1174)
    | ~ spl0_2
    | ~ spl0_64 ),
    inference(resolution,[],[f622,f346]) ).

fof(f2028,plain,
    ( ~ c2_1(a1211)
    | ~ c0_1(a1211)
    | ~ spl0_10
    | ~ spl0_97 ),
    inference(resolution,[],[f787,f374]) ).

fof(f2031,plain,
    ( ~ spl0_134
    | ~ spl0_169
    | ~ spl0_10
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2028,f785,f373,f1358,f969]) ).

fof(f2034,plain,
    ( spl0_162
    | ~ spl0_125
    | ~ spl0_5
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1483,f755,f356,f924,f1243]) ).

fof(f2040,plain,
    ( ~ c0_1(a1176)
    | c2_1(a1176)
    | ~ spl0_2
    | ~ spl0_66 ),
    inference(resolution,[],[f632,f346]) ).

fof(f2042,plain,
    ( ~ c3_1(a1194)
    | c0_1(a1194)
    | ~ spl0_18
    | ~ spl0_84 ),
    inference(resolution,[],[f722,f402]) ).

fof(f2055,plain,
    ( spl0_111
    | ~ spl0_160
    | ~ spl0_9
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1447,f859,f369,f1232,f854]) ).

fof(f2066,plain,
    ( ~ c3_1(a1218)
    | c0_1(a1218)
    | ~ spl0_18
    | ~ spl0_99 ),
    inference(resolution,[],[f797,f402]) ).

fof(f2067,plain,
    ( spl0_100
    | ~ spl0_98
    | ~ spl0_18
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2066,f795,f401,f790,f800]) ).

fof(f2136,plain,
    ( ~ c3_1(a1180)
    | c2_1(a1180)
    | ~ spl0_9
    | spl0_117 ),
    inference(resolution,[],[f370,f886]) ).

fof(f2152,plain,
    ( c2_1(a1199)
    | c0_1(a1199)
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(resolution,[],[f381,f742]) ).

fof(f2183,plain,
    ( ~ c3_1(a1200)
    | ~ c2_1(a1200)
    | ~ spl0_31
    | ~ spl0_91 ),
    inference(resolution,[],[f456,f757]) ).

fof(f2189,plain,
    ( ~ spl0_90
    | ~ spl0_162
    | ~ spl0_31
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2183,f755,f455,f1243,f750]) ).

fof(f2196,plain,
    ( spl0_136
    | spl0_155
    | ~ spl0_8
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1753,f989,f366,f1133,f979]) ).

fof(f2198,plain,
    ( spl0_160
    | spl0_65
    | ~ spl0_8
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1766,f859,f366,f625,f1232]) ).

fof(f2202,plain,
    ( ~ spl0_125
    | ~ spl0_90
    | ~ spl0_10
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1522,f755,f373,f750,f924]) ).

fof(f2208,plain,
    ( ~ spl0_167
    | ~ spl0_110
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2011,f620,f383,f849,f1348]) ).

fof(f2209,plain,
    ( spl0_85
    | spl0_165
    | ~ spl0_17
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1286,f720,f397,f1288,f725]) ).

fof(f2220,plain,
    ( ~ spl0_110
    | spl0_167
    | ~ spl0_7
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1686,f844,f362,f1348,f849]) ).

fof(f2229,plain,
    ( ~ c0_1(a1204)
    | c3_1(a1204)
    | ~ spl0_5
    | ~ spl0_94 ),
    inference(resolution,[],[f772,f357]) ).

fof(f2230,plain,
    ( ~ c0_1(a1207)
    | c3_1(a1207)
    | ~ spl0_5
    | ~ spl0_96 ),
    inference(resolution,[],[f782,f357]) ).

fof(f2240,plain,
    ( c0_1(a1175)
    | c2_1(a1175)
    | ~ spl0_1
    | spl0_112 ),
    inference(resolution,[],[f343,f861]) ).

fof(f2263,plain,
    ( spl0_108
    | spl0_63
    | ~ spl0_19
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1557,f834,f404,f615,f839]) ).

fof(f2285,plain,
    ( spl0_156
    | ~ spl0_71
    | ~ spl0_9
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2136,f884,f369,f655,f1183]) ).

fof(f2290,plain,
    ( spl0_103
    | ~ spl0_164
    | ~ spl0_20
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1306,f809,f408,f1279,f814]) ).

fof(f2328,plain,
    ( spl0_14
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1941,f460,f455,f387]) ).

fof(f2367,plain,
    ( ~ c0_1(a1186)
    | ~ c2_1(a1186)
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(resolution,[],[f384,f687]) ).

fof(f2376,plain,
    ( ~ spl0_78
    | ~ spl0_120
    | ~ spl0_13
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2367,f685,f383,f899,f690]) ).

