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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN478-1 : 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 : n013.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 02:12:21 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.31s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :  228
% Syntax   : Number of formulae    :  828 (  22 unt; 124 def)
%            Number of atoms       : 2622 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3071 (1277   ~;1670   |;   0   &)
%                                         ( 124 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  153 ( 152 usr; 149 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  172 (   0 sgn 172   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp26
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( hskp20
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f3,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f24,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f31,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f34,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp30
    | hskp2
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp28
    | hskp1
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f43,negated_conjecture,
    ( hskp26
    | hskp29
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f45,negated_conjecture,
    ( hskp18
    | hskp5
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp25
    | c0_1(a1394) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1394) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f63,negated_conjecture,
    ( ~ hskp22
    | c0_1(a1356) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1356) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f66,negated_conjecture,
    ( ~ hskp20
    | c1_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp19
    | c0_1(a1344) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1344) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1339) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f73,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f76,negated_conjecture,
    ( ~ hskp14
    | c0_1(a1330) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp11
    | c0_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp11
    | c3_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f83,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1320) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1319) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f86,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1314) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1312) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f90,negated_conjecture,
    ( ~ hskp2
    | c1_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1308) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a1356)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f104,negated_conjecture,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f106,negated_conjecture,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a1314)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c3_1(a1314)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f134,negated_conjecture,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c2_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c0_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c1_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c2_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp27
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp2
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp29
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp8
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp12
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp22
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f201,plain,
    ( hskp26
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f202,plain,
    ( hskp20
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f203,plain,
    ( hskp30
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f224,plain,
    ( ~ hskp9
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f231,plain,
    ( ~ hskp2
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f234,plain,
    ( hskp27
    | hskp14
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f235,plain,
    ( ~ hskp30
    | hskp2
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f236,plain,
    ( ~ hskp19
    | hskp14
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f237,plain,
    ( ~ hskp28
    | hskp25
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f238,plain,
    ( ~ hskp28
    | hskp1
    | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f241,plain,
    ( hskp26
    | ~ hskp29
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f243,plain,
    ( ~ hskp18
    | ~ hskp5
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f248,plain,
    ( hskp29
    | c1_1(a1338) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f249,plain,
    ( hskp29
    | ~ c2_1(a1338) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f250,plain,
    ( hskp29
    | c3_1(a1338) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f251,plain,
    ( hskp28
    | c0_1(a1328) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f252,plain,
    ( hskp28
    | ~ c2_1(a1328) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f253,plain,
    ( hskp28
    | c3_1(a1328) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f254,plain,
    ( ~ hskp27
    | ~ c2_1(a1307) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f255,plain,
    ( ~ hskp25
    | ~ c2_1(a1394) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f257,plain,
    ( hskp22
    | c0_1(a1356) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f258,plain,
    ( hskp22
    | c1_1(a1356) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f260,plain,
    ( ~ hskp20
    | ~ c2_1(a1348) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f261,plain,
    ( hskp19
    | c0_1(a1344) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f262,plain,
    ( hskp19
    | c1_1(a1344) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f263,plain,
    ( hskp18
    | c1_1(a1339) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f267,plain,
    ( hskp12
    | c1_1(a1325) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f268,plain,
    ( hskp12
    | c3_1(a1325) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f269,plain,
    ( ~ hskp9
    | ~ c2_1(a1320) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f270,plain,
    ( ~ hskp8
    | ~ c2_1(a1319) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f271,plain,
    ( hskp5
    | c1_1(a1314) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f273,plain,
    ( c2_1(a1411)
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f279,plain,
    ( ~ c3_1(a1356)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f283,plain,
    ( ~ c0_1(a1339)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f284,plain,
    ( c2_1(a1339)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f285,plain,
    ( c2_1(a1333)
    | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f287,plain,
    ( c2_1(a1330)
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f288,plain,
    ( c2_1(a1326)
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f289,plain,
    ( ~ c0_1(a1325)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f291,plain,
    ( ~ c0_1(a1316)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f292,plain,
    ( c2_1(a1316)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f293,plain,
    ( ~ c3_1(a1316)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f294,plain,
    ( ~ c0_1(a1314)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f295,plain,
    ( ~ c3_1(a1314)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f296,plain,
    ( c2_1(a1309)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f297,plain,
    ( c2_1(a1308)
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f298,plain,
    ( ~ c0_1(a1306)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f299,plain,
    ( ~ c1_1(a1306)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f300,plain,
    ( c2_1(a1306)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f301,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp27
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f302,plain,
    ! [X0] :
      ( ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp2
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ hskp29
      | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp8
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f314,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | hskp14
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f318,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c1_1(X0)
      | ~ hskp12
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f327,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f328,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ hskp22
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2)
      | c0_1(X1)
      | c3_1(X1) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f363,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f366,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f369,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f361,f373,f369,f366,f363]) ).

fof(f377,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f380,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f383,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f385,plain,
    ( spl0_5
    | spl0_6
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f360,f383,f369,f380,f377]) ).

fof(f387,definition,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f359,f387,f369,f366,f363]) ).

fof(f391,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f399,plain,
    ( spl0_9
    | spl0_10
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f358,f397,f369,f394,f391]) ).

fof(f401,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_5
    | spl0_8
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f357,f401,f369,f387,f377]) ).

fof(f405,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f408,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( spl0_13
    | spl0_14
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f356,f380,f369,f408,f405]) ).

fof(f412,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f415,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f417,plain,
    ( spl0_15
    | spl0_16
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f355,f380,f369,f415,f412]) ).

fof(f419,definition,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f422,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f426,definition,
    ( spl0_19
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f430,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f438,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f452,definition,
    ( spl0_26
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f455,plain,
    ( ~ spl0_26
    | spl0_7
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f350,f373,f369,f383,f452]) ).

fof(f457,definition,
    ( spl0_27
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f465,definition,
    ( spl0_29
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f469,definition,
    ( spl0_30
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( spl0_29
    | spl0_30
    | spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f348,f472,f369,f469,f465]) ).

fof(f476,definition,
    ( spl0_32
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f484,definition,
    ( spl0_34
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f492,definition,
    ( spl0_36
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f495,plain,
    ( ~ spl0_36
    | spl0_16
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f345,f438,f369,f415,f492]) ).

fof(f497,plain,
    ( spl0_29
    | spl0_12
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f343,f380,f369,f401,f465]) ).

fof(f499,definition,
    ( spl0_37
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f504,definition,
    ( spl0_38
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f508,definition,
    ( spl0_39
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f512,definition,
    ( spl0_40
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f515,plain,
    ( spl0_40
    | spl0_1
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f340,f394,f369,f363,f512]) ).

fof(f517,definition,
    ( spl0_41
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f521,definition,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f522,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( ~ spl0_41
    | spl0_42
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f339,f408,f369,f521,f517]) ).

fof(f529,definition,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f530,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f533,definition,
    ( spl0_45
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f536,plain,
    ( spl0_45
    | spl0_9
    | spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f337,f529,f369,f391,f533]) ).

fof(f538,definition,
    ( spl0_46
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f541,plain,
    ( spl0_46
    | spl0_17
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f336,f415,f369,f419,f538]) ).

fof(f543,definition,
    ( spl0_47
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f547,definition,
    ( spl0_48
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f548,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( spl0_47
    | spl0_48
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f335,f366,f369,f547,f543]) ).

fof(f560,plain,
    ( spl0_27
    | spl0_15
    | spl0_17
    | spl0_3 ),
    inference(avatar_split_clause,[],[f332,f369,f419,f412,f457]) ).

fof(f561,plain,
    ( spl0_46
    | spl0_48
    | spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f331,f401,f369,f547,f538]) ).

fof(f565,definition,
    ( spl0_51
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f568,plain,
    ( spl0_27
    | ~ spl0_51
    | spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f328,f430,f369,f565,f457]) ).

fof(f569,plain,
    ( spl0_45
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f327,f438,f369,f533]) ).

fof(f573,definition,
    ( spl0_52
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f577,definition,
    ( spl0_53
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f586,plain,
    ( spl0_47
    | spl0_38
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f322,f380,f369,f504,f543]) ).

fof(f593,definition,
    ( spl0_56
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f318,f387,f369,f492,f476]) ).

fof(f605,definition,
    ( spl0_58
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f610,plain,
    ( spl0_58
    | spl0_38
    | spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f314,f422,f369,f504,f605]) ).