fof(f2389,plain,
    ( c0_1(a1169)
    | ~ c2_1(a1169)
    | ~ spl0_14
    | ~ spl0_61 ),
    inference(resolution,[],[f388,f607]) ).

fof(f2391,plain,
    ( c0_1(a1187)
    | ~ c2_1(a1187)
    | ~ spl0_14
    | ~ spl0_79 ),
    inference(resolution,[],[f388,f697]) ).

fof(f2392,plain,
    ( c0_1(a1184)
    | ~ c2_1(a1184)
    | ~ spl0_14
    | ~ spl0_157 ),
    inference(resolution,[],[f388,f1217]) ).

fof(f2393,plain,
    ( ~ spl0_74
    | spl0_76
    | ~ spl0_14
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2392,f1215,f387,f680,f670]) ).

fof(f2394,plain,
    ( ~ spl0_80
    | spl0_81
    | ~ spl0_14
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2391,f695,f387,f705,f700]) ).

fof(f2400,plain,
    ( spl0_113
    | ~ spl0_114
    | ~ spl0_2
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2040,f630,f345,f869,f864]) ).

fof(f2405,plain,
    ( spl0_133
    | ~ spl0_134
    | ~ spl0_5
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1581,f785,f356,f969,f964]) ).

fof(f2407,plain,
    ( spl0_128
    | ~ spl0_152
    | ~ spl0_5
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2229,f770,f356,f1118,f939]) ).

fof(f2408,plain,
    ( spl0_131
    | ~ spl0_154
    | ~ spl0_5
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2230,f780,f356,f1128,f954]) ).

fof(f2411,plain,
    ( spl0_161
    | spl0_83
    | ~ spl0_8
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1763,f904,f366,f715,f1237]) ).

fof(f2419,plain,
    ( spl0_89
    | spl0_124
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2152,f740,f380,f919,f745]) ).

fof(f2422,plain,
    ( spl0_169
    | ~ spl0_134
    | ~ spl0_15
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1580,f785,f390,f969,f1358]) ).

fof(f2426,plain,
    ( spl0_111
    | spl0_65
    | ~ spl0_1
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2240,f859,f342,f625,f854]) ).

fof(f2437,plain,
    ( ~ spl0_82
    | spl0_83
    | ~ spl0_14
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1788,f1237,f387,f715,f710]) ).

fof(f2438,plain,
    ( ~ spl0_156
    | spl0_72
    | ~ spl0_14
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1789,f655,f387,f660,f1183]) ).

fof(f2445,plain,
    ( spl0_85
    | ~ spl0_165
    | ~ spl0_18
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2042,f720,f401,f1288,f725]) ).

fof(f2491,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(resolution,[],[f398,f343]) ).

fof(f2493,plain,
    ( c3_1(a1207)
    | c0_1(a1207)
    | ~ spl0_17
    | ~ spl0_96 ),
    inference(resolution,[],[f398,f782]) ).

fof(f2495,plain,
    ( c3_1(a1204)
    | c0_1(a1204)
    | ~ spl0_17
    | ~ spl0_94 ),
    inference(resolution,[],[f398,f772]) ).

fof(f2503,plain,
    ( c3_1(a1184)
    | c0_1(a1184)
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(resolution,[],[f398,f677]) ).

fof(f2505,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f2491]) ).

fof(f2508,plain,
    ( spl0_76
    | spl0_157
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2503,f675,f397,f1215,f680]) ).

fof(f2513,plain,
    ( spl0_152
    | spl0_128
    | ~ spl0_17
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2495,f770,f397,f939,f1118]) ).

fof(f2515,plain,
    ( spl0_19
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2505,f397,f342,f404]) ).

fof(f2523,plain,
    ( spl0_167
    | ~ spl0_110
    | ~ spl0_2
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2012,f620,f345,f849,f1348]) ).

fof(f2536,plain,
    ( ~ c0_1(a1168)
    | ~ c2_1(a1168)
    | ~ spl0_13
    | ~ spl0_158 ),
    inference(resolution,[],[f1223,f384]) ).

fof(f2537,plain,
    ( ~ spl0_60
    | ~ spl0_105
    | ~ spl0_13
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2536,f1221,f383,f824,f600]) ).

fof(f2556,plain,
    ( ~ c2_1(a1204)
    | ~ spl0_29
    | ~ spl0_33
    | spl0_128 ),
    inference(resolution,[],[f1984,f941]) ).

fof(f2577,plain,
    ( ~ spl0_93
    | ~ spl0_29
    | ~ spl0_33
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2556,f939,f463,f446,f765]) ).

fof(f2580,plain,
    ( ~ spl0_62
    | spl0_159
    | ~ spl0_14
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2389,f605,f387,f1226,f610]) ).

fof(f2581,plain,
    ( spl0_154
    | spl0_131
    | ~ spl0_17
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2493,f780,f397,f954,f1128]) ).

fof(f2585,plain,
    ( ~ spl0_105
    | ~ spl0_158
    | ~ spl0_23
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1840,f819,f419,f1221,f824]) ).

fof(f2596,plain,
    ( c0_1(a1199)
    | ~ spl0_18
    | ~ spl0_32
    | ~ spl0_88 ),
    inference(resolution,[],[f1940,f742]) ).

fof(f2603,plain,
    ( spl0_89
    | ~ spl0_18
    | ~ spl0_32
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2596,f740,f460,f401,f745]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s3,plain,
    ( spl0_2
    | spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_5
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_5
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_9
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_12
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_9
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_11
    | ~ spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_8
    | spl0_15
    | spl0_27 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_13
    | spl0_15
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s16,plain,
    ( spl0_3
    | spl0_10
    | spl0_25 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s19,plain,
    ( spl0_3
    | ~ spl0_30
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s24,plain,
    ( spl0_3
    | spl0_11
    | spl0_31
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_16
    | spl0_17
    | spl0_41 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_16
    | spl0_31
    | spl0_46 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s32,plain,
    ( spl0_3
    | spl0_16
    | spl0_18
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s34,plain,
    ( spl0_3
    | spl0_4
    | spl0_24
    | spl0_34 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_47
    | spl0_49 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s37,plain,
    ( spl0_2
    | spl0_3
    | spl0_49
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s41,plain,
    ( spl0_3
    | spl0_5
    | spl0_24
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_8
    | spl0_41
    | spl0_46 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s44,plain,
    ( spl0_3
    | spl0_6
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s46,plain,
    ( spl0_3
    | spl0_13
    | spl0_49
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s47,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_28
    | spl0_49 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s50,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s52,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s53,plain,
    ( spl0_3
    | spl0_18
    | ~ spl0_30
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s54,plain,
    ( spl0_42
    | spl0_60 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s55,plain,
    ( spl0_35
    | spl0_61 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s56,plain,
    ( spl0_35
    | spl0_62 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s57,plain,
    ( spl0_47
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s58,plain,
    ( spl0_30
    | spl0_64 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s59,plain,
    ( ~ spl0_41
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s60,plain,
    ( ~ spl0_46
    | spl0_66 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s61,plain,
    ( spl0_39
    | spl0_67 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s65,plain,
    ( spl0_37
    | spl0_71 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s66,plain,
    ( spl0_37
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s68,plain,
    ( ~ spl0_34
    | spl0_74 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s69,plain,
    ( ~ spl0_34
    | spl0_75 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s70,plain,
    ( ~ spl0_34
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s71,plain,
    ( spl0_26
    | spl0_77 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s72,plain,
    ( spl0_26
    | spl0_78 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s73,plain,
    ( ~ spl0_27
    | spl0_79 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s74,plain,
    ( ~ spl0_27
    | spl0_80 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s75,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s76,plain,
    ( ~ spl0_24
    | spl0_82 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s77,plain,
    ( ~ spl0_24
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s78,plain,
    ( spl0_51
    | spl0_84 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s79,plain,
    ( spl0_51
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s82,plain,
    ( ~ spl0_59
    | spl0_88 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s83,plain,
    ( ~ spl0_59
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s84,plain,
    ( spl0_28
    | spl0_90 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s85,plain,
    ( spl0_28
    | spl0_91 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s87,plain,
    ( spl0_54
    | spl0_93 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s88,plain,
    ( spl0_54
    | spl0_94 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s90,plain,
    ( ~ spl0_52
    | spl0_96 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s91,plain,
    ( ~ spl0_49
    | spl0_97 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s92,plain,
    ( spl0_57
    | spl0_98 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s93,plain,
    ( spl0_57
    | spl0_99 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s94,plain,
    ( spl0_57
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s95,plain,
    ( ~ spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s96,plain,
    ( ~ spl0_101
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s97,plain,
    ( spl0_42
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s98,plain,
    ( spl0_42
    | spl0_105 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s99,plain,
    ( spl0_35
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s100,plain,
    ( spl0_47
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s101,plain,
    ( spl0_47
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s102,plain,
    ( spl0_30
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s103,plain,
    ( spl0_30
    | spl0_110 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s104,plain,
    ( ~ spl0_41
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s105,plain,
    ( ~ spl0_41
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s106,plain,
    ( ~ spl0_46
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s107,plain,
    ( ~ spl0_46
    | spl0_114 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s108,plain,
    ( spl0_39
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s109,plain,
    ( spl0_39
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s110,plain,
    ( spl0_37
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s113,plain,
    ( spl0_26
    | spl0_120 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s114,plain,
    ( ~ spl0_24
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s115,plain,
    ( spl0_51
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s117,plain,
    ( ~ spl0_59
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s118,plain,
    ( spl0_28
    | spl0_125 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s121,plain,
    ( spl0_54
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s124,plain,
    ( ~ spl0_52
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s126,plain,
    ( ~ spl0_49
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s127,plain,
    ( ~ spl0_49
    | spl0_134 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s128,plain,
    ( ~ spl0_101
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s129,plain,
    ( spl0_22
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s130,plain,
    ( spl0_22
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s131,plain,
    ( spl0_22
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s132,plain,
    ( ~ spl0_44
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s133,plain,
    ( ~ spl0_44
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s134,plain,
    ( ~ spl0_44
    | spl0_141 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s138,plain,
    ( ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s139,plain,
    ( ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s140,plain,
    ( ~ spl0_146
    | spl0_148 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s141,plain,
    ( ~ spl0_37
    | spl0_52
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s143,plain,
    ( ~ spl0_28
    | ~ spl0_35
    | spl0_59 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s144,plain,
    ( spl0_24
    | ~ spl0_28
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s145,plain,
    ( ~ spl0_35
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s146,plain,
    ( ~ spl0_28
    | spl0_44
    | spl0_101 ),
    inference(sat_conversion,[],[f1047]) ).