fof(f613,definition,
    ( spl0_59
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f622,definition,
    ( spl0_61
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ spl0_41
    | spl0_47
    | spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f309,f508,f369,f543,f517]) ).

fof(f628,plain,
    ( ~ spl0_52
    | ~ spl0_19
    | spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f308,f508,f369,f426,f573]) ).

fof(f632,plain,
    ( ~ spl0_34
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f304,f415,f369,f484]) ).

fof(f634,plain,
    ( spl0_59
    | spl0_56
    | spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f302,f369,f405,f593,f613]) ).

fof(f635,plain,
    ( spl0_59
    | spl0_29
    | spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f301,f369,f405,f465,f613]) ).

fof(f637,definition,
    ( spl0_62
  <=> c2_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f639,plain,
    ( c2_1(a1306)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f640,plain,
    ( spl0_32
    | spl0_62 ),
    inference(avatar_split_clause,[],[f300,f637,f476]) ).

fof(f642,definition,
    ( spl0_63
  <=> c1_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f645,plain,
    ( spl0_32
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f299,f642,f476]) ).

fof(f647,definition,
    ( spl0_64
  <=> c0_1(a1306) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f650,plain,
    ( spl0_32
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f298,f647,f476]) ).

fof(f652,definition,
    ( spl0_65
  <=> c2_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f654,plain,
    ( c2_1(a1308)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_59
    | spl0_65 ),
    inference(avatar_split_clause,[],[f297,f652,f613]) ).

fof(f657,definition,
    ( spl0_66
  <=> c1_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ spl0_59
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f135,f657,f613]) ).

fof(f662,definition,
    ( spl0_67
  <=> c2_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f664,plain,
    ( c2_1(a1309)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_56
    | spl0_67 ),
    inference(avatar_split_clause,[],[f296,f662,f593]) ).

fof(f672,definition,
    ( spl0_69
  <=> c3_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ c3_1(a1312)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( ~ spl0_40
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f132,f672,f512]) ).

fof(f677,definition,
    ( spl0_70
  <=> c1_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f680,plain,
    ( ~ spl0_40
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f131,f677,f512]) ).

fof(f682,definition,
    ( spl0_71
  <=> c3_1(a1314) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f684,plain,
    ( ~ c3_1(a1314)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( spl0_26
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f295,f682,f452]) ).

fof(f687,definition,
    ( spl0_72
  <=> c0_1(a1314) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f690,plain,
    ( spl0_26
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f294,f687,f452]) ).

fof(f702,definition,
    ( spl0_75
  <=> c3_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ c3_1(a1316)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( spl0_41
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f293,f702,f517]) ).

fof(f707,definition,
    ( spl0_76
  <=> c2_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f709,plain,
    ( c2_1(a1316)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( spl0_41
    | spl0_76 ),
    inference(avatar_split_clause,[],[f292,f707,f517]) ).

fof(f712,definition,
    ( spl0_77
  <=> c0_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f291,f712,f517]) ).

fof(f717,definition,
    ( spl0_78
  <=> c3_1(a1319) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f720,plain,
    ( ~ spl0_47
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f123,f717,f543]) ).

fof(f722,definition,
    ( spl0_79
  <=> c0_1(a1319) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ spl0_47
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f122,f722,f543]) ).

fof(f727,definition,
    ( spl0_80
  <=> c1_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f121,f727,f538]) ).

fof(f732,definition,
    ( spl0_81
  <=> c0_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_46
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f120,f732,f538]) ).

fof(f742,definition,
    ( spl0_83
  <=> c1_1(a1324) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f118,f742,f457]) ).

fof(f747,definition,
    ( spl0_84
  <=> c0_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f289,f747,f492]) ).

fof(f752,definition,
    ( spl0_85
  <=> c3_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ spl0_45
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f116,f752,f533]) ).

fof(f757,definition,
    ( spl0_86
  <=> c2_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f759,plain,
    ( c2_1(a1326)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f760,plain,
    ( ~ spl0_45
    | spl0_86 ),
    inference(avatar_split_clause,[],[f288,f757,f533]) ).

fof(f762,definition,
    ( spl0_87
  <=> c1_1(a1326) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ spl0_45
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f114,f762,f533]) ).

fof(f767,definition,
    ( spl0_88
  <=> c2_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f769,plain,
    ( c2_1(a1330)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( ~ spl0_38
    | spl0_88 ),
    inference(avatar_split_clause,[],[f287,f767,f504]) ).

fof(f772,definition,
    ( spl0_89
  <=> c1_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f112,f772,f504]) ).

fof(f782,definition,
    ( spl0_91
  <=> c3_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f784,plain,
    ( ~ c3_1(a1333)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f785,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f110,f782,f605]) ).

fof(f787,definition,
    ( spl0_92
  <=> c2_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f789,plain,
    ( c2_1(a1333)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f790,plain,
    ( ~ spl0_58
    | spl0_92 ),
    inference(avatar_split_clause,[],[f285,f787,f605]) ).

fof(f797,definition,
    ( spl0_94
  <=> c2_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f799,plain,
    ( c2_1(a1339)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( spl0_52
    | spl0_94 ),
    inference(avatar_split_clause,[],[f284,f797,f573]) ).

fof(f802,definition,
    ( spl0_95
  <=> c0_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_52
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f283,f802,f573]) ).

fof(f812,definition,
    ( spl0_97
  <=> c0_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ spl0_37
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f104,f812,f499]) ).

fof(f827,definition,
    ( spl0_100
  <=> c3_1(a1356) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f829,plain,
    ( ~ c3_1(a1356)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( spl0_51
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f279,f827,f565]) ).

fof(f857,definition,
    ( spl0_106
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f866,definition,
    ( spl0_108
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f870,definition,
    ( spl0_109
  <=> c3_1(a1411) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f94,f870,f866]) ).

fof(f875,definition,
    ( spl0_110
  <=> c2_1(a1411) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f877,plain,
    ( c2_1(a1411)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( ~ spl0_108
    | spl0_110 ),
    inference(avatar_split_clause,[],[f273,f875,f866]) ).

fof(f880,definition,
    ( spl0_111
  <=> c3_1(a1308) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f883,plain,
    ( spl0_111
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f92,f613,f880]) ).

fof(f885,definition,
    ( spl0_112
  <=> c3_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_112
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f91,f593,f885]) ).

fof(f890,definition,
    ( spl0_113
  <=> c1_1(a1309) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f893,plain,
    ( spl0_113
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f90,f593,f890]) ).

fof(f905,definition,
    ( spl0_116
  <=> c0_1(a1312) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f908,plain,
    ( spl0_116
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f87,f512,f905]) ).

fof(f910,definition,
    ( spl0_117
  <=> c1_1(a1314) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f913,plain,
    ( spl0_117
    | spl0_26 ),
    inference(avatar_split_clause,[],[f271,f452,f910]) ).

fof(f920,definition,
    ( spl0_119
  <=> c2_1(a1319) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f922,plain,
    ( ~ c2_1(a1319)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f923,plain,
    ( ~ spl0_119
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f270,f543,f920]) ).

fof(f925,definition,
    ( spl0_120
  <=> c2_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ c2_1(a1320)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f928,plain,
    ( ~ spl0_120
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f269,f538,f925]) ).

fof(f940,definition,
    ( spl0_123
  <=> c3_1(a1324) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f942,plain,
    ( c3_1(a1324)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_123
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f80,f457,f940]) ).

fof(f945,definition,
    ( spl0_124
  <=> c0_1(a1324) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f948,plain,
    ( spl0_124
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f79,f457,f945]) ).

fof(f950,definition,
    ( spl0_125
  <=> c3_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f952,plain,
    ( c3_1(a1325)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f953,plain,
    ( spl0_125
    | spl0_36 ),
    inference(avatar_split_clause,[],[f268,f492,f950]) ).

fof(f955,definition,
    ( spl0_126
  <=> c1_1(a1325) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f958,plain,
    ( spl0_126
    | spl0_36 ),
    inference(avatar_split_clause,[],[f267,f492,f955]) ).

fof(f960,definition,
    ( spl0_127
  <=> c0_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f963,plain,
    ( spl0_127
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f76,f504,f960]) ).

fof(f975,definition,
    ( spl0_130
  <=> c1_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f978,plain,
    ( spl0_130
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f73,f605,f975]) ).