cnf(s155,plain,
    ( ~ spl0_3
    | spl0_37 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s175,plain,
    ( ~ spl0_3
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s176,plain,
    ( ~ spl0_37
    | spl0_146 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s183,plain,
    ( ~ spl0_4
    | spl0_136
    | spl0_137
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s184,plain,
    ( ~ spl0_6
    | ~ spl0_61
    | ~ spl0_62
    | spl0_106 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s185,plain,
    ( ~ spl0_6
    | ~ spl0_71
    | spl0_117
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s209,plain,
    ( ~ spl0_6
    | spl0_14
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s221,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_141
    | spl0_170 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s222,plain,
    ( ~ spl0_9
    | ~ spl0_67
    | spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f1412]) ).

cnf(s224,plain,
    ( ~ spl0_9
    | spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1414]) ).

cnf(s225,plain,
    ( ~ spl0_9
    | spl0_12
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s241,plain,
    ( ~ spl0_9
    | ~ spl0_64
    | spl0_109
    | spl0_167 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s245,plain,
    ( ~ spl0_6
    | ~ spl0_82
    | spl0_121
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1467]) ).

cnf(s247,plain,
    ( ~ spl0_21
    | ~ spl0_93
    | spl0_128
    | spl0_152 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s252,plain,
    ( ~ spl0_11
    | ~ spl0_60
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1513]) ).

cnf(s257,plain,
    ( ~ spl0_10
    | ~ spl0_93
    | ~ spl0_94
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1526]) ).

cnf(s261,plain,
    ( ~ spl0_19
    | spl0_65
    | spl0_111
    | spl0_160 ),
    inference(sat_conversion,[],[f1566]) ).

cnf(s271,plain,
    ( ~ spl0_19
    | spl0_103
    | spl0_135
    | spl0_164 ),
    inference(sat_conversion,[],[f1576]) ).

cnf(s272,plain,
    ( ~ spl0_19
    | spl0_136
    | spl0_137
    | spl0_155 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s278,plain,
    ( ~ spl0_16
    | ~ spl0_84
    | spl0_85
    | spl0_122 ),
    inference(sat_conversion,[],[f1586]) ).

cnf(s287,plain,
    ( ~ spl0_4
    | spl0_145
    | spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s318,plain,
    ( ~ spl0_8
    | ~ spl0_16
    | spl0_19 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s321,plain,
    ( ~ spl0_25
    | spl0_104
    | ~ spl0_105
    | spl0_158 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s326,plain,
    ( ~ spl0_25
    | spl0_136
    | spl0_138
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s330,plain,
    ( ~ spl0_32
    | spl0_65
    | spl0_112
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1944]) ).

cnf(s332,plain,
    ( ~ spl0_32
    | ~ spl0_71
    | spl0_72
    | spl0_117 ),
    inference(sat_conversion,[],[f1946]) ).

cnf(s339,plain,
    ( spl0_12
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f1953]) ).

cnf(s342,plain,
    ( ~ spl0_33
    | ~ spl0_60
    | spl0_104
    | spl0_158 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s348,plain,
    ( ~ spl0_33
    | spl0_139
    | spl0_140
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s350,plain,
    ( ~ spl0_23
    | ~ spl0_64
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s359,plain,
    ( ~ spl0_13
    | ~ spl0_61
    | ~ spl0_62
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s367,plain,
    ( ~ spl0_10
    | ~ spl0_97
    | ~ spl0_134
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s370,plain,
    ( ~ spl0_5
    | ~ spl0_91
    | ~ spl0_125
    | spl0_162 ),
    inference(sat_conversion,[],[f2034]) ).