fof(f990,definition,
    ( spl0_133
  <=> c1_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f993,plain,
    ( spl0_133
    | spl0_52 ),
    inference(avatar_split_clause,[],[f263,f573,f990]) ).

fof(f995,definition,
    ( spl0_134
  <=> c1_1(a1344) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f998,plain,
    ( spl0_134
    | spl0_61 ),
    inference(avatar_split_clause,[],[f262,f622,f995]) ).

fof(f1000,definition,
    ( spl0_135
  <=> c0_1(a1344) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1003,plain,
    ( spl0_135
    | spl0_61 ),
    inference(avatar_split_clause,[],[f261,f622,f1000]) ).

fof(f1005,definition,
    ( spl0_136
  <=> c2_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c2_1(a1348)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1008,plain,
    ( ~ spl0_136
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f260,f499,f1005]) ).

fof(f1010,definition,
    ( spl0_137
  <=> c1_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1013,plain,
    ( spl0_137
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f66,f499,f1010]) ).

fof(f1020,definition,
    ( spl0_139
  <=> c1_1(a1356) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1023,plain,
    ( spl0_139
    | spl0_51 ),
    inference(avatar_split_clause,[],[f258,f565,f1020]) ).

fof(f1025,definition,
    ( spl0_140
  <=> c0_1(a1356) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1028,plain,
    ( spl0_140
    | spl0_51 ),
    inference(avatar_split_clause,[],[f257,f565,f1025]) ).

fof(f1035,definition,
    ( spl0_142
  <=> c2_1(a1394) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1037,plain,
    ( ~ c2_1(a1394)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( ~ spl0_142
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f255,f857,f1035]) ).

fof(f1040,definition,
    ( spl0_143
  <=> c0_1(a1394) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1043,plain,
    ( spl0_143
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f60,f857,f1040]) ).

fof(f1045,definition,
    ( spl0_144
  <=> c0_1(a1411) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1048,plain,
    ( spl0_144
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f59,f866,f1045]) ).

fof(f1050,definition,
    ( spl0_145
  <=> c2_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1052,plain,
    ( ~ c2_1(a1307)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f1053,plain,
    ( ~ spl0_145
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f254,f465,f1050]) ).

fof(f1055,definition,
    ( spl0_146
  <=> c1_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1058,plain,
    ( spl0_146
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f57,f465,f1055]) ).

fof(f1060,definition,
    ( spl0_147
  <=> c0_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1063,plain,
    ( spl0_147
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f56,f465,f1060]) ).

fof(f1065,definition,
    ( spl0_148
  <=> c3_1(a1328) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1067,plain,
    ( c3_1(a1328)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1068,plain,
    ( spl0_148
    | spl0_34 ),
    inference(avatar_split_clause,[],[f253,f484,f1065]) ).

fof(f1070,definition,
    ( spl0_149
  <=> c2_1(a1328) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1072,plain,
    ( ~ c2_1(a1328)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1070]) ).

fof(f1073,plain,
    ( ~ spl0_149
    | spl0_34 ),
    inference(avatar_split_clause,[],[f252,f484,f1070]) ).

fof(f1075,definition,
    ( spl0_150
  <=> c0_1(a1328) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1078,plain,
    ( spl0_150
    | spl0_34 ),
    inference(avatar_split_clause,[],[f251,f484,f1075]) ).

fof(f1080,definition,
    ( spl0_151
  <=> c3_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1082,plain,
    ( c3_1(a1338)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1083,plain,
    ( spl0_151
    | spl0_19 ),
    inference(avatar_split_clause,[],[f250,f426,f1080]) ).

fof(f1085,definition,
    ( spl0_152
  <=> c2_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1087,plain,
    ( ~ c2_1(a1338)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f1088,plain,
    ( ~ spl0_152
    | spl0_19 ),
    inference(avatar_split_clause,[],[f249,f426,f1085]) ).

fof(f1090,definition,
    ( spl0_153
  <=> c1_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1093,plain,
    ( spl0_153
    | spl0_19 ),
    inference(avatar_split_clause,[],[f248,f426,f1090]) ).

fof(f1110,plain,
    ( spl0_58
    | ~ spl0_26
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f243,f573,f452,f605]) ).

fof(f1112,plain,
    ( spl0_37
    | ~ spl0_19
    | spl0_108 ),
    inference(avatar_split_clause,[],[f241,f866,f426,f499]) ).

fof(f1117,plain,
    ( ~ spl0_41
    | spl0_59
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f238,f484,f613,f517]) ).

fof(f1118,plain,
    ( spl0_38
    | spl0_106
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f237,f484,f857,f504]) ).

fof(f1119,plain,
    ( spl0_46
    | spl0_38
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f236,f622,f504,f538]) ).

fof(f1120,plain,
    ( spl0_46
    | spl0_56
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f235,f577,f593,f538]) ).

fof(f1121,plain,
    ( ~ spl0_52
    | spl0_38
    | spl0_29 ),
    inference(avatar_split_clause,[],[f234,f465,f504,f573]) ).

fof(f1124,plain,
    ( ~ spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f231,f593,f369]) ).

fof(f1131,plain,
    ( ~ spl0_3
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f224,f538,f369]) ).

fof(f1152,plain,
    ( ~ spl0_3
    | spl0_53 ),
    inference(avatar_split_clause,[],[f203,f577,f369]) ).

fof(f1153,plain,
    ( ~ spl0_52
    | spl0_37 ),
    inference(avatar_split_clause,[],[f202,f499,f573]) ).

fof(f1154,plain,
    ( ~ spl0_36
    | spl0_108 ),
    inference(avatar_split_clause,[],[f201,f866,f492]) ).

fof(f1155,plain,
    ( c0_1(a1338)
    | ~ c3_1(a1338)
    | ~ spl0_2
    | spl0_152 ),
    inference(resolution,[],[f367,f1087]) ).

fof(f1162,plain,
    ( c0_1(a1348)
    | ~ c3_1(a1348)
    | ~ spl0_2
    | spl0_136 ),
    inference(resolution,[],[f367,f1007]) ).

fof(f1169,plain,
    ( c0_1(a1320)
    | ~ c3_1(a1320)
    | ~ spl0_2
    | spl0_120 ),
    inference(resolution,[],[f367,f927]) ).

fof(f1187,definition,
    ( spl0_159
  <=> c3_1(a1320) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1188,plain,
    ( c3_1(a1320)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1192,definition,
    ( spl0_160
  <=> c3_1(a1339) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1193,plain,
    ( c3_1(a1339)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1194,plain,
    ( ~ c3_1(a1339)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1197,definition,
    ( spl0_161
  <=> c3_1(a1344) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1198,plain,
    ( c3_1(a1344)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1199,plain,
    ( ~ c3_1(a1344)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1202,definition,
    ( spl0_162
  <=> c3_1(a1348) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1204,plain,
    ( ~ c3_1(a1348)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1207,definition,
    ( spl0_163
  <=> c3_1(a1307) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1208,plain,
    ( c3_1(a1307)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1209,plain,
    ( ~ c3_1(a1307)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1212,plain,
    ( ~ c3_1(a1330)
    | c1_1(a1330)
    | ~ spl0_5
    | ~ spl0_88 ),
    inference(resolution,[],[f378,f769]) ).

fof(f1217,definition,
    ( spl0_164
  <=> c3_1(a1330) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1221,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(resolution,[],[f388,f378]) ).

fof(f1223,plain,
    ( c1_1(a1328)
    | ~ c0_1(a1328)
    | ~ spl0_8
    | spl0_149 ),
    inference(resolution,[],[f388,f1072]) ).

fof(f1226,plain,
    ( c1_1(a1394)
    | ~ c0_1(a1394)
    | ~ spl0_8
    | spl0_142 ),
    inference(resolution,[],[f388,f1037]) ).

fof(f1243,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f1221]) ).

fof(f1265,definition,
    ( spl0_169
  <=> c0_1(a1333) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1275,definition,
    ( spl0_171
  <=> c0_1(a1338) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1279,plain,
    ( spl0_11
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1243,f387,f377,f397]) ).

fof(f1283,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(resolution,[],[f392,f367]) ).

fof(f1284,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1283]) ).

fof(f1285,plain,
    ( c0_1(a1325)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(resolution,[],[f1284,f952]) ).

fof(f1286,plain,
    ( spl0_84
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1285,f950,f391,f366,f747]) ).

fof(f1287,plain,
    ( c0_1(a1325)
    | ~ c1_1(a1325)
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(resolution,[],[f395,f952]) ).

fof(f1291,plain,
    ( c3_1(a1330)
    | ~ c0_1(a1330)
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(resolution,[],[f402,f769]) ).

fof(f1297,definition,
    ( spl0_172
  <=> c1_1(a1394) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1310,plain,
    ( c0_1(a1316)
    | c1_1(a1316)
    | ~ spl0_13
    | ~ spl0_76 ),
    inference(resolution,[],[f406,f709]) ).

fof(f1311,plain,
    ( c0_1(a1306)
    | c1_1(a1306)
    | ~ spl0_13
    | ~ spl0_62 ),
    inference(resolution,[],[f406,f639]) ).

fof(f1313,plain,
    ( spl0_63
    | spl0_64
    | ~ spl0_13
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1311,f637,f405,f647,f642]) ).

fof(f1315,definition,
    ( spl0_173
  <=> c1_1(a1316) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1318,plain,
    ( spl0_173
    | spl0_77
    | ~ spl0_13
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1310,f707,f405,f712,f1315]) ).

fof(f1342,plain,
    ( c3_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_7
    | spl0_145 ),
    inference(resolution,[],[f384,f1052]) ).

fof(f1379,definition,
    ( spl0_178
  <=> c1_1(a1328) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1386,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_6
    | spl0_163 ),
    inference(resolution,[],[f381,f1209]) ).

fof(f1393,plain,
    ( ~ c0_1(a1344)
    | ~ c1_1(a1344)
    | ~ spl0_6
    | spl0_161 ),
    inference(resolution,[],[f381,f1199]) ).

fof(f1420,plain,
    ( ~ spl0_146
    | spl0_163
    | ~ spl0_7
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1342,f1050,f383,f1207,f1055]) ).

fof(f1424,plain,
    ( ~ spl0_150
    | spl0_178
    | ~ spl0_8
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1223,f1070,f387,f1379,f1075]) ).

fof(f1439,plain,
    ( c3_1(a1320)
    | c0_1(a1320)
    | ~ spl0_1
    | spl0_120 ),
    inference(resolution,[],[f364,f927]) ).

fof(f1440,plain,
    ( c3_1(a1319)
    | c0_1(a1319)
    | ~ spl0_1
    | spl0_119 ),
    inference(resolution,[],[f364,f922]) ).

fof(f1448,plain,
    ( spl0_79
    | spl0_78
    | ~ spl0_1
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1440,f920,f363,f717,f722]) ).

fof(f1459,plain,
    ( ~ spl0_134
    | ~ spl0_135
    | ~ spl0_6
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1393,f1197,f380,f1000,f995]) ).

fof(f1495,plain,
    ( ~ c0_1(a1356)
    | ~ c1_1(a1356)
    | ~ spl0_6
    | spl0_100 ),
    inference(resolution,[],[f381,f829]) ).

fof(f1498,plain,
    ( ~ c0_1(a1333)
    | ~ c1_1(a1333)
    | ~ spl0_6
    | spl0_91 ),
    inference(resolution,[],[f381,f784]) ).

fof(f1514,plain,
    ( c3_1(a1348)
    | ~ c1_1(a1348)
    | ~ spl0_7
    | spl0_136 ),
    inference(resolution,[],[f384,f1007]) ).

fof(f1519,plain,
    ( c1_1(a1328)
    | ~ c0_1(a1328)
    | ~ spl0_11
    | ~ spl0_148 ),
    inference(resolution,[],[f398,f1067]) ).

fof(f1540,plain,
    ( c3_1(a1411)
    | ~ c0_1(a1411)
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(resolution,[],[f402,f877]) ).

fof(f1546,plain,
    ( c3_1(a1333)
    | ~ c0_1(a1333)
    | ~ spl0_12
    | ~ spl0_92 ),
    inference(resolution,[],[f402,f789]) ).

fof(f1579,plain,
    ( c3_1(a1326)
    | c1_1(a1326)
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(resolution,[],[f413,f759]) ).

fof(f1580,plain,
    ( c3_1(a1316)
    | c1_1(a1316)
    | ~ spl0_15
    | ~ spl0_76 ),
    inference(resolution,[],[f413,f709]) ).

fof(f1590,plain,
    ( ~ c1_1(a1339)
    | c0_1(a1339)
    | ~ spl0_16
    | spl0_160 ),
    inference(resolution,[],[f416,f1194]) ).

fof(f1591,plain,
    ( ~ c1_1(a1333)
    | c0_1(a1333)
    | ~ spl0_16
    | spl0_91 ),
    inference(resolution,[],[f416,f784]) ).

fof(f1601,plain,
    ( ~ c1_1(a1316)
    | c0_1(a1316)
    | ~ spl0_16
    | spl0_75 ),
    inference(resolution,[],[f416,f704]) ).

fof(f1609,plain,
    ( spl0_95
    | ~ spl0_133
    | ~ spl0_16
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1590,f1192,f415,f990,f802]) ).

fof(f1612,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(resolution,[],[f420,f364]) ).

fof(f1613,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(resolution,[],[f420,f367]) ).

fof(f1617,plain,
    ( ~ c1_1(a1339)
    | c0_1(a1339)
    | ~ spl0_17
    | ~ spl0_94 ),
    inference(resolution,[],[f420,f799]) ).

fof(f1619,plain,
    ( ~ c1_1(a1333)
    | c0_1(a1333)
    | ~ spl0_17
    | ~ spl0_92 ),
    inference(resolution,[],[f420,f789]) ).

fof(f1626,plain,
    ( ~ c1_1(a1316)
    | c0_1(a1316)
    | ~ spl0_17
    | ~ spl0_76 ),
    inference(resolution,[],[f420,f709]) ).

fof(f1627,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1613]) ).

fof(f1628,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1612]) ).

fof(f1630,plain,
    ( spl0_77
    | ~ spl0_173
    | ~ spl0_17
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1626,f707,f419,f1315,f712]) ).

fof(f1637,plain,
    ( spl0_169
    | ~ spl0_130
    | ~ spl0_17
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1619,f787,f419,f975,f1265]) ).

fof(f1639,plain,
    ( spl0_95
    | ~ spl0_133
    | ~ spl0_17
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1617,f797,f419,f990,f802]) ).

fof(f1642,plain,
    ( spl0_10
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1627,f419,f366,f394]) ).

fof(f1643,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1628,f419,f363,f415]) ).

fof(f1645,plain,
    ( spl0_169
    | ~ spl0_130
    | ~ spl0_16
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1591,f782,f415,f975,f1265]) ).

fof(f1651,plain,
    ( ~ spl0_130
    | ~ spl0_169
    | ~ spl0_6
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1498,f782,f380,f1265,f975]) ).

fof(f1652,plain,
    ( ~ spl0_169
    | spl0_91
    | ~ spl0_12
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1546,f787,f401,f782,f1265]) ).

fof(f1679,plain,
    ( ~ c1_1(a1348)
    | c0_1(a1348)
    | ~ spl0_16
    | spl0_162 ),
    inference(resolution,[],[f416,f1204]) ).

fof(f1683,plain,
    ( ~ c1_1(a1314)
    | c0_1(a1314)
    | ~ spl0_16
    | spl0_71 ),
    inference(resolution,[],[f416,f684]) ).

fof(f1689,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(resolution,[],[f423,f384]) ).

fof(f1690,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(resolution,[],[f423,f364]) ).

fof(f1703,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1690]) ).

fof(f1704,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1689]) ).

fof(f1710,plain,
    ( ~ c1_1(a1348)
    | ~ spl0_7
    | ~ spl0_18
    | spl0_162 ),
    inference(resolution,[],[f1704,f1204]) ).

fof(f1724,plain,
    ( ~ c3_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_20
    | spl0_152 ),
    inference(resolution,[],[f431,f1087]) ).

fof(f1729,plain,
    ( ~ c3_1(a1348)
    | ~ c1_1(a1348)
    | ~ spl0_20
    | spl0_136 ),
    inference(resolution,[],[f431,f1007]) ).

fof(f1740,plain,
    ( ~ spl0_153
    | ~ spl0_151
    | ~ spl0_20
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1724,f1085,f430,f1080,f1090]) ).

fof(f1744,plain,
    ( c1_1(a1324)
    | ~ c0_1(a1324)
    | ~ spl0_11
    | ~ spl0_123 ),
    inference(resolution,[],[f942,f398]) ).