cnf(s391,plain,
    ( ~ spl0_9
    | spl0_111
    | spl0_112
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s393,plain,
    ( ~ spl0_18
    | ~ spl0_98
    | ~ spl0_99
    | spl0_100 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s411,plain,
    ( ~ spl0_31
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s418,plain,
    ( ~ spl0_8
    | spl0_136
    | spl0_138
    | spl0_155 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s420,plain,
    ( ~ spl0_8
    | spl0_65
    | spl0_112
    | spl0_160 ),
    inference(sat_conversion,[],[f2198]) ).

cnf(s424,plain,
    ( ~ spl0_10
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2202]) ).

cnf(s430,plain,
    ( ~ spl0_13
    | ~ spl0_64
    | ~ spl0_110
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2208]) ).

cnf(s431,plain,
    ( ~ spl0_17
    | ~ spl0_84
    | spl0_85
    | spl0_165 ),
    inference(sat_conversion,[],[f2209]) ).

cnf(s442,plain,
    ( ~ spl0_7
    | spl0_109
    | ~ spl0_110
    | spl0_167 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s463,plain,
    ( ~ spl0_19
    | spl0_63
    | spl0_107
    | spl0_108 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s485,plain,
    ( ~ spl0_9
    | ~ spl0_71
    | spl0_117
    | spl0_156 ),
    inference(sat_conversion,[],[f2285]) ).

cnf(s490,plain,
    ( ~ spl0_20
    | ~ spl0_102
    | spl0_103
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s506,plain,
    ( spl0_14
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f2328]) ).

cnf(s508,plain,
    ( ~ spl0_13
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2376]) ).

cnf(s510,plain,
    ( ~ spl0_14
    | ~ spl0_74
    | spl0_76
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2393]) ).

cnf(s511,plain,
    ( ~ spl0_14
    | ~ spl0_79
    | ~ spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f2394]) ).

cnf(s517,plain,
    ( ~ spl0_2
    | ~ spl0_66
    | spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2400]) ).

cnf(s522,plain,
    ( ~ spl0_5
    | ~ spl0_97
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2405]) ).

cnf(s524,plain,
    ( ~ spl0_5
    | ~ spl0_94
    | spl0_128
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2407]) ).

cnf(s525,plain,
    ( ~ spl0_5
    | ~ spl0_96
    | spl0_131
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2408]) ).

cnf(s528,plain,
    ( ~ spl0_8
    | spl0_83
    | spl0_121
    | spl0_161 ),
    inference(sat_conversion,[],[f2411]) ).

cnf(s536,plain,
    ( ~ spl0_12
    | ~ spl0_88
    | spl0_89
    | spl0_124 ),
    inference(sat_conversion,[],[f2419]) ).

cnf(s539,plain,
    ( ~ spl0_15
    | ~ spl0_97
    | ~ spl0_134
    | spl0_169 ),
    inference(sat_conversion,[],[f2422]) ).

cnf(s543,plain,
    ( ~ spl0_1
    | spl0_65
    | spl0_111
    | spl0_112 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s557,plain,
    ( ~ spl0_14
    | ~ spl0_82
    | spl0_83
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2437]) ).

cnf(s558,plain,
    ( ~ spl0_14
    | ~ spl0_71
    | spl0_72
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2438]) ).

cnf(s565,plain,
    ( ~ spl0_18
    | ~ spl0_84
    | spl0_85
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2445]) ).

cnf(s569,plain,
    ( ~ spl0_17
    | ~ spl0_75
    | spl0_76
    | spl0_157 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s574,plain,
    ( ~ spl0_17
    | ~ spl0_94
    | spl0_128
    | spl0_152 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s576,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_19 ),
    inference(sat_conversion,[],[f2515]) ).

cnf(s584,plain,
    ( ~ spl0_2
    | ~ spl0_64
    | ~ spl0_110
    | spl0_167 ),
    inference(sat_conversion,[],[f2523]) ).

cnf(s596,plain,
    ( ~ spl0_13
    | ~ spl0_60
    | ~ spl0_105
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2537]) ).

cnf(s603,plain,
    ( ~ spl0_29
    | ~ spl0_33
    | ~ spl0_93
    | spl0_128 ),
    inference(sat_conversion,[],[f2577]) ).

cnf(s608,plain,
    ( ~ spl0_14
    | ~ spl0_61
    | ~ spl0_62
    | spl0_159 ),
    inference(sat_conversion,[],[f2580]) ).

cnf(s609,plain,
    ( ~ spl0_17
    | ~ spl0_96
    | spl0_131
    | spl0_154 ),
    inference(sat_conversion,[],[f2581]) ).

cnf(s613,plain,
    ( ~ spl0_23
    | spl0_104
    | ~ spl0_105
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2585]) ).