fof(f1745,plain,
    ( ~ spl0_124
    | spl0_83
    | ~ spl0_11
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1744,f940,f397,f742,f945]) ).

fof(f1764,plain,
    ( ~ spl0_137
    | spl0_162
    | ~ spl0_7
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1514,f1005,f383,f1202,f1010]) ).

fof(f1767,plain,
    ( ~ spl0_137
    | ~ spl0_7
    | ~ spl0_18
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1710,f1202,f422,f383,f1010]) ).

fof(f1775,plain,
    ( ~ spl0_126
    | spl0_84
    | ~ spl0_10
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1287,f950,f394,f747,f955]) ).

fof(f1778,plain,
    ( spl0_77
    | ~ spl0_173
    | ~ spl0_16
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1601,f702,f415,f1315,f712]) ).

fof(f1829,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(resolution,[],[f374,f1082]) ).

fof(f1830,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(resolution,[],[f374,f1067]) ).

fof(f1831,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_4
    | ~ spl0_163 ),
    inference(resolution,[],[f374,f1208]) ).

fof(f1836,plain,
    ( ~ c0_1(a1344)
    | ~ c1_1(a1344)
    | ~ spl0_4
    | ~ spl0_161 ),
    inference(resolution,[],[f374,f1198]) ).

fof(f1864,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_4
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1831,f1207,f373,f1060,f1055]) ).

fof(f1894,plain,
    ( c0_1(a1339)
    | ~ c1_1(a1339)
    | ~ spl0_10
    | ~ spl0_160 ),
    inference(resolution,[],[f395,f1193]) ).

fof(f1919,plain,
    ( ~ spl0_133
    | spl0_95
    | ~ spl0_10
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1894,f1192,f394,f802,f990]) ).

fof(f1932,plain,
    ( c0_1(a1339)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_160 ),
    inference(resolution,[],[f1284,f1193]) ).

fof(f1956,plain,
    ( spl0_95
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1932,f1192,f391,f366,f802]) ).

fof(f1966,plain,
    ( spl0_89
    | ~ spl0_164
    | ~ spl0_5
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1212,f767,f377,f1217,f772]) ).

fof(f1969,plain,
    ( ~ spl0_150
    | spl0_178
    | ~ spl0_11
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1519,f1065,f397,f1379,f1075]) ).

fof(f1979,plain,
    ( ~ spl0_162
    | spl0_97
    | ~ spl0_2
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1162,f1005,f366,f812,f1202]) ).

fof(f1980,plain,
    ( ~ spl0_137
    | ~ spl0_162
    | ~ spl0_20
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1729,f1005,f430,f1202,f1010]) ).

fof(f1982,plain,
    ( ~ spl0_143
    | spl0_172
    | ~ spl0_8
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1226,f1035,f387,f1297,f1040]) ).

fof(f1985,plain,
    ( spl0_97
    | ~ spl0_137
    | ~ spl0_16
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1679,f1202,f415,f1010,f812]) ).

fof(f1991,plain,
    ( ~ spl0_159
    | spl0_81
    | ~ spl0_2
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1169,f925,f366,f732,f1187]) ).

fof(f1992,plain,
    ( ~ spl0_151
    | spl0_171
    | ~ spl0_2
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1155,f1085,f366,f1275,f1080]) ).

fof(f1993,plain,
    ( spl0_173
    | spl0_75
    | ~ spl0_15
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1580,f707,f412,f702,f1315]) ).

fof(f2030,plain,
    ( ~ c3_1(a1308)
    | c1_1(a1308)
    | ~ spl0_5
    | ~ spl0_65 ),
    inference(resolution,[],[f378,f654]) ).

fof(f2036,plain,
    ( spl0_66
    | ~ spl0_111
    | ~ spl0_5
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2030,f652,f377,f880,f657]) ).

fof(f2051,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(resolution,[],[f409,f367]) ).

fof(f2053,plain,
    ( ~ c1_1(a1339)
    | ~ c3_1(a1339)
    | ~ spl0_14
    | ~ spl0_94 ),
    inference(resolution,[],[f409,f799]) ).

fof(f2058,plain,
    ( ~ c1_1(a1309)
    | ~ c3_1(a1309)
    | ~ spl0_14
    | ~ spl0_67 ),
    inference(resolution,[],[f409,f664]) ).

fof(f2062,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f2051]) ).

fof(f2065,plain,
    ( ~ spl0_112
    | ~ spl0_113
    | ~ spl0_14
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2058,f662,f408,f890,f885]) ).

fof(f2070,plain,
    ( ~ spl0_160
    | ~ spl0_133
    | ~ spl0_14
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2053,f797,f408,f990,f1192]) ).

fof(f2072,plain,
    ( spl0_10
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2062,f408,f366,f394]) ).

fof(f2097,plain,
    ( c3_1(a1326)
    | c1_1(a1326)
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(resolution,[],[f413,f759]) ).

fof(f2107,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_22
    | spl0_149 ),
    inference(resolution,[],[f439,f1072]) ).

fof(f2108,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_22
    | spl0_145 ),
    inference(resolution,[],[f439,f1052]) ).

fof(f2110,plain,
    ( ~ c0_1(a1394)
    | ~ c1_1(a1394)
    | ~ spl0_22
    | spl0_142 ),
    inference(resolution,[],[f439,f1037]) ).

fof(f2123,plain,
    ( ~ spl0_172
    | ~ spl0_143
    | ~ spl0_22
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2110,f1035,f438,f1040,f1297]) ).

fof(f2124,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_22
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2108,f1050,f438,f1060,f1055]) ).

fof(f2125,plain,
    ( ~ spl0_178
    | ~ spl0_150
    | ~ spl0_22
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2107,f1070,f438,f1075,f1379]) ).

fof(f2134,plain,
    ( spl0_81
    | spl0_159
    | ~ spl0_1
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1439,f925,f363,f1187,f732]) ).

fof(f2136,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1703,f422,f363,f415]) ).

fof(f2137,plain,
    ( ~ spl0_153
    | ~ spl0_171
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1829,f1080,f373,f1275,f1090]) ).

fof(f2138,plain,
    ( ~ spl0_178
    | ~ spl0_150
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1830,f1065,f373,f1075,f1379]) ).

fof(f2139,plain,
    ( ~ spl0_134
    | ~ spl0_135
    | ~ spl0_4
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1836,f1197,f373,f1000,f995]) ).

fof(f2143,plain,
    ( ~ spl0_146
    | ~ spl0_147
    | ~ spl0_6
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1386,f1207,f380,f1060,f1055]) ).

fof(f2149,plain,
    ( ~ spl0_139
    | ~ spl0_140
    | ~ spl0_6
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1495,f827,f380,f1025,f1020]) ).

fof(f2154,plain,
    ( spl0_72
    | ~ spl0_117
    | ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1683,f682,f415,f910,f687]) ).

fof(f2156,plain,
    ( spl0_87
    | spl0_85
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1579,f757,f412,f752,f762]) ).

fof(f2157,plain,
    ( spl0_87
    | spl0_85
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2097,f757,f412,f752,f762]) ).

fof(f2241,plain,
    ( ~ c3_1(a1339)
    | c0_1(a1339)
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(resolution,[],[f392,f799]) ).

fof(f2257,plain,
    ( spl0_95
    | ~ spl0_160
    | ~ spl0_9
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2241,f797,f391,f1192,f802]) ).

fof(f2261,plain,
    ( ~ spl0_127
    | spl0_164
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1291,f767,f401,f1217,f960]) ).

fof(f2263,plain,
    ( ~ spl0_144
    | spl0_109
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1540,f875,f401,f870,f1045]) ).

fof(f2429,plain,
    ( c1_1(a1328)
    | ~ c3_1(a1328)
    | ~ spl0_30
    | spl0_149 ),
    inference(resolution,[],[f470,f1072]) ).

fof(f2443,plain,
    ( ~ spl0_148
    | spl0_178
    | ~ spl0_30
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2429,f1070,f469,f1379,f1065]) ).

fof(f2447,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(resolution,[],[f473,f439]) ).

fof(f2460,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f2447]) ).

fof(f2464,plain,
    ( spl0_4
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2460,f472,f438,f373]) ).

fof(f2516,plain,
    ( ~ c0_1(a1330)
    | c1_1(a1330)
    | ~ spl0_39
    | ~ spl0_88 ),
    inference(resolution,[],[f509,f769]) ).

fof(f2525,plain,
    ( spl0_89
    | ~ spl0_127
    | ~ spl0_39
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2516,f767,f508,f960,f772]) ).

fof(f2541,plain,
    ( c1_1(a1320)
    | c0_1(a1320)
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(resolution,[],[f522,f1188]) ).

fof(f2547,plain,
    ( spl0_81
    | spl0_80
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2541,f1187,f521,f727,f732]) ).

fof(f2555,plain,
    ( ~ c0_1(a1312)
    | c1_1(a1312)
    | ~ spl0_44
    | spl0_69 ),
    inference(resolution,[],[f530,f674]) ).

fof(f2560,plain,
    ( spl0_70
    | ~ spl0_116
    | ~ spl0_44
    | spl0_69 ),
    inference(avatar_split_clause,[],[f2555,f672,f529,f905,f677]) ).

fof(f2588,plain,
    ( c3_1(a1333)
    | c0_1(a1333)
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(resolution,[],[f548,f789]) ).

fof(f2594,plain,
    ( c3_1(a1316)
    | c0_1(a1316)
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(resolution,[],[f548,f709]) ).

fof(f2599,plain,
    ( spl0_77
    | spl0_75
    | ~ spl0_48
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2594,f707,f547,f702,f712]) ).

fof(f2602,plain,
    ( spl0_169
    | spl0_91
    | ~ spl0_48
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2588,f787,f547,f782,f1265]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_8 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_5
    | spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_6
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_6
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s12,plain,
    ( spl0_3
    | spl0_4
    | spl0_7
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_16
    | spl0_22
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_6
    | spl0_12
    | spl0_29 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s22,plain,
    ( spl0_1
    | spl0_3
    | spl0_10
    | spl0_40 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_9
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_16
    | spl0_17
    | spl0_46 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s27,plain,
    ( spl0_2
    | spl0_3
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_15
    | spl0_17
    | spl0_27 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s31,plain,
    ( spl0_3
    | spl0_12
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s34,plain,
    ( spl0_3
    | spl0_20
    | spl0_27
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_22
    | spl0_45 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s40,plain,
    ( spl0_3
    | spl0_6
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s44,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s48,plain,
    ( spl0_3
    | spl0_18
    | spl0_38
    | spl0_58 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s53,plain,
    ( spl0_3
    | spl0_39
    | ~ spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s54,plain,
    ( spl0_3
    | ~ spl0_19
    | spl0_39
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s58,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s60,plain,
    ( spl0_3
    | spl0_13
    | spl0_56
    | spl0_59 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s61,plain,
    ( spl0_3
    | spl0_13
    | spl0_29
    | spl0_59 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s62,plain,
    ( spl0_32
    | spl0_62 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s63,plain,
    ( spl0_32
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s64,plain,
    ( spl0_32
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s65,plain,
    ( ~ spl0_59
    | spl0_65 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s66,plain,
    ( ~ spl0_59
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s67,plain,
    ( ~ spl0_56
    | spl0_67 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s69,plain,
    ( ~ spl0_40
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s70,plain,
    ( ~ spl0_40
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s71,plain,
    ( spl0_26
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s72,plain,
    ( spl0_26
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s75,plain,
    ( spl0_41
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s76,plain,
    ( spl0_41
    | spl0_76 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s77,plain,
    ( spl0_41
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s78,plain,
    ( ~ spl0_47
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s79,plain,
    ( ~ spl0_47
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s80,plain,
    ( ~ spl0_46
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s81,plain,
    ( ~ spl0_46
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s83,plain,
    ( ~ spl0_27
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s84,plain,
    ( spl0_36
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s85,plain,
    ( ~ spl0_45
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s86,plain,
    ( ~ spl0_45
    | spl0_86 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s87,plain,
    ( ~ spl0_45
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s88,plain,
    ( ~ spl0_38
    | spl0_88 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s89,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s91,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s92,plain,
    ( ~ spl0_58
    | spl0_92 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s94,plain,
    ( spl0_52
    | spl0_94 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s95,plain,
    ( spl0_52
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s97,plain,
    ( ~ spl0_37
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s100,plain,
    ( spl0_51
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s107,plain,
    ( ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s108,plain,
    ( ~ spl0_108
    | spl0_110 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s109,plain,
    ( ~ spl0_59
    | spl0_111 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s110,plain,
    ( ~ spl0_56
    | spl0_112 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s111,plain,
    ( ~ spl0_56
    | spl0_113 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s114,plain,
    ( ~ spl0_40
    | spl0_116 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s115,plain,
    ( spl0_26
    | spl0_117 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s117,plain,
    ( ~ spl0_47
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s118,plain,
    ( ~ spl0_46
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s121,plain,
    ( ~ spl0_27
    | spl0_123 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s122,plain,
    ( ~ spl0_27
    | spl0_124 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s123,plain,
    ( spl0_36
    | spl0_125 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s124,plain,
    ( spl0_36
    | spl0_126 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s125,plain,
    ( ~ spl0_38
    | spl0_127 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s128,plain,
    ( ~ spl0_58
    | spl0_130 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s131,plain,
    ( spl0_52
    | spl0_133 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s132,plain,
    ( spl0_61
    | spl0_134 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s133,plain,
    ( spl0_61
    | spl0_135 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s134,plain,
    ( ~ spl0_37
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s135,plain,
    ( ~ spl0_37
    | spl0_137 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s137,plain,
    ( spl0_51
    | spl0_139 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s138,plain,
    ( spl0_51
    | spl0_140 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s140,plain,
    ( ~ spl0_106
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s141,plain,
    ( ~ spl0_106
    | spl0_143 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s142,plain,
    ( ~ spl0_108
    | spl0_144 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s143,plain,
    ( ~ spl0_29
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s144,plain,
    ( ~ spl0_29
    | spl0_146 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s145,plain,
    ( ~ spl0_29
    | spl0_147 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s146,plain,
    ( spl0_34
    | spl0_148 ),
    inference(sat_conversion,[],[f1068]) ).

cnf(s147,plain,
    ( spl0_34
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s148,plain,
    ( spl0_34
    | spl0_150 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s149,plain,
    ( spl0_19
    | spl0_151 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s150,plain,
    ( spl0_19
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s151,plain,
    ( spl0_19
    | spl0_153 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s156,plain,
    ( ~ spl0_26
    | ~ spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s158,plain,
    ( ~ spl0_19
    | spl0_37
    | spl0_108 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s163,plain,
    ( ~ spl0_34
    | ~ spl0_41
    | spl0_59 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s164,plain,
    ( ~ spl0_34
    | spl0_38
    | spl0_106 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s165,plain,
    ( spl0_38
    | spl0_46
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s166,plain,
    ( spl0_46
    | ~ spl0_53
    | spl0_56 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s167,plain,
    ( spl0_29
    | spl0_38
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s170,plain,
    ( ~ spl0_3
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s177,plain,
    ( ~ spl0_3
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s198,plain,
    ( ~ spl0_3
    | spl0_53 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s199,plain,
    ( spl0_37
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s200,plain,
    ( ~ spl0_36
    | spl0_108 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s217,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(sat_conversion,[],[f1279]) ).

cnf(s218,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_84
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1286]) ).

cnf(s223,plain,
    ( ~ spl0_13
    | ~ spl0_62
    | spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f1313]) ).

cnf(s224,plain,
    ( ~ spl0_13
    | ~ spl0_76
    | spl0_77
    | spl0_173 ),
    inference(sat_conversion,[],[f1318]) ).

cnf(s246,plain,
    ( ~ spl0_7
    | spl0_145
    | ~ spl0_146
    | spl0_163 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s250,plain,
    ( ~ spl0_8
    | spl0_149
    | ~ spl0_150
    | spl0_178 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s254,plain,
    ( ~ spl0_1
    | spl0_78
    | spl0_79
    | spl0_119 ),
    inference(sat_conversion,[],[f1448]) ).

cnf(s265,plain,
    ( ~ spl0_6
    | ~ spl0_134
    | ~ spl0_135
    | spl0_161 ),
    inference(sat_conversion,[],[f1459]) ).

cnf(s293,plain,
    ( ~ spl0_16
    | spl0_95
    | ~ spl0_133
    | spl0_160 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s295,plain,
    ( ~ spl0_17
    | ~ spl0_76
    | spl0_77
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1630]) ).