cnf(s617,plain,
    ( ~ spl0_18
    | ~ spl0_32
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f2603]) ).

cnf(s619,plain,
    ( spl0_10
    | spl0_5
    | spl0_3 ),
    inference(rat,[],[s252,s54,s97,s98,s4,s50]) ).

cnf(s620,plain,
    ( spl0_42
    | ~ spl0_11 ),
    inference(rat,[],[s252,s54,s97,s98]) ).

cnf(s621,plain,
    ( spl0_12
    | ~ spl0_42
    | ~ spl0_9
    | spl0_3 ),
    inference(rat,[],[s32,s224,s225]) ).

cnf(s622,plain,
    ( spl0_28
    | ~ spl0_10 ),
    inference(rat,[],[s424,s84,s85,s118]) ).

cnf(s624,plain,
    ( spl0_13
    | ~ spl0_10
    | spl0_3 ),
    inference(rat,[],[s367,s539,s91,s127,s14,s47,s622]) ).

cnf(s626,plain,
    ( spl0_39
    | ~ spl0_9 ),
    inference(rat,[],[s222,s61,s108,s109]) ).

cnf(s628,plain,
    ( spl0_26
    | ~ spl0_13 ),
    inference(rat,[],[s508,s71,s72,s113]) ).

cnf(s629,plain,
    ( spl0_35
    | ~ spl0_14
    | ~ spl0_13 ),
    inference(rat,[],[s359,s608,s55,s56]) ).

cnf(s632,plain,
    ( ~ spl0_41
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(rat,[],[s261,s391,s59,s104,s105]) ).

cnf(s635,plain,
    ( spl0_54
    | ~ spl0_17
    | ~ spl0_10 ),
    inference(rat,[],[s257,s574,s87,s88,s121]) ).

cnf(s636,plain,
    ( ~ spl0_34
    | ~ spl0_17
    | ~ spl0_14 ),
    inference(rat,[],[s510,s569,s68,s69,s70]) ).

cnf(s638,plain,
    ( spl0_37
    | ~ spl0_32 ),
    inference(rat,[],[s332,s65,s66,s110]) ).

cnf(s639,plain,
    ( ~ spl0_146
    | ~ spl0_4 ),
    inference(rat,[],[s287,s138,s139,s140]) ).

cnf(s640,plain,
    ( ~ spl0_9
    | spl0_5
    | ~ spl0_71
    | spl0_72
    | spl0_117
    | spl0_3 ),
    inference(rat,[],[s430,s442,s58,s102,s103,s2,s52,s185,s558,s485,s626,s624,s619]) ).

cnf(s641,plain,
    ( ~ spl0_24
    | ~ spl0_14
    | ~ spl0_8 ),
    inference(rat,[],[s557,s528,s76,s77,s114]) ).

cnf(s642,plain,
    ( spl0_24
    | ~ spl0_8
    | spl0_9
    | spl0_5
    | spl0_3 ),
    inference(rat,[],[s318,s463,s7,s57,s100,s101,s635,s144,s41,s622,s619]) ).

cnf(s643,plain,
    ( spl0_42
    | ~ spl0_22
    | ~ spl0_13
    | spl0_32
    | spl0_3 ),
    inference(rat,[],[s350,s58,s102,s103,s19,s342,s10,s596,s620,s54,s97,s98]) ).

cnf(s644,plain,
    ( spl0_30
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s430,s442,s58,s102,s103]) ).

cnf(s645,plain,
    ( spl0_57
    | ~ spl0_18 ),
    inference(rat,[],[s393,s92,s93,s94]) ).

cnf(s646,plain,
    ( spl0_51
    | ~ spl0_16 ),
    inference(rat,[],[s278,s78,s79,s115]) ).

cnf(s647,plain,
    ( ~ spl0_49
    | ~ spl0_15
    | ~ spl0_10 ),
    inference(rat,[],[s367,s539,s91,s127]) ).

cnf(s648,plain,
    ( spl0_5
    | spl0_32
    | ~ spl0_71
    | spl0_72
    | spl0_117
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s342,s596,s54,s97,s98,s53,s565,s431,s7,s646,s78,s79,s37,s647,s19,s644,s2,s6,s245,s528,s641,s76,s77,s114,s642,s3,s640,s624,s619]) ).

cnf(s649,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | ~ spl0_71
    | spl0_72
    | spl0_117
    | spl0_3 ),
    inference(rat,[],[s241,s430,s58,s102,s103,s52,s558,s485,s626]) ).

cnf(s650,plain,
    ( spl0_42
    | ~ spl0_33
    | ~ spl0_13 ),
    inference(rat,[],[s342,s596,s54,s97,s98]) ).

cnf(s651,plain,
    ( spl0_51
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(rat,[],[s431,s565,s78,s79]) ).