cnf(s302,plain,
    ( ~ spl0_17
    | ~ spl0_92
    | ~ spl0_130
    | spl0_169 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s304,plain,
    ( ~ spl0_17
    | ~ spl0_94
    | spl0_95
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1639]) ).

cnf(s307,plain,
    ( ~ spl0_2
    | spl0_10
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1642]) ).

cnf(s308,plain,
    ( ~ spl0_1
    | spl0_16
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1643]) ).

cnf(s310,plain,
    ( ~ spl0_16
    | spl0_91
    | ~ spl0_130
    | spl0_169 ),
    inference(sat_conversion,[],[f1645]) ).

cnf(s316,plain,
    ( ~ spl0_6
    | spl0_91
    | ~ spl0_130
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s317,plain,
    ( ~ spl0_12
    | spl0_91
    | ~ spl0_92
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1652]) ).

cnf(s331,plain,
    ( ~ spl0_20
    | ~ spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s335,plain,
    ( ~ spl0_11
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s351,plain,
    ( ~ spl0_7
    | spl0_136
    | ~ spl0_137
    | spl0_162 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s354,plain,
    ( ~ spl0_7
    | ~ spl0_18
    | ~ spl0_137
    | spl0_162 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s362,plain,
    ( ~ spl0_10
    | spl0_84
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s365,plain,
    ( ~ spl0_16
    | spl0_75
    | spl0_77
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s390,plain,
    ( ~ spl0_4
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s398,plain,
    ( ~ spl0_10
    | spl0_95
    | ~ spl0_133
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s407,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_95
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1956]) ).

cnf(s417,plain,
    ( ~ spl0_5
    | ~ spl0_88
    | spl0_89
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s421,plain,
    ( ~ spl0_11
    | ~ spl0_148
    | ~ spl0_150
    | spl0_178 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s431,plain,
    ( ~ spl0_2
    | spl0_97
    | spl0_136
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s432,plain,
    ( ~ spl0_20
    | spl0_136
    | ~ spl0_137
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s434,plain,
    ( ~ spl0_8
    | spl0_142
    | ~ spl0_143
    | spl0_172 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s437,plain,
    ( ~ spl0_16
    | spl0_97
    | ~ spl0_137
    | spl0_162 ),
    inference(sat_conversion,[],[f1985]) ).

cnf(s443,plain,
    ( ~ spl0_2
    | spl0_81
    | spl0_120
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1991]) ).

cnf(s444,plain,
    ( ~ spl0_2
    | ~ spl0_151
    | spl0_152
    | spl0_171 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s445,plain,
    ( ~ spl0_15
    | spl0_75
    | ~ spl0_76
    | spl0_173 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s448,plain,
    ( ~ spl0_5
    | ~ spl0_65
    | spl0_66
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2036]) ).

cnf(s451,plain,
    ( ~ spl0_14
    | ~ spl0_67
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s456,plain,
    ( ~ spl0_14
    | ~ spl0_94
    | ~ spl0_133
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s458,plain,
    ( ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2072]) ).

cnf(s463,plain,
    ( ~ spl0_22
    | spl0_142
    | ~ spl0_143
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2123]) ).

cnf(s464,plain,
    ( ~ spl0_22
    | spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2124]) ).

cnf(s465,plain,
    ( ~ spl0_22
    | spl0_149
    | ~ spl0_150
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s474,plain,
    ( ~ spl0_1
    | spl0_81
    | spl0_120
    | spl0_159 ),
    inference(sat_conversion,[],[f2134]) ).

cnf(s476,plain,
    ( ~ spl0_1
    | spl0_16
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f2136]) ).

cnf(s477,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s478,plain,
    ( ~ spl0_4
    | ~ spl0_148
    | ~ spl0_150
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2138]) ).

cnf(s479,plain,
    ( ~ spl0_4
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s483,plain,
    ( ~ spl0_6
    | ~ spl0_146
    | ~ spl0_147
    | spl0_163 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s489,plain,
    ( ~ spl0_6
    | spl0_100
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2149]) ).

cnf(s494,plain,
    ( ~ spl0_16
    | spl0_71
    | spl0_72
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s496,plain,
    ( ~ spl0_15
    | spl0_85
    | ~ spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s497,plain,
    ( ~ spl0_15
    | spl0_85
    | ~ spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s509,plain,
    ( ~ spl0_9
    | ~ spl0_94
    | spl0_95
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s513,plain,
    ( ~ spl0_12
    | ~ spl0_88
    | ~ spl0_127
    | spl0_164 ),
    inference(sat_conversion,[],[f2261]) ).

cnf(s515,plain,
    ( ~ spl0_12
    | spl0_109
    | ~ spl0_110
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s541,plain,
    ( ~ spl0_30
    | ~ spl0_148
    | spl0_149
    | spl0_178 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s545,plain,
    ( spl0_4
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f2464]) ).

cnf(s558,plain,
    ( ~ spl0_39
    | ~ spl0_88
    | spl0_89
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2525]) ).

cnf(s560,plain,
    ( ~ spl0_42
    | spl0_80
    | spl0_81
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2547]) ).

cnf(s561,plain,
    ( ~ spl0_44
    | spl0_69
    | spl0_70
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2560]) ).

cnf(s571,plain,
    ( ~ spl0_48
    | spl0_75
    | ~ spl0_76
    | spl0_77 ),
    inference(sat_conversion,[],[f2599]) ).

cnf(s574,plain,
    ( ~ spl0_48
    | spl0_91
    | ~ spl0_92
    | spl0_169 ),
    inference(sat_conversion,[],[f2602]) ).

cnf(s578,plain,
    ( ~ spl0_29
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s246,s390,s143,s144,s145]) ).

cnf(s579,plain,
    ( ~ spl0_27
    | ~ spl0_11 ),
    inference(rat,[],[s335,s83,s121,s122]) ).

cnf(s580,plain,
    ( spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s494,s71,s72,s115]) ).

cnf(s581,plain,
    ( spl0_34
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s478,s250,s146,s147,s148]) ).

cnf(s582,plain,
    ( ~ spl0_150
    | ~ spl0_148
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s421,s478]) ).

cnf(s583,plain,
    ( spl0_52
    | ~ spl0_17 ),
    inference(rat,[],[s304,s94,s95,s131]) ).

cnf(s584,plain,
    ( spl0_10
    | spl0_9
    | ~ spl0_12
    | spl0_6
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s317,s302,s91,s92,s128,s156,s583,s580,s30,s579,s7,s497,s85,s86,s87,s25,s561,s69,s70,s114,s4,s22]) ).

cnf(s586,plain,
    ( spl0_52
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(rat,[],[s293,s398,s95,s131]) ).

cnf(s587,plain,
    ( ~ spl0_58
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(rat,[],[s310,s317,s91,s92,s128]) ).

cnf(s588,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_16
    | ~ spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s584,s509,s293,s586,s94,s95,s131,s156,s587,s19,s578,s2,s580]) ).

cnf(s589,plain,
    ( spl0_52
    | ~ spl0_16
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s497,s85,s86,s87,s25,s30,s561,s579,s69,s70,s114,s4,s22,s509,s293,s586,s583,s94,s95,s131]) ).

cnf(s591,plain,
    ( spl0_41
    | ~ spl0_48 ),
    inference(rat,[],[s571,s75,s76,s77]) ).

cnf(s592,plain,
    ( ~ spl0_59
    | ~ spl0_5 ),
    inference(rat,[],[s448,s65,s66,s109]) ).

cnf(s593,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s451,s67,s110,s111,s60,s6,s224,s295,s76,s77,s163,s592,s30,s496,s85,s86,s87,s35,s464,s579,s143,s144,s145,s217,s19,s588,s316,s310,s587,s91,s128,s156,s589,s580,s58,s581,s3,s1]) ).

cnf(s594,plain,
    ~ spl0_3,
    inference(rat,[],[s166,s170,s177,s198]) ).

cnf(s595,plain,
    ( ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s431,s437,s97,s134,s135,s199,s589,s593,s594]) ).

cnf(s597,plain,
    ( ~ spl0_29
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s483,s390,s144,s145]) ).

cnf(s598,plain,
    ( spl0_19
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s444,s477,s149,s150,s151]) ).

cnf(s599,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(rat,[],[s558,s88,s89,s125]) ).