cnf(s652,plain,
    ( ~ spl0_49
    | ~ spl0_5 ),
    inference(rat,[],[s522,s91,s126,s127]) ).

cnf(s653,plain,
    ( ~ spl0_13
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s183,s418,s129,s130,s131,s643,s32,s651,s7,s3,s649,s646,s37,s652,s648,s638,s65,s66,s110,s176,s639]) ).

cnf(s654,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s183,s418,s3,s129,s130,s131,s626,s10,s24,s613,s411,s321,s620,s97,s98,s370,s16,s50,s84,s85,s118,s624,s47,s653,s652,s648,s638,s65,s66,s110,s176,s639,s1]) ).

cnf(s655,plain,
    ~ spl0_3,
    inference(rat,[],[s176,s155,s175]) ).

cnf(s656,plain,
    ( ~ spl0_46
    | ~ spl0_2 ),
    inference(rat,[],[s517,s60,s106,s107]) ).

cnf(s659,plain,
    ( spl0_30
    | ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s430,s584,s58,s103]) ).

cnf(s660,plain,
    ( ~ spl0_9
    | ~ spl0_30
    | ~ spl0_13
    | ~ spl0_28
    | spl0_46 ),
    inference(rat,[],[s639,s34,s176,s641,s636,s638,s43,s26,s19,s632,s650,s8,s621,s224,s225,s536,s82,s83,s117,s143,s629,s52,s626,s655]) ).

cnf(s661,plain,
    ( ~ spl0_32
    | spl0_5
    | ~ spl0_30
    | ~ spl0_10
    | spl0_46 ),
    inference(rat,[],[s261,s330,s59,s104,s105,s43,s641,s41,s635,s7,s339,s8,s617,s536,s82,s83,s117,s143,s629,s506,s17,s639,s176,s638,s660,s624,s622,s655]) ).

cnf(s662,plain,
    ( spl0_51
    | ~ spl0_18
    | spl0_9 ),
    inference(rat,[],[s7,s651,s646,s655]) ).

cnf(s663,plain,
    ( spl0_47
    | ~ spl0_19 ),
    inference(rat,[],[s463,s57,s100,s101]) ).

cnf(s664,plain,
    ( ~ spl0_101
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(rat,[],[s490,s271,s95,s96,s128]) ).

cnf(s665,plain,
    ( spl0_5
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s348,s221,s132,s133,s134,s146,s664,s35,s663,s318,s18,s9,s7,s603,s247,s257,s635,s87,s88,s121,s647,s44,s6,s184,s629,s55,s56,s99,s145,s662,s645,s53,s650,s19,s661,s628,s660,s659,s624,s622,s656,s655]) ).

cnf(s666,plain,
    ( ~ spl0_8
    | ~ spl0_16
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s348,s221,s132,s133,s134,s146,s664,s9,s247,s524,s87,s88,s121,s44,s645,s53,s650,s19,s245,s638,s528,s176,s76,s77,s114,s639,s144,s35,s663,s318,s660,s659,s624,s622,s656,s652,s665,s655]) ).

cnf(s667,plain,
    ( ~ spl0_33
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(rat,[],[s603,s87,s121,s44,s184,s55,s56,s99,s645,s145,s53,s650,s655]) ).

cnf(s668,plain,
    ( ~ spl0_16
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s536,s82,s83,s117,s143,s629,s506,s17,s639,s176,s339,s638,s19,s667,s18,s666,s646,s622,s628,s659,s624,s655]) ).

cnf(s669,plain,
    ( ~ spl0_42
    | ~ spl0_54
    | spl0_9
    | ~ spl0_30
    | ~ spl0_13 ),
    inference(rat,[],[s629,s209,s145,s44,s662,s645,s53,s655]) ).

cnf(s670,plain,
    ( ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s525,s609,s90,s124,s141,s638,s19,s650,s669,s635,s7,s668,s665,s660,s659,s624,s622,s656,s655]) ).

cnf(s671,plain,
    ~ spl0_2,
    inference(rat,[],[s411,s30,s370,s646,s84,s85,s118,s46,s47,s596,s321,s652,s54,s97,s98,s619,s16,s50,s670,s656,s655]) ).

cnf(s672,plain,
    spl0_1,
    inference(rat,[],[s654,s655,s671]) ).

cnf(s673,plain,
    ( ~ spl0_16
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(rat,[],[s641,s6,s144,s652,s647,s663,s37,s318,s646,s622,s655,s671]) ).

cnf(s674,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6,s641,s652,s647,s144,s35,s663,s576,s7,s673,s3,s622,s653,s624,s655,s672,s671]) ).

cnf(s675,plain,
    ( ~ spl0_16
    | ~ spl0_10 ),
    inference(rat,[],[s511,s73,s74,s75,s6,s13,s652,s647,s37,s673,s646,s655,s671]) ).