cnf(s600,plain,
    ( ~ spl0_29
    | ~ spl0_4
    | spl0_16 ),
    inference(rat,[],[s497,s85,s86,s87,s35,s7,s464,s597,s143,s144,s145,s594]) ).

cnf(s601,plain,
    ( ~ spl0_52
    | spl0_29
    | ~ spl0_19 ),
    inference(rat,[],[s599,s167,s54,s594]) ).

cnf(s604,plain,
    ( spl0_36
    | spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s4,s218,s362,s84,s123,s124,s594]) ).

cnf(s605,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s592,s61,s5,s223,s515,s62,s63,s64,s107,s108,s142,s44,s200,s604,s600,s582,s581,s593,s148,s146,s58,s595,s594]) ).

cnf(s606,plain,
    ( spl0_22
    | spl0_1 ),
    inference(rat,[],[s30,s307,s579,s362,s497,s604,s84,s123,s124,s85,s86,s87,s17,s35,s593,s595,s594]) ).

cnf(s607,plain,
    spl0_1,
    inference(rat,[],[s464,s143,s144,s145,s14,s541,s545,s465,s606,s605,s146,s147,s148,s58,s595,s594]) ).

cnf(s608,plain,
    ~ spl0_47,
    inference(rat,[],[s254,s78,s79,s117,s607]) ).

cnf(s609,plain,
    ( spl0_81
    | ~ spl0_2
    | spl0_120 ),
    inference(rat,[],[s474,s443,s607]) ).

cnf(s610,plain,
    ( spl0_7
    | spl0_6 ),
    inference(rat,[],[s609,s81,s118,s31,s27,s591,s513,s53,s417,s599,s88,s89,s125,s40,s2,s608,s594]) ).

cnf(s611,plain,
    ( ~ spl0_29
    | ~ spl0_4 ),
    inference(rat,[],[s610,s597,s578]) ).

cnf(s616,plain,
    ( spl0_51
    | ~ spl0_6 ),
    inference(rat,[],[s489,s100,s137,s138]) ).

cnf(s618,plain,
    ( spl0_19
    | ~ spl0_20 ),
    inference(rat,[],[s331,s149,s150,s151]) ).

cnf(s619,plain,
    ( spl0_61
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s265,s479,s132,s133]) ).

cnf(s620,plain,
    ( ~ spl0_41
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(rat,[],[s560,s474,s80,s81,s118,s165,s619,s23,s456,s293,s94,s95,s131,s40,s167,s599,s53,s611,s607,s594,s608]) ).

cnf(s621,plain,
    ( ~ spl0_4
    | ~ spl0_16 ),
    inference(rat,[],[s4,s579,s407,s30,s293,s586,s583,s95,s131,s601,s598,s445,s27,s365,s591,s75,s76,s77,s620,s611,s594,s608]) ).

cnf(s622,plain,
    ( spl0_6
    | ~ spl0_16 ),
    inference(rat,[],[s431,s351,s97,s134,s135,s199,s586,s458,s6,s224,s27,s365,s591,s75,s76,s77,s53,s599,s40,s12,s621,s580,s594,s608]) ).

cnf(s623,plain,
    ( ~ spl0_58
    | ~ spl0_16 ),
    inference(rat,[],[s316,s310,s91,s128,s622]) ).

cnf(s625,plain,
    ( ~ spl0_106
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(rat,[],[s434,s463,s140,s141]) ).

cnf(s626,plain,
    ( spl0_34
    | ~ spl0_22
    | ~ spl0_11 ),
    inference(rat,[],[s465,s421,s146,s147,s148]) ).

cnf(s627,plain,
    ( ~ spl0_22
    | spl0_12
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(rat,[],[s5,s625,s592,s164,s163,s626,s599,s53,s594,s608]) ).

cnf(s628,plain,
    ( ~ spl0_45
    | ~ spl0_15 ),
    inference(rat,[],[s496,s85,s86,s87]) ).

cnf(s630,plain,
    ( ~ spl0_37
    | ~ spl0_18
    | ~ spl0_16 ),
    inference(rat,[],[s432,s354,s134,s135,s12,s621,s34,s579,s4,s509,s293,s131,s95,s94,s586,s156,s623,s580,s616,s622,s594]) ).

cnf(s631,plain,
    ( ~ spl0_41
    | ~ spl0_16 ),
    inference(rat,[],[s515,s107,s108,s142,s158,s630,s627,s48,s599,s53,s618,s34,s616,s622,s35,s628,s30,s579,s4,s509,s293,s131,s95,s94,s586,s583,s156,s623,s580,s594,s608]) ).

cnf(s632,plain,
    ~ spl0_16,
    inference(rat,[],[s445,s365,s75,s76,s77,s631,s30,s579,s4,s509,s293,s586,s583,s94,s95,s131,s156,s623,s580,s594]) ).

cnf(s634,plain,
    ~ spl0_18,
    inference(rat,[],[s476,s607,s632]) ).

cnf(s635,plain,
    ~ spl0_17,
    inference(rat,[],[s308,s607,s632]) ).

cnf(s640,plain,
    spl0_46,
    inference(rat,[],[s26,s632,s594,s635]) ).

cnf(s641,plain,
    ~ spl0_120,
    inference(rat,[],[s118,s640]) ).

cnf(s642,plain,
    ~ spl0_81,
    inference(rat,[],[s81,s640]) ).

cnf(s646,plain,
    ~ spl0_2,
    inference(rat,[],[s609,s641,s642]) ).

cnf(s649,plain,
    spl0_48,
    inference(rat,[],[s27,s594,s608,s646]) ).

cnf(s650,plain,
    spl0_41,
    inference(rat,[],[s591,s649]) ).

cnf(s651,plain,
    spl0_39,
    inference(rat,[],[s53,s608,s594,s650]) ).

cnf(s653,plain,
    ~ spl0_38,
    inference(rat,[],[s599,s651]) ).

cnf(s654,plain,
    spl0_6,
    inference(rat,[],[s40,s608,s594,s653]) ).

cnf(s655,plain,
    spl0_58,
    inference(rat,[],[s48,s634,s594,s653]) ).

cnf(s658,plain,
    spl0_130,
    inference(rat,[],[s128,s655]) ).

cnf(s659,plain,
    spl0_92,
    inference(rat,[],[s92,s655]) ).

cnf(s660,plain,
    ~ spl0_91,
    inference(rat,[],[s91,s655]) ).

cnf(s667,plain,
    ~ spl0_169,
    inference(rat,[],[s316,s660,s654,s658]) ).

cnf(s668,plain,
    $false,
    inference(rat,[],[s574,s649,s660,s659,s667]) ).

fof(f2606,plain,
    $false,
    inference(avatar_sat_refutation,[],[s668]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN478-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n013.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:14:09 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  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
% 0.20/0.31  % (1304355)Will run a generic schedule for satisfiability detection.
% 0.20/0.31  % (1304360)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2861364969_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31  % Detected minimum model sizes of [1]
% 0.20/0.31  % Detected maximum model sizes of [31]
% 0.20/0.31  % TRYING [1]
% 0.20/0.31  % TRYING [2]
% 0.20/0.31  % (1304361)% WARNING: option uhcvi not known.
% 0.20/0.31  % TRYING [3]
% 0.20/0.31  % (1304361)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2556735523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31  % TRYING [4]
% 0.20/0.31  % (1304362)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=610379204:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31  % (1304363)dis+10_1_sil=32000:sp=arity:random_seed=618731828:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31  % (1304364)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3004552076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31  % (1304365)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4270235127:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31  % (1304366)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3852173669:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31  % TRYING [5]
% 0.20/0.31  % (1304366) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1304355-1304366"...
% 0.20/0.31  % (1304366)...printing done.
% 0.20/0.31  % (1304363) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1304355-1304363"...
% 0.20/0.31  % (1304366)Refutation found. Thanks to Tanya!
% 0.20/0.31  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31  % (1304366)------------------------------
% 0.20/0.31  % (1304366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (1304366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (1304366)CaDiCaL version: 2.1.3
% 0.20/0.31  % (1304366)Termination reason: Refutation
% 0.20/0.31  % (1304366)Time elapsed: 0.031 s
% 0.20/0.31  % (1304366)Peak memory usage: 13 MB
% 0.20/0.31  % (1304366)Instructions burned: 50 (million)
% 0.20/0.31  % (1304355)Success in time 0.071 s
% 0.20/0.31  % Vampire exiting
%------------------------------------------------------------------------------