cnf(s676,plain,
    ( ~ spl0_41
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s420,s391,s59,s104,s105]) ).

cnf(s677,plain,
    ( spl0_5
    | spl0_15
    | ~ spl0_54
    | ~ spl0_8 ),
    inference(rat,[],[s6,s641,s41,s655]) ).

cnf(s678,plain,
    ( ~ spl0_8
    | ~ spl0_10 ),
    inference(rat,[],[s652,s677,s647,s35,s663,s635,s576,s26,s676,s653,s624,s674,s675,s655,s672,s671]) ).

cnf(s679,plain,
    ~ spl0_41,
    inference(rat,[],[s543,s59,s104,s105,s672]) ).

cnf(s680,plain,
    ~ spl0_10,
    inference(rat,[],[s511,s73,s74,s75,s6,s13,s652,s647,s35,s663,s576,s26,s678,s675,s653,s624,s655,s672,s679,s671]) ).

cnf(s681,plain,
    ~ spl0_42,
    inference(rat,[],[s50,s655,s680]) ).

cnf(s682,plain,
    spl0_25,
    inference(rat,[],[s16,s655,s680]) ).

cnf(s683,plain,
    spl0_5,
    inference(rat,[],[s619,s655,s680]) ).

cnf(s684,plain,
    spl0_105,
    inference(rat,[],[s98,s681]) ).

cnf(s685,plain,
    ~ spl0_104,
    inference(rat,[],[s97,s681]) ).

cnf(s687,plain,
    ~ spl0_11,
    inference(rat,[],[s620,s681]) ).

cnf(s688,plain,
    ~ spl0_49,
    inference(rat,[],[s652,s683]) ).

cnf(s689,plain,
    spl0_158,
    inference(rat,[],[s321,s685,s682,s684]) ).

cnf(s690,plain,
    ~ spl0_51,
    inference(rat,[],[s37,s655,s671,s688]) ).

cnf(s691,plain,
    ~ spl0_23,
    inference(rat,[],[s613,s684,s685,s689]) ).

cnf(s696,plain,
    ~ spl0_16,
    inference(rat,[],[s646,s690]) ).

cnf(s697,plain,
    ~ spl0_22,
    inference(rat,[],[s10,s687,s655,s691]) ).

cnf(s699,plain,
    spl0_17,
    inference(rat,[],[s26,s679,s655,s696]) ).

cnf(s700,plain,
    ~ spl0_138,
    inference(rat,[],[s131,s697]) ).

cnf(s701,plain,
    ~ spl0_137,
    inference(rat,[],[s130,s697]) ).

cnf(s702,plain,
    ~ spl0_136,
    inference(rat,[],[s129,s697]) ).

cnf(s706,plain,
    spl0_19,
    inference(rat,[],[s576,s672,s699]) ).

cnf(s709,plain,
    spl0_155,
    inference(rat,[],[s272,s702,s706,s701]) ).

cnf(s710,plain,
    $false,
    inference(rat,[],[s326,s682,s700,s702,s709]) ).

fof(f2605,plain,
    $false,
    inference(avatar_sat_refutation,[],[s710]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN461-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 16:06:34 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12  Running first-order model finding
% 0.08/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17  % (3487536)Will run a generic schedule for satisfiability detection.
% 0.08/0.17  % (3487542)% WARNING: option uhcvi not known.
% 0.08/0.17  % (3487541)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=763925263_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17  % (3487544)dis+10_1_sil=32000:sp=arity:random_seed=1310995893:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17  % (3487543)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3627615931:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17  % (3487542)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4274631087:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17  % (3487547)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3046880819:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.17  % (3487545)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1080134532:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17  % (3487546)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2889541575:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.17  % Detected minimum model sizes of [1]
% 0.08/0.17  % Detected maximum model sizes of [29]
% 0.08/0.17  % TRYING [1]
% 0.08/0.17  % TRYING [2]
% 0.08/0.17  % TRYING [3]
% 0.08/0.17  % TRYING [4]
% 0.08/0.17  % (3487547) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3487536-3487547"...
% 0.08/0.17  % (3487547)...printing done.
% 0.08/0.17  % (3487547)Refutation found. Thanks to Tanya!
% 0.08/0.17  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.17  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.18  % (3487547)------------------------------
% 0.08/0.18  % (3487547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18  % (3487547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18  % (3487547)CaDiCaL version: 2.1.3
% 0.08/0.18  % (3487547)Termination reason: Refutation
% 0.08/0.18  % (3487547)Time elapsed: 0.019 s
% 0.08/0.18  % (3487547)Peak memory usage: 13 MB
% 0.08/0.18  % (3487547)Instructions burned: 57 (million)
% 0.08/0.18  % (3487536)Success in time 0.05 s
% 0.08/0.18  % Vampire exiting
%------------------------------------------------------------------------------